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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ESSDD</journal-id>
<journal-title-group>
<journal-title>Earth System Science Data Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">ESSDD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data Discuss.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1866-3591</issn>
<publisher><publisher-name></publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/essd-2025-825</article-id>
<title-group>
<article-title>How well can we quantify when 1.5 &amp;deg;C of global warming has been exceeded?</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Thorne</surname>
<given-names>Peter W.</given-names>
<ext-link>https://orcid.org/0000-0003-0485-9798</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Nicklas</surname>
<given-names>John M.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kennedy</surname>
<given-names>John J.</given-names>
<ext-link>https://orcid.org/0000-0002-6841-7289</ext-link>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Calvert</surname>
<given-names>Bruce</given-names>
<ext-link>https://orcid.org/0000-0002-1124-9632</ext-link>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fox-Kemper</surname>
<given-names>Baylor</given-names>
<ext-link>https://orcid.org/0000-0002-2871-2048</ext-link>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Richardson</surname>
<given-names>Mark T.</given-names>
<ext-link>https://orcid.org/0000-0001-7063-631X</ext-link>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Simmons</surname>
<given-names>Adrian</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hawkins</surname>
<given-names>Ed</given-names>
<ext-link>https://orcid.org/0000-0001-9477-3677</ext-link>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Rhode</surname>
<given-names>Robert</given-names>
<ext-link>https://orcid.org/0000-0002-0408-3005</ext-link>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Cowtan</surname>
<given-names>Kathryn</given-names>
<ext-link>https://orcid.org/0000-0002-0189-1437</ext-link>
</name>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Abram</surname>
<given-names>Nerilie J.</given-names>
<ext-link>https://orcid.org/0000-0003-1246-2344</ext-link>
</name>
<xref ref-type="aff" rid="aff10">
<sup>10</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Andersson</surname>
<given-names>Axel</given-names>
</name>
<xref ref-type="aff" rid="aff11">
<sup>11</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Noone</surname>
<given-names>Simon</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Marbaix</surname>
<given-names>Phillipe</given-names>
<ext-link>https://orcid.org/0000-0003-0495-4306</ext-link>
</name>
<xref ref-type="aff" rid="aff12">
<sup>12</sup>
</xref>
<xref ref-type="aff" rid="aff55">
<sup>55</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lenssen</surname>
<given-names>Nathan</given-names>
<ext-link>https://orcid.org/0000-0002-6601-4187</ext-link>
</name>
<xref ref-type="aff" rid="aff13">
<sup>13</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Olonscheck</surname>
<given-names>Dirk</given-names>
<ext-link>https://orcid.org/0000-0002-8962-1406</ext-link>
</name>
<xref ref-type="aff" rid="aff14">
<sup>14</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Walsh</surname>
<given-names>Tristram</given-names>
<ext-link>https://orcid.org/0000-0002-5227-9432</ext-link>
</name>
<xref ref-type="aff" rid="aff15">
<sup>15</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Outten</surname>
<given-names>Stephen</given-names>
<ext-link>https://orcid.org/0000-0002-4883-611X</ext-link>
</name>
<xref ref-type="aff" rid="aff16">
<sup>16</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Bethke</surname>
<given-names>Ingo</given-names>
<ext-link>https://orcid.org/0000-0002-6836-9838</ext-link>
</name>
<xref ref-type="aff" rid="aff17">
<sup>17</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Samset</surname>
<given-names>Bjorn H.</given-names>
<ext-link>https://orcid.org/0000-0001-8013-1833</ext-link>
</name>
<xref ref-type="aff" rid="aff18">
<sup>18</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Smith</surname>
<given-names>Chris</given-names>
<ext-link>https://orcid.org/0000-0003-0599-4633</ext-link>
</name>
<xref ref-type="aff" rid="aff19">
<sup>19</sup>
</xref>
<xref ref-type="aff" rid="aff57">
<sup>57</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Pirani</surname>
<given-names>Anna</given-names>
<ext-link>https://orcid.org/0000-0001-7287-8347</ext-link>
</name>
<xref ref-type="aff" rid="aff20">
<sup>20</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fuglestvedt</surname>
<given-names>Jan</given-names>
<ext-link>https://orcid.org/0000-0001-6140-8374</ext-link>
</name>
<xref ref-type="aff" rid="aff18">
<sup>18</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Rajamani</surname>
<given-names>Lavanya</given-names>
</name>
<xref ref-type="aff" rid="aff21">
<sup>21</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Betts</surname>
<given-names>Richard A.</given-names>
<ext-link>https://orcid.org/0000-0002-4929-0307</ext-link>
</name>
<xref ref-type="aff" rid="aff22">
<sup>22</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kent</surname>
<given-names>Elizabeth C.</given-names>
<ext-link>https://orcid.org/0000-0002-6209-4247</ext-link>
</name>
<xref ref-type="aff" rid="aff23">
<sup>23</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Trewin</surname>
<given-names>Blair</given-names>
</name>
<xref ref-type="aff" rid="aff24">
<sup>24</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Morice</surname>
<given-names>Colin</given-names>
<ext-link>https://orcid.org/0000-0002-5656-1021</ext-link>
</name>
<xref ref-type="aff" rid="aff22">
<sup>22</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Osborn</surname>
<given-names>Tim</given-names>
<ext-link>https://orcid.org/0000-0001-8425-6799</ext-link>
</name>
<xref ref-type="aff" rid="aff25">
<sup>25</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Burgess</surname>
<given-names>Samantha N.</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Geden</surname>
<given-names>Oliver</given-names>
</name>
<xref ref-type="aff" rid="aff26">
<sup>26</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Parnell</surname>
<given-names>Andrew</given-names>
<ext-link>https://orcid.org/0000-0001-7956-7939</ext-link>
</name>
<xref ref-type="aff" rid="aff27">
<sup>27</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Forster</surname>
<given-names>Piers M.</given-names>
<ext-link>https://orcid.org/0000-0002-6078-0171</ext-link>
</name>
<xref ref-type="aff" rid="aff28">
<sup>28</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hewitt</surname>
<given-names>Chris</given-names>
</name>
<xref ref-type="aff" rid="aff23">
<sup>23</sup>
</xref>
<xref ref-type="aff" rid="aff29">
<sup>29</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hausfather</surname>
<given-names>Zeke</given-names>
</name>
<xref ref-type="aff" rid="aff30">
<sup>30</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Masson-Delmotte</surname>
<given-names>Valerie</given-names>
<ext-link>https://orcid.org/0000-0001-8296-381X</ext-link>
</name>
<xref ref-type="aff" rid="aff31">
<sup>31</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Marotzke</surname>
<given-names>Jochem</given-names>
<ext-link>https://orcid.org/0000-0001-9857-9900</ext-link>
</name>
<xref ref-type="aff" rid="aff14">
<sup>14</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Gillett</surname>
<given-names>Nathan</given-names>
<ext-link>https://orcid.org/0000-0002-2957-0002</ext-link>
</name>
<xref ref-type="aff" rid="aff32">
<sup>32</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Seneviratne</surname>
<given-names>Sonia I.</given-names>
<ext-link>https://orcid.org/0000-0001-9528-2917</ext-link>
</name>
<xref ref-type="aff" rid="aff33">
<sup>33</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Schmidt</surname>
<given-names>Gavin A.</given-names>
<ext-link>https://orcid.org/0000-0002-2258-0486</ext-link>
</name>
<xref ref-type="aff" rid="aff34">
<sup>34</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Chan</surname>
<given-names>Duo</given-names>
</name>
<xref ref-type="aff" rid="aff35">
<sup>35</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Brönnimann</surname>
<given-names>Stefan</given-names>
</name>
<xref ref-type="aff" rid="aff36">
<sup>36</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Reisinger</surname>
<given-names>Andy</given-names>
<ext-link>https://orcid.org/0000-0002-6631-7188</ext-link>
</name>
<xref ref-type="aff" rid="aff37">
<sup>37</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Menne</surname>
<given-names>Matthew</given-names>
</name>
<xref ref-type="aff" rid="aff38">
<sup>38</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Rojas Corradi</surname>
<given-names>Maisa</given-names>
</name>
<xref ref-type="aff" rid="aff39">
<sup>39</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kadow</surname>
<given-names>Christopher</given-names>
<ext-link>https://orcid.org/0000-0001-6537-3690</ext-link>
</name>
<xref ref-type="aff" rid="aff40">
<sup>40</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Huybers</surname>
<given-names>Peter</given-names>
</name>
<xref ref-type="aff" rid="aff41">
<sup>41</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Stephenson</surname>
<given-names>David B.</given-names>
</name>
<xref ref-type="aff" rid="aff42">
<sup>42</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Wallis</surname>
<given-names>Emily</given-names>
<ext-link>https://orcid.org/0000-0002-2475-0899</ext-link>
</name>
<xref ref-type="aff" rid="aff25">
<sup>25</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Rogelj</surname>
<given-names>Joeri</given-names>
<ext-link>https://orcid.org/0000-0003-2056-9061</ext-link>
</name>
<xref ref-type="aff" rid="aff43">
<sup>43</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Schurer</surname>
<given-names>Andrew</given-names>
<ext-link>https://orcid.org/0000-0002-9176-3622</ext-link>
</name>
<xref ref-type="aff" rid="aff44">
<sup>44</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>McKinnon</surname>
<given-names>Karen</given-names>
</name>
<xref ref-type="aff" rid="aff45">
<sup>45</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zhai</surname>
<given-names>Panmao</given-names>
</name>
<xref ref-type="aff" rid="aff46">
<sup>46</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Driouech</surname>
<given-names>Fatima</given-names>
</name>
<xref ref-type="aff" rid="aff47">
<sup>47</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Moufouma Okia</surname>
<given-names>Wilfran</given-names>
</name>
<xref ref-type="aff" rid="aff29">
<sup>29</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Vazifehkhah</surname>
<given-names>Saeed</given-names>
<ext-link>https://orcid.org/0000-0003-3700-9319</ext-link>
</name>
<xref ref-type="aff" rid="aff29">
<sup>29</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Szopa</surname>
<given-names>Sophie</given-names>
<ext-link>https://orcid.org/0000-0002-8641-1737</ext-link>
</name>
<xref ref-type="aff" rid="aff48">
<sup>48</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Merchant</surname>
<given-names>Christopher J.</given-names>
<ext-link>https://orcid.org/0000-0003-4687-9850</ext-link>
</name>
<xref ref-type="aff" rid="aff49">
<sup>49</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hirahara</surname>
<given-names>Shoji</given-names>
</name>
<xref ref-type="aff" rid="aff50">
<sup>50</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ishii</surname>
<given-names>Masayoshi</given-names>
</name>
<xref ref-type="aff" rid="aff50">
<sup>50</sup>
</xref>
<xref ref-type="aff" rid="aff58">
<sup>58</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Engelbrecht</surname>
<given-names>Francois A.</given-names>
<ext-link>https://orcid.org/0000-0002-9189-6556</ext-link>
</name>
<xref ref-type="aff" rid="aff51">
<sup>51</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Li</surname>
<given-names>Qingxiang</given-names>
<ext-link>https://orcid.org/0000-0002-1424-4108</ext-link>
</name>
<xref ref-type="aff" rid="aff52">
<sup>52</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lee</surname>
<given-names>June-Yi</given-names>
<ext-link>https://orcid.org/0000-0002-3986-9753</ext-link>
</name>
<xref ref-type="aff" rid="aff53">
<sup>53</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Cannon</surname>
<given-names>Alex J.</given-names>
</name>
<xref ref-type="aff" rid="aff54">
<sup>54</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Cassou</surname>
<given-names>Christophe</given-names>
<ext-link>https://orcid.org/0000-0002-5164-1612</ext-link>
</name>
<xref ref-type="aff" rid="aff56">
<sup>56</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>von Schuckmann</surname>
<given-names>Karina</given-names>
</name>
<xref ref-type="aff" rid="aff59">
<sup>59</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Delju</surname>
<given-names>Amir H.</given-names>
</name>
<xref ref-type="aff" rid="aff29">
<sup>29</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Murtagh</surname>
<given-names>Ellie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>ICARUS Climate Research Centre, Maynooth University, Maynooth, Co. Kildare, Ireland</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Department of Earth, Environmental, and Planetary Sciences, Brown University, Providence, RI, USA</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Independent researcher, France</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Independent Researcher, Ottawa, Canada</addr-line>
</aff>
<aff id="aff5">
<label>5</label>
<addr-line>Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA</addr-line>
</aff>
<aff id="aff6">
<label>6</label>
<addr-line>European Centre for Medium-Range Weather Forecasts, Reading, UK</addr-line>
</aff>
<aff id="aff7">
<label>7</label>
<addr-line>National Centre for Atmospheric Science, Department of Meteorology, University of Reading, Reading, UK</addr-line>
</aff>
<aff id="aff8">
<label>8</label>
<addr-line>Berkeley Earth, Berkeley, CA, USA</addr-line>
</aff>
<aff id="aff9">
<label>9</label>
<addr-line>Department of Chemistry, University of York, York, UK</addr-line>
</aff>
<aff id="aff10">
<label>10</label>
<addr-line>ARC Centre of Excellence for the Weather of the 21st Century, Research School of Earth Sciences, The Australian National University, Canberra ACT 2601, Australia</addr-line>
</aff>
<aff id="aff11">
<label>11</label>
<addr-line>German Meteorological Service, Hamburg, Germany</addr-line>
</aff>
<aff id="aff12">
<label>12</label>
<addr-line>Division of Thermodynamics and Fluid Dynamics, Université catholique de Louvain, Louvain-la-Neuve, Belgium</addr-line>
</aff>
<aff id="aff13">
<label>13</label>
<addr-line>Colorado School of Mines, Golden Colorado, USA &amp; NSF National Center for Atmospheric Research, Boulder, Colorado, USA</addr-line>
</aff>
<aff id="aff14">
<label>14</label>
<addr-line>Max Planck Institute for Meteorology, Hamburg, Germany</addr-line>
</aff>
<aff id="aff15">
<label>15</label>
<addr-line>Environmental Change Institute, University of Oxford, Oxford, UK</addr-line>
</aff>
<aff id="aff16">
<label>16</label>
<addr-line>Nansen Environmental and Remote Sensing Center, Bjerknes Centre for Climate Research, Bergen, Norway</addr-line>
</aff>
<aff id="aff17">
<label>17</label>
<addr-line>University of Bergen, Bjerknes Centre for Climate Research, Bergen, Norway</addr-line>
</aff>
<aff id="aff18">
<label>18</label>
<addr-line>CICERO Center for International Climate Research, Oslo, Norway</addr-line>
</aff>
<aff id="aff19">
<label>19</label>
<addr-line>Department of Water and Climate, Vrije Universiteit Brussel, Brussels, Belgium</addr-line>
</aff>
<aff id="aff20">
<label>20</label>
<addr-line>Euro-Mediterranean Centre on Climate Change (CMCC Foundation), Venice, Italy</addr-line>
</aff>
<aff id="aff21">
<label>21</label>
<addr-line>Faculty of Law, University of Oxford</addr-line>
</aff>
<aff id="aff22">
<label>22</label>
<addr-line>Met Office Hadley Centre, Fitzroy Road, Exeter, UK</addr-line>
</aff>
<aff id="aff23">
<label>23</label>
<addr-line>National Oceanography Centre, Southampton, UK</addr-line>
</aff>
<aff id="aff24">
<label>24</label>
<addr-line>Bureau of Meteorology, Melbourne, Australia</addr-line>
</aff>
<aff id="aff25">
<label>25</label>
<addr-line>Climatic Research Unit, School of Environmental Sciences, University of East Anglia, Norwich, UK</addr-line>
</aff>
<aff id="aff26">
<label>26</label>
<addr-line>German Institute for International and Security Affairs, Berlin, Germany</addr-line>
</aff>
<aff id="aff27">
<label>27</label>
<addr-line>School of Mathematics and Statistics, University College Dublin, Dublin, Ireland</addr-line>
</aff>
<aff id="aff28">
<label>28</label>
<addr-line>Priestley Centre for Climate Futures, University of Leeds, Leeds, UK</addr-line>
</aff>
<aff id="aff29">
<label>29</label>
<addr-line>WMO Secretariat, World Meteorological Organization, Geneva, Switzerland</addr-line>
</aff>
<aff id="aff30">
<label>30</label>
<addr-line>Stripe Inc., South San Francisco, CA, USA and Berkeley Earth, Berkeley, CA, USA</addr-line>
</aff>
<aff id="aff31">
<label>31</label>
<addr-line>Laboratoire des Sciences du Climat et de l’Environnement (UMR 8212 CEA-CNRS-UVSQ), Institut Pierre Simon Laplace, Université Paris-Saclay, France</addr-line>
</aff>
<aff id="aff32">
<label>32</label>
<addr-line>Canadian Centre for Climate Modelling and Analysis, Environment and Climate Change Canada, Victoria, BC, Canada</addr-line>
</aff>
<aff id="aff33">
<label>33</label>
<addr-line>Institute for Atmospheric and Climate Science, ETH Zurich, Zurich, Switzerland</addr-line>
</aff>
<aff id="aff34">
<label>34</label>
<addr-line>NASA Goddard Institute for Space Studies, New York, NY, USA</addr-line>
</aff>
<aff id="aff35">
<label>35</label>
<addr-line>School of Ocean and Earth Science, University of Southampton, UK</addr-line>
</aff>
<aff id="aff36">
<label>36</label>
<addr-line>Institute of Geography and Oeschger Centre for Climate Change Research, University of Bern, Switzerland</addr-line>
</aff>
<aff id="aff37">
<label>37</label>
<addr-line>Institute for Climate, Energy and Disaster Solutions, Australian National University, Acton ACT, Australia</addr-line>
</aff>
<aff id="aff38">
<label>38</label>
<addr-line>NOAA’s National Centers for Environmental Information, 151 Patton Avenue, Asheville, NC, USA</addr-line>
</aff>
<aff id="aff39">
<label>39</label>
<addr-line>Department of Geophysics, Faculty of Engineering, University of Chile, Santiago, Chile</addr-line>
</aff>
<aff id="aff40">
<label>40</label>
<addr-line>German Climate Computing Center (DKRZ), Hamburg, Germany</addr-line>
</aff>
<aff id="aff41">
<label>41</label>
<addr-line>Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA, USA</addr-line>
</aff>
<aff id="aff42">
<label>42</label>
<addr-line>Department of Mathematics and Statistics, University of Exeter, Exeter, UK</addr-line>
</aff>
<aff id="aff43">
<label>43</label>
<addr-line>Grantham Institute - Climate Change and the Environment, and Centre for Environmental Policy, Imperial College, London, UK</addr-line>
</aff>
<aff id="aff44">
<label>44</label>
<addr-line>School of GeoSciences, University of Edinburgh, UK</addr-line>
</aff>
<aff id="aff45">
<label>45</label>
<addr-line>Department of Statistics and Data Science, Department of Atmospheric and Oceanic Sciences, Institute of the Environment and Sustainability, University of California, Los Angeles</addr-line>
</aff>
<aff id="aff46">
<label>46</label>
<addr-line>State Key Laboratory of Severe Weather Meteorological Science and technology, Chinese Academy of Meteorological Sciences, Beijing, China</addr-line>
</aff>
<aff id="aff47">
<label>47</label>
<addr-line>University Mohammed VI Polytechnic, Ben Guerir, Morocco</addr-line>
</aff>
<aff id="aff48">
<label>48</label>
<addr-line>Laboratoire des Sciences du Climat et de l’Environnement (UMR 8212 CEA-CNRS-UVSQ), Institut Pierre Simon Laplace, Université Paris-Saclay, France</addr-line>
</aff>
<aff id="aff49">
<label>49</label>
<addr-line>National Centre for Earth Observation, University of Reading, Reading, UK</addr-line>
</aff>
<aff id="aff50">
<label>50</label>
<addr-line>Meteorological Research Institute, Tsukuba, Japan</addr-line>
</aff>
<aff id="aff51">
<label>51</label>
<addr-line>Global Change Institute, University of the Witwatersrand, Johannesburg, South Africa</addr-line>
</aff>
<aff id="aff52">
<label>52</label>
<addr-line>Sun Yat-Sen University, Guangzhou/Zhuhai, China</addr-line>
</aff>
<aff id="aff53">
<label>53</label>
<addr-line>Research Center for Climate Sciences, Pusan National University and Center for Climate Physics, Institute for Basic Science, Busan, Republic of Korea</addr-line>
</aff>
<aff id="aff54">
<label>54</label>
<addr-line>Climate Research Division, Environment and Climate Change Canada, Victoria, BC, Canada</addr-line>
</aff>
<aff id="aff55">
<label>55</label>
<addr-line>Department of Geography, University of Liège, Belgium</addr-line>
</aff>
<aff id="aff56">
<label>56</label>
<addr-line>LMD-IPSL, CNRS, Ecole Normale Superieure, PSL Research University, Paris, 75005, France</addr-line>
</aff>
<aff id="aff57">
<label>57</label>
<addr-line>IPSL, CNRS, Ecole Normale Superieure, PSL Research University, Paris, 75005, France 57 Energy, Climate and Environment Program, International Institute for Applied Systems Analysis, Laxenburg, Austria</addr-line>
</aff>
<aff id="aff58">
<label>58</label>
<addr-line>Geoenvironmental Sciences, University of Tsukuba, Tsukuba, Japan</addr-line>
</aff>
<aff id="aff59">
<label>59</label>
<addr-line>Mercator Ocean international, Toulouse, France</addr-line>
</aff>
<pub-date pub-type="epub">
<day>28</day>
<month>01</month>
<year>2026</year>
</pub-date>
<volume>2026</volume>
<fpage>1</fpage>
<lpage>121</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2026 Peter W. Thorne 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://essd.copernicus.org/preprints/essd-2025-825/">This article is available from https://essd.copernicus.org/preprints/essd-2025-825/</self-uri>
<self-uri xlink:href="https://essd.copernicus.org/preprints/essd-2025-825/essd-2025-825.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/preprints/essd-2025-825/essd-2025-825.pdf</self-uri>
<abstract>
<p>Parties to the 2015 Paris Agreement agreed to limit the long-term increase in global average temperature to well below 2 &amp;deg;C and pursue efforts to keep temperatures below 1.5 &amp;deg;C relative to pre-industrial levels. As the world is fast approaching the 1.5 &amp;deg;C warming level on a sustained basis, and with 2024 likely the first year that was over 1.5 &amp;deg;C warmer than 1850-1900, there is ever increasing interest in how we will know whether and when 1.5 &amp;deg;C warming since pre-industrial has been reached or exceeded with respect to a long-term average. This paper represents a comprehensive community methodological overview, building on the IPCC 6th assessment. It explains why there is no straightforward answer and proposes clear and reasoned ways forward. Existing challenges are as follows. Firstly, the Paris Agreement text contains definitional ambiguities around &apos;pre-industrial&apos;, &apos;global average temperature&apos;, whether the assessment should be on realised or long-term human-induced warming, and over what time frame the long-term temperature goal applies. Then, there are intrinsic limitations of observational records which get more uncertain further back in time due to data sparsity and measurement heterogeneity. Finally, in a non-stationary climate, multidecadal mean indicators of global temperature change will either lag behind the change or must rely on expected future temperature changes (based on extrapolation, initialized predictions, or scenario-based and constrained projections). Our analysis shows that knowing &apos;whether we are there yet&apos; is a multifaceted and inherently probabilistic problem that includes information on the definition of a specific level of global warming, temperature changes over multiple timescales, and also potentially includes unpacking the attribution of human-caused changes from observed variations. Given the policy relevance of understanding where the world stands relative to 1.5 &amp;deg;C, or any other level of global warming since pre-industrial, there are a number of practical steps which could be taken to increase specificity in answering this critical question in a timely manner, and inform future monitoring and assessment activities. This paper reviews a broad range of approaches, identifies the most pragmatic, robust and transparent, and clarifies requirements for use in real time including how to handle and represent remaining uncertainties. We show that it is possible by combining lines of evidence and several methodologies to estimate the present long-term warming level without delay in a manner that is robust both in retrospective validation of crossing past warming levels and, critically, to divergent warming futures including potential wildcard impacts of large volcanoes which can mask underlying warming for several years. Results are benchmarked against historical exceedances of 0.5 &amp;deg;C and 1 &amp;deg;C warming. Long-term warming as assessed using the approaches developed herein and data up to and including 2024 stands at 1.40 [1.23&amp;ndash;1.58] &amp;deg;C, and underlying human-caused warming stands at 1.34 [1.18&amp;ndash;1.50] &amp;deg;C. In IPCC quantified likelihood language this means that it was&lt;em&gt; unlikely&lt;/em&gt; that long-term realised warming had exceeded 1.5 &amp;deg;C by the end of 2024 and &lt;em&gt;very unlikely &lt;/em&gt;that human-induced warming had exceeded 1.5 &amp;deg;C.</p>
</abstract>
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