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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESD</journal-id><journal-title-group>
    <journal-title>Earth System Dynamics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Dynam.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2190-4987</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/esd-12-513-2021</article-id><title-group><article-title>Regional variation in the effectiveness of methane-based and land-based climate mitigation options</article-title><alt-title>Regional variation in the effectiveness of methane-based climate mitigation options</alt-title>
      </title-group><?xmltex \runningtitle{Regional variation in the effectiveness of methane-based climate mitigation options}?><?xmltex \runningauthor{G.~D.~Hayman et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Hayman</surname><given-names>Garry D.</given-names></name>
          <email>garr@ceh.ac.uk</email>
        <ext-link>https://orcid.org/0000-0003-3825-4156</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Comyn-Platt</surname><given-names>Edward</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7821-4998</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Huntingford</surname><given-names>Chris</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5941-7770</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Harper</surname><given-names>Anna B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7294-6039</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Powell</surname><given-names>Tom</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Cox</surname><given-names>Peter M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0679-2219</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Collins</surname><given-names>William</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7419-0850</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Webber</surname><given-names>Christopher</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3970-8172</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Lowe</surname><given-names>Jason</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Sitch</surname><given-names>Stephen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>House</surname><given-names>Joanna I.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Doelman</surname><given-names>Jonathan C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8 aff9">
          <name><surname>van Vuuren</surname><given-names>Detlef P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Chadburn</surname><given-names>Sarah E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1320-315X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Burke</surname><given-names>Eleanor</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2158-141X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Gedney</surname><given-names>Nicola</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2165-5239</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>UK Centre for Ecology &amp; Hydrology, Wallingford, OX10 8BB, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>College of Engineering, Mathematics, and Physical Sciences, University of Exeter, Exeter, EX4 4QF, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>College of Life and Environmental Sciences, University of Exeter, Exeter, EX4 4QF, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Meteorology, University of Reading, Reading, RG6 6BB, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>School of Earth and Environment, University of Leeds, Leeds, LS2 9JT, UK</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Met Office Hadley Centre, FitzRoy Road, Exeter, EX1 3PB, UK</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Cabot Institute for the Environment, University of Bristol, Bristol, BS8 1SS, UK</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Department of Climate, Air and Energy, Netherlands Environmental
Assessment Agency (PBL), <?xmltex \hack{\break}?> P.O. Box 30314, 2500 GH The Hague, the Netherlands</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Copernicus Institute of Sustainable Development, Utrecht University, <?xmltex \hack{\break}?> Heidelberglaan 2, 3584 CS Utrecht, the Netherlands</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Met Office Hadley Centre, Joint Centre for Hydrometeorological
Research, Wallingford, OX10 8BB, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Garry D. Hayman (garr@ceh.ac.uk)</corresp></author-notes><pub-date><day>5</day><month>May</month><year>2021</year></pub-date>
      
      <volume>12</volume>
      <issue>2</issue>
      <fpage>513</fpage><lpage>544</lpage>
      <history>
        <date date-type="received"><day>28</day><month>April</month><year>2020</year></date>
           <date date-type="rev-request"><day>17</day><month>June</month><year>2020</year></date>
           <date date-type="rev-recd"><day>23</day><month>February</month><year>2021</year></date>
           <date date-type="accepted"><day>5</day><month>March</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://esd.copernicus.org/articles/.html">This article is available from https://esd.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://esd.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://esd.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e285">Scenarios avoiding global warming greater than 1.5 or 2 <inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, as stipulated in the Paris Agreement, may require the combined mitigation of anthropogenic greenhouse gas emissions alongside enhancing negative emissions through approaches such as afforestation–reforestation (AR) and biomass energy with carbon capture and storage (BECCS). We use the JULES land surface model coupled to an inverted form of the IMOGEN climate emulator to investigate mitigation scenarios that achieve the 1.5 or 2 <inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming targets of the Paris Agreement. Specifically, within this IMOGEN-JULES framework, we focus on and characterise the global and regional effectiveness of land-based (BECCS and/or AR) and anthropogenic methane (<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) emission mitigation, separately and in combination, on the anthropogenic fossil fuel carbon dioxide (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) emission budgets (AFFEBs) to 2100. We use consistent data and socio-economic assumptions from the IMAGE integrated assessment model for the second Shared Socioeconomic Pathway (SSP2). The analysis includes the effects of the methane and carbon–climate feedbacks from wetlands and permafrost thaw, which we have shown previously to be significant constraints on the AFFEBs.</p>
    <?pagebreak page514?><p id="d1e328">Globally, mitigation of anthropogenic <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions has large impacts on the anthropogenic fossil fuel emission budgets, potentially offsetting (i.e. allowing extra) carbon dioxide emissions of 188–212 Gt C. This is because of (a) the reduction in the direct and indirect radiative forcing of methane in response to the lower emissions and hence atmospheric concentration of methane and (b) carbon-cycle changes leading to increased uptake by the land and ocean by <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-based fertilisation. Methane mitigation is beneficial everywhere, particularly for the major <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emitting regions of India, the USA, and China. Land-based mitigation has the potential to offset 51–100 Gt C globally, the large range reflecting assumptions and uncertainties associated with BECCS. The ranges for <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reduction and BECCS implementation are valid for both the 1.5 and 2 <inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming targets. That is the mitigation potential of the <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and of the land-based scenarios is similar for regardless of which of the final stabilised warming levels society aims for. Further, both the effectiveness and the preferred land management strategy (i.e. AR or BECCS) have strong regional dependencies. Additional analysis shows extensive BECCS could adversely affect water security for several regions. Although the primary requirement remains mitigation of fossil fuel emissions, our results highlight the potential for the mitigation of <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions to make the Paris climate targets more achievable.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e416">The stated aims of the Paris Agreement of the United Nations Framework
Convention on Climate Change (UNFCCC, 2015) are “to hold the increase in
global average temperature to well below 2 <inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and to pursue
efforts to limit the increase to 1.5 <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C”. The global average
surface temperature for the decade 2006–2015 was 0.87 <inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C above
pre-industrial levels and is likely to reach 1.5 <inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C between the
years 2030 and 2052 if global warming continues at current rates (IPCC,
2018). The IPCC Special Report on Global Warming of 1.5 <inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (IPCC,
2018) gives the median remaining carbon budgets between 2018 and 2100 as 770 Gt <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (210 Gt C) and 1690 Gt <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">461</mml:mn></mml:mrow></mml:math></inline-formula> Gt C) to limit global warming to 1.5 <inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 2 <inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. These budgets represent <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">41</mml:mn></mml:mrow></mml:math></inline-formula> years at present-day emission rates. The actual budgets could, however, be smaller, as they exclude Earth system feedbacks such as <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> released by permafrost thaw or <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> released by wetlands. Meeting the Paris Agreement goals will, therefore, require sustained reductions in sources of fossil carbon emissions, other long-lived anthropogenic greenhouse gases (GHGs), and some short-lived climate forcers (SLCFs) such as methane (<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), alongside increasingly extensive implementations of carbon dioxide removal (CDR) technologies (IPCC, 2018). Accurate information is needed about the range and efficacy of options available to achieve this.</p>
      <p id="d1e569">Biomass energy with carbon capture and storage (BECCS) and
afforestation–reforestation (AR) are among the most widely considered CDR
technologies in the climate and energy literature (Minx et al., 2018). For
scenarios consistent with a 2 <inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming target, the review by
Smith et al. (2016) finds this may require (i) a median removal of 3.3 Gt C yr<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> from the atmosphere through BECCS by 2100 and (ii) a mean CDR through AR of 1.1 Gt C yr<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> by 2100, giving a total CDR equivalent to 47 % of present-day emissions from fossil fuel and other industrial sources (Le Quéré et al., 2018). Although there are fewer scenarios that look specifically at the 1.5 <inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C pathway, BECCS is still the major CDR approach (Rogelj et al., 2018). For the default assumptions in Fuss et al. (2018), BECCS would remove a median of 4 Gt C by 2100 and a total of 41–327 Gt C from the atmosphere during the
21st century, equivalent to about 4–30 years of current annual emissions. The land requirements for BECCS will be greater for the
1.5 <inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target within a given shared socio-economic pathway (e.g.
SSP2), although published estimates are similar for the two warming targets,
with between 380–700 Mha required for the 2 <inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target (Smith et
al., 2016) and greater than 600 Mha for the 1.5 <inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target (van Vuuren et al., 2018). This is because the land requirements for bioenergy production differ strongly across the different SSPs, depending on
assumptions about the contribution of residues, assumed yields and yield
improvements, start dates of implementation, and the rates of deployment. While the CDR figures assume optimism about the mitigation potential of BECCS, concerns have been raised about the potentially detrimental impacts of BECCS on food production, water availability and biodiversity (e.g. Heck et al., 2018; Krause et al., 2017). Others note the risks and query the feasibility of large-scale deployment of BECCS (e.g. Anderson and Peters, 2016; Vaughan and Gough, 2016; Vaughan et al., 2018).</p>
      <p id="d1e642">Harper et al. (2018) find the overall effectiveness of BECCS to be strongly
dependent on the assumptions concerning yields, the use of initial
above-ground biomass that is replaced, and the calculated fossil fuel
emissions that are offset in the energy system. Notably, if BECCS involves
replacing ecosystems that have higher carbon contents than energy crops,
then AR and avoided deforestation can be more efficient than BECCS for
atmospheric <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> removal over this century (Harper et al., 2018).</p>
      <p id="d1e656">Mitigation of the anthropogenic emissions of non-<inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> GHGs such as
<inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and of SLCFs such as black carbon have been shown to be attractive strategies with the potential to reduce projected global mean warming by 0.22–0.5 <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C by 2050 (Shindell et al., 2012; Stohl et al., 2015). It should be noted that these were based on scenarios with continued use of fossil fuels. Through the link to tropospheric ozone (<inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), there are additional co-benefits of <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation for air quality, plant productivity and food production (Shindell et al., 2012), and carbon sequestration (Oliver et al., 2018). Control of anthropogenic <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions leads to rapid decreases in its atmospheric concentration, with an approximately 9-year removal lifetime (and as such is an SLCF). Furthermore, many <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation options are inexpensive or even cost-negative through the co-benefits achieved (Stohl et al., 2015), although expenditure becomes substantial at high levels of mitigation (Gernaat et al., 2015). The extra “allowable” carbon emissions from <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation can make a substantial difference to the feasibility or otherwise of achieving the Paris climate targets (Collins et al., 2018).</p>
      <?pagebreak page515?><p id="d1e747">Some increases in atmospheric <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are not related to direct
anthropogenic activity but indirectly to climate change triggering natural
carbon and methane–climate feedbacks. These effects could act as positive
feedbacks and thus in the opposite direction to the mitigation of
anthropogenic <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources. Wetlands are the largest natural source of <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the atmosphere and these emissions respond strongly to climate change (Gedney et al., 2019; Melton et al., 2013). A second natural feedback is from permafrost thaw. In a warming climate, the resulting microbial decomposition of previously frozen organic carbon is potentially one of the largest feedbacks from terrestrial ecosystems (Schuur et al., 2015). As the carbon and <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> climate feedbacks from natural wetlands and permafrost thaw could be substantial, this causes a reduction in anthropogenic <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission budgets compatible with climate change targets (Comyn-Platt et al., 2018a; Gasser et al., 2018).</p>
      <p id="d1e805">This paper models the potential for mitigation of greenhouse gases to contribute to meeting the Paris targets of limiting global warming to
1.5 <inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 2 <inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. Specifically, we investigate the effectiveness of mitigation of anthropogenic methane emissions and land-based mitigation (e.g. implementation of BECCS and AR), combining results from three recent papers (Collins et al., 2018; Comyn-Platt et al., 2018a; Harper et al., 2018). We determine the effectiveness of these approaches in terms of their impact on the anthropogenic fossil fuel <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions budget consistent with stabilising temperature at 1.5 and 2 <inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of warming. The more effective the mitigation option, the larger the fossil fuel <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions budget can be consistent with stabilisation at a given level. We estimate the impact of these mitigation scenarios relative to an existing scenario of greenhouse gas concentrations (based on the IMAGE SSP2 baseline), spanning uncertainties in both climate model projections (both global warming and regional climate change), process representation, and the efficacy of BECCS. Section 2 provides a brief
description of the models, the experimental set-up, and the key datasets used
in the model runs and subsequent analysis. Section 3 presents and discusses the results, starting with a global perspective before addressing the regional dimension. For BECCS, we additionally investigate the sensitivity to key assumptions and consider the implications for water security. Section 4 contains our conclusions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Approach and methodology</title>
      <p id="d1e865">Our overall modelling strategy is as follows. The starting point is the
prescription of global temperature profiles that match the historical
record, followed by a transition to a future stabilisation at either 1.5 or
2.0 <inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C above pre-industrial levels. For these profiles, we then
determine the related pathways in atmospheric radiative forcing by inversion
of the global energy balance component of the IMOGEN impacts model. IMOGEN
“Integrated Model Of Global Effects of climatic aNomalies” (Sect. 2.2) (Comyn-Platt et al., 2018a; Huntingford et al., 2010) is an intermediate complexity climate model, which emulates 34 models in the CMIP5 climate model ensemble. Hence, our radiative forcing (RF) trajectories have uncertainty bounds, reflecting the different climate sensitivities of existing climate models.</p>
      <p id="d1e877">For each radiative forcing pathway, we subtract the individual RF components
for non-<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and non-<inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiatively active gases that are
perturbed by human activity, using baseline and mitigation scenarios taken
from the IMAGE integrated assessment model. Following this, for <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> we represent its atmospheric chemistry by a single atmospheric lifetime to translate the methane emissions into atmospheric concentrations. The related RF for <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is also subtracted from the overall value. Hence, the remaining RF is that available for changes to atmospheric <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration. The IMOGEN model uses pattern scaling, again fitted to the same 34 climate models, to estimate local changes in near-surface meteorology. Combined with our global temperature pathways, these pattern-based changes (as well as atmospheric <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration) drive the Joint UK Land-Environment Simulator land surface model (JULES, Sect. 2.1) (Best et al., 2011; Clark et al., 2011). JULES estimates atmosphere–land <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exchange, and IMOGEN similarly contains a single global description of oceanic <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> draw-down. These two estimates of carbon exchanges with the land and ocean, respectively, in conjunction with atmospheric storage being linear in the <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pathway, finally determine by simple summation compatible <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from fossil fuel burning. We call this the anthropogenic (<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) fossil fuel emission budgets (AFFEB) compatible with the warming pathway, subject to the assumptions made for non-<inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> forcings.</p>
      <p id="d1e1014">Our numerical simulation structure allows us to investigate the implications
of three different key changes on AFFEB for stabilisation at both 1.5 and
2.0 <inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and in a structure that captures features of a full set of
climate models. First and maybe most importantly, we work to understand how
regional reductions in <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions allow higher values of AFFEB.
Second, we consider how alternative scenarios of BECCS implementation alter
atmosphere–land <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exchanges and again present the resultant
implications for AFFEB. Third, we determine how the newer understanding of
warming impacts on wetland methane emissions also affects AFFEB. Figure 1 captures the modelling framework, derivation of AFFEB, and our numerical experiments in a single overall schematic diagram.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1051">Schematic of the modelling approach and the workflow. The coloured boxes and text show the key components of the inverted IMOGEN-JULES model (blue), the prescribed and input data used in this study (orange), and the outputs (green).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f01.png"/>

      </fig>

      <p id="d1e1060">Each of the scenarios investigated using the IMOGEN-JULES framework comprises 2 ensembles of 136 members, one ensemble for each of the warming targets. We make use of these ensembles to derive an “uncertainty” in the derived carbon budgets, specifically from climate change (as given by the 34 CMIP5 models) and from key land surface processes (methane emissions from wetlands and the ozone vegetation damage). The climate change uncertainty comprises both the range of climate sensitivities of the CMIP5 models<?pagebreak page516?> and the different regional patterns in the models. We use the median of the 136-member ensemble as the central value to derive the carbon budgets and the interquartile range (25 %–75 %) for the uncertainty.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>The JULES model</title>
      <p id="d1e1070">We use the JULES land surface model (Best et al., 2011; Clark et al., 2011), release version 4.8 but with a number of additions required specifically for our analysis.
<?xmltex \hack{\newpage}?>
<list list-type="order"><list-item>
      <p id="d1e1077"><italic>Land use</italic>. We adopt the approach used by Harper et al. (2018) and prescribe managed land use and land use change (LULUC). On land used for agriculture, <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> grasses are allowed to grow to represent crops and pasture. The land use mask consists of an annual fraction of agricultural land in each grid cell. Historical LULUC is based on the HYDE 3.1 dataset (Klein Goldewijk et al., 2011), and future LULUC is based on two scenarios (SSP2 RCP1.9 and SSP2 baseline), which were developed for use in the IMAGE integrated<?pagebreak page517?> assessment model (IAM) (Doelman et al., 2018; van Vuuren et al., 2017) (see also Sect. 2.3).</p>
      <p id="d1e1104">Natural vegetation is represented by nine plant functional types (PFTs):
broadleaf deciduous trees, tropical broadleaf evergreen trees, temperate
broadleaf evergreen trees, needle-leaf deciduous trees, needle-leaf
evergreen trees, <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> grasses, and deciduous and evergreen shrubs (Harper et al., 2016). These PFTs are in competition for space in the non-agricultural fraction of grid cells, based on the TRIFFID (Top-down Representation of Interactive Foliage and Flora Including Dynamics) dynamic vegetation module within JULES (Clark et al., 2011). A further four PFTs are used to represent agriculture (<inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> crops and <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pasture), and
harvest is calculated separately for food and bioenergy crops (see Sect. 2.4.3, where we describe the modelling of carbon removed via bioenergy with CCS). When natural vegetation is converted to managed agricultural land, the vegetation carbon removed is placed into woody product pools that decay at various rates back into the atmosphere (Jones et al., 2011). Hence, the carbon flux from LULUC is not lost from the system. There are also four non-vegetated surface types: urban, water, bare
soil, and ice.</p></list-item><list-item>
      <p id="d1e1175"><italic>Soil carbon</italic>. Following Comyn-Platt et al. (2018a), we also use a 14-layered soil column for both hydro-thermal (Chadburn et al., 2015) and carbon dynamics (Burke et al., 2017b). Burke et al. (2017a) demonstrated that modelling the soil carbon fluxes as a multi-layered scheme improves estimates of soil carbon stocks and net ecosystem exchange. In addition to the vertically discretised respiration and litter input terms, the soil–carbon balance calculation also includes a diffusivity term to represent cryoturbation–bioturbation processes. The freeze–thaw process of cryoturbation is particularly important in cold permafrost-type soils (Burke et al., 2017a). Following Burke et al. (2017b), we diagnose permafrost wherever the deepest soil layer is below 0 <inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (assuming that this layer is below the depth of zero annual amplitude, i.e. where seasonal changes in ground temperature are negligible (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)). Further, for permafrost regions, there is an additional variable to trace or diagnose “old” carbon and its release from permafrost as it thaws.</p>
      <p id="d1e1208">The multi-layered methanogenesis scheme improves the representation of high
latitude <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, where previous studies underestimated
production at cold permafrost sites during “shoulder seasons” (Zona et
al., 2016). Figure 2 shows the annual cycle in the observed and modelled wetland <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions at the Samoylov Island field site (Fig. 2a) and a comparison of observed and modelled annual mean fluxes at this and other sites (Fig. 2b). The range of uncertainty used in our study (JULES low <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–JULES high <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) captures the range of uncertainty in the observations. In Fig. 2b, the error bars denote the lower and upper estimates from the low and high <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> simulations. The symbols
represent the mean value between these estimates. Further, the layered
methane scheme used in this work gives a better description of the shoulder
season emissions when compared with the original, non-layered methane scheme in JULES. The multi-layered scheme allows an insulated sub-surface layer of active methanogenesis to continue after the surface has frozen. These model developments not only improve the seasonality of the emissions but more importantly for this study capture the release of carbon as <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from deep soil layers, including thawed permafrost. Further evaluation of the multi-layer scheme can be found in Chadburn et al. (2020).</p></list-item><list-item>
      <p id="d1e1279"><italic>Methane from wetlands</italic>. Following Comyn-Platt et al. (2018a), we also use the multi-layered soil carbon scheme described in (2) above to give the local land–atmosphere <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux, <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (kg C m<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>):<disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M90" display="block"><mml:mtable columnspacing="1em" class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi>k</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wetl</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mi mathvariant="normal">pools</mml:mi></mml:mrow></mml:munderover><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:munderover><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">γ</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">soil</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">soil</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>where <inline-formula><mml:math id="M91" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is a dimensionless scaling constant such that the global annual
wetland <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are 180 Tg <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in 2000 (as described in Comyn-Platt et al., 2018a), <inline-formula><mml:math id="M94" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> is the depth in soil column (in m), <inline-formula><mml:math id="M95" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> is the soil carbon pool, <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">wetl</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (–) is the fraction of wetland area in the grid cell, <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (s<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is the specific respiration rate of each pool (Table 8 of Clark et al., 2011), <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (kg m<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is soil carbon, and <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (K) is the soil temperature. The decay constant <inline-formula><mml:math id="M102" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) describes the reduced contribution of <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission at deeper soil layers due to inhibited transport and increased oxidation through overlaying soil layers. This representation of inhibition and of the pathways for <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> release to the atmosphere (e.g. by diffusion, ebullition, and vascular transport) is a simplification. However, previous work that explicitly represented these processes showed little to no improvement when compared with in situ observations (McNorton et al., 2016). We do not model <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from freshwater lakes (and oceans).</p>
      <p id="d1e1663">Comyn-Platt et al. (2018a) varied <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. (1) to encapsulate a range of methanogenesis process uncertainty. They derive <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values for each GCM configuration to represent two wetland types identified in Turetsky et al. (2014) (“poor-fen” and “rich-fen”). They also include a third “low-<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>”, which gives increased importance to high-latitude emissions. Their ensemble spread was able to describe the magnitude and distribution of present-day <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from<?pagebreak page518?> natural wetlands, according to the models used in the then-current global methane assessment (Saunois et al., 2016). Here, we use the “low-<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” value of Comyn-Platt et al. (2018a) (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula>) and adopt a “high-<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” value of <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula> from the rich-fen parameterisation. The two <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values used here still capture the full range of the methanogenesis process uncertainty.</p></list-item><list-item>
      <p id="d1e1765"><italic>Ozone vegetation damage</italic>. We use a JULES configuration including ozone deposition damage to plant stomata, which affects land–atmosphere <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exchange (Sitch et al., 2007). JULES requires surface atmospheric ozone concentrations, <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppb), for the duration of the simulation period (1850–2100). As in Collins et al. (2018), we do not model tropospheric ozone production from <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> explicitly in IMOGEN. Instead, we use two sets of monthly near-surface <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration fields (January–December) from HADGEM3-A GA4.0 model runs, with the sets corresponding to low (1285 ppbv) and high (2062 ppbv) global mean atmospheric <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (Stohl et al., 2015). We assume that the atmospheric <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in each grid cell responds linearly to the atmospheric <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration. We derive separate linear relationships for each month and grid cell and use these to calculate the surface <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration from the corresponding global atmospheric <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration as it evolves during the IMOGEN run (Sect. 2.2.1). We use <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration profiles from the IMAGE SSP2 Baseline and RCP1.9 scenarios (Sect. 2.3.1) adjusted for natural methane sources (see 3 above and Sect. 2.3.3). We undertake runs using both the “high” and “low” vegetation ozone damage parameter sets (Sitch et al., 2007).</p></list-item></list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1883"><bold>(a)</bold> Observed (circles) and modelled wetland methane emissions at the Samoylov Island field site. Modelled wetland methane emissions are shown for the standard JULES non-layered soil carbon configuration (green) and for the JULES layered soil carbon configurations
with low (blue line) and high (magenta line) <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> temperature
sensitivities; the low <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> configuration gives higher methane emissions
at high-latitude sites such as the Samoylov Island field site. The methane
emission data are preliminary and were provided by Lars Kutzbach and David Holl. <bold>(b)</bold> Comparison of observed and modelled annual mean wetland <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission fluxes at a number of northern high-latitude and temperate sites. The error bars denote the lower and upper estimates from the low and high <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> simulations. The symbols represent the mean value between these estimates.</p></caption>
          <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>The IMOGEN intermediate complexity climate model</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>IMOGEN</title>
      <?pagebreak page519?><p id="d1e1956">The IMOGEN climate impacts model (Huntingford et al., 2010) uses “pattern-scaling” to estimate changes to the seven meteorological
variables required to drive JULES. Huntingford et al. (2010) assume that
changes in local temperature, precipitation, humidity, wind speed, surface
short-wave and long-wave radiation, and pressure are linear in global warming.
Spatial patterns of each variable (based on the 34 GCM simulations in CMIP5,
Comyn-Platt et al., 2018a) are multiplied by the amount of global warming over land, <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, to give local monthly predictions of climate change. When using IMOGEN in forward mode, <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated with an energy balance model (EBM) as a function of the overall changes in radiative forcing, <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi></mml:mrow></mml:math></inline-formula> (W m<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi></mml:mrow></mml:math></inline-formula> is the sum of the atmospheric greenhouse gas contributions (Eq. 2) (Etminan et al., 2016), which in the forward mode are either calculated (<inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) or prescribed (for other atmospheric contributors) on a yearly time step.
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M138" display="block"><mml:mtable columnspacing="1em" rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">total</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi><mml:mfenced open="(" close=")"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">non</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">GHGs</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aerosols</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">and</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">other</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">climate</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">forcers</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            The EBM includes a simple representation of the ocean uptake of heat and
<inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and uses a separate set of four parameters for each climate and Earth system model emulated (Huntingford et al., 2010): the climate feedback parameters over land and ocean, <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (W m<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), respectively, the oceanic “effective thermal diffusivity”, <inline-formula><mml:math id="M144" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> (W m<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), representing the ocean thermal inertia and a land–sea temperature contrast parameter, <inline-formula><mml:math id="M147" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula>, linearly relating warming over land, <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (K), to warming over ocean, <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (K), as <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The climate feedback parameters (<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are calibrated using model-specific data for the top of the atmosphere radiative fluxes, the mean land and ocean surface temperatures, and an estimate of the radiative forcing modelled for the <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes.</p>
      <p id="d1e2303">The atmospheric <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations available from the IMAGE database (see Sect. 2.3.1) assume a constant annual wetland <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission (van Vuuren et al., 2017). However, these emissions have interannual variability and a positive climate feedback (Comyn-Platt et al., 2018a; Gedney et al., 2019), and their correct representation is a central part of our study. We follow the same approach that we used in our previous studies (Collins et al., 2018; Comyn-Platt et al., 2018a; Gedney et al., 2019). As the IMOGEN-JULES modelling framework does not have an explicit representation of the atmospheric chemistry of methane, we represent the oxidation and hence loss of <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by a single lifetime (<inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>).
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M158" display="block"><mml:mtable class="split" rowspacing="0.2ex" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">IMAGE</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mfenced close="" open="{"><mml:mrow><mml:mo movablelimits="false">∑</mml:mo><mml:mi>F</mml:mi><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced close="}" open=""><mml:mrow><mml:mo>-</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:mi>F</mml:mi><mml:msub><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">IMAGE</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">REF</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            Here, [<inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] and [<inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">IMAGE</mml:mi></mml:msub></mml:math></inline-formula> are the atmospheric methane concentrations using our new wetland-based, time-varying (<inline-formula><mml:math id="M162" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>[<inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]) and the constant IMAGE (<inline-formula><mml:math id="M164" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>[<inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">IMAGE</mml:mi></mml:msub></mml:math></inline-formula>) wetland emissions, respectively.
Parameter <inline-formula><mml:math id="M167" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> is a constant to convert from Tg <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to a mixing ratio in parts per billion by volume (ppbv). Further, higher atmospheric
concentrations of <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and its oxidation product (carbon monoxide) lower the concentration of hydroxyl radicals, the major removal reaction for
<inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, thereby increasing the atmospheric lifetime of <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.
Conversely, lower <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations will shorten its atmospheric
lifetime. We take account of this feedback of <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on its lifetime (<inline-formula><mml:math id="M174" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>) using Eq. (4) (Collins et al., 2018; Comyn-Platt et al., 2018a; Gedney et al., 2019),
              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M175" display="block"><mml:mtable columnspacing="1em" rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>s</mml:mi><mml:mo>⋅</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>/</mml:mo><mml:msub><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">e</mml:mi><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi>s</mml:mi><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>/</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            In Eq. (4), [<inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the
contemporary atmospheric <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration and lifetime, and <inline-formula><mml:math id="M180" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> is the <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–OH feedback factor, defined by <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mo>∂</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. We take values of <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.4</mml:mn></mml:mrow></mml:math></inline-formula> years, <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1745</mml:mn></mml:mrow></mml:math></inline-formula> ppbv, and
<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.28</mml:mn></mml:mrow></mml:math></inline-formula> from Ehhalt et al. (2001, p. 248 and 250). In our earlier study on the climate–wetland methane feedback (Gedney et al., 2019), we investigated the sensitivity to the methane lifetime and the feedback factor, in addition to an analysis of the main drivers on the wetland methane–climate feedback and the main sources of uncertainty. Gedney et al. (2019) conclude that the limited knowledge of contemporary global wetland emissions is a larger source of uncertainty than that from the projected climate spread of the 34 GCMs. We quantify this uncertainty in our experimental design by using two values of <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (see Sect. 2.1).</p>
      <p id="d1e2883">In response to our dynamic interactive calculations of atmospheric <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, we derive the related change in methane radiative forcing (RF). We use the formulation from Etminan et al. (2016), which accounts for the short-wave absorption by <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the overlap with <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. The atmospheric oxidation of methane (by the hydroxyl radical) leads to the production of tropospheric ozone and stratospheric water vapour. We calculate these indirect contributions of methane to the overall radiative forcing, following the approach for methane adopted in our previous work (Collins et al., 2018; Comyn-Platt et al., 2018a; Gedney et al., 2019). Collins et al. (2018) represent the forcing contributions from <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and stratospheric water vapour as linear functions of the <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio, based on the analysis presented in IPCC AR5 (Myhre et al., 2013). The indirect methane forcings amount to
<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.36</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.09</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> per ppb <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (i.e. <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.65</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> times the <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiative efficiency). Hence, we incorporate the indirect effects of these <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission changes by an approximation, multiplying the <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiative forcing by 1.65.</p>
      <p id="d1e3045">In this study, we use the inverse version of IMOGEN, which follows prescribed temperature pathways (Fig. 3a), to derive the total radiative forcing (<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">total</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and then the <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiative forcing (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), using Eq. (2). Comyn-Platt et al. (2018a) describe the changes made to the EBM to create the inverse version. As each of the 34 GCMs that IMOGEN emulates has a different set of EBM parameters, each GCM has a different time-evolving radiative forcing (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi></mml:mrow></mml:math></inline-formula>) estimate for a given temperature pathway, <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">G</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. When IMOGEN is forced with a historical record of <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">G</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the range of <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi></mml:mrow></mml:math></inline-formula> for the near present-day values (year 2015) from the 34 GCMs is 1.13 W m<inline-formula><mml:math id="M206" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. To ensure a smooth transition to the modelled future, we require the historical period, 1850–2015, to match observations of both <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">G</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and atmospheric composition for all GCMs. As we have a model-specific estimate of the radiative forcing modelled for the <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes (see above), we
therefore attribute the spread in <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Q</mml:mi></mml:mrow></mml:math></inline-formula> to the uncertainty in the
non-<inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiative forcing component, particularly the atmospheric
aerosol contribution, which has an uncertainty range of <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Stocker et al., 2013). Apart from our modelled <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiative forcings and the potential future balances between them, we use the projections from the IMAGE SSP2 baseline or RCP1.9 scenario for the radiative forcing of other atmospheric contributors (Fig. 3b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3263">Time series of key datasets used in the study. <bold>(a)</bold> The
historic temperature record (black) and the prescribed temperature profiles
used to represent warming of 1.5 <inline-formula><mml:math id="M216" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (blue) and 2 <inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
(orange). <bold>(b)</bold> The historic (black) and the projected non-<inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> greenhouse gas radiative forcing (W m<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) for the control (green) and methane mitigation (purple) scenarios.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f03.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Temperature profile formulation</title>
      <p id="d1e3328">Huntingford et al. (2017) define a framework to create trajectories of global temperature increase, based on two parameters, and which model the efforts of humanity to limit<?pagebreak page520?> emissions of greenhouse gases and short-lived climate forcers, and, if necessary, capture atmospheric carbon. These profiles have the mathematical form of
              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M220" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.4}{9.4}\selectfont$\displaystyle}?><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">γ</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mfenced open="[" close="]"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Lim</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the change in temperature from pre-industrial levels at year <inline-formula><mml:math id="M222" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the temperature change at a given initial point (in this case <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.89</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 2015), <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Lim</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the final prescribed warming limit, and
              <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M227" display="block"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mi>t</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">and</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Lim</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M229" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> 0.00128) is the current rate of warming and <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are tuning parameters that describe anthropogenic attempts to stabilise global temperatures (Huntingford et al., 2017). The parameter values used for the two profiles are as follows: (a) the 1.5 <inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C profile uses <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">lim</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula>, and (b) the 2 <inline-formula><mml:math id="M237" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C profile uses <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">lim</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Scenarios and model runs</title>
      <p id="d1e3738">We undertake a control run and other simulations with anthropogenic <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation or land-based mitigation, stabilising at either 1.5 <inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C or 2.0 <inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming without a temperature overshoot. We denote the control run as “CTL” and the anthropogenic <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation scenario, a land-based mitigation scenario using BECCS, and a variant land-based scenario focussing on AR, as “<inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>”, “BECCS”, and “Natural”, respectively. We also undertake runs combining the <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and land-based mitigation scenarios (coupled “BECCS <inline-formula><mml:math id="M248" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” and coupled “Natural <inline-formula><mml:math id="M250" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>”) to determine if there are any non-linearities when we combine these mitigation scenarios. We summarise the key assumptions of these scenarios in Table 1.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star" orientation="landscape"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e3843">The IMOGEN-JULES and post-processing scenario runs, key features, and the input and prescribed datasets used in the scenarios.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3"><bold>(a)</bold> IMOGEN-JULES modelling scenarios (Note 1) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Scenario (abbreviation)</oasis:entry>
         <oasis:entry colname="col3">Scenario-specific input and prescribed datasets (Notes 2, 3)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Key features of the scenario</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1.</oasis:entry>
         <oasis:entry colname="col2">Control (“CTL”)</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific input data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Agricultural land accrued to feed growing populations</oasis:entry>
         <oasis:entry colname="col3">– Time series of radiative forcing by non-<inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> GHG and other non-<inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> climate forcers, for</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– No deployment of BECCS</oasis:entry>
         <oasis:entry colname="col3">SSP2 baseline scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">associated with the SSP2 pathway</oasis:entry>
         <oasis:entry colname="col3">– Time series of annual global atmospheric concentrations of <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> for the IMAGE</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Anthropogenic <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions rise from 318 Tg yr<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2005 to</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific prescribed data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">484 Tg yr<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2100</oasis:entry>
         <oasis:entry colname="col3">the IMAGE SSP2 baseline scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Effects of the methane and carbon-climate feedbacks from</oasis:entry>
         <oasis:entry colname="col3">– Gridded annual time series of areas assigned to agriculture (crops and pasture), for the</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">wetlands and permafrost thaw included</oasis:entry>
         <oasis:entry colname="col3">IMAGE SSP2 baseline scenario, converted into fractions of the IMOGEN-JULES grid cell</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.</oasis:entry>
         <oasis:entry colname="col2">Methane mitigation (“<inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>”)</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific input data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Agricultural land use as in Control (“CTL”) scenario</oasis:entry>
         <oasis:entry colname="col3">– Time series of radiative forcing by non-<inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> GHG and other non-<inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> climate forcers, for</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Anthropogenic <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions decline from 318 Tg yr<inline-formula><mml:math id="M263" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2005</oasis:entry>
         <oasis:entry colname="col3">the IMAGE SSP2 RCP1.9 scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">to 162 Tg yr<inline-formula><mml:math id="M264" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2100, from the IMAGE SSP2 RCP1.9 scenario</oasis:entry>
         <oasis:entry colname="col3">– Time series of annual global atmospheric concentrations of <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> for the IMAGE</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Effects of the methane and carbon–climate feedbacks from</oasis:entry>
         <oasis:entry colname="col3">SSP2 RCP1.9 scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">wetlands and permafrost thaw included</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific prescribed data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">– As 1, gridded annual time series of area assigned to agriculture (crops and pasture) and</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">converted into fractions of the IMOGEN-JULES grid cell</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3.</oasis:entry>
         <oasis:entry colname="col2">Land-based mitigation, including BECCS (“BECCS”)</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific input data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Land use change based on the IMAGE SSP2 RCP1.9 scenario</oasis:entry>
         <oasis:entry colname="col3">– Time series of radiative forcing by non-<inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> GHG and other non-<inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> climate forcers, for</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– High levels of REDD and full reforestation</oasis:entry>
         <oasis:entry colname="col3">the IMAGE SSP2 baseline scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Food-first policy so that bioenergy crops (BE) are only</oasis:entry>
         <oasis:entry colname="col3">– Time series of annual global atmospheric concentrations of <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> for the IMAGE</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">implemented on land not required for food production</oasis:entry>
         <oasis:entry colname="col3">SSP2 baseline scenario (as used in “CTL”)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Anthropogenic <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions as in Control (“CTL”) scenario</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific prescribed data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Effects of the methane and carbon-climate feedbacks from</oasis:entry>
         <oasis:entry colname="col3">– Gridded annual time series of areas assigned to agriculture (crops and pasture) and within</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">wetlands and permafrost thaw included</oasis:entry>
         <oasis:entry colname="col3">that the area for bioenergy crops, for the IMAGE SSP2 RCP1.9 scenario and converted into a</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">fraction of the IMOGEN-JULES grid cell</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4.</oasis:entry>
         <oasis:entry colname="col2">Land-based mitigation with no BECCS (“Natural”)</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific input data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Land use as 3, except any land area allocated to bioenergy crops</oasis:entry>
         <oasis:entry colname="col3">– Time series of radiative forcing by non-<inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> GHG and other non-<inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> climate forcers, for</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">is set to zero, allowing expansion of natural vegetation</oasis:entry>
         <oasis:entry colname="col3">the IMAGE SSP2 baseline scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Anthropogenic <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions as in Control (“CTL”) scenario</oasis:entry>
         <oasis:entry colname="col3">– Time series of annual global atmospheric concentrations of <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> for the IMAGE</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Effects of the methane and carbon–climate feedbacks from</oasis:entry>
         <oasis:entry colname="col3">SSP2 baseline scenario (as used in “CTL”)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">wetlands and permafrost thaw included</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific prescribed data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">– Gridded annual time series of areas assigned to agriculture (crops and pasture). As 3, except</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">any land allocated to bioenergy crops is set to zero and converted into a fraction of the</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">IMOGEN-JULES grid cell</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T2" specific-use="star" orientation="landscape"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e4568">Continued.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3"><bold>(a)</bold> IMOGEN-JULES modelling scenarios (Note 1) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Scenario (abbreviation)</oasis:entry>
         <oasis:entry colname="col3">Scenario-specific input and prescribed datasets (Notes 2, 3)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Key features of the scenario</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5.</oasis:entry>
         <oasis:entry colname="col2">Combined methane and land-based mitigation</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific input data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">“Coupled (<inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M285" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BECCS)”</oasis:entry>
         <oasis:entry colname="col3">– As in 2, time series of radiative forcing by non-<inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> GHG and other non-<inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> climate forcers,</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Combines <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation of 2 with land-based mitigation</oasis:entry>
         <oasis:entry colname="col3">for the IMAGE SSP2 RCP1.9 scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">scenario of 3</oasis:entry>
         <oasis:entry colname="col3">– As in 2, time series of annual global atmospheric concentrations of <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> for the</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">IMAGE SSP2 RCP1.9 scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><italic>Scenario-specific prescribed data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">– As in 3, gridded annual time series of areas assigned to agriculture (crops and pasture) and</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">within that the area for bioenergy crops, for the IMAGE SSP2 RCP1.9 scenario and converted</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">into prescribed fractions of the IMOGEN-JULES grid cell</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6.</oasis:entry>
         <oasis:entry colname="col2">Combined methane and land-based mitigation with no BECCS</oasis:entry>
         <oasis:entry colname="col3"><italic>Scenario-specific input data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">“Coupled (<inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M292" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Natural)”</oasis:entry>
         <oasis:entry colname="col3">– As in 2, time series of radiative forcing by non-<inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> GHG and other non-<inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> climate forcers,</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">– Combines <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation of 2 with land-based mitigation</oasis:entry>
         <oasis:entry colname="col3">for the IMAGE SSP2 RCP1.9 scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">scenario of 4</oasis:entry>
         <oasis:entry colname="col3">– As in 2, time series of annual global atmospheric concentrations of <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> for the</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">IMAGE SSP2 RCP1.9 scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><italic>Scenario-specific prescribed data</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">– As in 4, gridded annual time series of areas assigned to agriculture (crops and pasture) and</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">converted into a fraction of the IMOGEN-JULES grid cell</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3"><bold>(b)</bold> Post-processing scenarios (Note 1) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Scenario</oasis:entry>
         <oasis:entry colname="col3">Description of the scenario</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">“Abbreviation”</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7.</oasis:entry>
         <oasis:entry colname="col2">Optimisation of land-based mitigation</oasis:entry>
         <oasis:entry colname="col3">Optimisation of scenarios 3 and 4 by selecting the scenario, which has the larger carbon</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">“Land-based mitigation: Optimised”</oasis:entry>
         <oasis:entry colname="col3">uptake on a grid cell by grid cell basis</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8.</oasis:entry>
         <oasis:entry colname="col2">Optimisation of the combined methane and land-based mitigation</oasis:entry>
         <oasis:entry colname="col3">Optimisation of scenarios 5 and 6 by selecting the scenario, which has the larger carbon</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">“Coupled Optimised”</oasis:entry>
         <oasis:entry colname="col3">uptake on a grid cell by grid cell basis</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e4571">Each scenario comprises two 136-member ensembles (34 GCMs <inline-formula><mml:math id="M277" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 ozone damage sensitivities <inline-formula><mml:math id="M278" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 methanogenesis <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> temperature sensitivities): one for the 1.5 <inline-formula><mml:math id="M280" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming target and another for the 2 <inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming target. All of the above scenarios also use time series of (1) observed temperature changes between 1850 and 2015, (2) profiles of temperature change between 2015 and 2100 to achieve the 1.5 and the 2 <inline-formula><mml:math id="M282" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming targets, and (3) the radiative forcing changes of non-<inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiative
forcing between 1850 and 2015. We define (a) a “prescribed” dataset as one that is used unchanged in the IMOGEN-JULES modelling and (b) an “input” dataset as one that provides the initial values that are subsequently changed.</p></table-wrap-foot></table-wrap>

      <p id="d1e5098">We use future projections of atmospheric <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and LULUC (specifically, the areas assigned to agriculture and within that to BECCS) from the IMAGE SSP2 projections (Doelman et al., 2018) as input or
prescribed data for both the methane and land-based mitigation strategies
(Table 1). This ensures that all projections are consistent and based on the same set of IAM model and socio-economic pathway assumptions. The SSP2 socio-economic pathway is described as “middle of the road” (O'Neill et al., 2017), with social, economic, and technological trends largely following historical patterns observed over the past century. Global population growth is moderate and levels off in the second half of the century. The intensity of resource and energy use declines. We define the upper and lower limits of anthropogenic mitigation as the lowest (RCP1.9, denoted “IM-1.9”) and highest (“baseline”, denoted “IM-BL”) total radiative forcing pathways, respectively, within the IMAGE SSP2 ensemble (Riahi et al., 2017). As described in Sect. 2.2.1, we modify the atmospheric concentrations of
<inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the IMOGEN-JULES modelling, as the IMAGE scenarios assume
constant natural and hence wetland methane emissions.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Methane: baseline and mitigation scenario</title>
      <?pagebreak page523?><p id="d1e5130">The anthropogenic <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission increases from 318 Tg yr<inline-formula><mml:math id="M301" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2005 to 484 Tg yr<inline-formula><mml:math id="M302" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2100 in the IMAGE SSP2 baseline scenario but falls to 162 Tg yr<inline-formula><mml:math id="M303" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2100 in the IMAGE SSP2 RCP1.9 scenario. The sectoral <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in 2005 (Energy Supply and Demand: 113; Agriculture: 136; Other Land Use (primarily burning): 18; Waste 52; all in Tg yr<inline-formula><mml:math id="M305" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are in agreement with the latest estimates of the global methane cycle (Saunois et al., 2020). As summarised in Table S1 in the Supplement, the reduction in <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from specific source sectors is achieved as follows: (a) “coal production” by maximising <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> recovery from underground mining of hard coal; (b) “oil/gas production and distribution” through control of fugitive emissions from equipment and pipeline leaks and from venting during maintenance and repair; (c) “enteric fermentation” through change in animal diet and the use of more productive animal types; (d) “animal waste” by capture and use of the <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in anaerobic digesters; (e) “wetland rice production” through changes to the water management regime and to the soils to reduce methanogenesis; (f) “landfills” by reducing the amount of organic material deposited and by capture of any <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> released; and (g) “sewage and wastewater” through using more wastewater treatment plants and also recovery of the <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from such plants and through more aerobic wastewater treatment. The levels of reduction vary between sectors, from 50 % (agriculture) to 90 % (fossil fuel extraction and delivery). The abatement costs are between USD 300–1000 (1995 USD) (Table S1). Figure 4 presents the IMAGE baseline and RCP1.9 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission pathways globally and for selected IMAGE regions, including the major emitting regions of India, the USA, and China (Fig. S1 in the Supplement shows the emission pathways for all 26 IMAGE regions). These two methane emission pathways (IMAGE SSP2 baseline and RCP1.9) define our CTL and <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scenarios, respectively.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e5284">Time series of annual methane emissions between 2005 and 2100 from all and selected anthropogenic sources according to the IMAGE SSP2 Baseline (solid lines) and SSP2-RCP1.9 (dotted lines) scenarios, globally and for selected IMAGE regions, with total emissions in black, energy sector in red, agriculture – cattle in blue, agriculture – rice in green, and waste in magenta. Note that the <inline-formula><mml:math id="M313" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axes have different scales for clarity.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Land-based mitigation: baseline, BECCS, and Natural scenarios</title>
      <p id="d1e5308">For our land-based mitigation scenarios, we take time series of the annual
areas assigned to agriculture (crops and pasture) and within that, the area
allocated to bioenergy crops, from the IM-BL and IM-1.9 scenarios (defined
at the start of Sect. 2.3). We use the dynamic vegetation module in JULES to calculate the evolution of the natural plant functional types and the non-vegetated surface on the remaining land area in the grid cell (see Land use in Sect. 2.1).</p>
      <p id="d1e5311">The IM-BL LULUC scenario assumes (a) moderate land use change regulation,
(b) moderately effective land-based mitigation, (c) the current preference
for animal products, (d) moderate improvement in livestock efficiencies, and
(e) moderate improvement in crop yields (Table 1 in Doelman et al., 2018).
It represents a control scenario within which agricultural land is accrued to feed growing populations associated with the SSP2 pathway and with no deployment of BECCS. Three types of land-based climate change mitigation are
implemented in the IMAGE land use mitigation scenarios (Doelman et al.,
2018): (1) bioenergy, (2) reducing emissions from deforestation and degradation (REDD or avoided deforestation), and (3) reforestation of degraded forest areas. For the IM-1.9 scenario, there are high levels of REDD and full reforestation. The scenario assumes a food-first policy (Daioglou et al., 2019) so that bioenergy crops are only implemented on land not required for food production (e.g. abandoned agricultural crop land, most notably in central Europe, southern China, and the eastern USA, and on natural grasslands in central Brazil, eastern and southern Africa, and northern Australia; Doelman et al., 2018). The IM-1.9 scenario also requires bioenergy crops to replace forests in temperate and boreal regions (notably Canada and Russia). The demand for bioenergy is linked to the carbon price required to reach the mitigation target (Hoogwijk et al., 2009). In this scenario, the area of land used for bioenergy crops expands rapidly from 2030 to 2050, reaching a maximum of 550 Mha in 2060 and then declining to 430 Mha by 2100. Table 2 gives the maximum area of BECCS deployed in each IMAGE region for the IM-1.9 scenario. This defines the land use in the BECCS scenario.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e5317">IMAGE regions, the maximum area of BECCS deployed (Mha), and the main differences in land use between the BECCS and Natural scenarios.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.93}[.93]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">Abbreviation</oasis:entry>
         <oasis:entry colname="col3">Max. area of</oasis:entry>
         <oasis:entry colname="col4">Main land use difference between the BECCS and Natural scenarios</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">bioenergy</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">crops (Mha)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Canada</oasis:entry>
         <oasis:entry colname="col2">CAN</oasis:entry>
         <oasis:entry colname="col3">65.9</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">USA</oasis:entry>
         <oasis:entry colname="col2">USA</oasis:entry>
         <oasis:entry colname="col3">39.0</oasis:entry>
         <oasis:entry colname="col4">Agricultural land and forest to BECCS (BECCS). Agricultural land to forest (Natural)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mexico</oasis:entry>
         <oasis:entry colname="col2">MEX</oasis:entry>
         <oasis:entry colname="col3">7.1</oasis:entry>
         <oasis:entry colname="col4">Agricultural land to BECCS and forest (BECCS). Agricultural land to forest (Natural)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central America</oasis:entry>
         <oasis:entry colname="col2">RCAM</oasis:entry>
         <oasis:entry colname="col3">0.5</oasis:entry>
         <oasis:entry colname="col4">Little BECCS. Agricultural land to forests in both scenarios.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Brazil</oasis:entry>
         <oasis:entry colname="col2">BRA</oasis:entry>
         <oasis:entry colname="col3">27.8</oasis:entry>
         <oasis:entry colname="col4">Agricultural land to BECCS and forest (BECCS). Agricultural land to forest (Natural)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of South America</oasis:entry>
         <oasis:entry colname="col2">RSAM</oasis:entry>
         <oasis:entry colname="col3">20.3</oasis:entry>
         <oasis:entry colname="col4">Agricultural land to BECCS and forest (BECCS). Agricultural land to forest (Natural)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Northern Africa</oasis:entry>
         <oasis:entry colname="col2">NAF</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
         <oasis:entry colname="col4">No BECCS. No real differences between scenarios</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Western Africa</oasis:entry>
         <oasis:entry colname="col2">WAF</oasis:entry>
         <oasis:entry colname="col3">3.1</oasis:entry>
         <oasis:entry colname="col4">Little BECCS. Agricultural land to forests in both scenarios.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eastern Africa</oasis:entry>
         <oasis:entry colname="col2">EAF</oasis:entry>
         <oasis:entry colname="col3">33.9</oasis:entry>
         <oasis:entry colname="col4">Agricultural land to BECCS and forest (BECCS). Agricultural land to forest (Natural)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South Africa</oasis:entry>
         <oasis:entry colname="col2">SAF</oasis:entry>
         <oasis:entry colname="col3">1.0</oasis:entry>
         <oasis:entry colname="col4">Little BECCS. Agricultural land to forests in both scenarios.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of southern Africa</oasis:entry>
         <oasis:entry colname="col2">RSAF</oasis:entry>
         <oasis:entry colname="col3">63.7</oasis:entry>
         <oasis:entry colname="col4">Agricultural land to BECCS and forest (BECCS). Agricultural land to forest (Natural)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Western Europe</oasis:entry>
         <oasis:entry colname="col2">WEU</oasis:entry>
         <oasis:entry colname="col3">23.6</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central Europe</oasis:entry>
         <oasis:entry colname="col2">CEU</oasis:entry>
         <oasis:entry colname="col3">19.3</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Turkey</oasis:entry>
         <oasis:entry colname="col2">TUR</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
         <oasis:entry colname="col4">No BECCS. No real differences between scenarios</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ukraine region</oasis:entry>
         <oasis:entry colname="col2">UKR</oasis:entry>
         <oasis:entry colname="col3">11.4</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central Asia</oasis:entry>
         <oasis:entry colname="col2">STAN</oasis:entry>
         <oasis:entry colname="col3">0.7</oasis:entry>
         <oasis:entry colname="col4">Little BECCS. No real differences between scenarios</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Russia region</oasis:entry>
         <oasis:entry colname="col2">RUS</oasis:entry>
         <oasis:entry colname="col3">146.1</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Middle East</oasis:entry>
         <oasis:entry colname="col2">ME</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
         <oasis:entry colname="col4">No BECCS. No real differences between scenarios</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">India</oasis:entry>
         <oasis:entry colname="col2">INDIA</oasis:entry>
         <oasis:entry colname="col3">6.0</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Korea region</oasis:entry>
         <oasis:entry colname="col2">KOR</oasis:entry>
         <oasis:entry colname="col3">4.3</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">CHN</oasis:entry>
         <oasis:entry colname="col3">58.1</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South East Asia</oasis:entry>
         <oasis:entry colname="col2">SEAS</oasis:entry>
         <oasis:entry colname="col3">24.5</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario. Agricultural land to forest (Natural)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indonesia</oasis:entry>
         <oasis:entry colname="col2">INDO</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
         <oasis:entry colname="col4">No BECCS. Agricultural land to forests in both scenarios.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Japan</oasis:entry>
         <oasis:entry colname="col2">JAP</oasis:entry>
         <oasis:entry colname="col3">2.7</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of South Asia</oasis:entry>
         <oasis:entry colname="col2">RSAS</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
         <oasis:entry colname="col4">No BECCS. No real differences between scenarios</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oceania</oasis:entry>
         <oasis:entry colname="col2">OCE</oasis:entry>
         <oasis:entry colname="col3">78.7</oasis:entry>
         <oasis:entry colname="col4">Forest to BECCS in BECCS scenario</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e5774">We define a third LULUC pathway, which is identical to the ”BECCS” scenario, except that any land allocated to bioenergy crops is allocated
instead to natural vegetation, i.e. areas of natural land, which are converted to bioenergy crops, remain as natural vegetation, and areas that
are converted from food crops or pasture to bioenergy crops return to natural vegetation. We make no allowance for any changes in the energy
generation system, as this would require energy sector modelling that is
beyond the scope of this study. We denote this scenario as Natural. Table 2 also summarises the main differences in land use between the BECCS and Natural scenarios for each IMAGE region.</p>
      <p id="d1e5777">Figure 5 presents time series of the land areas calculated for trees and prescribed for agriculture (including bioenergy crops) and bioenergy crops for the BECCS and Natural scenarios for the Russia and Brazil IMAGE regions, each as a difference to the baseline scenario (IM-BL). Figure S2 is equivalent to Fig. 5 for all the IMAGE regions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e5782">Time series of the land areas (in Mha) calculated for trees and prescribed for agriculture (including bioenergy crops) and bioenergy crops for the BECCS (orange) and Natural (green), as a difference to the baseline scenario (IM-BL), for Brazil <bold>(a)</bold> and Russia <bold>(b)</bold> IMAGE regions between 2000 and 2100. The dotted lines are the median and the spread the interquartile range for the 34 GCMs emulated
and 4 factorial sensitivity simulations.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Model runs</title>
      <p id="d1e5805">For each temperature pathway (1.5 or 2.0 <inline-formula><mml:math id="M314" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and for the baseline and each mitigation scenario, the set of scenario runs comprises a 136-member ensemble (34 GCMs <inline-formula><mml:math id="M315" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 ozone damage sensitivities <inline-formula><mml:math id="M316" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2
methanogenesis <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> temperature sensitivities). In all model runs, we
include the effects of the methane and carbon–climate feedbacks from wetlands and permafrost thaw, which we have shown previously to be significant constraints on the AFFEBs (Comyn-Platt et al., 2018a).</p>
      <?pagebreak page525?><p id="d1e5842">As shown in Fig. 1, we use a number of input or prescribed datasets: (a) time series of the annual area of land used for agriculture, including that for BECCS if appropriate; (b) time series of the global annual mean atmospheric concentrations of <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (and <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> for the radiative forcing calculations of <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>); (c) time series of the
overall radiative forcing by SLCFs and non-<inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> GHGs (corrected for the radiative forcing of <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>); and (d) time series of annual anthropogenic <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (used in the post-processing step). We take these from the IMAGE database for the relevant IMAGE SSP2 scenario (baseline or SSP2-1.9). Table 1 lists the main scenario runs, their key features and the prescribed datasets used (for agricultural land and BECCS, anthropogenic emissions and atmospheric concentrations of <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the non-<inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiative forcing).</p>
      <p id="d1e5947">Figure 6 presents the effect of these scenarios on the modelled atmospheric <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. We adjust the input atmospheric <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations to allow for the interannual variability in the wetland <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, as described in Sect. 2.2.1. As we use the same input datasets for the two warming targets, the major control on the modelled atmospheric <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations is the <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission pathway followed, with the temperature pathway (1.5 <inline-formula><mml:math id="M333" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C versus 2 <inline-formula><mml:math id="M334" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming) having a minor effect. For <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, on the other hand, the temperature and the <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission pathways both lead to increased atmospheric <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, with the temperature pathway having a slightly larger effect.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e6071"><bold>(a, c, e)</bold> Time series of the ensemble median atmospheric
<inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (with interquartile range as spread) derived for
each temperature profile for the following scenarios: <bold>(a)</bold> CTL and <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(c)</bold> BECCS and BECCS <inline-formula><mml:math id="M340" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(e)</bold> Natural and Natural <inline-formula><mml:math id="M342" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Panels <bold>(d, f, h)</bold> show the corresponding time series for the atmospheric
<inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f06.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Post-processing</title>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Anthropogenic fossil fuel emission budget and mitigation potential</title>
      <p id="d1e6180">Following Comyn-Platt et al. (2018a), we define the anthropogenic fossil fuel <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission budget (AFFEB) for scenario <inline-formula><mml:math id="M346" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> as the change in carbon stores from present to the year 2100:
<?xmltex \hack{\newpage}?><?xmltex \hack{\vspace*{-6mm}}?>
              <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M347" display="block"><mml:mtable class="split" rowspacing="0.2ex" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">AFFEB</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2100</mml:mn><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2015</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ocean</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2100</mml:mn><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ocean</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2015</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">atmos</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2100</mml:mn><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">atmos</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2015</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2015</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">2100</mml:mn><mml:msub><mml:mo>)</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            where <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ocean</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">atmos</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are the carbon stored in the land, ocean, and atmosphere, respectively, in year <inline-formula><mml:math id="M351" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> and BECCS(<inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is the carbon sequestered via BECCS between the years <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The atmospheric carbon store does not include <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This is a reasonable approximation, however, given the relative magnitudes of the atmospheric concentrations of <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> ppmv at the surface) and <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (400 ppmv).</p>
      <p id="d1e6487">Within the IMOGEN-JULES modelling framework, we use (a) the IMOGEN climate
emulator to derive the changes in the ocean and atmosphere carbon stores and (b) JULES for the changes in the land carbon store and carbon sequestered through BECCS. We discuss the changes in the carbon stores for the baseline and different mitigation scenarios in Sect. 3.1.</p>
      <?pagebreak page526?><p id="d1e6490"><?xmltex \hack{\newpage}?>For brevity in the subsequent discussion, we use the following shorthand where the terms on the right-hand side of Eq. (7) are equivalent to those on the right-hand side of Eq. (8):
              <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M359" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AFFEB</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">ocean</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">atmos</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            We define the mitigation potential (MP) for a mitigation strategy, <inline-formula><mml:math id="M360" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, as the difference between a control AFFEB (AFFEB<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ctl</mml:mi></mml:msub></mml:math></inline-formula>) and the AFFEB resulting from applying the strategy, i.e.
              <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M362" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MP</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">AFFEB</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">AFFEB</mml:mi><mml:mi mathvariant="normal">ctl</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            which can be broken down into its component parts as follows:
              <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M363" display="block"><mml:mtable rowspacing="0.2ex" class="split" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">MP</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi mathvariant="normal">MP</mml:mi><mml:mi>j</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">MP</mml:mi><mml:mi>j</mml:mi><mml:mi mathvariant="normal">ocean</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">MP</mml:mi><mml:mi>j</mml:mi><mml:mi mathvariant="normal">atmos</mml:mi></mml:msubsup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">MP</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi>j</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ctl</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi>j</mml:mi><mml:mi mathvariant="normal">ocean</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ctl</mml:mi><mml:mi mathvariant="normal">ocean</mml:mi></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi>j</mml:mi><mml:mi mathvariant="normal">atmos</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ctl</mml:mi><mml:mi mathvariant="normal">atmos</mml:mi></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Optimisation of the land-based mitigation</title>
      <?pagebreak page527?><p id="d1e6743">Harper et al. (2018) find that the land use pathways do not provide a clear
choice for the preferred mitigation pathway. The key issue is that replacing
natural vegetation with bioenergy crops often results in large emissions of
soil carbon and the loss of the benefits of maintaining forest carbon stocks. In such circumstances, Harper et al. (2018) find that the loss of soil carbon in regions with high carbon density makes it difficult for BECCS to deliver a net negative emission of <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Hence, to optimise the land-based mitigation (LBM), we compare the land carbon stocks in the BECCS and Natural scenarios. We then select the optimum land management option for each grid cell simulated as that which maximises the AFFEB by year 2100, i.e.
              <disp-formula id="Ch1.E11" content-type="numbered"><label>11</label><mml:math id="M365" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AFFEB</mml:mi><mml:mi mathvariant="normal">LBM</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">atmos</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">ocean</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">LBM</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            with
              <disp-formula id="Ch1.E12" content-type="numbered"><label>12</label><mml:math id="M366" display="block"><mml:mtable columnspacing="1em" rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{6.9}{6.9}\selectfont$\displaystyle}?><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">LBM</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>=</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{6.9}{6.9}\selectfont$\displaystyle}?><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mi>l</mml:mi><mml:mrow><mml:mi mathvariant="normal">grid</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">cells</mml:mi></mml:mrow></mml:munderover><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BECCS</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">where</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>&lt;</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BECCS</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mi mathvariant="normal">or</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mi>l</mml:mi><mml:mrow><mml:mi mathvariant="normal">grid</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">cells</mml:mi></mml:mrow></mml:munderover><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Natural</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">where</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Natural</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>&gt;</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BECCS</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            where <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">scenario</mml:mi><mml:mi mathvariant="normal">store</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is the change in carbon between 2015 and 2100 for the “store” (<inline-formula><mml:math id="M368" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> atmosphere, ocean, or land) for the LULUC scenario. We use the ocean and atmosphere contributions from the BECCS simulations as the changes in store size between the BECCS and Natural simulations are negligible (i.e. <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> Gt C).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS3">
  <label>2.4.3</label><title>Assumptions about BECCS efficiency</title>
      <p id="d1e6990">The efficacy of the BECCS scheme implemented in JULES is significantly lower
than that of other implementations (Harper et al., 2018), reflecting the
importance of assumptions about the efficiency of the BECCS process and
bioenergy crop yields in determining their ability to contribute to climate
mitigation. More specifically, there is (1) large uncertainty in carbon losses from farm to final storage (Harper et al. , 2018, assumed a 40 % loss compared to 13 %–52 % loss found in other studies) and (2) a large range in potential productivity of second-generation lignocellulosic bioenergy crops, with JULES falling on the low end. JULES in this study and
in Harper et al. (2018) simulated median average yields of <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> tDM ha<inline-formula><mml:math id="M372" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> , respectively, compared to measured median of 11.5 tDM ha<inline-formula><mml:math id="M374" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M375" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and simulated average of
15.8 tDM ha<inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M377" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in IMAGE. The JULES yield of
<inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula> tDM ha<inline-formula><mml:math id="M379" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M380" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> corresponds to <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">59</mml:mn></mml:mrow></mml:math></inline-formula> EJ yr<inline-formula><mml:math id="M382" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
of primary energy, using the maximum area for BECCS from Table 2 of 637.7 Mha and an energy yield of 19.5 GJ t DM<inline-formula><mml:math id="M383" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Daioglou et al., 2017). Bioenergy supplied 55.6 EJ yr<inline-formula><mml:math id="M384" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> or <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % of the primary energy requirement worldwide in 2017 (WBA, 2019). According to Smith et al. (2016), this would increase to <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">170</mml:mn></mml:mrow></mml:math></inline-formula> EJ yr<inline-formula><mml:math id="M387" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of primary energy in 2100 for negative emissions of 3.3 Gt Ceq yr<inline-formula><mml:math id="M388" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> from BECCS (as required for a 2 <inline-formula><mml:math id="M389" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming target).</p>
      <?pagebreak page528?><p id="d1e7221">As both of these components are assumed to be diagnostics of the simulations, we can modify the contribution of BECCS to the AFFEB via a post-processing scaling factor, <inline-formula><mml:math id="M390" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula>, which represents the efficiency of (1) and (2) with respect to the JULES parameterisation. That is, Eq. (12) becomes
              <disp-formula id="Ch1.E13" content-type="numbered"><label>13</label><mml:math id="M391" display="block"><mml:mtable class="split" rowspacing="0.2ex" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{6.7}{6.7}\selectfont$\displaystyle}?><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">LBM</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>=</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{6.7}{6.7}\selectfont$\displaystyle}?><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mi>l</mml:mi><mml:mrow><mml:mi mathvariant="normal">grid</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">cells</mml:mi></mml:mrow></mml:munderover><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">where</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Natural</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>&lt;</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mi mathvariant="normal">or</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mi>l</mml:mi><mml:mrow><mml:mi mathvariant="normal">grid</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">cells</mml:mi></mml:mrow></mml:munderover><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Natural</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">where</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Natural</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>&gt;</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            Figure 7 presents maps of the scaling factor required for BECCS to be the preferable mitigation option, as opposed to natural land carbon uptake, for each grid cell for warming of 1.5 or 2 <inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. There are large factors in the northern temperate and boreal regions, parts of Africa, and Australia. As discussed in Harper et al. (2018), this follows from the loss of soil carbon in the tropics and at high northern latitudes leading to long recovery or payback times (10–100<inline-formula><mml:math id="M393" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> and <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> years, respectively, Fig. 6c in their paper). The payback time is however insignificant when bioenergy crops replace existing agriculture, for example in Europe and eastern North America.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e7411">Scale factor required for BECCS to be the preferable mitigation option, as opposed to natural land carbon uptake. The data represents the median of the 136-member ensemble for the optimised land-based mitigation simulation. Panel <bold>(a)</bold> is for stabilisation at 1.5 <inline-formula><mml:math id="M395" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and panel <bold>(b)</bold> is for stabilisation at 2 <inline-formula><mml:math id="M396" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f07.png"/>

          </fig>

      <p id="d1e7445">Additionally, we define a threshold efficiency factor, <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which represents the required BECCS efficiency for BECCS to be a preferable mitigation strategy for a given grid-cell, i.e.
              <disp-formula id="Ch1.E14" content-type="numbered"><label>14</label><mml:math id="M398" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Natural</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msubsup></mml:mrow><mml:mi mathvariant="normal">BECCS</mml:mi></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            This increased efficiency can be considered to be the additional bioenergy
harvest (<inline-formula><mml:math id="M399" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>) and/or the reduced carbon losses from farm to storage needed to
pay back the carbon debt accrued due to land use change (since carbon removed via BECCS <inline-formula><mml:math id="M400" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mi mathvariant="italic">ε</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M402" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is the assumed efficiency factor for farm to storage carbon conservation and <inline-formula><mml:math id="M403" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is the simulated biomass harvest). In addition, <inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> implies a new threshold (or break-even) level of BECCS:
              <disp-formula id="Ch1.E15" content-type="numbered"><label>15</label><mml:math id="M405" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            In other words, BECCS<inline-formula><mml:math id="M406" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> is equivalent to the carbon loss due to the land use change to grow the bioenergy crops. Our IMOGEN-JULES simulations assume a 40 % carbon loss from farm to final storage, although other studies have assumed this to be as low as 13 % (Harper et al., 2018). To assess the feasibility of meeting this break-even level of BECCS, we calculate the harvest (<inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) that would be needed if carbon losses are to be minimised, i.e. by increasing <inline-formula><mml:math id="M408" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> from 0.6 to 0.87 and assuming in Eq. (15) that
              <disp-formula id="Ch1.Ex1"><mml:math id="M409" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.87</mml:mn><mml:msup><mml:mi>H</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">and</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">BECCS</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn><mml:mi>H</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            so
              <disp-formula id="Ch1.E16" content-type="numbered"><label>16</label><mml:math id="M410" display="block"><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">0.6</mml:mn><mml:mn mathvariant="normal">0.87</mml:mn></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mi>H</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            We discuss this further in Sect. 3.2.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Global perspective</title>
      <p id="d1e7685">We calculate the anthropogenic fossil fuel emission budget to limit global
warming to a particular temperature target as the sum of the changes in the
carbon stores of the atmosphere, land (vegetation and soil), and ocean
between 2015 and 2100 (Sect. 2.4.1, Eq. 7 and 8). We use a BECCS scale factor (<inline-formula><mml:math id="M411" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula>) of unity. In Fig. 8, we present the median and spread of the AFFEB (as box and whiskers) from the 136-member ensemble and the individual GCM and ESM contributions to the AFFEBs from the four carbon pools shown (points) for each of the main scenarios modelled using the IMOGEN-JULES or derived in the post-processing optimisation step (see Table 1 for description of the scenarios).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e7697">The contribution to the allowable anthropogenic fossil fuel emission budget (AFFEBs, Gt C) from the changes in the different carbon stores (atmosphere, ocean, land, and BECCS) for the various control and mitigation scenarios, illustrated using the temperature pathways for
1.5 <inline-formula><mml:math id="M412" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of warming. The bars are the median of the component 136-member ensembles, with the individual members shown as points. The
accompanying pink box and whisker plots to the right of each set of bars
are for the AFFEBs (as the sum of the changes in the component carbon
stores). The box and whisker plots show the median, interquartile range,
minimum, and maximum derived of the resulting AFFEB ensemble. The optimised
land-based and coupled mitigation options select the land use option, which
maximises the AFFEB for each model grid cell. Note that the land carbon
store for the <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scenario at <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> Gt C (median of ensemble) is not visible, although the individual ensemble members can be seen as the green points.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f08.png"/>

        </fig>

      <p id="d1e7736">In all the scenarios apart from the BECCS scenario, there is an increase in
the land carbon store, shown as positive changes for Coupled (Natural) and
Coupled (Optimised) but as smaller negative changes for <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
Natural, and Optimised scenarios. In the BECCS scenario, the land
carbon change becomes more negative than in the CTL scenario, as bioenergy crops replace ecosystems with higher carbon content. In the combined (coupled) <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and land-based mitigation scenarios, the
reduction in the emissions and hence atmospheric concentrations of <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> allow increased atmospheric concentrations of <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 6). There is increased uptake of carbon by the land, directly because of the increased atmospheric <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration and indirectly through the reduction in <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> damage. In the coupled BECCS scenario, this increased uptake of atmospheric <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is again offset by the land carbon lost through conversion of the land to bioenergy crops. We also find that there is increased uptake of <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by the oceans for all scenarios. A further co-benefit of reducing the <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions and allowing more <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions is that the oceanic drawdown of <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> rises (although it eventually falls to zero under climate stabilisation, and there would also be implications for ocean acidification). In Fig. 9a, we compare the AFFEBs for both the 1.5 and 2 <inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature pathways. We find that the absolute AFFEBs are 200–300 Gt C larger for the 2 <inline-formula><mml:math id="M427" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target than the 1.5 <inline-formula><mml:math id="M428" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target. These budgets are in agreement with other estimates, which include corrections to the historical period (Millar et al., 2017). In both Figs. 8 and 9, it should be noted that the land carbon store for the <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation option at <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> Gt C (median of ensemble) is not visible in these figures. There has, however, been a net increase in the land carbon store in the <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scenario when compared to the land carbon store in the control scenario (<inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">70.8</mml:mn></mml:mrow></mml:math></inline-formula> Gt C, median of ensemble). This then explains the positive changes shown for the land carbon stores in the coupled BECCS <inline-formula><mml:math id="M433" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and coupled Natural <inline-formula><mml:math id="M435" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scenarios.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e7971"><bold>(a, c)</bold> The allowable anthropogenic fossil fuel emission budgets (AFFEBs; Gt C) for the control (grey), <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation
(purple), land-based mitigation (green), coupled methane and land-based
mitigation (orange), and the linearly summed methane and land-based
mitigation (brown) for two temperature pathways asymptoting at 1.5 <inline-formula><mml:math id="M438" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (left) and 2.0 <inline-formula><mml:math id="M439" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (right). <bold>(b, d)</bold> The mitigation potential (Gt C) as the increase in AFFEB from the corresponding control run. The breakdown of each AFFEB and mitigation potential by the changes in the carbon stores is also shown: atmosphere (pale yellow), ocean (light blue), land (dark green), and BECCS (gold) is included alongside each bar. Note that the land carbon store for the <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scenario at <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> Gt C (median of ensemble) is not visible. There has, however, been a net increase in the land carbon store in this scenario when compared to the land carbon store in the control run (<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">70.8</mml:mn></mml:mrow></mml:math></inline-formula> Gt C, median of ensemble).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f09.png"/>

        </fig>

      <p id="d1e8046">Figure 9b shows the mitigation potential of each strategy, calculated as the change in the AFFEB from the corresponding control simulation, for the two temperature<?pagebreak page529?> pathways (Sect. 2.4.1, Eqs. 9 and 10). Methane mitigation is a
highly effective strategy: the AFFEBs are increased by 188–206 and
193–212 Gt C for the 1.5 and 2 <inline-formula><mml:math id="M443" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C scenarios, respectively, where the range represents the interquartile range from the 136-member ensemble (34 GCMs <inline-formula><mml:math id="M444" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M446" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 ozone sensitivities). This AFFEB increase equates to roughly 20–24 years of emissions at current rates for the 1.5 <inline-formula><mml:math id="M447" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target. Land-based mitigation strategies also provide significant increases of 51–57 and 56–62 Gt C for the 1.5 and 2 <inline-formula><mml:math id="M448" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C AFFEB estimates, respectively. This is equivalent to 6–7 years of emissions at current rates. For our BECCS assumptions (see also below), we find that the BECCS contribution is small for the optimised land-based mitigation pathway and that AR is a more effective land-based mitigation strategy (Fig. 9b). Although the primary challenge remains mitigation of fossil fuel emissions, these results highlight the potential of these mitigation options to make the Paris climate targets more achievable.</p>
      <p id="d1e8102">Furthermore, the <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and land-based mitigation strategies show little interaction, and their potential can be summed to give a comparable result to the coupled simulation (coupled vs. linear in Fig. 9a and b). This
decoupling is despite the <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from the agricultural sector being influenced by land use choices. We can effectively treat the two
mitigation strategies as independent, and their sum approximates the combined potential. Such linearity enables simpler and more direct comparisons.</p>
      <p id="d1e8127">Despite the substantial differences in the absolute AFFEBs for the 1.5 and 2 <inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C targets, the mitigation potential of the <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and land-based strategies is similar for the two temperature pathways considered. This similarity suggests that the mitigation strategies are robust to the target temperature; whether the international community aims for the 1.5 or 2 <inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target, afforestation, reforestation, reduced deforestation, and <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation are beneficial mitigation approaches.</p>
      <p id="d1e8170">For both temperature pathways (i.e. 1.5 or 2 <inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of warming), we investigate the contribution to the uncertainty range<?pagebreak page530?> from “climate” as represented by the 34 GCMs emulated and from the land processes investigated (Sect. 2.1). A GCM with higher climate sensitivity will have a lower AFFEB for a specific warming target (and vice versa). In our post-processing steps, we derive a number of statistical parameters from the complete 136-member or 34-member GCM ensemble for the individual factorial runs (low <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/low <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, low <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/high <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, high <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/low <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and high <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/high <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), such as mean, standard deviation, median, and various percentiles. Our focus is on the contribution different factors make to the overall standard deviation of the 136-member ensemble (<inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">All</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). By factoring out the climate variation (via their means), we calculate the standard deviation for the land processes investigated (<inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). With a knowledge of the overall standard deviation and that for land-only processes, we derive the contribution from “climate” (<inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">climate</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) assuming that the
variances are independent and can be summed (Eq. 17). The contributions of
uncertainty found are by comparing ratios of <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">climate</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.
            <disp-formula id="Ch1.E17" content-type="numbered"><label>17</label><mml:math id="M469" display="block"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">all</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">climate</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">land</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></disp-formula>
          We present the results of this analysis in Table 3 for the Anthropogenic Fossil Field <inline-formula><mml:math id="M470" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Emission Budgets and the Mitigation Potential (<inline-formula><mml:math id="M471" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> scenario – CTL) for the 1.5 <inline-formula><mml:math id="M472" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature profile (Table S2 is equivalent table for the 2 <inline-formula><mml:math id="M473" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature profile). Our overall finding is that the climate uncertainty dominates the uncertainty of the AFFEBs. However, when considering different trade-offs between land uncertainty and mitigation options, the impact of climate uncertainty is much weaker. Within the land uncertainty, the <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vegetation damage appears to make the greater contribution (from the changes in the mean). Although there is some variation in the ratio (<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">climate</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) between the scenarios (<inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula>, mean <inline-formula><mml:math id="M477" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation), this gives us confidence in the robustness of the uncertainty estimates derived across the scenarios and the two temperature profiles.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e8447">For the 1.5 <inline-formula><mml:math id="M478" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature profile, the mean of the 34-GCM member ensembles for the CTL and mitigation scenarios for the different factorial runs (low Q<inline-formula><mml:math id="M479" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>/low <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, low <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/high <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, high <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/low <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and high <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/high <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), the standard deviation of the full 136-member ensemble (Gt C), the derived standard deviations for land processes (<inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and climate (<inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">climate</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as represented by the 34 GCMs) and the ratio of <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">climate</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for <bold>(a)</bold> the Anthropogenic Fossil Field <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Emission Budgets and <bold>(b)</bold> the Mitigation Potential (<inline-formula><mml:math id="M491" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> scenario <inline-formula><mml:math id="M492" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> CTL).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Scenario</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">Mean of 34-member factorial run (Gt C) </oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry rowsep="1" namest="col7" nameend="col9" align="center">Standard deviation (Gt C) </oasis:entry>
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Low <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Low <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">High <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">High <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">136-member</oasis:entry>
         <oasis:entry colname="col8">Land</oasis:entry>
         <oasis:entry colname="col9">Climate</oasis:entry>
         <oasis:entry colname="col10">Ratio</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Low <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">High <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Low <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">High <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">ensemble</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">climate</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">climate</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">land</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col10"><bold>(a)</bold> AFFEB </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CTL</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.66</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.58</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.91</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">47.12</oasis:entry>
         <oasis:entry colname="col8">7.60</oasis:entry>
         <oasis:entry colname="col9">46.50</oasis:entry>
         <oasis:entry colname="col10">6.12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">179.44</oasis:entry>
         <oasis:entry colname="col3">186.79</oasis:entry>
         <oasis:entry colname="col4">168.73</oasis:entry>
         <oasis:entry colname="col5">174.90</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">47.54</oasis:entry>
         <oasis:entry colname="col8">6.59</oasis:entry>
         <oasis:entry colname="col9">47.08</oasis:entry>
         <oasis:entry colname="col10">7.14</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BECCS</oasis:entry>
         <oasis:entry colname="col2">6.49</oasis:entry>
         <oasis:entry colname="col3">3.42</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M509" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.09</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.80</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">47.45</oasis:entry>
         <oasis:entry colname="col8">4.76</oasis:entry>
         <oasis:entry colname="col9">47.21</oasis:entry>
         <oasis:entry colname="col10">9.91</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Natural</oasis:entry>
         <oasis:entry colname="col2">42.57</oasis:entry>
         <oasis:entry colname="col3">24.60</oasis:entry>
         <oasis:entry colname="col4">35.00</oasis:entry>
         <oasis:entry colname="col5">16.05</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">48.95</oasis:entry>
         <oasis:entry colname="col8">10.07</oasis:entry>
         <oasis:entry colname="col9">47.90</oasis:entry>
         <oasis:entry colname="col10">4.75</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Optimised land-based</oasis:entry>
         <oasis:entry colname="col2">46.42</oasis:entry>
         <oasis:entry colname="col3">29.18</oasis:entry>
         <oasis:entry colname="col4">37.89</oasis:entry>
         <oasis:entry colname="col5">20.00</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">48.85</oasis:entry>
         <oasis:entry colname="col8">9.84</oasis:entry>
         <oasis:entry colname="col9">47.85</oasis:entry>
         <oasis:entry colname="col10">4.86</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Linear BECCS <inline-formula><mml:math id="M511" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">195.58</oasis:entry>
         <oasis:entry colname="col3">210.79</oasis:entry>
         <oasis:entry colname="col4">185.55</oasis:entry>
         <oasis:entry colname="col5">200.15</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">48.64</oasis:entry>
         <oasis:entry colname="col8">9.07</oasis:entry>
         <oasis:entry colname="col9">47.79</oasis:entry>
         <oasis:entry colname="col10">5.27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Linear_Natural <inline-formula><mml:math id="M513" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">231.67</oasis:entry>
         <oasis:entry colname="col3">231.97</oasis:entry>
         <oasis:entry colname="col4">222.64</oasis:entry>
         <oasis:entry colname="col5">222.00</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">48.70</oasis:entry>
         <oasis:entry colname="col8">4.76</oasis:entry>
         <oasis:entry colname="col9">48.47</oasis:entry>
         <oasis:entry colname="col10">10.19</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Linear optimised</oasis:entry>
         <oasis:entry colname="col2">235.51</oasis:entry>
         <oasis:entry colname="col3">236.55</oasis:entry>
         <oasis:entry colname="col4">225.53</oasis:entry>
         <oasis:entry colname="col5">225.96</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">48.69</oasis:entry>
         <oasis:entry colname="col8">5.16</oasis:entry>
         <oasis:entry colname="col9">48.42</oasis:entry>
         <oasis:entry colname="col10">9.39</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coupled BECCS <inline-formula><mml:math id="M515" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">199.69</oasis:entry>
         <oasis:entry colname="col3">214.62</oasis:entry>
         <oasis:entry colname="col4">189.50</oasis:entry>
         <oasis:entry colname="col5">203.94</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">48.48</oasis:entry>
         <oasis:entry colname="col8">9.01</oasis:entry>
         <oasis:entry colname="col9">47.64</oasis:entry>
         <oasis:entry colname="col10">5.29</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coupled Natural <inline-formula><mml:math id="M517" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">237.83</oasis:entry>
         <oasis:entry colname="col3">238.95</oasis:entry>
         <oasis:entry colname="col4">228.72</oasis:entry>
         <oasis:entry colname="col5">228.91</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">48.60</oasis:entry>
         <oasis:entry colname="col8">4.80</oasis:entry>
         <oasis:entry colname="col9">48.36</oasis:entry>
         <oasis:entry colname="col10">10.07</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Coupled optimised</oasis:entry>
         <oasis:entry colname="col2">241.50</oasis:entry>
         <oasis:entry colname="col3">243.29</oasis:entry>
         <oasis:entry colname="col4">231.35</oasis:entry>
         <oasis:entry colname="col5">232.60</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">48.60</oasis:entry>
         <oasis:entry colname="col8">5.27</oasis:entry>
         <oasis:entry colname="col9">48.31</oasis:entry>
         <oasis:entry colname="col10">9.17</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col10"><bold>(b)</bold> Mitigation potential </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CTL</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">189.10</oasis:entry>
         <oasis:entry colname="col3">207.37</oasis:entry>
         <oasis:entry colname="col4">187.64</oasis:entry>
         <oasis:entry colname="col5">205.96</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">9.28</oasis:entry>
         <oasis:entry colname="col8">9.18</oasis:entry>
         <oasis:entry colname="col9">1.39</oasis:entry>
         <oasis:entry colname="col10">0.15</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BECCS</oasis:entry>
         <oasis:entry colname="col2">16.14</oasis:entry>
         <oasis:entry colname="col3">24.01</oasis:entry>
         <oasis:entry colname="col4">16.82</oasis:entry>
         <oasis:entry colname="col5">25.26</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">4.24</oasis:entry>
         <oasis:entry colname="col8">4.11</oasis:entry>
         <oasis:entry colname="col9">1.05</oasis:entry>
         <oasis:entry colname="col10">0.26</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Natural</oasis:entry>
         <oasis:entry colname="col2">52.23</oasis:entry>
         <oasis:entry colname="col3">45.18</oasis:entry>
         <oasis:entry colname="col4">53.91</oasis:entry>
         <oasis:entry colname="col5">47.11</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">3.93</oasis:entry>
         <oasis:entry colname="col8">3.58</oasis:entry>
         <oasis:entry colname="col9">1.62</oasis:entry>
         <oasis:entry colname="col10">0.45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Optimised land-based</oasis:entry>
         <oasis:entry colname="col2">56.07</oasis:entry>
         <oasis:entry colname="col3">49.76</oasis:entry>
         <oasis:entry colname="col4">56.80</oasis:entry>
         <oasis:entry colname="col5">51.06</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">3.44</oasis:entry>
         <oasis:entry colname="col8">3.06</oasis:entry>
         <oasis:entry colname="col9">1.57</oasis:entry>
         <oasis:entry colname="col10">0.51</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Linear BECCS <inline-formula><mml:math id="M520" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M521" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">205.24</oasis:entry>
         <oasis:entry colname="col3">231.38</oasis:entry>
         <oasis:entry colname="col4">204.46</oasis:entry>
         <oasis:entry colname="col5">231.21</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">13.39</oasis:entry>
         <oasis:entry colname="col8">13.23</oasis:entry>
         <oasis:entry colname="col9">2.09</oasis:entry>
         <oasis:entry colname="col10">0.16</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Linear_Natural <inline-formula><mml:math id="M522" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">241.33</oasis:entry>
         <oasis:entry colname="col3">252.55</oasis:entry>
         <oasis:entry colname="col4">241.55</oasis:entry>
         <oasis:entry colname="col5">253.06</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">6.14</oasis:entry>
         <oasis:entry colname="col8">5.69</oasis:entry>
         <oasis:entry colname="col9">2.32</oasis:entry>
         <oasis:entry colname="col10">0.41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Linear optimised</oasis:entry>
         <oasis:entry colname="col2">245.17</oasis:entry>
         <oasis:entry colname="col3">257.13</oasis:entry>
         <oasis:entry colname="col4">244.44</oasis:entry>
         <oasis:entry colname="col5">257.02</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">6.55</oasis:entry>
         <oasis:entry colname="col8">6.14</oasis:entry>
         <oasis:entry colname="col9">2.28</oasis:entry>
         <oasis:entry colname="col10">0.37</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coupled BECCS <inline-formula><mml:math id="M524" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">209.34</oasis:entry>
         <oasis:entry colname="col3">235.20</oasis:entry>
         <oasis:entry colname="col4">208.41</oasis:entry>
         <oasis:entry colname="col5">235.00</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">13.27</oasis:entry>
         <oasis:entry colname="col8">13.12</oasis:entry>
         <oasis:entry colname="col9">2.01</oasis:entry>
         <oasis:entry colname="col10">0.15</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coupled Natural <inline-formula><mml:math id="M526" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">247.48</oasis:entry>
         <oasis:entry colname="col3">259.54</oasis:entry>
         <oasis:entry colname="col4">247.63</oasis:entry>
         <oasis:entry colname="col5">259.97</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">6.49</oasis:entry>
         <oasis:entry colname="col8">6.10</oasis:entry>
         <oasis:entry colname="col9">2.21</oasis:entry>
         <oasis:entry colname="col10">0.36</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coupled optimised</oasis:entry>
         <oasis:entry colname="col2">251.15</oasis:entry>
         <oasis:entry colname="col3">263.87</oasis:entry>
         <oasis:entry colname="col4">250.26</oasis:entry>
         <oasis:entry colname="col5">263.66</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">6.89</oasis:entry>
         <oasis:entry colname="col8">6.54</oasis:entry>
         <oasis:entry colname="col9">2.17</oasis:entry>
         <oasis:entry colname="col10">0.33</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page532?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Sensitivity to BECCS efficiency</title>
      <p id="d1e9803">The BECCS parameterisation used here makes BECCS less effective compared to
those in other studies (van Vuuren et al., 2018). Globally across the two
temperature targets, our simulations imply a removal of 27–30 Gt C from the active carbon cycle via BECCS in the original BECCS scenario run, which is reduced to <inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>–12 Gt C after we optimise the land use scenario. These removal rates are significantly lower than other estimates
based on the same land use scenarios: 73 Gt C in a similar dynamic global
vegetation model (LPJ-GUESS) and 130 Gt C in IMAGE (Harper et al., 2018). We find that doubling the carbon captured with BECCS in our simulations (Sect. 2.4.3, <inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) has a relatively small impact on the total mitigation potential in the optimised scenario (Fig. 10a). This low sensitivity is because the increased carbon removed by BECCS often accompanies a comparable decrease in the carbon uptake from the “natural”
vegetation that it replaces. It is only when setting the BECCS carbon
sequestration at 3–5 times its original value that there is a notable
increase of the global AFFEB. Further, as shown in Fig. 10b, there is
reduction in soil carbon in specific regions (e.g. northern temperate and
boreal regions), which makes BECCS less effective for carbon sequestration
than natural land management options (or there is a long payback time, as
discussed in Harper et al., 2018).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e9830"><bold>(a)</bold> The total and component mitigation potential (Gt C) for different mitigation options, involving methane and land use, as a function of the BECCS efficiency factor (<inline-formula><mml:math id="M530" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula>, Sect. 2.4.3) for the temperature pathway reaching 1.5 <inline-formula><mml:math id="M531" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The width of the lines represent the interquartile range of the 136-member ensembles. Maps of <bold>(b)</bold> the change of the modelled soil carbon (kg C m<inline-formula><mml:math id="M532" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) between 2015 and 2099, as the difference between the scenario with BECCS and the natural land-management scenario; <bold>(c)</bold> the modelled mean bioenergy crop yield in the JULES simulations (<inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>); and <bold>(d)</bold> the required bioenergy crop yield for BECCS to provide a larger
carbon uptake than forest regrowth and afforestation (assuming <inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and 87 % efficiency of BECCS). Grid cells that do not
exceed 1 % BECCS cover for any year in the simulation are masked grey.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f10.png"/>

        </fig>

      <p id="d1e9906">Increased carbon removal with BECCS could be realised through either (1) minimising the loss of carbon from farm to final storage (<inline-formula><mml:math id="M535" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> in Sect. 2.4.3) or (2) maximising the productivity of the bioenergy crop. Our IMOGEN-JULES simulations assume a 40 % carbon loss from farm to final storage, although other studies have assumed this to be
as low as 13 % (Harper et al., 2018). The bioenergy crop yields in JULES
(Fig. 10c) are lower than the median yield of Miscanthus (11.5 t of dry matter (t DM) ha<inline-formula><mml:math id="M536" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M537" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), as measured from 990 mostly European
plots (Li et al., 2018), and are about half the productivity of those in the
IMAGE simulations. We calculate for each IMOGEN grid cell the increase in
carbon removed via BECCS and the associated increase in bioenergy crop yields (<inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in Sect. 2.4.3) required for BECCS to be the preferred mitigation option (Fig. 10d), rather than natural<?pagebreak page533?> land carbon uptake, and assuming minimal amounts of carbon are lost during the BECCS life cycle (13 % carbon loss). In many places, we find that the required yield increases from <inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> to 10–20 t DM ha<inline-formula><mml:math id="M540" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M541" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> are achievable but that required yields of <inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> t DM ha<inline-formula><mml:math id="M543" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M544" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> would be more difficult to realise, given the range of yields observed (Li et al., 2018). We provide additional information in Table S4a–d on the modelled bioenergy yields and the yields required for bioenergy crops to be the preferred land-based mitigation option by IMAGE region. The tables also show that area of bioenergy crops and carbon sequestered by BECCS increases, as expected, with the BECCS scale factor (<inline-formula><mml:math id="M545" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula>).</p>
      <p id="d1e10028">We conclude that our uncorrected simulations are a lower estimate for the
potential of carbon removal via BECCS. We provide a more optimistic estimate of the BECCS potential using <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>, which results from doubling the JULES yields and increasing the efficiency <inline-formula><mml:math id="M547" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> from 0.6 to 0.87 (i.e. <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.87</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>). We now find the global land-based mitigation potential to be 88–100 Gt C across the two temperature targets, as shown in Fig. 9c and d. Figure S3 shows the corresponding plots for the 2 <inline-formula><mml:math id="M549" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming target. We use <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> in the subsequent analysis of regional mitigation options and of BECCS water requirements.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Regional analysis</title>
      <p id="d1e10099">We consider the sub-continental implications of <inline-formula><mml:math id="M551" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and land-based
mitigation options, using the 26 regions of the IMAGE model (Stehfest et
al., 2014). Figure 11 shows the contributions of the three mitigation options – <inline-formula><mml:math id="M552" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, carbon uptake through AR, and BECCS – to the AFFEBs for each IMAGE region and for the temperature pathway stabilising at 1.5 <inline-formula><mml:math id="M553" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e10135">The contribution to the allowable carbon emission budgets (Gt C) between 2015 and 2100 for each of the 26 IMAGE IAM regions from methane mitigation (purple bars) and land-based mitigation options (green: natural land uptake; yellow: BECCS with <inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) for the temperature pathway stabilising at 1.5°warming without overshoot. The bars and error bars show the median and the interquartile range, respectively, from the 136-member ensembles.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f11.png"/>

        </fig>

      <p id="d1e10156">We estimate the regional land-based mitigation as the change in the land carbon stores plus the carbon removal via BECCS for each IMAGE region
in the IMOGEN-JULES model output. In this accounting, the region where the
bioenergy crops are grown is credited with the carbon removal via BECCS. We
assume a 3-fold increase in carbon removal via BECCS compared to our
default simulations (<inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) to highlight regions where BECCS is
potentially viable. Figure 12 shows the sensitivity of the global AFFEBs and mitigation potential for <inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, 2, and 3 for 1.5 <inline-formula><mml:math id="M557" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of warming (Fig. S3 is the corresponding figure for 2 <inline-formula><mml:math id="M558" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of warming). For <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we use regional-scale factors to allocate changes in the global atmospheric <inline-formula><mml:math id="M560" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration, and therefore the <inline-formula><mml:math id="M561" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation potential, to each region, as shown in Table S3. To derive the regional-scale factors, we separately sum the projected anthropogenic <inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions between 2020 and 2100<?pagebreak page534?> between the IMAGE SSP2-Baseline and SSP2-1.9 scenarios (van Vuuren et al., 2017). We calculate the scale factor as the regional fraction of the global difference in the summed emissions (Table S3). These two <inline-formula><mml:math id="M563" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scenarios are consistent with the <inline-formula><mml:math id="M564" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration pathways considered in the <inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scenario simulations (Sect. 2.3). We use the scale factors to produce Figs. 11 and 12 (and Figs. S3 and S4).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e10282">Contribution of different mitigation options to the increase in allowable anthropogenic fossil fuel emission budgets by IMAGE region to meet the 1.5 <inline-formula><mml:math id="M566" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target. The stacked bars represent the median methane mitigation potential (purple bars) and median land-based mitigation potential (natural land uptake, green; BECCS, brown). Panel <bold>(a)</bold> is based on a BECCS scaling factor of unity, panel <bold>(b)</bold> a BECCS scaling factor of 2, and panel <bold>(c)</bold> a BECCS scaling factor of 3. The total (pink) shows the median and interquartile range of the 136-member ensembles.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f12.png"/>

        </fig>

      <p id="d1e10309"><inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation is an effective mitigation strategy for all regions, and especially the major methane emitting regions: India, southern Africa, the USA, China, and Australasia. Figure 4 presented time series of the anthropogenic <inline-formula><mml:math id="M568" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions for selected IMAGE region from 2000 to 2100 (and Fig. S1 presents emission time series for all IMAGE regions). The mitigation of <inline-formula><mml:math id="M569" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from fossil fuel production, distribution and use for energy is the largest contributor for India, southern Africa, the USA, China, and Australasia. The emissions from agriculture relating to cattle (for India, USA and China) and rice production (China and other Asian regions) make smaller contributions.</p>
      <?pagebreak page536?><p id="d1e10344">The impact of the land-based mitigation options links strongly to the managed land use and land use change (LULUC). As discussed in Sect. 2.3.2, we list in Table 2 the maximum area of BECCS deployed in each IMAGE region and the main
differences in land use between the BECCS and Natural scenarios. Figure 5 presents time series of the land areas calculated for trees and prescribed for agriculture (including bioenergy crops) and bioenergy crops for the BECCS and Natural scenarios for the Russia and Brazil IMAGE regions, each as a difference to the baseline scenario (IM-BL) (see Fig. S2 for all the IMAGE regions). The West Africa region shows the largest natural land carbon uptake (WAF in Fig. 12). Here, there is conversion of crop and pasture to forest, with little land used for bioenergy crops for BECCS. For Brazil (Fig. 5a) and the rest of South America, both bioenergy crops and forest expand at the expense of agricultural land. For many other regions, notably Canada, Russia, western and central Europe, China, and Oceania, there is less carbon uptake from the “land” in the optimised mitigation scenario, even though the overall carbon uptake has increased. For Canada and Russia, this results from the loss of forest in the BECCS land use scenario (see Figs. 5b and S3). The carbon uptake by BECCS increases as <inline-formula><mml:math id="M570" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> increases from 1 to 3 because there are more grid cells where “BECCS” is the preferred mitigation option in the optimisation process, as evidenced by the increase in area of bioenergy crops
(Table S4a and c). As <inline-formula><mml:math id="M571" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> only affects the “BECCS” term (Sect. 2.4.3, Eq. 13), the increased carbon removed by BECCS is often accompanied by a decrease in the carbon uptake from the “natural” vegetation that it replaces. This can be seen more clearly in Fig. 12 (and Fig. S3 for 2 <inline-formula><mml:math id="M572" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming) and Table S4b and d. The version of JULES used in this study currently lacks a fire regime. There will be risks to long-term storage of carbon stored in vegetation in regions with significant areas of fire-dominated vegetation cover (e.g. savannah in Brazil and Africa). Further, this version of JULES does not include a nitrogen cycle, which has been implemented in more recent versions of the model. This will enable the impact of changes in land use and agriculture on <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions to be integrated into the assessments.</p>
      <p id="d1e10383">There is relatively little difference in the additional allowable carbon
emission budgets introduced by <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and/or the land-based mitigation
between 2015 and 2100 for the two temperature pathways considered (Fig. S4 for the contributions at 2 <inline-formula><mml:math id="M575" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of warming).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Water resources</title>
      <p id="d1e10414">Smith et al. (2016) estimate the global water requirements for different
negative emission technologies, including BECCS. We also derive the water
requirements from the carbon uptake by BECCS for our optimised land-based
mitigation scenarios. The IM-1.9 land use scenario (Sect. 2.3.2) assumes that bioenergy crops are grown sustainably and are rain-fed (Daioglou et al., 2019; Hoogwijk et al., 2005). Our land surface modelling system explicitly accounts for this. We derive the additional water requirements for BECCS, using <inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> and assuming (a) a marginal increase in water use of 80 m<inline-formula><mml:math id="M577" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> (tC eq)<inline-formula><mml:math id="M578" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M579" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> when replacing the average short vegetation (i.e. <inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> grasses in JULES) by a biomass energy crop (Smith et al., 2016) and (b) 450 m<inline-formula><mml:math id="M581" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> (tC eq)<inline-formula><mml:math id="M582" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M583" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the CCS component (Smith et al., 2016).</p>
      <p id="d1e10516"><?xmltex \hack{\newpage}?>Following Postel et al. (1996), we derive the accessible runoff, using their
assumptions that only 5% of the total runoff is geographically and/or
temporally accessible for the Brazil, Russia, and Canada IMAGE regions and that 40 % is accessible elsewhere. Our present-day estimates of the global annual runoff
(43 000–44 200 km<inline-formula><mml:math id="M584" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M585" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and the accessible runoff for human use (11 400–11 720 km<inline-formula><mml:math id="M586" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M587" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (see Fig. 13) are both in agreement with the values given in Postel et al. (1996), i.e. total and accessible runoffs of 40 700 and 12 500 km<inline-formula><mml:math id="M588" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M589" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e10586">Global water availability (filled light blue bar) as a regionally dependent fraction of runoff (hollow light blue bar) for the year 2015. The water demand for irrigation (dark blue) and for other uses (i.e. energy generation, industry, and domestic; yellow) are taken from the SSP2-RCP2.6-IMAGE database. Note that there is very little BECCS additional water
demand (green) in 2015.</p></caption>
          <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f13.png"/>

        </fig>

      <p id="d1e10596">We use the water withdrawals for each IMAGE region given in the IMAGE-SSP2-RCP2.6 scenario for the water demand for agricultural irrigation
(Rost et al., 2008) and for other human activities, such as energy generation, industry, and domestic usage (Bijl et al., 2016) between 2015 and 2100 (Table 4a and b). We assume the same water demands from these sectors for both the 1.5 and 2 <inline-formula><mml:math id="M590" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming targets.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e10611"><bold>(a)</bold> Comparison by IMAGE region of the modelled available water (km<inline-formula><mml:math id="M591" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M592" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), the projected water withdrawals (km<inline-formula><mml:math id="M593" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M594" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) for irrigation and for other anthropogenic activities (energy generation, industry, domestic) from the IMAGE SSP2-RCP2.6 scenario, and the additional water required for BECCS (km<inline-formula><mml:math id="M595" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M596" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and as percentages of the net available water and of the water withdrawals for irrigation and other) for the year 2060. The percentage of runoff available for human use by IMAGE region is also included. Section <bold>(b)</bold> is the same as <bold>(a)</bold> but for 2100.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">Abbreviation</oasis:entry>
         <oasis:entry colname="col3">% of</oasis:entry>
         <oasis:entry colname="col4">Available</oasis:entry>
         <oasis:entry namest="col5" nameend="col7" align="center">Water demand </oasis:entry>
         <oasis:entry colname="col8">Total</oasis:entry>
         <oasis:entry colname="col9">BECCS</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">regional</oasis:entry>
         <oasis:entry colname="col4">water</oasis:entry>
         <oasis:entry colname="col5">Irrigation</oasis:entry>
         <oasis:entry colname="col6">other</oasis:entry>
         <oasis:entry colname="col7">BECCS</oasis:entry>
         <oasis:entry colname="col8">demand</oasis:entry>
         <oasis:entry colname="col9">demand</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">runoff</oasis:entry>
         <oasis:entry colname="col4">(km<inline-formula><mml:math id="M597" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M598" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(km<inline-formula><mml:math id="M599" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M600" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(km<inline-formula><mml:math id="M601" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M602" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(km<inline-formula><mml:math id="M603" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M604" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">as % of</oasis:entry>
         <oasis:entry colname="col9">as % of</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">available</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">available</oasis:entry>
         <oasis:entry colname="col9">total</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">water</oasis:entry>
         <oasis:entry colname="col9">demand</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col9"><bold>(a)</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Canada</oasis:entry>
         <oasis:entry colname="col2">CAN</oasis:entry>
         <oasis:entry colname="col3">40 %</oasis:entry>
         <oasis:entry colname="col4">243.19</oasis:entry>
         <oasis:entry colname="col5">3.39</oasis:entry>
         <oasis:entry colname="col6">14.21</oasis:entry>
         <oasis:entry colname="col7">44.45</oasis:entry>
         <oasis:entry colname="col8">25.5 %</oasis:entry>
         <oasis:entry colname="col9">71.6 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">USA</oasis:entry>
         <oasis:entry colname="col2">USA</oasis:entry>
         <oasis:entry colname="col3">5%</oasis:entry>
         <oasis:entry colname="col4">1010.82</oasis:entry>
         <oasis:entry colname="col5">149.55</oasis:entry>
         <oasis:entry colname="col6">96.07</oasis:entry>
         <oasis:entry colname="col7">44.55</oasis:entry>
         <oasis:entry colname="col8">28.7 %</oasis:entry>
         <oasis:entry colname="col9">15.4 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mexico</oasis:entry>
         <oasis:entry colname="col2">MEX</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">75.89</oasis:entry>
         <oasis:entry colname="col5">76.58</oasis:entry>
         <oasis:entry colname="col6">25.56</oasis:entry>
         <oasis:entry colname="col7">24.48</oasis:entry>
         <oasis:entry colname="col8">166.8 %</oasis:entry>
         <oasis:entry colname="col9">19.3 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central America</oasis:entry>
         <oasis:entry colname="col2">RCAM</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">185.92</oasis:entry>
         <oasis:entry colname="col5">8.16</oasis:entry>
         <oasis:entry colname="col6">15.49</oasis:entry>
         <oasis:entry colname="col7">2.28</oasis:entry>
         <oasis:entry colname="col8">13.9 %</oasis:entry>
         <oasis:entry colname="col9">8.8 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Brazil</oasis:entry>
         <oasis:entry colname="col2">BRA</oasis:entry>
         <oasis:entry colname="col3">40 %</oasis:entry>
         <oasis:entry colname="col4">310.65</oasis:entry>
         <oasis:entry colname="col5">12.24</oasis:entry>
         <oasis:entry colname="col6">34.44</oasis:entry>
         <oasis:entry colname="col7">73.12</oasis:entry>
         <oasis:entry colname="col8">38.6 %</oasis:entry>
         <oasis:entry colname="col9">61.0 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of South America</oasis:entry>
         <oasis:entry colname="col2">RSAM</oasis:entry>
         <oasis:entry colname="col3">5%</oasis:entry>
         <oasis:entry colname="col4">1779.42</oasis:entry>
         <oasis:entry colname="col5">93.50</oasis:entry>
         <oasis:entry colname="col6">46.49</oasis:entry>
         <oasis:entry colname="col7">67.66</oasis:entry>
         <oasis:entry colname="col8">11.7 %</oasis:entry>
         <oasis:entry colname="col9">32.6 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Northern Africa</oasis:entry>
         <oasis:entry colname="col2">NAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">0.11</oasis:entry>
         <oasis:entry colname="col5">61.60</oasis:entry>
         <oasis:entry colname="col6">54.63</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Western Africa</oasis:entry>
         <oasis:entry colname="col2">WAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">1962.47</oasis:entry>
         <oasis:entry colname="col5">28.29</oasis:entry>
         <oasis:entry colname="col6">118.83</oasis:entry>
         <oasis:entry colname="col7">0.39</oasis:entry>
         <oasis:entry colname="col8">7.5 %</oasis:entry>
         <oasis:entry colname="col9">0.3 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eastern Africa</oasis:entry>
         <oasis:entry colname="col2">EAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">485.18</oasis:entry>
         <oasis:entry colname="col5">53.92</oasis:entry>
         <oasis:entry colname="col6">63.10</oasis:entry>
         <oasis:entry colname="col7">2.45</oasis:entry>
         <oasis:entry colname="col8">24.6 %</oasis:entry>
         <oasis:entry colname="col9">2.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South Africa</oasis:entry>
         <oasis:entry colname="col2">SAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">0.60</oasis:entry>
         <oasis:entry colname="col5">13.45</oasis:entry>
         <oasis:entry colname="col6">9.28</oasis:entry>
         <oasis:entry colname="col7">0.48</oasis:entry>
         <oasis:entry colname="col8">3868.3 %</oasis:entry>
         <oasis:entry colname="col9">2.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of southern Africa</oasis:entry>
         <oasis:entry colname="col2">RSAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">182.48</oasis:entry>
         <oasis:entry colname="col5">10.03</oasis:entry>
         <oasis:entry colname="col6">41.36</oasis:entry>
         <oasis:entry colname="col7">56.02</oasis:entry>
         <oasis:entry colname="col8">58.9 %</oasis:entry>
         <oasis:entry colname="col9">52.2 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Western Europe</oasis:entry>
         <oasis:entry colname="col2">WEU</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">642.34</oasis:entry>
         <oasis:entry colname="col5">78.72</oasis:entry>
         <oasis:entry colname="col6">82.01</oasis:entry>
         <oasis:entry colname="col7">56.22</oasis:entry>
         <oasis:entry colname="col8">33.8 %</oasis:entry>
         <oasis:entry colname="col9">25.9 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central Europe</oasis:entry>
         <oasis:entry colname="col2">CEU</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">176.27</oasis:entry>
         <oasis:entry colname="col5">27.46</oasis:entry>
         <oasis:entry colname="col6">22.32</oasis:entry>
         <oasis:entry colname="col7">29.68</oasis:entry>
         <oasis:entry colname="col8">45.1 %</oasis:entry>
         <oasis:entry colname="col9">37.4 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Turkey</oasis:entry>
         <oasis:entry colname="col2">TUR</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">29.98</oasis:entry>
         <oasis:entry colname="col5">60.35</oasis:entry>
         <oasis:entry colname="col6">15.86</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ukraine region</oasis:entry>
         <oasis:entry colname="col2">UKR</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">67.47</oasis:entry>
         <oasis:entry colname="col5">11.73</oasis:entry>
         <oasis:entry colname="col6">25.90</oasis:entry>
         <oasis:entry colname="col7">12.28</oasis:entry>
         <oasis:entry colname="col8">74.0 %</oasis:entry>
         <oasis:entry colname="col9">24.6 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central Asia</oasis:entry>
         <oasis:entry colname="col2">STAN</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">20.57</oasis:entry>
         <oasis:entry colname="col5">88.26</oasis:entry>
         <oasis:entry colname="col6">32.62</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Russia region</oasis:entry>
         <oasis:entry colname="col2">RUS</oasis:entry>
         <oasis:entry colname="col3">40 %</oasis:entry>
         <oasis:entry colname="col4">270.32</oasis:entry>
         <oasis:entry colname="col5">42.30</oasis:entry>
         <oasis:entry colname="col6">51.60</oasis:entry>
         <oasis:entry colname="col7">103.87</oasis:entry>
         <oasis:entry colname="col8">73.2 %</oasis:entry>
         <oasis:entry colname="col9">52.5 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Middle East</oasis:entry>
         <oasis:entry colname="col2">ME</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">8.65</oasis:entry>
         <oasis:entry colname="col5">149.55</oasis:entry>
         <oasis:entry colname="col6">40.97</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">India</oasis:entry>
         <oasis:entry colname="col2">INDIA</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">319.36</oasis:entry>
         <oasis:entry colname="col5">374.18</oasis:entry>
         <oasis:entry colname="col6">501.06</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Korea region</oasis:entry>
         <oasis:entry colname="col2">KOR</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">42.85</oasis:entry>
         <oasis:entry colname="col5">6.20</oasis:entry>
         <oasis:entry colname="col6">9.75</oasis:entry>
         <oasis:entry colname="col7">12.64</oasis:entry>
         <oasis:entry colname="col8">66.7 %</oasis:entry>
         <oasis:entry colname="col9">44.2 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">CHN</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">887.26</oasis:entry>
         <oasis:entry colname="col5">338.81</oasis:entry>
         <oasis:entry colname="col6">236.89</oasis:entry>
         <oasis:entry colname="col7">87.73</oasis:entry>
         <oasis:entry colname="col8">74.8 %</oasis:entry>
         <oasis:entry colname="col9">13.2 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South East Asia</oasis:entry>
         <oasis:entry colname="col2">SEAS</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">1212.00</oasis:entry>
         <oasis:entry colname="col5">46.52</oasis:entry>
         <oasis:entry colname="col6">92.99</oasis:entry>
         <oasis:entry colname="col7">31.56</oasis:entry>
         <oasis:entry colname="col8">14.1 %</oasis:entry>
         <oasis:entry colname="col9">18.4 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indonesia</oasis:entry>
         <oasis:entry colname="col2">INDO</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">1293.05</oasis:entry>
         <oasis:entry colname="col5">8.18</oasis:entry>
         <oasis:entry colname="col6">113.87</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Japan</oasis:entry>
         <oasis:entry colname="col2">JAP</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">209.49</oasis:entry>
         <oasis:entry colname="col5">2.79</oasis:entry>
         <oasis:entry colname="col6">18.99</oasis:entry>
         <oasis:entry colname="col7">7.69</oasis:entry>
         <oasis:entry colname="col8">14.1 %</oasis:entry>
         <oasis:entry colname="col9">26.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of South Asia</oasis:entry>
         <oasis:entry colname="col2">RSAS</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">74.57</oasis:entry>
         <oasis:entry colname="col5">259.95</oasis:entry>
         <oasis:entry colname="col6">154.42</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Oceania</oasis:entry>
         <oasis:entry colname="col2">OCE</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">85.46</oasis:entry>
         <oasis:entry colname="col5">24.99</oasis:entry>
         <oasis:entry colname="col6">8.91</oasis:entry>
         <oasis:entry colname="col7">48.06</oasis:entry>
         <oasis:entry colname="col8">95.9 %</oasis:entry>
         <oasis:entry colname="col9">58.6 %</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col9"><bold>(b)</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Canada</oasis:entry>
         <oasis:entry colname="col2">CAN</oasis:entry>
         <oasis:entry colname="col3">40 %</oasis:entry>
         <oasis:entry colname="col4">240.14</oasis:entry>
         <oasis:entry colname="col5">4.31</oasis:entry>
         <oasis:entry colname="col6">11.72</oasis:entry>
         <oasis:entry colname="col7">45.21</oasis:entry>
         <oasis:entry colname="col8">25.5 %</oasis:entry>
         <oasis:entry colname="col9">73.8 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">USA</oasis:entry>
         <oasis:entry colname="col2">USA</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">993.09</oasis:entry>
         <oasis:entry colname="col5">148.57</oasis:entry>
         <oasis:entry colname="col6">81.35</oasis:entry>
         <oasis:entry colname="col7">45.45</oasis:entry>
         <oasis:entry colname="col8">27.7 %</oasis:entry>
         <oasis:entry colname="col9">16.5 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mexico</oasis:entry>
         <oasis:entry colname="col2">MEX</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">72.79</oasis:entry>
         <oasis:entry colname="col5">77.27</oasis:entry>
         <oasis:entry colname="col6">23.78</oasis:entry>
         <oasis:entry colname="col7">11.14</oasis:entry>
         <oasis:entry colname="col8">154.1 %</oasis:entry>
         <oasis:entry colname="col9">9.9 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central America</oasis:entry>
         <oasis:entry colname="col2">RCAM</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">182.12</oasis:entry>
         <oasis:entry colname="col5">8.74</oasis:entry>
         <oasis:entry colname="col6">13.96</oasis:entry>
         <oasis:entry colname="col7">0.66</oasis:entry>
         <oasis:entry colname="col8">12.8 %</oasis:entry>
         <oasis:entry colname="col9">2.8 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Brazil</oasis:entry>
         <oasis:entry colname="col2">BRA</oasis:entry>
         <oasis:entry colname="col3">40 %</oasis:entry>
         <oasis:entry colname="col4">307.53</oasis:entry>
         <oasis:entry colname="col5">12.31</oasis:entry>
         <oasis:entry colname="col6">30.80</oasis:entry>
         <oasis:entry colname="col7">54.89</oasis:entry>
         <oasis:entry colname="col8">31.9 %</oasis:entry>
         <oasis:entry colname="col9">56.0 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of South America</oasis:entry>
         <oasis:entry colname="col2">RSAM</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">1765.14</oasis:entry>
         <oasis:entry colname="col5">103.97</oasis:entry>
         <oasis:entry colname="col6">38.34</oasis:entry>
         <oasis:entry colname="col7">32.65</oasis:entry>
         <oasis:entry colname="col8">9.9 %</oasis:entry>
         <oasis:entry colname="col9">18.7 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Northern Africa</oasis:entry>
         <oasis:entry colname="col2">NAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">0.11</oasis:entry>
         <oasis:entry colname="col5">57.89</oasis:entry>
         <oasis:entry colname="col6">56.98</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Western Africa</oasis:entry>
         <oasis:entry colname="col2">WAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">1953.10</oasis:entry>
         <oasis:entry colname="col5">37.23</oasis:entry>
         <oasis:entry colname="col6">262.07</oasis:entry>
         <oasis:entry colname="col7">0.62</oasis:entry>
         <oasis:entry colname="col8">15.4 %</oasis:entry>
         <oasis:entry colname="col9">0.2 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eastern Africa</oasis:entry>
         <oasis:entry colname="col2">EAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">485.02</oasis:entry>
         <oasis:entry colname="col5">58.96</oasis:entry>
         <oasis:entry colname="col6">128.33</oasis:entry>
         <oasis:entry colname="col7">20.54</oasis:entry>
         <oasis:entry colname="col8">42.8 %</oasis:entry>
         <oasis:entry colname="col9">9.9 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South Africa</oasis:entry>
         <oasis:entry colname="col2">SAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">0.60</oasis:entry>
         <oasis:entry colname="col5">13.43</oasis:entry>
         <oasis:entry colname="col6">7.50</oasis:entry>
         <oasis:entry colname="col7">0.45</oasis:entry>
         <oasis:entry colname="col8">3563.3 %</oasis:entry>
         <oasis:entry colname="col9">2.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of southern Africa</oasis:entry>
         <oasis:entry colname="col2">RSAF</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">179.63</oasis:entry>
         <oasis:entry colname="col5">11.20</oasis:entry>
         <oasis:entry colname="col6">89.87</oasis:entry>
         <oasis:entry colname="col7">74.85</oasis:entry>
         <oasis:entry colname="col8">97.9 %</oasis:entry>
         <oasis:entry colname="col9">42.5 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Western Europe</oasis:entry>
         <oasis:entry colname="col2">WEU</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">637.68</oasis:entry>
         <oasis:entry colname="col5">80.39</oasis:entry>
         <oasis:entry colname="col6">118.64</oasis:entry>
         <oasis:entry colname="col7">45.25</oasis:entry>
         <oasis:entry colname="col8">38.3 %</oasis:entry>
         <oasis:entry colname="col9">18.5 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central Europe</oasis:entry>
         <oasis:entry colname="col2">CEU</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">171.05</oasis:entry>
         <oasis:entry colname="col5">26.90</oasis:entry>
         <oasis:entry colname="col6">20.63</oasis:entry>
         <oasis:entry colname="col7">23.19</oasis:entry>
         <oasis:entry colname="col8">41.3 %</oasis:entry>
         <oasis:entry colname="col9">32.8 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Turkey</oasis:entry>
         <oasis:entry colname="col2">TUR</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">29.52</oasis:entry>
         <oasis:entry colname="col5">60.49</oasis:entry>
         <oasis:entry colname="col6">12.87</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ukraine region</oasis:entry>
         <oasis:entry colname="col2">UKR</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">66.45</oasis:entry>
         <oasis:entry colname="col5">10.40</oasis:entry>
         <oasis:entry colname="col6">19.58</oasis:entry>
         <oasis:entry colname="col7">8.62</oasis:entry>
         <oasis:entry colname="col8">58.1 %</oasis:entry>
         <oasis:entry colname="col9">22.3 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central Asia</oasis:entry>
         <oasis:entry colname="col2">STAN</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">19.67</oasis:entry>
         <oasis:entry colname="col5">82.08</oasis:entry>
         <oasis:entry colname="col6">37.90</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Russia region</oasis:entry>
         <oasis:entry colname="col2">RUS</oasis:entry>
         <oasis:entry colname="col3">40 %</oasis:entry>
         <oasis:entry colname="col4">266.36</oasis:entry>
         <oasis:entry colname="col5">40.25</oasis:entry>
         <oasis:entry colname="col6">43.82</oasis:entry>
         <oasis:entry colname="col7">58.40</oasis:entry>
         <oasis:entry colname="col8">53.5 %</oasis:entry>
         <oasis:entry colname="col9">41.0 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Middle East</oasis:entry>
         <oasis:entry colname="col2">ME</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">8.60</oasis:entry>
         <oasis:entry colname="col5">136.63</oasis:entry>
         <oasis:entry colname="col6">39.30</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">India</oasis:entry>
         <oasis:entry colname="col2">INDIA</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">320.08</oasis:entry>
         <oasis:entry colname="col5">388.69</oasis:entry>
         <oasis:entry colname="col6">585.48</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e12352">Continued.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">Abbreviation</oasis:entry>
         <oasis:entry colname="col3">% of</oasis:entry>
         <oasis:entry colname="col4">Available</oasis:entry>
         <oasis:entry namest="col5" nameend="col7" align="center">Water demand </oasis:entry>
         <oasis:entry colname="col8">Total</oasis:entry>
         <oasis:entry colname="col9">BECCS</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">regional</oasis:entry>
         <oasis:entry colname="col4">water</oasis:entry>
         <oasis:entry colname="col5">Irrigation</oasis:entry>
         <oasis:entry colname="col6">other</oasis:entry>
         <oasis:entry colname="col7">BECCS</oasis:entry>
         <oasis:entry colname="col8">demand</oasis:entry>
         <oasis:entry colname="col9">demand</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">runoff</oasis:entry>
         <oasis:entry colname="col4">(km<inline-formula><mml:math id="M605" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M606" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(km<inline-formula><mml:math id="M607" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M608" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(km<inline-formula><mml:math id="M609" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M610" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(km<inline-formula><mml:math id="M611" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M612" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">as % of</oasis:entry>
         <oasis:entry colname="col9">as % of</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">available</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">available</oasis:entry>
         <oasis:entry colname="col9">total</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">water</oasis:entry>
         <oasis:entry colname="col9">demand</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col9"><bold>(b)</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Korea region</oasis:entry>
         <oasis:entry colname="col2">KOR</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">42.73</oasis:entry>
         <oasis:entry colname="col5">7.41</oasis:entry>
         <oasis:entry colname="col6">5.47</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">CHN</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">881.00</oasis:entry>
         <oasis:entry colname="col5">326.62</oasis:entry>
         <oasis:entry colname="col6">144.80</oasis:entry>
         <oasis:entry colname="col7">72.75</oasis:entry>
         <oasis:entry colname="col8">61.8 %</oasis:entry>
         <oasis:entry colname="col9">13.4 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South East Asia</oasis:entry>
         <oasis:entry colname="col2">SEAS</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">1213.01</oasis:entry>
         <oasis:entry colname="col5">45.46</oasis:entry>
         <oasis:entry colname="col6">131.95</oasis:entry>
         <oasis:entry colname="col7">19.49</oasis:entry>
         <oasis:entry colname="col8">16.2 %</oasis:entry>
         <oasis:entry colname="col9">9.9 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Indonesia</oasis:entry>
         <oasis:entry colname="col2">INDO</oasis:entry>
         <oasis:entry colname="col3">5%</oasis:entry>
         <oasis:entry colname="col4">1291.53</oasis:entry>
         <oasis:entry colname="col5">15.08</oasis:entry>
         <oasis:entry colname="col6">114.33</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Japan</oasis:entry>
         <oasis:entry colname="col2">JAP</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">208.43</oasis:entry>
         <oasis:entry colname="col5">2.12</oasis:entry>
         <oasis:entry colname="col6">13.29</oasis:entry>
         <oasis:entry colname="col7">6.94</oasis:entry>
         <oasis:entry colname="col8">10.7 %</oasis:entry>
         <oasis:entry colname="col9">31.1 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rest of South Asia</oasis:entry>
         <oasis:entry colname="col2">RSAS</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">74.19</oasis:entry>
         <oasis:entry colname="col5">245.78</oasis:entry>
         <oasis:entry colname="col6">227.85</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
         <oasis:entry colname="col8">0.0 %</oasis:entry>
         <oasis:entry colname="col9">0.0 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oceania</oasis:entry>
         <oasis:entry colname="col2">OCE</oasis:entry>
         <oasis:entry colname="col3">5 %</oasis:entry>
         <oasis:entry colname="col4">85.46</oasis:entry>
         <oasis:entry colname="col5">30.57</oasis:entry>
         <oasis:entry colname="col6">8.77</oasis:entry>
         <oasis:entry colname="col7">62.96</oasis:entry>
         <oasis:entry colname="col8">136.5 %</oasis:entry>
         <oasis:entry colname="col9">160.0 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page538?><p id="d1e12827">Figure 14 compares the accessible water with the water demand for BECCS and other human activities for the regions that produce a substantial amount of BECCS, Canada, USA, Brazil, Europe, Russia, China, southern Africa, and Oceania, for the optimised land-based mitigation. Table 4a and b show the additional water requirements of BECCS calculated for 2060 and 2100, respectively, for the 2 <inline-formula><mml:math id="M613" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming target. We find that the additional demand for BECCS would lead to an exceedance (or use <inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> %) of the available water for the Oceania and rest of southern Africa regions. We also find that the additional demand for BECCS is greater than the total water withdrawals from anthropogenic activities for the Canada and Brazil IMAGE regions. Our estimates represent a maximum possible water usage for BECCS as (i) the SSP2 scenario used already accounts for the lower power generation efficiencies and hence higher water requirements in switching from fossil fuels to bioenergy crops, which could be up to 20 %–25 %, and (ii) the figure used for the CCS component does not allow for future technological improvements in water use. For example, Fajardy and Mac Dowell (2017) indicate a 30-fold reduction in water use when changing from a once-through to a recirculating cooling tower. Our results are less severe than other studies considering BECCS water requirements (Séférian et al., 2018; Yamagata et al., 2018) because the carbon removed by BECCS in this study (30 Gt C) is already limited to regions where it is more beneficial to the AFFEB than forest-based mitigation options. We also note from Bijl et al. (2016) that the water demand for irrigation, derived using the coupled IMAGE-LPJmL models, is low compared to other estimates in the literature. Higher water demand for irrigation existing agriculture would be an additional constraint on the water available for BECCS. Nevertheless, our results indicate that the additional water demand for BECCS would have large impacts in half of the regions substantially invested in BECCS: Oceania, rest of southern Africa, Brazil, and Canada.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e12852">Water availability (light blue), SSP2-IMAGE water demand estimates for irrigation (dark blue), other uses (i.e. energy generation, industry, and domestic; yellow), and the additional water demand from BECCS (green) for the years 2059–2060 and 2099–2100 for the 2.0 <inline-formula><mml:math id="M615" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming target, with a BECCS <inline-formula><mml:math id="M616" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> factor of 3. The points are the individual results from the 136-member ensembles, while the bars are the corresponding median values of the ensembles.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://esd.copernicus.org/articles/12/513/2021/esd-12-513-2021-f14.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e12886">Our paper brings together previous studies that looked separately into the
potential of methane mitigation (Collins et al., 2018) and land management
options (especially forest conservation and BECCS) (Harper et al., 2018),
into a single unified framework. Uniquely, this allows us to compare these
options at local and regional scales. We utilise the detailed JULES
land surface model, which includes methane production from wetlands and
permafrost thaw (Comyn-Platt et al., 2018a) and the effect of <inline-formula><mml:math id="M617" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions on land carbon storage via ozone impacts on vegetation (Sitch et
al., 2007), and we also span the range of climate model projections using the
IMOGEN ESM emulator. For each temperature pathway and each of the three
mitigation options, the set of scenario runs comprises a 136-member ensemble
(34 GCMs <inline-formula><mml:math id="M618" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 ozone damage sensitivities <inline-formula><mml:math id="M619" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 methanogenesis <inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> temperature sensitivities).</p>
      <p id="d1e12925">This analysis quantifies the regional differences in potential <inline-formula><mml:math id="M621" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and/or land-based strategies to aid mitigation of climate change. We present
our findings within a full probabilistic framework, capturing uncertainty in
climate projections across the CMIP5 ensemble, as well as process uncertainties associated with the strength of natural <inline-formula><mml:math id="M622" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> climate
feedbacks from wetlands and ozone-induced vegetation damage. Globally,
mitigation of anthropogenic <inline-formula><mml:math id="M623" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions and the optimised land-based mitigation can potentially offset (i.e. allow extra) fossil fuel carbon dioxide emissions of 188–212 and 51–100 Gt C, respectively. These bounds are almost independent of the eventual global warming target or the climate sensitivity of the climate models emulated. As shown in Sect. 3.1, the <inline-formula><mml:math id="M624" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and land-based mitigation strategies show little interaction and their potential can be summed to give a comparable result to the corresponding coupled simulation. This decoupling is despite the <inline-formula><mml:math id="M625" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from the agricultural sector being influenced by land use choices. We can therefore treat the two mitigation strategies as independent and sum their individual potentials. Such linearity enables simpler and more direct comparisons between the carbon budgets of methane and land-based mitigation strategies. However, some caveats remain. Land surface models still require refinement, alongside improved characterisation of the assumptions inherent in the socio-economic pathways and IAM modelling. Further, we do not allow for the reduced emissions from fossil fuel combustion due to the bioenergy crop being grown (or the converse when bioenergy crops are<?pagebreak page539?> replaced in the Natural model run), as this would require energy sector modelling that is beyond the scope of this study.</p>
      <p id="d1e12983">For the Natural land-based scenario (see Table  1), we find a mitigation
potential of 50–55 Gt C (183–201 Gt <inline-formula><mml:math id="M626" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The land-based mitigation estimates vary over wide ranges, partly related to different assumptions on land use and carbon pools. Our results are within the wide range of the overall deployment of <inline-formula><mml:math id="M627" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> removal by agriculture, forestry, and other land use (including afforestation and reforestation) to 2100 of 200 [0–550] Gt <inline-formula><mml:math id="M628" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (in IPCC, 2018, p. 2.40) and of estimates of the cumulative potential to 2100 from 80 to 260 Gt <inline-formula><mml:math id="M629" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Table 2) in Minx et al. (2018). In the BECCS scenario, we obtain a geological carbon storage via BECCS (<inline-formula><mml:math id="M630" display="inline"><mml:mrow><mml:mn mathvariant="normal">27</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> Gt C median, interquartile range) similar to that (<inline-formula><mml:math id="M631" display="inline"><mml:mrow><mml:mn mathvariant="normal">30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> Gt C) derived by Harper et al. (2018), for the same land use scenario (IM-1.9). Our result is lower as we include the natural methane feedbacks from wetlands and permafrost thaw. Inclusion of this better process description leads to <inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % reduction in carbon budgets (Comyn-Platt et al., 2018a). These estimates for the geological carbon storage via BECCS are much lower than the corresponding value derived by the IMAGE IAM (130 Gt C). Harper et al. (2018) discuss this difference, identifying a number of reasons for the lower value: the use of initial above-ground biomass harvested in boreal forests for BECCS; the replacement of fossil-fuel-based emissions in the energy system; and specific assumptions about crop yields, conversion efficiency, use of residues, and the proportion of bioenergy crops used with CCS. Estimates of the BECCS contribution in the literature vary over a wide range (from 178 to <inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> Gt <inline-formula><mml:math id="M634" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, according to Minx et al., 2018), but in<?pagebreak page540?> recent studies these results are typically revised downwards taking into
account among others sustainability constraints (e.g. Fuss et al. (2018)
suggests a potential of 0.5–5 Gt <inline-formula><mml:math id="M635" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> per year in 2050).</p>
      <p id="d1e13097">We investigate the efficacy of our BECCS scenario by increasing the
productivity of BECCS (using a scale factor <inline-formula><mml:math id="M636" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula>). From comparison with
observed bioenergy crop yields, we argue that the scale factor could be
between 1 and 3. We highlight how using this range of <inline-formula><mml:math id="M637" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> provides
characterisation of an additional source of uncertainty on the land-based
mitigation potential. In our optimised land-based mitigation scenario, which
maximises the land carbon uptake (Sect. 2.4.2, Eq. 13), the increased carbon removed by BECCS is often accompanied by a decrease in the carbon uptake from the “natural” vegetation that it replaces (as discussed in Sect. 3.3 and shown in Fig. 12). This concern is equivalent to the statement in Harper et al. (2018) that the “use of BECCS in regions where bioenergy crops replace ecosystems with high carbon contents could easily result in negative carbon balance”. Hence, the particularly novel feature of our paper is that our optimal approach accounts explicitly for that trade-off, only suggesting BECCS where there is a net gain. For boreal forest regions there is a preference for avoided deforestation, whereas in tropical forest regions both AR and avoided deforestation offer significant potential. From a carbon sequestration perspective, growing bioenergy crops for BECCS is only preferable where it replaces existing agricultural land. BECCS has particular potential if productivities and power production efficiencies are towards the upper limit of expected photosynthetic capability, whilst noting the strong water demand of such crops requires consideration in the context of a growing population.</p>
      <p id="d1e13115">Stabilising the climate primarily requires urgent action to mitigate <inline-formula><mml:math id="M638" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. However, we estimate that <inline-formula><mml:math id="M639" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation may offset up to 188–212 Gt C of anthropogenic <inline-formula><mml:math id="M640" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, while still meeting the same global-warming targets. This offset is a direct consequence of the reduced radiative forcing by methane and of carbon cycle gains. These balances and related flexibilities have the potential to make the Paris targets more achievable. Our range of additional <inline-formula><mml:math id="M641" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions broadly applies to both the 1.5 and 2 <inline-formula><mml:math id="M642" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming targets, as the mitigation potential of the <inline-formula><mml:math id="M643" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scenario is similar for the two temperature pathways considered. Although there are differences in the
precise methane emission scenarios used, our mitigation potential is similar
to that given in Collins et al. (2018). That paper presents values of 155 or
235 Gt C for offsetting <inline-formula><mml:math id="M644" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation from a high to a medium or from a high- to a low-emission scenario, respectively. Our value, and those of
Collins et al. (2018), can be compared to the increase of 130 Gt C in the
carbon budget between a no and a stringent <inline-formula><mml:math id="M645" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission mitigation
scenario estimated by Rogelj et al. (2015). More recently, Harmsen et al. (2020) have also investigated the mitigation potential of methane, although their results are expressed in terms of changes in radiative forcing and temperature, rather than carbon budgets. An advantage of our analysis
remains the inclusion of climate response to altered radiative forcing, enabling understanding in terms of actual <inline-formula><mml:math id="M646" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. We conclude that <inline-formula><mml:math id="M647" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mitigation would be effective globally as a contribution to constraining global warming, and especially so for the major
<inline-formula><mml:math id="M648" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emitting regions of India, USA, and China.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e13243">The IMOGEN-JULES source code used in this work is available from the JULES code repository (<uri>https://code.metoffice.gov.uk/trac/jules/browser/main/branches/dev/annaharper/r7971_vn4.8_1P5_DEGREES_CCS</uri> last access: 2 May 2021, at JULES revision 14477, user account required). The rose suites used for the specific IMOGEN-JULES runs are u-as624, u-at010, u-at011, u-at013, u-av005, u-av007, u-av008, u-av009, u-ax327, u-ax332, u-ax455, u-ax456, u-ax521, u-ax523, u-ax524, u-ax525, u-bh009, u-bh023, u-bh046, u-bh081, u-bh084, u-bh098, u-bh103, and u-bh105. These can be found at <uri>https://code.metoffice.gov.uk/trac/roses-u/</uri> (last access: 2 May 2021) (user account required).</p>

      <p id="d1e13252">The IMOGEN-JULES source code is also available as a zipped tarball from
<ext-link xlink:href="https://doi.org/10.5281/zenodo.4620139" ext-link-type="DOI">10.5281/zenodo.4620139</ext-link> (Hayman et al., 2021a), as are the Python scripts used for post-processing. Data and output used with the scripts are available from <ext-link xlink:href="https://doi.org/10.5281/zenodo.4625977" ext-link-type="DOI">10.5281/zenodo.4625977</ext-link> (Hayman et al., 2021b). The pattern-scaling and energy balance parameters used to emulate the CMIP5 models are available at <ext-link xlink:href="https://doi.org/10.5285/343885af-0f5e-4062-88e1-a9e612f77779" ext-link-type="DOI">10.5285/343885af-0f5e-4062-88e1-a9e612f77779</ext-link> (Comyn-Platt et al., 2018b). We will look to make other relevant outputs from the IMOGEN-JULES runs available through a publicly accessible data repository.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e13264">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/esd-12-513-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/esd-12-513-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e13273">GDH, CH, ECP, ABH, PMC, TP, JIH, WC, JL, and SEC designed the IMOGEN runs. All authors contributed to the interpretation of the results
and to the writing of or review of the paper. CH provided IMOGEN parameters calibrated against the CMIP5 database, and ECP and CH led the development of the inverse IMOGEN model version. The following specific contributions were also made: (a) EB, SEC, and NG provided code and expertise on permafrost, soil carbon, and wetland methane modelling, respectively; (b) ABH and TP provided land use change data; (c) WC and CW provided ozone ancillary data; (d) DPVV and JCD provided IMAGE scenario data on land use, anthropogenic methane emissions, and water consumption and withdrawals; and (e) SS provided expertise on the ozone damage effects.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e13279">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><?pagebreak page541?><p id="d1e13285">The work was undertaken as part of the UK Natural Environment Research
Council's programme “Understanding the Pathways to and Impacts of a
1.5 <inline-formula><mml:math id="M649" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C Rise in Global Temperature” through grants
CLIFFTOP (Garry D. Hayman, Edward Comyn-Platt, Sarah E. Chadburn), MOC1.5 (William Collins, Christopher Webber, Jason Lowe, Chris Huntingford, Peter M. Cox, Stephen Sitch) and CLUES (Peter M. Cox, Anna B. Harper, Tom Powell, Joanna I. House). We also
acknowledge the support for (a) Garry D. Hayman and Edward Comyn-Platt by NERC The Global Methane Budget, MOYA; (b) Anna B. Harper through her EPSRC Fellowship “Negative Emissions and the Food-Energy-Water Nexus”; (c) Anna B. Harper by NERC FAB GGR, (d) William Collins from the Research Council of Norway; (e) Chris Huntingford from CEH National Capability Funding; (f) Eleanor Burke from the Joint UK BEIS/Defra Met Office Hadley Centre Climate Programme; (g) Eleanor Burke, Detlef P. van Vuuren, and Jonathan C. Doelman from CRESCENDO; and (h) Nicola Gedney from the Newton Fund through the Met Office Climate Science for Service Partnership Brazil (CSSP Brazil). All authors acknowledge the CMIP5 database and its outputs from Earth System Models developed by climate research centres across the world. We also acknowledge Lars Kutzbach and David Holl, who kindly provided the methane emission data for the Samoylov Island field site. We are grateful to the editor and the two anonymous reviewers, whose comments have helped to improve the clarity of the paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e13299">This research has been supported by the Natural Environment Research Council (grant nos. NE/P015050/1, NE/P014909/1, NE/P014941/1, NE/N015746/1, and NE/P019951/1), the Engineering and Physical Sciences Research Council (grant no. EP/N030141/1), the Research Council of Norway (grant no. 235548), the Joint UK BEIS/Defra Met Office Hadley Centre Climate Programme (grant no. GA01101), and the European Commission (grant no. CRESCENDO (641816)).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e13305">This paper was edited by Steven Smith and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Regional variation in the effectiveness of methane-based and land-based climate mitigation options</article-title-html>
<abstract-html><p>Scenarios avoiding global warming greater than 1.5 or 2&thinsp;°C, as stipulated in the Paris Agreement, may require the combined mitigation of anthropogenic greenhouse gas emissions alongside enhancing negative emissions through approaches such as afforestation–reforestation (AR) and biomass energy with carbon capture and storage (BECCS). We use the JULES land surface model coupled to an inverted form of the IMOGEN climate emulator to investigate mitigation scenarios that achieve the 1.5 or 2&thinsp;°C warming targets of the Paris Agreement. Specifically, within this IMOGEN-JULES framework, we focus on and characterise the global and regional effectiveness of land-based (BECCS and/or AR) and anthropogenic methane (CH<sub>4</sub>) emission mitigation, separately and in combination, on the anthropogenic fossil fuel carbon dioxide (CO<sub>2</sub>) emission budgets (AFFEBs) to 2100. We use consistent data and socio-economic assumptions from the IMAGE integrated assessment model for the second Shared Socioeconomic Pathway (SSP2). The analysis includes the effects of the methane and carbon–climate feedbacks from wetlands and permafrost thaw, which we have shown previously to be significant constraints on the AFFEBs.</p><p>Globally, mitigation of anthropogenic CH<sub>4</sub> emissions has large impacts on the anthropogenic fossil fuel emission budgets, potentially offsetting (i.e. allowing extra) carbon dioxide emissions of 188–212&thinsp;Gt&thinsp;C. This is because of (a) the reduction in the direct and indirect radiative forcing of methane in response to the lower emissions and hence atmospheric concentration of methane and (b) carbon-cycle changes leading to increased uptake by the land and ocean by CO<sub>2</sub>-based fertilisation. Methane mitigation is beneficial everywhere, particularly for the major CH<sub>4</sub>-emitting regions of India, the USA, and China. Land-based mitigation has the potential to offset 51–100&thinsp;Gt&thinsp;C globally, the large range reflecting assumptions and uncertainties associated with BECCS. The ranges for CH<sub>4</sub> reduction and BECCS implementation are valid for both the 1.5 and 2&thinsp;°C warming targets. That is the mitigation potential of the CH<sub>4</sub> and of the land-based scenarios is similar for regardless of which of the final stabilised warming levels society aims for. Further, both the effectiveness and the preferred land management strategy (i.e. AR or BECCS) have strong regional dependencies. Additional analysis shows extensive BECCS could adversely affect water security for several regions. Although the primary requirement remains mitigation of fossil fuel emissions, our results highlight the potential for the mitigation of CH<sub>4</sub> emissions to make the Paris climate targets more achievable.</p></abstract-html>
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