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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="other"><?xmltex \bartext{ESD Ideas}?>
  <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-14-1165-2023</article-id><title-group><article-title>ESD Ideas: Arctic amplification's contribution to breaches of the Paris Agreement</article-title><alt-title>ESD Ideas: Arctic Amplification's Contribution to Breaches of the Paris Agreement</alt-title>
      </title-group><?xmltex \runningtitle{ESD Ideas: Arctic Amplification's Contribution to Breaches of the Paris Agreement}?><?xmltex \runningauthor{A.~Duffey et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Duffey</surname><given-names>Alistair</given-names></name>
          <email>alistair.duffey.21@ucl.ac.uk</email>
        <ext-link>https://orcid.org/0000-0003-3852-2624</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Mallett</surname><given-names>Robbie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1069-6529</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Irvine</surname><given-names>Peter J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5469-1543</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tsamados</surname><given-names>Michel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff4">
          <name><surname>Stroeve</surname><given-names>Julienne</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Centre for Polar Observation and Modelling, Earth Sciences, UCL, London, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Centre for Earth Observation Science, University of Manitoba, Winnipeg, Canada</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Earth Sciences, UCL, London, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>National Snow and Ice Data Center, Cooperative Institute for Research in Environmental Sciences, University of Colorado Boulder, Boulder, Colorado, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Alistair Duffey (alistair.duffey.21@ucl.ac.uk)</corresp></author-notes><pub-date><day>14</day><month>November</month><year>2023</year></pub-date>
      
      <volume>14</volume>
      <issue>6</issue>
      <fpage>1165</fpage><lpage>1169</lpage>
      <history>
        <date date-type="received"><day>22</day><month>April</month><year>2023</year></date>
           <date date-type="rev-request"><day>9</day><month>May</month><year>2023</year></date>
           <date date-type="rev-recd"><day>27</day><month>September</month><year>2023</year></date>
           <date date-type="accepted"><day>28</day><month>September</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://esd.copernicus.org/articles/.html">This article is available from https://esd.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://esd.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://esd.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e138">The Arctic is warming at almost 4 times the global average rate. Here we reframe this amplified Arctic warming in terms of global climate ambition to show that without Arctic amplification, the world would breach the Paris Agreement's 1.5  and 2 <inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C limits 5 and 8 years later, respectively. We also find the Arctic to be a disproportionate contributor to uncertainty in the timing of breaches. The outsized influence of Arctic warming on global climate targets highlights the need for better modelling and monitoring of Arctic change.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Natural Environment Research Council</funding-source>
<award-id>NE/S007229/1</award-id>
</award-group>
<award-group id="gs2">
<funding-source>European Space Agency</funding-source>
<award-id>ESA/AO/1-9132/17/NL/MP</award-id>
<award-id>ESA/AO/1-10061/19/I-EF</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      <p id="d1e152">The phenomenon of Arctic amplification is causing the Arctic (north of 66<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) to warm at almost 4 times the global average rate <xref ref-type="bibr" rid="bib1.bibx15" id="paren.1"/>. However, this statistic is of limited direct relevance to policy-makers because it is not framed in terms of the central metric of climate policy: global mean temperature change. Here we use the latest generation of climate model outputs to reframe Arctic amplification in terms of the direct contribution of faster temperature rises in the Arctic to global warming. Specifically, we characterise the influence of Arctic amplification on the timing of breaches of the 1.5  and 2 <inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming levels identified in the Paris Agreement, with the aim of providing a more intuitive quantification of the significance of amplified Arctic warming. Arctic amplification is strongest in the winter months and is driven by positive feedbacks involving the vertical structure of the lower atmosphere, changing cloud cover, temperature-dependent increases in thermal radiation to space, and the retreat of sea ice and snow cover <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx3" id="paren.2"/>. The 2.7 <inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C Arctic warming since the pre-industrial has contributed around 10 % of Earth's globally averaged warming to date <xref ref-type="bibr" rid="bib1.bibx17" id="paren.3"/>, despite the region occupying only 4 % of the Earth's surface.</p>
      <p id="d1e192">To characterise future global and Arctic warming, we analyse surface air temperature data  from the Coupled Model Intercomparison Project Phase 6 <xref ref-type="bibr" rid="bib1.bibx2" id="paren.4"><named-content content-type="pre">CMIP6;</named-content></xref>. We focus here on future temperature change under the Shared Socioeconomic Pathway 2-4.5 (SSP2-4.5) but also report results for a low- (SSP1-2.6) and a high-emissions (SSP3-7.0) pathway. The SSP2-4.5 pathway is a plausible intermediate scenario of future greenhouse gas emissions, which would likely meet neither of the Paris temperature goals <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx5" id="paren.5"/>. Our analysis compares the year in which global average temperatures breach the two Paris targets in this dataset with the year in which those targets are breached in a modified version of the dataset which excludes the area north of 66<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. Crucially, the latter case is equivalent to an alternative world in which the Arctic warms at the global mean rate. The difference between the two timings therefore represents the time contribution of Arctic amplification to breaches of the Paris Agreement's temperature thresholds. Our definition of Arctic amplification differs from some analyses <xref ref-type="bibr" rid="bib1.bibx12" id="paren.6"><named-content content-type="pre">e.g.</named-content></xref> which use the tropics as the baseline region, rather than the world outside the Arctic.</p>
      <?pagebreak page1166?><p id="d1e217">Our method does not simulate a world without Arctic amplification. Such a world would be radically different to ours since the phenomenon is in large part driven by the Arctic being colder than the rest of the planet <xref ref-type="bibr" rid="bib1.bibx12" id="paren.7"/>. Neither do we quantify the impacts of Arctic change on temperature rise outside the region, such as via the albedo feedback from loss of snow and ice <xref ref-type="bibr" rid="bib1.bibx11" id="paren.8"/>, greenhouse gas emissions from permafrost thaw <xref ref-type="bibr" rid="bib1.bibx7" id="paren.9"/>, and altered atmospheric and oceanic circulation <xref ref-type="bibr" rid="bib1.bibx6" id="paren.10"/>. Instead, we quantify the rate of local Arctic warming in terms of its direct contribution to global mean temperature change. We also note that our analysis does not imply any change from current estimates in the expected timing of breaching Paris limits, which refer explicitly and only to global mean temperature <xref ref-type="bibr" rid="bib1.bibx20" id="paren.11"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e238">Effect of Arctic amplification on temperature rises above the Paris limits in CMIP6 models. <bold>(a)</bold> Observed and projected global mean temperature anomalies relative to the pre-industrial with and without Arctic amplification. The CMIP6 projections are constructed from the first ensemble member of each model's SSP2-4.5 scenario, scaled to the observed present-day anomaly. All temperatures anomalies are 20-year, centred, rolling means. Central lines indicate multi-model means; shaded regions represent the spread between the 10 % and 90 % intervals. <bold>(b)</bold> Number of years later when each CMIP6 model breaches the 1.5 <inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature threshold without Arctic amplification. Error bars show the range of this value across ensemble members, dots show the ensemble mean, and numbers in brackets following the model names indicate the number of ensemble members. For the multi-model ensemble, the box shows the 25th-to-75th percentile range, and whiskers show the 5th-to-95th percentile range. <bold>(c)</bold> Distributions of crossing years in the multi-model ensemble for the two temperature thresholds with and without Arctic amplification. The box plots are defined as in <bold>(b)</bold>.</p></caption>
      <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://esd.copernicus.org/articles/14/1165/2023/esd-14-1165-2023-f01.png"/>

    </fig>

      <p id="d1e268">The Paris Agreement is not breached when just 1 year is warmer than the target temperature <xref ref-type="bibr" rid="bib1.bibx18" id="paren.12"/>. Instead a multi-decadal average must be used to minimise the effect of internal variability <xref ref-type="bibr" rid="bib1.bibx16" id="paren.13"/>. We therefore define breaches of a temperature threshold as the fractional year when the 20-year running-average temperature crosses that threshold. Many climate models significantly over- or underestimate the warming to date since the pre-industrial. To account for this, we scale the modelled temperature anomalies from the pre-industrial baseline to match the observed present-day temperature anomaly. Our results are qualitatively insensitive to the choice of bias correction method (see Methods).</p>
      <p id="d1e277">Figure <xref ref-type="fig" rid="Ch1.F1"/> shows that under the SSP2-4.5 emissions pathway, the 1.5 <inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature threshold would be breached 4.7 (<inline-formula><mml:math id="M8" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 0.4) years later in the absence of Arctic amplification. Across the ensemble of models, the 1.5 <inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold is exceeded in the year 2031.8 (<inline-formula><mml:math id="M10" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 0.9), whereas without Arctic amplification, this scenario breaches the 1.5 <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold in 2036.6 (<inline-formula><mml:math id="M12" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.1). Measuring from 2023, the world would therefore breach the 1.5 <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold 53 % later without amplified warming in the Arctic. The uncertainty value of the difference in crossing years represents the standard error of the bias-corrected multi-model ensemble. The 2 <inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold is passed 8.3 (<inline-formula><mml:math id="M15" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.0) years later without Arctic amplification, in 2060.0 (<inline-formula><mml:math id="M16" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.6) rather than 2051.7 (<inline-formula><mml:math id="M17" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.8), 29 % later. Under a plausible high-emissions scenario (SSP3-7.0, not shown) without Arctic amplification, the 1.5 <inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature threshold would be breached 3.7 (<inline-formula><mml:math id="M19" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 0.2) years (48 %) later, moving the date from 2030.8 (<inline-formula><mml:math id="M20" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 0.7) to 2034.5 (<inline-formula><mml:math id="M21" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 0.8). Under a low-emissions pathway (SSP1-2.6), without Arctic amplification the passing of the 1.5 <inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold is delayed by 6.6 (<inline-formula><mml:math id="M23" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.4) years (81 %). These results demonstrate the key impact of Arctic warming on the central metric of climate policy: the global mean temperature. Amplified Arctic warming reduces the expected time to crossing the 1.5 <inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold by 4–7 years relative to a world without such amplification.</p>
      <p id="d1e427">Our approach also allows assessment of how uncertainty in Arctic warming over the coming decades contributes to uncertainty in the crossing year for the 1.5 <inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold. In the multi-model ensemble, the 10th-to-90th percentile range in 1.5 <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C crossing year is 13.9 years. To quantify the impact of near-term Arctic warming on this uncertainty, it is necessary to account for the strong correlation (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn></mml:mrow></mml:math></inline-formula>) between Arctic warming and the warming south of 66<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N across the multi-model ensemble. We therefore calculate a partial correlation coefficient between the rate of Arctic warming and the crossing year across the multi-model ensemble, controlling for warming outside the Arctic. This partial correlation coefficient is equal to <inline-formula><mml:math id="M29" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.39 (significant at 95 % confidence). The square of this coefficient, 15 %, gives the variance in crossing year for the 1.5 <inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold explained by the near-term Arctic warming rate under the SSP2-4.5 scenario. We find that while occupying only 4 % of the global surface area, variability in near-term Arctic warming contributes 15 % of the inter-model uncertainty in the crossing year. Despite this, Fig. <xref ref-type="fig" rid="Ch1.F1"/>c shows a larger spread in crossing year for the case without Arctic amplification. The reason for the apparent discrepancy is that the warming to date for the CMIP6 model ensemble, which we adjust to match present-day observations, is smaller in the case without Arctic amplification, so there is more time for models to diverge before crossing the temperature thresholds.</p>
      <p id="d1e488">We can also assess how the year in which the 1.5 <inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C limit is exceeded varies between low and high scenarios for Arctic amplification influence. To do this we perform a multiple linear regression on the crossing year using two variables: Arctic warming and warming outside of the Arctic (see Methods). Holding the warming outside of the Arctic constant at its multi-model mean of  0.26 <inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C per decade, our regression model predicts that the 10th and 90th percentiles of near-term Arctic warming are represented by crossing years of 2033.2 and 2030.4, respectively, a difference of 2.9 years. We note that this difference in crossing year associated with the lower and upper bounds on projected Arctic warming is larger than the 1.6 year difference between the mean crossing years for the low- and high-emissions scenarios assessed here (2032.4 and 2030.8, respectively).</p>
      <p id="d1e509">While we focus here only on the direct impact of Arctic warming on global temperature change, the local impacts should not be overlooked. Under 2 <inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of global warming, Arctic temperatures are expected to rise by 4 <inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the annual mean and 7 <inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in winter, with profound consequences for local people and ecosystems <xref ref-type="bibr" rid="bib1.bibx13" id="paren.14"/>. Additionally, amplified Arctic warming contributes to the global challenges that motivated the 1.5 <inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C target, such as sea level rise and permafrost thaw. These local and global impacts are a primary motivation for improving the representation of the Arctic in Earth system models and for accurate observational monitoring in the region. Our findings offer additional motivation for such work – that Arctic warming has an outsized<?pagebreak page1167?> influence on both the timing of and uncertainty in projected breaches of the Paris Agreement's temperature targets.</p>
<sec id="Ch1.Sx1" specific-use="unnumbered">
  <title>Methods</title>
      <p id="d1e557">The CMIP6 analysis includes output of all models and ensemble members for which both the historical and SSP scenarios were available on the United Kingdom's Centre for Environmental Data Analysis (CEDA) data archive (43 CMIP6 models and 172 individual ensemble members). To make reasonable near-term warming projections we adjust model temperatures to match present-day observations. We scale model projections by the ratio of their present-day warming anomaly from the pre-industrial to that value in observations. “Present day” here refers to 2013 because taking a 20-year centred rolling mean introduces a 9-year delay. Scaling is carried out independently for global temperature projections and temperature projections without Arctic amplification. This multiplicative correction has been used in various studies bias-correcting global climate models <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx4 bib1.bibx8" id="paren.15"/>. Our results are qualitatively insensitive to the choice of bias correction method because the observed warming sits close to the median model, such that roughly the same number of model first ensemble members have their global temperature anomaly adjusted upwards (22 models) as downwards (21 models). With an alternative bias correction method, in which model anomalies from observations are subtracted as a constant offset, we find that the 2 <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold is passed 5.8 (<inline-formula><mml:math id="M38" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 0.5) years later without Arctic amplification, as compared to 8.3 years earlier with our preferred scaling method.</p>
      <p id="d1e579">The temperature observations used are the HadCRUT5 dataset <xref ref-type="bibr" rid="bib1.bibx9" id="paren.16"/>, interpolated onto a 0.5<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude grid. The observational temperature data use a blend of sea surface temperature over the open ocean and near-surface air temperature over land and sea ice. This blended global temperature metric is not well suited for making temperature projections using the CMIP6 ensemble because the fraction of open ocean changes with sea ice coverage and is thus not constant between models and ensemble members or over time <xref ref-type="bibr" rid="bib1.bibx19" id="paren.17"/>. As such we follow the recommendation of <xref ref-type="bibr" rid="bib1.bibx19" id="text.18"/> in using a hybrid<?pagebreak page1168?> temperature metric for our analysis, consisting of blended sea surface temperature and near-surface air temperatures for observations to present day and of global near-surface air temperature as directly outputted as a model field for future CMIP6-based projections.</p>
      <p id="d1e600">The fractional year in which a temperature threshold is crossed is calculated by linearly interpolating the rolling mean temperature. For the SSP2-4.5 scenario, two models (FGOALS-g3 and KIOST-ESM) do not cross 2 <inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C by 2100, when the simulation ends. In these cases, we extrapolate the crossing year based on the 2080–2100 trend. For the low-emissions SSP1-2.6 pathway, we only performed our analysis for the 1.5 <inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold, as a majority of models do not exceed 2 <inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C under that scenario. It should be noted that the mean crossing year of a set of trajectories is not in general equal to the crossing year of the mean trajectory, and for this reason the multi-model mean lines in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a do not align with the crossing year distributions in Fig. <xref ref-type="fig" rid="Ch1.F1"/>c. All results quoted in this study refer to the mean crossing year of the individual trajectories.</p>
      <p id="d1e634">To estimate the contribution of Arctic warming to uncertainty in the crossing year we calculate an ordinary least squares multiple linear regression for the 1.5 <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C threshold crossing year in terms of two variables: (i) the linearised warming north of 66<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N over the 30-year period 2013–2044 and (ii) the linearised warming south of 66<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N over the same period. This model predicts sensitivities of the crossing year of <inline-formula><mml:math id="M46" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.0 and <inline-formula><mml:math id="M47" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.7 yr <inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> warming inside and outside the Arctic, respectively. The partial correlation coefficient is also calculated over the same 30-year period of 2013–2044.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e704">All code required to reproduce our analysis is available at <uri>https://github.com/alistairduffey/AA_contrib_to_GMST</uri> and is permanently archived on Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.8386907" ext-link-type="DOI">10.5281/zenodo.8386907</ext-link> <xref ref-type="bibr" rid="bib1.bibx1" id="paren.19"/>.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e719">All data used in this work are publicly available. The CMIP6 climate model simulations can be downloaded from the Earth System Grid Federation CMIP6 archive (<uri>https://esgf-index1.ceda.ac.uk/search/cmip6-ceda/</uri>). The HadCRUT5 observational data can be downloaded via the UK Met Office (<uri>https://www.metoffice.gov.uk/hadobs/hadcrut5/</uri>, <xref ref-type="bibr" rid="bib1.bibx9" id="altparen.20"/>).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e734">AD carried out the CMIP6 data analysis. RM conceived the study. AD and RM jointly wrote the manuscript. PJI, MT and JS provided critical feedback, which shaped the analysis, presentation and manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e740">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e746">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="d1e752">Robbie Mallett would like to thank the International Cryosphere Climate Initiative for valuable discussions which led to this study. We thank Alek Petty and two anonymous reviewers for their comments which improved the paper. This research used computational resources from the UK's data analysis facility for environmental science, JASMIN. Julienne Stroeve acknowledges support from the Canada 150 Research Chairs Program, and Robbie Mallett acknowledges support from the same programme via Julienne Stroeve.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e757">Alistair Duffey's contribution was funded by the London Natural Environment Research Council (NERC) Doctoral Training Partnership (DTP) (grant no. NE/S007229/1). Michel Tsamados received  support from European Space Agency (ESA) (grant nos. ESA/AO/1-9132/17/NL/MP and   ESA/AO/1-10061/19/I-EF) and National Environmental Research Council (NERC) (grant nos. NE/T000546/1 and   NE/X004643/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e763">This paper was edited by Gabriele Messori and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><?xmltex \def\ref@label{Duffey and Mallett(2023)}?><label>Duffey and Mallett(2023)</label><?label Duffey_Mallett2023?><mixed-citation>Duffey, A. and Mallett, R.: alistairduffey/AA_contrib_to_GMST: v1.1 (v1.1), Zenodo [code], <ext-link xlink:href="https://doi.org/10.5281/zenodo.8386907" ext-link-type="DOI">10.5281/zenodo.8386907</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx2"><?xmltex \def\ref@label{{Eyring et~al.(2016)Eyring, Bony, Meehl, Senior, Stevens, Stouffer,
and Taylor}}?><label>Eyring et al.(2016)Eyring, Bony, Meehl, Senior, Stevens, Stouffer, and Taylor</label><?label Eyring2016OverviewOrganization?><mixed-citation>Eyring, V., Bony, S., Meehl, G. A., Senior, C. A., Stevens, B., Stouffer, R. J., and Taylor, K. E.: Overview of the Coupled Model Intercomparison Project Phase 6 (CMIP6) experimental design and organization, Geosci. Model Dev., 9, 1937–1958, <ext-link xlink:href="https://doi.org/10.5194/GMD-9-1937-2016" ext-link-type="DOI">10.5194/GMD-9-1937-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx3"><?xmltex \def\ref@label{{Goosse et~al.(2018)Goosse, Kay, Armour, Bodas-Salcedo, Chepfer,
Docquier, Jonko, Kushner, Lecomte, Massonnet, Park, Pithan, Svensson, and
Vancoppenolle}}?><label>Goosse et al.(2018)Goosse, Kay, Armour, Bodas-Salcedo, Chepfer, Docquier, Jonko, Kushner, Lecomte, Massonnet, Park, Pithan, Svensson, and Vancoppenolle</label><?label Goosse2018QuantifyingRegions?><mixed-citation>Goosse, H., Kay, J. E., Armour, K. C., Bodas-Salcedo, A., Chepfer, H., Docquier, D., Jonko, A., Kushner, P. J., Lecomte, O., Massonnet, F., Park, H. S., Pithan, F., Svensson, G., and Vancoppenolle, M.: Quantifying climate feedbacks in polar regions, Nat. Commun.,  9, 1–13,  <ext-link xlink:href="https://doi.org/10.1038/s41467-018-04173-0" ext-link-type="DOI">10.1038/s41467-018-04173-0</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx4"><?xmltex \def\ref@label{{Graham et~al.(2007)Graham, Andréasson, and
Carlsson}}?><label>Graham et al.(2007)Graham, Andréasson, and Carlsson</label><?label graham_assessing_2007?><mixed-citation>Graham, L. P., Andréasson, J., and Carlsson, B.: Assessing climate change impacts on hydrology from an ensemble of regional climate models, model scales and linking methods – a case study on the Lule River basin, Climatic Change, 81, 293–307, <ext-link xlink:href="https://doi.org/10.1007/s10584-006-9215-2" ext-link-type="DOI">10.1007/s10584-006-9215-2</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx5"><?xmltex \def\ref@label{{Hausfather and Peters(2020)}}?><label>Hausfather and Peters(2020)</label><?label Hausfather2020RCP8.5Emissions?><mixed-citation> Hausfather, Z. and Peters, G. P.: RCP8.5 is a problematic scenario for near-term emissions, P. Natl. Acad. Sci. USA, 117, 27791–27792, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx6"><?xmltex \def\ref@label{{Liu et~al.(2020)Liu, Fedorov, Xie, and Hu}}?><label>Liu et al.(2020)Liu, Fedorov, Xie, and Hu</label><?label liu_climate_2020?><mixed-citation>Liu, W., Fedorov, A. V., Xie, S.-P.<?pagebreak page1169?>, and Hu, S.: Climate impacts of a weakened Atlantic Meridional Overturning Circulation in a warming climate, Sci. Adv.s, 6, eaaz4876, <ext-link xlink:href="https://doi.org/10.1126/sciadv.aaz4876" ext-link-type="DOI">10.1126/sciadv.aaz4876</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx7"><?xmltex \def\ref@label{{MacDougall et~al.(2015)MacDougall, Zickfeld, Knutti, and
Matthews}}?><label>MacDougall et al.(2015)MacDougall, Zickfeld, Knutti, and Matthews</label><?label macdougall_sensitivity_2015?><mixed-citation>MacDougall, A. H., Zickfeld, K., Knutti, R., and Matthews, H. D.: Sensitivity of carbon budgets to permafrost carbon feedbacks and non-CO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> forcings, Environ. Res. Lett., 10, 125003, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/10/12/125003" ext-link-type="DOI">10.1088/1748-9326/10/12/125003</ext-link>,  2015.</mixed-citation></ref>
      <ref id="bib1.bibx8"><?xmltex \def\ref@label{{Melia et~al.(2015)Melia, Haines, and Hawkins}}?><label>Melia et al.(2015)Melia, Haines, and Hawkins</label><?label melia_improved_2015?><mixed-citation>Melia, N., Haines, K., and Hawkins, E.: Improved Arctic sea ice thickness projections using bias-corrected CMIP5 simulations, The Cryosphere, 9, 2237–2251,  <ext-link xlink:href="https://doi.org/10.5194/tc-9-2237-2015" ext-link-type="DOI">10.5194/tc-9-2237-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx9"><?xmltex \def\ref@label{{Morice et~al.(2021)Morice, Kennedy, Rayner, Winn, Hogan, Killick,
Dunn, Osborn, Jones, and Simpson}}?><label>Morice et al.(2021)Morice, Kennedy, Rayner, Winn, Hogan, Killick, Dunn, Osborn, Jones, and Simpson</label><?label morice_updated_2021?><mixed-citation>Morice, C. P., Kennedy, J. J., Rayner, N. A., Winn, J. P., Hogan, E., Killick, R. E., Dunn, R. J. H., Osborn, T. J., Jones, P. D., and Simpson, I. R.: An Updated Assessment of Near-Surface Temperature Change From 1850: The HadCRUT5 Data Set, J. Geophys. Res.-Atmos., 126, e2019JD032361, <ext-link xlink:href="https://doi.org/10.1029/2019JD032361" ext-link-type="DOI">10.1029/2019JD032361</ext-link>, 2021 (data available at <uri>https://www.metoffice.gov.uk/hadobs/hadcrut5/</uri>, last access: 29 December 2022).</mixed-citation></ref>
      <ref id="bib1.bibx10"><?xmltex \def\ref@label{{Pielke et~al.(2022)Pielke~Jr, Burgess, and
Ritchie}}?><label>Pielke et al.(2022)Pielke Jr, Burgess, and Ritchie</label><?label pielke_plausible_emissions_2022?><mixed-citation>Pielke Jr., R., Burgess, M. G., and Ritchie, J.: Plausible 2005–2050 emissions scenarios project between 2 <inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 3 <inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of warming by 2100, Environ. Res. Lett., 17, 024027, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/AC4EBF" ext-link-type="DOI">10.1088/1748-9326/AC4EBF</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx11"><?xmltex \def\ref@label{{Pistone et~al.(2014)Pistone, Eisenman, and
Ramanathan}}?><label>Pistone et al.(2014)Pistone, Eisenman, and Ramanathan</label><?label Pistone2014ObservationalIce?><mixed-citation> Pistone, K., Eisenman, I., and Ramanathan, V.: Observational determination of albedo decrease caused by vanishing Arctic sea ice, P. Natl. Acad. Sci. USA, 111, 3322–3326,  2014.</mixed-citation></ref>
      <ref id="bib1.bibx12"><?xmltex \def\ref@label{{Pithan and Mauritsen(2014)}}?><label>Pithan and Mauritsen(2014)</label><?label Pithan2014ArcticModels?><mixed-citation>Pithan, F. and Mauritsen, T.: Arctic amplification dominated by temperature feedbacks in contemporary climate models, Nat. Geosci., 7, 181–184,   <ext-link xlink:href="https://doi.org/10.1038/ngeo2071" ext-link-type="DOI">10.1038/ngeo2071</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx13"><?xmltex \def\ref@label{{Post et~al.(2019)Post, Alley, Christensen, Macias-Fauria, Forbes,
Gooseff, Iler, Kerby, Laidre, Mann, Olofsson, Stroeve, Ulmer, Virginia, and
Wang}}?><label>Post et al.(2019)Post, Alley, Christensen, Macias-Fauria, Forbes, Gooseff, Iler, Kerby, Laidre, Mann, Olofsson, Stroeve, Ulmer, Virginia, and Wang</label><?label post_polar_2019?><mixed-citation>Post, E., Alley, R. B., Christensen, T. R., Macias-Fauria, M., Forbes, B. C., Gooseff, M. N., Iler, A., Kerby, J. T., Laidre, K. L., Mann, M. E., Olofsson, J., Stroeve, J. C., Ulmer, F., Virginia, R. A., and Wang, M.: The polar regions in a 2 <inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warmer world, Sci. Adv., 5, eaaw9883, <ext-link xlink:href="https://doi.org/10.1126/sciadv.aaw9883" ext-link-type="DOI">10.1126/sciadv.aaw9883</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx14"><?xmltex \def\ref@label{{Previdi et~al.(2021)Previdi, Smith, and
Polvani}}?><label>Previdi et al.(2021)Previdi, Smith, and Polvani</label><?label Previdi2021ArcticMechanisms?><mixed-citation>Previdi, M., Smith, K. L., and Polvani, L. M.: Arctic amplification of climate change: a review of underlying mechanisms, Environ. Res. Lett., 16, 093003, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/AC1C29" ext-link-type="DOI">10.1088/1748-9326/AC1C29</ext-link>, 2021. </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx15"><?xmltex \def\ref@label{{Rantanen et~al.(2022)Rantanen, Karpechko, Lipponen, Nordling,
Hyv{\"{a}}rinen, Ruosteenoja, Vihma, and Laaksonen}}?><label>Rantanen et al.(2022)Rantanen, Karpechko, Lipponen, Nordling, Hyvärinen, Ruosteenoja, Vihma, and Laaksonen</label><?label Rantanen2022The1979?><mixed-citation>Rantanen, M., Karpechko, A. Y., Lipponen, A., Nordling, K., Hyvärinen, O., Ruosteenoja, K., Vihma, T., and Laaksonen, A.: The Arctic has warmed nearly four times faster than the globe since 1979, Commun. Earth Environ., 3, 1–10, <ext-link xlink:href="https://doi.org/10.1038/s43247-022-00498-3" ext-link-type="DOI">10.1038/s43247-022-00498-3</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx16"><?xmltex \def\ref@label{{Rogelj et~al.(2017)Rogelj, Schleussner, and
Hare}}?><label>Rogelj et al.(2017)Rogelj, Schleussner, and Hare</label><?label rogelj_getting_2017?><mixed-citation>Rogelj, J., Schleussner, C.-F., and Hare, W.: Getting It Right Matters: Temperature Goal Interpretations in Geoscience Research, Geophys. Res. Lett., 44, 10662–10665, <ext-link xlink:href="https://doi.org/10.1002/2017GL075612" ext-link-type="DOI">10.1002/2017GL075612</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx17"><?xmltex \def\ref@label{{Rohde and Hausfather(2020)}}?><label>Rohde and Hausfather(2020)</label><?label Rohde2020TheRecord?><mixed-citation>Rohde, R. A. and Hausfather, Z.: The Berkeley Earth Land/Ocean Temperature Record, Earth Syst. Sci. Data, 12, 3469–3479, <ext-link xlink:href="https://doi.org/10.5194/essd-12-3469-2020" ext-link-type="DOI">10.5194/essd-12-3469-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx18"><?xmltex \def\ref@label{{Smith et~al.(2018)Smith, Scaife, Hawkins, Bilbao, Boer, Caian, Caron,
Danabasoglu, Delworth, Doblas-Reyes, Doescher, Dunstone, Eade, Hermanson,
Ishii, Kharin, Kimoto, Koenigk, Kushnir, Matei, Meehl, Menegoz, Merryfield,
Mochizuki, M{\"{u}}ller, Pohlmann, Power, Rixen, Sospedra-Alfonso, Tuma,
Wyser, Yang, and Yeager}}?><label>Smith et al.(2018)Smith, Scaife, Hawkins, Bilbao, Boer, Caian, Caron, Danabasoglu, Delworth, Doblas-Reyes, Doescher, Dunstone, Eade, Hermanson, Ishii, Kharin, Kimoto, Koenigk, Kushnir, Matei, Meehl, Menegoz, Merryfield, Mochizuki, Müller, Pohlmann, Power, Rixen, Sospedra-Alfonso, Tuma, Wyser, Yang, and Yeager</label><?label Smith2018Predicted1.5C?><mixed-citation>Smith, D. M., Scaife, A. A., Hawkins, E., Bilbao, R., Boer, G. J., Caian, M., Caron, L. P., Danabasoglu, G., Delworth, T., Doblas-Reyes, F. J., Doescher, R., Dunstone, N. J., Eade, R., Hermanson, L., Ishii, M., Kharin, V., Kimoto, M., Koenigk, T., Kushnir, Y., Matei, D., Meehl, G. A., Menegoz, M., Merryfield, W. J., Mochizuki, T., Müller, W. A., Pohlmann, H., Power, S., Rixen, M., Sospedra-Alfonso, R., Tuma, M., Wyser, K., Yang, X., and Yeager, S.: Predicted Chance That Global Warming Will Temporarily Exceed 1.5 <inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, Geophys. Res. Lett., 45, 895–11,  <ext-link xlink:href="https://doi.org/10.1029/2018GL079362" ext-link-type="DOI">10.1029/2018GL079362</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx19"><?xmltex \def\ref@label{{Tokarska et~al.(2019)Tokarska, Schleussner, Rogelj, Stolpe, Matthews,
Pfleiderer, and Gillett}}?><label>Tokarska et al.(2019)Tokarska, Schleussner, Rogelj, Stolpe, Matthews, Pfleiderer, and Gillett</label><?label tokarska_recommended_2019?><mixed-citation>Tokarska, K. B., Schleussner, C.-F., Rogelj, J., Stolpe, M. B., Matthews, H. D., Pfleiderer, P., and Gillett, N. P.: Recommended temperature metrics for carbon budget estimates, model evaluation and climate policy, Nat. Geosci., 12, 964–971,  <ext-link xlink:href="https://doi.org/10.1038/s41561-019-0493-5" ext-link-type="DOI">10.1038/s41561-019-0493-5</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx20"><?xmltex \def\ref@label{{UNFCCC(2015)}}?><label>UNFCCC(2015)</label><?label unfccc_adoption_2015?><mixed-citation>UNFCCC: Conference of the Parties (COP): Adoption of the Paris Agreement, <uri>http://unfccc.int/resource/docs/2015/cop21/eng/l09r01.pdf</uri> (last access: 14 July 2023), 2015.</mixed-citation></ref>
      <ref id="bib1.bibx21"><?xmltex \def\ref@label{{Watanabe et~al.(2012)Watanabe, Kanae, Seto, Yeh, Hirabayashi, and
Oki}}?><label>Watanabe et al.(2012)Watanabe, Kanae, Seto, Yeh, Hirabayashi, and Oki</label><?label watanabe_intercomparison_2012?><mixed-citation>Watanabe, S., Kanae, S., Seto, S., Yeh, P. J.-F., Hirabayashi, Y., and Oki, T.: Intercomparison of bias-correction methods for monthly temperature and precipitation simulated by multiple climate models, J. Geophys. Res.-Atmos., 117, D23114,  <ext-link xlink:href="https://doi.org/10.1029/2012JD018192" ext-link-type="DOI">10.1029/2012JD018192</ext-link>, 2012.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>ESD Ideas: Arctic amplification's contribution to breaches of the Paris Agreement</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Duffey and Mallett(2023)</label><mixed-citation>
      
Duffey, A. and Mallett, R.: alistairduffey/AA_contrib_to_GMST: v1.1 (v1.1), Zenodo [code], <a href="https://doi.org/10.5281/zenodo.8386907" target="_blank">https://doi.org/10.5281/zenodo.8386907</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Eyring et al.(2016)Eyring, Bony, Meehl, Senior, Stevens, Stouffer,
and Taylor</label><mixed-citation>
      
Eyring, V., Bony, S., Meehl, G. A., Senior, C. A., Stevens, B., Stouffer,
R. J., and Taylor, K. E.: Overview of the Coupled Model Intercomparison
Project Phase 6 (CMIP6) experimental design and organization, Geosci.
Model Dev., 9, 1937–1958,
<a href="https://doi.org/10.5194/GMD-9-1937-2016" target="_blank">https://doi.org/10.5194/GMD-9-1937-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Goosse et al.(2018)Goosse, Kay, Armour, Bodas-Salcedo, Chepfer,
Docquier, Jonko, Kushner, Lecomte, Massonnet, Park, Pithan, Svensson, and
Vancoppenolle</label><mixed-citation>
      
Goosse, H., Kay, J. E., Armour, K. C., Bodas-Salcedo, A., Chepfer, H.,
Docquier, D., Jonko, A., Kushner, P. J., Lecomte, O., Massonnet, F., Park,
H. S., Pithan, F., Svensson, G., and Vancoppenolle, M.: Quantifying climate
feedbacks in polar regions, Nat. Commun.,  9, 1–13,  <a href="https://doi.org/10.1038/s41467-018-04173-0" target="_blank">https://doi.org/10.1038/s41467-018-04173-0</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Graham et al.(2007)Graham, Andréasson, and
Carlsson</label><mixed-citation>
      
Graham, L. P., Andréasson, J., and Carlsson, B.: Assessing climate change
impacts on hydrology from an ensemble of regional climate models, model
scales and linking methods – a case study on the Lule River basin,
Climatic Change, 81, 293–307,
<a href="https://doi.org/10.1007/s10584-006-9215-2" target="_blank">https://doi.org/10.1007/s10584-006-9215-2</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Hausfather and Peters(2020)</label><mixed-citation>
      
Hausfather, Z. and Peters, G. P.: RCP8.5 is a problematic scenario for
near-term emissions, P. Natl. Acad. Sci. USA, 117, 27791–27792, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Liu et al.(2020)Liu, Fedorov, Xie, and Hu</label><mixed-citation>
      
Liu, W., Fedorov, A. V., Xie, S.-P., and Hu, S.: Climate impacts of a weakened
Atlantic Meridional Overturning Circulation in a warming climate,
Sci. Adv.s, 6, eaaz4876, <a href="https://doi.org/10.1126/sciadv.aaz4876" target="_blank">https://doi.org/10.1126/sciadv.aaz4876</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>MacDougall et al.(2015)MacDougall, Zickfeld, Knutti, and
Matthews</label><mixed-citation>
      
MacDougall, A. H., Zickfeld, K., Knutti, R., and Matthews, H. D.: Sensitivity
of carbon budgets to permafrost carbon feedbacks and non-CO<sub>2</sub> forcings,
Environ. Res. Lett., 10, 125003,
<a href="https://doi.org/10.1088/1748-9326/10/12/125003" target="_blank">https://doi.org/10.1088/1748-9326/10/12/125003</a>,  2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Melia et al.(2015)Melia, Haines, and Hawkins</label><mixed-citation>
      
Melia, N., Haines, K., and Hawkins, E.: Improved Arctic sea ice thickness
projections using bias-corrected CMIP5 simulations, The Cryosphere, 9,
2237–2251,  <a href="https://doi.org/10.5194/tc-9-2237-2015" target="_blank">https://doi.org/10.5194/tc-9-2237-2015</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Morice et al.(2021)Morice, Kennedy, Rayner, Winn, Hogan, Killick,
Dunn, Osborn, Jones, and Simpson</label><mixed-citation>
      
Morice, C. P., Kennedy, J. J., Rayner, N. A., Winn, J. P., Hogan, E., Killick,
R. E., Dunn, R. J. H., Osborn, T. J., Jones, P. D., and Simpson, I. R.: An
Updated Assessment of Near-Surface Temperature Change From
1850: The HadCRUT5 Data Set, J. Geophys. Res.-Atmos., 126, e2019JD032361,
<a href="https://doi.org/10.1029/2019JD032361" target="_blank">https://doi.org/10.1029/2019JD032361</a>, 2021 (data available at <a href="https://www.metoffice.gov.uk/hadobs/hadcrut5/" target="_blank"/>, last access: 29 December 2022).

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Pielke et al.(2022)Pielke Jr, Burgess, and
Ritchie</label><mixed-citation>
      
Pielke Jr., R., Burgess, M. G., and Ritchie, J.: Plausible 2005–2050
emissions scenarios project between 2&thinsp;°C and 3&thinsp;°C of
warming by 2100, Environ. Res. Lett., 17, 024027, <a href="https://doi.org/10.1088/1748-9326/AC4EBF" target="_blank">https://doi.org/10.1088/1748-9326/AC4EBF</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Pistone et al.(2014)Pistone, Eisenman, and
Ramanathan</label><mixed-citation>
      
Pistone, K., Eisenman, I., and Ramanathan, V.: Observational determination of
albedo decrease caused by vanishing Arctic sea ice, P.
Natl. Acad. Sci. USA, 111,
3322–3326,  2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Pithan and Mauritsen(2014)</label><mixed-citation>
      
Pithan, F. and Mauritsen, T.: Arctic amplification dominated by temperature
feedbacks in contemporary climate models, Nat. Geosci., 7,
181–184,   <a href="https://doi.org/10.1038/ngeo2071" target="_blank">https://doi.org/10.1038/ngeo2071</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Post et al.(2019)Post, Alley, Christensen, Macias-Fauria, Forbes,
Gooseff, Iler, Kerby, Laidre, Mann, Olofsson, Stroeve, Ulmer, Virginia, and
Wang</label><mixed-citation>
      
Post, E., Alley, R. B., Christensen, T. R., Macias-Fauria, M., Forbes, B. C.,
Gooseff, M. N., Iler, A., Kerby, J. T., Laidre, K. L., Mann, M. E., Olofsson,
J., Stroeve, J. C., Ulmer, F., Virginia, R. A., and Wang, M.: The polar
regions in a 2&thinsp;°C warmer world, Sci. Adv., 5, eaaw9883,
<a href="https://doi.org/10.1126/sciadv.aaw9883" target="_blank">https://doi.org/10.1126/sciadv.aaw9883</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Previdi et al.(2021)Previdi, Smith, and
Polvani</label><mixed-citation>
      
Previdi, M., Smith, K. L., and Polvani, L. M.: Arctic amplification of climate
change: a review of underlying mechanisms, Environ. Res. Lett.,
16, 093003, <a href="https://doi.org/10.1088/1748-9326/AC1C29" target="_blank">https://doi.org/10.1088/1748-9326/AC1C29</a>, 2021.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Rantanen et al.(2022)Rantanen, Karpechko, Lipponen, Nordling,
Hyvärinen, Ruosteenoja, Vihma, and Laaksonen</label><mixed-citation>
      
Rantanen, M., Karpechko, A. Y., Lipponen, A., Nordling, K., Hyvärinen,
O., Ruosteenoja, K., Vihma, T., and Laaksonen, A.: The Arctic has warmed
nearly four times faster than the globe since 1979, Commun. Earth
Environ., 3, 1–10,
<a href="https://doi.org/10.1038/s43247-022-00498-3" target="_blank">https://doi.org/10.1038/s43247-022-00498-3</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Rogelj et al.(2017)Rogelj, Schleussner, and
Hare</label><mixed-citation>
      
Rogelj, J., Schleussner, C.-F., and Hare, W.: Getting It Right Matters:
Temperature Goal Interpretations in Geoscience Research,
Geophys. Res. Lett., 44, 10662–10665,
<a href="https://doi.org/10.1002/2017GL075612" target="_blank">https://doi.org/10.1002/2017GL075612</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Rohde and Hausfather(2020)</label><mixed-citation>
      
Rohde, R. A. and Hausfather, Z.: The Berkeley Earth Land/Ocean Temperature Record, Earth Syst. Sci. Data, 12, 3469–3479, <a href="https://doi.org/10.5194/essd-12-3469-2020" target="_blank">https://doi.org/10.5194/essd-12-3469-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Smith et al.(2018)Smith, Scaife, Hawkins, Bilbao, Boer, Caian, Caron,
Danabasoglu, Delworth, Doblas-Reyes, Doescher, Dunstone, Eade, Hermanson,
Ishii, Kharin, Kimoto, Koenigk, Kushnir, Matei, Meehl, Menegoz, Merryfield,
Mochizuki, Müller, Pohlmann, Power, Rixen, Sospedra-Alfonso, Tuma,
Wyser, Yang, and Yeager</label><mixed-citation>
      
Smith, D. M., Scaife, A. A., Hawkins, E., Bilbao, R., Boer, G. J., Caian, M.,
Caron, L. P., Danabasoglu, G., Delworth, T., Doblas-Reyes, F. J., Doescher,
R., Dunstone, N. J., Eade, R., Hermanson, L., Ishii, M., Kharin, V., Kimoto,
M., Koenigk, T., Kushnir, Y., Matei, D., Meehl, G. A., Menegoz, M.,
Merryfield, W. J., Mochizuki, T., Müller, W. A., Pohlmann, H., Power,
S., Rixen, M., Sospedra-Alfonso, R., Tuma, M., Wyser, K., Yang, X., and
Yeager, S.: Predicted Chance That Global Warming Will Temporarily Exceed
1.5&thinsp;°C, Geophys. Res. Lett., 45, 895–11,  <a href="https://doi.org/10.1029/2018GL079362" target="_blank">https://doi.org/10.1029/2018GL079362</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Tokarska et al.(2019)Tokarska, Schleussner, Rogelj, Stolpe, Matthews,
Pfleiderer, and Gillett</label><mixed-citation>
      
Tokarska, K. B., Schleussner, C.-F., Rogelj, J., Stolpe, M. B., Matthews,
H. D., Pfleiderer, P., and Gillett, N. P.: Recommended temperature metrics
for carbon budget estimates, model evaluation and climate policy, Nat.
Geosci., 12, 964–971,  <a href="https://doi.org/10.1038/s41561-019-0493-5" target="_blank">https://doi.org/10.1038/s41561-019-0493-5</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>UNFCCC(2015)</label><mixed-citation>
      
UNFCCC: Conference of the Parties (COP): Adoption of the Paris Agreement,
<a href="http://unfccc.int/resource/docs/2015/cop21/eng/l09r01.pdf" target="_blank"/> (last access: 14 July 2023),
2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Watanabe et al.(2012)Watanabe, Kanae, Seto, Yeh, Hirabayashi, and
Oki</label><mixed-citation>
      
Watanabe, S., Kanae, S., Seto, S., Yeh, P. J.-F., Hirabayashi, Y., and Oki, T.:
Intercomparison of bias-correction methods for monthly temperature and
precipitation simulated by multiple climate models, J. Geophys.
Res.-Atmos., 117, D23114,  <a href="https://doi.org/10.1029/2012JD018192" target="_blank">https://doi.org/10.1029/2012JD018192</a>, 2012.

    </mixed-citation></ref-html>--></article>
