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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-15-1055-2024</article-id><title-group><article-title>Fire weather compromises forestation-reliant climate mitigation pathways</article-title><alt-title>Fire weather compromises forestation-reliant climate mitigation pathways</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Jäger</surname><given-names>Felix</given-names></name>
          <email>felix.jaeger@env.ethz.ch</email>
        <ext-link>https://orcid.org/0000-0001-6986-0701</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schwaab</surname><given-names>Jonas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Quilcaille</surname><given-names>Yann</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1474-0144</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Windisch</surname><given-names>Michael</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3085-9265</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Doelman</surname><given-names>Jonathan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Frank</surname><given-names>Stefan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5702-8547</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Gusti</surname><given-names>Mykola</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Havlik</surname><given-names>Petr</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Humpenöder</surname><given-names>Florian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Lessa Derci Augustynczik</surname><given-names>Andrey</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Müller</surname><given-names>Christoph</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9491-3550</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Narayan</surname><given-names>Kanishka Balu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8483-6216</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff7">
          <name><surname>Padrón</surname><given-names>Ryan Sebastian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7857-2549</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Popp</surname><given-names>Alexander</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>van Vuuren</surname><given-names>Detlef</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0398-2831</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Wögerer</surname><given-names>Michael</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Seneviratne</surname><given-names>Sonia Isabelle</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9528-2917</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute for Atmospheric and Climate Science, ETH Zurich, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Potsdam Institute for Climate Impact Research, Member of the Leibniz Association, Potsdam, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>PBL Netherlands Environmental Assessment Agency, The Hague, the Netherlands</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Copernicus Institute for Sustainable Development, Utrecht University, Utrecht, the Netherlands</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Integrated Biosphere Futures Research Group, International Institute for Applied Systems Analysis, Laxenburg, Austria</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Joint Global Change Research Institute, Pacific Northwest National Laboratory, College Park, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Hydrological Forecasts, Swiss Federal Institute for Forest, Snow and Landscape Research WSL, Birmensdorf, Switzerland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Felix Jäger (felix.jaeger@env.ethz.ch)</corresp></author-notes><pub-date><day>15</day><month>August</month><year>2024</year></pub-date>
      
      <volume>15</volume>
      <issue>4</issue>
      <fpage>1055</fpage><lpage>1071</lpage>
      <history>
        <date date-type="received"><day>4</day><month>January</month><year>2024</year></date>
           <date date-type="accepted"><day>2</day><month>July</month><year>2024</year></date>
           <date date-type="rev-recd"><day>26</day><month>April</month><year>2024</year></date>
           <date date-type="rev-request"><day>19</day><month>January</month><year>2024</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2024 Felix Jäger et al.</copyright-statement>
        <copyright-year>2024</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/esd-15-1055-2024.html">This article is available from https://esd.copernicus.org/articles/esd-15-1055-2024.html</self-uri><self-uri xlink:href="https://esd.copernicus.org/articles/esd-15-1055-2024.pdf">The full text article is available as a PDF file from https://esd.copernicus.org/articles/esd-15-1055-2024.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e273">Forestation can contribute to climate change mitigation. However, increasing frequency and intensity of climate extremes are posed to have profound impact on forests and consequently on the mitigation potential of forestation efforts. In this perspective, we critically assess forestation-reliant climate mitigation scenarios from five different integrated assessment models (IAMs) by showcasing the spatially explicit exposure of forests to fire weather and the simulated increase in global annual burned area. We provide a detailed description of the feedback from climate change to forest carbon uptake in IAMs. Few IAMs are currently accounting for feedback mechanisms like loss from fire disturbance. Consequently, many forestation areas proposed by IAM scenarios will be exposed to fire-promoting weather conditions and without costly prevention measures might be object to frequent burning. We conclude that the actual climate mitigation portfolio in IAM scenarios is subject to substantial uncertainty and that the risk of overly optimistic estimates of negative emission potential of forestation should be avoided. As a way forward we propose how to integrate more detailed climate information when modeling climate mitigation pathways heavily relying on forestation.</p>
  </abstract>
    
<funding-group>
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<funding-source>H2020 European Research Council</funding-source>
<award-id>101003687</award-id>
<award-id>101056939</award-id>
<award-id>101056875</award-id>
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<funding-source>European Research Council</funding-source>
<award-id>964013</award-id>
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<award-group id="gs3">
<funding-source>Staatssekretariat für Bildung, Forschung und Innovation</funding-source>
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</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e285">Negative emissions, i.e., carbon uptake from the atmosphere, are essential for ambitious climate change mitigation <xref ref-type="bibr" rid="bib1.bibx78" id="paren.1"/>. Integrated assessment models (IAMs) are commonly used to derive emission scenarios compatible with maximum warming levels of 1.5 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> or well below 2.0 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of global warming relative to pre-industrial levels <xref ref-type="bibr" rid="bib1.bibx48" id="paren.2"/>, which were set as targets as part of the Paris Agreement <xref ref-type="bibr" rid="bib1.bibx77" id="paren.3"/>. These simulations, which provide forcing datasets for greenhouse gas (GHG) emissions and land use in the Coupled Model Intercomparison Project Phase 6 (CMIP6; see Fig. <xref ref-type="fig" rid="F2"/>), include a substantial amount of carbon removal from the atmosphere for reaching net-zero GHG emissions within the next 20 to 40 years. In addition to bioenergy with carbon capture and storage (BECCS; <xref ref-type="bibr" rid="bib1.bibx80" id="altparen.4"/>), the assessed IAMs project afforestation and reforestation (forestation, A/R) over an area ranging from 2.6 to 14 Mkm<sup>2</sup> (Figs. <xref ref-type="fig" rid="F1"/> and S9 in the Supplement, <xref ref-type="bibr" rid="bib1.bibx65" id="altparen.5"/>) as a nature-based carbon storage strategy. This considerable spread across an order of magnitude is also present in terms of carbon sequestration potential (approximately 0.5 to 12 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> by 2100) (<xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx27" id="altparen.6"/>). Sources of uncertainty lie in both future socioeconomic dynamics (<xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx8" id="altparen.7"/>) and vegetation responses to disturbances including those that are induced or exacerbated by climate extremes <xref ref-type="bibr" rid="bib1.bibx3" id="paren.8"/>.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e372">Projected  and observed (red) global forest area. Six projections under SSP1-2.6 are shown for LUH2 and five different IAMs. Two observational datasets from satellite imagery (<xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx9" id="altparen.9"/>) and data from forest resource assessments (FRAs) of the FAO (<xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx22" id="altparen.10"/>) are shown for the past and present.</p></caption>
        <graphic xlink:href="https://esd.copernicus.org/articles/15/1055/2024/esd-15-1055-2024-f01.png"/>

      </fig>

      <p id="d2e387">Fire as a prominent hazard for carbon accumulation in forests is influenced by the increasing intensity and frequency of climate extremes <xref ref-type="bibr" rid="bib1.bibx72" id="paren.11"/>. Gross fire emissions amounted to 1.8 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on average between 2003 and 2022 and reached 1.9–2.3 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2023 <xref ref-type="bibr" rid="bib1.bibx25" id="paren.12"/>. Although only some of these emissions are from climate-change driven fires and a post-fire vegetation recovery sink is unaccounted for, it is important to note the relevance of fire for the land carbon sink. For example, anomalously high fire emissions, such as those from recent boreal forest fires, could contribute to large biomes ceasing to act as carbon sinks <xref ref-type="bibr" rid="bib1.bibx20" id="paren.13"/>. Generally, wildfire with increasing frequency and intensity is reducing biomass and soil carbon stocks (<xref ref-type="bibr" rid="bib1.bibx83" id="altparen.14"/>; <xref ref-type="bibr" rid="bib1.bibx64" id="altparen.15"/>), limiting long-term carbon uptake <xref ref-type="bibr" rid="bib1.bibx54" id="paren.16"/>. Furthermore, fire in some places is a key factor determining whether forests can exist or not <xref ref-type="bibr" rid="bib1.bibx59" id="paren.17"/> and can substantially reduce tree and forest cover <xref ref-type="bibr" rid="bib1.bibx56" id="paren.18"/>. Intensifying fire weather as observed (<xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx1 bib1.bibx53" id="altparen.19"/>) and projected (<xref ref-type="bibr" rid="bib1.bibx73" id="altparen.20"/>;<xref ref-type="bibr" rid="bib1.bibx16" id="altparen.21"/>) hence puts increasing pressure on forests and their associated carbon storage. Thus, depending on the region, future fire regimes might significantly influence whether long-term global-scale carbon capturing by A/R is feasible in the projected ranges with the projected costs and deployment speed.</p>
      <p id="d2e466">A debate about the conditions and feasibility of large-scale A/R under projected future climate conditions is therefore needed. Comparing maps of fire weather change and forestation potential, <xref ref-type="bibr" rid="bib1.bibx38" id="text.22"/> have recently  brought forward their concern regarding increasing fire disturbance in forest restoration projects in Europe. Meanwhile, the science of drivers of future fire risk for forest carbon sinks, e.g., <xref ref-type="bibr" rid="bib1.bibx14" id="text.23"/> identifying high water vapor pressure deficit as a major threat, goes on. Arguing against major concerns, <xref ref-type="bibr" rid="bib1.bibx29" id="text.24"/> presented a land use allocation assessment that calculates die-back rates for various biomes as a function of changes in global mean temperature without considering local extreme conditions. Their findings suggest that wildfires may not compromise forest-based climate strategies. In this context, it is particularly concerning that the negative influence of increasing climate extremes such as fires on the mitigation potential of forests is currently under-represented in IAMs. A typical channel for such natural hazards to be included in IAMs is via adjusted long-term carbon stock potential of  certain land use types. Since IAMs are broadly used for emission projections to inform climate model experiments as well as international climate policies, it is essential to better understand and quantify uncertainties in their modeling process and assumptions about the potential for A/R.</p>
      <p id="d2e478">In this perspective, we therefore assess the plausibility of forestation-reliant climate mitigation scenarios as used within CMIP6. We do this by analyzing whether the effectiveness of forestation in the current spatially explicit representation of IAM projections could be compromised by fire disturbance based on available scenarios from a range of state-of-the-art IAMs. First, we present an overview of the amounts of forestation as projected by IAMs and how sensitive they are to climate change effects (Sect. <xref ref-type="sec" rid="Ch1.S2"/>). In Sect. <xref ref-type="sec" rid="Ch1.S3"/>, we introduce a climatological measure for atmospheric pressure on forests to burn, called a seasonally extreme fire weather index, and analyze its behavior in Earth system models (ESMs) during both historical and future periods for comparison with climate data. By combining these datasets, we evaluate the extent and locations of increased exposure of global forests to fire weather, discerning the relative contributions of exposure change (forest expansion) and hazard change (fire intensification due to climate change) to the rise in forest fire danger (Sect. <xref ref-type="sec" rid="Ch1.S4"/>). To put this into perspective, we provide an overview of the modeling landscape on how spatially explicit information on forest disturbances and climate change is treated in state-of-the-art land use allocation in IAMs (Sect. <xref ref-type="sec" rid="Ch1.S5"/>). Finally, we discuss how the representation of climate impacts on forestation can be improved to arrive at more substantiated climate mitigation scenarios (Sect. <xref ref-type="sec" rid="Ch1.S6"/>).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Large-scale forestation in ambitious climate mitigation scenarios</title>
      <p id="d2e499">IAMs project global forest area to be vastly expanded under SSP1-1.9 and SSP1-2.6 (Fig. <xref ref-type="fig" rid="F1"/>), which are roughly compatible with maximum warming levels of 1.5 and 2 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of global mean surface temperature above pre-industrial levels, respectively (building on Shared Socioeconomic Pathway 1, SSP1; <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx48" id="altparen.25"/>). To arrive at this result, we assembled several land use projections to analyze A/R scenarios including the Land Use Harmonization (LUH) dataset 2 and five IAM datasets under SSP1-2.6. A detailed description of the setup used in these models (Table <xref ref-type="table" rid="TC1"/>) and a discussion of inter-model differences in forest cover are given in Appendix <xref ref-type="sec" rid="App1.Ch1.S3"/>.</p>
      <p id="d2e521">The global forest area in 2020 in the scenarios is comparable to observational datasets and forest resource assessments (with deviations at the local scale; see also <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.26"/>). The forest area in SSP1-2.6 grows from 39 to 44 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>  in 2020 to 42 to 55 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in 2090. This is an expansion of 3 to 10 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> corresponding to 7 to 22 %. Similar but even stronger trends are found in the SSP1-1.9 projections, especially for IMAGE and AIM (see Fig. S9).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e562">Information flow of forest-related data in the typical model chain from IAMs to ESMs for scenarios used in CMIP6. Black arrows indicate established data exchange, and red arrows indicate the data exchange proposed here in the context of forest fire risk. Dashed arrows indicate partly established links in some of the IAMs. While some IAMs include basic information about the overall fire regime encoded in input data about vegetation potential or impacts by mean climate, most are lacking representation of geographically explicit disturbance regimes changing over time.</p></caption>
        <graphic xlink:href="https://esd.copernicus.org/articles/15/1055/2024/esd-15-1055-2024-f02.png"/>

      </fig>

      <p id="d2e572">The forestation pathways considered here are simulated by state-of-the-art IAMs, which provide the scenarios underlying the CMIP6 simulations within the model chain towards Earth system models (ESMs) (emission and land use change pathways; see Fig. <xref ref-type="fig" rid="F2"/>). In the typical setup, input data on potential vegetation is used in the land use models within socioeconomic models to simulate land use change within a certain climate mitigation scenario. This land use change is harmonized with datasets on historical land use and land cover change by LUH for the generation of one forcing dataset fed to the land models in ESMs. Along this chain, IAM outputs also influence the main future climate simulations assessed in the 6th Assessment Report of the IPCC <xref ref-type="bibr" rid="bib1.bibx49" id="paren.27"/>. In most of the assessed frameworks however, forest-related feedback from climate to land use and vegetation potential modeling is lacking or only implemented partially (red and dashed arrows in Fig. <xref ref-type="fig" rid="F2"/>).</p>
      <p id="d2e582">Accounting for future climate changes – particularly climate extremes – is likely to significantly alter the carbon sequestration potential and the employed forestation in scenarios produced by these IAMs. In a comparison of land use projections with and without all implemented climate impacts, the global forest expansion of MESSAGE-GLOBIOM and REMIND-MAgPIE showed very large sensitivity of 25 % and up to 50 %, respectively (see Fig. S7 in the Supplement). Consequently, both climate-impacted grid-cell-level and globally aggregated carbon sequestration potential estimates matter for the overall mitigation portfolio in ambitious climate change mitigation scenarios.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e587">Fire weather intensifying over time in the historical simulation and in five future scenarios. The focus of this study is SSP1-2.6 (dark blue, roughly 2 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> global warming scenario). The global forest-area-weighted mean FWI, <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mtext>,obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, is computed over forest area from satellite-observed tree cover (ESA-CCI land cover; <xref ref-type="bibr" rid="bib1.bibx35" id="altparen.28"/>) in 2020 (inset next to legend). Around the lines representing the multi-model median the shading indicates typical year-to-year variability (multi-model mean running 10-year standard deviation) of the global aggregate value in the historical and the SSP1-2.6 scenario. Maps show the distribution of the 10-year mean as well as the multi-model median <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">SA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over land in 2020 <bold>(a)</bold> and its changes under SSP1-2.6 until 2050 <bold>(b)</bold>. Stippling in <bold>(a)</bold> rules out regions of low (<inline-formula><mml:math id="M14" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 5 %) forest cover. Hatching in <bold>(b)</bold> indicates areas where fewer than 8 ESMs out of 10 agree on the sign of change, while the global rise in <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mtext>,obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is found robustly across ESMs.</p></caption>
        <graphic xlink:href="https://esd.copernicus.org/articles/15/1055/2024/esd-15-1055-2024-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Forest fire danger under intensifying fire weather</title>
      <p id="d2e684">Here, we use annual values of maximum seasonally averaged (SA) Canadian Fire Weather Index (FWI) (<xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx67" id="altparen.29"/>), <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">SA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, to analyze the fire hazard for forests in IAM projections. FWI combines atmospheric conditions (heat, air dryness, lacking precipitation and wind speed; <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx84" id="altparen.30"/>), which are a crucial driver of forest fire activity. FWI is one of the most widely used indicators for fire weather, which shows strong links to actual fire impacts (<xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx1 bib1.bibx53" id="altparen.31"/>; see also Sect. S1 in the Supplement). In this study we mainly use FWI because fire weather simulations by ESMs relying only on atmospheric conditions are significantly more robust than ESM fire impact simulations due to limited performance of fire modules within CMIP6 models and dependence on land cover (<xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx28 bib1.bibx74" id="altparen.32"/>).</p>
      <p id="d2e710">To represent global forest fire danger, we compute the weighted average of <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">SA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over the global forest area, i.e., <inline-formula><mml:math id="M18" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> (see Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/> for formula). This global indicator proves to be highly correlated with global burned forest area share. Also locally, FWI is spatially consistently in positive interannual correlation (weighted mean across forest areas <inline-formula><mml:math id="M19" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M20" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.3) with burned area (<xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx5 bib1.bibx30 bib1.bibx53" id="altparen.33"/>; see Fig. S1 in the Supplement and Sect. S1).</p>
      <p id="d2e758">Compared to early industrial times, <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mtext>,obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, computed over constant tree cover of 2020 from the satellite product ESA-CCI-LC <xref ref-type="bibr" rid="bib1.bibx35" id="paren.34"/>, has substantially risen (Fig. <xref ref-type="fig" rid="F3"/>, historical). For the period 2020 until 2050 under SSP1-2.6 the available CMIP6 models project a robust increase in fire weather intensity in most land areas, including all of South America, parts of North America, northern and southern Africa, western Eurasia, and Australia (Fig. <xref ref-type="fig" rid="F3"/>b).  Under higher warming scenarios, the danger increase would be substantially stronger (Fig. <xref ref-type="fig" rid="F3"/>; see also <xref ref-type="bibr" rid="bib1.bibx2" id="altparen.35"/>). From 2050 until the end of the century, the five climate scenarios from SSP1-1.9 (slight decline in global danger indicator <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mtext>,obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) to SSP5-8.5 (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mtext>,obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> increase doubles again) diverge substantially, mainly driven by heating.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e831"><bold>(a)</bold> <inline-formula><mml:math id="M24" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> for all forests in 2020 (wide boxes) and for A/R areas only in 2050 and 2090 under SSP1-2.6 (upper small boxes). The distribution is given by fire weather projections from 22 Earth system models. For each IAM, the marker points to the multi-ESM mean, whereas the lines indicate the minimum as well as the 25th, 50th, and 75th percentile and the maximum. <bold>(b)</bold> <inline-formula><mml:math id="M25" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <bold>(d)</bold> <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>pot.burned</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> change relative to 2020 under SSP1-2.6 for different forest projections. The shading indicates 1 standard deviation from the ESM uncertainty of FWI to burned area change. <bold>(c, e)</bold> Contributions to the relative change in <inline-formula><mml:math id="M27" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>pot.burned</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> until 2050 and 2090 from forestation (top) and from fire (weather) change (bottom) are shown for the six datasets. For readability and interpretability, the range of relative change is cropped to 90 % in <bold>(b–e)</bold>. A version with the full range including information on the share of annual burned forest area in 2020 is given in Fig. S3 in the Supplement. For the corresponding information on <inline-formula><mml:math id="M29" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> in SSP1-1.9, see Fig. S10 in the Supplement.</p></caption>
        <graphic xlink:href="https://esd.copernicus.org/articles/15/1055/2024/esd-15-1055-2024-f04.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Forestation drives forest exposure to extreme fire hazard</title>
      <p id="d2e941">Over the course of the century, the projected forested regions in IAMs are increasingly under danger from fire weather (relative increase in <inline-formula><mml:math id="M30" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> of up to more than 30 %; Fig. <xref ref-type="fig" rid="F4"/>b).</p>
      <p id="d2e960">There are two reasons for this finding, which is robust against inter-ESM differences in fire weather (Fig. <xref ref-type="fig" rid="F4"/>) and restrictions to areas where FWI is strongly correlated with fire impacts (Fig. S13 in the Supplement and Sect. S1 in the Supplement): first, fire weather intensifies through heating and drying trends over forest areas that already existed in 2020 as a consequence of climate change (hazard as a driver). Second, and more important, most of the increase in danger under SSP1-2.6 is driven by A/R in regions of already high and/or intensifying fire weather (exposure as a driver; see narrow boxes in Fig. <xref ref-type="fig" rid="F4"/>a that are higher than broad boxes and darker than lighter bars in Figs. <xref ref-type="fig" rid="F4"/>c; see also S5 in the Supplement for spatially explicit contributions, S10 for the scenario SSP1-19, and Sect. S2 in the Supplement for explanatory text and formula).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e971">Absolute change in danger (<inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M32" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">FWI</mml:mi></mml:mrow><mml:mo>⋅</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), the product of the fire weather index (hazard) and forest grid cell share (exposure) under SSP1-2.6 in 2090 with respect to 2020 in forestation areas (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M35" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5 %) for LUH2 and five different IAMs. <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>A/R</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the overall forestation area since 2020 and <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>rel</mml:mtext></mml:msub><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> is the relative change in global forest-weighted mean FWI of each model.</p></caption>
        <graphic xlink:href="https://esd.copernicus.org/articles/15/1055/2024/esd-15-1055-2024-f05.png"/>

      </fig>

      <p id="d2e1067">This can be attributed to very strong land use policies in SSP1 <xref ref-type="bibr" rid="bib1.bibx65" id="paren.36"/>, i.e., carbon pricing strongly rewarding expected carbon sequestration for A/R. We found <inline-formula><mml:math id="M38" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> to increase over the course of the century in both scenarios, SSP1-1.9 and SSP1-2.6, for all datasets. Moreover, <inline-formula><mml:math id="M39" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> in projected future afforestation areas is more than 1.3 times the <inline-formula><mml:math id="M40" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> for the 2020 forested area (Fig. <xref ref-type="fig" rid="F4"/>a). Thus, the exposure to intense fire weather in the regions where A/R is projected to occur drives the overall increase in <inline-formula><mml:math id="M41" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>.</p>
      <p id="d2e1132">This increase in danger, mainly driven by exposure increases, is likely to propagate to fire impacts. Burned forest area is posed to rise under this pressure (according to our analysis by 10 %–80 %, depending on IAM and ESM projection) (Fig. <xref ref-type="fig" rid="F4"/>d and e; see Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/> and the Supplement for details). Typically, about half of this change can be attributed to A/R in areas of large or increasing annual burned area.</p>
      <p id="d2e1139">We illustrate A/R regions particularly endangered in the models with the absolute change in the product of hazard and exposure, FWI times <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over time (Fig. <xref ref-type="fig" rid="F5"/>). The rise in danger is driven by a regionally varying intersection of up-sloping <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">SA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (hazard-driven) and forest cover share (exposure-driven; see Fig. S5 for spatially explicit signal decomposition and Fig. S8 in the Supplement for the full signal in 2050).</p>
      <p id="d2e1166">If areas for forestation were excluded when located in regions of extreme fire regimes (<inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">FWI</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M45" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 47 in 2090, 95th percentile of historical conditions), the overall forestation would be reduced by 4 % (IMAGE) to 20 % (AIM) in 2090, clearly illustrating the potential impact of fire danger on forestation allocation.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1187">Climate feedbacks into land use decisions in five IAMs for their most recent versions. The versions used in CMIP6 did not include any climate feedbacks (except IMAGE).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <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:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">AIM</oasis:entry>
         <oasis:entry colname="col3">GCAM-DEMETER</oasis:entry>
         <oasis:entry colname="col4">IMAGE</oasis:entry>
         <oasis:entry colname="col5">MESSAGE-GLOBIOM</oasis:entry>
         <oasis:entry colname="col6">REMIND-MAgPIE</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Atmospheric <inline-formula><mml:math id="M51" 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> rise  on forest allocation</oasis:entry>
         <oasis:entry colname="col2">No</oasis:entry>
         <oasis:entry colname="col3">Indirectly<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">Indirectly<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">Yes<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Atmospheric <inline-formula><mml:math id="M55" 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> rise  on forest carbon density</oasis:entry>
         <oasis:entry colname="col2">No<sup>c</sup></oasis:entry>
         <oasis:entry colname="col3">No</oasis:entry>
         <oasis:entry colname="col4">Yes</oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">Offline<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Change of mean climate on forest allocation</oasis:entry>
         <oasis:entry colname="col2">No</oasis:entry>
         <oasis:entry colname="col3">Indirectly<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">Indirectly<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">Yes<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Change of mean climate on forest carbon density</oasis:entry>
         <oasis:entry colname="col2">No<sup>c</sup></oasis:entry>
         <oasis:entry colname="col3">No</oasis:entry>
         <oasis:entry colname="col4">Yes</oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">Offline<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Fire disturbances on forest allocation</oasis:entry>
         <oasis:entry colname="col2">No</oasis:entry>
         <oasis:entry colname="col3">No</oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">Yes<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fire disturbances on forest carbon density</oasis:entry>
         <oasis:entry colname="col2">No</oasis:entry>
         <oasis:entry colname="col3">No</oasis:entry>
         <oasis:entry colname="col4">No<sup>d</sup></oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">Offline<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Extreme climate conditions on forests</oasis:entry>
         <oasis:entry colname="col2">No</oasis:entry>
         <oasis:entry colname="col3">No</oasis:entry>
         <oasis:entry colname="col4">Partly<sup>e</sup></oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">Partly<sup>e,b</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1190"><sup>a</sup> Through impacts on  productivity and water availability in agriculture. <sup>b</sup> Through impacts on the potential carbon density, which are provided by an offline simulation using the land model LPJmL. <sup>c</sup> AIM in principle includes this feedback. For the simulations assessed here it was not used for consistency within the multi-IAM mitigation scenario assessment. <sup>d</sup> In existing forests yes, in forest plantations used for afforestation no. <sup>e</sup> Through extreme temperature and water conditions limiting productivity and enhancing background mortality. Boreal trees can die from heat stress.</p></table-wrap-foot></table-wrap>

      <p id="d2e1586">Generally, a higher FWI regime favors less dense forests and subsequently less effective A/R for negative emissions (<xref ref-type="bibr" rid="bib1.bibx54" id="altparen.37"/>; <xref ref-type="bibr" rid="bib1.bibx56" id="altparen.38"/>). Although forests exposed to high FWI are not guaranteed to burn more intensely or more often in every location, a long-term and large-scale average response in this direction is very likely, particularly in the absence of fire prevention measures (IAMs do not include the costs for these to date). Such fire prevention may be effective in the medium term <xref ref-type="bibr" rid="bib1.bibx86" id="paren.39"/> but is often unsustainable on longer timescales (<xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx6" id="altparen.40"/>).</p>
      <p id="d2e1601">Fire weather and burned area used here are examples to highlight this deficiency. Beyond fire, we expect impacts from other extreme events (e.g., droughts, heatwaves, and heavy precipitation) to also play a role in land use decisions (<xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx52" id="altparen.41"/>; <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx76 bib1.bibx32" id="altparen.42"/>). Therefore, we highlight the need to implement more climate impacts into IAMs, which helps to avoid an overestimation of the negative emission potential of A/R.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Climate impacts on forests in IAMs to date</title>
      <p id="d2e1619">None of the modeling frameworks to date explicitly include a broad range of impacts from climate extremes on vegetation. This is troublesome given that increases in climate extremes are already expected in all regions at 1.5 or 2 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of global warming <xref ref-type="bibr" rid="bib1.bibx72" id="paren.43"/>. Here, we provide a short overview of whether the analyzed scenarios are produced considering climate effects (feedbacks) for A/R decisions in the associated IAM  versions (see Table <xref ref-type="table" rid="T1"/>, and for more details, please refer to Appendix <xref ref-type="sec" rid="App1.Ch1.S3"/>).</p>
      <p id="d2e1639">A main entry point for climate feedbacks into IAMs is to modify carbon densities because the total amount of carbon stored in forests in IAM projections is typically estimated using forest carbon density (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M70" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and forest fractional coverage (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M73" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (<xref ref-type="bibr" rid="bib1.bibx41" id="altparen.44"/>; see external vegetation data in Fig. <xref ref-type="fig" rid="F2"/>). Typically, the carbon content of forests is modeled to monotonously grow towards the determined maximum estimate given by vegetation models, which might include upward or downward impacts from productivity and disturbance shifts under climate change. For long-term and large-scale averaged results, this provides an approximation relevant for impacts on A/R allocation for carbon uptake. The long-term increase in the carbon stored through A/R is counted as negative emission in IAMs. As a low-cost negative emission option in ambitious mitigation scenarios, A/R allows for residual hard-to-avoid GHG emissions compatible with the target of net-zero emissions. The more areas  available for low-cost A/R potential, the larger the potential for residual GHG emissions compatible with a low warming target (<xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx18 bib1.bibx24" id="altparen.45"/>).</p>
      <p id="d2e1732">Among the models analyzed here, only IMAGE (existing forests, not in A/R areas) and REMIND-MAgPIE (all forests) account for carbon losses from changing climate conditions including fire in their estimates of forest carbon density. IMAGE and REMIND-MAgPIE include information on climate impacts from the vegetation model LPJmL (<xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx43" id="altparen.46"/>), which accounts for day-to-day variability but does not include natural disturbances like fire on this timescale (<xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx7" id="altparen.47"/>). In other IAMs, such processes are not included. Therefore, these models are expected to produce overly optimistic estimates of A/R effectiveness. Except IMAGE 3.0, the IAM providing the SSP1 simulations (<xref ref-type="bibr" rid="bib1.bibx75 bib1.bibx61" id="altparen.48"/>), the model versions used for projections under CMIP6 and LUH2 did not include any climate feedbacks.</p>
      <p id="d2e1745">The forestation allocation in REMIND-MAgPIE among the other models shows comparably high consistency and flexibility, which is also reflected by its performance to distribute large-scale A/R to comparably mild fire conditions (compare <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>A/R</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>rel</mml:mtext></mml:msub><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> in Fig. <xref ref-type="fig" rid="F5"/> and <inline-formula><mml:math id="M77" display="inline"><mml:mi mathvariant="normal">Ω</mml:mi></mml:math></inline-formula> in Table S1 in the Supplement and Sect. S4 in the Supplement). The model shows a comparably small increase in <inline-formula><mml:math id="M78" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>, partially owing to incorporated climate information, but also due to the incorporation of national tree planting pledges and a high baseline <inline-formula><mml:math id="M79" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>(2020). Only MESSAGE-GLOBIOM has even smaller <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>rel</mml:mtext></mml:msub><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, likely stemming from the much smaller A/R volume in that projection.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Ways forward for climate-related forest disturbances in IAMs</title>
      <p id="d2e1845">The majority of models used in the scenario framework under CMIP6 are at the beginning of including more climate change impact information into their modeling schemes. In addition to IMAGE and REMIND-MAgPIE, GCAM-DEMETER (<xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx13" id="altparen.49"/>) and MESSAGE-GLOBIOM <xref ref-type="bibr" rid="bib1.bibx24" id="paren.50"/> already include some scheme for climate impacts on water availability and productivity in agriculture, but not in forestry (see Table <xref ref-type="table" rid="T1"/> and Figs. S7 and S12 in the Supplement as well as Sect. S8 in the Supplement). In the MESSAGE-GLOBIOM framework, there are efforts underway to make the forestry model, G4M, climate-informed. Those models that already include detailed climate information typically find increases in carbon density due to carbon fertilization from increased <inline-formula><mml:math id="M81" 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> levels in the atmosphere. Even though detailed, these estimates might be overly optimistic because they exclude other disturbances leading to carbon losses from explicit modeling, which enables accounting for regimes shifts, disturbance interaction, and changes over time.</p>
      <p id="d2e1867">So how can information on disturbances of the carbon pools in forests be propagated into globally modeled land use and land management? Only one of the assessed models covers the impact of changing carbon sequestration potential on land use decisions. REMIND-MAgPIE assumes a 30-year horizon of foresight of expected future carbon stocks for the distribution of land use including afforestation. Following this example, we argue for a consistent and physically meaningful integration of climate impacts through the effect on carbon density of vegetation. This will also support the tracking of contributions to uncertainty along the model cycle from vegetation to land use to climate and back to vegetation (Fig. <xref ref-type="fig" rid="F2"/>; see the Supplement for an example of climate model uncertainty implementation). Sensitivity studies using explicit climate impact representations in IAMs, e.g., modeling carbon density evolution interactively in REMIND-MAgPIE, including probabilistic estimates of climate impacts on land use, would help quantitatively evaluate the sensitivity and reliability of IAM results across spatial and temporal scales. Additionally internalizing the expected increase in costs in fire prevention measures and changes to ecosystem services from, e.g., biodiversity, could help to make forestation projections more comprehensive (<xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx33 bib1.bibx66" id="altparen.51"/>).</p>
      <p id="d2e1875">Our work highlights the need for improvements in the difficult task of estimating forestation potential in multi-sectoral assessments (on non-technical challenges; see, e.g., <xref ref-type="bibr" rid="bib1.bibx39" id="altparen.52"/>) and proposes ways to address this issue. We showed the forestation potential under SSP1-2.6 modeled in the presented IAM simulations to be severely compromised by fire risk. Including such risk into the assessment will likely diminish the role of forestation in the mitigation portfolio. Given the closing window of opportunity for limiting global warming to 1.5 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, these results demonstrate that a climate mitigation strategy minimizing the risks of temperature overshoot must be centered on rapid reduction of carbon emissions.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Forest-area-weighted mean fire weather index (<inline-formula><mml:math id="M83" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>)</title>
      <p id="d2e1917">To get a global indicator for forest exposure to fire weather, we calculate a mean FWI weighted by forest fractional area. For fire weather we use an annual indicator of fire season intensity, namely the yearly maximum of the 90 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> running average daily Canadian FWI <xref ref-type="bibr" rid="bib1.bibx67" id="paren.53"/>. While this index of the seasonal fire weather intensity best fits our long-term and global-scale goals, our analysis is not sensitive to the use of other measures for fire season intensity or length aggregated from daily FWI data (see, e.g., <xref ref-type="bibr" rid="bib1.bibx67" id="altparen.54"/>, for such indicators). We are not interested in single extreme days but in the smooth trends of extreme fire hazard from changing atmospheric conditions on a heated planet. This is why the time series of annual values is smoothed with a running 10-year mean such that the 10-yearly maps of forest exposure from IAMs can be matched with climatic conditions representing changes on the same timescale. Additionally, FWI data were regridded to the 0.5° <inline-formula><mml:math id="M85" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5° mesh the IAM forest cover data were assembled on. The FWI is computed from temperature, precipitation, relative humidity, and surface wind projections of Earth system models (ESMs) participating in CMIP6 and providing the necessary variables. For our analysis we either used 10 models that had produced simulations not only for SSP1-2.6, SSP2-4.5, SSP3-7.0, and SSP5-8.5, but also for SSP1-1.9, a Tier 2 numerical experiment in CMIP6 (Fig. <xref ref-type="fig" rid="F3"/>), or we used all 22 models providing the SSP1-2.6 simulation (Figs. <xref ref-type="fig" rid="F4"/> and <xref ref-type="fig" rid="F5"/>). The 10 models providing SSP1-1.9 are CanESM5 (50), EC-Earth3 (1), FGOALS-g3 (1), GFDL-ESM4 (1), IPSL-CM6A-LR (6), MIROC-ES2L (10), MIROC6 (3), MPI-ESM1-2-LR (30), MRI-ESM2-0 (5), and UKESM1-0-LL (5), with the respective number of ensemble members in parentheses. For the main analysis of danger evolution under SSP1-2.6, we used ACCESS-CM2 (5), ACCESS-ESM1-5 (40), CMCC-CM2-SR5 (1), CMCC-ESM2 (1), CanESM5 (50), EC-Earth3 (6), FGOALS-g3 (3), GFDL-ESM4 (1), HadGEM3-GC31-LL (1), HadGEM3-GC31-MM (1), INM-CM4-8 (1), INM-CM5-0 (1), IPSL-CM6A-LR (6), KACE-1-0-G (3), MIROC-ES2L (10), MIROC6 (50), MPI-ESM1-2-HR (2), MPI-ESM1-2-LR (30), MRI-ESM2-0 (5), NorESM2-MM (1), TaiESM1 (1), and UKESM1-0-LL (13) to avoid a bias in the model selection. The model mean and median were computed over ensemble mean values per model. We did not account for model similarities with further weighting among ESMs. However, the qualitative findings about the relative change in danger from forest expansion and fire weather intensification of the order of 10 % are not sensitive to model ensemble design choices.</p>
      <p id="d2e1948">The mean FWI weighted by forest fractional area <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is then computed by global integration of the product of <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">SA</mml:mi></mml:msub></mml:mrow><mml:mo>∈</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">∞</mml:mi><mml:mo>[</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub><mml:mo>∈</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>:

          <disp-formula id="App1.Ch1.S1.E1" content-type="numbered"><label>A1</label><mml:math id="M89" display="block"><mml:mrow><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mo>∬</mml:mo><mml:mtext>global</mml:mtext></mml:msub><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">SA</mml:mi></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">dA</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:msub><mml:mo>∬</mml:mo><mml:mtext>global</mml:mtext></mml:msub><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">dA</mml:mi></mml:mrow></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">dA</mml:mi></mml:mrow></mml:math></inline-formula> is the areal increment, a product of the length increments in the zonal (<inline-formula><mml:math id="M91" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>) and meridional (<inline-formula><mml:math id="M92" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>) direction.</p>
      <p id="d2e2139">The value of global weighted mean FWI, <inline-formula><mml:math id="M93" display="inline"><mml:mover accent="true"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">FWI</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>, was tested to be good predictor of global burned area share. The Pearson correlation is above 0.75 for five out of six IAMs. The value for MESSAGE-GLOBIOM still showing a correlation of 0.56 could arise from generally low levels of burned area. This suggests that long-term and large-scale signals of global forest-area-weighted mean FWI change propagate to burned area change (Fig. <xref ref-type="fig" rid="F4"/>d and e). While this holds for global values, local vulnerability, which is not included in this work,  is expected to significantly modulate the combination of hazard and exposure we present here. For example, <xref ref-type="bibr" rid="bib1.bibx87" id="text.55"/> find different responses of North American and Siberian boreal forests to climatic water deficits and extreme temperature, suggesting different vulnerabilities.</p>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Potentially burned forest area</title>
      <p id="d2e2169">To get an estimate of the order of magnitude of change in burned area (BA) from A/R and climate change under SSP1-26, we use the output of land models within CMIP6 ESMs, <italic>BurntFractionAll</italic>, which is the monthly grid cell share burned in fire. Assuming that an area already burned in 1 year cannot burn again in the same one, we treat these monthly values as additive to reach annual values for six different ESMs, namely CESM2 (3), CESM2-WACCM (1), CMCC-CM2-SR5 (1), CMCC-ESM2 (1), CNRM-ESM2-1 (5), and EC-Earth3-Veg (2), with the respective number of ensemble members in parentheses. While this approach can give an indication of the order of magnitude of relative change, because these models reproduce overall patterns and natural trends, the performance of CMIP6 models concerning BA must be critically reflected upon (<xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx74" id="altparen.56"/>). Here, we included all models providing <italic>BurntFractionAll</italic> and ESM tree fraction, <italic>treeFrac</italic>. Furthermore, we assume grasslands and other natural land as given by the IAM land cover and land use datasets to burn before forest is affected (threshold burning in Fig. S2 in the Supplement).</p>
      <p id="d2e2184">Note that <italic>BurntFractionAll</italic> from the CMIP6 land models relies on different spatial patterns and grid cell shares of forest cover from the IAM projection. Hence, a transfer of this value and its application to IAM land cover and land use can only serve as a first-order estimate and cannot replace a work-intense detailed vegetation modeling exercise with the IAM's land cover projection as input, which is left for future work and out of scope for this perspective.  While such choices of method (proportional vs. threshold burning, which other land cover types to burn before forest, projecting <italic>BurntFractionAll</italic> directly on IAM land cover) seem to affect our results quantitatively, the overall finding of significantly up-sloping global areas of burned forest from A/R leading to increased risk (10 % <inline-formula><mml:math id="M94" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>rel</mml:mtext></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mtext>pot.burned</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M96" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 100 % between 2020 and 2090) is robustly maintained under our sensitivity assessments.</p>
</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>Forest area in land cover and land use datasets in the past and present</title>
      <p id="d2e2231">This section gives an overview of the configurations and specifications of the models considered in this study (see Table <xref ref-type="table" rid="TC1"/>), which can help us to better understand the land use and land cover projections (see also Fig. S6 in the Supplement).</p>

<table-wrap id="TC1" specific-use="star" orientation="landscape"><label>Table C1</label><caption><p id="d2e2239">Configurations of land use  models used in IAMs for the datasets included in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="40mm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="40mm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="40mm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="40mm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="40mm"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="40mm"/>
     <oasis:colspec colnum="7" colname="col7" align="justify" colwidth="40mm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Dataset names according tofully coupled IAMs</oasis:entry>
         <oasis:entry colname="col2">LUH2</oasis:entry>
         <oasis:entry colname="col3">AIM</oasis:entry>
         <oasis:entry colname="col4">GCAM- DEMETER</oasis:entry>
         <oasis:entry colname="col5">IMAGE</oasis:entry>
         <oasis:entry colname="col6">MESSAGE-GLOBIOM</oasis:entry>
         <oasis:entry colname="col7">REMIND-MAgPIE</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Version and name of IAM,land use component, andvegetation input datasets</oasis:entry>
         <oasis:entry colname="col2">GLM2 (building on data fromIMAGE 3.0); gridded potential aboveground biomass is determined by the Miami-LU model;land is potential forest when <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M99" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2<inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</oasis:entry>
         <oasis:entry colname="col3">AIM-SSP/RCP Ver2018; potential carbon density is input asconstant per agro-ecologicalzone.</oasis:entry>
         <oasis:entry colname="col4">GCAM v4.3.chen DEMETERv1.chen; potential carbon density is input as constant perplant functional type.</oasis:entry>
         <oasis:entry colname="col5">IMAGE 3.2 including fullycoupled LPJmL 4</oasis:entry>
         <oasis:entry colname="col6">GLOBIOM-G4M stand-alone(building on GHG priceand bioenergy demand fromMESSAGE-GLOBIOM; carbon density: G4M; crop andpasture yields: EPIC</oasis:entry>
         <oasis:entry colname="col7">MAgPIE 4.4 (building ondata from REMIND 2.1 fullycoupled with MAgPIE 4.2;potential carbon maps fromLPJmL 4 for natural vegetationand LPJmL 5.2 for crops andpasture. Nationally determinedcontributions in land use areincluded.)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Existing publication</oasis:entry>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx47" id="text.57"/></oasis:entry>
         <oasis:entry colname="col3"><xref ref-type="bibr" rid="bib1.bibx26" id="text.58"/></oasis:entry>
         <oasis:entry colname="col4"><xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx13" id="text.59"/></oasis:entry>
         <oasis:entry colname="col5"><xref ref-type="bibr" rid="bib1.bibx19" id="text.60"/>; <xref ref-type="bibr" rid="bib1.bibx70" id="text.61"/></oasis:entry>
         <oasis:entry colname="col6"><xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx69" id="text.62"/></oasis:entry>
         <oasis:entry colname="col7"><xref ref-type="bibr" rid="bib1.bibx43" id="text.63"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Land use model time step (<inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">10</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">5 until 2060, 10 from 2060onward</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Output time step (<inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">10</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">5 until 2060, 10 from 2060onward</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Initialization (<inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">2015 (for future land use)</oasis:entry>
         <oasis:entry colname="col3">1960</oasis:entry>
         <oasis:entry colname="col4">1700 (GCAM),1992 (DEMETER)</oasis:entry>
         <oasis:entry colname="col5">1970</oasis:entry>
         <oasis:entry colname="col6">2000</oasis:entry>
         <oasis:entry colname="col7">1985</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration until (<inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">2005</oasis:entry>
         <oasis:entry colname="col4">2005</oasis:entry>
         <oasis:entry colname="col5">2015</oasis:entry>
         <oasis:entry colname="col6">2015</oasis:entry>
         <oasis:entry colname="col7">2015</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Simulation end (<inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">2100</oasis:entry>
         <oasis:entry colname="col3">2100</oasis:entry>
         <oasis:entry colname="col4">2100</oasis:entry>
         <oasis:entry colname="col5">2100</oasis:entry>
         <oasis:entry colname="col6">2100</oasis:entry>
         <oasis:entry colname="col7">2100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Land use model spatialresolution</oasis:entry>
         <oasis:entry colname="col2">2.0° <inline-formula><mml:math id="M106" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.0° and 0.25° <inline-formula><mml:math id="M107" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25°</oasis:entry>
         <oasis:entry colname="col3">17 regions</oasis:entry>
         <oasis:entry colname="col4">384 (region–basin) units</oasis:entry>
         <oasis:entry colname="col5">5<sup>′</sup> <inline-formula><mml:math id="M109" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5<sup>′</sup></oasis:entry>
         <oasis:entry colname="col6">37 regions, 2° <inline-formula><mml:math id="M111" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2° supply units</oasis:entry>
         <oasis:entry colname="col7">12 regions, 2000 units</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Downscaled output spatialresolution</oasis:entry>
         <oasis:entry colname="col2">0.25° <inline-formula><mml:math id="M112" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25°</oasis:entry>
         <oasis:entry colname="col3">0.25° <inline-formula><mml:math id="M113" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25°</oasis:entry>
         <oasis:entry colname="col4">0.05° <inline-formula><mml:math id="M114" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.05°</oasis:entry>
         <oasis:entry colname="col5">5<sup>′</sup> <inline-formula><mml:math id="M116" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> x5<sup>′</sup></oasis:entry>
         <oasis:entry colname="col6">0.25° <inline-formula><mml:math id="M118" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25°</oasis:entry>
         <oasis:entry colname="col7">0.5° <inline-formula><mml:math id="M119" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5°</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Number of land use/landcover classes</oasis:entry>
         <oasis:entry colname="col2">12 <inline-formula><mml:math id="M120" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 1<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">33</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">11</oasis:entry>
         <oasis:entry colname="col7">7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Number of forest classes</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">8</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">4</oasis:entry>
         <oasis:entry colname="col7">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Special class for managedforestation</oasis:entry>
         <oasis:entry colname="col2">Yes</oasis:entry>
         <oasis:entry colname="col3">Yes</oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">Yes</oasis:entry>
         <oasis:entry colname="col6">Yes</oasis:entry>
         <oasis:entry colname="col7">Yes</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Accounts for rotation andforest age</oasis:entry>
         <oasis:entry colname="col2">No</oasis:entry>
         <oasis:entry colname="col3">Yes</oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">Yes</oasis:entry>
         <oasis:entry colname="col6">Yes</oasis:entry>
         <oasis:entry colname="col7">Yes</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Includes climate impacts onrotation and forest age</oasis:entry>
         <oasis:entry colname="col2">No</oasis:entry>
         <oasis:entry colname="col3">No</oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">No</oasis:entry>
         <oasis:entry colname="col7">No</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2242"><sup>∗</sup> LUH2 treats added tree cover separated from other forest classes to fit forest expansion in the IMAGE SSP1-2.6 and SSP1-1.9 land use simulation.</p></table-wrap-foot></table-wrap>

      <p id="d2e2936">In most IAMs the amount of A/R results from land use decisions based on cost minimization (<xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx37 bib1.bibx18" id="altparen.64"/>).  The presented ensemble of large-scale afforestation scenarios has shared assumptions encoded in the Shared Socioeconomic Pathway 1 (SSP1, <xref ref-type="bibr" rid="bib1.bibx79" id="altparen.65"/>) with the climate mitigation policy options SSP1-2.6 and SSP1-1.9. Most importantly, these assumptions include a global price on carbon emissions and emission budgets in the mitigation scenarios that are roughly compatible with warming levels of 2.0 and 1.5 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Still, there are many differences in model setup and in the underlying assumptions remaining. The value of a growing forest carbon stock is implemented using a carbon price, which, depending on the model, is determined either in the energy sector model <xref ref-type="bibr" rid="bib1.bibx65" id="paren.66"/> or from a comprehensive simulation of energy sector and land use (<xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx85" id="altparen.67"/>). This price is designed to keep carbon emissions compatible with a certain carbon budget and a climate target (here with 1.5 or 2 <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of global warming) across economic sectors. Changing land use from pasture to managed forest, for example, is rewarded with a price corresponding to the additional amount of carbon stored or expected to be stored. The equivalent is included in the computation as a cost in the case of deforestation and the corresponding drop in carbon density. Consequently, the level of the carbon price drives modeled A/R, especially where potential revenues from forestry aside from this price are comparable with or lower than those from other land uses. Ultimately, global estimates of A/R volume are sensitive to its local effectiveness to store carbon and to deliver multiple forest products (<xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx18 bib1.bibx24" id="altparen.68"/>).</p>
      <p id="d2e2976">In the model chain from IAMs to ESMs (Fig. <xref ref-type="fig" rid="F2"/>), LUH was developed to harmonize historical land information and the land use outputs of IAMs for use within ESMs <xref ref-type="bibr" rid="bib1.bibx45" id="paren.69"/>. The second generation of LUH under CMIP6, LUH2, provides land use and land cover change (LULCC) information in one classification for all scenarios, which was computed by different models with different land use and land cover classifications <xref ref-type="bibr" rid="bib1.bibx47" id="paren.70"/>. A harmonized dataset fit to the original land use datasets was produced using the Global Land Model. While globally aggregated LULCC (e.g., global pasture or forest area change) was conserved, the spatial patterns of forest were not. This leads to LUH2 projections, also assessed here, showing different forest exposures to climate impacts such as fire weather than the IAM projections.</p>
      <p id="d2e2987">IMAGE and REMIND-MAgPIE include information on climate impacts from the vegetation model LPJmL (<xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx43" id="altparen.71"/>). LPJmL computes in daily time steps and hence accounts for day-to-day variability. This allows the modeling of vegetation response to climate on a sub-annual timescale via altered productivity and background mortality. Natural disturbances, such as fire and heat stress for boreal trees, are nevertheless modeled in annual time steps (<xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx7" id="altparen.72"/>). Although this has not been assessed for all circumstances of post-disturbance vegetation dynamics, LPJmL in principle has the mechanisms implemented to represent some climate-specific vegetation response to disturbance <xref ref-type="bibr" rid="bib1.bibx62" id="paren.73"/>. In the IMAGE framework, LPJmL in an online mode informs the land use module annually, e.g., about carbon density using daily values emulated from annual climate provided by MAGICC, a simple climate model <xref ref-type="bibr" rid="bib1.bibx18" id="paren.74"/>. Fire impacts on carbon density are included in natural forest dynamics but are excluded in forest plantations used for A/R. REMIND-MAgPIE is informed by crop and vegetation data modeled offline by LPJmL <xref ref-type="bibr" rid="bib1.bibx42" id="paren.75"/>, which is operated in daily time steps with daily climate data <xref ref-type="bibr" rid="bib1.bibx70" id="paren.76"/>. The limitation for the representation of vegetation impacts of climate extremes on sub-annual timescale therefore lies in the climate variables used and the physical processes represented in LPJmL. REMIND-MAgPIE offers an option to model fire emissions and heat stress of boreal forests but currently no additional explicit disturbance processes which lead to carbon losses. Typically, extreme conditions significantly lower the modeled productivity and enhance background mortality <xref ref-type="bibr" rid="bib1.bibx70" id="paren.77"/>. With a corresponding calibration <xref ref-type="bibr" rid="bib1.bibx23" id="paren.78"/> LPJmL allows for an implicit representation of disturbances within the regimes provided by the calibration datasets. REMIND-MAgPIE uses annual potential carbon density, the maximum attainable carbon density of forests, which is modulated by changing climate in the model LPJmL and determined by aggregating from daily to annual values.</p>
      <p id="d2e3015">In GCAM-DEMETER and AIM the potential carbon stocks are represented more simply and are not even spatially explicit; they are assumed to be constant within forest classes and/or economic regions.</p>
      <p id="d2e3018">The assessed versions of MESSAGE-GLOBIOM and GCAM-DEMETER only include climate impacts on croplands, not on forests. In MESSAGE-GLOBIOM this leads to significant shifts from forest to cropland in the comparison of a climate impact (in this model mainly <inline-formula><mml:math id="M124" 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> fertilization and mean climate; see Table <xref ref-type="table" rid="T1"/>) to a no-climate-impact scenario. This shows that differential treatment of land types can lead to imbalances in land use changes, in this case leading to less forestation on former cropland under a simulation including climate impacts on agriculture. We refer to this effect as “indirect impacts on forest allocation” in Table <xref ref-type="table" rid="T1"/>. Note that even this indirect tendency of less forestation under climate change, likely induced by productivity-enhancing climate impacts on cropland, is significantly stronger than variations generated by the six different climate models forcing the climate impacts (see Figs. S7, S12 and Sect. S8).</p>
      <p id="d2e3036">Overall, IAMs and LUH2 have different initial land cover and land use inventories, starting dates, time steps, modeling procedures, spatial resolutions, and classification schemes, leading to differences in both past and present land use (<xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx8" id="altparen.79"/>). For example, as the only IAM in this ensemble, REMIND-MAgPIE includes nationally determined contributions (NDCs) in land use in the model. For the present study the gridded forest cover data were aggregated to the finest common resolution in space and time: 0.5° <inline-formula><mml:math id="M125" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5° and 10 years. The available forest classes were aggregated into one. The expansion of forest area in these afforestation scenarios is dominated by managed forestation in the datasets which provide such separate classes.</p>
      <p id="d2e3049">Some forest management options beyond A/R might be at risk in a more fire-prone future climate. Four out of six IAM datasets account for rotations and forest age, but none of them have any mechanism of climate impacts on management in forestry.</p>
      <p id="d2e3053">We compare present-day values of forest area in IAM projections with the forest area in observational datasets to assess the plausibility of past and present land cover and land use. It should be noted though that there is also substantial disagreement between observational datasets themselves. For example, satellite imagery cannot distinguish all kinds of land cover and different classification schemes give different global tree cover areas (<xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx9" id="altparen.80"/>, Fig. S6). National inventories combined in FAO forest resource assessments <xref ref-type="bibr" rid="bib1.bibx22" id="paren.81"/> give slightly higher values. Locally, i.e., at grid cell scale (<inline-formula><mml:math id="M126" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 0.5°), the representation of forest cover in IAM datasets compared to satellite products is moderate to weak owing to the substantial differences in ecosystem and landscape classification.  Overall, the range of global forest areas in the IAM datasets for the present day is compatible with observational datasets while showing a much larger spread. In 2020, the first common date of the model outputs, the standard deviation of global forest area among the datasets amounts to 3.2 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. Under SSP1-2.6 it grows to 6.2 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> over the course of the century.</p>
</app>

<app id="App1.Ch1.S4">
  <label>Appendix D</label><title>Limitations</title>
      <p id="d2e3099">Having mentioned the limitations of our analysis underlying the perspective along the main text, we summarize them here for a concise overview and argue why our perspective holds under these limitations.</p>
      <p id="d2e3102">Our focus on land use projections by models that provided land inputs to CMIP6 limits our analysis to these few most prominent models. Our analysis is limited by the choice of climatic variables. Fire weather is a measure for fire hazard together with exposure, not fully capturing fire risk (in terms of, e.g., carbon emissions) or covering the entire spectrum of environmental stress. Using burned area from fire models within ESMs bridges the gap to fire impact but is heavily reliant on the assumptions around impact transfer from ESM to IAM land cover. More importantly, the performance of fire impacts from ESMs is very limited (<xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx74" id="altparen.82"/>). However, as fire models in state-of-the-art ESMs tend to underestimate fire impacts, our assessment remains a conservative one; hence, this limitation does not affect the stringency of our main line of thought, namely the argument for more precise input and use of climate-related forest impacts in IAMs.</p>
      <p id="d2e3108">Additionally, we take feedbacks of A/R on climate and changing vulnerabilities into account only to a limited extent. For example, temperature and precipitation are expected to change in tropical regions with changed forest cover <xref ref-type="bibr" rid="bib1.bibx57" id="paren.83"/>. While we do use the climate projections under SSP1-2.6, which include land cover change (and A/R) according to the LUH2 dataset, these do not match the A/R patterns of the IAMs exactly. However, as our analysis of the LUH2 forest cover does not show significantly lower danger from land-cover-change-induced climate changes, we expect this to be a minor issue. Importantly, the identified signal of increasing danger, mainly driven by exposure increase, is extraordinarily strong and emphasizes the need to consider more climate information in land use projections. This is particularly relevant given the range of other regional increases in climate extremes, such as heatwaves, droughts, and heavy precipitation events, that are projected even at 1.5°C or 2°C of global warming <xref ref-type="bibr" rid="bib1.bibx72" id="paren.84"/>.</p>
</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e3121">Land cover satellite products from ESA-CCI and CGLS are available at <uri>http://maps.elie.ucl.ac.be/CCI/viewer/download.php</uri> <xref ref-type="bibr" rid="bib1.bibx35" id="paren.85"/> and <uri>https://land.copernicus.eu/global/products/lc</uri> <xref ref-type="bibr" rid="bib1.bibx9" id="paren.86"/>, respectively. Land cover data from GCAM-DEMETER are published in <xref ref-type="bibr" rid="bib1.bibx12" id="text.87"/> under <ext-link xlink:href="https://doi.org/10.25584/data.2020-07.1357/1644253" ext-link-type="DOI">10.25584/data.2020-07.1357/1644253</ext-link> <xref ref-type="bibr" rid="bib1.bibx10" id="paren.88"/>. AIM land use data are available under <ext-link xlink:href="https://doi.org/10.18959/20180403.001" ext-link-type="DOI">10.18959/20180403.001</ext-link> <xref ref-type="bibr" rid="bib1.bibx60" id="paren.89"/>. Harmonized land use datasets from LUH2 are accessible under <uri>https://luh.umd.edu/data.shtml</uri> <xref ref-type="bibr" rid="bib1.bibx46" id="paren.90"/>. Land use data from IMAGE, MESSAGEix-GLOBIOM, and REMIND-MAgPIE are available in the harmonized multi-IAM land use dataset (<ext-link xlink:href="https://doi.org/10.5281/zenodo.12627389" ext-link-type="DOI">10.5281/zenodo.12627389</ext-link>, <xref ref-type="bibr" rid="bib1.bibx50" id="altparen.91"/>). Fire weather index data from CMIP6 in <xref ref-type="bibr" rid="bib1.bibx67" id="text.92"/> are available at <uri>http://hdl.handle.net/20.500.11850/583391</uri> <xref ref-type="bibr" rid="bib1.bibx68" id="paren.93"/>. Data from CMIP6 are available at <uri>https://esgf-node.llnl.gov/search/cmip6/</uri>, last access: 12 May 2022. The experiments and variables used can be found with a search query using the relevant experiment ID (historical, ssp119, ssp126) and variable (<italic>treeFrac</italic>, <italic>BurntFractionAll</italic>).</p>

      <p id="d2e3184">The computer code used for the analysis of the forest-weighted mean fire weather index and a corresponding manual on how to apply this code are openly available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.11068957" ext-link-type="DOI">10.5281/zenodo.11068957</ext-link> <xref ref-type="bibr" rid="bib1.bibx51" id="paren.94"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e3193">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/esd-15-1055-2024-supplement" xlink:title="pdf">https://doi.org/10.5194/esd-15-1055-2024-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3202">This research is part of the PhD work of FJ under the supervision of SIS and JS at ETH Zurich. FJ, JS, YQ, and SIS conceptualized the perspective and analysis. FJ performed the data analysis, produced the figures, and drafted this manuscript. MWi, FH, JD, SF, MWö, and MG helped with land use and land cover data provision of the different integrated assessment models. YQ calculated the FWI from CMIP6 climate data. JS, YQ, SIS, MWi, JD, SF, PH, FH, ALDA, CM, KBN, RSP, AP, and DvV contributed to the interpretation of the analysis and the overall perspective and improved the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3208">At least one of the (co-)authors is a member of the editorial board of <italic>Earth System Dynamics</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e3217">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e3223">We acknowledge the Potsdam Institute for Climate Impact Research, the PBL Netherlands Environmental Assessment Agency, the International Institute for Applied Systems Analysis, and the Joint Global Change Research Institute for the production and provision of the land use and land cover data. Data on burned area and tree fractional coverage produced under CMIP6 are provided by the WCRP (World Climate Research Program) and ESFG (Earth System Grid Federation). To improve the linguistic expression in some passages within this manuscript, ChatGPT was used on an earlier version of the paper. We acknowledge the development and provision of the Python packages and wrappers maplotlib <xref ref-type="bibr" rid="bib1.bibx44" id="paren.95"/>, numpy <xref ref-type="bibr" rid="bib1.bibx36" id="paren.96"/>, proplot <xref ref-type="bibr" rid="bib1.bibx17" id="paren.97"/>, scipy <xref ref-type="bibr" rid="bib1.bibx81" id="paren.98"/>, and xarray <xref ref-type="bibr" rid="bib1.bibx40" id="paren.99"/>. We thank Louise Parsons Chini, Shinichiro Fujimori, George Hurtt, Andreia Ribeiro, and Marshall Wise as well as Zhengyang Lin and one anonymous reviewer for very helpful comments.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3244">This work was supported by the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No. 101003687 (PROVIDE) and by the European Union's Horizon Europe research and innovation programme under Grant Agreement Nos. 101056939 (RESCUE) and 101056875 (ForestNavigator), both including funding by the Swiss State Secretariat for Education, Research and Innovation (SERI), and by the European Research Council (ERC) for the ERC Proof Of Concept Grant under Grant agreement No. 964013 (MESMER-X).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3250">This paper was edited by Anping Chen and reviewed by Zhengyang Lin and one anonymous referee.</p>
  </notes><ref-list>
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