<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<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="research-article">
  <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-19-6941-2026</article-id><title-group><article-title>The TIPMIP Earth system model experiment protocol: phase 1</article-title><alt-title>The TIPMIP Earth system model experiment protocol: phase 1</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Jones</surname><given-names>Colin</given-names></name>
          <email>colin.jones@metoffice.gov.uk</email>
        <ext-link>https://orcid.org/0000-0002-7221-8127</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bossert</surname><given-names>Isaline</given-names></name>
          
        <ext-link>https://orcid.org/0009-0002-5449-159X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Dennis</surname><given-names>Donovan P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5423-7703</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Jeffery</surname><given-names>Hazel A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2553-9953</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Jones</surname><given-names>Chris D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7141-9285</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7 aff8">
          <name><surname>Koenigk</surname><given-names>Torben</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2051-743X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Loriani</surname><given-names>Sina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6660-960X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Sanderson</surname><given-names>Benjamin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8635-4624</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Séférian</surname><given-names>Roland</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2571-2114</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7 aff10">
          <name><surname>Wyser</surname><given-names>Klaus</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9752-3454</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Yang</surname><given-names>Shuting</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0147-2056</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Abe</surname><given-names>Manabu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4822-3321</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13 aff14">
          <name><surname>Bathiany</surname><given-names>Sebastian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9904-1619</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Braconnot</surname><given-names>Pascale</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1852-9178</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff16 aff17">
          <name><surname>Brovkin</surname><given-names>Victor</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6420-3198</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff18 aff19">
          <name><surname>Burger</surname><given-names>Friedrich A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7781-8498</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff20">
          <name><surname>Cadule</surname><given-names>Patrica</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4830-5802</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff21">
          <name><surname>Castruccio</surname><given-names>Frederic S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff21">
          <name><surname>Danabasoglu</surname><given-names>Gokhan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4676-2732</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff22">
          <name><surname>Dittus</surname><given-names>Andrea</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9598-6869</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff23 aff24">
          <name><surname>Donges</surname><given-names>Jonathan F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5233-7703</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff25 aff26">
          <name><surname>Fröb</surname><given-names>Friederike</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2516-1682</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff18 aff19">
          <name><surname>Frölicher</surname><given-names>Thomas L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff16">
          <name><surname>Georgievski</surname><given-names>Goran</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4393-3647</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Guo</surname><given-names>Chuncheng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6276-6499</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff27">
          <name><surname>Hu</surname><given-names>Aixue</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1337-287X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff27">
          <name><surname>Lawrence</surname><given-names>Peter</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff28 aff29">
          <name><surname>Lerner</surname><given-names>Paul</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Licón-Saláiz</surname><given-names>José</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8733-2256</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff27">
          <name><surname>Otto-Bliesner</surname><given-names>Bette</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1911-1598</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff29 aff28">
          <name><surname>Romanou</surname><given-names>Anastasia</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5241-4772</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff30">
          <name><surname>Shevliakova</surname><given-names>Elena</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff18 aff19">
          <name><surname>Silvy</surname><given-names>Yona</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7082-7375</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff31">
          <name><surname>Swingedouw</surname><given-names>Didier</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0583-0850</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff32">
          <name><surname>Tjiputra</surname><given-names>Jerry</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4600-2453</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Walton</surname><given-names>Jeremy</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7372-178X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff33">
          <name><surname>Wiltshire</surname><given-names>Andy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff3">
          <name><surname>Winkelmann</surname><given-names>Ricarda</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1248-3217</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Wood</surname><given-names>Richard</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3960-9513</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff34">
          <name><surname>Yokohata</surname><given-names>Tokuta</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7346-7988</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff35">
          <name><surname>Ziehn</surname><given-names>Tilo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9873-9775</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>National Centre for Atmospheric Science, University of Leeds, Leeds, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>CNRM, Université de Toulouse, Météo-France, CNRS, Toulouse, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Earth Resilience Science Unit, Potsdam Institute for Climate Impact Research, Member of the Leibniz Association, Potsdam, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Max Planck Institute of Geoanthropology, Jena, Germany</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Met Office Hadley Centre, Exeter, UK</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>School of Geographical Sciences, University of Bristol, Bristol, UK</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Swedish Meteorological and Hydrological Institute, Norrköping, Sweden</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Bolin Centre for Climate Research, Stockholm University, Stockholm, Sweden</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>CICERO, Oslo, Norway</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>MERGE, Lund University, Lund, Sweden</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>National Centre for Climate Research, Danish Meteorological Institute, Copenhagen, Denmark</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>Research Institute for Global Change, Japan Agency for Marine-Earth Science and Technology, Yokohama, Japan</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Department of Earth System Modeling, School of Engineering and Design, Technical University of Munich, Munich, Germany</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>Potsdam Institute for Climate Impact Research, Member of the Leibniz Association, Potsdam, Germany</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Laboratoire des Sciences du Climat et de l'Environnement, Institut Pierre-Simon Laplace, CNRS, CEA, Université de Versailles Saint-Quentin-en-Yvelines, Université Paris-Saclay, Gif-sur-Yvette, France</institution>
        </aff>
        <aff id="aff16"><label>16</label><institution>Max Planck Institute for Meteorology, Hamburg, Germany</institution>
        </aff>
        <aff id="aff17"><label>17</label><institution>Center for Earth System Research and Sustainability, University of Hamburg, Hamburg, Germany</institution>
        </aff>
        <aff id="aff18"><label>18</label><institution>Climate and Environmental Physics, University of Bern, Bern, Switzerland</institution>
        </aff>
        <aff id="aff19"><label>19</label><institution>Oeschger Centre for Climate Change Research, University of Bern, Bern, Switzerland</institution>
        </aff>
        <aff id="aff20"><label>20</label><institution>LMD-IPSL, CNRS, Ecole normale supérieure/PSL, Sorbonne Université, Ecole Polytechnique, Paris, France</institution>
        </aff>
        <aff id="aff21"><label>21</label><institution>US National Science Foundation National Center for Atmospheric Research, Boulder, USA</institution>
        </aff>
        <aff id="aff22"><label>22</label><institution>National Centre for Atmospheric Science, Department of Meteorology, University of Reading, Reading, UK</institution>
        </aff>
        <aff id="aff23"><label>23</label><institution>Department of Integrative Earth System Science, Max Planck Institute of Geoanthropology, Jena, Germany</institution>
        </aff>
        <aff id="aff24"><label>24</label><institution>Stockholm Resilience Centre, Stockholm University, Stockholm, Sweden</institution>
        </aff>
        <aff id="aff25"><label>25</label><institution>Geophysical Institute, University of Bergen, Bergen, Norway</institution>
        </aff>
        <aff id="aff26"><label>26</label><institution>Bjerknes Centre for Climate Research, Bergen, Norway</institution>
        </aff>
        <aff id="aff27"><label>27</label><institution>US National Science Foundation, National Center for Atmospheric Research, Boulder, USA</institution>
        </aff>
        <aff id="aff28"><label>28</label><institution>Department of Applied Physics and Applied Mathematics, Columbia University, New York, USA</institution>
        </aff>
        <aff id="aff29"><label>29</label><institution>NASA-Goddard Institute for Space Studies, New York, USA</institution>
        </aff>
        <aff id="aff30"><label>30</label><institution>National Oceanic and Atmospheric Administration, Geophysical Fluid Dynamic Laboratory, Princeton, USA</institution>
        </aff>
        <aff id="aff31"><label>31</label><institution>Environnements et Paléoenvironnements Océaniques et Continentaux (EPOC), Université de Bordeaux, CNRS, Bordeaux, France</institution>
        </aff>
        <aff id="aff32"><label>32</label><institution>NORCE Research AS, Bjerknes Centre for Climate Research, Bergen, Norway</institution>
        </aff>
        <aff id="aff33"><label>33</label><institution>Global Systems Institute, University of Exeter, Exeter, UK</institution>
        </aff>
        <aff id="aff34"><label>34</label><institution>Earth System Division, National Institute for Environmental Studies, Tsukuba, Japan</institution>
        </aff>
        <aff id="aff35"><label>35</label><institution>CSIRO Environment, Aspendale, Australia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Colin Jones (colin.jones@metoffice.gov.uk)</corresp></author-notes><pub-date><day>29</day><month>July</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>14</issue>
      <fpage>6941</fpage><lpage>6966</lpage>
      <history>
        <date date-type="received"><day>25</day><month>July</month><year>2025</year></date>
           <date date-type="rev-request"><day>23</day><month>September</month><year>2025</year></date>
           <date date-type="rev-recd"><day>5</day><month>May</month><year>2026</year></date>
           <date date-type="accepted"><day>25</day><month>June</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Colin Jones 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/19/6941/2026/gmd-19-6941-2026.html">This article is available from https://gmd.copernicus.org/articles/19/6941/2026/gmd-19-6941-2026.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/19/6941/2026/gmd-19-6941-2026.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/19/6941/2026/gmd-19-6941-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e694">We describe a new Earth system model (ESM) experiment protocol, as part of the international Tipping Points Modelling Intercomparison Project (TIPMIP) project. We propose this as a protocol for the Coupled Model Intercomparison Project 7 (CMIP7). The protocol requires ESMs to run in <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission mode, with atmospheric <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> a predicted variable. Forcing for the protocol consists solely of a constant emission of <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, based on each model's transient climate response to cumulative emissions of carbon dioxide (TCRE) value, to give a common global mean surface warming rate of 2 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century. This positive emission (ramp-up) experiment is started from the pre-industrial state of a given model. When the ramp-up run first exceeds a specified level of global warming (2 and 4 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) relative to the model's pre-industrial global mean surface air temperature (GMSAT), <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are set to zero and the positive emission run is branched into a zero-emission run. The zero-emission runs continue for 300 years. 50 years into each zero-emission run, <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are set to the negative of the positive emission rate and the model run until GMSAT cools below the original pre-industrial value. Additionally, when the negative emission run started from the global warming level <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mtext>GWL</mml:mtext><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> first drops below <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, a zero-emission run is branched off this, completing the set of experiments. Using this protocol, we are able to control the rate of global warming, and potentially also the rate of cooling, across participating models. TIPMIP experiments will support a range of analyses, including; an assessment of abrupt/rapid Earth system change under net zero <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions at a range of global warming levels, the long-term Earth system response to net zero <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions at these warming levels, the response to net negative <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions and the efficacy of negative emissions to drive cooling, and the reversibility of Earth system change under a pathway of positive (warming), zero, and negative (cooling) <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>UK Research and Innovation</funding-source>
<award-id>NE/W004895/1</award-id>
</award-group>
<award-group id="gs2">
<funding-source>European Commission</funding-source>
<award-id>101003536</award-id>
</award-group>
<award-group id="gs3">
<funding-source>European Commission</funding-source>
<award-id>101081193</award-id>
<award-id>10103098</award-id>
<award-id>10043072</award-id>
<award-id>101137673</award-id>
<award-id>101137601</award-id>
<award-id>101060452</award-id>
<award-id>101083922</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Department for Science, Innovation and Technology</funding-source>
<award-id>Met Office Hadley Centre</award-id>
</award-group>
<award-group id="gs5">
<funding-source>European Research Council</funding-source>
<award-id>951288</award-id>
</award-group>
<award-group id="gs6">
<funding-source>Norges Forskningsråd</funding-source>
<award-id>334811</award-id>
<award-id>352142</award-id>
</award-group>
<award-group id="gs7">
<funding-source>Ministry of Education, Culture, Sports, Science and Technology</funding-source>
<award-id>JPMXD0722681344</award-id>
</award-group>
<award-group id="gs8">
<funding-source>Australian Government</funding-source>
<award-id>NESP</award-id>
</award-group>
<award-group id="gs9">
<funding-source>Bundesministerium für Forschung, Technologie und Raumfahrt</funding-source>
<award-id>03F0931F</award-id>
</award-group>
<award-group id="gs10">
<funding-source>National Science Foundation</funding-source>
<award-id>1852977</award-id>
</award-group>
<award-group id="gs11">
<funding-source>Biological and Environmental Research</funding-source>
<award-id>DE-SC0022070</award-id>
</award-group>
<award-group id="gs12">
<funding-source>National Aeronautics and Space Administration</funding-source>
<award-id>N3-MAP23-0018</award-id>
<award-id>NNH23ZDA001N-MAP</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="d2e867">We describe the Tier 1 experiment protocol to be followed by coupled Earth system models (ESMs) contributing to the Tipping Points Modelling Intercomparison Project (TIPMIP) (Winkelmann et al., 2025). This protocol (termed TIPMIP ESM Tier 1) has been designed as a simple (idealized) way to intercompare ESM simulations forced sequentially by positive, zero, and negative carbon dioxide (<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) emissions. The protocol controls the rate of increase in global mean surface air temperature (GMSAT, referred to here as <italic>the rate of global warming</italic>) across ESMs during the positive emission phase, with a rate of <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century chosen to approximate the observed global warming rate over the past <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> years. The protocol ensures ESMs branch from positive to zero <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions at the same GWL, after the same rate and duration of warming. Finally, models branch into net negative <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission pathways (<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> removed from the atmosphere, at a rate mirroring the positive emission rate used in each model) after a common time period under zero emissions.</p>
      <p id="d2e948">There is increasing interest in global warming overshoot scenarios (i.e.  temporary exceedance of a global warming target that is returned to at some later date, Schleussner et al., 2024; Reisinger et al., 2025) and in the long-term response of the Earth system to net zero <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions at temperatures warmer than today (Allen et al., 2022; Fankhauser et al., 2022). Key outstanding questions include, the likelihood, timing, and magnitude of overshoot, the consequences arising from such an overshoot, the feasibility of cooling the planet back from a peak warming to a (stabilized) target level, the potential for hysteresis once a stabilized climate is achieved, and the long-term response of the Earth system to net-zero emissions at temperatures warmer than today.</p>
      <p id="d2e962">Our protocol lends itself to addressing a number of these questions. Areas of particular interest include (i) the risks and consequences of triggering Earth system tipping points (Winkelmann et al., 2025), (ii) residual warming and global to regional Earth system change under long-term zero emissions at different GWLs i.e. the zero emission commitment (ZEC) (Jones et al., 2019), (iii) the overall efficacy of negative <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in driving global cooling, including regional patterns of this cooling, and (iv) the reversibility of any induced changes following a net negative <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission pathway.</p>
      <p id="d2e987">The protocol assumes ESMs are run in <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission mode, meaning atmospheric <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are a predicted model variable, dependent on the prescribed emissions and the response of each model's carbon cycle. Such an approach allows a more complete simulation and analysis of the coupled climate–carbon cycle response to positive, zero, and negative <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. An effort to develop an analogous experiment protocol for models run in (prescribed) <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-concentration mode is underway and will be reported in a subsequent paper. This ESM protocol will be complemented by related experiments in TIPMIP (Winkelmann et al., 2025) using standalone, domain-specific models such as land-vegetation models, ocean models, and ice sheet models forced by output from these ESM experiments.</p>
      <p id="d2e1035">TIPMIP ESM experiments began as part of CMIP6plus (an extension to CMIP6 after the formal project had closed). This paper describes the experiment protocol in detail as preparation for participation in CMIP7 (Dunne et al., 2025). 38 MIPs have so far registered to take part in CMIP7, with the full list available at WCRP: <uri>https://wcrp-cmip.org/mips/#registered-mips</uri> (last access: 9 February 2026). TIPMIP has some commonality, and potential for collaboration with a number of CMIP7 MIPs, including C4MIP, CDRMIP, AERA-MIP (Silvy et al., 2024), as well as ScenarioMIP (van Vuuren et al., 2026) and the flat10MIP experiments (Sanderson et al., 2025) that are part of the CMIP7 Assessment Fast Track (Dunne et al., 2025). We discuss areas of potential collaboration with these MIPs in Sect. 3.4. An important feature of TIPMIP is that global warming in the positive emission (ramp-up) phase is common across models, Models branch into net zero emission runs after a common duration and rate of global warming, at the same GWL. Models run with zero emissions for a common time period (50 years) before switching to a negative emission (ramp-down) phase, with all models using the (negative) mirror image of the (ramp-up) positive emissions. Models are required to run in <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission mode, allowing us to assess the co-evolution of atmospheric <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and climate under net zero emissions at common starting GWLs. The protocol also allows an assessment of ZEC at different GWLs, over 300 (potentially 500) years. In addition, the protocol enables analysis of the efficacy of negative emissions to drive cooling, from different GWLs, when both the natural carbon cycle and climate are able to freely respond to the imposed changes in atmospheric <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (the prescribed negative emissions). The protocol is easily extendable to; (i) sample net zero emission responses at different GWLs (e.g. 1.5 or 3 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) started from existing ramp-up and ramp-down runs, (ii) sample the change in the rate of cooling and climate reversibility as a function of the prescribed negative emissions (e.g. <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> of the original rate), and (iii) the implications of a delay in the onset of negative emissions (global cooling) from a given net-zero (GWL) run. For example, starting negative emissions after 200 years of net zero emissions rather than 50 years. Many of the simulations needed to make these additional runs will have been completed in the Tier 1 set of experiments and the technical implementation of these extensions is trivial.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Terminology and definitions</title>
      <p id="d2e1117">Tipping points occur in the Earth system where positive feedback loops are strong enough to induce self-sustained and often rapidly increasing change beyond a critical threshold, which drives the system from one preferred (equilibrium) state to another, with potential – negative consequences for human societies and natural ecosystems (Lenton et al., 2008, 2023; van Nes et al., 2016; Armstrong McKay et al., 2022). The tipping point is the critical level of forcing (for example, <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, or deforested area) that initiates tipping dynamics, (e.g. maintained melt leading to collapse of (parts of) an ice sheet). Tipping can also be induced when the rate of change of forcing exceeds a critical value, or stochastic variability leads to the initiation of nonlinear positive feedbacks (“rate-induced” and “noise-induced” tipping, Chapman et al., 2024). The nonlinear nature of the tipping process has two important consequences: (i) the ensuing change is often abrupt with respect to the normal forcing of the system and/or rapid with respect to the typical timescales of the system, and (ii) the change is often associated with a strong hysteresis, i.e. is practically irreversible, at least on societally relevant timescales. For example, if, after a warming overshoot, much colder temperatures are required to regrow an ice sheet to its pre-tip size than the temperatures that led to its collapse (Garbe et al., 2020). Abruptness and irreversibility are often consequences of the strong positive feedback loops but not necessarily a defining criterion for a tipping point. More details on the definitions and associated key terminology related to tipping points can be found in the recent TIPMIP overview paper (Winkelmann et al., 2025, e.g. see their Box 1).</p>
      <p id="d2e1131">The TIPMIP ESM Tier 1 experiments focus on four primary “tipping elements” of the biophysical Earth system that have been shown to potentially exhibit tipping (or abrupt change) behaviour: (i) the Atlantic Meridional Overturning Circulation (AMOC), (ii) Greenland and Antarctic ice sheets, (iii) boreal and tropical forests, and (iv) (ground) permafrost. In addition, the TIPMIP experiments enable analysis of a wide range of other system responses, including, but not limited to, the North Atlantic subpolar gyre (SPG), sea ice systems, and modes of climate variability.</p>
      <p id="d2e1134">Previous theoretical (Stommel, 1961; Rooth, 1982) and modelling work (Swingedouw et al., 2007; Jackson et al., 2015; Liu et al., 2020) has demonstrated the capacity for, and consequences of, a collapse of the AMOC.  Using paleo-observations and modern sea surface temperature observations, Caesar et al. (2018, 2021) suggest the AMOC may have already entered a weakening phase, although significant uncertainty remains regarding the robustness and strength of such a weakening signal (e.g. Chen and Tung, 2018; Fraser and Cunningham, 2021; Kilbourne et al., 2022). Model projections also show a large spread in the future AMOC evolution, with the global warming level at which tipping may occur not well-constrained (Ben Yami et al., 2024). Studies also indicate susceptibility of the Greenland (Noël et al., 2021; Gregory et al., 2020; Robinson, et al., 2012), East Antarctic, and West Antarctic ice sheets and sub-glacial basins (Feldmann and Levermann, 2015; Garbe et al., 2020; Van Breedam et al., 2020) to irreversible decline beyond certain thresholds. Again, the thresholds for such behaviour are not well-constrained and thus formulating robust policy advice is difficult (Armstrong-McKay et al., 2022). Polar amplification has led to significant Arctic warming, as evidenced by rapid sea-ice loss (Taylor et al., 2022). Model projections indicate the first ice-free day in the Arctic could occur before 2030 (Heuzé and Jahn, 2024), with the potential to trigger tipping of multi-stressors affecting the marine ecosystem (Myksvoll et al., 2023; Heinze et al., 2021).</p>
      <p id="d2e1137">Dynamic global vegetation models (DGVMs), employed in coupled ESMs, have long demonstrated the capacity for rapid Amazon dieback (Cox et al., 2000; Good et al., 2011; Parry et al., 2022). A mounting body of work suggests the possibility of both climate and deforestation induced tipping, not only in the Amazon (Boers et al., 2017; Drijfhout et al., 2015; Lovejoy and Nobre, 2018), but also the boreal forest (Booth et al., 2012; Gerten et al., 2013; Koven, 2013). Similar studies show the potential susceptibility of permafrost systems to rapid, potentially irreversible change (Lenton, 2012), but stress that continued loss of permafrost with incremental warming means there is likely no “safe” level of warming for permafrost (Nitzbon et al., 2024). Furthermore, the trajectory followed to warming stabilization, characterized by the intensity and duration of warming overshoot, may lead to multiple steady states of high northern latitude soils, including carbon concentrations and fluxes, with potentially long-lasting effects after stabilization (de Vrese and Brovkin, 2021).</p>
      <p id="d2e1141">Considerable uncertainties remain around the critical forcing thresholds necessary to induce tipping, in particular the magnitude and duration of change, (Ritchie et al., 2025; Stocker and Schmittner, 1997). While there are increasing efforts to study tipping dynamics in offline, domain-specific models (Naughten et al., 2023; Bochow and Boers, 2023; Garbe et al., 2020), relatively few attempts have been made using coupled Earth system models, where dynamic feedbacks between Earth system components are explicitly modelled. While offline models are computationally less expensive, and in some cases offer more comprehensive treatment of individual tipping element dynamics, coupled ESMs are more likely to capture interactions between the phenomena at risk of tipping, as well as processes driving (or stabilizing) such a tipping risk. Coupled ESMs are also more suitable for investigating interactions between tipping elements (i.e. the risk of tipping cascades) and the broader climatic, environmental, and socio-economic consequences of tipping events (Wunderling et al., 2022; Franzke et al., 2022; Klose et al., 2020). This protocol is the first coordinated effort to investigate tipping point risks using coupled ESMs and responds to the concerns around tipping points risks in the future and the need for more research in this critical area (Ritchie et al., 2026; Lenton et al., 2025)</p>
      <p id="d2e1144">While the TIPMIP ESM Tier 1 protocol is focussed on coupled Earth system models, output from our simulations will be used across TIPMIP to force domain-specific models (e.g. ice-, ocean-, and land-only models) to study in detail domain-specific processes controlling the potential for tipping in these systems.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Experimental design: Tier 1 experiments</title>
      <p id="d2e1155">In this section we describe in detail the experiment protocol to be followed by contributing models. Figure 1 presents a schematic of the protocol and Box 1 summarizes the key assumptions underpinning the protocol. All experiments are to be run in <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission mode. The foundation of the protocol is a pre-industrial control simulation (esm_piControl). Once the esm_piControl is deemed sufficiently stable, a positive <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission (<italic>ramp-up</italic>) simulation is branched from the esm_piControl, with initial conditions taken from that run on 1 January of the selected year (defined as year A). The ramp-up run is forced by a positive global mean <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rate of <inline-formula><mml:math id="M38" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (equivalently <inline-formula><mml:math id="M40" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) where <inline-formula><mml:math id="M42" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> is diagnosed from the model's TCRE (transient climate response to cumulative emissions of carbon dioxide, Allen et al., 2009; Matthews et al., 2009) to give a global mean surface air temperature (GMSAT) warming rate of 2 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century.  The most accurate method to calculate TCRE is using the new flat10 experiment protocol (constant <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission of 10 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), as documented in Sanderson et al. (2025). If only a transient 1 % <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> run (1pctCO2) is available then we recommend the method of Arora et al. (2020, their Eq. 21 reproduced below) for calculating TCRE.

          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M47" display="block"><mml:mrow><mml:mtext>TCRE</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>E</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

        Where <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the Transient Climate Response (TCR), defined (for a given model) as the change in GMSAT relative to its pre-industrial value at the time atmospheric <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in a 1pctCO2 run (Eyring et al., 2016)  have doubled, occurring after 70 years. <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>E</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the cumulative carbon emissions at the time of <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> doubling in the same experiment. TCRE is expressed in units of <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per exagramme (1000 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi></mml:mrow></mml:math></inline-formula>) of carbon. As an example, assuming a model TCRE of 2.5 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per 1000 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, to realize a global warming rate of 2 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century implies a carbon emission rate of <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">800</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century or 8 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Because using the TCR approach may lead to slight deviations from the intended warming rate, this approach can be slightly modified (i.e. TCRE values slightly adjusted) to ensure a 2 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century warming rate. We recommend groups aim for a global warming rate of <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for the first century of the positive emission run. As the ramp-up run reaches higher warming levels there is a greater risk warming rates in some models deviate from the target rate. With respect to the geographical pattern of the positive <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, we suggest emitting with a pattern that mirrors that used for the CMIP6 historical <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (for example the pattern of emissions for the final year of the CMIP6 historical period, 2014), scaled to give the required TCRE-based emission rate.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1595">Schematic of the TIPMIP ESM phase 1, tier 1 experiment protocol.</p></caption>
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/6941/2026/gmd-19-6941-2026-f01.png"/>

      </fig>

      <p id="d2e1604">Apart from the introduction of positive <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, everything else in the ramp-up is unchanged from the esm_piControl. The esm_piControl should be extended for as long as required to parallel the longest ramp-up <inline-formula><mml:math id="M66" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> zero-emission <inline-formula><mml:math id="M67" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> ramp-down <inline-formula><mml:math id="M68" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> zero-emission run employed in the protocol. Details of these, and the recommended length of the esm_piControl, are provided below in Table 1.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1643">List of runs forming the TIPMIP ESM phase 1, tier 1 experiment protocol.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="80pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="90pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="60pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="115pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="60pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Simulation name</oasis:entry>
         <oasis:entry colname="col2" align="left">Warming Level start value</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left">Run length</oasis:entry>
         <oasis:entry colname="col5" align="left">Warming Level end value</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">esm_piControl</oasis:entry>
         <oasis:entry colname="col2" align="left">0 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left">0.0</oasis:entry>
         <oasis:entry colname="col4" align="left"><inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">700</mml:mn></mml:mrow></mml:math></inline-formula> years or as required to parallel experiments below</oasis:entry>
         <oasis:entry colname="col5" align="left">0 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">ramp-up</oasis:entry>
         <oasis:entry colname="col2" align="left">0 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left">until <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> years</oasis:entry>
         <oasis:entry colname="col5" align="left"><inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">zero-emission (from ramp-up)</oasis:entry>
         <oasis:entry colname="col2" align="left">2 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in ramp-up</oasis:entry>
         <oasis:entry colname="col3" align="left">0.0</oasis:entry>
         <oasis:entry colname="col4" align="left">300 years</oasis:entry>
         <oasis:entry colname="col5" align="left">undefined</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">ramp-down</oasis:entry>
         <oasis:entry colname="col2" align="left">50 years into 2 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ZE</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left">until <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5" align="left">0 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">zero-emission (from ramp-up)</oasis:entry>
         <oasis:entry colname="col2" align="left">4 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in ramp-up</oasis:entry>
         <oasis:entry colname="col3" align="left">0.0</oasis:entry>
         <oasis:entry colname="col4" align="left">300 years</oasis:entry>
         <oasis:entry colname="col5" align="left">undefined</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">ramp-down</oasis:entry>
         <oasis:entry colname="col2" align="left">50 years into 4 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ZE</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left">until <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5" align="left">0 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">zero-emission (from ramp-down)</oasis:entry>
         <oasis:entry colname="col2" align="left">2 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in ramp-down</oasis:entry>
         <oasis:entry colname="col3" align="left">0.0</oasis:entry>
         <oasis:entry colname="col4" align="left">300 years</oasis:entry>
         <oasis:entry colname="col5" align="left">undefined</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2064">When GMSAT in the ramp-up run first exceeds a value 2 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer than the esm_piControl (i.e. <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are set to zero and a <italic>zero-emission</italic> (ZE) run is branched off the ramp-up. The start date of the ZE run is defined by comparing a 31-year (centred) mean GMSAT, for each year of the ramp-up, to the 31-year mean GMSAT centred on the year in the esm_piControl from which the ramp-up started. The ZE run start date is defined as 1 January of the year directly after the first year <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> is diagnosed. The ZE simulation is run with <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions set to zero for a minimum of 300 years. 50 years into the ZE run (i.e. 1 January of year 51), a <italic>ramp-down</italic> run is branched, with <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions set to minus the value of the ramp-up run (i.e. <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The spatial pattern of negative emissions we leave to each modelling group to decide on, with two extreme options being (i) a mirror image of the pattern of positive emissions in the ramp-up or (ii) a spatially uniform pattern. This ramp-down run is continued until its 31-year mean GMSAT is less than the original 31-year mean centred on the year in the esm_piControl from which the original ramp-up started. At this point the ramp-down run can be stopped. Figure 1 illustrates this <italic>esm_piControl</italic> <inline-formula><mml:math id="M103" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> <italic>ramp-up</italic> <inline-formula><mml:math id="M104" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> <italic>zero-emission</italic> <inline-formula><mml:math id="M105" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> <italic>ramp-down</italic> procedure.</p>
      <p id="d2e2222">The original ramp-up run is continued until its GMSAT first exceeds 4 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer than the esm_piControl, calculated in the same way as for <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. At this year a second ZE run is branched off the ramp-up and run for 300 years. 50 years into this ZE run a <inline-formula><mml:math id="M108" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> negative emission ramp-down is started and run until its GMSAT value is less than the original esm_piControl value.  Finally, when the 31-year running mean GMSAT in the ramp-down, started from <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, first becomes colder than 2 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> above the original esm_piControl GMSAT, a second ZE run at <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> is branched off the ramp-down. This procedure is shown visually in Fig. 1. Box 1 summarizes the main assumptions underpinning the experiment protocol and Table 1 the various simulation steps.</p><fig id="Bo1" specific-use="star"><label>Box 1</label><caption><p id="d2e2330">Key assumptions and aims of the TIPMIP ESM  protocol.</p></caption>
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/6941/2026/gmd-19-6941-2026-b01.png"/>

      </fig>


<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Caveats to the experiment protocol</title>
      <p id="d2e2349">An important positive aspect of the TIPMIP protocol is its simplicity, with only <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (positive, zero, and negative) needing to be prescribed. Using emission rates derived from each model's TCRE, we aim to control the GMSAT warming rate to be common across models during the ramp-up, and ensure models switch to zero-emissions at the same global warming level, relative to their pre-industrial temperatures, after the same rate and duration of global warming. These assumptions rest on an assumed linearity of TCRE across warming levels (and increasing cumulative <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions) in the ramp-up. Put another way, we expect a unit emission of <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M116" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) to cause the same unit increase in global mean surface air temperature (<inline-formula><mml:math id="M118" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), whether the unit emission happens early in a ramp-up run (when accumulated <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions and induced warming are relatively small) or later in the same run (when accumulated <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are larger and induced warming is also larger). This assumption of linearity appears accurate at lower warming levels (modest accumulated <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions) but becomes less accurate at higher warming levels (greater accumulated <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions), resulting in a slight deviation in some models in the rate of warming away from the target 2 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century at higher GWLs (Krasting et al., 2014). The degree to which this deviation complicates our analysis will be one important outcome of the first round of simulations and will inform further development of the protocol. While any global warming rate could, in principle, be realized, we chose 2 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century as this is the approximate rate of observed warming over the past <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> years.</p>
      <p id="d2e2496">We do not explicitly control the evolution of GMSAT in the zero-emission runs. Our a priori expectation is that changes in GMSAT during these phases (the Zero Emissions Commitment (ZEC), Jones et al., 2019) will be close to zero (MacDougall et al., 2020). That said, each model's ZEC response is an emergent property of that model – which may depend on global warming level and even on the length of the zero-emission run. While we force the ramp-down runs to have a negative, mirror image emission of the ramp-up, this does not guarantee each model will cool at <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century. The realized cooling rate in each model will depend on the amount of excess heat sequestered during the ramp-up and zero-emission phases, as well as how the carbon cycle, atmospheric <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, and climate, respond in each model during the negative emission phase. We might expect a near mirror image ramp-down global cooling, but this too will be an emergent property of each model, likely related to its ZEC (Koven et al., 2023). It is important to reiterate our experiment protocol aims to control the evolution of GMSAT across models, acknowledging this may only be approximated in the zero and negative emission phases. In doing this, the cumulative <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in each model will differ significantly. For example, while models all branch into zero-emission runs at the same GWL after the same duration of warming, the cumulative emitted <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the atmospheric <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration at this branch point will differ across models. This is a direct result of controlling for GMSAT at the expense of cumulative <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions and needs to be considered in analysis of the resulting ensemble.</p>
      <p id="d2e2575">We choose a negative emission rate in the ramp-down that is a mirror image of the ramp-up to investigate the degree of symmetry in global warming and cooling under opposite and equivalent positive and negative emissions. This level of negative emissions (ranging from <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> depending on each model's TCRE) is clearly far greater than anything technically feasible today and probably also in the future (Gidden et al., 2025). We therefore recommend in the potential extensions to the phase 1 experiments (Sect. 3.2) that groups repeat the ramp-down phase using smaller negative emission rates (e.g. 50 %, 25 %, 12.5 % of their original rate).</p>
      <p id="d2e2618">While the simplicity of our protocol is a strong positive, it is also its main weakness. This is notably because we ignore other important anthropogenic forcings. In particular, emissions of aerosol and aerosol precursors. The protocol does include natural aerosols (as simulated in each individual model esm_piControl), including any response of natural aerosols to warming/cooling along the simulation pathway.  Anthropogenic aerosols have provided an important (time varying, spatially heterogeneous) negative radiative forcing during the historical period (1850 to near present-day), balancing a significant fraction of the historical warming due to greenhouse gas (GHG) emissions (Gillett et al., 2021; Smith and Forster, 2021). In recent decades anthropogenic aerosol emissions have decreased, impacting the Earths top of atmosphere (TOA) Energy Imbalance (Quaas et al., 2022; Yuan et al., 2026; Loeb et al., 2025), potentially contributing to an acceleration of global warming (Foster and Rahmstorf, 2026) Aerosol emissions also vary significantly across different future emission scenarios, such as the CMIP6 Shared Socioeconomic Pathways (SSPs) (Gidden et al., 2019). Due to their short atmospheric lifetime and strong interaction with low-level clouds (Williams and Igel, 2021; Fons et al., 2023) anthropogenic aerosol forcing has a specific geographical structure (Wilcox et al., 2023). Over the historical past, aerosol induced cooling is far greater in the Northern Hemisphere (NH) than in the Southern Hemisphere (SH), while GHG forcing is more homogeneous. As a result, the total historical anthropogenic radiative forcing at the top of atmosphere (TOA) has a distinct NH to SH gradient. This gradient, as well as the detailed spatial structure of aerosol forcing, will not be captured in our protocol and may have important consequences for simulated AMOC changes (Menary et al., 2020).</p>
      <p id="d2e2622">A second important omission is human land-use. Human land use has provided a negative forcing of the Earth system over the historical period. For example, in the HadGEM3-GC3.1 CMIP6 historical run, human land-use forcing was <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the total historical anthropogenic forcing in that model (Andrews et al., 2019). At regional scales, particularly with respect to tropical forests and their resilience, human land use (i.e. deforestation) plays a critical role (Flores et al., 2024), potentially of similar importance to global climate change (da Cruz et al., 2021, Boulton et al., 2022). For potential tipping of forest ecosystems (particularly the Amazon) our experiment protocol therefore neglects an important driver. Introduction of human land-use and anthropogenic aerosol are high priorities for a tier 2 set of experiments, but require careful testing before they can be included, as our aim will be to retain as much commonality as possible in warming pathways across models.</p>
      <p id="d2e2665">The protocol does not consider non-<inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anthropogenic GHG emissions, such as methane (<inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), ozone (<inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), nitrous oxide (<inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) or chloroflurocarbons (CFCs and HCFCs). While these are important forcers, for example when combined giving an historical radiative forcing <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> % of that due to anthropogenic <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Chap. 7, IPCC, 2023a), their lifetime, horizontal distribution, and impact primarily on the longwave part of Earth's radiation budget, suggest to a first order their forcing can be mimicked by an equivalent <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission. Omission of anthropogenic CFCs and HCFCs also means there will be no stratospheric ozone depletion (Solomon, 2019) in our experiments.</p>
      <p id="d2e2747">Because our protocol is forced solely by <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, with no aerosol or other well-mixed greenhouse gas (WGHG) emissions, it is likely that when the idealized runs reach <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and 4 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (the start of the zero-emission runs) they will have experienced a larger cumulative emission of <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> than equivalent multi-gas and land-use scenarios at the same GWL. This is primarily because the positive radiative forcing arising from non-<inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> WGHGs (e.g. methane, ozone, nitrous oxide etc) in the multi-gas scenarios is being achieved (in a warming sense) by <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in our idealized runs. This is partially offset by not including aerosol (negative radiative forcing). As a result, at common GWLs, models will have different atmospheric <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and will have absorbed different amounts of emitted carbon into the ocean and terrestrial biosphere, impacting responses such as plant photosynthesis or ocean acidification. These caveats should be considered when analysing ecosystem responses.</p>
      <p id="d2e2828">The Tier 1 protocol requests only one member per model. This is to maximise the number of models contributing. In some cases, tipping events are expected to be rare occurrences. Hence, a large ensemble would help in sampling such events, including potential stochastic forcing of tipping (Romanou et al., 2023), while also helping identify when, and under what conditions, a tipping event is more likely to occur. This can be partially addressed by the multi-model aspect of the protocol, with 11 ESMs already running these experiments. Nevertheless, we recognize the need for more ensemble members. For instance, a bifurcation in the AMOC has been shown to exist in one ESM and could therefore have implications for the timing and reversibility of AMOC-related tipping (Romanou et al., 2023). We therefore encourage groups to consider running additional ensemble members (started from different time points in their esm_piControl) in the potential extensions to Tier 1. Similarly, the Tier 1 protocol asks for the zero-emission runs to be a minimum of 300 years in length. This is sufficient for investigating many Earth system responses, but for some of the slower Earth system components (e.g. ice sheets or the deep ocean) longer runs are required. We therefore encourage groups to extend their zero-emission runs to 500 years or longer, in the potential extensions to the Tier 1 protocol.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Potential extensions to the Tier 1 protocol: Tier 2 experiments</title>
      <p id="d2e2839">There are a number of highly desirable and technically straightforward extensions to the Tier 1 protocol, that we encourage modelling groups to consider running. These include: <list list-type="custom"><list-item><label>1.</label>
      <p id="d2e2844">Extending the three zero-emission runs shown in Fig. 1 to 500 years each (or as long as possible).</p></list-item><list-item><label>2.</label>
      <p id="d2e2848">When the two ramp-down runs first pass <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (i.e.  pre-industrial GMSAT), branch zero-emission (ZE) runs at <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and run these for 500 years (or longer).</p></list-item><list-item><label>3.</label>
      <p id="d2e2888">Extend the original esm_piControl so it is sufficiently long to act as a reference for the zero-emission runs proposed under points 1 and 2.</p></list-item><list-item><label>4.</label>
      <p id="d2e2892">In addition to zero-emission runs at <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and 4 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, also perform zero-emission runs branched off the ramp-up and ramp-down runs at <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>, 3, and potentially 1.2 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, approximating present-day global warming.</p></list-item><list-item><label>5.</label>
      <p id="d2e2940">Repeat the negative emission runs sampling negative rates equal to 50, 25, and 12.5 % of the original <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item><label>6.</label>
      <p id="d2e2974">In addition to the negative emission runs starting 50 years into each zero-emission run, start identical negative emission runs later in the same zero-emission runs (after 200 years is recommended).</p></list-item><list-item><label>7.</label>
      <p id="d2e2978">Increase the ensemble size e.g start new ramp-up <inline-formula><mml:math id="M162" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> zero-emission <inline-formula><mml:math id="M163" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> ramp-down legs of the protocol, as additional ensemble members branched from the esm_piControl. We suggest a minimum of 30 years separation in the esm_piControl between starting new ramp-up runs.</p></list-item></list></p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>A reduced set of Tier 1 experiments: Tier1_reduced</title>
      <p id="d2e3004">To maximize the number of models contributing to TIPMIP, we also propose a reduced set of Tier 1 experiments. While we encourage groups to run the full set of experiments whenever possible, groups will be able to participate in Tier 1 by realising the reduced set of runs: <list list-type="bullet"><list-item>
      <p id="d2e3009">An <italic>esm_piControl</italic> for 300 years.</p></list-item><list-item>
      <p id="d2e3016">One <italic>ramp-up</italic> run at <inline-formula><mml:math id="M164" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d2e3072">One <italic>zero-emission (ZE)</italic> run at <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> for 200 years.</p></list-item><list-item>
      <p id="d2e3097">One ramp-down run (started 50 years into the ZE run at <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), run back to <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>&lt;</mml:mo><mml:mtext>pre-industrial</mml:mtext></mml:mrow></mml:math></inline-formula>.</p></list-item></list></p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Links to other CMIP7 model intercomparison projects (MIPs)</title>
      <p id="d2e3138">The TIPMIP ramp-up and zero-emission simulations have similarities with the constant emission, zero-, and negative- emission simulations planned in CMIP7 flat10MIP (Sanderson et al., 2025). A key difference between the two sets of experiments is that the TIPMIP protocol aims to enforce approximate commonality across models in the temporal evolution of GMSAT; i.e. similar warming rates and duration of warming in the positive emission runs before zero-emission runs are branched at common GWLs. The zero and negative emission runs are not guaranteed to exhibit common temperature evolution across each model, these being an emergent property of each model. The protocol accepts the amount of <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emitted into each model will necessarily be different to realize this. In flat10MIP, commonality in <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions is enforced across models, while inter-model variability in the evolution of GMSAT is accepted. While there are similarities between the two sets of experiments, joint analysis of model responses in common-GMSAT versus common-<inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission space will help understand differences seen between the two protocols when run by the same model. The flat10 set of experiments allow TCRE to be diagnosed for each ESM under a common emission rate of <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which can be used to inform the positive emission rates in TIPMIP. TIPMIP simulations are more extensive and naturally follow on from flat10. They are designed to explore in more detail model responses, following close-to-uniform warming rates and sampling a number of common global warming levels at which net zero <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission runs are started. The state-dependence of ZEC and the response to negative emissions is a particularly useful and unique analysis opportunity offered by the TIPMIP simulations</p>
      <p id="d2e3216">Earth system change and regional patterns of change seen in the TIPMIP experiments can also be compared with results from ScenarioMIP (O'Neill et al., 2016; van Vuuren et al., 2026) and CMIP7 DECK (diagnostic, evaluation and characterization of klima) experiments (e.g. 1pctCO2 and abrupt <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> runs, Dunne et al., 2025) at similar transient global warming levels. This will provide information on the impact of staying long-term at, or close to, a given GWL (in the TIPMIP zero-emission runs) compared to transiently passing through it. Attention will need to be paid to the fact the TIPMIP simulations are forced solely by variable <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions.  ScenarioMIP forcing is a multi-gas mix, including time varying aerosol emissions and human land-use. The latter, while more realistic, is more difficult to achieve commonality of GMSAT behaviour across models, which is a primary aim of the TIPMIP protocol.</p>
      <p id="d2e3246">A recent multi-model initiative, AERA-MIP (Silvy et al., 2024), provides 1.5 and 2.0 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> stabilization simulations that account for all anthropogenic drivers. This approach utilizes the adaptive emission reduction approach (AERA, Terhaar et al., 2022) to produce temperature stabilization simulations for two GWLs, following realistic historical forcing trajectories.</p>
      <p id="d2e3259">TIPMIP simulations can be compared with AERA-MIP results to explore, for example, the impact of non-<inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radiative forcing on the spatial patterns of climate change in the AERA-MIP runs stabilized at <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and the TIPMIP net zero-emission runs initialized at <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. This analysis will need to pay careful attention to the different experiment set ups in the two runs, particularly the inclusion of non-<inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> forcers in AERA-MIP. A difference between the two protocols is the commonality of model warming rates in the TIPMIP ramp-up runs, as well as the commonality of GWL at which net-zero <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission runs start. We intend to compare tipping point behaviour in common model realizations of the two protocols at common GWLs.</p>
      <p id="d2e3332">In CMIP6, the Carbon Dioxide Removal Model Intercomparison Project (CDRMIP, Keller et al., 2018) explored the potential for, and impacts of, CDR deployment. In CMIP7, CDRMIP will address questions concerning the response of the Earth system to atmospheric <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> removal (negative <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions), the efficacy of different CDR approaches, such as afforestation/reforestation and ocean alkalinization, and begin to assess active CDR as simulated in a number of ESMs, contrasting these with equivalent representations in Integrated Assessment Models (IAMs).</p>
      <p id="d2e3357">We have dubbed the TIPMIP Tier 1 protocol “<italic>see what happens</italic>” experiments. By this we mean the runs do not include any external interventions or forcings to ensure a tipping event occurs. There is a widespread feeling that ESMs may be designed (explicitly or unconsciously) to be overly stable with respect to tipping events (Rahmstorf, 2024; Valdes, 2011). This may result in only a small number of tipping events occurring in our Tier 1 ensemble. A natural extension to the TIPMIP protocol, in particular using the zero-emission runs started at <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and 4 <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, is to deliberately induce a tipping event in these simulations. This has the advantage of knowing, in advance, the climate state at which the tip occurs and automatically having a non-tipping counterfactual run sampling the same climate state as the tipping run. Tips can be induced by prescribing external forcing terms or by making targeted modifications to key model parameterizations to increase the sensitivity of a given system to climate forcing. Such <italic>forced tip</italic> “<italic>make it happen</italic>” experiments will be developed in collaboration with the domain-specific activities in TIPMIP, as well as TIPMIP-WHATIF (Winkelmann et al., 2025) to ensure widespread utility of the resulting experiments across projects.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Diagnostics for all phase 1 experiments</title>
      <p id="d2e3399">The data request for TIPMIP starts from the data request for the <italic>esm-historical</italic> experiment in CMIP6. In a first step the number of requested variables was reduced to only include variables that 3 sample ESMs were able to produce, assuming these provide a reasonable subset of CMIP6 models. The list was further reduced by excluding most variables at sub-daily frequencies. TIPMIP experiments cover several centuries, and the amount of data would become impractical if sub-daily data, especially on multiple levels, were saved.  The reduced list was then passed to TIPMIP domain experts for inspection, which resulted in some additional variables that were considered important for analysing domain specific tipping points. TIPMIP ESM output will be used as forcing for offline models in TIPMIP. We also anchored our diagnostic list with the Inter-Sectoral Impact Model Intercomparison Project (ISIMIP) (Frieler et al., 2024) to ensure data can be used to force sectorial impact models. All diagnostics follow CMIP6plus CMOR (climate model output rewriter) protocols. CMIP7 protocols will be used once they are fully established.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>File naming conventions</title>
      <p id="d2e3413">TIPMIP comprises a number of zero-emission (ZE) simulations at specific GWLs, as well as positive <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission (ramp-up) and negative <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission (ramp-down) experiments that link one warming level with another. A ZE experiment branching directly off a ramp-up experiment will therefore be different from another ZE experiment, at the same GWL, branching off a ramp-down experiment itself started from a higher GWL value.  To distinguish between these two experiments, we propose a naming convention that allows us to construct experiment names by using short blocks describing each experiment phase and then adding these blocks together to form unique <italic>experiment_ids</italic> for each possible experiment. The building blocks and example experiment file names are listed below in Tables 2 and 3.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e3444">Building blocks of the naming schemes for creating experiment_id's. These form the basis of the output filenaming convention for TIPMIP under CMIP6plus.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="15cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Building Block</oasis:entry>
         <oasis:entry colname="col2" align="left">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>upXpY</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Ramp-up simulation, following approximately a warming rate of <italic>XpY</italic> <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century. <italic>XpY</italic> is given to one decimal place with the decimal point replaced by “<inline-formula><mml:math id="M192" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>”, e.g. <italic>2p0</italic> equates to 2.0 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century, up indicates positive emissions (ramp-up).</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>dnXpY</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Ramp-down simulation, using negative emissions of the same magnitude as those used in <italic>upXpY</italic>. Note in these experiments the actual cooling rate may deviate from <inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><italic>XpY</italic> <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century, <italic>dn</italic> indicates negative emissions (ramp-down).</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>gwlXpY</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Zero-emission simulation that starts when GMSAT is <italic>XpY</italic> <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer than the relevant pre-industrial control GMSAT, <italic>gwl</italic> signifies the GWL each ZE run starts at.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Ny</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Length in years that a zero-emission (<italic>gwlXpY</italic>) experiment has run before a ramp-down experiment is branched off it. <inline-formula><mml:math id="M197" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> indicates the number of years.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e3602"><italic>experiment_id</italic> and <italic>experiment</italic> attribute for the TIPMIP ESM phase-1 experiments. The prefix “esm-” follows CMIP6 standards and indicates that these are <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission driven experiments. The experiment names form the basis for identifying different runs under the TIPMIP protocol for a given model.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="105pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="180pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="180pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">experiment_id</oasis:entry>
         <oasis:entry colname="col2" align="left">Experiment</oasis:entry>
         <oasis:entry colname="col3" align="left">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"><italic>esm-up2p0</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Ramp up run with constant <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions giving a warming of <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century</oasis:entry>
         <oasis:entry colname="col3" align="left">Positive emission run branching off the esm-piControl</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"><italic>esm-up2p0-gwl2p0</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Zero-emission run starting at <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, branching off <italic>esm-up2p0</italic></oasis:entry>
         <oasis:entry colname="col3" align="left">Net zero emission experiment, branching off the ramp-up when GMSAT is 2 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer than pre-industrial.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"><italic>esm-up2p0-gwl4p0</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Zero-emission run starting at global <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, branching off <italic>esm-up2p0</italic></oasis:entry>
         <oasis:entry colname="col3" align="left">Net zero emission experiment, branching off the ramp-up when GMSAT is 4 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer than pre-industrial.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"><italic>esm-up2p0-gwl2p0-50y-dn2p0</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Ramp down simulation with <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions that are the negative of those used in <italic>esm-up2p0</italic> (<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula>), branching off <italic>esm-up2p0-gwl2p0</italic> after 50 years.</oasis:entry>
         <oasis:entry colname="col3" align="left">Negative emission experiment, starting 50 years into the zero-emission run at <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"><italic>esm-up2p0-gwl4p0-50y-dn2p0</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Ramp down simulation with <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions that are the negative of those used in <italic>esm-up2p0</italic> (<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula>), branching off <italic>esm-up2p0-gwl4p0</italic> after 50 years.</oasis:entry>
         <oasis:entry colname="col3" align="left">Negative emission experiment, starting 50 years into the zero-emission run at <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><italic>esm-up2p0-gwl4p0-50y-dn2p0-gwl2p0</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Zero-emission run starting at <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> branching off <italic>esm-up2p0-gwl4p0-50y-dn2p0</italic></oasis:entry>
         <oasis:entry colname="col3" align="left">Net zero emission experiment, branching off a ramp-down run that was started from a ZE run at <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3949">The building blocks are combined to identify the full history of a given experiment, forming part of the output filename for a given model. By using these building blocks, it is possible to distinguish ZE experiments at different GWLs that have started directly off a ramp-up run, from those that have started after a ramp-up, ZE run at a higher GWL, and ramp-down back to the GWL of the ZE run in question, or distinguish between experiments with different length ZE runs before a ramp-down run is started. Table 3 lists the <italic>experiment_id</italic> and <italic>experiment</italic> metadata for the Tier 1 experiments.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Science questions to be addressed</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Tipping points and abrupt change</title>
      <p id="d2e3974">Tipping of Earth system elements is often considered a low-likelihood, high-risk event that may result in severe consequences for ecosystems, biodiversity, and society. In recent years there has been increasing evidence that several parts of the Earth system are already undergoing rapid, potentially irreversible change (Lenton et al., 2008, 2019), which may lead to crossing of tipping points. Components at risk of tipping include the West Antarctic and Greenland ice sheets, Amazon and some boreal forests, savanna and dryland ecosystems, coral reefs, the Atlantic Meridional Overturning Circulation (AMOC), the North Atlantic Subpolar Gyre (SPG), and ground permafrost. (e.g. Levermann and Winkelmann, 2016; Sgubin et al., 2017; Staal et al., 2020; Swingedouw et al., 2020, 2021; Chap. 9, IPCC, 2023a; Armstrong McKay et al., 2022). Recent studies estimate that widespread, at least partly irreversible, mass loss from the West Antarctic ice sheet may be triggered when global warming levels range from 1–3 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> above pre-industrial (Golledge et al., 2017; Garbe et al., 2020; Reese et al., 2023). For the Greenland ice sheet, a critical threshold is estimated in the range 0.8–3 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of global warming, with a best estimate of about 1.5 <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (van Breedam et al., 2020; Noël et al., 2021; Höning et al., 2023). The recent Global Tipping Points Reports (Lenton et al., 2023, 2025) conclude that some Earth system tipping events are no longer low-likelihood, high-impact events, rather they are rapidly becoming high-likelihood, high-impact events.</p>
      <p id="d2e4007">Large uncertainty still exists with respect to tipping point risks. Many studies use a range of observational data including paleo-proxy records, in situ measurements, as well as atmosphere and ocean reanalyses. Satellite data, covering the past few decades, is also playing an increasing role (Swingedouw et al., 2020; Lenton et al., 2024), because of its global coverage at fine temporal and spatial resolution. In situ data is often spatially too coarse, and satellite data temporally too short, to reliably detect early warning signals of tipping events. ESMs offer global coverage at reasonable (but by no means sufficient) spatial resolution and can be integrated for multi-centuries. ESMs can therefore be used to investigate where, when, and how, tipping events are triggered (Romanou et al., 2023; van Westen et al., 2024a, b), as well as how different tipping systems interact. Studies to date have mostly been based on either a single model, and/or individual experiment design, with a focus on individual tipping element (e.g., the North Atlantic Hosing Model Intercomparison Project (NAHosMIP) and AMOC, Jackson et al., 2023).</p>
      <p id="d2e4010">A key aim of the TIPMIP ESM protocol is to investigate a range of tipping events using a common experiment protocol sampled by multiple ESMs. We aim to investigate the risk of tipping events under net zero emissions initiated at different levels of global warming, and if triggered, whether the ensuing changes are reversible (through global-scale cooling) on societally relevant timescales. Ritchie et al. (2021, 2025) stress both the peak global warming level (GWL), and the duration spent at a given GWL before cooling, are important determinants of the risk of triggering a tipping event. The TIPMIP Tier 1 protocol offers a (minimal) set of multi-model experiments to address such tipping risks (i) under net zero emissions started at two different GWLs, (ii) associated with the duration of net zero emissions, and (iii) the potential for reversibility as warming is reduced.</p>
      <p id="d2e4013">A number of studies have identified abrupt changes in ESMs (Drijfhout et al., 2015; Swingedouw et al., 2021), including stochastic collapse of the AMOC (Romanou et al., 2023), localized, rapid Amazon loss (Parry et al., 2022), and rapid, irreversible mass loss of the West Antarctic ice shelf (Naughten et al., 2023). In addition, van Westen et al. (2024a) show how a freshwater flux into the Atlantic in the CESM model can induce positive feedback driving a collapse of the AMOC. They further highlight such feedback is poorly represented in present-day models, due to large biases in simulated salinity fields. van Westen et al. (2024b) extend this work to derive a fingerprint for AMOC collapse (based on surface ocean buoyancy), which they apply to an ensemble of CMIP6 projections, finding a greater than 50 % likelihood the AMOC will pass a critical point for tipping during the 21st century following a middle-of-the-road emission scenario. With respect to permafrost, recent studies emphasize the need to incorporate frozen soil thaw dynamics and associated carbon release into models to accurately estimate available carbon budgets (Natali et al., 2021; Turetsky et al., 2020). CMIP6 ESMs are capable of simulating gradual permafrost thaw but lack the necessary resolution and process representation to capture the spatial heterogeneity of permafrost thaw dynamics. Quantifying the impact of missing processes is essential for advancing our ability to estimate future permafrost behaviour. Offline models representing high northern latitude terrestrial processes will be forced by TIPMIP ESM output to help refine estimates of annual permafrost thaw using the methodology of Burke et al.  (2020), and improve predictions of potential rapid loss of permafrost volume.</p>
      <p id="d2e4017">For many of the phenomena at risk of tipping, ESMs exhibit biases in the representation of these phenomena (Li et al., 2021; McCarthy and Caesar, 2023) and in the climate drivers of the phenomena (Mecking et al., 2017; Robson et al., 2022; Jensen et al., 2024), including the representation of extreme events that might push a system beyond its resilience limits (Romanou et al., 2025). An important task is to assess the quality of the TIPMIP ESMs in simulating the phenomena of interest, the key climate controls of these phenomena, including those that control the risk (or not) of a phenomenon tipping. For this we will focus on established metrics and climate controls for each phenomenon, including statistical and physically based metrics (or fingerprints) that are considered robust indicators of a potential tip. In this respect, the development of robust observational constraint approaches (e.g. Portmann et al., 2025) is important, as is the need for a large multi-model ensemble.</p>
      <p id="d2e4020">Once a tipping event is identified, we will assess: (i) the mechanisms underpinning the event, comparing the key driving processes across the multi-model ensemble (MME); (ii) whether there are early warning signals of the tip and then search for the occurrence of similar indicators across the MME; (iii) the broader consequences of any tip for the rest of the Earth system, considering both remote impacts (Ritchie et al., 2020) and interactions between components of the Earth system (Klose et al., 2024).  Systems at risk of tipping have the potential to interact (i.e. if one regional system tips, cascading teleconnections can influence the risk of a tip in another remote system Wunderling et al., 2024). An ESM dynamically couples different Earth system processes. The TIPMIP protocol allows us to investigate potential tipping point interactions across models, supporting quantification of any interactions and possible cascades.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Long-term change under zero emissions at different global warming levels</title>
      <p id="d2e4031">The Paris Agreement aims to limit global warming to below 2 <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (and pursue efforts to limit warming to 1.5 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>). GMSAT has already increased by almost 1.5 <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and cumulative GHG emissions continue to increase (Friedlingstein et al., 2025). It is therefore unclear when, and at what level, temperatures (and associated emissions) might be stabilized in the future. It is also unclear if, how, and how rapidly, global temperatures can be reduced, for example through net negative <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. It is possible global temperatures remain significantly above present-day values for a long period before any significant cooling occurs. Furthermore, Gillett et al. (2011), Cassidy et al. (2024), and Chamberlain et al. (2024) show strong regional changes in climate, particularly over the Southern Ocean, following net-zero emissions even when global mean temperatures are approximately stable. Continued Southern Ocean warming, particularly at depth, is associated with a slowing of the overturning circulation at subpolar latitudes, decreasing the export of cold Antarctic Bottom Waters into the global ocean (Chamberlain et al., 2024).  The amount of heat released from the Southern Ocean may also affect the dependence of ZEC on the level of (surface) warming at which zero emissions are realized. MacDougall et al. (2020) found in a limited number of ZECMIP models that higher levels of cumulative emissions may lead to greater ZEC values.</p>
      <p id="d2e4075">It is therefore urgent to understand how the Earth system will respond to net zero emissions at different GWLs (King et al., 2021, 2024; Chamberlain et al., 2024; Silvy et al., 2024). Such analysis requires long-term, zero-emission simulations at a range of GWLs. The TIPMIP protocol provides such a data set.</p>
      <p id="d2e4078">Slow processes, such as melting of ice sheets or deep ocean warming, will continue to evolve long after net-zero emissions are achieved. Paleo evidence suggests a committed global sea level rise of around two meters per degree of global warming on millennial time scales (Levermann et al., 2013; Pattyn et al., 2018). Continuous freshwater input to the ocean, from melting land ice, will also have long-term impacts on ocean circulation (Swingedouw et al., 2007; Hu et al., 2008). As long as the ocean is still adjusting, feedbacks onto other components of the Earth system, expressed through changes in marine heat and carbon fluxes (DeVries et al., 2017; Rugenstein et al., 2020), have the potential to impact patterns of regional change.</p>
      <p id="d2e4081">The potential for gradual warming under net-zero emissions may result in system thresholds being exceeded, with impacts on ecosystems and society, or even tipping of elements in these systems, such as abrupt shifts in vegetation (Wei et al., 2025), regime shift in marine primary productivity (Vasilakopoulos et al., 2017), biodiversity loss (Ureta et al., 2022) or permanent displacement of people (Defrance et al., 2017). Furthermore, gradual change in the mean climate can induce shifts in modes of regional climate variability (Horton et al., 2015; Tamarin-Brodsky et al., 2020; Kim and An, 2024), with consequences for extreme events (Fischer et al., 2021; Wehrli et al., 2022). The TIPMIP protocol offers the possibility to study both incremental climate change and associated regional changes in variability in long-term, zero-emission simulations.</p>
      <p id="d2e4085">While climate change is not yet one of the top drivers of biodiversity loss (Jaureguiberry et al., 2022), it is emerging as a significant threat (Soultan et al., 2022; Kubelka et al., 2022). Recurrent extreme temperature or precipitation events impact the ecology of different disease vectors (Liu-Helmersson et al., 2014) and put stress on agriculture and infrastructure (Sgubin et al., 2019). The TIPMIP ESM experiments will be used to drive impact models in ISIMIP (Frieler et al., 2024) to investigate such risks to ecology, biodiversity, and society.</p>
      <p id="d2e4088">Most studies to date looking at climate impacts at a given GWL have been based on transient projections, analysing periods where global warming falls in an interval around a given target level (Lennard et al., 2018; Tebaldi et al., 2021; Swaminathan et al., 2022). These studies suffer from the fact that the transient climate at a certain warming level differs from the climate after a longer period at the same level. In many regions, this leads to differences between the transient and the equilibrium climate at the same GWL (King et al., 2020, 2024; Lacroix et al., 2024). The TIPMIP zero-emission simulations offer the opportunity to assess the long-term response of the Earth system to net zero <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions at different GWLs. Key questions to address include: <list list-type="bullet"><list-item>
      <p id="d2e4104">What are the long-term regional changes under net-zero emissions and do these changes differ depending on the GWL at which net-zero emissions are realized?</p></list-item><list-item>
      <p id="d2e4108">What impacts are avoided by achieving net-zero emissions at one GWL compared to a warmer GWL?</p></list-item><list-item>
      <p id="d2e4112">What are the benefits of pursuing negative emissions (global cooling) from a given GWL versus net-zero emissions at the same GWL? I.e. what impacts are avoided through negative emissions relative to net-zero emissions?</p></list-item><list-item>
      <p id="d2e4116">How different is the climate response to net-zero emissions at a given GWL depending on the path followed to reach that GWL (i.e. with or without a temporary warming overshoot and subsequent ramp-down cooling)?</p></list-item><list-item>
      <p id="d2e4120">If thresholds for tipping key elements are exceeded, can irreversible tipping be avoided through deployment of negative emissions and global cooling?</p></list-item></list></p>
      <p id="d2e4123">To answer these questions robustly, an ensemble of simulations is required.  Single model simulations can differ significantly from each other, examples include Arctic Sea ice (Notz et al., 2020) and AMOC (Weijer et al., 2020), and their subsequent evolution in future projections (e.g. Romanou et al., 2023). Regional climate change patterns are even more challenging as they strongly depend on large-scale circulation patterns and internal variability (Kjellström et al., 2018; Koenigk et al., 2020). Internal variability can be partially addressed by the long zero-emission simulations. However, as the mean state keeps evolving, late and early periods in these simulations may be different. In addition, ESMs simulate different regional and cascading changes across Earth system components at the same GWL (Evin et al., 2024). Dealing with these model-to-model differences calls for an ensemble of models running the same set of experiments. The Tier 1 protocol requests 300-year zero-emission simulations. This may not be sufficiently long to fully answer questions pertaining to the new equilibrated state at different GWLs. It is therefore important to link with activities looking at timescales exceeding a few hundred years (King et al., 2024; Rugenstein et al., 2020).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Reversibility</title>
      <p id="d2e4134">The IPCC Special Report on the Ocean and Cryosphere in a Changing Climate (SROCC) (IPCC, 2022a) defines reversibility as the ability of the Earth system to reverse anthropogenic-induced changes and return to a state equivalent to that prior to the external perturbation (e.g. a preindustrial condition), on a certain timescale. Irreversibility, in contrast, implies a suite of forcings and system responses that moves the system across some critical threshold, from one stable equilibrium to another (Lenton et al., 2008), with the original state unattainable under reasonable bounds of modified forcing or time periods. Irreversibility or hysteresis is often related to tipping events (van Nes et al., 2016; Armstrong McKay et al., 2022; Lenton et al., 2023), although irreversible change can also occur as a result of incremental warming or climate change.</p>
      <p id="d2e4137">Current literature suggests irreversible Earth system change may result either from nonlinear responses to an external forcing, or state-dependent responses to this forcing, or a combination of both ( Litzow and Hunsicker, 2016; Scheffer et al., 2015; Santana-Falcon et al., 2023; Heinze et al., 2023; Ritchie et al., 2023; Fröb et al., 2024). The question whether changes are reversible is therefore connected to the response of key processes to variable external forcing (Frölicher and Joos, 2010; Kug et al., 2022), where this forcing might be external to the Earth system (e.g. anthropogenic <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions or solar variability) or internal to the Earth system but external to a specific phenomenon (e.g. changed ENSO variability and its impact on Amazon resilience). Details of the external forcing matter, for example, changes in either the magnitude or duration of forcing, such as the rate of warming or the magnitude and duration of warming overshoot, are thought to be important factors in driving a system towards irreversible change (Schwinger and Tjiputra, 2018; Jeltsch-Thömmes et al., 2020; Ritchie et al., 2023, 2025).</p>
      <p id="d2e4151">The TIPMIP experiments allow us to address questions around the potential reversibility of Earth system change. A first question concerns the reversibility of global warming realized in the positive emission (ramp-up) phase. One might expect equal and opposite negative emissions to induce global cooling of a similar rate to the (ramp-up) warming. This is not necessarily the case for the TIPMIP runs, as each model's response during the 50 years of zero emissions will differ, resulting in different GMSAT and atmospheric <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values across models at the start of the negative emission run. The spread in these quantities at <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> may also be greater than at <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. Hence, while the linearity of TCRE and the link between cumulative emissions and peak warming suggest TCRE and TCRR are symmetric, for the TIPMIP ensemble this needs to be established. While previous assessments (e.g. IPCC Special Report on Global Warming of 1.5 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, IPCC, 2022b; IPCC 6th Assessment Report WGI, IPCC, 2023a) provide some insight into how changes differ between warming levels, the question of how reversible the changes are, particularly regional changes, remains uncertain.</p>
      <p id="d2e4211">Another important question relates to how changes in one location (or component) of the Earth system can cause changes elsewhere. Emerging literature (Armstrong McKay et al., 2022; Lenton et al., 2023; Wunderling et al., 2024) suggest some tipping elements, once triggered, may influence the stability of other parts of the Earth system. The suggestion is that an initial global-scale change can induce a major regional (abrupt) change that itself amplifies the global-scale signal or triggers independent regional abrupt changes elsewhere (Wunderling et al., 2022). Quantifying these risks requires an improved understanding of region-to-region interactions in the Earth system. Recent studies highlight how anthropogenic forcing has the potential to significantly alter prominent modes of climate variability, such as the Inter-Tropical Convergence Zone (Kug et al., 2022) or the El Nino Southern Oscillation (ENSO, Vaittinada Ayar et al., 2022; King et al., 2024; Cassidy et al., 2024), with the potential to induce further, potentially amplifying regional responses in remote Earth system domains.</p>
      <p id="d2e4215">A third question concerns long-term committed change under net zero emissions at different GWL, such as Greenland or Antarctic ice loss, or permafrost thaw, and its potential reversibility when negative emissions (and cooling) are initiated. Recent work (Schleussner et al., 2024) suggests reducing global temperatures can limit long-term climate risks compared with merely stabilizing warming (i.e. negative emissions compared to net-zero emissions). However, there are deep uncertainties in the long-term response of the Earth system, associated with the severity and duration of warming before cooling is realized, as well as how accurately models represent the long-term features of the coupled Earth system. Recent advances in Earth system models participating in TIPMIP will help address this question. For example, ESMs now include interactive treatment of phenomena such as continental ice sheets, permafrost, wildfires, and are increasingly running in emission mode for GHGs, allowing a more complete representation of interactions between physical climate change and the carbon cycle (Sanderson et al., 2025).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Earth system responses to net negative emissions</title>
      <p id="d2e4226">The magnitude of global warming scales approximately linearly with cumulative <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (IPCC, 2023b). This underpins the expectation that global mean temperatures should approximately stabilize under net-zero <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, and that reducing <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-induced warming requires net negative <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. The TIPMIP ESM simulations will also allow us to explore the efficacy and implications of reversing global temperature through net negative emissions.</p>
      <p id="d2e4273">The linearity of warming arises from the climate response to forcing – both the transient response and the rate of adjustment to constant forcing – as well as the radiative forcing from <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Allen et al., 2022), the latter controlled by the airborne fraction of emitted <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The resulting relationship – known as the transient climate response to cumulative carbon emissions (TCRE) – gives a monotonic and approximately path-independent peak-warming response to <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. While some studies have shown this relationship may break down for both very large cumulative emissions and strong negative emissions (e.g. Zickfeld and Herrington, 2015; Zickfield et al., 2021), these results are based on single model studies. It remains unclear how symmetrical TCRE is (i.e. the extent to which TCRE under net negative emissions, also referred to as TCRR (Chimuka and Zickfeld, 2026), is equal and opposite to TCRE). Koven et al. (2022) show that deviations from reversibility of TCRE are related to the legacy response to previous emissions and correlate with the ZEC for each model – models with a positive ZEC show an overshoot of temperature under negative emissions while models with a negative ZEC may undershoot – i.e. they may reverse more quickly than the negative emissions alone would imply. Models with a ZEC close to zero are much closer to reversible along the same TCRE gradient. Models with a higher ZEC, and importantly if ZEC becomes increasingly positive at higher warming levels, may exhibit reduced sensitivity to negative emissions – i.e. they may cool slower than they warmed in the ramp-up phase. Extending the CMIP7 flat10MIP experiments (Sanderson et al., 2025), TIPMIP samples multiple GWLs, allowing a systematic analysis of multi-GWL responses to positive, zero, and net negative, emissions.</p>
      <p id="d2e4309">Carbon dynamics under negative emissions are qualitatively understood, although models differ in the quantitative magnitude of their response. Over the last century, <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions have caused a rapid rise in atmospheric <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration and natural carbon sinks – both land and ocean – while removing some of this, have not kept up and so increase their sink rates in step with the emissions (Raupach et al., 2014). When <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions stop increasing, atmospheric <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> declines and natural sinks weaken, eventually saturating, in particular the land biosphere (Silvy et al., 2024). Under negative <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, atmospheric <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration strongly declines, and the natural sinks eventually reverse as both ocean and land ecosystems outgas excess <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Tokarska and Zickfeld, 2015; Jones et al., 2016; Koven et al., 2022). Thus, in the long term, the same processes which lead to natural sinks opposing positive emissions also lead to the natural carbon cycle opposing <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> removal, i.e. for every ton of <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> removed (e.g. by CDR), atmospheric <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations will decline by less than one ton. Uncertainty in the carbon cycle response to negative emissions is likely dominated by land ecosystems in the same way as it is for the response to rising emissions (Jones and Friedlingstein, 2020), although on longer timescales the land sink will saturate more quickly leaving a larger role for ocean uptake (Randerson et al., 2015). The TIPMIP ESM experiments will enable quantification of the various contributions to the total carbon cycle response to negative emissions simulated in the latest generation of ESMs.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Initial results</title>
      <p id="d2e4433">We present a small set of examples of the TIPMIP experiment protocol in action, realized by a number of contributing ESMs. Further analysis is planned once the majority of models have completed the protocol and converted their data into a common format.</p>
      <p id="d2e4436">In Fig. 2, for one model (GFDL_ESM2M, Dunne et al., 2013), we show the full protocol pathway of, plotting global mean atmospheric <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio (referred to as atm.<inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> hereafter) and global mean surface air temperature (GMSAT). We present the complete pathway from one model primarily for illustrative purposes. More robust conclusions will be developed through subsequent analysis of the full ensemble. The positive emission (ramp-up) run branches from an esm_piControl that is temporally stable with respect to both atm.<inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and GMSAT, with atm.<inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> rising throughout the ramp-up to a value of <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">850</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula> by the time <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. GMSAT closely follows a warming rate of 2 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century through the ramp-up. At <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> the zero-emission run sees a slow reduction in atm.<inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as the ocean and land continue to take up excess <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the atmosphere.  This decrease in atm.<inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> will lead to a negative trend in radiative forcing, which on its own would be expected to cause a decrease in GMSAT (Williams et al., 2025). This is not the case, with a ZEC value slightly above zero being realized in this model at <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. This slight positive ZEC indicates there is a committed warming at the branch point from the positive emission run into the zero-emission run, represented by heat taken up during the ramp-up residing in the subsurface ocean (Williams et al., 2025). During the zero-emission run this sequestered heat has time to reach the surface, balancing the cooling tendency from the decrease in <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with the combined result being a small surface warming (i.e. a positive ZEC). In the zero-emission run started at <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> there is a clear tendency for this model to have a more positive ZEC than at 2 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The model also shows varying timescales in ZEC, with near-zero ZEC during the first hundred years of the 2 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> zero emissions simulations, followed by a period of more continuous warming (Frölicher and Paynter, 2015). The two negative emission runs branched from the zero-emission runs at <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and 4 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> both show near symmetrical global cooling compared to warming in the ramp-up. The degree to which these findings hold for the multi-model ensemble will be assessed in forthcoming studies. The zero-emission run, branched at <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> off the ramp-down started from 4 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, also suggests a modestly positive ZEC. It is noteworthy that atm.<inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the point GWL reaches 2 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the ramp-down is lower than atm.<inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in the ramp-up, suggesting that to return to a GWL value of 2 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> after overshoot requires atmospheric <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to be lower than for the same value of GMSAT before overshoot (Held et al., 2010).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e4774">An example of the TIPMIP ESM protocol based on a single model (GFDL_ESM2M, Dunne et al., 2013) simulations. Panel <bold>(a)</bold> shows global mean atmospheric <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration (atm.<inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Panel <bold>(b)</bold> shows global mean surface air temperature (GMSAT).</p></caption>
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/6941/2026/gmd-19-6941-2026-f02.png"/>

      </fig>

      <p id="d2e4812">Figure 3 shows the same as Fig. 2, only for the positive emission (ramp-up) and zero-emission runs at 2 and 4 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, this time for nine models that have so far made these runs. At the time of writing, not all models have completed the zero-emission runs, some have run 500 years of zero-emission while others have only run 300 years. We plot the full length of each model simulation. From the multi-model results, it is clear different <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rates (and therefore different atmospheric <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations) are required to realize a near common 2 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century warming across models. Models closely follow the 2 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century warming from 0 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (i.e. piControl) to 2 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Above <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> there is more spread in warming rates, suggesting TCRE is not completely linear across all GWLs (and emitted <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in all models. The combination of common warming rates driven by different atmospheric <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increases means there is significant spread across models in atm.<inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at both <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and 4 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, with this difference growing from 2–4 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Table 4 summarizes this by showing the annual carbon emissions for each model required to achieve a 2 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century global warming rate.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e4984">Global mean atmospheric <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (atm.<inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in ppm, <bold>a</bold>) and GMSAT (<inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <bold>b</bold>) for the piControl (full line), ramp-up (full line) and zero-emission runs at <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (dashed lines) and 4 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (dotted lines), as simulated by nine ESMs (listed in the figure legend).</p></caption>
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/6941/2026/gmd-19-6941-2026-f03.png"/>

      </fig>

<table-wrap id="T4"><label>Table 4</label><caption><p id="d2e5063">Annual carbon emissions in <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> applied to each model to simulate a global mean surface air temperature increase of 2 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century in the positive emission phase of the protocol.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Model</oasis:entry>
         <oasis:entry colname="col2">Carbon emissions</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">ACCESS-ESM1.5</oasis:entry>
         <oasis:entry colname="col2">12.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CESM2</oasis:entry>
         <oasis:entry colname="col2">10.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CNRM-ESM2</oasis:entry>
         <oasis:entry colname="col2">11.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC-Earth3</oasis:entry>
         <oasis:entry colname="col2">12.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GFDL_ESM2M</oasis:entry>
         <oasis:entry colname="col2">18.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MIROC_ES2 L</oasis:entry>
         <oasis:entry colname="col2">15.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NASA-GISS</oasis:entry>
         <oasis:entry colname="col2">11.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NorESM2_LM</oasis:entry>
         <oasis:entry colname="col2">16.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UKESM1.2</oasis:entry>
         <oasis:entry colname="col2">8.0</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e5230">The ZEC response (trend in GMSAT) at 2 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> varies across models. A few models show negative ZEC and a few positive. While the ensemble mean ZEC is close to zero, it is important to highlight the uncertainty in ZEC at 100 years is <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (or <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % of the total warming). The spread in ZEC increases at <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, with an increased tendency for positive ZEC across models, with a few models also suggesting ZEC becomes progressively more positive with time through the zero-emission run. The sensitivity of ZEC to the level of global warming at which zero emission are initiated, as well as to the duration of zero-emissions, is being investigated using the TIPMIP multi-model ensemble and will be reported in a forthcoming paper.</p>
      <p id="d2e5293">In Fig. 4 we plot the change in atm.<inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and GMSAT in the zero-emission run normalized to zero at the start value of each run. For atm.<inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> we plot both the absolute change (in ppm) and the fractional change relative to the start value. Absolute atm.<inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decreases slightly more rapidly in the <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> zero-emission run than in the one started at <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. When plotted as a fractional change there is less difference in the atm.<inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> trend between these two GWLs. The absolute change in GMSAT, relative to the value at the start of the zero-emission run, is generally more positive at <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> than at <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (i.e. only one model shows a very slight negative ZEC at <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> while five models clearly show a significant positive ZEC at this GWL that is more positive than the value at <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e5452">Change in global mean atmospheric <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration and GMSAT for the two zero-emission runs expressed as anomalies relative to each value at the start of the respective zero-emission run. <bold>(a)</bold> Absolute change in atm.<inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> fractional change in atm.<inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(c)</bold> change in GMSAT in <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/6941/2026/gmd-19-6941-2026-f04.png"/>

      </fig>

</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Summary and conclusions</title>
      <p id="d2e5530">We have introduced a new ESM experiment protocol, developed as part of the TIPMIP project (Winkelmann et al., 2025). The protocol assumes ESMs are run in <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission mode. The protocol requires a constant emission of <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, derived from each model's TCRE, to give a global mean warming rate of 2 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per century. At specified levels of global warming (2 and 4 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) relative to each model's pre-industrial global mean surface air temperature (GMSAT), <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are set to net zero and runs branched into zero-emission experiments that continue for 300 years (500 years if possible). 50 years into each zero-emission run, <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are set to the negative of the positive emission rate used in the ramp-up. These two negative <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emission runs (started from zero emission runs at <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and 4 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) are continued until GMSAT cools below the original pre-industrial GMSAT. When the negative emission run started from <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> first drops below <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> a zero-emission run is branched off this, completing the Tier 1 set of experiments.</p>
      <p id="d2e5667">While this experiment protocol is highly idealized (using only <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions as a surrogate for all anthropogenic forcing), the resulting ensemble can be used to investigate (i) the risks, consequences, and drivers of abrupt/rapid Earth system change (tipping points) under net zero <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission, initiated at two global warming levels, (ii) the long-term response of the Earth system to net zero <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, (iii) the behaviour of the Earth system under prescribed net negative <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions following a specified (magnitude and duration) of global warming overshoot, (iv) the efficacy of net negative <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in driving global cooling, and (v) the reversibility of Earth system change under a pathway of positive (warming), zero (near stabilization), and negative (cooling) <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. The primary advantage of the protocol is that we can control the rate of global warming and (potentially) cooling across models, using a TCRE-based <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission rate specific to each model.  This enables a multi-model intercomparison of the above topics in a near common global warming/cooling space.</p>
      <p id="d2e5748">An initial analysis of the TIPMIP simulations shows that if <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions drop to zero by <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, averaged across participating models, global warming will cease. This corresponds to achieving “Net Zero”. If, on the other hand, net-zero emissions are not realized until <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mtext>GWL</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, our results suggest a continued, slow global warming for centuries thereafter, emphasizing the need (and benefits) of realizing Net Zero as rapidly as possible. The TIPMIP simulations will be extensively used to understand the mechanisms controlling the climate response after net zero emissions are reached, including the evolution of regional patterns of changes. In addition, the simulations will help in understanding the degree of climate reversibility at regional scales after a global warming overshoot, negative emissions and associated global cooling.</p>
      <p id="d2e5798">The protocol has now been run by 12 ESMs, and a common set of diagnostics is in the process of being published on the Earth System Grid Federation (ESGF), initially following the CMIP6plus protocol and subsequently CMIP7.  We envisage further developing the Tier 1 experiment protocol in the coming years as part of CMIP7.</p>
</sec>

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

      <p id="d2e5805">The plotting code and the underpinning data behind Figs. 2–4 is available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.17055322" ext-link-type="DOI">10.5281/zenodo.17055322</ext-link>  (Bossert, 2025). ASCII files are presented for each model for global mean surface air temperature (GMSAT) and global mean atmospheric <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (atm.<inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). No other original datasets were used in this article.</p>

      <p id="d2e5833">The diagnostic request for the TIPMIP ESM phase 1 experiments is available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.15189530" ext-link-type="DOI">10.5281/zenodo.15189530</ext-link> (Licon-Salaiz, 2025).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5842">CJ wrote the paper, with text contributions from DPD, CDJ, TK, SL, BS, RS, KW and SY. IB analysed the TIPMIP ESM results and made Figs. 2–4. HAJ made Fig. 1 and prepared the manuscript for submission to GMD. All authors (i) contributed to the development of the TIPMIP ESM experiment protocol and (ii) commented on, and contributed, to the developing paper. A number of co-authors ran the ESM experiments outlined in the paper and submitted results that led to Figs. 2–4.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5848">At least one of the (co-)authors is a member of the editorial board of <italic>Geoscientific Model Development</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e5857">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="d2e5863">We acknowledge the Tipping Points Modelling Intercomparison Project (TIPMIP) and its participants for producing and publishing their simulation data. We thank the Max-Planck Institute of Geoanthropology (MPI-GEA) and the Potsdam Institute for Climate Impact Research (PIK) for coordinating TIPMIP and providing the infrastructure necessary to advance the project. We also thank the many people and institutions behind the Coupled Model Intercomparison Project (CMIP) and the Earth System Grid Federation (ESGF) for their guidance and support of initiatives such as TIPMIP. This is TIPMIP contribution #02.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5868">This research has been supported by TerraFIRMA “Future Impacts, Risks and Mitigation Actions in a changing Earth system”, funded by the UKRI Natural Environment Research Council (grant reference NE/W004895/1); “Progressing Earth System Modelling for Tipping Point Early Warning Systems”, PROMOTE (Grant number SCOP-PRO1-P027), part of the Forecasting Tipping Points programme of the Advanced Research <inline-formula><mml:math id="M339" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Invention Agency (ARIA); European Union Horizon 2020 project ESM2025 (grant agreement no. 101003536); Horizon Europe project OptimESM “Optimal High Resolution Earth System Models for Exploring Future Climate Changes” (grant agreement no. 101081193); the UK government's Horizon Europe funding guarantee (grant numbers, 10103098, 10043072); TipESM “Exploring Tipping Points and Their Impacts Using Earth System Models” funded by the European Union (grant agreement no. 101137673.  DOI: 10.3030/101137673, TipESM contribution no. 03); ClimTip “Quantifying climate tipping points and their impacts” funded by the European Union's Horizon Europe programme. (grant agreement no. 101137601, ClimTip contribution #78); OCEAN ICE “Ocean Cryosphere Exchanges in ANtarctica: Impacts on Climate and the Earth system” funded by the European Union (grant agreement no. 101060452, 10.3030/101060452); OceanICU “Understanding Ocean Carbon” funded by European Union Horizon Europe (grant agreement no.  101083922); European Research Council Q-ARCTIC (grant agreement no. 951288); the Met Office Hadley Centre Climate Programme funded by DSIT; Research Council of Norway under grant agreements, TRIFECTA (334811) and NAVIGATE (352142); the Program for the Advanced Studies of Climate Change Projection (SENTAN; grant no. JPMXD0722681344) from the Ministry of Education, Culture, Sports, Science and Technology, Japan; the Australian Government under the National Environmental Science Program (NESP); the German Federal Ministry of Education and Research project MOMENT (BMBF 03F0931F); the US National Science Foundation (NSF) National Center for Atmospheric Research (NCAR) under Cooperative Agreement no. 1852977; Regional and Global Model Analysis (RGMA) component of the Earth and Environmental System Modeling Program of the U.S. Department of Energy's Office of Biological &amp; Environmental Research (BER) via National Science Foundation (NSF) IA 1947282 (DE-SC0022070); NASA-Modelling Analysis and Prediction, ModelE development and N3-MAP23-0018, NNH23ZDA001N-MAP.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5881">This paper was edited by Jinkyu Hong and reviewed by Kirsten Zickfeld, Carl-Friedrich Schleussner, and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Allen, M. R., Frame, D. J., Huntingford, C., Jones, C. D., Lowe, J. A., Meinshausen, M., and Meinshausen, N.: Warming caused by cumulative carbon emissions towards the trillionth tonne, Nature, 458, 1163–1166,  <ext-link xlink:href="https://doi.org/10.1038/nature08019" ext-link-type="DOI">10.1038/nature08019</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Allen, M. R., Friedlingstein, P., Girardin, C. A. J., Jenkins, S., Malhi, Y., Mitchell-Larson, E., Peters, G. P., and Rajamani, L.: Net Zero: Science, Origins, and Implications, Annu. Rev. Env. Resour., 47, 849–887,  <ext-link xlink:href="https://doi.org/10.1146/annurev-environ-112320-105050" ext-link-type="DOI">10.1146/annurev-environ-112320-105050</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Andrews, T., Andrews, M. B., Bodas-Salcedo, A., Jones, G. S., Kuhlbrodt, T., Manners, J., Menary, M. B., Ridley, J., Ringer, M. A., Sellar, A. A., Senior, C. A., and Tang, Y.: Forcings, Feedbacks, and Climate Sensitivity in HadGEM3-GC3.1 and UKESM1, J. Adv. Model. Earth Sy., 11, 4377–4394,  <ext-link xlink:href="https://doi.org/10.1029/2019ms001866" ext-link-type="DOI">10.1029/2019ms001866</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Armstrong McKay, D. I., Staal, A., Abrams, J. F., Winkelmann, R., Sakschewski, B., Loriani, S., Fetzer, I., Cornell, S. E., Rockström, J., and Lenton, T. M.: Exceeding 1.5 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> global warming could trigger multiple climate tipping points, Science, 377, <ext-link xlink:href="https://doi.org/10.1126/science.abn7950" ext-link-type="DOI">10.1126/science.abn7950</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Arora, V. K., Katavouta, A., Williams, R. G., Jones, C. D., Brovkin, V., Friedlingstein, P., Schwinger, J., Bopp, L., Boucher, O., Cadule, P., Chamberlain, M. A., Christian, J. R., Delire, C., Fisher, R. A., Hajima, T., Ilyina, T., Joetzjer, E., Kawamiya, M., Koven, C. D., Krasting, J. P., Law, R. M., Lawrence, D. M., Lenton, A., Lindsay, K., Pongratz, J., Raddatz, T., Séférian, R., Tachiiri, K., Tjiputra, J. F., Wiltshire, A., Wu, T., and Ziehn, T.: Carbon–concentration and carbon–climate feedbacks in CMIP6 models and their comparison to CMIP5 models, Biogeosciences, 17, 4173–4222, <ext-link xlink:href="https://doi.org/10.5194/bg-17-4173-2020" ext-link-type="DOI">10.5194/bg-17-4173-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Ben-Yami, M., Good, P., Jackson, L. C., Crucifix, M., Hu, A., Saenko, O., Swingedouw, D., and Boers, N.: Impacts of AMOC Collapse on Monsoon Rainfall: A Multi-Model Comparison, Earths Future, 12,  <ext-link xlink:href="https://doi.org/10.1029/2023ef003959" ext-link-type="DOI">10.1029/2023ef003959</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Bochow, N. and Boers, N.: The South American monsoon approaches a critical transition in response to deforestation, Sci. Adv., 9,  <ext-link xlink:href="https://doi.org/10.1126/sciadv.add9973" ext-link-type="DOI">10.1126/sciadv.add9973</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Boers, N., Marwan, N., Barbosa, H. M. J., and Kurths, J.: A deforestation-induced tipping point for the South American monsoon system, Sci. Rep.-UK, 7,  <ext-link xlink:href="https://doi.org/10.1038/srep41489" ext-link-type="DOI">10.1038/srep41489</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Booth, B. B. B., Jones, C. D., Collins, M., Totterdell, I. J., Cox, P. M., Sitch, S., Huntingford, C., Betts, R. A., Harris, G. R., and Lloyd, J.: High sensitivity of future global warming to land carbon cycle processes, Environ. Res. Lett., 7, 024002,  <ext-link xlink:href="https://doi.org/10.1088/1748-9326/7/2/024002" ext-link-type="DOI">10.1088/1748-9326/7/2/024002</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Bossert, I.: The TIPMIP Earth system model experiment protocol: phase1-datasets for Figs. 2, 3 and 4: v1 (v1), Zenodo [code and data set], <ext-link xlink:href="https://doi.org/10.5281/zenodo.17055322" ext-link-type="DOI">10.5281/zenodo.17055322</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Boulton, C. A., Lenton, T. M., and Boers, N.: Pronounced loss of Amazon rainforest resilience since the early 2000s, Nat. Clim. Change, 12, 271–278, <ext-link xlink:href="https://doi.org/10.1038/s41558-022-01287-8" ext-link-type="DOI">10.1038/s41558-022-01287-8</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Burke, E. J., Zhang, Y., and Krinner, G.: Evaluating permafrost physics in the Coupled Model Intercomparison Project 6 (CMIP6) models and their sensitivity to climate change, The Cryosphere, 14, 3155–3174, <ext-link xlink:href="https://doi.org/10.5194/tc-14-3155-2020" ext-link-type="DOI">10.5194/tc-14-3155-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Caesar, L., Rahmstorf, S., Robinson, A., Feulner, G., and Saba, V.: Observed fingerprint of a weakening Atlantic Ocean overturning circulation, Nature, 556, 191–196,  <ext-link xlink:href="https://doi.org/10.1038/s41586-018-0006-5" ext-link-type="DOI">10.1038/s41586-018-0006-5</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Caesar, L., McCarthy, G. D., Thornalley, D. J. R., Cahill, N., and Rahmstorf, S.: Current Atlantic Meridional Overturning Circulation weakest in last millennium, Nat. Geosci., 14, 118–120,  <ext-link xlink:href="https://doi.org/10.1038/s41561-021-00699-z" ext-link-type="DOI">10.1038/s41561-021-00699-z</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Cassidy, L. J., King, A. D., Brown, J. R., MacDougall, A. H., Ziehn, T., Min, S.-K., and Jones, C. D.: Regional temperature extremes and vulnerability under net zero <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, Environ. Res. Lett., 19, 014051, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ad114a" ext-link-type="DOI">10.1088/1748-9326/ad114a</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Chamberlain, M. A., Ziehn, T., and Law, R. M.: The Southern Ocean as the climate's freight train – driving ongoing global warming under zero-emission scenarios with ACCESS-ESM1.5, Biogeosciences, 21, 3053–3073, <ext-link xlink:href="https://doi.org/10.5194/bg-21-3053-2024" ext-link-type="DOI">10.5194/bg-21-3053-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Chapman, R., Sinet, S., and Ritchie, P. D. L.: Tipping mechanisms in a conceptual model of the Atlantic Meridional Overturning Circulation, Weather, 79, 316–323,  <ext-link xlink:href="https://doi.org/10.1002/wea.7609" ext-link-type="DOI">10.1002/wea.7609</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Chen, X. and Tung, K.-K.: Global surface warming enhanced by weak Atlantic overturning circulation, Nature, 559, 387–391,  <ext-link xlink:href="https://doi.org/10.1038/s41586-018-0320-y" ext-link-type="DOI">10.1038/s41586-018-0320-y</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Chimuka, V. R. and Zickfeld, K.: Asymmetry in carbon cycle feedbacks and transient climate response under positive and negative <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, EGUsphere [preprint], <ext-link xlink:href="https://doi.org/10.5194/egusphere-2025-6405" ext-link-type="DOI">10.5194/egusphere-2025-6405</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Cox, P. M., Betts, R. A., Jones, C. D., Spall, S. A., and Totterdell, I. J.: Acceleration of global warming due to carbon-cycle feedbacks in a coupled climate model, Nature, 408, 184–187,  <ext-link xlink:href="https://doi.org/10.1038/35041539" ext-link-type="DOI">10.1038/35041539</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Da Cruz, D. C., Benayas, J. M. R., Ferreira, G. C., Santos, S. R., and Schwartz, G.: An overview of forest loss and restoration in the Brazilian Amazon, New Forest., 52, 1–16,  <ext-link xlink:href="https://doi.org/10.1007/s11056-020-09777-3" ext-link-type="DOI">10.1007/s11056-020-09777-3</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>De Vrese, P. and Brovkin, V.: Timescales of the permafrost carbon cycle and legacy effects of temperature overshoot scenarios, Nat. Commun., 12,  <ext-link xlink:href="https://doi.org/10.1038/s41467-021-23010-5" ext-link-type="DOI">10.1038/s41467-021-23010-5</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Defrance, D., Ramstein, G., Charbit, S., Vrac, M., Famien, A. M., Sultan, B., Swingedouw, D., Dumas, C., Gemenne, F., Alvarez-Solas, J., and Vanderlinden, J.-P.: Consequences of rapid ice sheet melting on the Sahelian population vulnerability, P. Natl. Acad. Sci. USA, 114, 6533–6538,  <ext-link xlink:href="https://doi.org/10.1073/pnas.1619358114" ext-link-type="DOI">10.1073/pnas.1619358114</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>DeVries, T., Holzer, M., and Primeau, F.: Recent increase in oceanic carbon uptake driven by weaker upper-ocean overturning, Nature, 542, 215–218,  <ext-link xlink:href="https://doi.org/10.1038/nature21068" ext-link-type="DOI">10.1038/nature21068</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Drijfhout, S., Bathiany, S., Beaulieu, C., Brovkin, V., Claussen, M., Huntingford, C., Scheffer, M., Sgubin, G., and Swingedouw, D.: Catalogue of abrupt shifts in Intergovernmental Panel on Climate Change climate models, P. Natl. Acad. Sci. USA, 112,  <ext-link xlink:href="https://doi.org/10.1073/pnas.1511451112" ext-link-type="DOI">10.1073/pnas.1511451112</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Dunne, J. P., John, J. G., Shevliakova, E., Stouffer, R. J., Krasting, J. P., Malyshev, S. L., Milly, P. C. D., Sentman, L. T., Adcroft, A. J., Cooke, W., Dunne, K. A., Griffies, S. M., Hallberg, R. W., Harrison, M. J., Levy, H., Wittenberg, A. T., Phillips, P. J., and Zadeh, N.: GFDL's ESM2 Global Coupled Climate–Carbon Earth System Models. Part II: Carbon System Formulation and Baseline Simulation Characteristics*, J. Climate, 26, 2247–2267, <ext-link xlink:href="https://doi.org/10.1175/jcli-d-12-00150.1" ext-link-type="DOI">10.1175/jcli-d-12-00150.1</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Dunne, J. P., Hewitt, H. T., Arblaster, J. M., Bonou, F., Boucher, O., Cavazos, T., Dingley, B., Durack, P. J., Hassler, B., Juckes, M., Miyakawa, T., Mizielinski, M., Naik, V., Nicholls, Z., O'Rourke, E., Pincus, R., Sanderson, B. M., Simpson, I. R., and Taylor, K. E.: An evolving Coupled Model Intercomparison Project phase 7 (CMIP7) and Fast Track in support of future climate assessment, Geosci. Model Dev., 18, 6671–6700, <ext-link xlink:href="https://doi.org/10.5194/gmd-18-6671-2025" ext-link-type="DOI">10.5194/gmd-18-6671-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</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, <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.bib29"><label>29</label><mixed-citation>Evin, G., Ribes, A., and Corre, L.: Assessing CMIP6 uncertainties at global warming levels, Clim. Dynam., 62, 8057–8072,  <ext-link xlink:href="https://doi.org/10.1007/s00382-024-07323-x" ext-link-type="DOI">10.1007/s00382-024-07323-x</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Fankhauser, S., Smith, S. M., Allen, M., Axelsson, K., Hale, T., Hepburn, C., Kendall, J. M., Khosla, R., Lezaun, J., Mitchell-Larson, E., Obersteiner, M., Rajamani, L., Rickaby, R., Seddon, N., and Wetzer, T.: The meaning of net zero and how to get it right, Nat. Clim. Change, 12, 15–21,  <ext-link xlink:href="https://doi.org/10.1038/s41558-021-01245-w" ext-link-type="DOI">10.1038/s41558-021-01245-w</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Feldmann, J. and Levermann, A.: Collapse of the West Antarctic Ice Sheet after local destabilization of the Amundsen Basin, P. Natl. Acad. Sci. USA, 112, 14191–14196,  <ext-link xlink:href="https://doi.org/10.1073/pnas.1512482112" ext-link-type="DOI">10.1073/pnas.1512482112</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Fischer, E. M., Sippel, S., and Knutti, R.: Increasing probability of record-shattering climate extremes, Nat. Clim. Change, 11, 689–695,  <ext-link xlink:href="https://doi.org/10.1038/s41558-021-01092-9" ext-link-type="DOI">10.1038/s41558-021-01092-9</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Flores, B. M., Montoya, E., Sakschewski, B., Nascimento, N., Staal, A., Betts, R. A., Levis, C., Lapola, D. M., Esquível-Muelbert, A., Jakovac, C., Nobre, C. A., Oliveira, R. S., Borma, L. S., Nian, D., Boers, N., Hecht, S. B., Ter Steege, H., Arieira, J., Lucas, I. L., Berenguer, E., Marengo, J. A., Gatti, L. V., Mattos, C. R. C., and Hirota, M.: Critical transitions in the Amazon forest system, Nature, 626, 555–564, <ext-link xlink:href="https://doi.org/10.1038/s41586-023-06970-0" ext-link-type="DOI">10.1038/s41586-023-06970-0</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Fons, E., Runge, J., Neubauer, D., and Lohmann, U.: Stratocumulus adjustments to aerosol perturbations disentangled with a causal approach, npj Clim. Atmos. Sci., 6,  <ext-link xlink:href="https://doi.org/10.1038/s41612-023-00452-w" ext-link-type="DOI">10.1038/s41612-023-00452-w</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>Foster, G. and Rahmstorf, S.: Global Warming Has Accelerated Significantly, Geophys. Res. Lett., 53, e2025GL118804,  <ext-link xlink:href="https://doi.org/10.1029/2025GL118804" ext-link-type="DOI">10.1029/2025GL118804</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Franzke, C. L. E., Ciullo, A., Gilmore, E. A., Matias, D. M., Nagabhatla, N., Orlov, A., Paterson, S. K., Scheffran, J., and Sillmann, J.: Perspectives on tipping points in integrated models of the natural and human Earth system: cascading effects and telecoupling, Environ. Res. Lett., 17, 015004,  <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ac42fd" ext-link-type="DOI">10.1088/1748-9326/ac42fd</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Fraser, N. J. and Cunningham, S. A.: 120 Years of AMOC Variability Reconstructed From Observations Using the Bernoulli Inverse, Geophys. Res. Lett., 48,  <ext-link xlink:href="https://doi.org/10.1029/2021gl093893" ext-link-type="DOI">10.1029/2021gl093893</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Friedlingstein, P., O'Sullivan, M., Jones, M. W., Andrew, R. M., Hauck, J., Landschützer, P., Le Quéré, C., Li, H., Luijkx, I. T., Olsen, A., Peters, G. P., Peters, W., Pongratz, J., Schwingshackl, C., Sitch, S., Canadell, J. G., Ciais, P., Jackson, R. B., Alin, S. R., Arneth, A., Arora, V., Bates, N. R., Becker, M., Bellouin, N., Berghoff, C. F., Bittig, H. C., Bopp, L., Cadule, P., Campbell, K., Chamberlain, M. A., Chandra, N., Chevallier, F., Chini, L. P., Colligan, T., Decayeux, J., Djeutchouang, L. M., Dou, X., Duran Rojas, C., Enyo, K., Evans, W., Fay, A. R., Feely, R. A., Ford, D. J., Foster, A., Gasser, T., Gehlen, M., Gkritzalis, T., Grassi, G., Gregor, L., Gruber, N., Gürses, Ö., Harris, I., Hefner, M., Heinke, J., Hurtt, G. C., Iida, Y., Ilyina, T., Jacobson, A. R., Jain, A. K., Jarníková, T., Jersild, A., Jiang, F., Jin, Z., Kato, E., Keeling, R. F., Klein Goldewijk, K., Knauer, J., Korsbakken, J. I., Lan, X., Lauvset, S. K., Lefèvre, N., Liu, Z., Liu, J., Ma, L., Maksyutov, S., Marland, G., Mayot, N., McGuire, P. C., Metzl, N., Monacci, N. M., Morgan, E. J., Nakaoka, S.-I., Neill, C., Niwa, Y., Nützel, T., Olivier, L., Ono, T., Palmer, P. I., Pierrot, D., Qin, Z., Resplandy, L., Roobaert, A., Rosan, T. M., Rödenbeck, C., Schwinger, J., Smallman, T. L., Smith, S. M., Sospedra-Alfonso, R., Steinhoff, T., Sun, Q., Sutton, A. J., Séférian, R., Takao, S., Tatebe, H., Tian, H., Tilbrook, B., Torres, O., Tourigny, E., Tsujino, H., Tubiello, F., van der Werf, G., Wanninkhof, R., Wang, X., Yang, D., Yang, X., Yu, Z., Yuan, W., Yue, X., Zaehle, S., Zeng, N., and Zeng, J.: Global Carbon Budget 2024, Earth Syst. Sci. Data, 17, 965–1039, <ext-link xlink:href="https://doi.org/10.5194/essd-17-965-2025" ext-link-type="DOI">10.5194/essd-17-965-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Frieler, K., Volkholz, J., Lange, S., Schewe, J., Mengel, M., del Rocío Rivas López, M., Otto, C., Reyer, C. P. O., Karger, D. N., Malle, J. T., Treu, S., Menz, C., Blanchard, J. L., Harrison, C. S., Petrik, C. M., Eddy, T. D., Ortega-Cisneros, K., Novaglio, C., Rousseau, Y., Watson, R. A., Stock, C., Liu, X., Heneghan, R., Tittensor, D., Maury, O., Büchner, M., Vogt, T., Wang, T., Sun, F., Sauer, I. J., Koch, J., Vanderkelen, I., Jägermeyr, J., Müller, C., Rabin, S., Klar, J., Vega del Valle, I. D., Lasslop, G., Chadburn, S., Burke, E., Gallego-Sala, A., Smith, N., Chang, J., Hantson, S., Burton, C., Gädeke, A., Li, F., Gosling, S. N., Müller Schmied, H., Hattermann, F., Wang, J., Yao, F., Hickler, T., Marcé, R., Pierson, D., Thiery, W., Mercado-Bettín, D., Ladwig, R., Ayala-Zamora, A. I., Forrest, M., and Bechtold, M.: Scenario setup and forcing data for impact model evaluation and impact attribution within the third round of the Inter-Sectoral Impact Model Intercomparison Project (ISIMIP3a), Geosci. Model Dev., 17, 1–51, <ext-link xlink:href="https://doi.org/10.5194/gmd-17-1-2024" ext-link-type="DOI">10.5194/gmd-17-1-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Fröb, F., Bourgeois, T., Goris, N., Schwinger, J., and Heinze, C.: Simulated Abrupt Shifts in Aerobic Habitats of Marine Species in the Past, Present, and Future, Earths Future, 12, <ext-link xlink:href="https://doi.org/10.1029/2023ef004141" ext-link-type="DOI">10.1029/2023ef004141</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Frölicher, T. L. and Joos, F.: Reversible and irreversible impacts of greenhouse gas emissions in multi-century projections with the NCAR global coupled carbon cycle-climate model, Clim. Dyna,, 35, 1439–1459, <ext-link xlink:href="https://doi.org/10.1007/s00382-009-0727-0" ext-link-type="DOI">10.1007/s00382-009-0727-0</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Frölicher, T. L. and Paynter, D. J.: Extending the relationship between global warming and cumulative carbon emissions to multi-millennial timescales, Environ. Res. Lett., 10, 075002, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/10/7/075002" ext-link-type="DOI">10.1088/1748-9326/10/7/075002</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Garbe, J., Albrecht, T., Levermann, A., Donges, J. F., and Winkelmann, R.: The hysteresis of the Antarctic Ice Sheet, Nature, 585, 538–544,  <ext-link xlink:href="https://doi.org/10.1038/s41586-020-2727-5" ext-link-type="DOI">10.1038/s41586-020-2727-5</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Gerten, D., Lucht, W., Ostberg, S., Heinke, J., Kowarsch, M., Kreft, H., Kundzewicz, Z. W., Rastgooy, J., Warren, R., and Schellnhuber, H. J.: Asynchronous exposure to global warming: freshwater resources and terrestrial ecosystems, Environ. Res. Lett., 8, 034032,  <ext-link xlink:href="https://doi.org/10.1088/1748-9326/8/3/034032" ext-link-type="DOI">10.1088/1748-9326/8/3/034032</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Gidden, M. J., Riahi, K., Smith, S. J., Fujimori, S., Luderer, G., Kriegler, E., van Vuuren, D. P., van den Berg, M., Feng, L., Klein, D., Calvin, K., Doelman, J. C., Frank, S., Fricko, O., Harmsen, M., Hasegawa, T., Havlik, P., Hilaire, J., Hoesly, R., Horing, J., Popp, A., Stehfest, E., and Takahashi, K.: Global emissions pathways under different socioeconomic scenarios for use in CMIP6: a dataset of harmonized emissions trajectories through the end of the century, Geosci. Model Dev., 12, 1443–1475, <ext-link xlink:href="https://doi.org/10.5194/gmd-12-1443-2019" ext-link-type="DOI">10.5194/gmd-12-1443-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Gidden, M. J., Joshi, S., Armitage, J. J., Christ, A.-B., Boettcher, M., Brutschin, E., Köberle, A. C., Riahi, K., Schellnhuber, H. J., Schleussner, C.-F., and Rogelj, J.: A prudent planetary limit for geologic carbon storage, Nature, 645, 124–132, <ext-link xlink:href="https://doi.org/10.1038/s41586-025-09423-y" ext-link-type="DOI">10.1038/s41586-025-09423-y</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Gillett, N. P., Arora, V. K., Zickfeld, K., Marshall, S. J., and Merryfield, W. J.: Ongoing climate change following a complete cessation of carbon dioxide emissions, Nat. Geosci., 4, 83–87,  <ext-link xlink:href="https://doi.org/10.1038/ngeo1047" ext-link-type="DOI">10.1038/ngeo1047</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Gillett, N. P., Kirchmeier-Young, M., Ribes, A., Shiogama, H., Hegerl, G. C., Knutti, R., Gastineau, G., John, J. G., Li, L., Nazarenko, L., Rosenbloom, N., Seland, Ø., Wu, T., Yukimoto, S., and Ziehn, T.: Constraining human contributions to observed warming since the pre-industrial period, Nat. Clim. Change, 11, 207–212, <ext-link xlink:href="https://doi.org/10.1038/s41558-020-00965-9" ext-link-type="DOI">10.1038/s41558-020-00965-9</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>Golledge, N. R., Levy, R. H., McKay, R. M., and Naish, T. R.: East Antarctic ice sheet most vulnerable to Weddell Sea warming, Geophys. Res. Lett., 44, 2343–2351,  <ext-link xlink:href="https://doi.org/10.1002/2016gl072422" ext-link-type="DOI">10.1002/2016gl072422</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>Good, P., Jones, C., Lowe, J., Betts, R., Booth, B., and Huntingford, C.: Quantifying Environmental Drivers of Future Tropical Forest Extent, J. Climate, 24, 1337–1349,  <ext-link xlink:href="https://doi.org/10.1175/2010jcli3865.1" ext-link-type="DOI">10.1175/2010jcli3865.1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>Gregory, J. M., George, S. E., and Smith, R. S.: Large and irreversible future decline of the Greenland ice sheet, The Cryosphere, 14, 4299–4322, <ext-link xlink:href="https://doi.org/10.5194/tc-14-4299-2020" ext-link-type="DOI">10.5194/tc-14-4299-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Heinze, C., Blenckner, T., Martins, H., Rusiecka, D., Döscher, R., Gehlen, M., Gruber, N., Holland, E., Hov, Ø., Joos, F., Matthews, J. B. R., Rødven, R., and Wilson, S.: The quiet crossing of ocean tipping points, P. Natl. Acad. Sci. USA, 118, <ext-link xlink:href="https://doi.org/10.1073/pnas.2008478118" ext-link-type="DOI">10.1073/pnas.2008478118</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Heinze, C., Blenckner, T., Brown, P., Fröb, F., Morée, A., New, A. L., Nissen, C., Rynders, S., Seguro, I., Aksenov, Y., Artioli, Y., Bourgeois, T., Burger, F., Buzan, J., Cael, B. B., Yumruktepe, V. Ç., Chierici, M., Danek, C., Dieckmann, U., Fransson, A., Frölicher, T., Galli, G., Gehlen, M., González, A. G., Gonzalez-Davila, M., Gruber, N., Gustafsson, Ö., Hauck, J., Heino, M., Henson, S., Hieronymus, J., Huertas, I. E., Jebri, F., Jeltsch-Thömmes, A., Joos, F., Joshi, J., Kelly, S., Menon, N., Mongwe, P., Oziel, L., Ólafsdottir, S., Palmieri, J., Pérez, F. F., Ranith, R. P., Ramanantsoa, J., Roy, T., Rusiecka, D., Santana Casiano, J. M., Santana-Falcón, Y., Schwinger, J., Séférian, R., Seifert, M., Shchiptsova, A., Sinha, B., Somes, C., Steinfeldt, R., Tao, D., Tjiputra, J., Ulfsbo, A., Völker, C., Wakamatsu, T., and Ye, Y.: Reviews and syntheses: Abrupt ocean biogeochemical change under human-made climatic forcing – warming, acidification, and deoxygenation, Biogeosciences Discuss. [preprint], <ext-link xlink:href="https://doi.org/10.5194/bg-2023-182" ext-link-type="DOI">10.5194/bg-2023-182</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>Held, I. M., Winton, M., Takahashi, K., Delworth, T., Zeng, F., and Vallis, G. K.: Probing the Fast and Slow Components of Global Warming by Returning Abruptly to Preindustrial Forcing, J. Climate, 23, 2418–2427,  <ext-link xlink:href="https://doi.org/10.1175/2009jcli3466.1" ext-link-type="DOI">10.1175/2009jcli3466.1</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>Heuzé, C. and Jahn, A.: The first ice-free day in the Arctic Ocean could occur before 2030, Nat. Commun., 15, <ext-link xlink:href="https://doi.org/10.1038/s41467-024-54508-3" ext-link-type="DOI">10.1038/s41467-024-54508-3</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Höning, D., Willeit, M., Calov, R., Klemann, V., Bagge, M., and Ganopolski, A.: Multistability and Transient Response of the Greenland Ice Sheet to Anthropogenic <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Emissions, Geophys. Res. Lett., 50, <ext-link xlink:href="https://doi.org/10.1029/2022gl101827" ext-link-type="DOI">10.1029/2022gl101827</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>Horton, D. E., Johnson, N. C., Singh, D., Swain, D. L., Rajaratnam, B., and Diffenbaugh, N. S.: Contribution of changes in atmospheric circulation patterns to extreme temperature trends, Nature, 522, 465–469,  <ext-link xlink:href="https://doi.org/10.1038/nature14550" ext-link-type="DOI">10.1038/nature14550</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Hu, A., Otto-Bliesner, B. L., Meehl, G. A., Han, W., Morrill, C., Brady, E. C., and Briegleb, B.: Response of Thermohaline Circulation to Freshwater Forcing under Present-Day and LGM Conditions, J. Climate, 21, 2239–2258,  <ext-link xlink:href="https://doi.org/10.1175/2007jcli1985.1" ext-link-type="DOI">10.1175/2007jcli1985.1</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><mixed-citation>IPCC: The Ocean and Cryosphere in a Changing Climate: Special Report of the Intergovernmental Panel on Climate Change, 1st edn., Cambridge University Press,  <ext-link xlink:href="https://doi.org/10.1017/9781009157964" ext-link-type="DOI">10.1017/9781009157964</ext-link>, 2022a.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><mixed-citation>IPCC: Global Warming of 1.5 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>: IPCC Special Report on Impacts of Global Warming of 1.5 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> above Pre-industrial Levels in Context of Strengthening Response to Climate Change, Sustainable Development, and Efforts to Eradicate Poverty, 1st edn., Cambridge University Press, <ext-link xlink:href="https://doi.org/10.1017/9781009157940" ext-link-type="DOI">10.1017/9781009157940</ext-link>, 2022b.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><mixed-citation>IPCC: Climate Change 2021 – The Physical Science Basis: Working Group I Contribution to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, 1st Edn., Cambridge University Press,  <ext-link xlink:href="https://doi.org/10.1017/9781009157896" ext-link-type="DOI">10.1017/9781009157896</ext-link>, 2023a.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>IPCC: Climate Change 2023: Synthesis Report, Summary for Policymakers. Contribution of Working Groups I, II and III to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, IPCC, Geneva, Switzerland,  <ext-link xlink:href="https://doi.org/10.59327/ipcc/ar6-9789291691647.001" ext-link-type="DOI">10.59327/ipcc/ar6-9789291691647.001</ext-link>, 2023b.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><mixed-citation>Jackson, L. C., Kahana, R., Graham, T., Ringer, M. A., Woollings, T., Mecking, J. V., and Wood, R. A.: Global and European climate impacts of a slowdown of the AMOC in a high resolution GCM, Clim. Dynam., 45, 3299–3316,  <ext-link xlink:href="https://doi.org/10.1007/s00382-015-2540-2" ext-link-type="DOI">10.1007/s00382-015-2540-2</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>Jackson, L. C., Alastrué de Asenjo, E., Bellomo, K., Danabasoglu, G., Haak, H., Hu, A., Jungclaus, J., Lee, W., Meccia, V. L., Saenko, O., Shao, A., and Swingedouw, D.: Understanding AMOC stability: the North Atlantic Hosing Model Intercomparison Project, Geosci. Model Dev., 16, 1975–1995, <ext-link xlink:href="https://doi.org/10.5194/gmd-16-1975-2023" ext-link-type="DOI">10.5194/gmd-16-1975-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>Jaureguiberry, P., Titeux, N., Wiemers, M., Bowler, D. E., Coscieme, L., Golden, A. S., Guerra, C. A., Jacob, U., Takahashi, Y., Settele, J., Díaz, S., Molnár, Z., and Purvis, A.: The direct drivers of recent global anthropogenic biodiversity loss, Sci. Adv., 8, <ext-link xlink:href="https://doi.org/10.1126/sciadv.abm9982" ext-link-type="DOI">10.1126/sciadv.abm9982</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><mixed-citation>Jeltsch-Thömmes, A., Stocker, T. F., and Joos, F.: Hysteresis of the Earth system under positive and negative <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, Environ. Res. Lett., 15, 124026, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/abc4af" ext-link-type="DOI">10.1088/1748-9326/abc4af</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><mixed-citation>Jensen, L., Gerdener, H., Eicker, A., Kusche, J., and Fiedler, S.: Observations indicate regionally misleading wetting and drying trends in CMIP6, npj Clim. Atmos. Sci., 7,  <ext-link xlink:href="https://doi.org/10.1038/s41612-024-00788-x" ext-link-type="DOI">10.1038/s41612-024-00788-x</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><mixed-citation>Jones, C. D. and Friedlingstein, P.: Quantifying process-level uncertainty contributions to TCRE and carbon budgets for meeting Paris Agreement climate targets, Environ. Res. Lett., 15, 074019,  <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ab858a" ext-link-type="DOI">10.1088/1748-9326/ab858a</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><mixed-citation>Jones, C. D., Ciais, P., Davis, S. J., Friedlingstein, P., Gasser, T., Peters, G. P., Rogelj, J., Van Vuuren, D. P., Canadell, J. G., Cowie, A., Jackson, R. B., Jonas, M., Kriegler, E., Littleton, E., Lowe, J. A., Milne, J., Shrestha, G., Smith, P., Torvanger, A., and Wiltshire, A.: Simulating the Earth system response to negative emissions, Environ. Res. Lett., 11, 095012,  <ext-link xlink:href="https://doi.org/10.1088/1748-9326/11/9/095012" ext-link-type="DOI">10.1088/1748-9326/11/9/095012</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><mixed-citation>Jones, C. D., Frölicher, T. L., Koven, C., MacDougall, A. H., Matthews, H. D., Zickfeld, K., Rogelj, J., Tokarska, K. B., Gillett, N. P., Ilyina, T., Meinshausen, M., Mengis, N., Séférian, R., Eby, M., and Burger, F. A.: The Zero Emissions Commitment Model Intercomparison Project (ZECMIP) contribution to C4MIP: quantifying committed climate changes following zero carbon emissions, Geosci. Model Dev., 12, 4375–4385, <ext-link xlink:href="https://doi.org/10.5194/gmd-12-4375-2019" ext-link-type="DOI">10.5194/gmd-12-4375-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><mixed-citation>Licon-Salaiz, J.: tipmip-methods/tipmip-data-req: v1.1.1 (v1.1.1),  Zenodo [code], <ext-link xlink:href="https://doi.org/10.5281/zenodo.15189530" ext-link-type="DOI">10.5281/zenodo.15189530</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><mixed-citation>Keller, D. P., Lenton, A., Scott, V., Vaughan, N. E., Bauer, N., Ji, D., Jones, C. D., Kravitz, B., Muri, H., and Zickfeld, K.: The Carbon Dioxide Removal Model Intercomparison Project (CDRMIP): rationale and experimental protocol for CMIP6, Geosci. Model Dev., 11, 1133–1160, <ext-link xlink:href="https://doi.org/10.5194/gmd-11-1133-2018" ext-link-type="DOI">10.5194/gmd-11-1133-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><mixed-citation>Kilbourne, K. H., Wanamaker, A. D., Moffa-Sanchez, P., Reynolds, D. J., Amrhein, D. E., Butler, P. G., Gebbie, G., Goes, M., Jansen, M. F., Little, C. M., Mette, M., Moreno-Chamarro, E., Ortega, P., Otto-Bliesner, B. L., Rossby, T., Scourse, J., and Whitney, N. M.: Atlantic circulation change still uncertain, Nat. Geosci., 15, 165–167,  <ext-link xlink:href="https://doi.org/10.1038/s41561-022-00896-4" ext-link-type="DOI">10.1038/s41561-022-00896-4</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><mixed-citation>Kim, S.-K. and An, S.-I.: Emergence of a climate oscillation in the Arctic Ocean due to global warming, Nat. Clim. Change, 14, 1268–1274,  <ext-link xlink:href="https://doi.org/10.1038/s41558-024-02171-3" ext-link-type="DOI">10.1038/s41558-024-02171-3</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><mixed-citation>King, A. D., Lane, T. P., Henley, B. J., and Brown, J. R.: Global and regional impacts differ between transient and equilibrium warmer worlds, Nat. Clim. Change, 10, 42–47,  <ext-link xlink:href="https://doi.org/10.1038/s41558-019-0658-7" ext-link-type="DOI">10.1038/s41558-019-0658-7</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><mixed-citation>King, A. D., Sniderman, J. M. K., Dittus, A. J., Brown, J. R., Hawkins, E., and Ziehn, T.: Studying climate stabilization at Paris Agreement levels, Nat. Clim. Change, 11, 1010–1013,  <ext-link xlink:href="https://doi.org/10.1038/s41558-021-01225-0" ext-link-type="DOI">10.1038/s41558-021-01225-0</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><mixed-citation>King, A. D., Ziehn, T., Chamberlain, M., Borowiak, A. R., Brown, J. R., Cassidy, L., Dittus, A. J., Grose, M., Maher, N., Paik, S., Perkins-Kirkpatrick, S. E., and Sengupta, A.: Exploring climate stabilisation at different global warming levels in ACCESS-ESM-1.5, Earth Syst. Dynam., 15, 1353–1383, <ext-link xlink:href="https://doi.org/10.5194/esd-15-1353-2024" ext-link-type="DOI">10.5194/esd-15-1353-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><mixed-citation>Kjellström, E., Nikulin, G., Strandberg, G., Christensen, O. B., Jacob, D., Keuler, K., Lenderink, G., van Meijgaard, E., Schär, C., Somot, S., Sørland, S. L., Teichmann, C., and Vautard, R.: European climate change at global mean temperature increases of 1.5 and 2 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> above pre-industrial conditions as simulated by the EURO-CORDEX regional climate models, Earth Syst. Dynam., 9, 459–478, <ext-link xlink:href="https://doi.org/10.5194/esd-9-459-2018" ext-link-type="DOI">10.5194/esd-9-459-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><mixed-citation>Klose, A. K., Karle, V., Winkelmann, R., and Donges, J. F.: Emergence of cascading dynamics in interacting tipping elements of ecology and climate, Roy. Soc. Open Sci., 7, 200599,  <ext-link xlink:href="https://doi.org/10.1098/rsos.200599" ext-link-type="DOI">10.1098/rsos.200599</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><mixed-citation>Klose, A. K., Donges, J. F., Feudel, U., and Winkelmann, R.: Rate-induced tipping cascades arising from interactions between the Greenland Ice Sheet and the Atlantic Meridional Overturning Circulation, Earth Syst. Dynam., 15, 635–652, <ext-link xlink:href="https://doi.org/10.5194/esd-15-635-2024" ext-link-type="DOI">10.5194/esd-15-635-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><mixed-citation>Koenigk, T., Bärring, L., Matei, D., Nikulin, G., Strandberg, G., Tyrlis, E., Wang, S., and Wilcke, R.: On the contribution of internal climate variability to European future climate trends, Tellus A, 72, 1788901, <ext-link xlink:href="https://doi.org/10.1080/16000870.2020.1788901" ext-link-type="DOI">10.1080/16000870.2020.1788901</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><mixed-citation>Koven, C. D.: Boreal carbon loss due to poleward shift in low-carbon ecosystems, Nat. Geosci., 6, 452–456,  <ext-link xlink:href="https://doi.org/10.1038/ngeo1801" ext-link-type="DOI">10.1038/ngeo1801</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib83"><label>83</label><mixed-citation>Koven, C. D., Arora, V. K., Cadule, P., Fisher, R. A., Jones, C. D., Lawrence, D. M., Lewis, J., Lindsay, K., Mathesius, S., Meinshausen, M., Mills, M., Nicholls, Z., Sanderson, B. M., Séférian, R., Swart, N. C., Wieder, W. R., and Zickfeld, K.: Multi-century dynamics of the climate and carbon cycle under both high and net negative emissions scenarios, Earth Syst. Dynam., 13, 885–909, <ext-link xlink:href="https://doi.org/10.5194/esd-13-885-2022" ext-link-type="DOI">10.5194/esd-13-885-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</label><mixed-citation>Koven, C. D., Sanderson, B. M., and Swann, A. L. S.: Much of zero emissions commitment occurs before reaching net zero emissions, Environ. Res. Lett., 18, 014017,  <ext-link xlink:href="https://doi.org/10.1088/1748-9326/acab1a" ext-link-type="DOI">10.1088/1748-9326/acab1a</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib85"><label>85</label><mixed-citation>Krasting, J. P., Dunne, J. P., Shevliakova, E., and Stouffer, R. J.: Trajectory sensitivity of the transient climate response to cumulative carbon emissions, Geophys. Res. Lett., 41, 2520–2527,  <ext-link xlink:href="https://doi.org/10.1002/2013gl059141" ext-link-type="DOI">10.1002/2013gl059141</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib86"><label>86</label><mixed-citation>Kubelka, V., Sandercock, B. K., Székely, T., and Freckleton, R. P.: Animal migration to northern latitudes: environmental changes and increasing threats, Trends Ecol. Evol., 37, 30–41, <ext-link xlink:href="https://doi.org/10.1016/j.tree.2021.08.010" ext-link-type="DOI">10.1016/j.tree.2021.08.010</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib87"><label>87</label><mixed-citation>Kug, J.-S., Oh, J.-H., An, S.-I., Yeh, S.-W., Min, S.-K., Son, S.-W., Kam, J., Ham, Y.-G., and Shin, J.: Hysteresis of the intertropical convergence zone to CO2 forcing, Nat. Clim. Change, 12, 47–53,  <ext-link xlink:href="https://doi.org/10.1038/s41558-021-01211-6" ext-link-type="DOI">10.1038/s41558-021-01211-6</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib88"><label>88</label><mixed-citation>Lacroix, F., Burger, F. A., Silvy, Y., Schleussner, C., and Frölicher, T. L.: Persistently Elevated High-Latitude Ocean Temperatures and Global Sea Level Following Temporary Temperature Overshoots, Earths Future, 12, <ext-link xlink:href="https://doi.org/10.1029/2024ef004862" ext-link-type="DOI">10.1029/2024ef004862</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib89"><label>89</label><mixed-citation>Lennard, C. J., Nikulin, G., Dosio, A., and Moufouma-Okia, W.: On the need for regional climate information over Africa under varying levels of global warming, Environ. Res. Lett., 13, 060401,  <ext-link xlink:href="https://doi.org/10.1088/1748-9326/aab2b4" ext-link-type="DOI">10.1088/1748-9326/aab2b4</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib90"><label>90</label><mixed-citation>Lenton, T. M.: Arctic Climate Tipping Points, AMBIO, 41, 10–22,  <ext-link xlink:href="https://doi.org/10.1007/s13280-011-0221-x" ext-link-type="DOI">10.1007/s13280-011-0221-x</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib91"><label>91</label><mixed-citation>Lenton, T. M., Held, H., Kriegler, E., Hall, J. W., Lucht, W., Rahmstorf, S., and Schellnhuber, H. J.: Tipping elements in the Earth's climate system, P. Natl. Acad. Sci. USA, 105, 1786–1793,  <ext-link xlink:href="https://doi.org/10.1073/pnas.0705414105" ext-link-type="DOI">10.1073/pnas.0705414105</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib92"><label>92</label><mixed-citation>Lenton, T. M., Rockström, J., Gaffney, O., Rahmstorf, S., Richardson, K., Steffen, W., and Schellnhuber, H. J.: Climate tipping points – too risky to bet against, Nature, 575, 592–595, <ext-link xlink:href="https://doi.org/10.1038/d41586-019-03595-0" ext-link-type="DOI">10.1038/d41586-019-03595-0</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib93"><label>93</label><mixed-citation>Lenton, T. M., Armstrong McKay, D. I., Loriani, S., Abrams, J. F., Lade, S. J., Donges, J. F., Milkoreit, M., Powell, T., Smith, S. R., Zimm, C., Buxton, J. E., Bailey, E., Laybourn, L., Ghadiali, A., and Dyke, J. G. (Eds.): The Global Tipping Points Report 2023, University of Exeter, Exeter, UK,  <ext-link xlink:href="https://doi.org/10.5281/zenodo.15188118" ext-link-type="DOI">10.5281/zenodo.15188118</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib94"><label>94</label><mixed-citation>Lenton, T. M., Abrams, J. F., Bartsch, A., Bathiany, S., Boulton, C. A., Buxton, J. E., Conversi, A., Cunliffe, A. M., Hebden, S., Lavergne, T., Poulter, B., Shepherd, A., Smith, T., Swingedouw, D., Winkelmann, R., and Boers, N.: Remotely sensing potential climate change tipping points across scales, Nat. Commun., 15,  <ext-link xlink:href="https://doi.org/10.1038/s41467-023-44609-w" ext-link-type="DOI">10.1038/s41467-023-44609-w</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib95"><label>95</label><mixed-citation>Lenton, T. M., Milkoreit, M., Willcock, S., Abrams, J. F., Armstrong, McKay, D. I., Buxton, J. E., Donges, J. F., Loriani, S., Wunderling, N., Alkemade, F., Barrett, M., Constantino, S., Powell, T., Smith, S. R., and Boulton, C. A., Pinho, P., Dijkstra, H. A. Pearce-Kelly, P., Roman Cuesta, R. M., Dennis, D. (Eds.): 2: The Global Tipping Points Report 2025, University of Exeter, Exeter, UK, <ext-link xlink:href="https://doi.org/10.5281/zenodo.18163977" ext-link-type="DOI">10.5281/zenodo.18163977</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib96"><label>96</label><mixed-citation>Levermann, A. and Winkelmann, R.: A simple equation for the melt elevation feedback of ice sheets, The Cryosphere, 10, 1799–1807, <ext-link xlink:href="https://doi.org/10.5194/tc-10-1799-2016" ext-link-type="DOI">10.5194/tc-10-1799-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib97"><label>97</label><mixed-citation>Levermann, A., Clark, P. U., Marzeion, B., Milne, G. A., Pollard, D., Radic, V., and Robinson, A.: The multimillennial sea-level commitment of global warming, P. Natl. Acad. Sci. USA, 110, 13745–13750,  <ext-link xlink:href="https://doi.org/10.1073/pnas.1219414110" ext-link-type="DOI">10.1073/pnas.1219414110</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib98"><label>98</label><mixed-citation>Li, S., Huang, G., Li, X., Liu, J., and Fan, G.: An Assessment of the Antarctic Sea Ice Mass Budget Simulation in CMIP6 Historical Experiment, Front. Earth Sci., 9,  <ext-link xlink:href="https://doi.org/10.3389/feart.2021.649743" ext-link-type="DOI">10.3389/feart.2021.649743</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib99"><label>99</label><mixed-citation>Litzow, M. A. and Hunsicker, M. E.: Early warning signals, nonlinearity, and signs of hysteresis in real ecosystems, Ecosphere, 7,  <ext-link xlink:href="https://doi.org/10.1002/ecs2.1614" ext-link-type="DOI">10.1002/ecs2.1614</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib100"><label>100</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., 6,  <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.bib101"><label>101</label><mixed-citation>Liu-Helmersson, J., Stenlund, H., Wilder-Smith, A., and Rocklöv, J.: Vectorial Capacity of Aedes aegypti: Effects of Temperature and Implications for Global Dengue Epidemic Potential, PLoS One, 9, e89783, <ext-link xlink:href="https://doi.org/10.1371/journal.pone.0089783" ext-link-type="DOI">10.1371/journal.pone.0089783</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib102"><label>102</label><mixed-citation>Loeb, N. G., Thorsen, T. J., Kato, S., Rose, F. G., Hodnebrog, Ø., and Myhre, G.: Emerging hemispheric asymmetry of Earth's radiation, P. Natl. Acad. Sci. USA, 122, e2511595122, <ext-link xlink:href="https://doi.org/10.1073/pnas.2511595122" ext-link-type="DOI">10.1073/pnas.2511595122</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib103"><label>103</label><mixed-citation>Lovejoy, T. E. and Nobre, C.: Amazon Tipping Point, Sci. Adv., 4,  <ext-link xlink:href="https://doi.org/10.1126/sciadv.aat2340" ext-link-type="DOI">10.1126/sciadv.aat2340</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib104"><label>104</label><mixed-citation>MacDougall, A. H., Frölicher, T. L., Jones, C. D., Rogelj, J., Matthews, H. D., Zickfeld, K., Arora, V. K., Barrett, N. J., Brovkin, V., Burger, F. A., Eby, M., Eliseev, A. V., Hajima, T., Holden, P. B., Jeltsch-Thömmes, A., Koven, C., Mengis, N., Menviel, L., Michou, M., Mokhov, I. I., Oka, A., Schwinger, J., Séférian, R., Shaffer, G., Sokolov, A., Tachiiri, K., Tjiputra, J., Wiltshire, A., and Ziehn, T.: Is there warming in the pipeline? A multi-model analysis of the Zero Emissions Commitment from <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></inline-formula> Biogeosciences, 17, 2987–3016, <ext-link xlink:href="https://doi.org/10.5194/bg-17-2987-2020" ext-link-type="DOI">10.5194/bg-17-2987-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib105"><label>105</label><mixed-citation>Matthews, H. D., Gillett, N. P., Stott, P. A., and Zickfeld, K.: The proportionality of global warming to cumulative carbon emissions, Nature, 459, 829–832,  <ext-link xlink:href="https://doi.org/10.1038/nature08047" ext-link-type="DOI">10.1038/nature08047</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib106"><label>106</label><mixed-citation>McCarthy, G. D. and Caesar, L.: Can we trust projections of AMOC weakening based on climate models that cannot reproduce the past?, Philos. T. R. Soc. A, 381,  <ext-link xlink:href="https://doi.org/10.1098/rsta.2022.0193" ext-link-type="DOI">10.1098/rsta.2022.0193</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib107"><label>107</label><mixed-citation>Mecking, J. V., Drijfhout, S. S., Jackson, L. C., and Andrews, M. B.: The effect of model bias on Atlantic freshwater transport and implications for AMOC bi-stability, Tellus A, 69, 1299910,  <ext-link xlink:href="https://doi.org/10.1080/16000870.2017.1299910" ext-link-type="DOI">10.1080/16000870.2017.1299910</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib108"><label>108</label><mixed-citation>Menary, M. B., Robson, J., Allan, R. P., Booth, B. B. B., Cassou, C., Gastineau, G., Gregory, J., Hodson, D., Jones, C., Mignot, J., Ringer, M., Sutton, R., Wilcox, L., and Zhang, R.: Aerosol-Forced AMOC Changes in CMIP6 Historical Simulations, Geophys. Res. Lett., 47,  <ext-link xlink:href="https://doi.org/10.1029/2020gl088166" ext-link-type="DOI">10.1029/2020gl088166</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib109"><label>109</label><mixed-citation>Myksvoll, M. S., Britt Sandø, A., Tjiputra, J., Samuelsen, A., Çağlar Yumruktepe, V., Li, C., Mousing, E. A., Bettencourt, J. P. H., and Ottersen, G.: Key physical processes and their model representation for projecting climate impacts on subarctic Atlantic net primary production: A synthesis, Prog. Oceanogr., 217, 103084, <ext-link xlink:href="https://doi.org/10.1016/j.pocean.2023.103084" ext-link-type="DOI">10.1016/j.pocean.2023.103084</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib110"><label>110</label><mixed-citation>Natali, S. M., Holdren, J. P., Rogers, B. M., Treharne, R., Duffy, P. B., Pomerance, R., and MacDonald, E.: Permafrost carbon feedbacks threaten global climate goals, P. Natl. Acad. Sci. USA, 118,  <ext-link xlink:href="https://doi.org/10.1073/pnas.2100163118" ext-link-type="DOI">10.1073/pnas.2100163118</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib111"><label>111</label><mixed-citation>Naughten, K. A., Holland, P. R., and De Rydt, J.: Unavoidable future increase in West Antarctic ice-shelf melting over the twenty-first century, Nat. Clim. Change, 13, 1222–1228,  <ext-link xlink:href="https://doi.org/10.1038/s41558-023-01818-x" ext-link-type="DOI">10.1038/s41558-023-01818-x</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib112"><label>112</label><mixed-citation>Nitzbon, J., Schneider Von Deimling, T., Aliyeva, M., Chadburn, S. E., Grosse, G., Laboor, S., Lee, H., Lohmann, G., Steinert, N. J., Stuenzi, S. M., Werner, M., Westermann, S., and Langer, M.: No respite from permafrost-thaw impacts in the absence of a global tipping point, Nat. Clim. Change, 14, 573–585,  <ext-link xlink:href="https://doi.org/10.1038/s41558-024-02011-4" ext-link-type="DOI">10.1038/s41558-024-02011-4</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib113"><label>113</label><mixed-citation>Noël, B., Van Kampenhout, L., Lenaerts, J. T. M., Van De Berg, W. J., and Van Den Broeke, M. R.: A 21st Century Warming Threshold for Sustained Greenland Ice Sheet Mass Loss, Geophys. Res. Lett., 48, <ext-link xlink:href="https://doi.org/10.1029/2020gl090471" ext-link-type="DOI">10.1029/2020gl090471</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib114"><label>114</label><mixed-citation>Notz, D. and SIMIP Community: Arctic Sea Ice in CMIP6, Geophys. Res. Lett., 47,  <ext-link xlink:href="https://doi.org/10.1029/2019gl086749" ext-link-type="DOI">10.1029/2019gl086749</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib115"><label>115</label><mixed-citation>O'Neill, B. C., Tebaldi, C., van Vuuren, D. P., Eyring, V., Friedlingstein, P., Hurtt, G., Knutti, R., Kriegler, E., Lamarque, J.-F., Lowe, J., Meehl, G. A., Moss, R., Riahi, K., and Sanderson, B. M.: The Scenario Model Intercomparison Project (ScenarioMIP) for CMIP6, Geosci. Model Dev., 9, 3461–3482, <ext-link xlink:href="https://doi.org/10.5194/gmd-9-3461-2016" ext-link-type="DOI">10.5194/gmd-9-3461-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib116"><label>116</label><mixed-citation>Parry, I. M., Ritchie, P. D. L., and Cox, P. M.: Evidence of localised Amazon rainforest dieback in CMIP6 models, Earth Syst. Dynam., 13, 1667–1675, <ext-link xlink:href="https://doi.org/10.5194/esd-13-1667-2022" ext-link-type="DOI">10.5194/esd-13-1667-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib117"><label>117</label><mixed-citation>Pattyn, F., Ritz, C., Hanna, E., Asay-Davis, X., DeConto, R., Durand, G., Favier, L., Fettweis, X., Goelzer, H., Golledge, N. R., Kuipers Munneke, P., Lenaerts, J. T. M., Nowicki, S., Payne, A. J., Robinson, A., Seroussi, H., Trusel, L. D., and Van Den Broeke, M.: The Greenland and Antarctic ice sheets under 1.5 <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> global warming, Nat. Clim. Change, 8, 1053–1061, <ext-link xlink:href="https://doi.org/10.1038/s41558-018-0305-8" ext-link-type="DOI">10.1038/s41558-018-0305-8</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib118"><label>118</label><mixed-citation>Portmann, V., Chavent, M., and Swingedouw, D.: <italic>ClimLoco1.0</italic>: CLimate variable confidence Interval of Multivariate Linear Observational COnstraint, Geosci. Model Dev., 18, 9015–9038, <ext-link xlink:href="https://doi.org/10.5194/gmd-18-9015-2025" ext-link-type="DOI">10.5194/gmd-18-9015-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib119"><label>119</label><mixed-citation>Quaas, J., Jia, H., Smith, C., Albright, A. L., Aas, W., Bellouin, N., Boucher, O., Doutriaux-Boucher, M., Forster, P. M., Grosvenor, D., Jenkins, S., Klimont, Z., Loeb, N. G., Ma, X., Naik, V., Paulot, F., Stier, P., Wild, M., Myhre, G., and Schulz, M.: Robust evidence for reversal of the trend in aerosol effective climate forcing, Atmos. Chem. Phys., 22, 12221–12239, <ext-link xlink:href="https://doi.org/10.5194/acp-22-12221-2022" ext-link-type="DOI">10.5194/acp-22-12221-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib120"><label>120</label><mixed-citation>Rahmstorf, S.: Is the Atlantic Overturning Circulation Approaching a Tipping Point?, Oceanog,  <ext-link xlink:href="https://doi.org/10.5670/oceanog.2024.501" ext-link-type="DOI">10.5670/oceanog.2024.501</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib121"><label>121</label><mixed-citation>Randerson, J. T., Lindsay, K., Munoz, E., Fu, W., Moore, J. K., Hoffman, F. M., Mahowald, N. M., and Doney, S. C.: Multicentury changes in ocean and land contributions to the climate-carbon feedback, Global Biogeochem. Cy., 29, 744–759,  <ext-link xlink:href="https://doi.org/10.1002/2014gb005079" ext-link-type="DOI">10.1002/2014gb005079</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib122"><label>122</label><mixed-citation>Raupach, M. R., Gloor, M., Sarmiento, J. L., Canadell, J. G., Frölicher, T. L., Gasser, T., Houghton, R. A., Le Quéré, C., and Trudinger, C. M.: The declining uptake rate of atmospheric <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by land and ocean sinks, Biogeosciences, 11, 3453–3475, <ext-link xlink:href="https://doi.org/10.5194/bg-11-3453-2014" ext-link-type="DOI">10.5194/bg-11-3453-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib123"><label>123</label><mixed-citation>Reese, R., Garbe, J., Hill, E. A., Urruty, B., Naughten, K. A., Gagliardini, O., Durand, G., Gillet-Chaulet, F., Gudmundsson, G. H., Chandler, D., Langebroek, P. M., and Winkelmann, R.: The stability of present-day Antarctic grounding lines – Part 2: Onset of irreversible retreat of Amundsen Sea glaciers under current climate on centennial timescales cannot be excluded, The Cryosphere, 17, 3761–3783, <ext-link xlink:href="https://doi.org/10.5194/tc-17-3761-2023" ext-link-type="DOI">10.5194/tc-17-3761-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib124"><label>124</label><mixed-citation>Reisinger, A., Fuglestvedt, J. S., Pirani, A., Geden, O., Jones, C. D., Maharaj, S., Poloczanska, E. S., Morelli, A., Johansen, T. G., Adler, C., Betts, R. A., and Seneviratne, S. I.: Overshoot: A Conceptual Review of Exceeding and Returning to Global Warming of 1.5 <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, Annu. Rev. Env. Res., 50, 185–217, <ext-link xlink:href="https://doi.org/10.1146/annurev-environ-111523-102029" ext-link-type="DOI">10.1146/annurev-environ-111523-102029</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib125"><label>125</label><mixed-citation>Ritchie, P. D. L., Smith, G. S., Davis, K. J., Fezzi, C., Halleck-Vega, S., Harper, A. B., Boulton, C. A., Binner, A. R., Day, B. H., Gallego-Sala, A. V., Mecking, J. V., Sitch, S. A., Lenton, T. M., and Bateman, I. J.: Shifts in national land use and food production in Great Britain after a climate tipping point, Nat. Food, 1, 76–83,  <ext-link xlink:href="https://doi.org/10.1038/s43016-019-0011-3" ext-link-type="DOI">10.1038/s43016-019-0011-3</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib126"><label>126</label><mixed-citation>Ritchie, P. D. L., Clarke, J. J., Cox, P. M., and Huntingford, C.: Overshooting tipping point thresholds in a changing climate, Nature, 592, 517–523,  <ext-link xlink:href="https://doi.org/10.1038/s41586-021-03263-2" ext-link-type="DOI">10.1038/s41586-021-03263-2</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib127"><label>127</label><mixed-citation>Ritchie, P. D. L., Alkhayuon, H., Cox, P. M., and Wieczorek, S.: Rate-induced tipping in natural and human systems, Earth Syst. Dynam., 14, 669–683, <ext-link xlink:href="https://doi.org/10.5194/esd-14-669-2023" ext-link-type="DOI">10.5194/esd-14-669-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib128"><label>128</label><mixed-citation>Ritchie, P. D. L., Huntingford, C., and Cox, P.: ESD Ideas: Climate tipping is not instantaneous – the duration of an overshoot matters, Earth Syst. Dynam., 16, 1523-1526, <ext-link xlink:href="https://doi.org/10.5194/esd-16-1523-2025" ext-link-type="DOI">10.5194/esd-16-1523-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib129"><label>129</label><mixed-citation>Ritchie, P. D. L., Steinert, N. J., Abrams, J. F., Alkhayuon, H., Arnscheidt, C. W., Bochow, N., Chapman, R. R., Clarke, J., Dennis, D. P., Donges, J. F., Flores, B. M., Garbe, J., Högner, A., Huntingford, C., Lenton, T. M., Lohmann, J., Lux-Gottschalk, K., Milkoreit, M., Möller, T., Pearce-Kelly, P., Pereira, L., Quinn, C., Schleussner, C.-F., Stuenzi, S. M., Swingedouw, D., Van Der Laan, L. N., Zickfeld, K., and Wunderling, N.: The implications of overshooting 1.5 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> on Earth system tipping elements – a review, Environ. Res. Lett., 21, 043001, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ae3cad" ext-link-type="DOI">10.1088/1748-9326/ae3cad</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib130"><label>130</label><mixed-citation>Robinson, A., Calov, R., and Ganopolski, A.: Multistability and critical thresholds of the Greenland ice sheet, Nat. Clim. Change, 2, 429–432,  <ext-link xlink:href="https://doi.org/10.1038/nclimate1449" ext-link-type="DOI">10.1038/nclimate1449</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib131"><label>131</label><mixed-citation>Robson, J., Menary, M. B., Sutton, R. T., Mecking, J., Gregory, J. M., Jones, C., Sinha, B., Stevens, D. P., and Wilcox, L. J.: The Role of Anthropogenic Aerosol Forcing in the 1850–1985 Strengthening of the AMOC in CMIP6 Historical Simulations, J. Climate, 35, 3243–3263,  <ext-link xlink:href="https://doi.org/10.1175/jcli-d-22-0124.1" ext-link-type="DOI">10.1175/jcli-d-22-0124.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib132"><label>132</label><mixed-citation>Romanou, A., Rind, D., Jonas, J., Miller, R., Kelley, M., Russell, G., Orbe, C., Nazarenko, L., Latto, R., and Schmidt, G. A.: Stochastic Bifurcation of the North Atlantic Circulation under a Midrange Future Climate Scenario with the NASA-GISS ModelE, J. Climate, 36, 6141–6161,  <ext-link xlink:href="https://doi.org/10.1175/jcli-d-22-0536.1" ext-link-type="DOI">10.1175/jcli-d-22-0536.1</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib133"><label>133</label><mixed-citation>Romanou, A., Hegerl, G. C., Seneviratne, S. I., Abis, B., Bastos, A., Conversi, A., Landolfi, A., Kim, H., Lerner, P. E., Mekus, J., Otto-Bliesner, B. L., Pausata, F. S. R., Pinto, I., and Suarez-Guiterrez, L.: Extreme Events Contributing to Tipping Elements and Tipping Points, Surv. Geophys., 46, 375–420,  <ext-link xlink:href="https://doi.org/10.1007/s10712-024-09863-7" ext-link-type="DOI">10.1007/s10712-024-09863-7</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib134"><label>134</label><mixed-citation>Rooth, C.: Hydrology and ocean circulation, Prog. Oceanogr., 11, 131–149,  <ext-link xlink:href="https://doi.org/10.1016/0079-6611(82)90006-4" ext-link-type="DOI">10.1016/0079-6611(82)90006-4</ext-link>, 1982.</mixed-citation></ref>
      <ref id="bib1.bib135"><label>135</label><mixed-citation>Rugenstein, M., Bloch-Johnson, J., Gregory, J., Andrews, T., Mauritsen, T., Li, C., Frölicher, T. L., Paynter, D., Danabasoglu, G., Yang, S., Dufresne, J., Cao, L., Schmidt, G. A., Abe-Ouchi, A., Geoffroy, O., and Knutti, R.: Equilibrium Climate Sensitivity Estimated by Equilibrating Climate Models, Geophys. Res. Lett., 47, <ext-link xlink:href="https://doi.org/10.1029/2019gl083898" ext-link-type="DOI">10.1029/2019gl083898</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib136"><label>136</label><mixed-citation>Sanderson, B. M., Brovkin, V., Fisher, R., Hohn, D., Ilyina, T., Jones, C., Koenigk, T., Koven, C., Li, H., Lawrence, D., Lawrence, P., Liddicoat, S., Macdougall, A., Mengis, N., Nicholls, Z., O'Rourke, E., Romanou, A., Sandstad, M., Schwinger, J., Seferian, R., Sentman, L., Simpson, I., Smith, C., Steinert, N., Swann, A., Tjiputra, J., and Ziehn, T.: flat10MIP: An emissions-driven experiment to diagnose the climate response to positive, zero, and negative <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, Geosci. Model Dev., 18, 5699–5724, <ext-link xlink:href="https://doi.org/10.5194/gmd-18-5699-2025" ext-link-type="DOI">10.5194/gmd-18-5699-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib137"><label>137</label><mixed-citation>Santana-Falcón, Y., Yamamoto, A., Lenton, A., Jones, C. D., Burger, F. A., John, J. G., Tjiputra, J., Schwinger, J., Kawamiya, M., Frölicher, T. L., Ziehn, T., and Séférian, R.: Irreversible loss in marine ecosystem habitability after a temperature overshoot, Commun. Earth Environ., 4, <ext-link xlink:href="https://doi.org/10.1038/s43247-023-01002-1" ext-link-type="DOI">10.1038/s43247-023-01002-1</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib138"><label>138</label><mixed-citation>Scheffer, M., Carpenter, S. R., Dakos, V., and Van Nes, E. H.: Generic Indicators of Ecological Resilience: Inferring the Chance of a Critical Transition, Annu. Rev. Ecol. Evol. S., 46, 145–167,  <ext-link xlink:href="https://doi.org/10.1146/annurev-ecolsys-112414-054242" ext-link-type="DOI">10.1146/annurev-ecolsys-112414-054242</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib139"><label>139</label><mixed-citation>Schleussner, C.-F., Ganti, G., Lejeune, Q., Zhu, B., Pfleiderer, P., Prütz, R., Ciais, P., Frölicher, T. L., Fuss, S., Gasser, T., Gidden, M. J., Kropf, C. M., Lacroix, F., Lamboll, R., Martyr, R., Maussion, F., McCaughey, J. W., Meinshausen, M., Mengel, M., Nicholls, Z., Quilcaille, Y., Sanderson, B., Seneviratne, S. I., Sillmann, J., Smith, C. J., Steinert, N. J., Theokritoff, E., Warren, R., Price, J., and Rogelj, J.: Overconfidence in climate overshoot, Nature, 634, 366–373, <ext-link xlink:href="https://doi.org/10.1038/s41586-024-08020-9" ext-link-type="DOI">10.1038/s41586-024-08020-9</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib140"><label>140</label><mixed-citation>Schwinger, J. and Tjiputra, J.: Ocean Carbon Cycle Feedbacks Under Negative Emissions, Geophys. Res. Lett., 45, 5062–5070,  <ext-link xlink:href="https://doi.org/10.1029/2018gl077790" ext-link-type="DOI">10.1029/2018gl077790</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib141"><label>141</label><mixed-citation>Sgubin, G., Swingedouw, D., Drijfhout, S., Mary, Y., and Bennabi, A.: Abrupt cooling over the North Atlantic in modern climate models, Nat. Commun., 8,  <ext-link xlink:href="https://doi.org/10.1038/ncomms14375" ext-link-type="DOI">10.1038/ncomms14375</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib142"><label>142</label><mixed-citation>Sgubin, G., Swingedouw, D., García De Cortázar-Atauri, I., Ollat, N., and Van Leeuwen, C.: The Impact of Possible Decadal-Scale Cold Waves on Viticulture over Europe in a Context of Global Warming, Agronomy, 9, 397, <ext-link xlink:href="https://doi.org/10.3390/agronomy9070397" ext-link-type="DOI">10.3390/agronomy9070397</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib143"><label>143</label><mixed-citation>Silvy, Y., Frölicher, T. L., Terhaar, J., Joos, F., Burger, F. A., Lacroix, F., Allen, M., Bernardello, R., Bopp, L., Brovkin, V., Buzan, J. R., Cadule, P., Dix, M., Dunne, J., Friedlingstein, P., Georgievski, G., Hajima, T., Jenkins, S., Kawamiya, M., Kiang, N. Y., Lapin, V., Lee, D., Lerner, P., Mengis, N., Monteiro, E. A., Paynter, D., Peters, G. P., Romanou, A., Schwinger, J., Sparrow, S., Stofferahn, E., Tjiputra, J., Tourigny, E., and Ziehn, T.: AERA-MIP: emission pathways, remaining budgets, and carbon cycle dynamics compatible with 1.5 and 2 <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> global warming stabilization, Earth Syst. Dynam., 15, 1591–1628, <ext-link xlink:href="https://doi.org/10.5194/esd-15-1591-2024" ext-link-type="DOI">10.5194/esd-15-1591-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib144"><label>144</label><mixed-citation>Smith, C. J. and Forster, P. M.: Suppressed Late-20th Century Warming in CMIP6 Models Explained by Forcing and Feedbacks, Geophys. Res. Lett., 48,  <ext-link xlink:href="https://doi.org/10.1029/2021gl094948" ext-link-type="DOI">10.1029/2021gl094948</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib145"><label>145</label><mixed-citation>Solomon, S.: The discovery of the Antarctic ozone hole, Nature, 575, 46–47,  <ext-link xlink:href="https://doi.org/10.1038/d41586-019-02837-5" ext-link-type="DOI">10.1038/d41586-019-02837-5</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib146"><label>146</label><mixed-citation>Soultan, A., Pavón-Jordán, D., Bradter, U., Sandercock, B. K., Hochachka, W. M., Johnston, A., Brommer, J., Gaget, E., Keller, V., Knaus, P., Aghababyan, K., Maxhuni, Q., Vintchevski, A., Nagy, K., Raudonikis, L., Balmer, D., Noble, D., Leitão, D., Øien, I. J., Shimmings, P., Sultanov, E., Caffrey, B., Boyla, K., Radišić, D., Lindström, Å., Velevski, M., Pladevall, C., Brotons, L., Karel, Š., Rajković, D. Z., Chodkiewicz, T., Wilk, T., Szép, T., Van Turnhout, C., Foppen, R., Burfield, I., Vikstrøm, T., Mazal, V. D., Eaton, M., Vorisek, P., Lehikoinen, A., Herrando, S., Kuzmenko, T., Bauer, H.-G., Kalyakin, M. V., Voltzit, O. V., Sjeničić, J., and Pärt, T.: The future distribution of wetland birds breeding in Europe validated against observed changes in distribution, Environ. Res. Lett., 17, 024025, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ac4ebe" ext-link-type="DOI">10.1088/1748-9326/ac4ebe</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib147"><label>147</label><mixed-citation>Staal, A., Fetzer, I., Wang-Erlandsson, L., Bosmans, J. H. C., Dekker, S. C., Van Nes, E. H., Rockström, J., and Tuinenburg, O. A.: Hysteresis of tropical forests in the 21st century, Nat. Commun., 11, <ext-link xlink:href="https://doi.org/10.1038/s41467-020-18728-7" ext-link-type="DOI">10.1038/s41467-020-18728-7</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib148"><label>148</label><mixed-citation>Stocker, T. F. and Schmittner, A.: Influence of CO2 emission rates on the stability of the thermohaline circulation, Nature, 388, 862–865,  <ext-link xlink:href="https://doi.org/10.1038/42224" ext-link-type="DOI">10.1038/42224</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib149"><label>149</label><mixed-citation>Stommel, H.: Thermohaline Convection with Two Stable Regimes of Flow, Tellus, 13, 224–230,  <ext-link xlink:href="https://doi.org/10.1111/j.2153-3490.1961.tb00079.x" ext-link-type="DOI">10.1111/j.2153-3490.1961.tb00079.x</ext-link>, 1961.</mixed-citation></ref>
      <ref id="bib1.bib150"><label>150</label><mixed-citation>Swaminathan, R., Parker, R. J., Jones, C. G., Allan, R. P., Quaife, T., Kelley, D. I., de Mora, L., and Walton, J.: The Physical Climate at Global Warming Thresholds as Seen in the U.K. Earth System Model, J. Climate, 35, 29–48,  <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-21-0234.1" ext-link-type="DOI">10.1175/JCLI-D-21-0234.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib151"><label>151</label><mixed-citation>Swingedouw, D., Braconnot, P., Delecluse, P., Guilyardi, E., and Marti, O.: Quantifying the AMOC feedbacks during a <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> stabilization experiment with land-ice melting, Clim. Dynam., 29, 521–534, <ext-link xlink:href="https://doi.org/10.1007/s00382-007-0250-0" ext-link-type="DOI">10.1007/s00382-007-0250-0</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib152"><label>152</label><mixed-citation>Swingedouw, D., Ifejika Speranza, C., Bartsch, A., Durand, G., Jamet, C., Beaugrand, G., and Conversi, A.: Early Warning from Space for a Few Key Tipping Points in Physical, Biological, and Social-Ecological Systems, Surv. Geophys., 41, 1237–1284,  <ext-link xlink:href="https://doi.org/10.1007/s10712-020-09604-6" ext-link-type="DOI">10.1007/s10712-020-09604-6</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib153"><label>153</label><mixed-citation>Swingedouw, D., Bily, A., Esquerdo, C., Borchert, L. F., Sgubin, G., Mignot, J., and Menary, M.: On the risk of abrupt changes in the North Atlantic subpolar gyre in CMIP6 models, Ann. NY Acad. Sci., 1504, 187–201,  <ext-link xlink:href="https://doi.org/10.1111/nyas.14659" ext-link-type="DOI">10.1111/nyas.14659</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib154"><label>154</label><mixed-citation>Tamarin-Brodsky, T., Hodges, K., Hoskins, B. J., and Shepherd, T. G.: Changes in Northern Hemisphere temperature variability shaped by regional warming patterns, Nat. Geosci., 13, 414–421,  <ext-link xlink:href="https://doi.org/10.1038/s41561-020-0576-3" ext-link-type="DOI">10.1038/s41561-020-0576-3</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib155"><label>155</label><mixed-citation>Taylor, P. C., Boeke, R. C., Boisvert, L. N., Feldl, N., Henry, M., Huang, Y., Langen, P. L., Liu, W., Pithan, F., Sejas, S. A., and Tan, I.: Process Drivers, Inter-Model Spread, and the Path Forward: A Review of Amplified Arctic Warming, Front. Earth Sci., 9,  <ext-link xlink:href="https://doi.org/10.3389/feart.2021.758361" ext-link-type="DOI">10.3389/feart.2021.758361</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib156"><label>156</label><mixed-citation>Tebaldi, C., Ranasinghe, R., Vousdoukas, M., Rasmussen, D. J., Vega-Westhoff, B., Kirezci, E., Kopp, R. E., Sriver, R., and Mentaschi, L.: Extreme sea levels at different global warming levels, Nat. Clim. Change, 11, 746–751,  <ext-link xlink:href="https://doi.org/10.1038/s41558-021-01127-1" ext-link-type="DOI">10.1038/s41558-021-01127-1</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib157"><label>157</label><mixed-citation>Terhaar, J., Frölicher, T. L., Aschwanden, M. T., Friedlingstein, P., and Joos, F.: Adaptive emission reduction approach to reach any global warming target, Nat. Clim. Change, 12, 1136–1142, <ext-link xlink:href="https://doi.org/10.1038/s41558-022-01537-9" ext-link-type="DOI">10.1038/s41558-022-01537-9</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib158"><label>158</label><mixed-citation>Tokarska, K. B. and Zickfeld, K.: The effectiveness of net negative carbon dioxide emissions in reversing anthropogenic climate change, Environ. Res. Lett., 10, 094013,  <ext-link xlink:href="https://doi.org/10.1088/1748-9326/10/9/094013" ext-link-type="DOI">10.1088/1748-9326/10/9/094013</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib159"><label>159</label><mixed-citation>Turetsky, M. R., Abbott, B. W., Jones, M. C., Anthony, K. W., Olefeldt, D., Schuur, E. A. G., Grosse, G., Kuhry, P., Hugelius, G., Koven, C., Lawrence, D. M., Gibson, C., Sannel, A. B. K., and McGuire, A. D.: Carbon release through abrupt permafrost thaw, Nat. Geosci., 13, 138–143,  <ext-link xlink:href="https://doi.org/10.1038/s41561-019-0526-0" ext-link-type="DOI">10.1038/s41561-019-0526-0</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib160"><label>160</label><mixed-citation>Ureta, C., Ramírez-Barahona, S., Calderón-Bustamante, Ó., Cruz-Santiago, P., Gay-García, C., Swingedouw, D., Defrance, D., and Cuervo-Robayo, A. P.: Evaluation of animal and plant diversity suggests Greenland's thaw hastens the biodiversity crisis, Commun. Biol., 5, <ext-link xlink:href="https://doi.org/10.1038/s42003-022-03943-3" ext-link-type="DOI">10.1038/s42003-022-03943-3</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib161"><label>161</label><mixed-citation>Vaittinada Ayar, P., Bopp, L., Christian, J. R., Ilyina, T., Krasting, J. P., Séférian, R., Tsujino, H., Watanabe, M., Yool, A., and Tjiputra, J.: Contrasting projections of the ENSO-driven <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux variability in the equatorial Pacific under high-warming scenario, Earth Syst. Dynam., 13, 1097–1118, <ext-link xlink:href="https://doi.org/10.5194/esd-13-1097-2022" ext-link-type="DOI">10.5194/esd-13-1097-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib162"><label>162</label><mixed-citation>Valdes, P.: Built for stability, Nat. Geosci., 4, 414–416,  <ext-link xlink:href="https://doi.org/10.1038/ngeo1200" ext-link-type="DOI">10.1038/ngeo1200</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib163"><label>163</label><mixed-citation>Van Breedam, J., Goelzer, H., and Huybrechts, P.: Semi-equilibrated global sea-level change projections for the next 10 000 years, Earth Syst. Dynam., 11, 953–976, <ext-link xlink:href="https://doi.org/10.5194/esd-11-953-2020" ext-link-type="DOI">10.5194/esd-11-953-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib164"><label>164</label><mixed-citation>Van Nes, E. H., Arani, B. M. S., Staal, A., Van Der Bolt, B., Flores, B. M., Bathiany, S., and Scheffer, M.: What Do You Mean, “Tipping Point”?, Trends Ecol. Evol., 31, 902–904, <ext-link xlink:href="https://doi.org/10.1016/j.tree.2016.09.011" ext-link-type="DOI">10.1016/j.tree.2016.09.011</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib165"><label>165</label><mixed-citation>van Vuuren, D., O'Neill, B., Tebaldi, C., Chini, L., Friedlingstein, P., Hasegawa, T., Riahi, K., Sanderson, B., Govindasamy, B., Bauer, N., Eyring, V., Fall, C., Frieler, K., Gidden, M., Gohar, L., Jones, A., King, A., Knutti, R., Kriegler, E., Lawrence, P., Lennard, C., Lowe, J., Mathison, C., Mehmood, S., Prado, L., Zhang, Q., Rose, S., Ruane, A., Schleussner, C.-F., Seferian, R., Sillmann, J., Smith, C., Sörensson, A., Panickal, S., Tachiiri, K., Vaughan, N., Vishwanathan, S., Yokohata, T., and Ziehn, T.: The Scenario Model Intercomparison Project for CMIP7 (ScenarioMIP-CMIP7), Geosci. Model Dev., 19, 2627–2656, <ext-link xlink:href="https://doi.org/10.5194/gmd-19-2627-2026" ext-link-type="DOI">10.5194/gmd-19-2627-2026</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib166"><label>166</label><mixed-citation>van Westen, R. M., Kliphuis, M., and Dijkstra, H. A.: Physics-based early warning signal shows that AMOC is on tipping course, Sci. Adv., 10,  <ext-link xlink:href="https://doi.org/10.1126/sciadv.adk1189" ext-link-type="DOI">10.1126/sciadv.adk1189</ext-link>, 2024a.</mixed-citation></ref>
      <ref id="bib1.bib167"><label>167</label><mixed-citation>van Westen, R. M., Vanderborght, E. Y. P., Kliphuis, M., and Dijkstra, H. A.: Substantial Risk of 21st Century AMOC Tipping even under Moderate Climate Change, arXiv [preprint],  <ext-link xlink:href="https://doi.org/10.48550/ARXIV.2407.19909" ext-link-type="DOI">10.48550/ARXIV.2407.19909</ext-link>, 2024b.</mixed-citation></ref>
      <ref id="bib1.bib168"><label>168</label><mixed-citation>Vasilakopoulos, P., Raitsos, D. E., Tzanatos, E., and Maravelias, C. D.: Resilience and regime shifts in a marine biodiversity hotspot, Sci. Rep.-UK, 7,  <ext-link xlink:href="https://doi.org/10.1038/s41598-017-13852-9" ext-link-type="DOI">10.1038/s41598-017-13852-9</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib169"><label>169</label><mixed-citation>WCRP Registered MIPs:  <uri>https://wcrp-cmip.org/mips/#registered-mips</uri>, last access: 9 February 2026.</mixed-citation></ref>
      <ref id="bib1.bib170"><label>170</label><mixed-citation>Wehrli, K., Luo, F., Hauser, M., Shiogama, H., Tokuda, D., Kim, H., Coumou, D., May, W., Le Sager, P., Selten, F., Martius, O., Vautard, R., and Seneviratne, S. I.: The ExtremeX global climate model experiment: investigating thermodynamic and dynamic processes contributing to weather and climate extremes, Earth Syst. Dynam., 13, 1167–1196, <ext-link xlink:href="https://doi.org/10.5194/esd-13-1167-2022" ext-link-type="DOI">10.5194/esd-13-1167-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib171"><label>171</label><mixed-citation>Wei, M., Li, S., Zhu, L., Lu, X., Li, H., and Feng, J.: Continuous Abrupt Vegetation Shifts in the Global Terrestrial Ecosystem, Ecol. Lett., 28,  <ext-link xlink:href="https://doi.org/10.1111/ele.70069" ext-link-type="DOI">10.1111/ele.70069</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib172"><label>172</label><mixed-citation>Weijer, W., Cheng, W., Garuba, O. A., Hu, A., and Nadiga, B. T.: CMIP6 Models Predict Significant 21st Century Decline of the Atlantic Meridional Overturning Circulation, Geophys. Res. Lett., 47,  <ext-link xlink:href="https://doi.org/10.1029/2019gl086075" ext-link-type="DOI">10.1029/2019gl086075</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib173"><label>173</label><mixed-citation>Wilcox, L. J., Allen, R. J., Samset, B. H., Bollasina, M. A., Griffiths, P. T., Keeble, J., Lund, M. T., Makkonen, R., Merikanto, J., O'Donnell, D., Paynter, D. J., Persad, G. G., Rumbold, S. T., Takemura, T., Tsigaridis, K., Undorf, S., and Westervelt, D. M.: The Regional Aerosol Model Intercomparison Project (RAMIP), Geosci. Model Dev., 16, 4451–4479, <ext-link xlink:href="https://doi.org/10.5194/gmd-16-4451-2023" ext-link-type="DOI">10.5194/gmd-16-4451-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib174"><label>174</label><mixed-citation>Williams, A. S. and Igel, A. L.: Cloud Top Radiative Cooling Rate Drives Non-Precipitating Stratiform Cloud Responses to Aerosol Concentration, Geophys. Res. Lett., 48,  <ext-link xlink:href="https://doi.org/10.1029/2021gl094740" ext-link-type="DOI">10.1029/2021gl094740</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib175"><label>175</label><mixed-citation>Williams, R. G., Goodwin, P., Ceppi, P., Jones, C. D., and MacDougall, A.: A normalised framework for the Zero Emissions Commitment, Biogeosciences, 22, 7167–7186, <ext-link xlink:href="https://doi.org/10.5194/bg-22-7167-2025" ext-link-type="DOI">10.5194/bg-22-7167-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib176"><label>176</label><mixed-citation>Winkelmann, R., Dennis, D. P., Donges, J. F., Loriani, S., Klose, A. K., Abrams, J. F., Alvarez-Solas, J., Albrecht, T., Armstrong McKay, D., Bathiany, S., Blasco Navarro, J., Brovkin, V., Burke, E., Danabasoglu, G., Donner, R. V., Drüke, M., Georgievski, G., Goelzer, H., Harper, A. B., Hegerl, G., Hirota, M., Hu, A., Jackson, L. C., Jones, C., Kim, H., Koenigk, T., Lawrence, P., Lenton, T. M., Liddy, H., Licón-Saláiz, J., Menthon, M., Montoya, M., Nitzbon, J., Nowicki, S., Otto-Bliesner, B., Pausata, F., Rahmstorf, S., Ramin, K., Robinson, A., Rockström, J., Romanou, A., Sakschewski, B., Schädel, C., Sherwood, S., Smith, R. S., Steinert, N. J., Swingedouw, D., Willeit, M., Weijer, W., Wood, R., Wyser, K., and Yang, S.: The Tipping Points Modelling Intercomparison Project (TIPMIP): Assessing tipping point risks in the Earth system, EGUsphere [preprint], <ext-link xlink:href="https://doi.org/10.5194/egusphere-2025-1899" ext-link-type="DOI">10.5194/egusphere-2025-1899</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib177"><label>177</label><mixed-citation>Wunderling, N., Staal, A., Sakschewski, B., Hirota, M., Tuinenburg, O. A., Donges, J. F., Barbosa, H. M. J., and Winkelmann, R.: Recurrent droughts increase risk of cascading tipping events by outpacing adaptive capacities in the Amazon rainforest, P. Natl. Acad. Sci. USA, 119,  <ext-link xlink:href="https://doi.org/10.1073/pnas.2120777119" ext-link-type="DOI">10.1073/pnas.2120777119</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib178"><label>178</label><mixed-citation>Wunderling, N., von der Heydt, A. S., Aksenov, Y., Barker, S., Bastiaansen, R., Brovkin, V., Brunetti, M., Couplet, V., Kleinen, T., Lear, C. H., Lohmann, J., Roman-Cuesta, R. M., Sinet, S., Swingedouw, D., Winkelmann, R., Anand, P., Barichivich, J., Bathiany, S., Baudena, M., Bruun, J. T., Chiessi, C. M., Coxall, H. K., Docquier, D., Donges, J. F., Falkena, S. K. J., Klose, A. K., Obura, D., Rocha, J., Rynders, S., Steinert, N. J., and Willeit, M.: Climate tipping point interactions and cascades: a review, Earth Syst. Dynam., 15, 41–74, <ext-link xlink:href="https://doi.org/10.5194/esd-15-41-2024" ext-link-type="DOI">10.5194/esd-15-41-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib179"><label>179</label><mixed-citation>Yuan, T., Song, H., Kramer, R., Oreopoulos, L., Raghuraman, S. P., Wood, R., and Chin, M.: Aerosol effective radiative forcing increases Earth’s energy imbalance in recent decades, Nat. Commun., <ext-link xlink:href="https://doi.org/10.1038/s41467-026-72926-3" ext-link-type="DOI">10.1038/s41467-026-72926-3</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib180"><label>180</label><mixed-citation>Zickfeld, K. and Herrington, T.: The time lag between a carbon dioxide emission and maximum warming increases with 105 the size of the emission, Environ. Res. Lett., 10, 031001, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/10/3/031001" ext-link-type="DOI">10.1088/1748-9326/10/3/031001</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib181"><label>181</label><mixed-citation>Zickfeld, K., Azevedo, D., Mathesius, S., and Matthews, H. D.: Asymmetry in the climate–carbon cycle response to positive and negative <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, Nat. Clim. Change, 11, 613–617,  <ext-link xlink:href="https://doi.org/10.1038/s41558-021-01061-2" ext-link-type="DOI">10.1038/s41558-021-01061-2</ext-link>, 2021.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>The TIPMIP Earth system model experiment protocol: phase 1</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
       Allen, M. R., Frame, D. J., Huntingford, C., Jones, C. D., Lowe, J. A., Meinshausen, M., and Meinshausen, N.: Warming caused by cumulative carbon emissions towards the trillionth tonne, Nature, 458, 1163–1166,  <a href="https://doi.org/10.1038/nature08019" target="_blank">https://doi.org/10.1038/nature08019</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
       Allen, M. R., Friedlingstein, P., Girardin, C. A. J., Jenkins, S., Malhi, Y., Mitchell-Larson, E., Peters, G. P., and Rajamani, L.: Net Zero: Science, Origins, and Implications, Annu. Rev. Env. Resour., 47, 849–887,  <a href="https://doi.org/10.1146/annurev-environ-112320-105050" target="_blank">https://doi.org/10.1146/annurev-environ-112320-105050</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
       Andrews, T., Andrews, M. B., Bodas-Salcedo, A., Jones, G. S., Kuhlbrodt, T., Manners, J., Menary, M. B., Ridley, J., Ringer, M. A., Sellar, A. A., Senior, C. A., and Tang, Y.: Forcings, Feedbacks, and Climate Sensitivity in HadGEM3-GC3.1 and UKESM1, J. Adv. Model. Earth Sy., 11, 4377–4394,  <a href="https://doi.org/10.1029/2019ms001866" target="_blank">https://doi.org/10.1029/2019ms001866</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
       Armstrong McKay, D. I., Staal, A., Abrams, J. F., Winkelmann, R., Sakschewski, B., Loriani, S., Fetzer, I., Cornell, S. E., Rockström, J., and Lenton, T. M.: Exceeding 1.5&thinsp;°C global warming could trigger multiple climate tipping points, Science, 377, <a href="https://doi.org/10.1126/science.abn7950" target="_blank">https://doi.org/10.1126/science.abn7950</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
       Arora, V. K., Katavouta, A., Williams, R. G., Jones, C. D., Brovkin, V., Friedlingstein, P., Schwinger, J., Bopp, L., Boucher, O., Cadule, P., Chamberlain, M. A., Christian, J. R., Delire, C., Fisher, R. A., Hajima, T., Ilyina, T., Joetzjer, E., Kawamiya, M., Koven, C. D., Krasting, J. P., Law, R. M., Lawrence, D. M., Lenton, A., Lindsay, K., Pongratz, J., Raddatz, T., Séférian, R., Tachiiri, K., Tjiputra, J. F., Wiltshire, A., Wu, T., and Ziehn, T.: Carbon–concentration and carbon–climate feedbacks in CMIP6 models and their comparison to CMIP5 models, Biogeosciences, 17, 4173–4222, <a href="https://doi.org/10.5194/bg-17-4173-2020" target="_blank">https://doi.org/10.5194/bg-17-4173-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
       Ben-Yami, M., Good, P., Jackson, L. C., Crucifix, M., Hu, A., Saenko, O., Swingedouw, D., and Boers, N.: Impacts of AMOC Collapse on Monsoon Rainfall: A Multi-Model Comparison, Earths Future, 12,  <a href="https://doi.org/10.1029/2023ef003959" target="_blank">https://doi.org/10.1029/2023ef003959</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
       Bochow, N. and Boers, N.: The South American monsoon approaches a critical transition in response to deforestation, Sci. Adv., 9,  <a href="https://doi.org/10.1126/sciadv.add9973" target="_blank">https://doi.org/10.1126/sciadv.add9973</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
       Boers, N., Marwan, N., Barbosa, H. M. J., and Kurths, J.: A deforestation-induced tipping point for the South American monsoon system, Sci. Rep.-UK, 7,  <a href="https://doi.org/10.1038/srep41489" target="_blank">https://doi.org/10.1038/srep41489</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
       Booth, B. B. B., Jones, C. D., Collins, M., Totterdell, I. J., Cox, P. M., Sitch, S., Huntingford, C., Betts, R. A., Harris, G. R., and Lloyd, J.: High sensitivity of future global warming to land carbon cycle processes, Environ. Res. Lett., 7, 024002,  <a href="https://doi.org/10.1088/1748-9326/7/2/024002" target="_blank">https://doi.org/10.1088/1748-9326/7/2/024002</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
       Bossert, I.: The TIPMIP Earth system model experiment protocol: phase1-datasets for Figs. 2, 3 and 4: v1 (v1), Zenodo [code and data set], <a href="https://doi.org/10.5281/zenodo.17055322" target="_blank">https://doi.org/10.5281/zenodo.17055322</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
       Boulton, C. A., Lenton, T. M., and Boers, N.: Pronounced loss of Amazon rainforest resilience since the early 2000s, Nat. Clim. Change, 12, 271–278, <a href="https://doi.org/10.1038/s41558-022-01287-8" target="_blank">https://doi.org/10.1038/s41558-022-01287-8</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
       Burke, E. J., Zhang, Y., and Krinner, G.: Evaluating permafrost physics in the Coupled Model Intercomparison Project 6 (CMIP6) models and their sensitivity to climate change, The Cryosphere, 14, 3155–3174, <a href="https://doi.org/10.5194/tc-14-3155-2020" target="_blank">https://doi.org/10.5194/tc-14-3155-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
       Caesar, L., Rahmstorf, S., Robinson, A., Feulner, G., and Saba, V.: Observed fingerprint of a weakening Atlantic Ocean overturning circulation, Nature, 556, 191–196,  <a href="https://doi.org/10.1038/s41586-018-0006-5" target="_blank">https://doi.org/10.1038/s41586-018-0006-5</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
       Caesar, L., McCarthy, G. D., Thornalley, D. J. R., Cahill, N., and Rahmstorf, S.: Current Atlantic Meridional Overturning Circulation weakest in last millennium, Nat. Geosci., 14, 118–120,  <a href="https://doi.org/10.1038/s41561-021-00699-z" target="_blank">https://doi.org/10.1038/s41561-021-00699-z</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
       Cassidy, L. J., King, A. D., Brown, J. R., MacDougall, A. H., Ziehn, T., Min, S.-K., and Jones, C. D.: Regional temperature extremes and vulnerability under net zero CO<sub>2</sub> emissions, Environ. Res. Lett., 19, 014051, <a href="https://doi.org/10.1088/1748-9326/ad114a" target="_blank">https://doi.org/10.1088/1748-9326/ad114a</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
       Chamberlain, M. A., Ziehn, T., and Law, R. M.: The Southern Ocean as the climate's freight train – driving ongoing global warming under zero-emission scenarios with ACCESS-ESM1.5, Biogeosciences, 21, 3053–3073, <a href="https://doi.org/10.5194/bg-21-3053-2024" target="_blank">https://doi.org/10.5194/bg-21-3053-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
       Chapman, R., Sinet, S., and Ritchie, P. D. L.: Tipping mechanisms in a conceptual model of the Atlantic Meridional Overturning Circulation, Weather, 79, 316–323,  <a href="https://doi.org/10.1002/wea.7609" target="_blank">https://doi.org/10.1002/wea.7609</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
       Chen, X. and Tung, K.-K.: Global surface warming enhanced by weak Atlantic overturning circulation, Nature, 559, 387–391,  <a href="https://doi.org/10.1038/s41586-018-0320-y" target="_blank">https://doi.org/10.1038/s41586-018-0320-y</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
       Chimuka, V. R. and Zickfeld, K.: Asymmetry in carbon cycle feedbacks and transient climate response under positive and negative CO<sub>2</sub> emissions, EGUsphere [preprint], <a href="https://doi.org/10.5194/egusphere-2025-6405" target="_blank">https://doi.org/10.5194/egusphere-2025-6405</a>, 2026. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
       Cox, P. M., Betts, R. A., Jones, C. D., Spall, S. A., and Totterdell, I. J.: Acceleration of global warming due to carbon-cycle feedbacks in a coupled climate model, Nature, 408, 184–187,  <a href="https://doi.org/10.1038/35041539" target="_blank">https://doi.org/10.1038/35041539</a>, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
       Da Cruz, D. C., Benayas, J. M. R., Ferreira, G. C., Santos, S. R., and Schwartz, G.: An overview of forest loss and restoration in the Brazilian Amazon, New Forest., 52, 1–16,  <a href="https://doi.org/10.1007/s11056-020-09777-3" target="_blank">https://doi.org/10.1007/s11056-020-09777-3</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
       De Vrese, P. and Brovkin, V.: Timescales of the permafrost carbon cycle and legacy effects of temperature overshoot scenarios, Nat. Commun., 12,  <a href="https://doi.org/10.1038/s41467-021-23010-5" target="_blank">https://doi.org/10.1038/s41467-021-23010-5</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
       Defrance, D., Ramstein, G., Charbit, S., Vrac, M., Famien, A. M., Sultan, B., Swingedouw, D., Dumas, C., Gemenne, F., Alvarez-Solas, J., and Vanderlinden, J.-P.: Consequences of rapid ice sheet melting on the Sahelian population vulnerability, P. Natl. Acad. Sci. USA, 114, 6533–6538,  <a href="https://doi.org/10.1073/pnas.1619358114" target="_blank">https://doi.org/10.1073/pnas.1619358114</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
       DeVries, T., Holzer, M., and Primeau, F.: Recent increase in oceanic carbon uptake driven by weaker upper-ocean overturning, Nature, 542, 215–218,  <a href="https://doi.org/10.1038/nature21068" target="_blank">https://doi.org/10.1038/nature21068</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
       Drijfhout, S., Bathiany, S., Beaulieu, C., Brovkin, V., Claussen, M., Huntingford, C., Scheffer, M., Sgubin, G., and Swingedouw, D.: Catalogue of abrupt shifts in Intergovernmental Panel on Climate Change climate models, P. Natl. Acad. Sci. USA, 112,  <a href="https://doi.org/10.1073/pnas.1511451112" target="_blank">https://doi.org/10.1073/pnas.1511451112</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
       Dunne, J. P., John, J. G., Shevliakova, E., Stouffer, R. J., Krasting, J. P., Malyshev, S. L., Milly, P. C. D., Sentman, L. T., Adcroft, A. J., Cooke, W., Dunne, K. A., Griffies, S. M., Hallberg, R. W., Harrison, M. J., Levy, H., Wittenberg, A. T., Phillips, P. J., and Zadeh, N.: GFDL's ESM2 Global Coupled Climate–Carbon Earth System Models. Part II: Carbon System Formulation and Baseline Simulation Characteristics*, J. Climate, 26, 2247–2267, <a href="https://doi.org/10.1175/jcli-d-12-00150.1" target="_blank">https://doi.org/10.1175/jcli-d-12-00150.1</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
       Dunne, J. P., Hewitt, H. T., Arblaster, J. M., Bonou, F., Boucher, O., Cavazos, T., Dingley, B., Durack, P. J., Hassler, B., Juckes, M., Miyakawa, T., Mizielinski, M., Naik, V., Nicholls, Z., O'Rourke, E., Pincus, R., Sanderson, B. M., Simpson, I. R., and Taylor, K. E.: An evolving Coupled Model Intercomparison Project phase 7 (CMIP7) and Fast Track in support of future climate assessment, Geosci. Model Dev., 18, 6671–6700, <a href="https://doi.org/10.5194/gmd-18-6671-2025" target="_blank">https://doi.org/10.5194/gmd-18-6671-2025</a>, 2025. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</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.bib29"><label>29</label><mixed-citation>
       Evin, G., Ribes, A., and Corre, L.: Assessing CMIP6 uncertainties at global warming levels, Clim. Dynam., 62, 8057–8072,  <a href="https://doi.org/10.1007/s00382-024-07323-x" target="_blank">https://doi.org/10.1007/s00382-024-07323-x</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
       Fankhauser, S., Smith, S. M., Allen, M., Axelsson, K., Hale, T., Hepburn, C., Kendall, J. M., Khosla, R., Lezaun, J., Mitchell-Larson, E., Obersteiner, M., Rajamani, L., Rickaby, R., Seddon, N., and Wetzer, T.: The meaning of net zero and how to get it right, Nat. Clim. Change, 12, 15–21,  <a href="https://doi.org/10.1038/s41558-021-01245-w" target="_blank">https://doi.org/10.1038/s41558-021-01245-w</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
       Feldmann, J. and Levermann, A.: Collapse of the West Antarctic Ice Sheet after local destabilization of the Amundsen Basin, P. Natl. Acad. Sci. USA, 112, 14191–14196,  <a href="https://doi.org/10.1073/pnas.1512482112" target="_blank">https://doi.org/10.1073/pnas.1512482112</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
       Fischer, E. M., Sippel, S., and Knutti, R.: Increasing probability of record-shattering climate extremes, Nat. Clim. Change, 11, 689–695,  <a href="https://doi.org/10.1038/s41558-021-01092-9" target="_blank">https://doi.org/10.1038/s41558-021-01092-9</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
       Flores, B. M., Montoya, E., Sakschewski, B., Nascimento, N., Staal, A., Betts, R. A., Levis, C., Lapola, D. M., Esquível-Muelbert, A., Jakovac, C., Nobre, C. A., Oliveira, R. S., Borma, L. S., Nian, D., Boers, N., Hecht, S. B., Ter Steege, H., Arieira, J., Lucas, I. L., Berenguer, E., Marengo, J. A., Gatti, L. V., Mattos, C. R. C., and Hirota, M.: Critical transitions in the Amazon forest system, Nature, 626, 555–564, <a href="https://doi.org/10.1038/s41586-023-06970-0" target="_blank">https://doi.org/10.1038/s41586-023-06970-0</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
       Fons, E., Runge, J., Neubauer, D., and Lohmann, U.: Stratocumulus adjustments to aerosol perturbations disentangled with a causal approach, npj Clim. Atmos. Sci., 6,  <a href="https://doi.org/10.1038/s41612-023-00452-w" target="_blank">https://doi.org/10.1038/s41612-023-00452-w</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
       Foster, G. and Rahmstorf, S.: Global Warming Has Accelerated Significantly, Geophys. Res. Lett., 53, e2025GL118804,  <a href="https://doi.org/10.1029/2025GL118804" target="_blank">https://doi.org/10.1029/2025GL118804</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
       Franzke, C. L. E., Ciullo, A., Gilmore, E. A., Matias, D. M., Nagabhatla, N., Orlov, A., Paterson, S. K., Scheffran, J., and Sillmann, J.: Perspectives on tipping points in integrated models of the natural and human Earth system: cascading effects and telecoupling, Environ. Res. Lett., 17, 015004,  <a href="https://doi.org/10.1088/1748-9326/ac42fd" target="_blank">https://doi.org/10.1088/1748-9326/ac42fd</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
       Fraser, N. J. and Cunningham, S. A.: 120 Years of AMOC Variability Reconstructed From Observations Using the Bernoulli Inverse, Geophys. Res. Lett., 48,  <a href="https://doi.org/10.1029/2021gl093893" target="_blank">https://doi.org/10.1029/2021gl093893</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
       Friedlingstein, P., O'Sullivan, M., Jones, M. W., Andrew, R. M., Hauck, J., Landschützer, P., Le Quéré, C., Li, H., Luijkx, I. T., Olsen, A., Peters, G. P., Peters, W., Pongratz, J., Schwingshackl, C., Sitch, S., Canadell, J. G., Ciais, P., Jackson, R. B., Alin, S. R., Arneth, A., Arora, V., Bates, N. R., Becker, M., Bellouin, N., Berghoff, C. F., Bittig, H. C., Bopp, L., Cadule, P., Campbell, K., Chamberlain, M. A., Chandra, N., Chevallier, F., Chini, L. P., Colligan, T., Decayeux, J., Djeutchouang, L. M., Dou, X., Duran Rojas, C., Enyo, K., Evans, W., Fay, A. R., Feely, R. A., Ford, D. J., Foster, A., Gasser, T., Gehlen, M., Gkritzalis, T., Grassi, G., Gregor, L., Gruber, N., Gürses, Ö., Harris, I., Hefner, M., Heinke, J., Hurtt, G. C., Iida, Y., Ilyina, T., Jacobson, A. R., Jain, A. K., Jarníková, T., Jersild, A., Jiang, F., Jin, Z., Kato, E., Keeling, R. F., Klein Goldewijk, K., Knauer, J., Korsbakken, J. I., Lan, X., Lauvset, S. K., Lefèvre, N., Liu, Z., Liu, J., Ma, L., Maksyutov, S., Marland, G., Mayot, N., McGuire, P. C., Metzl, N., Monacci, N. M., Morgan, E. J., Nakaoka, S.-I., Neill, C., Niwa, Y., Nützel, T., Olivier, L., Ono, T., Palmer, P. I., Pierrot, D., Qin, Z., Resplandy, L., Roobaert, A., Rosan, T. M., Rödenbeck, C., Schwinger, J., Smallman, T. L., Smith, S. M., Sospedra-Alfonso, R., Steinhoff, T., Sun, Q., Sutton, A. J., Séférian, R., Takao, S., Tatebe, H., Tian, H., Tilbrook, B., Torres, O., Tourigny, E., Tsujino, H., Tubiello, F., van der Werf, G., Wanninkhof, R., Wang, X., Yang, D., Yang, X., Yu, Z., Yuan, W., Yue, X., Zaehle, S., Zeng, N., and Zeng, J.: Global Carbon Budget 2024, Earth Syst. Sci. Data, 17, 965–1039, <a href="https://doi.org/10.5194/essd-17-965-2025" target="_blank">https://doi.org/10.5194/essd-17-965-2025</a>, 2025. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
       Frieler, K., Volkholz, J., Lange, S., Schewe, J., Mengel, M., del Rocío Rivas López, M., Otto, C., Reyer, C. P. O., Karger, D. N., Malle, J. T., Treu, S., Menz, C., Blanchard, J. L., Harrison, C. S., Petrik, C. M., Eddy, T. D., Ortega-Cisneros, K., Novaglio, C., Rousseau, Y., Watson, R. A., Stock, C., Liu, X., Heneghan, R., Tittensor, D., Maury, O., Büchner, M., Vogt, T., Wang, T., Sun, F., Sauer, I. J., Koch, J., Vanderkelen, I., Jägermeyr, J., Müller, C., Rabin, S., Klar, J., Vega del Valle, I. D., Lasslop, G., Chadburn, S., Burke, E., Gallego-Sala, A., Smith, N., Chang, J., Hantson, S., Burton, C., Gädeke, A., Li, F., Gosling, S. N., Müller Schmied, H., Hattermann, F., Wang, J., Yao, F., Hickler, T., Marcé, R., Pierson, D., Thiery, W., Mercado-Bettín, D., Ladwig, R., Ayala-Zamora, A. I., Forrest, M., and Bechtold, M.: Scenario setup and forcing data for impact model evaluation and impact attribution within the third round of the Inter-Sectoral Impact Model Intercomparison Project (ISIMIP3a), Geosci. Model Dev., 17, 1–51, <a href="https://doi.org/10.5194/gmd-17-1-2024" target="_blank">https://doi.org/10.5194/gmd-17-1-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
       Fröb, F., Bourgeois, T., Goris, N., Schwinger, J., and Heinze, C.: Simulated Abrupt Shifts in Aerobic Habitats of Marine Species in the Past, Present, and Future, Earths Future, 12, <a href="https://doi.org/10.1029/2023ef004141" target="_blank">https://doi.org/10.1029/2023ef004141</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
      
Frölicher, T. L. and Joos, F.: Reversible and irreversible impacts of greenhouse gas emissions in multi-century projections with the NCAR global coupled carbon cycle-climate model, Clim. Dyna,, 35, 1439–1459, <a href="https://doi.org/10.1007/s00382-009-0727-0" target="_blank">https://doi.org/10.1007/s00382-009-0727-0</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
       Frölicher, T. L. and Paynter, D. J.: Extending the relationship between global warming and cumulative carbon emissions to multi-millennial timescales, Environ. Res. Lett., 10, 075002, <a href="https://doi.org/10.1088/1748-9326/10/7/075002" target="_blank">https://doi.org/10.1088/1748-9326/10/7/075002</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
       Garbe, J., Albrecht, T., Levermann, A., Donges, J. F., and Winkelmann, R.: The hysteresis of the Antarctic Ice Sheet, Nature, 585, 538–544,  <a href="https://doi.org/10.1038/s41586-020-2727-5" target="_blank">https://doi.org/10.1038/s41586-020-2727-5</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
       Gerten, D., Lucht, W., Ostberg, S., Heinke, J., Kowarsch, M., Kreft, H., Kundzewicz, Z. W., Rastgooy, J., Warren, R., and Schellnhuber, H. J.: Asynchronous exposure to global warming: freshwater resources and terrestrial ecosystems, Environ. Res. Lett., 8, 034032,  <a href="https://doi.org/10.1088/1748-9326/8/3/034032" target="_blank">https://doi.org/10.1088/1748-9326/8/3/034032</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
       Gidden, M. J., Riahi, K., Smith, S. J., Fujimori, S., Luderer, G., Kriegler, E., van Vuuren, D. P., van den Berg, M., Feng, L., Klein, D., Calvin, K., Doelman, J. C., Frank, S., Fricko, O., Harmsen, M., Hasegawa, T., Havlik, P., Hilaire, J., Hoesly, R., Horing, J., Popp, A., Stehfest, E., and Takahashi, K.: Global emissions pathways under different socioeconomic scenarios for use in CMIP6: a dataset of harmonized emissions trajectories through the end of the century, Geosci. Model Dev., 12, 1443–1475, <a href="https://doi.org/10.5194/gmd-12-1443-2019" target="_blank">https://doi.org/10.5194/gmd-12-1443-2019</a>, 2019. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
       Gidden, M. J., Joshi, S., Armitage, J. J., Christ, A.-B., Boettcher, M., Brutschin, E., Köberle, A. C., Riahi, K., Schellnhuber, H. J., Schleussner, C.-F., and Rogelj, J.: A prudent planetary limit for geologic carbon storage, Nature, 645, 124–132, <a href="https://doi.org/10.1038/s41586-025-09423-y" target="_blank">https://doi.org/10.1038/s41586-025-09423-y</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
       Gillett, N. P., Arora, V. K., Zickfeld, K., Marshall, S. J., and Merryfield, W. J.: Ongoing climate change following a complete cessation of carbon dioxide emissions, Nat. Geosci., 4, 83–87,  <a href="https://doi.org/10.1038/ngeo1047" target="_blank">https://doi.org/10.1038/ngeo1047</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
       Gillett, N. P., Kirchmeier-Young, M., Ribes, A., Shiogama, H., Hegerl, G. C., Knutti, R., Gastineau, G., John, J. G., Li, L., Nazarenko, L., Rosenbloom, N., Seland, Ø., Wu, T., Yukimoto, S., and Ziehn, T.: Constraining human contributions to observed warming since the pre-industrial period, Nat. Clim. Change, 11, 207–212, <a href="https://doi.org/10.1038/s41558-020-00965-9" target="_blank">https://doi.org/10.1038/s41558-020-00965-9</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
       Golledge, N. R., Levy, R. H., McKay, R. M., and Naish, T. R.: East Antarctic ice sheet most vulnerable to Weddell Sea warming, Geophys. Res. Lett., 44, 2343–2351,  <a href="https://doi.org/10.1002/2016gl072422" target="_blank">https://doi.org/10.1002/2016gl072422</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
       Good, P., Jones, C., Lowe, J., Betts, R., Booth, B., and Huntingford, C.: Quantifying Environmental Drivers of Future Tropical Forest Extent, J. Climate, 24, 1337–1349,  <a href="https://doi.org/10.1175/2010jcli3865.1" target="_blank">https://doi.org/10.1175/2010jcli3865.1</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
       Gregory, J. M., George, S. E., and Smith, R. S.: Large and irreversible future decline of the Greenland ice sheet, The Cryosphere, 14, 4299–4322, <a href="https://doi.org/10.5194/tc-14-4299-2020" target="_blank">https://doi.org/10.5194/tc-14-4299-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
       Heinze, C., Blenckner, T., Martins, H., Rusiecka, D., Döscher, R., Gehlen, M., Gruber, N., Holland, E., Hov, Ø., Joos, F., Matthews, J. B. R., Rødven, R., and Wilson, S.: The quiet crossing of ocean tipping points, P. Natl. Acad. Sci. USA, 118, <a href="https://doi.org/10.1073/pnas.2008478118" target="_blank">https://doi.org/10.1073/pnas.2008478118</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
       Heinze, C., Blenckner, T., Brown, P., Fröb, F., Morée, A., New, A. L., Nissen, C., Rynders, S., Seguro, I., Aksenov, Y., Artioli, Y., Bourgeois, T., Burger, F., Buzan, J., Cael, B. B., Yumruktepe, V. Ç., Chierici, M., Danek, C., Dieckmann, U., Fransson, A., Frölicher, T., Galli, G., Gehlen, M., González, A. G., Gonzalez-Davila, M., Gruber, N., Gustafsson, Ö., Hauck, J., Heino, M., Henson, S., Hieronymus, J., Huertas, I. E., Jebri, F., Jeltsch-Thömmes, A., Joos, F., Joshi, J., Kelly, S., Menon, N., Mongwe, P., Oziel, L., Ólafsdottir, S., Palmieri, J., Pérez, F. F., Ranith, R. P., Ramanantsoa, J., Roy, T., Rusiecka, D., Santana Casiano, J. M., Santana-Falcón, Y., Schwinger, J., Séférian, R., Seifert, M., Shchiptsova, A., Sinha, B., Somes, C., Steinfeldt, R., Tao, D., Tjiputra, J., Ulfsbo, A., Völker, C., Wakamatsu, T., and Ye, Y.: Reviews and syntheses: Abrupt ocean biogeochemical change under human-made climatic forcing – warming, acidification, and deoxygenation, Biogeosciences Discuss. [preprint], <a href="https://doi.org/10.5194/bg-2023-182" target="_blank">https://doi.org/10.5194/bg-2023-182</a>, 2023. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
       Held, I. M., Winton, M., Takahashi, K., Delworth, T., Zeng, F., and Vallis, G. K.: Probing the Fast and Slow Components of Global Warming by Returning Abruptly to Preindustrial Forcing, J. Climate, 23, 2418–2427,  <a href="https://doi.org/10.1175/2009jcli3466.1" target="_blank">https://doi.org/10.1175/2009jcli3466.1</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
       Heuzé, C. and Jahn, A.: The first ice-free day in the Arctic Ocean could occur before 2030, Nat. Commun., 15, <a href="https://doi.org/10.1038/s41467-024-54508-3" target="_blank">https://doi.org/10.1038/s41467-024-54508-3</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
       Höning, D., Willeit, M., Calov, R., Klemann, V., Bagge, M., and Ganopolski, A.: Multistability and Transient Response of the Greenland Ice Sheet to Anthropogenic CO<sub>2</sub> Emissions, Geophys. Res. Lett., 50, <a href="https://doi.org/10.1029/2022gl101827" target="_blank">https://doi.org/10.1029/2022gl101827</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
       Horton, D. E., Johnson, N. C., Singh, D., Swain, D. L., Rajaratnam, B., and Diffenbaugh, N. S.: Contribution of changes in atmospheric circulation patterns to extreme temperature trends, Nature, 522, 465–469,  <a href="https://doi.org/10.1038/nature14550" target="_blank">https://doi.org/10.1038/nature14550</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
       Hu, A., Otto-Bliesner, B. L., Meehl, G. A., Han, W., Morrill, C., Brady, E. C., and Briegleb, B.: Response of Thermohaline Circulation to Freshwater Forcing under Present-Day and LGM Conditions, J. Climate, 21, 2239–2258,  <a href="https://doi.org/10.1175/2007jcli1985.1" target="_blank">https://doi.org/10.1175/2007jcli1985.1</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
       IPCC: The Ocean and Cryosphere in a Changing Climate: Special Report of the Intergovernmental Panel on Climate Change, 1st edn., Cambridge University Press,  <a href="https://doi.org/10.1017/9781009157964" target="_blank">https://doi.org/10.1017/9781009157964</a>, 2022a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
       IPCC: Global Warming of 1.5&thinsp;°C: IPCC Special Report on Impacts of Global Warming of 1.5&thinsp;°C above Pre-industrial Levels in Context of Strengthening Response to Climate Change, Sustainable Development, and Efforts to Eradicate Poverty, 1st edn., Cambridge University Press, <a href="https://doi.org/10.1017/9781009157940" target="_blank">https://doi.org/10.1017/9781009157940</a>, 2022b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
       IPCC: Climate Change 2021 – The Physical Science Basis: Working Group I Contribution to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, 1st Edn., Cambridge University Press,  <a href="https://doi.org/10.1017/9781009157896" target="_blank">https://doi.org/10.1017/9781009157896</a>, 2023a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
       IPCC: Climate Change 2023: Synthesis Report, Summary for Policymakers. Contribution of Working Groups I, II and III to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, IPCC, Geneva, Switzerland,  <a href="https://doi.org/10.59327/ipcc/ar6-9789291691647.001" target="_blank">https://doi.org/10.59327/ipcc/ar6-9789291691647.001</a>, 2023b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
       Jackson, L. C., Kahana, R., Graham, T., Ringer, M. A., Woollings, T., Mecking, J. V., and Wood, R. A.: Global and European climate impacts of a slowdown of the AMOC in a high resolution GCM, Clim. Dynam., 45, 3299–3316,  <a href="https://doi.org/10.1007/s00382-015-2540-2" target="_blank">https://doi.org/10.1007/s00382-015-2540-2</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
       Jackson, L. C., Alastrué de Asenjo, E., Bellomo, K., Danabasoglu, G., Haak, H., Hu, A., Jungclaus, J., Lee, W., Meccia, V. L., Saenko, O., Shao, A., and Swingedouw, D.: Understanding AMOC stability: the North Atlantic Hosing Model Intercomparison Project, Geosci. Model Dev., 16, 1975–1995, <a href="https://doi.org/10.5194/gmd-16-1975-2023" target="_blank">https://doi.org/10.5194/gmd-16-1975-2023</a>, 2023. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
       Jaureguiberry, P., Titeux, N., Wiemers, M., Bowler, D. E., Coscieme, L., Golden, A. S., Guerra, C. A., Jacob, U., Takahashi, Y., Settele, J., Díaz, S., Molnár, Z., and Purvis, A.: The direct drivers of recent global anthropogenic biodiversity loss, Sci. Adv., 8, <a href="https://doi.org/10.1126/sciadv.abm9982" target="_blank">https://doi.org/10.1126/sciadv.abm9982</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
       Jeltsch-Thömmes, A., Stocker, T. F., and Joos, F.: Hysteresis of the Earth system under positive and negative CO<sub>2</sub> emissions, Environ. Res. Lett., 15, 124026, <a href="https://doi.org/10.1088/1748-9326/abc4af" target="_blank">https://doi.org/10.1088/1748-9326/abc4af</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
       Jensen, L., Gerdener, H., Eicker, A., Kusche, J., and Fiedler, S.: Observations indicate regionally misleading wetting and drying trends in CMIP6, npj Clim. Atmos. Sci., 7,  <a href="https://doi.org/10.1038/s41612-024-00788-x" target="_blank">https://doi.org/10.1038/s41612-024-00788-x</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
       Jones, C. D. and Friedlingstein, P.: Quantifying process-level uncertainty contributions to TCRE and carbon budgets for meeting Paris Agreement climate targets, Environ. Res. Lett., 15, 074019,  <a href="https://doi.org/10.1088/1748-9326/ab858a" target="_blank">https://doi.org/10.1088/1748-9326/ab858a</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
       Jones, C. D., Ciais, P., Davis, S. J., Friedlingstein, P., Gasser, T., Peters, G. P., Rogelj, J., Van Vuuren, D. P., Canadell, J. G., Cowie, A., Jackson, R. B., Jonas, M., Kriegler, E., Littleton, E., Lowe, J. A., Milne, J., Shrestha, G., Smith, P., Torvanger, A., and Wiltshire, A.: Simulating the Earth system response to negative emissions, Environ. Res. Lett., 11, 095012,  <a href="https://doi.org/10.1088/1748-9326/11/9/095012" target="_blank">https://doi.org/10.1088/1748-9326/11/9/095012</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
       Jones, C. D., Frölicher, T. L., Koven, C., MacDougall, A. H., Matthews, H. D., Zickfeld, K., Rogelj, J., Tokarska, K. B., Gillett, N. P., Ilyina, T., Meinshausen, M., Mengis, N., Séférian, R., Eby, M., and Burger, F. A.: The Zero Emissions Commitment Model Intercomparison Project (ZECMIP) contribution to C4MIP: quantifying committed climate changes following zero carbon emissions, Geosci. Model Dev., 12, 4375–4385, <a href="https://doi.org/10.5194/gmd-12-4375-2019" target="_blank">https://doi.org/10.5194/gmd-12-4375-2019</a>, 2019. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
       Licon-Salaiz, J.: tipmip-methods/tipmip-data-req: v1.1.1 (v1.1.1),  Zenodo [code], <a href="https://doi.org/10.5281/zenodo.15189530" target="_blank">https://doi.org/10.5281/zenodo.15189530</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
       Keller, D. P., Lenton, A., Scott, V., Vaughan, N. E., Bauer, N., Ji, D., Jones, C. D., Kravitz, B., Muri, H., and Zickfeld, K.: The Carbon Dioxide Removal Model Intercomparison Project (CDRMIP): rationale and experimental protocol for CMIP6, Geosci. Model Dev., 11, 1133–1160, <a href="https://doi.org/10.5194/gmd-11-1133-2018" target="_blank">https://doi.org/10.5194/gmd-11-1133-2018</a>, 2018. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
       Kilbourne, K. H., Wanamaker, A. D., Moffa-Sanchez, P., Reynolds, D. J., Amrhein, D. E., Butler, P. G., Gebbie, G., Goes, M., Jansen, M. F., Little, C. M., Mette, M., Moreno-Chamarro, E., Ortega, P., Otto-Bliesner, B. L., Rossby, T., Scourse, J., and Whitney, N. M.: Atlantic circulation change still uncertain, Nat. Geosci., 15, 165–167,  <a href="https://doi.org/10.1038/s41561-022-00896-4" target="_blank">https://doi.org/10.1038/s41561-022-00896-4</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
       Kim, S.-K. and An, S.-I.: Emergence of a climate oscillation in the Arctic Ocean due to global warming, Nat. Clim. Change, 14, 1268–1274,  <a href="https://doi.org/10.1038/s41558-024-02171-3" target="_blank">https://doi.org/10.1038/s41558-024-02171-3</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>
       King, A. D., Lane, T. P., Henley, B. J., and Brown, J. R.: Global and regional impacts differ between transient and equilibrium warmer worlds, Nat. Clim. Change, 10, 42–47,  <a href="https://doi.org/10.1038/s41558-019-0658-7" target="_blank">https://doi.org/10.1038/s41558-019-0658-7</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>
       King, A. D., Sniderman, J. M. K., Dittus, A. J., Brown, J. R., Hawkins, E., and Ziehn, T.: Studying climate stabilization at Paris Agreement levels, Nat. Clim. Change, 11, 1010–1013,  <a href="https://doi.org/10.1038/s41558-021-01225-0" target="_blank">https://doi.org/10.1038/s41558-021-01225-0</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
       King, A. D., Ziehn, T., Chamberlain, M., Borowiak, A. R., Brown, J. R., Cassidy, L., Dittus, A. J., Grose, M., Maher, N., Paik, S., Perkins-Kirkpatrick, S. E., and Sengupta, A.: Exploring climate stabilisation at different global warming levels in ACCESS-ESM-1.5, Earth Syst. Dynam., 15, 1353–1383, <a href="https://doi.org/10.5194/esd-15-1353-2024" target="_blank">https://doi.org/10.5194/esd-15-1353-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
       Kjellström, E., Nikulin, G., Strandberg, G., Christensen, O. B., Jacob, D., Keuler, K., Lenderink, G., van Meijgaard, E., Schär, C., Somot, S., Sørland, S. L., Teichmann, C., and Vautard, R.: European climate change at global mean temperature increases of 1.5 and 2&thinsp;°C above pre-industrial conditions as simulated by the EURO-CORDEX regional climate models, Earth Syst. Dynam., 9, 459–478, <a href="https://doi.org/10.5194/esd-9-459-2018" target="_blank">https://doi.org/10.5194/esd-9-459-2018</a>, 2018. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
       Klose, A. K., Karle, V., Winkelmann, R., and Donges, J. F.: Emergence of cascading dynamics in interacting tipping elements of ecology and climate, Roy. Soc. Open Sci., 7, 200599,  <a href="https://doi.org/10.1098/rsos.200599" target="_blank">https://doi.org/10.1098/rsos.200599</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
       Klose, A. K., Donges, J. F., Feudel, U., and Winkelmann, R.: Rate-induced tipping cascades arising from interactions between the Greenland Ice Sheet and the Atlantic Meridional Overturning Circulation, Earth Syst. Dynam., 15, 635–652, <a href="https://doi.org/10.5194/esd-15-635-2024" target="_blank">https://doi.org/10.5194/esd-15-635-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
       Koenigk, T., Bärring, L., Matei, D., Nikulin, G., Strandberg, G., Tyrlis, E., Wang, S., and Wilcke, R.: On the contribution of internal climate variability to European future climate trends, Tellus A, 72, 1788901, <a href="https://doi.org/10.1080/16000870.2020.1788901" target="_blank">https://doi.org/10.1080/16000870.2020.1788901</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>
       Koven, C. D.: Boreal carbon loss due to poleward shift in low-carbon ecosystems, Nat. Geosci., 6, 452–456,  <a href="https://doi.org/10.1038/ngeo1801" target="_blank">https://doi.org/10.1038/ngeo1801</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation>
       Koven, C. D., Arora, V. K., Cadule, P., Fisher, R. A., Jones, C. D., Lawrence, D. M., Lewis, J., Lindsay, K., Mathesius, S., Meinshausen, M., Mills, M., Nicholls, Z., Sanderson, B. M., Séférian, R., Swart, N. C., Wieder, W. R., and Zickfeld, K.: Multi-century dynamics of the climate and carbon cycle under both high and net negative emissions scenarios, Earth Syst. Dynam., 13, 885–909, <a href="https://doi.org/10.5194/esd-13-885-2022" target="_blank">https://doi.org/10.5194/esd-13-885-2022</a>, 2022. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</label><mixed-citation>
       Koven, C. D., Sanderson, B. M., and Swann, A. L. S.: Much of zero emissions commitment occurs before reaching net zero emissions, Environ. Res. Lett., 18, 014017,  <a href="https://doi.org/10.1088/1748-9326/acab1a" target="_blank">https://doi.org/10.1088/1748-9326/acab1a</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>85</label><mixed-citation>
       Krasting, J. P., Dunne, J. P., Shevliakova, E., and Stouffer, R. J.: Trajectory sensitivity of the transient climate response to cumulative carbon emissions, Geophys. Res. Lett., 41, 2520–2527,  <a href="https://doi.org/10.1002/2013gl059141" target="_blank">https://doi.org/10.1002/2013gl059141</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>86</label><mixed-citation>
       Kubelka, V., Sandercock, B. K., Székely, T., and Freckleton, R. P.: Animal migration to northern latitudes: environmental changes and increasing threats, Trends Ecol. Evol., 37, 30–41, <a href="https://doi.org/10.1016/j.tree.2021.08.010" target="_blank">https://doi.org/10.1016/j.tree.2021.08.010</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>87</label><mixed-citation>
       Kug, J.-S., Oh, J.-H., An, S.-I., Yeh, S.-W., Min, S.-K., Son, S.-W., Kam, J., Ham, Y.-G., and Shin, J.: Hysteresis of the intertropical convergence zone to CO2 forcing, Nat. Clim. Change, 12, 47–53,  <a href="https://doi.org/10.1038/s41558-021-01211-6" target="_blank">https://doi.org/10.1038/s41558-021-01211-6</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>88</label><mixed-citation>
       Lacroix, F., Burger, F. A., Silvy, Y., Schleussner, C., and Frölicher, T. L.: Persistently Elevated High-Latitude Ocean Temperatures and Global Sea Level Following Temporary Temperature Overshoots, Earths Future, 12, <a href="https://doi.org/10.1029/2024ef004862" target="_blank">https://doi.org/10.1029/2024ef004862</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>89</label><mixed-citation>
       Lennard, C. J., Nikulin, G., Dosio, A., and Moufouma-Okia, W.: On the need for regional climate information over Africa under varying levels of global warming, Environ. Res. Lett., 13, 060401,  <a href="https://doi.org/10.1088/1748-9326/aab2b4" target="_blank">https://doi.org/10.1088/1748-9326/aab2b4</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>90</label><mixed-citation>
       Lenton, T. M.: Arctic Climate Tipping Points, AMBIO, 41, 10–22,  <a href="https://doi.org/10.1007/s13280-011-0221-x" target="_blank">https://doi.org/10.1007/s13280-011-0221-x</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>91</label><mixed-citation>
       Lenton, T. M., Held, H., Kriegler, E., Hall, J. W., Lucht, W., Rahmstorf, S., and Schellnhuber, H. J.: Tipping elements in the Earth's climate system, P. Natl. Acad. Sci. USA, 105, 1786–1793,  <a href="https://doi.org/10.1073/pnas.0705414105" target="_blank">https://doi.org/10.1073/pnas.0705414105</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>92</label><mixed-citation>
       Lenton, T. M., Rockström, J., Gaffney, O., Rahmstorf, S., Richardson, K., Steffen, W., and Schellnhuber, H. J.: Climate tipping points – too risky to bet against, Nature, 575, 592–595, <a href="https://doi.org/10.1038/d41586-019-03595-0" target="_blank">https://doi.org/10.1038/d41586-019-03595-0</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>93</label><mixed-citation>
       Lenton, T. M., Armstrong McKay, D. I., Loriani, S., Abrams, J. F., Lade, S. J., Donges, J. F., Milkoreit, M., Powell, T., Smith, S. R., Zimm, C., Buxton, J. E., Bailey, E., Laybourn, L., Ghadiali, A., and Dyke, J. G. (Eds.): The Global Tipping Points Report 2023, University of Exeter, Exeter, UK,  <a href="https://doi.org/10.5281/zenodo.15188118" target="_blank">https://doi.org/10.5281/zenodo.15188118</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>94</label><mixed-citation>
       Lenton, T. M., Abrams, J. F., Bartsch, A., Bathiany, S., Boulton, C. A., Buxton, J. E., Conversi, A., Cunliffe, A. M., Hebden, S., Lavergne, T., Poulter, B., Shepherd, A., Smith, T., Swingedouw, D., Winkelmann, R., and Boers, N.: Remotely sensing potential climate change tipping points across scales, Nat. Commun., 15,  <a href="https://doi.org/10.1038/s41467-023-44609-w" target="_blank">https://doi.org/10.1038/s41467-023-44609-w</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>95</label><mixed-citation>
       Lenton, T. M., Milkoreit, M., Willcock, S., Abrams, J. F., Armstrong, McKay, D. I., Buxton, J. E., Donges, J. F., Loriani, S., Wunderling, N., Alkemade, F., Barrett, M., Constantino, S., Powell, T., Smith, S. R., and Boulton, C. A., Pinho, P., Dijkstra, H. A. Pearce-Kelly, P., Roman Cuesta, R. M., Dennis, D. (Eds.): 2: The Global Tipping Points Report 2025, University of Exeter, Exeter, UK, <a href="https://doi.org/10.5281/zenodo.18163977" target="_blank">https://doi.org/10.5281/zenodo.18163977</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>96</label><mixed-citation>
       Levermann, A. and Winkelmann, R.: A simple equation for the melt elevation feedback of ice sheets, The Cryosphere, 10, 1799–1807, <a href="https://doi.org/10.5194/tc-10-1799-2016" target="_blank">https://doi.org/10.5194/tc-10-1799-2016</a>, 2016. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>97</label><mixed-citation>
       Levermann, A., Clark, P. U., Marzeion, B., Milne, G. A., Pollard, D., Radic, V., and Robinson, A.: The multimillennial sea-level commitment of global warming, P. Natl. Acad. Sci. USA, 110, 13745–13750,  <a href="https://doi.org/10.1073/pnas.1219414110" target="_blank">https://doi.org/10.1073/pnas.1219414110</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>98</label><mixed-citation>
       Li, S., Huang, G., Li, X., Liu, J., and Fan, G.: An Assessment of the Antarctic Sea Ice Mass Budget Simulation in CMIP6 Historical Experiment, Front. Earth Sci., 9,  <a href="https://doi.org/10.3389/feart.2021.649743" target="_blank">https://doi.org/10.3389/feart.2021.649743</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>99</label><mixed-citation>
       Litzow, M. A. and Hunsicker, M. E.: Early warning signals, nonlinearity, and signs of hysteresis in real ecosystems, Ecosphere, 7,  <a href="https://doi.org/10.1002/ecs2.1614" target="_blank">https://doi.org/10.1002/ecs2.1614</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib100"><label>100</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., 6,  <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.bib101"><label>101</label><mixed-citation>
       Liu-Helmersson, J., Stenlund, H., Wilder-Smith, A., and Rocklöv, J.: Vectorial Capacity of Aedes aegypti: Effects of Temperature and Implications for Global Dengue Epidemic Potential, PLoS One, 9, e89783, <a href="https://doi.org/10.1371/journal.pone.0089783" target="_blank">https://doi.org/10.1371/journal.pone.0089783</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib102"><label>102</label><mixed-citation>
       Loeb, N. G., Thorsen, T. J., Kato, S., Rose, F. G., Hodnebrog, Ø., and Myhre, G.: Emerging hemispheric asymmetry of Earth's radiation, P. Natl. Acad. Sci. USA, 122, e2511595122, <a href="https://doi.org/10.1073/pnas.2511595122" target="_blank">https://doi.org/10.1073/pnas.2511595122</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib103"><label>103</label><mixed-citation>
       Lovejoy, T. E. and Nobre, C.: Amazon Tipping Point, Sci. Adv., 4,  <a href="https://doi.org/10.1126/sciadv.aat2340" target="_blank">https://doi.org/10.1126/sciadv.aat2340</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib104"><label>104</label><mixed-citation>
       MacDougall, A. H., Frölicher, T. L., Jones, C. D., Rogelj, J., Matthews, H. D., Zickfeld, K., Arora, V. K., Barrett, N. J., Brovkin, V., Burger, F. A., Eby, M., Eliseev, A. V., Hajima, T., Holden, P. B., Jeltsch-Thömmes, A., Koven, C., Mengis, N., Menviel, L., Michou, M., Mokhov, I. I., Oka, A., Schwinger, J., Séférian, R., Shaffer, G., Sokolov, A., Tachiiri, K., Tjiputra, J., Wiltshire, A., and Ziehn, T.: Is there warming in the pipeline? A multi-model analysis of the Zero Emissions Commitment from CO<sub>2</sub>,  Biogeosciences, 17, 2987–3016, <a href="https://doi.org/10.5194/bg-17-2987-2020" target="_blank">https://doi.org/10.5194/bg-17-2987-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib105"><label>105</label><mixed-citation>
       Matthews, H. D., Gillett, N. P., Stott, P. A., and Zickfeld, K.: The proportionality of global warming to cumulative carbon emissions, Nature, 459, 829–832,  <a href="https://doi.org/10.1038/nature08047" target="_blank">https://doi.org/10.1038/nature08047</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib106"><label>106</label><mixed-citation>
       McCarthy, G. D. and Caesar, L.: Can we trust projections of AMOC weakening based on climate models that cannot reproduce the past?, Philos. T. R. Soc. A, 381,  <a href="https://doi.org/10.1098/rsta.2022.0193" target="_blank">https://doi.org/10.1098/rsta.2022.0193</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib107"><label>107</label><mixed-citation>
       Mecking, J. V., Drijfhout, S. S., Jackson, L. C., and Andrews, M. B.: The effect of model bias on Atlantic freshwater transport and implications for AMOC bi-stability, Tellus A, 69, 1299910,  <a href="https://doi.org/10.1080/16000870.2017.1299910" target="_blank">https://doi.org/10.1080/16000870.2017.1299910</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib108"><label>108</label><mixed-citation>
       Menary, M. B., Robson, J., Allan, R. P., Booth, B. B. B., Cassou, C., Gastineau, G., Gregory, J., Hodson, D., Jones, C., Mignot, J., Ringer, M., Sutton, R., Wilcox, L., and Zhang, R.: Aerosol-Forced AMOC Changes in CMIP6 Historical Simulations, Geophys. Res. Lett., 47,  <a href="https://doi.org/10.1029/2020gl088166" target="_blank">https://doi.org/10.1029/2020gl088166</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib109"><label>109</label><mixed-citation>
       Myksvoll, M. S., Britt Sandø, A., Tjiputra, J., Samuelsen, A., Çağlar Yumruktepe, V., Li, C., Mousing, E. A., Bettencourt, J. P. H., and Ottersen, G.: Key physical processes and their model representation for projecting climate impacts on subarctic Atlantic net primary production: A synthesis, Prog. Oceanogr., 217, 103084, <a href="https://doi.org/10.1016/j.pocean.2023.103084" target="_blank">https://doi.org/10.1016/j.pocean.2023.103084</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib110"><label>110</label><mixed-citation>
       Natali, S. M., Holdren, J. P., Rogers, B. M., Treharne, R., Duffy, P. B., Pomerance, R., and MacDonald, E.: Permafrost carbon feedbacks threaten global climate goals, P. Natl. Acad. Sci. USA, 118,  <a href="https://doi.org/10.1073/pnas.2100163118" target="_blank">https://doi.org/10.1073/pnas.2100163118</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib111"><label>111</label><mixed-citation>
       Naughten, K. A., Holland, P. R., and De Rydt, J.: Unavoidable future increase in West Antarctic ice-shelf melting over the twenty-first century, Nat. Clim. Change, 13, 1222–1228,  <a href="https://doi.org/10.1038/s41558-023-01818-x" target="_blank">https://doi.org/10.1038/s41558-023-01818-x</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib112"><label>112</label><mixed-citation>
       Nitzbon, J., Schneider Von Deimling, T., Aliyeva, M., Chadburn, S. E., Grosse, G., Laboor, S., Lee, H., Lohmann, G., Steinert, N. J., Stuenzi, S. M., Werner, M., Westermann, S., and Langer, M.: No respite from permafrost-thaw impacts in the absence of a global tipping point, Nat. Clim. Change, 14, 573–585,  <a href="https://doi.org/10.1038/s41558-024-02011-4" target="_blank">https://doi.org/10.1038/s41558-024-02011-4</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib113"><label>113</label><mixed-citation>
       Noël, B., Van Kampenhout, L., Lenaerts, J. T. M., Van De Berg, W. J., and Van Den Broeke, M. R.: A 21st Century Warming Threshold for Sustained Greenland Ice Sheet Mass Loss, Geophys. Res. Lett., 48, <a href="https://doi.org/10.1029/2020gl090471" target="_blank">https://doi.org/10.1029/2020gl090471</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib114"><label>114</label><mixed-citation>
       Notz, D. and SIMIP Community: Arctic Sea Ice in CMIP6, Geophys. Res. Lett., 47,  <a href="https://doi.org/10.1029/2019gl086749" target="_blank">https://doi.org/10.1029/2019gl086749</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib115"><label>115</label><mixed-citation>
       O'Neill, B. C., Tebaldi, C., van Vuuren, D. P., Eyring, V., Friedlingstein, P., Hurtt, G., Knutti, R., Kriegler, E., Lamarque, J.-F., Lowe, J., Meehl, G. A., Moss, R., Riahi, K., and Sanderson, B. M.: The Scenario Model Intercomparison Project (ScenarioMIP) for CMIP6, Geosci. Model Dev., 9, 3461–3482, <a href="https://doi.org/10.5194/gmd-9-3461-2016" target="_blank">https://doi.org/10.5194/gmd-9-3461-2016</a>, 2016. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib116"><label>116</label><mixed-citation>
       Parry, I. M., Ritchie, P. D. L., and Cox, P. M.: Evidence of localised Amazon rainforest dieback in CMIP6 models, Earth Syst. Dynam., 13, 1667–1675, <a href="https://doi.org/10.5194/esd-13-1667-2022" target="_blank">https://doi.org/10.5194/esd-13-1667-2022</a>, 2022. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib117"><label>117</label><mixed-citation>
       Pattyn, F., Ritz, C., Hanna, E., Asay-Davis, X., DeConto, R., Durand, G., Favier, L., Fettweis, X., Goelzer, H., Golledge, N. R., Kuipers Munneke, P., Lenaerts, J. T. M., Nowicki, S., Payne, A. J., Robinson, A., Seroussi, H., Trusel, L. D., and Van Den Broeke, M.: The Greenland and Antarctic ice sheets under 1.5&thinsp;°C global warming, Nat. Clim. Change, 8, 1053–1061, <a href="https://doi.org/10.1038/s41558-018-0305-8" target="_blank">https://doi.org/10.1038/s41558-018-0305-8</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib118"><label>118</label><mixed-citation>
       Portmann, V., Chavent, M., and Swingedouw, D.: <i>ClimLoco1.0</i>: CLimate variable confidence Interval of Multivariate Linear Observational COnstraint, Geosci. Model Dev., 18, 9015–9038, <a href="https://doi.org/10.5194/gmd-18-9015-2025" target="_blank">https://doi.org/10.5194/gmd-18-9015-2025</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib119"><label>119</label><mixed-citation>
       Quaas, J., Jia, H., Smith, C., Albright, A. L., Aas, W., Bellouin, N., Boucher, O., Doutriaux-Boucher, M., Forster, P. M., Grosvenor, D., Jenkins, S., Klimont, Z., Loeb, N. G., Ma, X., Naik, V., Paulot, F., Stier, P., Wild, M., Myhre, G., and Schulz, M.: Robust evidence for reversal of the trend in aerosol effective climate forcing, Atmos. Chem. Phys., 22, 12221–12239, <a href="https://doi.org/10.5194/acp-22-12221-2022" target="_blank">https://doi.org/10.5194/acp-22-12221-2022</a>, 2022. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib120"><label>120</label><mixed-citation>
       Rahmstorf, S.: Is the Atlantic Overturning Circulation Approaching a Tipping Point?, Oceanog,  <a href="https://doi.org/10.5670/oceanog.2024.501" target="_blank">https://doi.org/10.5670/oceanog.2024.501</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib121"><label>121</label><mixed-citation>
       Randerson, J. T., Lindsay, K., Munoz, E., Fu, W., Moore, J. K., Hoffman, F. M., Mahowald, N. M., and Doney, S. C.: Multicentury changes in ocean and land contributions to the climate-carbon feedback, Global Biogeochem. Cy., 29, 744–759,  <a href="https://doi.org/10.1002/2014gb005079" target="_blank">https://doi.org/10.1002/2014gb005079</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib122"><label>122</label><mixed-citation>
       Raupach, M. R., Gloor, M., Sarmiento, J. L., Canadell, J. G., Frölicher, T. L., Gasser, T., Houghton, R. A., Le Quéré, C., and Trudinger, C. M.: The declining uptake rate of atmospheric CO<sub>2</sub> by land and ocean sinks, Biogeosciences, 11, 3453–3475, <a href="https://doi.org/10.5194/bg-11-3453-2014" target="_blank">https://doi.org/10.5194/bg-11-3453-2014</a>, 2014. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib123"><label>123</label><mixed-citation>
       Reese, R., Garbe, J., Hill, E. A., Urruty, B., Naughten, K. A., Gagliardini, O., Durand, G., Gillet-Chaulet, F., Gudmundsson, G. H., Chandler, D., Langebroek, P. M., and Winkelmann, R.: The stability of present-day Antarctic grounding lines – Part 2: Onset of irreversible retreat of Amundsen Sea glaciers under current climate on centennial timescales cannot be excluded, The Cryosphere, 17, 3761–3783, <a href="https://doi.org/10.5194/tc-17-3761-2023" target="_blank">https://doi.org/10.5194/tc-17-3761-2023</a>, 2023. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib124"><label>124</label><mixed-citation>
       Reisinger, A., Fuglestvedt, J. S., Pirani, A., Geden, O., Jones, C. D., Maharaj, S., Poloczanska, E. S., Morelli, A., Johansen, T. G., Adler, C., Betts, R. A., and Seneviratne, S. I.: Overshoot: A Conceptual Review of Exceeding and Returning to Global Warming of 1.5&thinsp;°C, Annu. Rev. Env. Res., 50, 185–217, <a href="https://doi.org/10.1146/annurev-environ-111523-102029" target="_blank">https://doi.org/10.1146/annurev-environ-111523-102029</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib125"><label>125</label><mixed-citation>
       Ritchie, P. D. L., Smith, G. S., Davis, K. J., Fezzi, C., Halleck-Vega, S., Harper, A. B., Boulton, C. A., Binner, A. R., Day, B. H., Gallego-Sala, A. V., Mecking, J. V., Sitch, S. A., Lenton, T. M., and Bateman, I. J.: Shifts in national land use and food production in Great Britain after a climate tipping point, Nat. Food, 1, 76–83,  <a href="https://doi.org/10.1038/s43016-019-0011-3" target="_blank">https://doi.org/10.1038/s43016-019-0011-3</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib126"><label>126</label><mixed-citation>
       Ritchie, P. D. L., Clarke, J. J., Cox, P. M., and Huntingford, C.: Overshooting tipping point thresholds in a changing climate, Nature, 592, 517–523,  <a href="https://doi.org/10.1038/s41586-021-03263-2" target="_blank">https://doi.org/10.1038/s41586-021-03263-2</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib127"><label>127</label><mixed-citation>
       Ritchie, P. D. L., Alkhayuon, H., Cox, P. M., and Wieczorek, S.: Rate-induced tipping in natural and human systems, Earth Syst. Dynam., 14, 669–683, <a href="https://doi.org/10.5194/esd-14-669-2023" target="_blank">https://doi.org/10.5194/esd-14-669-2023</a>, 2023. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib128"><label>128</label><mixed-citation>
       Ritchie, P. D. L., Huntingford, C., and Cox, P.: ESD Ideas: Climate tipping is not instantaneous – the duration of an overshoot matters, Earth Syst. Dynam., 16, 1523-1526, <a href="https://doi.org/10.5194/esd-16-1523-2025" target="_blank">https://doi.org/10.5194/esd-16-1523-2025</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib129"><label>129</label><mixed-citation>
       Ritchie, P. D. L., Steinert, N. J., Abrams, J. F., Alkhayuon, H., Arnscheidt, C. W., Bochow, N., Chapman, R. R., Clarke, J., Dennis, D. P., Donges, J. F., Flores, B. M., Garbe, J., Högner, A., Huntingford, C., Lenton, T. M., Lohmann, J., Lux-Gottschalk, K., Milkoreit, M., Möller, T., Pearce-Kelly, P., Pereira, L., Quinn, C., Schleussner, C.-F., Stuenzi, S. M., Swingedouw, D., Van Der Laan, L. N., Zickfeld, K., and Wunderling, N.: The implications of overshooting 1.5&thinsp;°C on Earth system tipping elements – a review, Environ. Res. Lett., 21, 043001, <a href="https://doi.org/10.1088/1748-9326/ae3cad" target="_blank">https://doi.org/10.1088/1748-9326/ae3cad</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib130"><label>130</label><mixed-citation>
       Robinson, A., Calov, R., and Ganopolski, A.: Multistability and critical thresholds of the Greenland ice sheet, Nat. Clim. Change, 2, 429–432,  <a href="https://doi.org/10.1038/nclimate1449" target="_blank">https://doi.org/10.1038/nclimate1449</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib131"><label>131</label><mixed-citation>
       Robson, J., Menary, M. B., Sutton, R. T., Mecking, J., Gregory, J. M., Jones, C., Sinha, B., Stevens, D. P., and Wilcox, L. J.: The Role of Anthropogenic Aerosol Forcing in the 1850–1985 Strengthening of the AMOC in CMIP6 Historical Simulations, J. Climate, 35, 3243–3263,  <a href="https://doi.org/10.1175/jcli-d-22-0124.1" target="_blank">https://doi.org/10.1175/jcli-d-22-0124.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib132"><label>132</label><mixed-citation>
       Romanou, A., Rind, D., Jonas, J., Miller, R., Kelley, M., Russell, G., Orbe, C., Nazarenko, L., Latto, R., and Schmidt, G. A.: Stochastic Bifurcation of the North Atlantic Circulation under a Midrange Future Climate Scenario with the NASA-GISS ModelE, J. Climate, 36, 6141–6161,  <a href="https://doi.org/10.1175/jcli-d-22-0536.1" target="_blank">https://doi.org/10.1175/jcli-d-22-0536.1</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib133"><label>133</label><mixed-citation>
       Romanou, A., Hegerl, G. C., Seneviratne, S. I., Abis, B., Bastos, A., Conversi, A., Landolfi, A., Kim, H., Lerner, P. E., Mekus, J., Otto-Bliesner, B. L., Pausata, F. S. R., Pinto, I., and Suarez-Guiterrez, L.: Extreme Events Contributing to Tipping Elements and Tipping Points, Surv. Geophys., 46, 375–420,  <a href="https://doi.org/10.1007/s10712-024-09863-7" target="_blank">https://doi.org/10.1007/s10712-024-09863-7</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib134"><label>134</label><mixed-citation>
       Rooth, C.: Hydrology and ocean circulation, Prog. Oceanogr., 11, 131–149,  <a href="https://doi.org/10.1016/0079-6611(82)90006-4" target="_blank">https://doi.org/10.1016/0079-6611(82)90006-4</a>, 1982.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib135"><label>135</label><mixed-citation>
       Rugenstein, M., Bloch-Johnson, J., Gregory, J., Andrews, T., Mauritsen, T., Li, C., Frölicher, T. L., Paynter, D., Danabasoglu, G., Yang, S., Dufresne, J., Cao, L., Schmidt, G. A., Abe-Ouchi, A., Geoffroy, O., and Knutti, R.: Equilibrium Climate Sensitivity Estimated by Equilibrating Climate Models, Geophys. Res. Lett., 47, <a href="https://doi.org/10.1029/2019gl083898" target="_blank">https://doi.org/10.1029/2019gl083898</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib136"><label>136</label><mixed-citation>
       Sanderson, B. M., Brovkin, V., Fisher, R., Hohn, D., Ilyina, T., Jones, C., Koenigk, T., Koven, C., Li, H., Lawrence, D., Lawrence, P., Liddicoat, S., Macdougall, A., Mengis, N., Nicholls, Z., O'Rourke, E., Romanou, A., Sandstad, M., Schwinger, J., Seferian, R., Sentman, L., Simpson, I., Smith, C., Steinert, N., Swann, A., Tjiputra, J., and Ziehn, T.: flat10MIP: An emissions-driven experiment to diagnose the climate response to positive, zero, and negative CO<sub>2</sub> emissions, Geosci. Model Dev., 18, 5699–5724, <a href="https://doi.org/10.5194/gmd-18-5699-2025" target="_blank">https://doi.org/10.5194/gmd-18-5699-2025</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib137"><label>137</label><mixed-citation>
       Santana-Falcón, Y., Yamamoto, A., Lenton, A., Jones, C. D., Burger, F. A., John, J. G., Tjiputra, J., Schwinger, J., Kawamiya, M., Frölicher, T. L., Ziehn, T., and Séférian, R.: Irreversible loss in marine ecosystem habitability after a temperature overshoot, Commun. Earth Environ., 4, <a href="https://doi.org/10.1038/s43247-023-01002-1" target="_blank">https://doi.org/10.1038/s43247-023-01002-1</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib138"><label>138</label><mixed-citation>
       Scheffer, M., Carpenter, S. R., Dakos, V., and Van Nes, E. H.: Generic Indicators of Ecological Resilience: Inferring the Chance of a Critical Transition, Annu. Rev. Ecol. Evol. S., 46, 145–167,  <a href="https://doi.org/10.1146/annurev-ecolsys-112414-054242" target="_blank">https://doi.org/10.1146/annurev-ecolsys-112414-054242</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib139"><label>139</label><mixed-citation>
       Schleussner, C.-F., Ganti, G., Lejeune, Q., Zhu, B., Pfleiderer, P., Prütz, R., Ciais, P., Frölicher, T. L., Fuss, S., Gasser, T., Gidden, M. J., Kropf, C. M., Lacroix, F., Lamboll, R., Martyr, R., Maussion, F., McCaughey, J. W., Meinshausen, M., Mengel, M., Nicholls, Z., Quilcaille, Y., Sanderson, B., Seneviratne, S. I., Sillmann, J., Smith, C. J., Steinert, N. J., Theokritoff, E., Warren, R., Price, J., and Rogelj, J.: Overconfidence in climate overshoot, Nature, 634, 366–373, <a href="https://doi.org/10.1038/s41586-024-08020-9" target="_blank">https://doi.org/10.1038/s41586-024-08020-9</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib140"><label>140</label><mixed-citation>
       Schwinger, J. and Tjiputra, J.: Ocean Carbon Cycle Feedbacks Under Negative Emissions, Geophys. Res. Lett., 45, 5062–5070,  <a href="https://doi.org/10.1029/2018gl077790" target="_blank">https://doi.org/10.1029/2018gl077790</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib141"><label>141</label><mixed-citation>
       Sgubin, G., Swingedouw, D., Drijfhout, S., Mary, Y., and Bennabi, A.: Abrupt cooling over the North Atlantic in modern climate models, Nat. Commun., 8,  <a href="https://doi.org/10.1038/ncomms14375" target="_blank">https://doi.org/10.1038/ncomms14375</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib142"><label>142</label><mixed-citation>
       Sgubin, G., Swingedouw, D., García De Cortázar-Atauri, I., Ollat, N., and Van Leeuwen, C.: The Impact of Possible Decadal-Scale Cold Waves on Viticulture over Europe in a Context of Global Warming, Agronomy, 9, 397, <a href="https://doi.org/10.3390/agronomy9070397" target="_blank">https://doi.org/10.3390/agronomy9070397</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib143"><label>143</label><mixed-citation>
       Silvy, Y., Frölicher, T. L., Terhaar, J., Joos, F., Burger, F. A., Lacroix, F., Allen, M., Bernardello, R., Bopp, L., Brovkin, V., Buzan, J. R., Cadule, P., Dix, M., Dunne, J., Friedlingstein, P., Georgievski, G., Hajima, T., Jenkins, S., Kawamiya, M., Kiang, N. Y., Lapin, V., Lee, D., Lerner, P., Mengis, N., Monteiro, E. A., Paynter, D., Peters, G. P., Romanou, A., Schwinger, J., Sparrow, S., Stofferahn, E., Tjiputra, J., Tourigny, E., and Ziehn, T.: AERA-MIP: emission pathways, remaining budgets, and carbon cycle dynamics compatible with 1.5 and 2&thinsp;°C global warming stabilization, Earth Syst. Dynam., 15, 1591–1628, <a href="https://doi.org/10.5194/esd-15-1591-2024" target="_blank">https://doi.org/10.5194/esd-15-1591-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib144"><label>144</label><mixed-citation>
       Smith, C. J. and Forster, P. M.: Suppressed Late-20th Century Warming in CMIP6 Models Explained by Forcing and Feedbacks, Geophys. Res. Lett., 48,  <a href="https://doi.org/10.1029/2021gl094948" target="_blank">https://doi.org/10.1029/2021gl094948</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib145"><label>145</label><mixed-citation>
       Solomon, S.: The discovery of the Antarctic ozone hole, Nature, 575, 46–47,  <a href="https://doi.org/10.1038/d41586-019-02837-5" target="_blank">https://doi.org/10.1038/d41586-019-02837-5</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib146"><label>146</label><mixed-citation>
       Soultan, A., Pavón-Jordán, D., Bradter, U., Sandercock, B. K., Hochachka, W. M., Johnston, A., Brommer, J., Gaget, E., Keller, V., Knaus, P., Aghababyan, K., Maxhuni, Q., Vintchevski, A., Nagy, K., Raudonikis, L., Balmer, D., Noble, D., Leitão, D., Øien, I. J., Shimmings, P., Sultanov, E., Caffrey, B., Boyla, K., Radišić, D., Lindström, Å., Velevski, M., Pladevall, C., Brotons, L., Karel, Š., Rajković, D. Z., Chodkiewicz, T., Wilk, T., Szép, T., Van Turnhout, C., Foppen, R., Burfield, I., Vikstrøm, T., Mazal, V. D., Eaton, M., Vorisek, P., Lehikoinen, A., Herrando, S., Kuzmenko, T., Bauer, H.-G., Kalyakin, M. V., Voltzit, O. V., Sjeničić, J., and Pärt, T.: The future distribution of wetland birds breeding in Europe validated against observed changes in distribution, Environ. Res. Lett., 17, 024025, <a href="https://doi.org/10.1088/1748-9326/ac4ebe" target="_blank">https://doi.org/10.1088/1748-9326/ac4ebe</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib147"><label>147</label><mixed-citation>
       Staal, A., Fetzer, I., Wang-Erlandsson, L., Bosmans, J. H. C., Dekker, S. C., Van Nes, E. H., Rockström, J., and Tuinenburg, O. A.: Hysteresis of tropical forests in the 21st century, Nat. Commun., 11, <a href="https://doi.org/10.1038/s41467-020-18728-7" target="_blank">https://doi.org/10.1038/s41467-020-18728-7</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib148"><label>148</label><mixed-citation>
       Stocker, T. F. and Schmittner, A.: Influence of CO2 emission rates on the stability of the thermohaline circulation, Nature, 388, 862–865,  <a href="https://doi.org/10.1038/42224" target="_blank">https://doi.org/10.1038/42224</a>, 1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib149"><label>149</label><mixed-citation>
       Stommel, H.: Thermohaline Convection with Two Stable Regimes of Flow, Tellus, 13, 224–230,  <a href="https://doi.org/10.1111/j.2153-3490.1961.tb00079.x" target="_blank">https://doi.org/10.1111/j.2153-3490.1961.tb00079.x</a>, 1961.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib150"><label>150</label><mixed-citation>
       Swaminathan, R., Parker, R. J., Jones, C. G., Allan, R. P., Quaife, T., Kelley, D. I., de Mora, L., and Walton, J.: The Physical Climate at Global Warming Thresholds as Seen in the U.K. Earth System Model, J. Climate, 35, 29–48,  <a href="https://doi.org/10.1175/JCLI-D-21-0234.1" target="_blank">https://doi.org/10.1175/JCLI-D-21-0234.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib151"><label>151</label><mixed-citation>
       Swingedouw, D., Braconnot, P., Delecluse, P., Guilyardi, E., and Marti, O.: Quantifying the AMOC feedbacks during a 2 × CO<sub>2</sub> stabilization experiment with land-ice melting, Clim. Dynam., 29, 521–534, <a href="https://doi.org/10.1007/s00382-007-0250-0" target="_blank">https://doi.org/10.1007/s00382-007-0250-0</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib152"><label>152</label><mixed-citation>
       Swingedouw, D., Ifejika Speranza, C., Bartsch, A., Durand, G., Jamet, C., Beaugrand, G., and Conversi, A.: Early Warning from Space for a Few Key Tipping Points in Physical, Biological, and Social-Ecological Systems, Surv. Geophys., 41, 1237–1284,  <a href="https://doi.org/10.1007/s10712-020-09604-6" target="_blank">https://doi.org/10.1007/s10712-020-09604-6</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib153"><label>153</label><mixed-citation>
       Swingedouw, D., Bily, A., Esquerdo, C., Borchert, L. F., Sgubin, G., Mignot, J., and Menary, M.: On the risk of abrupt changes in the North Atlantic subpolar gyre in CMIP6 models, Ann. NY Acad. Sci., 1504, 187–201,  <a href="https://doi.org/10.1111/nyas.14659" target="_blank">https://doi.org/10.1111/nyas.14659</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib154"><label>154</label><mixed-citation>
       Tamarin-Brodsky, T., Hodges, K., Hoskins, B. J., and Shepherd, T. G.: Changes in Northern Hemisphere temperature variability shaped by regional warming patterns, Nat. Geosci., 13, 414–421,  <a href="https://doi.org/10.1038/s41561-020-0576-3" target="_blank">https://doi.org/10.1038/s41561-020-0576-3</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib155"><label>155</label><mixed-citation>
       Taylor, P. C., Boeke, R. C., Boisvert, L. N., Feldl, N., Henry, M., Huang, Y., Langen, P. L., Liu, W., Pithan, F., Sejas, S. A., and Tan, I.: Process Drivers, Inter-Model Spread, and the Path Forward: A Review of Amplified Arctic Warming, Front. Earth Sci., 9,  <a href="https://doi.org/10.3389/feart.2021.758361" target="_blank">https://doi.org/10.3389/feart.2021.758361</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib156"><label>156</label><mixed-citation>
       Tebaldi, C., Ranasinghe, R., Vousdoukas, M., Rasmussen, D. J., Vega-Westhoff, B., Kirezci, E., Kopp, R. E., Sriver, R., and Mentaschi, L.: Extreme sea levels at different global warming levels, Nat. Clim. Change, 11, 746–751,  <a href="https://doi.org/10.1038/s41558-021-01127-1" target="_blank">https://doi.org/10.1038/s41558-021-01127-1</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib157"><label>157</label><mixed-citation>
       Terhaar, J., Frölicher, T. L., Aschwanden, M. T., Friedlingstein, P., and Joos, F.: Adaptive emission reduction approach to reach any global warming target, Nat. Clim. Change, 12, 1136–1142, <a href="https://doi.org/10.1038/s41558-022-01537-9" target="_blank">https://doi.org/10.1038/s41558-022-01537-9</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib158"><label>158</label><mixed-citation>
       Tokarska, K. B. and Zickfeld, K.: The effectiveness of net negative carbon dioxide emissions in reversing anthropogenic climate change, Environ. Res. Lett., 10, 094013,  <a href="https://doi.org/10.1088/1748-9326/10/9/094013" target="_blank">https://doi.org/10.1088/1748-9326/10/9/094013</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib159"><label>159</label><mixed-citation>
       Turetsky, M. R., Abbott, B. W., Jones, M. C., Anthony, K. W., Olefeldt, D., Schuur, E. A. G., Grosse, G., Kuhry, P., Hugelius, G., Koven, C., Lawrence, D. M., Gibson, C., Sannel, A. B. K., and McGuire, A. D.: Carbon release through abrupt permafrost thaw, Nat. Geosci., 13, 138–143,  <a href="https://doi.org/10.1038/s41561-019-0526-0" target="_blank">https://doi.org/10.1038/s41561-019-0526-0</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib160"><label>160</label><mixed-citation>
       Ureta, C., Ramírez-Barahona, S., Calderón-Bustamante, Ó., Cruz-Santiago, P., Gay-García, C., Swingedouw, D., Defrance, D., and Cuervo-Robayo, A. P.: Evaluation of animal and plant diversity suggests Greenland's thaw hastens the biodiversity crisis, Commun. Biol., 5, <a href="https://doi.org/10.1038/s42003-022-03943-3" target="_blank">https://doi.org/10.1038/s42003-022-03943-3</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib161"><label>161</label><mixed-citation>
       Vaittinada Ayar, P., Bopp, L., Christian, J. R., Ilyina, T., Krasting, J. P., Séférian, R., Tsujino, H., Watanabe, M., Yool, A., and Tjiputra, J.: Contrasting projections of the ENSO-driven CO<sub>2</sub> flux variability in the equatorial Pacific under high-warming scenario, Earth Syst. Dynam., 13, 1097–1118, <a href="https://doi.org/10.5194/esd-13-1097-2022" target="_blank">https://doi.org/10.5194/esd-13-1097-2022</a>, 2022. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib162"><label>162</label><mixed-citation>
       Valdes, P.: Built for stability, Nat. Geosci., 4, 414–416,  <a href="https://doi.org/10.1038/ngeo1200" target="_blank">https://doi.org/10.1038/ngeo1200</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib163"><label>163</label><mixed-citation>
       Van Breedam, J., Goelzer, H., and Huybrechts, P.: Semi-equilibrated global sea-level change projections for the next 10&thinsp;000 years, Earth Syst. Dynam., 11, 953–976, <a href="https://doi.org/10.5194/esd-11-953-2020" target="_blank">https://doi.org/10.5194/esd-11-953-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib164"><label>164</label><mixed-citation>
       Van Nes, E. H., Arani, B. M. S., Staal, A., Van Der Bolt, B., Flores, B. M., Bathiany, S., and Scheffer, M.: What Do You Mean, “Tipping Point”?, Trends Ecol. Evol., 31, 902–904, <a href="https://doi.org/10.1016/j.tree.2016.09.011" target="_blank">https://doi.org/10.1016/j.tree.2016.09.011</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib165"><label>165</label><mixed-citation>
       van Vuuren, D., O'Neill, B., Tebaldi, C., Chini, L., Friedlingstein, P., Hasegawa, T., Riahi, K., Sanderson, B., Govindasamy, B., Bauer, N., Eyring, V., Fall, C., Frieler, K., Gidden, M., Gohar, L., Jones, A., King, A., Knutti, R., Kriegler, E., Lawrence, P., Lennard, C., Lowe, J., Mathison, C., Mehmood, S., Prado, L., Zhang, Q., Rose, S., Ruane, A., Schleussner, C.-F., Seferian, R., Sillmann, J., Smith, C., Sörensson, A., Panickal, S., Tachiiri, K., Vaughan, N., Vishwanathan, S., Yokohata, T., and Ziehn, T.: The Scenario Model Intercomparison Project for CMIP7 (ScenarioMIP-CMIP7), Geosci. Model Dev., 19, 2627–2656, <a href="https://doi.org/10.5194/gmd-19-2627-2026" target="_blank">https://doi.org/10.5194/gmd-19-2627-2026</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib166"><label>166</label><mixed-citation>
       van Westen, R. M., Kliphuis, M., and Dijkstra, H. A.: Physics-based early warning signal shows that AMOC is on tipping course, Sci. Adv., 10,  <a href="https://doi.org/10.1126/sciadv.adk1189" target="_blank">https://doi.org/10.1126/sciadv.adk1189</a>, 2024a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib167"><label>167</label><mixed-citation>
       van Westen, R. M., Vanderborght, E. Y. P., Kliphuis, M., and Dijkstra, H. A.: Substantial Risk of 21st Century AMOC Tipping even under Moderate Climate Change, arXiv [preprint],  <a href="https://doi.org/10.48550/ARXIV.2407.19909" target="_blank">https://doi.org/10.48550/ARXIV.2407.19909</a>, 2024b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib168"><label>168</label><mixed-citation>
       Vasilakopoulos, P., Raitsos, D. E., Tzanatos, E., and Maravelias, C. D.: Resilience and regime shifts in a marine biodiversity hotspot, Sci. Rep.-UK, 7,  <a href="https://doi.org/10.1038/s41598-017-13852-9" target="_blank">https://doi.org/10.1038/s41598-017-13852-9</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib169"><label>169</label><mixed-citation>
       WCRP Registered MIPs:  <a href="https://wcrp-cmip.org/mips/#registered-mips" target="_blank"/>, last access: 9 February 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib170"><label>170</label><mixed-citation>
       Wehrli, K., Luo, F., Hauser, M., Shiogama, H., Tokuda, D., Kim, H., Coumou, D., May, W., Le Sager, P., Selten, F., Martius, O., Vautard, R., and Seneviratne, S. I.: The ExtremeX global climate model experiment: investigating thermodynamic and dynamic processes contributing to weather and climate extremes, Earth Syst. Dynam., 13, 1167–1196, <a href="https://doi.org/10.5194/esd-13-1167-2022" target="_blank">https://doi.org/10.5194/esd-13-1167-2022</a>, 2022. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib171"><label>171</label><mixed-citation>
       Wei, M., Li, S., Zhu, L., Lu, X., Li, H., and Feng, J.: Continuous Abrupt Vegetation Shifts in the Global Terrestrial Ecosystem, Ecol. Lett., 28,  <a href="https://doi.org/10.1111/ele.70069" target="_blank">https://doi.org/10.1111/ele.70069</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib172"><label>172</label><mixed-citation>
       Weijer, W., Cheng, W., Garuba, O. A., Hu, A., and Nadiga, B. T.: CMIP6 Models Predict Significant 21st Century Decline of the Atlantic Meridional Overturning Circulation, Geophys. Res. Lett., 47,  <a href="https://doi.org/10.1029/2019gl086075" target="_blank">https://doi.org/10.1029/2019gl086075</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib173"><label>173</label><mixed-citation>
       Wilcox, L. J., Allen, R. J., Samset, B. H., Bollasina, M. A., Griffiths, P. T., Keeble, J., Lund, M. T., Makkonen, R., Merikanto, J., O'Donnell, D., Paynter, D. J., Persad, G. G., Rumbold, S. T., Takemura, T., Tsigaridis, K., Undorf, S., and Westervelt, D. M.: The Regional Aerosol Model Intercomparison Project (RAMIP), Geosci. Model Dev., 16, 4451–4479, <a href="https://doi.org/10.5194/gmd-16-4451-2023" target="_blank">https://doi.org/10.5194/gmd-16-4451-2023</a>, 2023. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib174"><label>174</label><mixed-citation>
       Williams, A. S. and Igel, A. L.: Cloud Top Radiative Cooling Rate Drives Non-Precipitating Stratiform Cloud Responses to Aerosol Concentration, Geophys. Res. Lett., 48,  <a href="https://doi.org/10.1029/2021gl094740" target="_blank">https://doi.org/10.1029/2021gl094740</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib175"><label>175</label><mixed-citation>
       Williams, R. G., Goodwin, P., Ceppi, P., Jones, C. D., and MacDougall, A.: A normalised framework for the Zero Emissions Commitment, Biogeosciences, 22, 7167–7186, <a href="https://doi.org/10.5194/bg-22-7167-2025" target="_blank">https://doi.org/10.5194/bg-22-7167-2025</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib176"><label>176</label><mixed-citation>
       Winkelmann, R., Dennis, D. P., Donges, J. F., Loriani, S., Klose, A. K., Abrams, J. F., Alvarez-Solas, J., Albrecht, T., Armstrong McKay, D., Bathiany, S., Blasco Navarro, J., Brovkin, V., Burke, E., Danabasoglu, G., Donner, R. V., Drüke, M., Georgievski, G., Goelzer, H., Harper, A. B., Hegerl, G., Hirota, M., Hu, A., Jackson, L. C., Jones, C., Kim, H., Koenigk, T., Lawrence, P., Lenton, T. M., Liddy, H., Licón-Saláiz, J., Menthon, M., Montoya, M., Nitzbon, J., Nowicki, S., Otto-Bliesner, B., Pausata, F., Rahmstorf, S., Ramin, K., Robinson, A., Rockström, J., Romanou, A., Sakschewski, B., Schädel, C., Sherwood, S., Smith, R. S., Steinert, N. J., Swingedouw, D., Willeit, M., Weijer, W., Wood, R., Wyser, K., and Yang, S.: The Tipping Points Modelling Intercomparison Project (TIPMIP): Assessing tipping point risks in the Earth system, EGUsphere [preprint], <a href="https://doi.org/10.5194/egusphere-2025-1899" target="_blank">https://doi.org/10.5194/egusphere-2025-1899</a>, 2025. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib177"><label>177</label><mixed-citation>
       Wunderling, N., Staal, A., Sakschewski, B., Hirota, M., Tuinenburg, O. A., Donges, J. F., Barbosa, H. M. J., and Winkelmann, R.: Recurrent droughts increase risk of cascading tipping events by outpacing adaptive capacities in the Amazon rainforest, P. Natl. Acad. Sci. USA, 119,  <a href="https://doi.org/10.1073/pnas.2120777119" target="_blank">https://doi.org/10.1073/pnas.2120777119</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib178"><label>178</label><mixed-citation>
       Wunderling, N., von der Heydt, A. S., Aksenov, Y., Barker, S., Bastiaansen, R., Brovkin, V., Brunetti, M., Couplet, V., Kleinen, T., Lear, C. H., Lohmann, J., Roman-Cuesta, R. M., Sinet, S., Swingedouw, D., Winkelmann, R., Anand, P., Barichivich, J., Bathiany, S., Baudena, M., Bruun, J. T., Chiessi, C. M., Coxall, H. K., Docquier, D., Donges, J. F., Falkena, S. K. J., Klose, A. K., Obura, D., Rocha, J., Rynders, S., Steinert, N. J., and Willeit, M.: Climate tipping point interactions and cascades: a review, Earth Syst. Dynam., 15, 41–74, <a href="https://doi.org/10.5194/esd-15-41-2024" target="_blank">https://doi.org/10.5194/esd-15-41-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib179"><label>179</label><mixed-citation>
       Yuan, T., Song, H., Kramer, R., Oreopoulos, L., Raghuraman, S. P., Wood, R., and Chin, M.: Aerosol effective radiative forcing increases Earth’s energy imbalance in recent decades, Nat. Commun., <a href="https://doi.org/10.1038/s41467-026-72926-3" target="_blank">https://doi.org/10.1038/s41467-026-72926-3</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib180"><label>180</label><mixed-citation>
      
Zickfeld, K. and Herrington, T.: The time lag between a carbon dioxide emission and maximum warming increases with 105 the size of the emission, Environ. Res. Lett., 10, 031001, <a href="https://doi.org/10.1088/1748-9326/10/3/031001" target="_blank">https://doi.org/10.1088/1748-9326/10/3/031001</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib181"><label>181</label><mixed-citation>
       Zickfeld, K., Azevedo, D., Mathesius, S., and Matthews, H. D.: Asymmetry in the climate–carbon cycle response to positive and negative CO<sub>2</sub> emissions, Nat. Clim. Change, 11, 613–617,  <a href="https://doi.org/10.1038/s41558-021-01061-2" target="_blank">https://doi.org/10.1038/s41558-021-01061-2</a>, 2021.

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