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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESD</journal-id><journal-title-group>
    <journal-title>Earth System Dynamics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Dynam.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2190-4987</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/esd-16-1523-2025</article-id><title-group><article-title>ESD Ideas: Climate tipping is not instantaneous –  the duration of an overshoot matters</article-title><alt-title>Climate tipping is not instantaneous – the duration of an overshoot matters</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Ritchie</surname><given-names>Paul D. L.</given-names></name>
          <email>paul.ritchie@exeter.ac.uk</email>
        <ext-link>https://orcid.org/0000-0002-7649-2991</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Huntingford</surname><given-names>Chris</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5941-7770</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Cox</surname><given-names>Peter M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0679-2219</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Mathematics and Statistics, Faculty of Environment, Science and Economy,  University of Exeter, North Park Road, Exeter, EX4 4QE, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Global Systems Institute, Faculty of Environment, Science and Economy, University of Exeter,   North Park Road, Exeter, EX4 4QE, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>UK Centre for Ecology and Hydrology, Wallingford, OX10 8BB, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Paul D. L. Ritchie (paul.ritchie@exeter.ac.uk)</corresp></author-notes><pub-date><day>15</day><month>September</month><year>2025</year></pub-date>
      
      <volume>16</volume>
      <issue>5</issue>
      <fpage>1523</fpage><lpage>1526</lpage>
      <history>
        <date date-type="received"><day>26</day><month>September</month><year>2024</year></date>
           <date date-type="rev-request"><day>15</day><month>October</month><year>2024</year></date>
           <date date-type="rev-recd"><day>16</day><month>June</month><year>2025</year></date>
           <date date-type="accepted"><day>27</day><month>June</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Paul D. L. Ritchie et al.</copyright-statement>
        <copyright-year>2025</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://esd.copernicus.org/articles/16/1523/2025/esd-16-1523-2025.html">This article is available from https://esd.copernicus.org/articles/16/1523/2025/esd-16-1523-2025.html</self-uri><self-uri xlink:href="https://esd.copernicus.org/articles/16/1523/2025/esd-16-1523-2025.pdf">The full text article is available as a PDF file from https://esd.copernicus.org/articles/16/1523/2025/esd-16-1523-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e118">Climate tipping points are not committed to occur automatically upon crossing critical thresholds in global warming, as is often assumed. Instead, it is possible to temporarily overshoot a threshold without causing tipping, provided the duration of the overshoot is short. In this Idea, we demonstrate that restricting the time over 1.5 °C  would considerably reduce tipping point risks.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Horizon 2020</funding-source>
<award-id>101137601</award-id>
<award-id>101081193</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      <p id="d2e123">The goal of the <xref ref-type="bibr" rid="bib1.bibx8" id="text.1"/> is to keep long-term global warming well below 2 °C, and, if possible, below 1.5 °C, relative to pre-industrial levels. Global warming has already exceeded the 1.5 °C threshold for a period of 12 months <xref ref-type="bibr" rid="bib1.bibx5" id="paren.2"/>. Maintaining long-term warming at 1.5 °C necessitates decarbonisation rates that are highly unlikely given the current progress <xref ref-type="bibr" rid="bib1.bibx3" id="paren.3"/>. Therefore, at the very least, eventual stabilisation at this threshold suggests that a temporary overshoot of the 1.5 °C level is becoming increasingly likely.</p>
      <p id="d2e135">Many elements of the climate system are vulnerable to large and abrupt changes, often referred to as tipping points <xref ref-type="bibr" rid="bib1.bibx6" id="paren.4"/>. Figure <xref ref-type="fig" rid="F1"/>a presents a probabilistic risk assessment for the number of elements of the climate system that could experience tipping at various levels of stabilised global warming. Note, however, that the impacts of tipping are very heterogeneous for different Earth system elements. An uncertainty range is determined from the estimated ranges of each element's warming threshold location, as provided in a recent assessment of climate tipping points <xref ref-type="bibr" rid="bib1.bibx1" id="paren.5"/>; see the Supplement <xref ref-type="bibr" rid="bib1.bibx11" id="paren.6"/> for more details. Even if warming could be stabilised at 1.5 °C without overshoot, the most likely scenarios indicate that between one and four elements may eventually tip (see Fig. <xref ref-type="fig" rid="F1"/>a). Stabilising warming at the upper limit of the <xref ref-type="bibr" rid="bib1.bibx8" id="text.7"/> (2 °C) raises the most probable range to between four and seven elements tipping. Current climate commitments are projected to result in global warming of 2.7 <inline-formula><mml:math id="M1" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 °C by the end of the century <xref ref-type="bibr" rid="bib1.bibx4" id="paren.8"/>. Stabilising at this warming level could broaden the range to between 7 and 10 elements tipping. However, under these commitments, warming would continue beyond 2100. If warming were only to stabilise near 4 °C, the range would shift to between 10 and 13 major Earth system elements tipping (Fig. <xref ref-type="fig" rid="F1"/>a). A lower bound of tipping thresholds above 4 °C only applies to the collapse of Arctic winter sea ice and the East Antarctic ice sheet.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e169">Tipping risk of different climate system elements for different overshoot profiles. Probabilistic number of elements of the climate system, binned by increments of 0.25 °C, that undergo tipping for temperature <bold>(a)</bold> stabilising and <bold>(b)</bold> exceeding 1.5 °C for 100 years for different levels of peak global warming. <bold>(c)</bold> 3D projection of the number of tipped elements based on the peak global warming and the time over 1.5 °C (on a logarithmic scale). Individual tipping elements are represented by colour and hatching and are colour-coded according to their tipping timescale, with the fastest-tipping elements in red and the slowest-tipping elements in blue. Uncertainty ranges given in panels <bold>(a)</bold> and <bold>(b)</bold> and represented by purple shading are calculated after an exponentially modified Gaussian distribution is fitted to each of the tipping timescales and threshold values given in <xref ref-type="bibr" rid="bib1.bibx1" id="text.9"/> by assuming that the lower, central, and upper estimates correspond to the 5 %, 50 %, and 95 % cumulative density levels, respectively. Panel <bold>(c)</bold> uses the central estimates only to display the individual tipping elements.</p></caption>
      <graphic xlink:href="https://esd.copernicus.org/articles/16/1523/2025/esd-16-1523-2025-f01.png"/>

    </fig>

      <p id="d2e201">However, system inertia means that tipping is not committed once the tipping threshold is crossed, as is often implicitly assumed (e.g. <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.10"/>). In the media, it is often incorrectly implied that tipping is instantaneous upon crossing the threshold (e.g. <italic>The Guardian</italic> article: “World on brink of five `disastrous' climate tipping points”, September 2022). Instead, tipping can still be avoided if the exceedance of a threshold has a short duration compared to the characteristic timescale of the tipping element. Previously, <xref ref-type="bibr" rid="bib1.bibx9" id="text.11"/> showed that tipping point risk depends on both the threshold temperature, represented by a fold bifurcation, and the timescale of the tipping element. In general, tipping elements with slow timescales allow overshoots that avoid tipping, whereas fast-tipping elements leave very little margin for overshoot without tipping <xref ref-type="bibr" rid="bib1.bibx10" id="paren.12"/>. Given that the recent comprehensive study of <xref ref-type="bibr" rid="bib1.bibx1" id="text.13"/> provides estimates of both timescales and critical warming thresholds for a broad set of Earth system components, we can now combine the analyses of <xref ref-type="bibr" rid="bib1.bibx1" id="text.14"/> and <xref ref-type="bibr" rid="bib1.bibx10" id="text.15"/> to show the dependence of tipping point risks on both peak global warming and the duration of exceedance of 1.5 °C. The Supplement <xref ref-type="bibr" rid="bib1.bibx11" id="paren.16"/> details how the theory has been advanced to accommodate both the tipping timescale and the exceedance of a predefined temperature (here, 1.5 °C) using a simple conceptual model modified from <xref ref-type="bibr" rid="bib1.bibx15" id="text.17"/>. The theory assumes a symmetric overshoot profile; however, as shown previously, more realistic, asymmetric profiles have also provided good agreement with the theory <xref ref-type="bibr" rid="bib1.bibx10" id="paren.18"/>.</p>
      <p id="d2e235">Panel (b) of Fig. <xref ref-type="fig" rid="F1"/> is of identical format to panel (a), except that now warming only remains above 1.5 °C for 100 years. Comparing panel (b) to panel (a) shows a notable difference, with the number of elements that could undergo tipping considerably reduced. If global warming peaked at 2 °C but the time over 1.5 °C was limited to 100 years, the likely range of elements to tip would drop to between two and four elements, compared with four to seven if warming stabilised at 2 °C. An overshoot of 100 years that reaches a peak warming of 3 °C would have the most likely result of 4 elements tipping, which compares to a range of 8 to 11 if the warming instead stabilised at its peak.</p>
      <p id="d2e240">Panel (c) provides the 3D picture of the individual elements that tip (now using the best estimates for thresholds and timescales given in <xref ref-type="bibr" rid="bib1.bibx1" id="altparen.19"/>) for overshoot profiles characterised by both peak warming and time over 1.5 °C (panel animation using the best estimates provided as the Supplement). Without the uncertainties, panels (a) and (b) would be cross sections of panel (c), namely the left-hand “back wall” and the second visible row from the front right, respectively. Panel (c) demonstrates that fast-tipping elements (red blocks) would only avoid tipping if the overshoot duration were short (only decades over 1.5 °C), combined with a small peak overshoot (notably, the coral reefs and subpolar gyre are the most susceptible to tipping). For example, if the duration of exceedance of 1.5 °C is less than 30 years and the peak warming is less than 2.5 °C, it may be possible to avoid all the tipping elements considered here (shown by the incomplete red bar at the front of panel c). In contrast, the slowest-tipping elements (blue blocks) are not committed to tip  until the time over 1.5 °C approaches 1000 years, despite these elements possessing some of the lowest warming thresholds. Specifically, the Greenland ice sheet is found not to tip until the overshoot duration is greater than 10 000 years, which agrees well with simulations from two state-of-the-art numerical models <xref ref-type="bibr" rid="bib1.bibx2" id="paren.20"/>. The accumulation of tipped elements in the back corner of panel (c) is because this is where both peak warming and time over 1.5 °C are large. It is important to highlight that not all of these overshoot profiles would be plausible, even with carbon dioxide removal technologies, and particularly the front-right corner. Specifically, considerations such as technical, economic, and sustainability can limit the scales required at which carbon dioxide must be removed for such overshoots to be possible <xref ref-type="bibr" rid="bib1.bibx14" id="paren.21"/>.  Moving away from this front-right corner and towards the back-left corner coincides with increasing the feasibility of the overshoot profiles. However, assessing the limits of feasibility is outside the scope of this study.</p>
      <p id="d2e252">In this study, we also do not consider the possibility that tipping elements can interact <xref ref-type="bibr" rid="bib1.bibx16" id="paren.22"/>. However, some of the tipping thresholds provided in the <xref ref-type="bibr" rid="bib1.bibx1" id="text.23"/> study are likely to account for some of these interactions. Furthermore, the threshold values of some tipping elements may have been determined from transient climate simulations rather than corresponding to equilibrium values as assumed here, which would bias the results. We assume that the thresholds can be represented by a fold bifurcation, but this might not always be true, which could lead to further uncertainty. Other factors to consider are the applicability of global warming as a forcing for all tipping elements and sensitivities to initial conditions <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx13" id="paren.24"/>.</p>
      <p id="d2e264">Our study challenges the frequent assumption that the commitment to tip occurs as soon as a critical threshold is crossed. Instead, the number of elements that would undergo tipping is severely reduced if the duration of exceedance of the Paris 1.5 °C can be kept below a century. Furthermore, this analysis suggests that the tipping of all elements considered here could be avoided if global warming over 1.5 °C is restricted to 30 years and peak warming is kept below 2.5 °C.</p>

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

      <p id="d2e270">The code used to generate Fig. 1 can be found in Ritchie et al. (2025, <ext-link xlink:href="https://doi.org/10.5281/zenodo.17047632" ext-link-type="DOI">10.5281/zenodo.17047632</ext-link>, last access: 3 September 2025).</p>
  </notes><notes notes-type="videosupplement"><title>Video supplement</title>

      <p id="d2e280">The animation of Fig. 1c is provided in Ritchie et al. (2025, <ext-link xlink:href="https://doi.org/10.5281/zenodo.17047632" ext-link-type="DOI">10.5281/zenodo.17047632</ext-link>, last access: 3 September 2025).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e286">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/esd-16-1523-2025-supplement" xlink:title="">https://doi.org/10.5194/esd-16-1523-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e295">PDLR and CH designed and directed the Idea. PDLR, CH, and PMC helped to shape the Idea and drafted the paper. PDLR performed the analysis and created the animation.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e301">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e307">The views and opinions expressed are those of the authors only and do not necessarily reflect those of the European Union or the European Climate, Infrastructure and Environment Executive Agency (CINEA). Neither the European Union nor the granting authority can be held responsible for them. Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e313">Chris Huntingford acknowledges the Natural Environment Research Council National Capability Fund awarded to the UK Centre for Ecology and Hydrology.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e318">Paul D. L. Ritchie and Peter M. Cox were supported by the Optimal High Resolution Earth System Models for Exploring Future Climate Change (OptimESM) project, grant no. 101081193, and by ClimTip. This is ClimTip contribution no. 43; the ClimTip project received funding from the European Union’s Horizon Europe research and innovation programme under grant no. 101137601, funded by the European Union. Peter M. Cox and Chris Huntingford were supported by the PREDICT project, which received funding from the European Space Agency (ESA) under contract no. 4000146344/24/I-LR. Paul D. L. Ritchie, Peter M. Cox, and Chris Huntingford acknowledge support from the UK Advanced Research and Invention Agency (ARIA) via project “AdvanTip”, grant no. SCOP-PR01-P003.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e324">This paper was edited by Axel Kleidon and reviewed by three anonymous referees.</p>
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