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  <front>
    <journal-meta><journal-id journal-id-type="publisher">GMD</journal-id><journal-title-group>
    <journal-title>Geoscientific Model Development</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GMD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geosci. Model Dev.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1991-9603</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/gmd-19-8693-2026</article-id><title-group><article-title>The Cloud Feedback Model Intercomparison Project (CFMIP) contribution to CMIP7</article-title><alt-title>The CFMIP contribution to CMIP7</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Ceppi</surname><given-names>Paulo</given-names></name>
          <email>p.ceppi@imperial.ac.uk</email>
        <ext-link>https://orcid.org/0000-0002-3754-3506</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bodas-Salcedo</surname><given-names>Alejandro</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Zelinka</surname><given-names>Mark D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6570-5445</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff4">
          <name><surname>Andrews</surname><given-names>Timothy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Brient</surname><given-names>Florent</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8485-4705</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff7">
          <name><surname>Chadwick</surname><given-names>Robin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6767-5414</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Dai</surname><given-names>An-Zhuo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Gregory</surname><given-names>Jonathan M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1296-8644</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Hwang</surname><given-names>Yen-Ting</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4084-1408</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Kang</surname><given-names>Sarah M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4635-275X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11 aff12">
          <name><surname>Kay</surname><given-names>Jennifer E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13 aff14">
          <name><surname>Mauritsen</surname><given-names>Thorsten</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Ogura</surname><given-names>Tomoo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff16">
          <name><surname>Tselioudis</surname><given-names>George</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7145-9113</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff17">
          <name><surname>Watanabe</surname><given-names>Masahiro</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Webb</surname><given-names>Mark J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff18">
          <name><surname>Wing</surname><given-names>Allison A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2194-8709</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Physics, Imperial College London, London, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Met Office Hadley Centre, Exeter, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Lawrence Livermore National Laboratory, Livermore, CA, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Earth and Environment, University of Leeds, Leeds, United Kingdom</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>LMD/IPSL, Sorbonne Université, Paris, France</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Institut Universitaire de France (IUF), Paris, France</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Global Systems Institute, Department of Mathematics and Statistics, University of Exeter, Exeter, UK</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>National Centre for Atmospheric Science, University of Reading, Reading, UK</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Department of Atmospheric Sciences, National Taiwan University, Taipei, Taiwan</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Max Planck Institute for Meteorology, Hamburg, Germany</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Department of Atmospheric and Oceanic Sciences, University of Colorado Boulder, Boulder, Colorado, USA</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>Cooperative Institute for Research in Environmental Science, University of Colorado Boulder, Boulder, Colorado, USA</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Department of Meteorology, Stockholm University, Stockholm, Sweden</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>Bolin Centre for Climate Research, Stockholm University, Stockholm, Sweden</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Earth System Division, National Institute for Environmental Studies, Tsukuba, Japan</institution>
        </aff>
        <aff id="aff16"><label>16</label><institution>Goddard Institute for Space Studies, NASA, New York, NY, USA</institution>
        </aff>
        <aff id="aff17"><label>17</label><institution>Atmosphere and Ocean Research Institute, University of Tokyo, Kashiwa, Japan</institution>
        </aff>
        <aff id="aff18"><label>18</label><institution>Department of Earth, Ocean and Atmospheric Science, Florida State University, Tallahassee, FL, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Paulo Ceppi (p.ceppi@imperial.ac.uk)</corresp></author-notes><pub-date><day>18</day><month>September</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>18</issue>
      <fpage>8693</fpage><lpage>8708</lpage>
      <history>
        <date date-type="received"><day>23</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>29</day><month>January</month><year>2026</year></date>
           <date date-type="rev-recd"><day>4</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>5</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Paulo Ceppi et al.</copyright-statement>
        <copyright-year>2026</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://gmd.copernicus.org/articles/19/8693/2026/gmd-19-8693-2026.html">This article is available from https://gmd.copernicus.org/articles/19/8693/2026/gmd-19-8693-2026.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/19/8693/2026/gmd-19-8693-2026.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/19/8693/2026/gmd-19-8693-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e347">Cloud processes constitute one of the key uncertainties for climate change projections. The fourth iteration of the Cloud Feedback Model Intercomparison Project, CFMIP4, contributes to the Coupled Model Intercomparison Project phase 7 (CMIP7), by providing a set of global climate model experiments aiming to enhance our understanding of clouds, circulation and climate sensitivity, thereby informing improved projections of future climate change. CFMIP4 targets four knowledge gaps: (1) Physical mechanisms of cloud feedback and adjustment; (2) Dependence of cloud feedback and adjustment on climate base state and on the nature of the forcing; (3) Coupled mechanisms of the sea-surface temperature “pattern effect”; and (4) Coupling of clouds with circulation and precipitation. CFMIP4 contributes four CMIP7 Assessment Fast Track experiments that are central to the quantification of climate feedback and sensitivity in past, present and future climates, essential for process understanding and model evaluation. Furthermore, CFMIP4 supports the joint analysis of models and observations through a data request that includes process and satellite simulator output.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>UK Research and Innovation</funding-source>
<award-id>EP/Y036123/1</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Natural Environment Research Council</funding-source>
<award-id>NE/V012045/1</award-id>
<award-id>NE/T006250/1</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Department for Science, Innovation and Technology</funding-source>
<award-id>Met Office Hadley Centre Climate Programme</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Lawrence Livermore National Laboratory</funding-source>
<award-id>DE-AC52-07NA27344</award-id>
</award-group>
<award-group id="gs5">
<funding-source>Agence Nationale de la Recherche</funding-source>
<award-id>ANR-22-CE01-0005</award-id>
</award-group>
<award-group id="gs6">
<funding-source>National Science and Technology Council</funding-source>
<award-id>112-2111-M-002-016-MY4</award-id>
</award-group>
<award-group id="gs7">
<funding-source>National Science Foundation</funding-source>
<award-id>AGS-2140419</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e361">Clouds play a fundamental role for climate variability and change by modulating the Earth's radiation budget, as well as by coupling with atmospheric circulation and precipitation. These processes are however subject to substantial and long-standing uncertainty in global climate models (GCMs), and they are difficult to constrain observationally. The purpose of the Cloud Feedback Model Intercomparison Project (CFMIP) is to inform improved projections of future climate change, by understanding and evaluating clouds, circulation and climate sensitivity.</p>
      <p id="d2e364">The present paper aims to motivate and describe the science questions and experimental protocol of the fourth iteration of CFMIP, hereafter CFMIP4, which will contribute to phase seven of the Coupled Model Intercomparison Project <xref ref-type="bibr" rid="bib1.bibx38" id="paren.1"><named-content content-type="pre">CMIP7;</named-content></xref>. While the present paper focuses on global climate modelling, we highlight that the CFMIP community's activities and interests extend to field studies <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx136 bib1.bibx123" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref>, analysis of satellite observations <xref ref-type="bibr" rid="bib1.bibx132 bib1.bibx139 bib1.bibx24 bib1.bibx145" id="paren.3"><named-content content-type="pre">e.g.,</named-content></xref>, and process modelling <xref ref-type="bibr" rid="bib1.bibx118 bib1.bibx60 bib1.bibx141 bib1.bibx91" id="paren.4"><named-content content-type="pre">e.g.,</named-content></xref>. Correspondingly, the CFMIP experiment protocol and data request are designed to facilitate the validation of global climate model simulations against observations and process-resolving modelling across a range of scales.</p>
      <p id="d2e387">A long-standing focus of CFMIP activities has been on understanding and quantifying cloud feedback and adjustment, the two main processes through which clouds affect the climate sensitivity. Cloud feedback and adjustment represent respectively the slow, SST-mediated and the fast, non-SST-mediated components of the cloud-radiative response to forcing. Cloud feedback in particular has dominated inter-model spread in climate sensitivity across generations of GCMs <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx27 bib1.bibx144" id="paren.5"/>, and also constitutes a key uncertainty in process-based assessments of the climate sensitivity <xref ref-type="bibr" rid="bib1.bibx119 bib1.bibx43" id="paren.6"/>. Radiative feedback is commonly estimated by least-squares regression of top-of-atmosphere radiative anomalies onto global-mean surface temperature, under the assumption that the Earth's global radiative response, <inline-formula><mml:math id="M1" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>, is approximately linear with respect to surface temperature anomaly <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>: <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>≈</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>, with the climate feedback parameter <inline-formula><mml:math id="M4" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> assumed near-constant <xref ref-type="bibr" rid="bib1.bibx49" id="paren.7"/>.</p>
      <p id="d2e440">Over the last decade, the CFMIP community has played a leading role in demonstrating that cloud feedback is in fact non-constant, and in particular that it differs substantially between observed historical climate and future projected climate change <xref ref-type="bibr" rid="bib1.bibx148 bib1.bibx48 bib1.bibx4 bib1.bibx5" id="paren.8"><named-content content-type="pre">e.g.,</named-content></xref>. Analysis of experiments involving different forcing agents and forcing time evolutions has revealed that <inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> varies with time, forcing agent, forcing magnitude, and the climate base state <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx74 bib1.bibx20 bib1.bibx9 bib1.bibx112 bib1.bibx51 bib1.bibx149 bib1.bibx113 bib1.bibx105 bib1.bibx79" id="paren.9"><named-content content-type="pre">e.g.,</named-content></xref>, with cloud feedback often dominating the variations in <inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>.</p>
      <p id="d2e468">Much of this variation in cloud feedback is now understood to result from anomalous patterns of sea-surface temperature (SST), via their effect on lower-tropospheric stability and boundary-layer cloud – a phenomenon known as the “SST pattern effect” <xref ref-type="bibr" rid="bib1.bibx122 bib1.bibx109" id="paren.10"/>. This pattern effect accounts for cloud-radiative variability on timescales ranging from inter-annual to multi-decadal, involving both forced SST responses and unforced coupled climate variability. Beyond the SST pattern effect however, the climate base state also affects cloud feedback (and potentially also cloud adjustment), particularly through a dependence on temperature <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx7 bib1.bibx9" id="paren.11"><named-content content-type="pre">e.g.,</named-content></xref> – thus further contributing to changes in <inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> as the climate warms.</p>
      <p id="d2e486">The climate impact of clouds occurs not only via the global radiation budget, but also through interactions with regional climate processes. The CFMIP community therefore has a long-standing interest in cloud–circulation coupling across a range of scales <xref ref-type="bibr" rid="bib1.bibx12" id="paren.12"/>, from convective processes <xref ref-type="bibr" rid="bib1.bibx140 bib1.bibx15 bib1.bibx141" id="paren.13"/> to planetary-scale circulations such as the Hadley cells and the midlatitude jets <xref ref-type="bibr" rid="bib1.bibx127 bib1.bibx86" id="paren.14"/>. Recent years have seen an increased focus on interactions between clouds and ocean processes, producing novel insights into how clouds can affect patterns of SST under both natural variability and forced climate change <xref ref-type="bibr" rid="bib1.bibx142 bib1.bibx6 bib1.bibx18 bib1.bibx81 bib1.bibx66 bib1.bibx58 bib1.bibx64 bib1.bibx17" id="paren.15"/>.</p>
      <p id="d2e501">These recent advances in the understanding of clouds and their coupling with circulation and climate sensitivity motivate a new set of science questions that underpin the CFMIP4 experimental protocol. Section 2 will introduce the CFMIP4 science questions, review the insights gained from the previous iteration of CFMIP experiments <xref ref-type="bibr" rid="bib1.bibx135" id="paren.16"><named-content content-type="pre">i.e. CFMIP-3;</named-content></xref>, and discuss new opportunities for progress. The experimental protocol and data request are described in Sects. 3 and 4 respectively.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>CFMIP4 science questions and opportunities for progress</title>
      <p id="d2e517">The CFMIP4 science questions are deliberately broad in scope, to encompass the range of current and future research directions within the CFMIP community. We however highlight specific knowledge gaps relevant to our science questions, where we hope the new CFMIP4 experiment protocol and data request will provide new opportunities for progress.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>What are the physical mechanisms underlying <italic>cloud feedbacks and adjustments</italic> in nature, and how credibly do models represent these?</title>
      <p id="d2e531">Considerable uncertainty remains on feedback mechanisms for individual cloud regimes. While the rise of high clouds with warming is reasonably well understood <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx143" id="paren.17"/> and observed <xref ref-type="bibr" rid="bib1.bibx87 bib1.bibx102 bib1.bibx30" id="paren.18"/>, there are ongoing efforts to elucidate how high-cloud amount and optical depth respond to warming, and how this affects longwave and shortwave radiation <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx99 bib1.bibx139" id="paren.19"/>. In particular, further observational and modelling work is needed to verify a hypothesis that predicts a reduction in high-cloud amount as the upper troposphere warms and stabilises <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx77" id="paren.20"/>. As for low-cloud feedback, while observational evidence of a positive feedback is now strong <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx26 bib1.bibx23" id="paren.21"/>, the relative importance of various potential physical drivers remains unclear <xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx83 bib1.bibx89 bib1.bibx129" id="paren.22"/>. Open questions also remain regarding the magnitude and microphysical mechanisms of phase-change feedbacks <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx132 bib1.bibx76 bib1.bibx125" id="paren.23"/> and the possible coupling between aerosol forcing and cloud feedback <xref ref-type="bibr" rid="bib1.bibx45" id="paren.24"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e561">The representation of cloud feedback processes in climate models is a long-standing challenge <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx144" id="paren.25"/>, with uncertainty resulting from a combination of structural and parametric uncertainty <xref ref-type="bibr" rid="bib1.bibx37" id="paren.26"><named-content content-type="pre">e.g.,</named-content></xref>. Recent trends in clouds and radiation are providing new opportunities to observationally assess the feedback and adjustments of clouds, and to validate the behaviour of GCMs, particularly through the use of satellite simulator output provided as part of CFMIP-3 <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx135 bib1.bibx124" id="paren.27"/>. Observations indicate a rapid increase in Earth's energy imbalance since the turn of the century, at a rate close to 0.5 W m<sup>−2</sup> decade<sup>−1</sup>
<xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx70 bib1.bibx75" id="paren.28"/>, with changes in marine low clouds and storm-track clouds making a large contribution to this trend <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx128 bib1.bibx24 bib1.bibx145" id="paren.29"/>. GCMs appear unable to replicate the magnitude of this energy imbalance increase, whether SSTs are interactive <xref ref-type="bibr" rid="bib1.bibx90" id="paren.30"/> or prescribed <xref ref-type="bibr" rid="bib1.bibx98 bib1.bibx57" id="paren.31"/>; the reasons for this discrepancy are presently unclear. There is a pressing need to quantify the contributions of cloud feedback and adjustments to the observed trends, and the ability of GCMs to represent these. While much research so far has focused on the cloud response to weakening aerosol emissions <xref ref-type="bibr" rid="bib1.bibx96 bib1.bibx57" id="paren.32"/>, we highlight the need for observational constraints on greenhouse gas adjustments, which may have made a comparably large contribution to the recent cloud-radiative trends <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx145" id="paren.33"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>How and why do cloud feedbacks and adjustments depend on <italic>climate base state</italic> and on the <italic>nature of the climate forcing</italic>?</title>
      <p id="d2e633">Analyses of CFMIP-3 experiments forced with different levels of SST (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> K) and CO<sub>2</sub> (halving, doubling, quadrupling from pre-industrial) have revealed a substantial inter-model spread in cloud feedback state-dependence, with most GCMs simulating a more amplifying feedback as the climate warms <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx105" id="paren.34"/>. This is a first-order control on climate sensitivity in some GCMs; for example, CESM2 simulates a near-doubling of the climate sensitivity between the <italic>abrupt-2xCO2</italic> and <italic>abrupt-4xCO2</italic> experiments <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx93 bib1.bibx97" id="paren.35"/>. State-dependence also affects non-cloud feedbacks <xref ref-type="bibr" rid="bib1.bibx117 bib1.bibx16 bib1.bibx68" id="paren.36"><named-content content-type="pre">e.g.,</named-content></xref> and the degree to which they are masked by clouds <xref ref-type="bibr" rid="bib1.bibx121 bib1.bibx67" id="paren.37"/>. Understanding to what extent this feedback state-dependence is due to changing SST patterns, feedback temperature dependence, or other processes, is an avenue for future research.</p>
      <p id="d2e676">It has long been recognised that forcing agents can differ in their “efficacy”, i.e. the amount of temperature change per unit radiative forcing, as a result of differences in climate feedback <xref ref-type="bibr" rid="bib1.bibx52" id="paren.38"/>. Hence, temporal changes in the relative importance of various forcing agents mean that climate feedback may differ between the historical period and future climate change <xref ref-type="bibr" rid="bib1.bibx74" id="paren.39"/>. Several studies have identified a role for the patterns of SST response, and thus cloud feedback, in explaining forcing efficacy differences <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx20 bib1.bibx112 bib1.bibx51 bib1.bibx149 bib1.bibx146" id="paren.40"/>. The results are however highly model dependent <xref ref-type="bibr" rid="bib1.bibx103 bib1.bibx84" id="paren.41"/>, and it remains therefore uncertain to what extent changes in the relative strength of diverse forcing agents may contribute to time variation in historical climate feedback <xref ref-type="bibr" rid="bib1.bibx148 bib1.bibx5" id="paren.42"/>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>What coupled processes underlie the <italic>SST pattern effect</italic>, and how does this affect cloud feedback?</title>
      <p id="d2e706">Understanding the mechanisms of SST pattern formation has been identified as one of four fundamental science questions guiding the activities of CMIP7 <xref ref-type="bibr" rid="bib1.bibx38" id="paren.43"/>. There is compelling evidence that aspects of the observed SST warming pattern in recent decades, for example the east–west contrast across the tropical Pacific Ocean, lie outside of the range of coupled GCM simulations <xref ref-type="bibr" rid="bib1.bibx138 bib1.bibx120" id="paren.44"/>. This has important implications for the time evolution of climate feedback via the pattern effect <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx148 bib1.bibx1" id="paren.45"/>, as revealed by CFMIP-3 experiment <italic>amip-piForcing</italic>, in which atmosphere GCMs are forced with observed historical SST and sea-ice but with constant pre-industrial forcing <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx113" id="paren.46"><named-content content-type="pre">Table 1;</named-content></xref>. It is presently unclear whether this model bias indicates issues with the GCM representation of natural variability, the forced response, or both.</p>
      <p id="d2e726">Of particular relevance to CFMIP is the potential role of subtropical marine stratocumulus clouds, whose feedback GCMs tend to under-represent <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx23" id="paren.47"/>. Recent modelling evidence suggests that a stronger (and thus more realistic) stratocumulus cloud feedback results in a stronger coupling between Southern Ocean and tropical Pacific SST anomalies <xref ref-type="bibr" rid="bib1.bibx66" id="paren.48"/>. Thus, GCMs with Southern Ocean SSTs nudged towards the observed decadal cooling trend during 1979 to 2013 produce a more realistic tropical Pacific warming pattern, with suppressed East Pacific warming, to the extent that they simulate a realistically strong stratocumulus cloud feedback <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx64" id="paren.49"/>. Coupled mean-state biases in SSTs, clouds and circulation around the Intertropical Convergence Zone (ITCZ) region may also play an important role for the SST warming pattern through their impact on the trade winds <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx40" id="paren.50"/>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>What are the mechanisms underlying <italic>cloud–circulation coupling</italic> and <italic>regional precipitation change</italic>, and how credibly do models represent these?</title>
      <p id="d2e757">Under global warming, climate models simulate shifts in features of the atmospheric circulation such as the jet streams, the subtropical dry zones, and tropical rainfall – all of which will have substantial impacts on regional climate through their coupling with the radiative budget components and the hydrological cycle. Shifts in these circulation features are however highly uncertain among climate models <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx114 bib1.bibx54 bib1.bibx33 bib1.bibx50 bib1.bibx133" id="paren.51"><named-content content-type="pre">e.g.,</named-content></xref>. Cloud–circulation coupling contributes to this uncertainty, with cloud-radiative heating affecting atmospheric temperature gradients through local diabatic effects as well as via coupling with SSTs <xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx19 bib1.bibx130" id="paren.52"/>.</p>
      <p id="d2e768">CFMIP-3 included a set of atmosphere-only time-slice experiments (<italic>piSST</italic>, <italic>a4SST</italic>, and variants) aimed at decomposing the coupled 4<inline-formula><mml:math id="M12" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>CO<sub>2</sub> climate response into contributions from SST, sea-ice, and direct responses to CO<sub>2</sub>, providing insight into sources of inter-model uncertainty <xref ref-type="bibr" rid="bib1.bibx135 bib1.bibx28" id="paren.53"/>. Analysis of these simulations has revealed that rapid adjustments, uniform SST changes and SST warming patterns all contribute substantially to model uncertainty in tropical circulation and precipitation, with the balance between mechanisms varying by region <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx80" id="paren.54"/>. This highlights the need for tighter constraints on the coupled response of clouds and circulation to rapid adjustments and SST-mediated warming.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>CFMIP4 experimental protocol</title>
      <p id="d2e818">Table <xref ref-type="table" rid="T1"/> summarises the CFMIP4 protocol and the science questions addressed by each experiment. A summary schematic of the experiments is provided in Fig. <xref ref-type="fig" rid="F1"/>. In our experiment names, we follow the convention that “4k” has a lower-case k in CMIP7 <xref ref-type="bibr" rid="bib1.bibx38" id="paren.55"/>, whereas it was upper-case K in CMIP6. Compared to the previous iteration, CFMIP-3, the main changes include: <list list-type="bullet"><list-item>
      <p id="d2e830">A contribution to the new CMIP7 Assessment Fast Track <xref ref-type="bibr" rid="bib1.bibx38" id="paren.56"><named-content content-type="pre">AFT;</named-content></xref>, through the following experiments: <italic>amip-piForcing</italic> for historical feedback and pattern effect; <italic>amip-p4k</italic> for cloud feedback; <italic>abrupt-2xCO2</italic> and <italic>abrupt-0p5xCO2</italic> for forcing and feedback state-dependence.</p></list-item><list-item>
      <p id="d2e851">Three new experiments, described in greater detail in the subsections below: <italic>amip-p4k-rad</italic> and <italic>amip-p4k-turb</italic> (cloud feedback processes); <italic>piClim-deltaSST</italic> (CO<sub>2</sub>-forced pattern effect).</p></list-item><list-item>
      <p id="d2e873">An additional <italic>amip-piForcing</italic> variant forced with HadISST1 SST and sea-ice concentration <xref ref-type="bibr" rid="bib1.bibx100" id="paren.57"><named-content content-type="pre">SIC;</named-content></xref>, and extending to December 2025.</p></list-item><list-item>
      <p id="d2e885">An overall more compact set of experiments: we have discontinued the aquaplanet experiments, <italic>amip-4xCO2</italic>, <italic>amip-future4K</italic>, the abrupt solar forcing experiments, and the <italic>lwoff</italic> experiments with longwave cloud-radiative effects switched off <xref ref-type="bibr" rid="bib1.bibx135" id="paren.58"/>. The <italic>piSST</italic> and <italic>a4SST</italic> set of experiments has also been reduced from eight to three, to focus on the processes identified as most important in previous analyses.</p></list-item></list></p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e909">Schematic of the CFMIP4 and related CMIP7 DECK experiments. Experiments are grouped horizontally according to pre-industrial, present-day, or perturbed climates; experiments are also grouped according to the key science questions they address (see Table <xref ref-type="table" rid="T1"/> for additional details).</p></caption>
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/8693/2026/gmd-19-8693-2026-f01.png"/>

      </fig>

      <p id="d2e920">Note that the former <italic>amip-4xCO2</italic> experiment has been superseded by Radiative Forcing Model Intercomparison Project <xref ref-type="bibr" rid="bib1.bibx69" id="paren.59"><named-content content-type="pre">RFMIP;</named-content></xref> experiments <italic>piClim-4xCO2</italic> and <italic>piClim-4xCO2-rad</italic>. By comparison with <italic>piClim-control</italic>, both experiments quantify the effective radiative forcing of CO<sub>2</sub>, respectively with and without plant physiological responses. <italic>piClim-4xCO2-rad</italic> is therefore the closest analogue to <italic>amip-4xCO2</italic>, which did not include the plant physiological effect.</p>
      <p id="d2e957">Contrary to CFMIP-3, the CFMIP4 protocol does not distinguish between mandatory Tier 1 experiments and optional higher tiers. Our hope is that the reduced set of experiments will encourage full participation in our protocol by modelling groups.</p>
      <p id="d2e960">We highlight the continuity in CFMIP and related DECK experiments <italic>abrupt-4xCO2</italic>, <italic>amip</italic> and <italic>amip-p4K</italic>, relative to previous iterations of CFMIP and CMIP. This continuity facilitates an evaluation of the drivers of changes in cloud adjustment and feedback (and thus effective radiative forcing and climate sensitivity) across generations of CMIP models, as for example performed by <xref ref-type="bibr" rid="bib1.bibx144" id="text.60"/>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e978">Summary of CFMIP4 and related CMIP7 DECK experiments. For abrupt CO<sub>2</sub> forcing experiments, we request a minimum of 300 years of simulation, but encourage modelling groups to extend the simulations to 1000 years or longer if possible.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="6.7cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="0.8cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="6cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Experiment</oasis:entry>

         <oasis:entry colname="col2" align="left">Description</oasis:entry>

         <oasis:entry colname="col3" align="left">Years</oasis:entry>

         <oasis:entry colname="col4" align="left">Science questions &amp; applications</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1"><italic>abrupt-4xCO2</italic><sup>a</sup></oasis:entry>

         <oasis:entry colname="col2" align="left">Abrupt quadrupling of CO<sub>2</sub> concentration relative to <italic>piControl</italic></oasis:entry>

         <oasis:entry colname="col3" align="left">300<inline-formula><mml:math id="M24" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (1000)</oasis:entry>

         <oasis:entry colname="col4" morerows="2" align="left">Q1  Climate feedback &amp; sensitivity  Q2  Forcing &amp; feedback state-dependence;  palaeoclimate feedback  Q3  CO<sub>2</sub>-forced pattern effects  Q4   CO<sub>2</sub>-forced circulation &amp; precipitation   changes</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2" align="left">Additional 9<inline-formula><mml:math id="M27" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ensemble members for years 1–10, initialised in 10-year intervals</oasis:entry>

         <oasis:entry colname="col3" align="left">90<inline-formula><mml:math id="M28" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>abrupt-2xCO2</italic><sup>b</sup></oasis:entry>

         <oasis:entry colname="col2" align="left">Abrupt doubling of CO<sub>2</sub> concentration relative to <italic>piControl</italic></oasis:entry>

         <oasis:entry colname="col3" align="left">300<inline-formula><mml:math id="M31" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (1000)</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"><italic>abrupt-0p5xCO2</italic><sup>b</sup></oasis:entry>

         <oasis:entry colname="col2" align="left">Abrupt halving of CO<sub>2</sub> concentration relative to <italic>piControl</italic></oasis:entry>

         <oasis:entry colname="col3" align="left">300<inline-formula><mml:math id="M34" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (1000)</oasis:entry>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>amip</italic><sup>a</sup></oasis:entry>

         <oasis:entry colname="col2" align="left">Atmosphere-only with observed SST/SIC prescribed and historical forcing</oasis:entry>

         <oasis:entry colname="col3" align="left">43</oasis:entry>

         <oasis:entry colname="col4" morerows="1" align="left">Q1 Observed forcing and feedback Q3 Observed pattern effects Q4 Observed circulation &amp; precipitation changes</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>amip-piForcing</italic><sup>b,c,d</sup></oasis:entry>

         <oasis:entry colname="col2" align="left">As <italic>amip</italic>, but with constant pre-industrial forcing and from January 1870 to December 2021</oasis:entry>

         <oasis:entry colname="col3" align="left">152</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2" align="left">Additional <italic>amip-piForcing</italic> variant with HadISST1 SST and SIC, January 1870 to December 2025</oasis:entry>

         <oasis:entry colname="col3" align="left">156</oasis:entry>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>amip-p4k</italic><sup>b</sup></oasis:entry>

         <oasis:entry colname="col2" align="left"><italic>amip</italic> with uniform 4-K SST increase</oasis:entry>

         <oasis:entry colname="col3" align="left">43</oasis:entry>

         <oasis:entry colname="col4" align="left">Q1  Climate feedback</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>amip-m4k</italic></oasis:entry>

         <oasis:entry colname="col2" align="left"><italic>amip</italic> with uniform 4-K SST decrease</oasis:entry>

         <oasis:entry colname="col3" align="left">43</oasis:entry>

         <oasis:entry colname="col4" align="left">Q2  Feedback state-dependence</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2" align="left"/>

         <oasis:entry colname="col3" align="left"/>

         <oasis:entry colname="col4" align="left">Q4  Circulation &amp; precipitation changes</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>amip-p4k-rad</italic></oasis:entry>

         <oasis:entry colname="col2" align="left"><italic>amip</italic> with surface radiative emission perturbed according to a 4-K increase in surface skin temperature</oasis:entry>

         <oasis:entry colname="col3" align="left">43</oasis:entry>

         <oasis:entry colname="col4" align="left">Q1  Cloud feedback processes</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"><italic>amip-p4k-turb</italic></oasis:entry>

         <oasis:entry colname="col2" align="left"><italic>amip</italic> with surface turbulent energy fluxes perturbed according to a 4-K increase in surface skin temperature</oasis:entry>

         <oasis:entry colname="col3" align="left">43</oasis:entry>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"><italic>piClim-deltaSST</italic><sup>d</sup></oasis:entry>

         <oasis:entry colname="col2" align="left"><italic>piClim-control</italic> with added monthly time-varying SST anomalies from years 1–20 of a representative set of seven CMIP6 <italic>abrupt-4xCO2</italic> simulations</oasis:entry>

         <oasis:entry colname="col3" align="left">20 <inline-formula><mml:math id="M39" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 7</oasis:entry>

         <oasis:entry colname="col4" align="left">Q2  CO<sub>2</sub>-forced pattern effects</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>piSST-pxK</italic></oasis:entry>

         <oasis:entry colname="col2" align="left">Atmosphere-only with monthly time-varying SST and SIC prescribed from 30 years of each model's own <italic>piControl</italic> simulation, plus a uniform <inline-formula><mml:math id="M41" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-K SST increase taken from each model's own global, climatological annual-mean ice-free SST change between <italic>abrupt-4xCO2</italic> (years 111–140) and <italic>piControl</italic></oasis:entry>

         <oasis:entry colname="col3" align="left">30</oasis:entry>

         <oasis:entry colname="col4" morerows="3" align="left">Q4  Decomposition of CO<sub>2</sub>-driven  circulation &amp; precipitation changes into:  CO<sub>2</sub> adjustment; response to uniform  SST increase; response to SST pattern  and sea-ice change</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>a4SSTice</italic></oasis:entry>

         <oasis:entry colname="col2" align="left">Atmosphere-only with monthly time-varying SST and SIC prescribed from years 111–140 of each model's own <italic>abrupt-4xCO2</italic>, and pre-industrial CO<sub>2</sub> concentration</oasis:entry>

         <oasis:entry colname="col3" align="left">30</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><italic>a4SSTice-4xCO2</italic></oasis:entry>

         <oasis:entry colname="col2" align="left"><italic>a4SSTice</italic> with quadrupled CO<sub>2</sub> concentration</oasis:entry>

         <oasis:entry colname="col3" align="left">30</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e990"><sup>a</sup> DECK; <sup>b</sup> Assessment Fast Track; <sup>c</sup> Minimum three realisations; <sup>d</sup> SST forcing variants to be denoted by different forcing indices (<italic>f1</italic>, <italic>f2</italic>, etc.).</p></table-wrap-foot></table-wrap>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Coupled abrupt CO<sub>2</sub> forcing experiments</title>
      <p id="d2e1589">Assessments of climate feedback and equilibrium climate sensitivity (ECS) are typically based on the <italic>abrupt-4xCO2</italic> experiment <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx144" id="paren.61"><named-content content-type="pre">e.g.,</named-content></xref>, part of the Diagnostics, Evaluation and Characterization of Klima (DECK) group of core CMIP7 experiments <xref ref-type="bibr" rid="bib1.bibx38" id="paren.62"/>. To support research on cloud processes, we ask modelling groups to output the CFMIP variables requested as part of our “Baseline” opportunity for this and all other DECK experiments (see Sect. <xref ref-type="sec" rid="Ch1.S4"/>, and note that “opportunities” refer to data requests in CMIP7).</p>
      <p id="d2e1605">The <italic>abrupt-4xCO2</italic> experiment is complemented by CO<sub>2</sub> doubling and halving experiments, <italic>abrupt-2xCO2</italic> and <italic>abrupt-0p5xCO2</italic>, both of which are part of the AFT <xref ref-type="bibr" rid="bib1.bibx38" id="paren.63"/>. Comparing among these experiments will quantify the degree to which climate feedback, ECS and the pattern effect are sensitive to climate state and forcing magnitude. This will be supported by RFMIP experiments <italic>piClim-4xCO2</italic>, <italic>piClim-2xCO2</italic> and <italic>piClim-0p5xCO2</italic>, addressing the state-dependence of effective radiative forcing, including cloud adjustments <xref ref-type="bibr" rid="bib1.bibx69" id="paren.64"/>. The <italic>abrupt-0p5CO2</italic> experiment can also support the assessment of feedback processes in colder palaeoclimates, for example the Last Glacial Maximum <xref ref-type="bibr" rid="bib1.bibx32" id="paren.65"/>.</p>
      <p id="d2e1648">As a novel aspect of CFMIP4 and CMIP7, all abrupt CO<sub>2</sub> forcing experiments should be run for a minimum of 300 years, and ideally 1000 years or longer <xref ref-type="bibr" rid="bib1.bibx38" id="paren.66"/>. This will facilitate an assessment of the longer timescales of the coupled climate response <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx44 bib1.bibx3 bib1.bibx94 bib1.bibx107" id="paren.67"/>, including the time evolution of climate feedback and the pattern effect, and thus the ECS <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx9" id="paren.68"/>.</p>
      <p id="d2e1670">Another addition to CFMIP4 is the request of an extra nine <italic>abrupt-4xCO2</italic> ensemble members (and more if possible) for the first 10 years of the experiment, to support the assessment of the fast timescale of the SST response pattern <xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx22 bib1.bibx56 bib1.bibx147" id="paren.69"><named-content content-type="pre">e.g.,</named-content></xref>. The choice of 10 years aims to keep the computational burden of the request limited, while also allowing for an accurate characterisation of the early SST response to CO<sub>2</sub> forcing. The ensemble members should be initialised in 10-year intervals from the parent <italic>piControl</italic> simulation, to ensure variability in ocean conditions is adequately sampled.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Atmosphere-only experiments</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title><italic>amip</italic></title>
      <p id="d2e1710">The DECK experiment <italic>amip</italic> simulates historical climate conditions (including atmospheric composition and insolation) with prescribed observed SST and SIC from January 1979 to December 2021. To support process studies of cloud-radiative trends and feedback, and comparison with observations, for <italic>amip</italic> and its variants with uniform 4-K SST increase or decrease we request outputs from both our “Baseline” and “Extension for process-level studies” opportunities (Sect. <xref ref-type="sec" rid="Ch1.S4"/>). The “Extension” outputs should be supplied for at least one ensemble member.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title><italic>amip-piForcing</italic></title>
      <p id="d2e1731">The AFT experiment <italic>amip-piForcing</italic> follows the same protocol as <italic>amip</italic>, but with forcing agents set to pre-industrial values. This facilitates the diagnosis of the SST-mediated radiative response, climate feedback and the pattern effect <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx148 bib1.bibx5" id="paren.70"/>. Comparison of <italic>amip</italic> and <italic>amip-piForcing</italic> during their period of overlap also provides an estimate of the historical effective radiative forcing, complementary to the RFMIP experiment <italic>piClim-histall</italic> <xref ref-type="bibr" rid="bib1.bibx69" id="paren.71"/>.</p>
      <p id="d2e1756">The CMIP7 protocol for <italic>amip-piForcing</italic> employs the Atmospheric Model Intercomparison Project (AMIP) II SST and SIC dataset, ending December 2022 <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx39 bib1.bibx38" id="paren.72"/>. This means that the period since 2023, which saw large anomalies in SST, global-mean surface temperature and the global energy budget <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx115 bib1.bibx46" id="paren.73"/>, is not covered. We therefore request that participating modelling centres run an additional <italic>amip-piForcing</italic> variant with HadISST1 SST and SIC <xref ref-type="bibr" rid="bib1.bibx100" id="paren.74"/>, extending up to December 2025 (input files available on <ext-link xlink:href="https://doi.org/10.5281/zenodo.21164517" ext-link-type="DOI">10.5281/zenodo.21164517</ext-link> <xref ref-type="bibr" rid="bib1.bibx25" id="paren.75"/>, pending final publication on the Earth System Grid Federation). The choice of HadISST1 is motivated by the fact that it is a regularly updated, operational dataset, and that it has been used in previous studies to force atmosphere-only GCMs <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx5 bib1.bibx78 bib1.bibx41" id="paren.76"/>, despite known shortcomings in e.g. the representation of Southern Ocean SST trends <xref ref-type="bibr" rid="bib1.bibx116" id="paren.77"/>.</p>
      <p id="d2e1787">Comparing between the AMIP II and the HadISST1 variants of <italic>amip-piForcing</italic> will provide a measure of the sensitivity of the radiative response to the choice of SST and SIC boundary conditions. (Note however that the HadISST1 and AMIP II datasets are not completely independent: AMIP II uses HadISST1 SST and SIC before 1981, with some post-processing to match the 1971–2000 climatology of the Optimum Interpolation v2 dataset <xref ref-type="bibr" rid="bib1.bibx101" id="paren.78"/> used from November 1981 onwards.) Previous studies have highlighted a substantial dependence of the radiative response on the SST dataset for certain historical periods, although most studies were based on single GCMs <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx78 bib1.bibx41" id="paren.79"/>.</p>
      <p id="d2e1800">Although the AFT request is for a single <italic>amip-piForcing</italic> realisation, we encourage modelling groups to perform a minimum of three realisations with perturbed initial conditions (and for each of the two sets of SST/SIC boundary conditions), as this will permit a more accurate characterisation of the time-varying historical climate feedback. Simulation output should be archived using different forcing indices corresponding to different boundary conditions; we request <italic>f1</italic> for AMIP II and <italic>f2</italic> for HadISST1. We therefore request a total of six <italic>amip-piForcing</italic> variants: <italic>r1i1p1f1</italic> to <italic>r3i1p1f1</italic> for AMIP II SST and SIC, and <italic>r1i1p1f2</italic> to <italic>r3i1p1f2</italic> for HadISST1. The HadISST1 SST and SIC monthly-mean boundary conditions have been processed to ensure adequate sampling of the seasonal cycle according to the method of <xref ref-type="bibr" rid="bib1.bibx126" id="text.80"/>.</p>
      <p id="d2e1831">Note that a new version of HadISST SST, HadISST2, is due to be released soon and will be used in the CERESMIP protocol <xref ref-type="bibr" rid="bib1.bibx116" id="paren.81"/>. Once published on input4MIPs, we encourage modelling centres participating in CFMIP to perform a third set of <italic>amip-piForcing</italic> simulations with HadISST2 SST and SIC, using the forcing variant <italic>f3</italic>. This will facilitate comparisons between CERESMIP <italic>amip</italic> simulations and CFMIP <italic>amip-piForcing</italic> simulations.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title><italic>amip-p4k</italic>, <italic>amip-m4k</italic></title>
      <p id="d2e1862">Experiments <italic>amip-p4k</italic> and <italic>amip-m4k</italic> follow the <italic>amip</italic> protocol, except that SSTs are uniformly increased or decreased by 4 K over ice-free regions; SIC and SSTs under sea-ice remain unchanged, with SSTs at the freezing point. <italic>amip-p4k</italic> was adopted into the AFT for the diagnosis of climate feedback. As an atmosphere-only experiment, it is relatively low-cost, and furthermore the use of prescribed SSTs ensures that cloud feedback can be robustly estimated even from short simulations <xref ref-type="bibr" rid="bib1.bibx95" id="paren.82"/>. This makes the protocol highly suitable for high-resolution models, e.g. the <italic>highresSST-p4kuni</italic> experiment of HighResMIP <xref ref-type="bibr" rid="bib1.bibx106" id="paren.83"/> or the superparameterised simulations of <xref ref-type="bibr" rid="bib1.bibx91" id="text.84"/>.</p>
      <p id="d2e1890">Moreover, comparing between <italic>amip-p4k</italic> and <italic>amip-m4k</italic> responses provides an estimate of feedback state-dependence with SST patterns held fixed, thus isolating the role of global temperature changes for climate feedback <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx105" id="paren.85"/>. This is complementary to estimates based on coupled abrupt CO<sub>2</sub> forcing experiments, which additionally include effects from changing SST patterns.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <label>3.2.4</label><title><italic>amip-p4k-rad</italic>, <italic>amip-p4k-turb</italic></title>
      <p id="d2e1924">The two experiments <italic>amip-p4k-rad</italic> and <italic>amip-p4k-turb</italic>, new to CFMIP4, aim to provide a better understanding of low-cloud feedback mechanisms. The idea behind the experiments, introduced by <xref ref-type="bibr" rid="bib1.bibx89" id="text.86"/>, is that uniform SST warming modifies the atmosphere via two causal pathways: first by increasing upwelling longwave radiation from the sea surface, and second by changing turbulent transport at the air-sea interface, particularly latent and sensible heat fluxes. The experiments isolate the impact of each of these two pathways on low-cloud feedback, motivated by previously hypothesized mechanisms involving changes in surface turbulent fluxes <xref ref-type="bibr" rid="bib1.bibx104" id="paren.87"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e1941">Following <xref ref-type="bibr" rid="bib1.bibx89" id="text.88"/>, <italic>amip-p4k-rad</italic> is run exactly as <italic>amip</italic> but a 4-K anomaly is added (over ocean regions only) to the SST used in the radiation code for the calculation of surface upwelling longwave radiation. For <italic>amip-p4k-turb</italic>, the protocol again follows <italic>amip</italic> but a 4-K anomaly is added to the SST seen by the model's surface turbulent exchange scheme only. We recommend perturbing sensible and latent heat fluxes only, and keeping any other turbulent fluxes (e.g. of momentum or aerosols) unperturbed. Test simulations indicate that perturbing momentum or aerosol fluxes has very little impact on low-cloud properties (T. Ogura, personal communication, 2026).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title><italic>piClim-deltaSST</italic></title>
      <p id="d2e1971">In previous CFMIP protocols, experiment <italic>amip-future4K</italic> (or <italic>amipFuture</italic> in CMIP5) served to assess the global climate response to patterned warming, with the warming pattern taken from the model-mean response in CMIP3 <italic>1pctCO2</italic> simulations <xref ref-type="bibr" rid="bib1.bibx135" id="paren.89"/>. Being calculated from a model mean, the <italic>amip-future4K</italic> warming pattern was muted and underestimated the amplitude of SST anomaly patterns found in individual models. Furthermore, the use of the <italic>1pctCO2</italic> experiment meant the pattern combined fast and slow timescales of the climate response to CO<sub>2</sub> forcing <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx3 bib1.bibx94 bib1.bibx22" id="paren.90"/>. Because of these issues, <italic>amip-future4K</italic> proved to be of limited use to interpret the CO<sub>2</sub>-forced pattern effect in individual climate models.</p>
      <p id="d2e2017">In CFMIP4, we replace <italic>amip-future4K</italic> by the new experiment <italic>piClim-deltaSST</italic>, whose aim is to represent the climate response to <italic>model-specific</italic> CO<sub>2</sub>-forced SST change. Thus, instead of a single model-mean SST pattern, <italic>piClim-deltaSST</italic> uses SST anomalies from individual CMIP6 GCMs forced with abrupt CO<sub>2</sub> quadrupling (calculated relative to the corresponding <italic>piControl</italic> monthly climatology, taken from the contemporaneous period). The chosen GCMs are CanESM5, CESM2, CNRM-ESM2-1, GFDL-CM4, HadGEM3-GC31-LL, MIROC6, and NorESM2-LM. They are selected for their diverse representation of the pattern effect, as measured by the cloud-radiative effect (CRE) feedback simulated in <italic>piClim-deltaSST</italic> test simulations with the HadAM3 atmosphere-only model (J. M. Gregory, personal communication, 2026), and furthermore these GCMs come from different modelling groups. We use the first 20 years of these GCMs' integrations to calculate a set of monthly time-varying SST anomaly fields, <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">SST</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M56" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> is location, <inline-formula><mml:math id="M57" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is time (in months), and subscript <inline-formula><mml:math id="M58" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> refers to one of the seven GCMs listed above.</p>
      <p id="d2e2102">Modelling centres are requested to perform this experiment following the <italic>piClim-control</italic> protocol, but with the following modifications: <list list-type="bullet"><list-item>
      <p id="d2e2110">The monthly time-varying SST anomaly fields <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mtext>SST</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> should be added to the <italic>piClim-control</italic> SST monthly climatology. SIC is kept to the <italic>piClim-control</italic> climatology. SSTs should be kept to freezing (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> °C) wherever SIC is greater than zero, or wherever the <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mtext>SST</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> anomaly takes SST to below freezing.</p></list-item><list-item>
      <p id="d2e2176">The simulations should be run for 20 years, i.e. the time range of the <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula> datasets.</p></list-item><list-item>
      <p id="d2e2190">The simulations with different SST anomaly fields should be saved under different forcing indices (<italic>f1</italic> to <italic>f7</italic>), in alphabetical order of the GCMs used to derive the SST anomaly fields. The recommended forcing indices are provided as part of the filenames of the input datasets (available on <ext-link xlink:href="https://doi.org/10.5281/zenodo.21164517" ext-link-type="DOI">10.5281/zenodo.21164517</ext-link> <xref ref-type="bibr" rid="bib1.bibx25" id="paren.91"/>, pending final publication on the Earth System Grid Federation).</p></list-item></list></p>
      <p id="d2e2206">Note that, by keeping SIC fixed to the control climatology, <italic>piClim-deltaSST</italic> excludes effects associated with changes in the pattern of SIC <xref ref-type="bibr" rid="bib1.bibx150" id="paren.92"/>.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title><italic>piSST</italic> and <italic>a4SSTice</italic> time-slice experiments</title>
      <p id="d2e2229">This set of three atmosphere-only experiments provides a decomposition of the <italic>abrupt-4xCO2</italic> climate response into three main components: direct CO<sub>2</sub> effect; response to uniform SST increase; and response to SST pattern and sea-ice change. The science focus of these experiments is the coupled response of clouds, circulation and precipitation to CO<sub>2</sub> forcing in GCMs. To adequately resolve regional features of circulation and precipitation (and their variability), the experiments here use monthly time-varying SST and SIC fields. This is a key difference from the setup of the <italic>piClim</italic> experiments.</p>
      <p id="d2e2256">The three experiments are set up as follows: <list list-type="bullet"><list-item>
      <p id="d2e2261"><italic><bold>piSST-pxK</bold></italic> uses monthly time-varying SST, SIC and atmospheric constituents from 30 years of each model's own <italic>piControl</italic> run, with SSTs uniformly increased by <inline-formula><mml:math id="M65" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> K in ice-free regions, where <inline-formula><mml:math id="M66" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> is the global, climatological annual-mean ice-free SST change between years 111–140 of <italic>abrupt-4xCO2</italic> and <italic>piControl</italic>. The 30 years should be chosen to be parallel to years 111–140 of the <italic>abrupt-4xCO2</italic> run.</p></list-item><list-item>
      <p id="d2e2295"><italic><bold>a4SSTice</bold></italic> uses monthly time-varying SST and SIC from years 111–140 of each model's own <italic>abrupt-4xCO2</italic> run, but keeping atmospheric constituents to pre-industrial levels.</p></list-item><list-item>
      <p id="d2e2305"><italic><bold>a4SSTice-4xCO2</bold></italic> is set up like <italic>a4SSTice</italic>, but CO<sub>2</sub> concentration is quadrupled.</p></list-item></list></p>
      <p id="d2e2323">Unlike in the previous iteration of CFMIP, there is no <italic>piSST</italic> experiment with SST and SIC taken directly from <italic>piControl</italic>. This is because the <italic>piSST</italic> and <italic>piControl</italic> climates are sufficiently identical that <italic>piControl</italic> can be used as a reference for comparison with the atmosphere-only simulations with perturbed SST, SIC and/or CO<sub>2</sub> concentration.</p>
      <p id="d2e2352">Differences between experiment pairs can be interpreted as follows: <list list-type="bullet"><list-item>
      <p id="d2e2357"><bold><italic>a4SSTice-4xCO2</italic> minus <italic>piControl</italic></bold> can be compared with the climate response simulated in years 111–140 of <italic>abrupt-4xCO2</italic> relative to <italic>piControl</italic>, to confirm that the atmosphere-only framework can adequately replicate coupled GCM responses. A previous analysis suggests that this is generally the case <xref ref-type="bibr" rid="bib1.bibx28" id="paren.93"/>.</p></list-item><list-item>
      <p id="d2e2376"><bold><italic>piSST-pxK</italic> minus <italic>piControl</italic></bold> provides the response to uniform SST increase.</p></list-item><list-item>
      <p id="d2e2386"><bold><italic>a4SSTice</italic> minus <italic>piSST-pxK</italic></bold> provides the response to the (zero-mean) pattern of SST change and the change in SIC.</p></list-item><list-item>
      <p id="d2e2396"><bold><italic>a4SSTice-4xCO2</italic> minus <italic>a4SSTice</italic></bold> provides the direct CO<sub>2</sub> effect, including the plant physiological response.</p></list-item></list></p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>CFMIP4 data request</title>
      <p id="d2e2424">The CMIP7 data request is structured into groups of scientific objectives referred to as “Opportunities”, two of which are related to CFMIP. Together, the data requested in these two opportunities includes all fields requested in CFMIP-3, augmented by several new fields. The first is the <italic>Clouds, circulation and climate sensitivity: baseline</italic> opportunity, which is intended to capture the base set of variables essential for performing analyses to answer the key CFMIP questions listed in Sect. 2. The data requested include the Baseline Climate Variables <xref ref-type="bibr" rid="bib1.bibx61" id="paren.94"/>, monthly-mean 2D and 3D fields, daily-mean 2D fields, and fixed fields. These data are requested from the 10 DECK experiments in addition to the suite of CFMIP experiments listed in Table 1.</p>
      <p id="d2e2433">Supplementing this is a second opportunity, <italic>Clouds, circulation and climate sensitivity: extension for process-level studies</italic>, which is intended to capture variables crucial for advanced diagnosis and evaluation of cloud, radiation, and precipitation processes in the present-day and warmed climate. In addition to requesting the same variables as the baseline opportunity, this opportunity requests daily-mean 3D fields; sub-hourly instantaneous fields at specified “cfSites” locations; additional output from the CFMIP Observation Simulator Package <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx124" id="paren.95"><named-content content-type="pre">COSP;</named-content></xref>; and monthly climatologies of hourly-resolved top-of-atmosphere (TOA) fluxes. The variables included here also ensure that CFMIP experiment output can be more directly compared with global satellite observations and field campaign data. Furthermore, cfSites output can be used to provide large-scale forcings for regional process-resolving model experiments, for example with single-column models <xref ref-type="bibr" rid="bib1.bibx34" id="paren.96"/> or large-eddy simulations <xref ref-type="bibr" rid="bib1.bibx118" id="paren.97"/>.</p>
      <p id="d2e2450">Five new cfSites locations have been added to the request since CFMIP-3, corresponding to locations of field campaigns and surface-based observational facilities <xref ref-type="bibr" rid="bib1.bibx134" id="paren.98"/>. Several new COSP outputs are requested, including phase-separated cloud fraction histograms produced by the MODIS simulator, which are useful for diagnosing cloud phase feedbacks (Wall et al., 2025). Some of these COSP variables are only produced by COSP version 2 <xref ref-type="bibr" rid="bib1.bibx124" id="paren.99"/>, but either COSP version can be used to contribute to CFMIP. To keep the data volume reasonable, this second opportunity is applicable only to a subset of five experiments (<italic>amip</italic>, <italic>amip-p4k</italic>, <italic>amip-m4k</italic>, <italic>amip-p4k-rad</italic>, and <italic>amip-p4k-turb</italic>) rather than for the full suite of experiments in Table 1.</p>
      <p id="d2e2475">Producing data from these two opportunities across a large collection of climate models will allow major progress across the topics of interest to the CFMIP community by facilitating advanced diagnosis and understanding of cloud processes, feedbacks, adjustments, and biases.  Additional information about the CFMIP data request and how it fits into the broader CMIP7 data request can be found in <xref ref-type="bibr" rid="bib1.bibx35" id="text.100"/>. The data request database is currently hosted on the Airtable cloud platform (<uri>https://bit.ly/CMIP-DR-Opportunities</uri>, last access: 8 September 2026, Opportunity IDs 78–79).</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e2492">The growing climate change signal means that understanding cloud processes and their impact on Earth's energy imbalance is a critical challenge for the research community. CFMIP plays a central role in this endeavour, by supporting CMIP7 and its Assessment Fast Track with a set of experiments aimed at understanding cloud-radiative processes under past, present and future climate. The CFMIP protocol is also key to understanding the mechanisms of the “SST pattern effect”, one of four fundamental science questions underpinning CMIP7 activities <xref ref-type="bibr" rid="bib1.bibx38" id="paren.101"/>.</p>
      <p id="d2e2498">The scope of CFMIP extends beyond pure cloud processes: the CFMIP4 science questions and experimental protocol support improved understanding of climate feedback processes, coupled climate variability and change, atmosphere and ocean circulation, and precipitation. The CFMIP science community actively collaborates on these topics, particularly through its annual meeting. We invite interested members of the climate research community to engage with CFMIP through membership of the mailing list (<uri>https://groups.google.com/g/cfmip_all/</uri>, last access: 8 September 2026) and attendance at the CFMIP annual meeting.</p>
      <p id="d2e2504">CFMIP science questions are highly complementary to other CMIP-related initiatives. In particular, the Radiative Forcing Model Intercomparison Project <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx69" id="paren.102"><named-content content-type="pre">RFMIP;</named-content></xref> provides experiments supporting the diagnosis and process understanding of radiative forcing and thus climate sensitivity. Furthermore, the Regional Aerosol Model Intercomparison Project <xref ref-type="bibr" rid="bib1.bibx137" id="paren.103"><named-content content-type="pre">RAMIP;</named-content></xref> and the Aerosol and Chemistry Model Intercomparison Project <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx42" id="paren.104"><named-content content-type="pre">AerChemMIP;</named-content></xref> support the understanding of aerosol processes, including their interaction with clouds. CFMIP experiments and output variables also support the aim of assessing aerosol processes, for example through the use of satellite simulator output <xref ref-type="bibr" rid="bib1.bibx131" id="paren.105"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e2527">Beyond the protocol outlined here, CFMIP also supports informal experiments and model intercomparison projects (MIPs) related to the aims of CFMIP. This includes for example the Radiative-Convective Equilibrium Model Intercomparison Project <xref ref-type="bibr" rid="bib1.bibx140 bib1.bibx141" id="paren.106"><named-content content-type="pre">RCEMIP;</named-content></xref>, the Extratropical–Tropical Interaction Model Intercomparison Project <xref ref-type="bibr" rid="bib1.bibx62" id="paren.107"><named-content content-type="pre">ETIN-MIP;</named-content></xref>, or the Green's Function Model Intercomparison Project <xref ref-type="bibr" rid="bib1.bibx10" id="paren.108"><named-content content-type="pre">GFMIP;</named-content></xref>. An up-to-date list of supported informal experiments is available at <uri>https://www.cfmip.org/experiments/informal-experiments</uri> (last access: 8 September 2026), and the CFMIP committee welcomes additional informal experiment proposals.</p>
</sec>

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

      <p id="d2e2552">No code or data has been used or is necessary to replicate the work here presented.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2558">PC, ABS, MJW and MDZ jointly designed the protocol, with input from co-authors. PC led the writing of the paper. MDZ led the writing of Sect. 4. AZD processed and uploaded the SST and sea-ice boundary condition files for CFMIP4. All co-authors commented on and edited the draft.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2564">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="d2e2570">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. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e2576">We acknowledge the World Climate Research Programme's Working Group on Coupled Modelling, which is responsible for CMIP, and we thank the climate modelling groups for producing and making available their model output. We also thank the Earth System Grid Federation (ESGF) for archiving the model output and providing access, and we thank the multiple funding agencies who support CMIP and ESGF.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2581">PC was supported by UK Research and Innovation (UKRI) under the UK government's Horizon Europe funding Guarantee (grant EP/Y036123/1). PC was additionally supported through UK Natural Environmental Research Council (NERC) grants NE/V012045/1 and NE/T006250/1. MJW, ABS and TA were supported by the Met Office Hadley Centre Climate Programme funded by DSIT. The effort of MDZ was supported by the US Department of Energy (DOE) Regional and Global Model Analysis program area and was performed under the auspices of the DOE by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344. FB acknowledges the financial support of grant MOBYDYC ANR-22-CE01-0005. AAW is supported by US National Science Foundation (NSF) Grant AGS-2140419. YTH was supported by the National Science and Technology Council, R.O.C. (112-2111-M-002-016-MY4).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2587">This paper was edited by Xianan Jiang and reviewed by Andrew Gettelman, Bjorn Stevens, and two anonymous referees.</p>
  </notes><ref-list>
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