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  <front>
    <journal-meta><journal-id journal-id-type="publisher">CP</journal-id><journal-title-group>
    <journal-title>Climate of the Past</journal-title>
    <abbrev-journal-title abbrev-type="publisher">CP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Clim. Past</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1814-9332</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/cp-22-729-2026</article-id><title-group><article-title>A model intercomparison of radiocarbon-based marine reservoir ages during the last 55 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> including abrupt changes in the Atlantic Meridional Overturning Circulation</article-title><alt-title>MRA-MIP over last 55 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> including abrupt AMOC changes</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Köhler</surname><given-names>Peter</given-names></name>
          <email>peter.koehler@awi.de</email>
        <ext-link>https://orcid.org/0000-0003-0904-8484</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Menviel</surname><given-names>Laurie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5068-1591</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Pöppelmeier</surname><given-names>Frerk</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4050-2550</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Heaton</surname><given-names>Timothy J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Bard</surname><given-names>Edouard</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Skinner</surname><given-names>Luke C.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Alfred-Wegener-Institut Helmholtz-Zentrum für Polar- und Meeresforschung,  P.O. Box 120161, 27515 Bremerhaven, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Climate Change Research Centre, Australian Centre for Excellence in Antarctic Science,   University of New South Wales, Sydney, NSW, Australia</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Climate and Environmental Physics, Physics Institute and Oeschger Centre for Climate Change Research,   University of Bern, Bern, Switzerland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Statistics, School of Mathematics, University of Leeds, Leeds, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>CEREGE, Aix-Marseille University, CNRS, IRD, INRAE, Collège de France, Technopole de l’Arbois BP 80,   Aix en Provence CEDEX 4, France</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Godwin Laboratory for Palaeoclimate Research, Earth Sciences Department, University of Cambridge,   Downing Street, CB2 3EQ Cambridge, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Peter Köhler (peter.koehler@awi.de)</corresp></author-notes><pub-date><day>10</day><month>April</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>4</issue>
      <fpage>729</fpage><lpage>746</lpage>
      <history>
        <date date-type="received"><day>16</day><month>October</month><year>2025</year></date>
           <date date-type="rev-request"><day>24</day><month>October</month><year>2025</year></date>
           <date date-type="rev-recd"><day>9</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>24</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Peter Köhler 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://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026.html">This article is available from https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e186">Changes in the marine reservoir age (MRA) of the  surface ocean are important information used for radiocarbon dating of marine sediment cores or archaeological artifacts. MRA changes are expressed relative to the atmosphere, and as such are dependent on the prevailing atmospheric  radiocarbon calibration curve. The most recent estimate for evolving global average MRA for latitudes approximately <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> is incorporated into the marine calibration curve Marine20. This curve was directly calculated from the atmospheric <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> record, IntCal20, using the carbon cycle box model BICYCLE, taking into account  observed changes in the carbon cycle. These simulations did not consider changes in the strength of the Atlantic meridional overturning circulation (AMOC) related to Dansgaard/Oeschger and Heinrich events. A recent study using the successor BICYCLE-SE suggested that abrupt AMOC changes would lead to changes in MRA of less than 100 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> in the non-polar surface ocean (about <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>). To better support previous model-based MRA and to further constrain the impact of AMOC changes on MRA, we here assess transient simulations of the last 55 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> performed by two Earth System Models of Intermediate Complexity (EMICs), LOVECLIM and Bern3D, and compare them to the published BICYCLE-SE box model results  and previous output from the Large Scale Geostrophic (LSG) ocean general circulation model (OGCM). The setups within this MRA model intercomparison (MRA-MIP) are not identical, but all models are forced by atmospheric <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> and <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to have the surface ocean carbon cycle state as close as possible to reconstructions. Simulations with abrupt AMOC reductions during stadials display a rise in  MRA in the surface northern Atlantic (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N) and the deep Atlantic, for example reaching 300–1250 and 500–1300 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, during Heinrich stadial 1. We find that the changes in the mean non-polar surface MRA (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> latitude) during abrupt AMOC changes in LOVECLIM are also in the order of <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>, while in Bern3D simulated changes are up to <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>. While the models tend to agree that a reduced AMOC leads to lower MRA by about 100–300 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> in the low-latitude surface ocean, under some conditions the opposite is found (e.g. simulations with LOVECLIM across Heinrich stadial 1). Spatially resolved results of the models show that changes in surface MRA during stadials depict the general pattern of a radiocarbon bipolar seesaw (older surface water in the high north, younger in the high south and in the Indo-Pacific),  in agreement with previously published reconstructions. However, some model-dependent differences remain in the non-polar Atlantic. Throughout the last 50 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula>, the change in the multi-model mean in non-polar MRA of the two EMICs when compared with Marine20 is less than 100 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> and within the uncertainties of  Marine20. Furthermore, changes in the MRA of the high latitude Southern Ocean (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> S) are extremely model-dependent and, for much of the period between 18 and 43 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the changes in the multi-model mean MRA are larger than the  95 % confidence interval of the non-polar MRA depicted in Marine20. These differences make the construction of a numerical model-based calibration curve for the high latitude Southern Ocean challenging.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Australian Research Council</funding-source>
<award-id>SR200100008</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Agence Nationale de la Recherche</funding-source>
<award-id>MARACA</award-id>
</award-group>
<award-group id="gs3">
<funding-source>HORIZON EUROPE Global Challenges and European Industrial Competitiveness</funding-source>
<award-id>101137601 (ClimTip)</award-id>
<award-id>101184070 (Past-To-Future)</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Natural Environment Research Council</funding-source>
<award-id>NE/V011464/1</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="d2e491">Radiocarbon (<inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), with a half-life of about 5700 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>, is an ideal tool for determining the age of  carbonaceous materials and tracing components of the global carbon cycle over the last <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">55</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx18" id="paren.1"/>. However, the amount of <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in all reservoirs is not constant over time, but varies due to a changing carbon cycle and  geomagnetic and solar effects on the <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> production rates in the upper atmosphere <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx30" id="paren.2"><named-content content-type="pre">e.g.</named-content></xref>. Therefore, radiocarbon dating needs to rely on calibration curves, that take these temporal changes into consideration.</p>
      <p id="d2e568">Within the last iteration of these calibration curves  the carbon cycle box model BICYCLE <xref ref-type="bibr" rid="bib1.bibx28" id="paren.3"/> has been used to calculate <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the ocean. For that effort the model has been forced by changes in atmospheric <inline-formula><mml:math id="M40" 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> (Fig. <xref ref-type="fig" rid="F1"/>a) as seen in ice cores <xref ref-type="bibr" rid="bib1.bibx29" id="paren.4"/> and by changes in atmospheric <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F1"/>b) as compiled within IntCal20 <xref ref-type="bibr" rid="bib1.bibx54" id="paren.5"/>. From <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in both the atmosphere and the surface ocean the marine reservoir age (MRA) of the non-polar surface ocean, also called the Marine20 calibration curve <xref ref-type="bibr" rid="bib1.bibx20" id="paren.6"/>, has been constructed  (Fig. <xref ref-type="fig" rid="F1"/>c). In general, the MRA is a measure for the level of the oceanic <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> depletion with respect to the contemporaneous atmosphere, which is dependent on time, geographic location, and when addressing not only the ocean surface, also on the water depth. Here, BICYCLE was applied  using a Monte-Carlo approach with 500 repetitions to account for uncertainties in data and the prescribed parametrization of the air–sea gas exchange velocity and the strength of the Atlantic meridional overturning circulation (AMOC), the two processes identified to be most important for simulated surface ocean <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. So far, this approach ignored changes in the AMOC linked to the millennial-scale variability of Dansgaard/Oeschger and Heinrich events  <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx42" id="paren.7"/>, and thus climatic shifts observed in ice core records and marine sediment cores  <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx13" id="paren.8"><named-content content-type="pre">e.g.</named-content></xref> (Fig. <xref ref-type="fig" rid="F1"/>d) were not included. However, considering abrupt AMOC changes in models can produce anomalies in radiocarbon age of the non-polar surface ocean of the order of <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>  <xref ref-type="bibr" rid="bib1.bibx31" id="paren.9"/>. Although this is within the <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> uncertainty of Marine20, reconstructions of past MRA variability demonstrate the occurrence of larger changes across the last deglaciation in association with millennial-scale climate anomalies <xref ref-type="bibr" rid="bib1.bibx61" id="paren.10"/>. Taken together, this points to not yet fully considered errors in obtained simulations and larger uncertainties in marine radiocarbon calibrations around abrupt changes in AMOC strength.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e725">Relevant time series across the last 55 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula>. <bold>(a)</bold> Atmospheric <inline-formula><mml:math id="M50" 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> spline based on multi-records <xref ref-type="bibr" rid="bib1.bibx29" id="paren.11"/> as used by the models. <bold>(b)</bold> Atmospheric <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> from IntCal20 <xref ref-type="bibr" rid="bib1.bibx54" id="paren.12"/> and (red points) an added extension from new kauri-based data around 42 kyr BP <xref ref-type="bibr" rid="bib1.bibx12" id="paren.13"/>. <bold>(c)</bold> Non-polar marine reservoir age (MRA) Marine20 <xref ref-type="bibr" rid="bib1.bibx20" id="paren.14"/>. For <inline-formula><mml:math id="M52" 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>, IntCal20 and Marine20 the mean values and the 95 % CI are plotted. Vertical bands mark Heinrich events (blue) or non-Heinrich stadials (pink) defined by <bold>(d)</bold> Iberian Margin SST (mean of UK37' and RI-OH' SST records) <xref ref-type="bibr" rid="bib1.bibx13" id="paren.15"/>. Heinrich events and the Younger Dryas (YD) and Greenland stadials <xref ref-type="bibr" rid="bib1.bibx52" id="paren.16"><named-content content-type="pre">GS,</named-content></xref> with their numbers are labelled on the top ignoring GS 2.1b and 2.1c which fall into the LGM.</p></caption>
        <graphic xlink:href="https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026-f01.png"/>

      </fig>

      <p id="d2e812">To further explore the features and robustness of Marine20 – and its potential model-dependency – we here compare changes in surface ocean MRA, mainly in the non-polar areas (50<inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> S to 50<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N), over the last 55 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> as simulated in a box model and two Earth system models of intermediate complexity (EMICs). We rely on initial results of BICYCLE-SE <xref ref-type="bibr" rid="bib1.bibx31" id="paren.17"/> and add outputs from more complex EMICs, as they are fast enough to transiently simulate the last 55 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> in a reasonable amount of time. To this end we use the outputs from LOVECLIM <xref ref-type="bibr" rid="bib1.bibx39" id="paren.18"/> and Bern3D <xref ref-type="bibr" rid="bib1.bibx51" id="paren.19"/>. We also add some results of the available outputs from the Large Scale Geostrophic (LSG) ocean general circulation model (OGCM) without abrupt AMOC changes, that have already been used within Marine20 <xref ref-type="bibr" rid="bib1.bibx11" id="paren.20"/>. These LSG OGCM runs are transiently forced with variable atmospheric carbon records (<inline-formula><mml:math id="M57" 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="M58" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), but all else was kept constant. While the focus is on the non-polar areas, here defined as about <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> latitude roughly corresponding to the areal extend of the surface ocean boxes in BICYCLE since this is what is covered by Marine20 so far, we also present and discuss MRA changes in the surface polar oceans.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
      <p id="d2e910">This is a “come-as-you-are” model intercomparison project on MRA (MRA-MIP) implying that model setups have not been homogenised, but different groups, which have simulations of the last 55 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> readily available (or easily produced), have been asked to provide their calculated surface ocean MRA. Such a call offers the possibility of contributions from more groups, but, also contains inter-model offsets that are based on the differences in the setup.</p>
      <p id="d2e921">All models have been run with prescribed atmospheric carbon records, namely ice core <inline-formula><mml:math id="M62" 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> <xref ref-type="bibr" rid="bib1.bibx29" id="paren.21"/>  (Fig. <xref ref-type="fig" rid="F1"/>a) and IntCal20-based <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx54" id="paren.22"/>  (Fig. <xref ref-type="fig" rid="F1"/>b) in order to calculate MRA in the  surface ocean as closely as possible to the data. Additional forcings and exceptions to this rule are found in the subsections describing the individual model setups.</p>
      <p id="d2e960">MRA  (in units <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>) is calculated after

          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M66" display="block"><mml:mrow><mml:mtext>MRA</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8033</mml:mn><mml:mo>⋅</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>atmosphere</mml:mtext></mml:msub></mml:mrow><mml:mn mathvariant="normal">1000</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>sample</mml:mtext></mml:msub></mml:mrow><mml:mn mathvariant="normal">1000</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mspace width="0.33em" linebreak="nobreak"/></mml:mrow></mml:math></disp-formula>

        as described in different format in <xref ref-type="bibr" rid="bib1.bibx63" id="text.23"/>. This equation is identical to what is used for Marine20, when the sample corresponds to the non-polar surface ocean <xref ref-type="bibr" rid="bib1.bibx20" id="paren.24"/>. As  summarized in <xref ref-type="bibr" rid="bib1.bibx59" id="text.25"/> it is equivalent to the radiocarbon age difference between two contemporary marine and atmospheric signal carriers, e.g. as for B-Atm radiocarbon age offsets  <xref ref-type="bibr" rid="bib1.bibx58" id="paren.26"><named-content content-type="pre">e.g.</named-content></xref> for which benthic values are compared to the atmosphere. As elaborated in detail elsewhere <xref ref-type="bibr" rid="bib1.bibx59" id="paren.27"><named-content content-type="pre">e.g.</named-content></xref>, due to its dependency on atmospheric <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and therefore of changes in the <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> production rate and the carbon cycle, neither MRA nor B-Atm are  perfect  tracers of a water mass transient time or “ideal age”.</p>
      <p id="d2e1092">The surface MRA was calculated from the surface boxes  in the box model or roughly the top 50 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the ocean  in the EMICs and the OGCM. For comparisons, surface MRA from the model results have also been computed from roughly the top 100 and 200 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Results were reported from full vertical layers, which due to different model grids differed in detail from these depth horizons. An overview of the models and simulation scenarios used in this study and the model-specific depth of the surface layers from which data have been processed is compiled in Table <xref ref-type="table" rid="T1"/>. While we focus in the discussions  of results and the plotted time series in the main text on changes in MRA with respect to pre-industrial (PI), since this is the target of the marine <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> calibration curves, we show absolute values of MRA in time series in the Supplement, which might be more of an interest from a climate/carbon cycle perspective.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1129">Overview on used models and simulation scenarios. The control (CTRL) scenarios have no abrupt AMOC changes, but AMOC changes rapidly in “abrupt” scenarios. The “top layers” indicate for which top surface water depth the MRA have been calculated. The target was 50, 100 and 200 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, but results differ due to different model grids.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="6cm"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Model</oasis:entry>
         <oasis:entry colname="col2">Type</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Scenario </oasis:entry>
         <oasis:entry colname="col5" align="left">Used Top Layers and Comment</oasis:entry>
         <oasis:entry colname="col6">Citation</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">CTRL</oasis:entry>
         <oasis:entry colname="col4">abrupt</oasis:entry>
         <oasis:entry colname="col5" align="left"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">BICYCLE-SE</oasis:entry>
         <oasis:entry colname="col2">box model</oasis:entry>
         <oasis:entry colname="col3">A0</oasis:entry>
         <oasis:entry colname="col4">A3</oasis:entry>
         <oasis:entry colname="col5" align="left">100 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (non-polar); 1000 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (polar)</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx31" id="text.28"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LOVECLIM</oasis:entry>
         <oasis:entry colname="col2">EMIC</oasis:entry>
         <oasis:entry colname="col3">nofwf</oasis:entry>
         <oasis:entry colname="col4">fwf</oasis:entry>
         <oasis:entry colname="col5" align="left">54, 104, 252 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bern3D</oasis:entry>
         <oasis:entry colname="col2">EMIC</oasis:entry>
         <oasis:entry colname="col3">Pnofwf</oasis:entry>
         <oasis:entry colname="col4">PallSTD</oasis:entry>
         <oasis:entry colname="col5" align="left">64, 99, 216 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LSG</oasis:entry>
         <oasis:entry colname="col2">OGCM</oasis:entry>
         <oasis:entry colname="col3">med</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5" align="left">50 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, median of nine simulations without abrupt  AMOC changes</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx11" id="text.29"/>
                </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>BICYCLE-SE</title>
      <p id="d2e1339">BICYCLE-SE is a carbon cycle box model consisting of 10 ocean boxes, a one box atmosphere and a 7 box terrestrial biosphere which also considers carbon exchange fluxes with the solid Earth by a sediment module, volcanic outgassing, weathering and coral reef growth. It is fully described in <xref ref-type="bibr" rid="bib1.bibx27" id="text.30"/> with the processes related to carbon isotopes being updated recently <xref ref-type="bibr" rid="bib1.bibx26" id="paren.31"/>. The simulation scenarios shown here have already been discussed in <xref ref-type="bibr" rid="bib1.bibx31" id="text.32"/>. Scenario A0 is a  run without abrupt changes in AMOC during Greenland stadials, while AMOC changes drastically in scenario A3. These AMOC changes are prescribed by the mean of two independent Iberian Margin sea surface temperature (SST) data sets <xref ref-type="bibr" rid="bib1.bibx13" id="paren.33"/> which is then rescaled to obtain a minimal AMOC of 2 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> during HS1, since this agrees best with <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reconstructions in the deep Atlantic Ocean <xref ref-type="bibr" rid="bib1.bibx31" id="paren.34"/>. See Fig. S1 in the Supplement for details on both the prescribed climate change and the simulated MRA with BICYCLE-SE.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>LOVECLIM</title>
      <p id="d2e1386">LOVECLIM <xref ref-type="bibr" rid="bib1.bibx16" id="paren.35"/> is an EMIC, which includes a quasi-geostrophic T21 atmospheric model, an OGCM (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, 20 vertical levels) coupled to a dynamic-thermodynamic sea-ice model, a vegetation model and a global carbon cycle model. The conditions at 54 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> were obtained through a transient experiment starting at 140 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx41" id="paren.36"/>. The model is forced with the transient evolution of orbital parameters <xref ref-type="bibr" rid="bib1.bibx6" id="paren.37"/>, atmospheric greenhouse gas concentration <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx5" id="paren.38"/>, and continental ice-sheet geometry and albedo. For the period 140–120 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the evolution of the continental ice-sheet geometry and albedo are as described in the PMIP4 protocol of the penultimate deglaciation <xref ref-type="bibr" rid="bib1.bibx40" id="paren.39"/>. Between 120 and 20 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the continental ice-sheet geometry and albedo evolution are given by a 130 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> off-line ice-sheet model simulation <xref ref-type="bibr" rid="bib1.bibx1" id="paren.40"/>. Between 20 and 2 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the model is forced by the continental ice-sheet geometry and albedo evolution from ICE4G <xref ref-type="bibr" rid="bib1.bibx48" id="paren.41"/>. At 54 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the Bering Strait is closed, and is gradually opened between 11 and 10 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1518">Between 140 and 54 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the atmospheric <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> is set constant at 0 ‰. The model is then re-equilibrated with atmospheric <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at 54 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> for 5000 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>. From 54 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> the model is forced by the transient evolution of atmospheric <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> using the IntCal20 data <xref ref-type="bibr" rid="bib1.bibx54" id="paren.42"/>. To allow the ocean to fully equilibrate the oceanic <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> can be used in this context here from about 50 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> onwards.</p>
      <p id="d2e1629">To simulate the millennial-scale variability of the last glacial period and the impact of deglacial ice-sheet disintegration (scenario fwf), meltwater is added into the North Atlantic (50–60<inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N, 10–60<inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> W) with the timing of these events being based on Iberian Margin SST from <xref ref-type="bibr" rid="bib1.bibx36" id="text.43"/>. In detail, a meltwater flux of 0.3 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> was added to achieve a collapsed AMOC during Heinrich stadials (HS) 1–4, while only 0.2 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> was added during HS5. A triangular pulse of up to 0.3 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> was also added between 13 and 12 kyr BP to simulate a reduced AMOC during the Younger Dryas. For comparison, a simulation without such meltwater fluxes and related millennial-scale changes is performed  (scenario nofwf). See Fig. S2 for details on both the simulated climate change and the simulated MRA with LOVECLIM.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Bern3D</title>
      <p id="d2e1684">The Bern3D model is a coarse resolution (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mn mathvariant="normal">68</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">46</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> irregular spaced grid in longitude, latitude and depth) Earth system model (or EMIC) that couples a frictional geostrophic ocean to 2D energy-moisture balance atmosphere. In contrast to the detailed description of the model in <xref ref-type="bibr" rid="bib1.bibx51" id="text.44"/>, we here employ it without the dynamical ice-sheet component. Instead, ice-sheet evolution over the last 55 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> is prescribed. For this, the Last Glacial Maximum (LGM) <xref ref-type="bibr" rid="bib1.bibx49" id="paren.45"><named-content content-type="pre">ICE-6G,</named-content></xref> and modern ice-sheet extents are linearly interpolated based on the benthic <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> record of <xref ref-type="bibr" rid="bib1.bibx35" id="text.46"/> for the last 55 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula>. The biogeochemical cycle including the implementation of radiocarbon is described in <xref ref-type="bibr" rid="bib1.bibx46" id="text.47"/> and <xref ref-type="bibr" rid="bib1.bibx70" id="text.48"/>.</p>
      <p id="d2e1750">In addition to changes in orbital configuration <xref ref-type="bibr" rid="bib1.bibx6" id="paren.49"/>, greenhouse gases (<inline-formula><mml:math id="M107" 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="M108" 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>, and <inline-formula><mml:math id="M109" 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>, <xref ref-type="bibr" rid="bib1.bibx29" id="altparen.50"/>), and ice-sheets, aerosol radiative forcing due to the changing atmospheric dust load is prescribed as well for the transient simulations. The temporal evolution of the aerosol radiative forcing follow the EPICA Dome C dust record <xref ref-type="bibr" rid="bib1.bibx34" id="paren.51"/>, which has been normalised to values between 0 during the late Holocene and <inline-formula><mml:math id="M110" 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="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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>, which corresponds to an average radiative forcing of about <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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> at the LGM  <xref ref-type="bibr" rid="bib1.bibx51" id="paren.52"><named-content content-type="pre">see</named-content></xref>. In scenario PallSTD, additional freshwater fluxes are applied into a box in the North Atlantic  (45–70<inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N, 66<inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> W–14<inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> E) during all stadials, with a maximum freshwater flux of 0.4 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> during HS and 0.2 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> during non-Heinrich stadials. The timing of stadials is, similarly as in BICYCLE-SE, based on the Iberian Margin SST as published in <xref ref-type="bibr" rid="bib1.bibx13" id="text.53"/>.</p>
      <p id="d2e1901">The model was first spun up to  PI conditions, followed by a 10 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> spinup to the conditions of 65 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. The model was then run transiently from 65 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> to present day, with the time from 65 to 55 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, serving as an additional transient spinup period (with atmospheric <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> fixed at its IntCal20 value for 55 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) to reach a realistic radiocarbon content in the deep ocean.  The additional scenario Pnofwf is in all but the missing freshwater fluxes during stadials identical to PallSTD. Note that the simulations shown here have different spin-ups – and contain no flux corrections from the North Atlantic to the North Pacific (45–70<inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N) – and so provide different results to the runs published in <xref ref-type="bibr" rid="bib1.bibx50" id="text.54"/> which considered multi-proxies during Termination 1. See Fig. S3 for details on both the simulated climate change and the simulated MRA with Bern3D.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>LSG</title>
      <p id="d2e1989">Output from the LSG OGCM has already been used within IntCal20 <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx20 bib1.bibx54" id="paren.55"/>. LSG has been used with a horizontal resolution of 3.5<inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> and a vertical resolution of 22 unevenly spaced levels. Further setup details are contained in <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx11" id="text.56"/>. No additional simulations (or outputs) have been performed (or generated). The model has been run with temporally constant ocean circulation which differed in three  climate setups. They contain a scenario  that mimics present-day climate background conditions approximating the Holocene and interstadials. One glacial scenario  aims at representing the LGM, features a shallower and  by about 30 % weaker AMOC compared to interglacials. A second glacial climate scenario mimics cold stadials with further AMOC weakening by about 60 %. As described in detail in <xref ref-type="bibr" rid="bib1.bibx9" id="text.57"/> these different climate setups have been generated by forcing the surface ocean with output from an atmospheric model, that itself was driven by different SST reconstructions. Each of these three climate setups has been performed for three different atmospheric <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> forcings ending in nine simulations. The three atmospheric <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> forcings contain the posterior mean estimate for the Hulu-based <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> atmospheric reconstruction and two time series that cover its 95 % confidence interval (CI) (mean <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>). Here, the median MRA from these nine simulations is shown, which is also what has been used within IntCal20.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Marine <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data</title>
      <p id="d2e2081">For an initial evaluation of model-based surface MRA we compare simulations with data-based MRA from the Global Ocean Data Analysis Project  (GLODAP) <xref ref-type="bibr" rid="bib1.bibx24" id="paren.58"/>, which is a synthesis of ocean sampling expeditions  carried out in the 1990s within the World Ocean Circulation Experiment (WOCE), the Joint Global Ocean Flux Study (JGOFS), and the Ocean Atmosphere Carbon Exchange Study (OACES). Here, we calculate

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M132" display="block"><mml:mrow><mml:mtext>MRA</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8033</mml:mn><mml:mo>⋅</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>atmosphere</mml:mtext></mml:msub></mml:mrow><mml:mn mathvariant="normal">1000</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mtext>pre-bomb DI</mml:mtext><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>abiotic</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>PI DIC</mml:mtext><mml:mtext>abiotic</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></disp-formula>

          in units <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> based on the approach used for the ocean model intercomparison project  <xref ref-type="bibr" rid="bib1.bibx45" id="paren.59"/>. Abiotic  PI dissolved inorganic carbon (DIC) has been derived from the atmospheric <inline-formula><mml:math id="M135" 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 of 284 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula> and pre-bomb abiotic dissolved inorganic <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (DI<inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) from  <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>atm</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰. According to <xref ref-type="bibr" rid="bib1.bibx17" id="text.60"/>, the latter represents the mean value of the decade before the onset of the bomb-peak in mid-1955, which has been used  as pre-bomb baseline to reconstruct marine <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> from potential alkalinity <xref ref-type="bibr" rid="bib1.bibx55" id="paren.61"/>. This so-called “natural” GLODAP-based MRA will always be a compromise since <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> is only corrected for bomb-<inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, but not for fossil fuels, the so-called <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-Suess effect <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx66" id="paren.62"/>.</p>
      <p id="d2e2298">To evaluate this natural GLODAP-based MRA we calculate local anomalies in MRA, the so-called <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula>, by subtracting the Marine20-based global MRA for 1950 CE (407 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>), and compare the resulting map of <inline-formula><mml:math id="M147" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>R with the entire content  of the <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> data base found at <uri>http://calib.org/marine/</uri> (last access: 2 October 2025) <xref ref-type="bibr" rid="bib1.bibx53" id="paren.63"/>. We take the 2000 entries of this data base which were available with stated uncertainties on 2nd October 2025. The data were collected mostly between the years 1729 and 1959 CE with three entries from the 17th century, one from 1512 CE and one from before CE. <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> is calculated from the difference of the reverse-calibrated collection year using Marine20 and the measured <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> age and is assumed to stay constant in time. We average the data in a spatial resolution of 2<inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> in both latitude and longitude ending with 609 values. Here, we use (as in the application of the online scripts of the data base)  weighted means for averaging with the mean of <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M153" display="inline"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>) given by

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M154" display="block"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow><mml:mrow><mml:msub><mml:mo>∑</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the uncertainty in <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the reported uncertainty <inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of <inline-formula><mml:math id="M158" display="inline"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> is the maximum of the SD of <inline-formula><mml:math id="M159" display="inline"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and the weighted uncertainty in <inline-formula><mml:math id="M160" display="inline"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> (see <uri>http://calib.org/marine/AverageDeltaR.html</uri>, last access:  2 October 2025, or <xref ref-type="bibr" rid="bib1.bibx7" id="altparen.64"/>, for details). We plot not only <inline-formula><mml:math id="M161" display="inline"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>, but also a minimum and a maximum version with <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. S4). Independent of which version of the data-based <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> we take we find in general  a good agreement between them and natural GLODAP (differences of typically up to  100 <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>) with the exception of single data points and the entire the west coast of North America, where values in the data base are more than 100 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> older than in GLODAP, potentially caused by coastal effects.</p>
      <p id="d2e2631">In order to compare model outputs with observations, we make use of compiled deglacial marine radiocarbon data from <xref ref-type="bibr" rid="bib1.bibx58" id="text.65"/> and regional time-series splines based on planktic foraminifera from <xref ref-type="bibr" rid="bib1.bibx61" id="text.66"/>. The latter include regional time series from 25 sites for the surface northeast Atlantic (<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">52</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N and east of 24<inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> W) and the Iberian Margin (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N, 10<inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> W). We use the deep Atlantic MRA (i.e. B-Atm, deeper than 2 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> water depth)  based on 34 sites that contributed to the baseline selection of <xref ref-type="bibr" rid="bib1.bibx58" id="text.67"/> in the realisation of <xref ref-type="bibr" rid="bib1.bibx31" id="text.68"/>. We do not compare model results to <xref ref-type="bibr" rid="bib1.bibx64" id="text.69"/>, since they used age models  based on IntCal09 and the resulting 42 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula>-long time series of surface MRA cover 0–65<inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N in the Atlantic, a value which cannot be extracted from the box model simulations.</p>
      <p id="d2e2726">Additionally, point-wise surface MRA for the time slices of the LGM  (19–21.8 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) and the HS1 (15–17.5 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) from the baseline selection of the data base of <xref ref-type="bibr" rid="bib1.bibx58" id="text.70"/> are used for further model evaluation. Here, multiple MRA entries for the same sites are averaged using weighted means (similar to Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>) reducing 67   entries for the LGM  to 19  values (89  entries for  the HS1 to 22 values), from which 13 exist for the same location in both periods making the calculation of HS1–LGM differences in MRA possible. Here, one entry for the LGM was rejected as outlier since its MRA was <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> offset from four alternative MRAs for the same site. Most surface MRA data are from the northeast Atlantic (between Iberian Margin and Iceland) which are complemented with data from single sites in the Southern Ocean, the tropical East- and West Pacific and the tropical Atlantic.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and Discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Pre-industrial MRA compared to GLODAP</title>
      <p id="d2e2803">Estimates of changes in surface MRA are necessary for <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> dating of marine  carbon-containing material. For  radiocarbon dating of marine organisms, such as foraminifera,  it is important to take into account the organism’s seasonal/depth habitat, e.g. for the estimation of appropriate local variations in reservoir age, that is <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx53" id="paren.71"/>, or for   comparison with model-based MRA estimates. Planktonic foraminifer habitats are  species-specific, and  often related to the mixed layer depth, but sometimes extend to greater depths <xref ref-type="bibr" rid="bib1.bibx25" id="paren.72"/>. The mixed layer depth has a seasonal cycle, but for  modern day latitudes <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>, it is typically less than 200 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx14" id="paren.73"/>, which in our two EMICs is indeed the case for the annual mean mixed layer depths during the PI  (Fig. S5). Note that due to a lack of more recent results from LOVECLIM, results for  2 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> are chosen to stand in for the  PI reference. The mean surface MRA calculated for the top 50 <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> within IntCal20 from LSG output <xref ref-type="bibr" rid="bib1.bibx11" id="paren.74"/> might be relevant to foraminifer data from the lower end of the mixed layer depth range, while the 100 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> thick non-polar surface ocean boxes of the BICYCLE model used within Marine20 were probably in the middle of the relevant mixed layer depth range. From the GLODAP data we calculate a mean surface MRA for latitudes <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> of 291, 318 and 356 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>, when considering data from the top 50, 100, and 200 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> water depth, respectively, illustrating the centennial-scale of the uncertainty related to the assumed habitat depth range. Furthermore, calculated surface MRA for different depth ranges from the transient simulations provide insights into  how this depth-dependency might vary with time (Figs. S2 and S3). Here, the depth ranges over which surface MRA have been calculated differ in detail (Table <xref ref-type="table" rid="T1"/>), depending on model grid, since we only consider full vertical layers. Differences between MRA based on roughly the top 50 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> or  100 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> are similar, and in agreement with GLODAP, while those based on roughly the top 200 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> are about 50 and 100 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> higher than MRA of top 50 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in Bern3D and LOVECLIM, respectively.</p>
      <p id="d2e2994">Maps of surface MRA for 2 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (our PI reference) compare well with  MRA based on natural <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in GLODAP  (Fig. <xref ref-type="fig" rid="F2"/>). The area-weighted root mean square errors of the residuals of the model-based differences to natural <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in GLODAP are 202, 133, 86 and 265 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> for BICYCLE-SE, LOVECLIM, Bern3D and LSG, respectively, which are all substantially smaller than the 399 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> of the area-weighted root mean square of the natural <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in GLODAP, evidencing the explanatory power of all the four models. Note that atmospheric <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at 2 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> was with <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula> ‰ only slightly different from the pre-bomb value of <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> ‰ in 1950 CE (0 <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>). However, be aware that this comparison has certain weaknesses due to the compromises in the GLODAP data (not free of the <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-Suess effect, see Methods section for details) and our choice of using simulation results at 2 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. For latitudes <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> the simulated surface MRAs are 461, 401, 344 and 443 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>  for BICYCLE-SE, LOVECLIM, Bern3D and LSG, respectively and the differences from GLODAP are for all models typically less than 300 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> with BICYCLE-SE and LSG showing predominantly larger values, while the two EMICs (especially Bern3D)  seem to  be closer to  GLODAP. The surface MRA in LOVECLIM in the North Atlantic seemed be an exception here, showing a difference of more than 200 <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>, a larger offset to GLODAP than the other models. LSG contains remarkably large positive offsets from GLODAP of more than 600 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> in  high latitudes probably related to the simulated sea ice. BICYCLE-SE shows a negative offset from GLODAP in the Southern Ocean of around 500 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>. This offset might be caused by BICYCLE-SE's 1000 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> deep surface ocean boxes in the polar regions. However, since a similar offset to GLODAP is missing in the northern high latitudinal boxes, which are also 1000 <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> deep, some counteracting processes might be at work here.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e3304">Surface MRA (<inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>) from all models (left) at 2 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> for runs with forced abrupt AMOC changes (scenarios: A3@BICYCLE-SE, fwf@LOVECLIM; PallSTD@Bern3D) and med@LSG; right: differences in surface MRA (left) from natural GLODAP (top middle). BICYCLE-SE: surface boxes; all else: mean values of roughly the top 50 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Use left color-code (brownish) for absolute values and right color-code (blue-to-red) for differences.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>MRA variations across the last glacial period</title>
      <p id="d2e3360">As a metric  of the simulated climate variations in the various models we here show changes in global mean sea surface temperature (GMSST). The simulated GMSST dropped during the LGM, depending on model,  between  <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> with respect to PI (Fig. <xref ref-type="fig" rid="F3"/>a). While the <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>  cooling (BICYCLE-SE) is in the range covered by data-based studies <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx2" id="paren.75"><named-content content-type="pre">e.g.</named-content></xref> the upper end of the range of <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>  (Bern3D, LOVECLIM) is probably under-estimating climate change during full glacial conditions.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e3447">Combining model outputs with focus on non-polar surface ocean (see Supplement for time series sorted by model). Changes in <bold>(a)</bold> global mean sea surface temperature (GMSST) with respect to (wrt) to the most recent points of the time series and <bold>(b)</bold> AMOC strength in the investigated models. Note that the  way they are calculated is model-dependent. It is the prescribed strength of the overturning cell in the Atlantic in BICYCLE-SE and the maximum of the meridional overturning streamfunction in the North Atlantic  in LOVECLIM and Bern3D, but for the latter only at depths greater than 400 <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to exclude the wind driven (sub)surface part. <bold>(c)</bold> Atmospheric <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> from IntCal20 <xref ref-type="bibr" rid="bib1.bibx54" id="paren.76"/> for comparison. <bold>(d)</bold> MRA of the non-polar surface ocean (surface box or roughly the top 50 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) ranging from about 50<inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> S to 50<inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N for the different simulations and Marine20 <xref ref-type="bibr" rid="bib1.bibx20" id="paren.77"/>. Differences in simulated non-polar surface MRA <bold>(e)</bold> wrt 2 <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (PI) and <bold>(f)</bold> to Marine20 wrt 2 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. Grey background is the 95 % CI of Marine20. <bold>(g)</bold> Differences in non-polar surface MRA between simulations with and without abrupt AMOC changes for BICYCLE-SE, LOVECLIM and Bern3D. Additionally, <inline-formula><mml:math id="M249" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA from a box diffusion model <xref ref-type="bibr" rid="bib1.bibx3" id="paren.78"/> in which eddy diffusity is linearly related to our AMOC proxy <xref ref-type="bibr" rid="bib1.bibx13" id="paren.79"><named-content content-type="pre">Iberian Margin SST of</named-content></xref>. Annual output from LOVECLIM for GMSST and AMOC is plotted as 50 year running mean, output of Bern3D comes in timesteps of 50 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>. Vertical bands mark Heinrich events (blue) or non-Heinrich stadials (pink), see caption to Fig. <xref ref-type="fig" rid="F1"/> for details. Results from simulations without abrupt AMOC changes have been omitted in <bold>(d)</bold>–<bold>(f)</bold> for clarity, but are found in  Figs. S1–S3.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026-f03.png"/>

        </fig>

      <p id="d2e3584">The timing of AMOC reductions in the model simulations was prescribed to coincide with the timing of Greenland stadials expressed in the ice-core record of <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx43" id="paren.80"><named-content content-type="pre">e.g.</named-content></xref>, and was also captured in the SST reconstruction at the Iberian Margin  <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx13" id="paren.81"/>. Here, the precise timing in BICYCLE-SE and Bern3D is based on <xref ref-type="bibr" rid="bib1.bibx13" id="text.82"/>, while in LOVECLIM data from <xref ref-type="bibr" rid="bib1.bibx36" id="text.83"/> have been used, giving  similar results. In Bern3D the applied freshwater fluxes were adjusted according to its known freshwater sensitivity <xref ref-type="bibr" rid="bib1.bibx51" id="paren.84"/> to achieve a virtually collapsed AMOC during Heinrich stadials and a strongly reduced AMOC during non-Heinrich stadials, while in LOVECLIM AMOC collapsed due to the applied freshwater forcing only in HS1–4, but was slightly reduced in HS5 and the Younger Dryas.</p>
      <p id="d2e3619">In BICYCLE-SE sensitivity tests and a comparison of simulated  deep ocean MRA with reconstructions has been used to choose the applied AMOC changes <xref ref-type="bibr" rid="bib1.bibx31" id="paren.85"/>. The resulting changes in simulated AMOC strength across models (Fig. <xref ref-type="fig" rid="F3"/>b) varied widely, e.g. 16–26 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> for PI, 10–20 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> for the LGM  and 2–5 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> for HS1  and the Younger Dryas, summarizing results for runs with abrupt AMOC shutdown. Note that the AMOC strength was calculated differently  in each model (see caption to Fig. <xref ref-type="fig" rid="F3"/> for details). For earlier HS, most models show smaller AMOC reductions than for HS1 and LOVECLIM also contains a strong but short reduction in AMOC during the 8.2 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> event not covered by the other models. Notably, the AMOC at the LGM in Bern3D, which has been evaluated in a multi-proxy  approach to about 11 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx50" id="paren.86"/> is now <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula>, since flux corrections applied in the other study have been neglected here.</p>
      <p id="d2e3691">The simulated non-polar MRA  (<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>) contains remarkable model-specific differences. From the absolute values we can identify the model-specific offsets with Bern3D simulating the lowest PI MRA, while BICYCLE-SE simulates the highest PI MRA (Fig. <xref ref-type="fig" rid="F3"/>d). On the other hand, at the LGM (20 <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>), the smallest MRA is simulated by LSG, followed by Bern3D, LOVECLIM, and BICYCLE-SE. Across the last glacial period, Bern3D simulates the largest  changes in MRA, with a 1000 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> anomaly with respect to PI during the Laschamps geomagnetic excursion around 42 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx57" id="paren.87"/>, while LOVECLIM and LSG display the smallest MRA anomalies with respect to PI (Fig. <xref ref-type="fig" rid="F3"/>e). The differences to Marine20 – when plotted with respect to PI – show to a large degree model-specific responses which nearly all fall in their sizes within the 95 % CI of Marine20 (Fig. <xref ref-type="fig" rid="F3"/>f). One more general pattern is the decrease of this difference in results from BICYCLE-SE and Bern3D during Greenland stadials not similarly seen in LOVECLIM.</p>
      <p id="d2e3763">Only when we calculate differences from simulations with and without abrupt AMOC shutdown during stadials for the same model do we find the tendency of smaller non-polar surface MRA during stadials   (Fig. <xref ref-type="fig" rid="F3"/>g). However, a notable exception here is HS1 in LOVECLIM which shows a more complex (rather opposite) dynamic. <xref ref-type="bibr" rid="bib1.bibx3" id="text.88"/> showed that <inline-formula><mml:math id="M265" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA remains small (<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>) when changing the eddy diffusivity in the box-diffusion model <xref ref-type="bibr" rid="bib1.bibx44" id="paren.89"/> that has been widely used to convert atmospheric <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> changes in terms of oceanic changes (<xref ref-type="bibr" rid="bib1.bibx67" id="text.90"/> and subsequent IntCal calibration iteration until 2013). The main point outlined by <xref ref-type="bibr" rid="bib1.bibx3" id="text.91"/> is that the global average surface MRA and mean deep ocean <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> age vary in opposite directions when eddy diffusivity changes, mimicking global overturning variations (all else being equal). Interestingly, scaling the eddy diffusivity to our AMOC proxy curve <xref ref-type="bibr" rid="bib1.bibx13" id="paren.92"><named-content content-type="pre">SST record by </named-content></xref> leads to a similar <inline-formula><mml:math id="M271" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA pattern in the box-diffusion model as in the other models when they are averaged in the low and mid-latitudes (Fig. <xref ref-type="fig" rid="F3"/>g). The linear scaling of the eddy diffusivity assumes a modern value of 4000 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><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> and  a minimum value of  500 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><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>  at ca. 40 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> during the coldest interval of HS4 (<inline-formula><mml:math id="M275" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST of <inline-formula><mml:math id="M276" 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="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F1"/>d). Instantaneous steady state MRA values are then calculated with the analytical Eq. (4) derived by <xref ref-type="bibr" rid="bib1.bibx3" id="text.93"/>. In the box-diffusion model, the <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> production is mainly balanced by radioactive decay in the deep ocean reservoir. Reducing or stopping the exchange with the mixed layer implies that <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> remains confined to the atmosphere and the mixed layer. These two boxes, which contain comparable total carbon inventories, would tend to homogenize, thus reducing the MRA.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3967">Difference in surface MRA (<inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>) in all models (BICYCLE-SE: surface box; all else: roughly the top 50 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) between 20 and 2 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (20–2 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) for runs with abrupt AMOC changes (scenarios: A3@BICYCLE-SE, fwf@LOVECLIM; PallSTD@Bern3D) and med@LSG. The 19 points in each panel are the difference for the LGM (19–21.8 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) based on reconstructions <xref ref-type="bibr" rid="bib1.bibx58" id="paren.94"/> from natural GLODAP.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026-f04.png"/>

        </fig>

      <p id="d2e4041">When plotting changes in MRA reconstructions for the LGM <xref ref-type="bibr" rid="bib1.bibx58" id="paren.95"/> together with model outputs we find that most models underestimate for most locations the changes in surface MRA (Fig. <xref ref-type="fig" rid="F4"/>). The best agreement, especially at high latitudes, is obtained for LSG. This comparison is rather limited, due to the availability of only 19  data points. It has as additional caveat that simulations are focused on 20 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, while the data cover the wider time window of 19–21.8 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. Changes in models and data only roughly agree in a few areas (Iberian Margin, Caribbean) but elsewhere differ widely, with models underestimating the MRA derived from proxy records. Note that the about 10 data point in the northeast Atlantic show partly very different changes, ranging from a reduction in MRA to a rise by more than 1000 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>. This local diversity of the reconstructions challenges our model-data comparison since small-scale localised effects seen in the data might not be contained in the coarsely resolved models. Notably, there is also significant disagreement between models in particular regions. One reason for the data-model offsets might be the habitat depth of the planktonic foraminifera,  even though the EMICs give surface MRA that differ by less than 50 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>  when based on roughly the top 200 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> instead of the top 50 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> used so far (Fig. S6). Interestingly, annual mean mixed layer depth at 20 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> in the two EMICs differ in the non-polar regime only very little from the PI control (Fig. S5). Another reason may be that the models are all missing key processes that might influence vertical diffusivity in the upper ocean or air–sea gas exchange at the surface, particularly at high latitudes, or that they tend to simulate a different radiocarbon distribution in the interior ocean than prevailed in the past. Going here into more detail, e.g. by an extended deep ocean <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> model-data comparison is beyond the scope of the present study, but a potential promising avenue for future studies.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e4155">Differences in surface MRA (<inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>) from all models but LSG (BICYCLE-SE: surface box; all else: roughly the top 50 <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) between 16 and 20 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (16–20 <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) for runs with abrupt AMOC changes (scenarios: A3@BICYCLE-SE, fwf@LOVECLIM; PallSTD@Bern3D). The 13 points in each panel are differences in MRA for HS1 (15–17.5 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) – LGM (19–21.8 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) based on reconstructions <xref ref-type="bibr" rid="bib1.bibx58" id="paren.96"/>.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Details of the impacts of AMOC weakening on MRA</title>
      <p id="d2e4248">To further elucidate the model-specific responses for HS1, we compare simulations with reconstructions for that time interval (Fig. <xref ref-type="fig" rid="F5"/>). Here, we focus on the HS1–LGM difference. Since the simulations with the LSG OGCM were not containing abrupt AMOC changes during Greenland stadials, the output from this model is not included here. For this comparison, 13 data points exist in the data base of <xref ref-type="bibr" rid="bib1.bibx58" id="text.97"/>. Both EMICs show a general MRA decrease at mid and low latitudes notably in the Indo-Pacific. This almost global MRA reduction is compatible with that obtained with the BICYCLE-SE model. In addition to this common pattern, the models exhibit different dynamical behaviour (e.g. a different ocean overturning or a different air–sea gas exchange of <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) that is responsible for an increase of MRA in the northern  North Atlantic, with varying intensity and spatial extent: confined to the northern North Atlantic (+Arctic) in BICYCLE-SE, intermediate in Bern3D, and widespread to most of the Atlantic basin in LOVECLIM. Thus, the different  response in the Atlantic in HS1 readily explains LOVECLIM's different dynamics  when comparing non-polar averages of runs with and without abrupt AMOC shutdown  (Fig. <xref ref-type="fig" rid="F3"/>g). There are areas where models disagree with available  data. In particular, the Iberian margin data, e.g. shown previously in <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx61 bib1.bibx62" id="text.98"/>, exhibit a clear MRA increase during HS1, as already acknowledged in <xref ref-type="bibr" rid="bib1.bibx20" id="text.99"/>, which is covered in LOVECLIM, but not in Bern3D. Both EMICs show the existence of a radiocarbon bipolar seesaw pattern, with widespread decrease in the Southern Ocean, not restricted to the Atlantic sector. This radiocarbon bipolar seesaw pattern with MRA increases in the northern  Atlantic and MRA reductions in the Southern Ocean is very reminiscent of the thermal bipolar seesaw <xref ref-type="bibr" rid="bib1.bibx65" id="paren.100"/> available from paleo-SST data <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx13" id="paren.101"><named-content content-type="pre">e.g.</named-content></xref> and from numerous model experiments <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx47" id="paren.102"><named-content content-type="pre">e.g.</named-content></xref>. Indeed, this seesaw pattern in MRA variability is directly consistent with what has been previously observed in direct MRA reconstructions <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx61 bib1.bibx62 bib1.bibx58 bib1.bibx59" id="paren.103"/>, where it has been hypothesized to relate to sea-ice variability in each hemisphere. Interestingly, the mixed layer depth is reduced in both the North Atlantic and the Southern Ocean between HS1 and LGM, especially in Bern3D (Fig. S5, right column). This in-phase change of the mixed layer depth with the MRA in the north together with their anti-phase change in the south suggests that other processes are more important for explaining surface MRA in connection with AMOC weakening.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e4295">MRA changes with respect to the most recent points of the time series in simulated  <bold>(a)</bold> surface northern  (<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M305" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N) and deep <bold>(b)</bold> Atlantic. Combining all model outputs with focus on the Atlantic. The surface North Atlantic MRA (surface box or roughly the top 50 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) covers all north of 50<inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N including the Arctic Ocean. The deep Atlantic contains water below 2 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> water depth. Data source: surface North Atlantic  MRA: <xref ref-type="bibr" rid="bib1.bibx61" id="text.104"/>; deep Atlantic: <xref ref-type="bibr" rid="bib1.bibx58" id="text.105"/> as compiled in <xref ref-type="bibr" rid="bib1.bibx31" id="text.106"/>. Vertical bands mark Heinrich events (blue) or non-Heinrich stadials (pink), see caption to Fig. <xref ref-type="fig" rid="F1"/> for details.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026-f06.png"/>

        </fig>

      <p id="d2e4363">In some of the regions where the two EMICs disagree, reconstruction-based evidence also exists – in particular for the Iberian Margin. However, in the equatorial Atlantic, where the models show opposite changes in MRA, such direct measurements are not available. This prevents a data-based evaluation of the two diverging simulations.</p>
      <p id="d2e4367">An alternative to calculating the MRA anomaly during HS1 is based on the different surface MRA at 16 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> from simulations with and without abrupt AMOC shutdowns (Fig. S7, right column). However, such a model-based anomaly cannot directly be compared with reconstructions. Here, results from all contributing models (BICYCLE-SE, LOVECLIM, Bern3D) show more positive <inline-formula><mml:math id="M310" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA than in the calculations based on the HS1–LGM difference, but contain similar patterns. Increases in surface MRA in  the non-polar Atlantic basin are now also contained in BICYCLE-SE.</p>
      <p id="d2e4388">As a final step, we compare simulated and reconstructed time series of surface northern Atlantic (<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M312" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N) and deep Atlantic MRA – all with respect to  PI (Fig. <xref ref-type="fig" rid="F6"/>). The maximum lengths of reconstructed timeseries are limited to the past 25–30 kyr, but they provide useful insights for Termination I, including HS1. As expected, simulations with abrupt AMOC changes contain higher <inline-formula><mml:math id="M313" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA during HS1 than those without these abrupt changes. However, only LOVECLIM reached changes of 1300 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> in the surface northern  Atlantic as found in the reconstructions, and only Bern3D reaches the HS1 peak of 1200 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> in the deep Atlantic, although some thousand years later. The model-data offset at the surface northern  Atlantic might have contributed to aliasing of spatial patterns, whereby the compiled data are largely restricted to east of 24<inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> W in the northern Atlantic <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">42</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N whereas model results include  the whole northern  Atlantic and Arctic Ocean (<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N). However, if this was the case, MRA variability in the western North Atlantic (and Arctic) should have been greatly reduced compared to the eastern part of the basin, which is opposite to what the model simulations tend to suggest (Fig. <xref ref-type="fig" rid="F5"/>). Note that in BICYCLE-SE, <inline-formula><mml:math id="M323" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA in both surface northern  Atlantic and deep Atlantic are very similar probably linked to the box model geometry and prescribed fluxes which contain a direct connection and vigorous exchanges between both boxes. All models tend to agree on having peaks in both surface northern Atlantic and deep Atlantic <inline-formula><mml:math id="M324" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA connected with millennial-scale climate change. However, amplitudes are model-specific with Bern3D simulating the largest amplitudes which even appear, although in smaller size,  in the simulation without abrupt AMOC changes. This indicates <xref ref-type="bibr" rid="bib1.bibx31" id="paren.107"><named-content content-type="pre">as already notified in</named-content></xref> that they are partly related to the variability contained in either atmospheric <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M326" 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 not only to abrupt AMOC changes, though the impact of such atmospheric effects is likely limited to less than <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> equivalent for the global deep ocean and far less for the surface ocean <xref ref-type="bibr" rid="bib1.bibx58" id="paren.108"/>. Possible explanations might be related to changes in the terrestrial carbon cycle <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx71" id="paren.109"><named-content content-type="pre">e.g.</named-content></xref>.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4587"><bold>(a)</bold> Multi-model mean (MMM) of non-polar surface MRA from the 2 EMICs with simulations containing abrupt AMOC changes (fwf@LOVECLIM; PallSTD@Bern3D) in comparison to Marine20. Difference of MMM with respect to (wrt) 2 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (PI) of <bold>(b)</bold> non-polar surface MRA and of <bold>(c)</bold> northern and <bold>(d)</bold> southern polar surface ocean to changes in MRA of the mean of Marine20 also wrt 2 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. Light coloured areas show  95 % CI for Marine20 and the full range of model results for the MMM. MMM is based on MRA results of roughly the top 50 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the water column. Panel <bold>(a)</bold> contains also a version of the MMM based on roughly the top  <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The MMM is only shown between 50 and 2 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, since before 50 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> spin-up effects take places, and at 2 <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> the LOVECLIM simulation ends. Vertical bands mark Heinrich events (blue) or non-Heinrich stadials (pink), see caption to Fig. <xref ref-type="fig" rid="F1"/> for details.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/729/2026/cp-22-729-2026-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Towards global MRA</title>
      <p id="d2e4703">Finally, we calculate changes in surface MRA from a multi-model mean (MMM) based on low latitude (<inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>)  results of scenarios with abrupt AMOC changes in the two EMICs, which are then compared with Marine20 (Fig. <xref ref-type="fig" rid="F7"/>a, b). While the full range of simulation results is nearly always within the 95 % CI of Marine20, it is on its lower edge since the LGM. Furthermore, the MMM is consistently about 100 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> smaller than Marine20. We tested if this offset might be based on the chosen depth of the analysed surface MRA. However, we only found a slightly better agreement between MMM and Marine20  when using  results from the mean of the top 200 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> instead of the top 50 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> as done in the default case (Fig. <xref ref-type="fig" rid="F7"/>a). This offset between MMM and Marine20 again illustrates that the pre-bomb non-polar MRA, which was about 407 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> for the year 1950 CE when using BICYCLE within Marine20 <xref ref-type="bibr" rid="bib1.bibx20" id="paren.110"/> is model-specific.</p>
      <p id="d2e4787">In a very last step we additionally calculate changes in the surface MRA of the high latitudes (<inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>) and of the global mean in order to understand how much they differ from the MRA of the non-polar areas (Fig. S8). The MRA in both high northern and high southern latitudes in LSG contain a jump by more than 1000 <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> at 10.7 <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>; however, this jump is related to an arbitrary change to an ‘interglacial’ overturning scenario from the reduced “glacial” overturning scenario in the LSG model. As the much larger MRA at the LGM in high latitudes in LSG agreed better with reconstructions than the smaller values of the EMICs (Fig. <xref ref-type="fig" rid="F4"/>), this raises some questions: if these sparse LGM-based reconstructions are broadly representative of glacial conditions, one might ask if the EMICs are missing or inadequately resolving key processes in the high latitudes during glacial times. Alternatively, if the EMIC-based glacial polar MRA turn out to be more accurate than the LSG-based results any polar age calibration based on the latter <xref ref-type="bibr" rid="bib1.bibx22" id="paren.111"/> are then potentially biased towards too old values. For the two EMICs, the global mean MRA and the non-polar MRA are very similar (Fig. S8) suggesting that the non-polar MRA might indeed be of global applicability. However, when looking to the details we find that the range and the MMM of the changes in the northern polar MRA (which is similar, but not identical to the MRA of the northern North Atlantic discussed earlier) is – apart from certain HSs with several centuries older MRA – indeed comparable with the 95 % CI of Marine20 (Fig. <xref ref-type="fig" rid="F7"/>c). The changes in the southern polar MRA are much higher than in Marine20, both in range and in  MMM   (Fig. <xref ref-type="fig" rid="F7"/>d), especially in Bern3D, although still by a few centuries younger  than in LSG  (Fig. S8). Thus, a global usage of the non-polar MRA would lead especially in the Southern Ocean <xref ref-type="bibr" rid="bib1.bibx61" id="paren.112"><named-content content-type="pre">but also at the Iberian Margin;</named-content></xref> to underestimations of MRA by at least one century, leading to an overestimate of calendar age in probes whose radiocarbon age calibration is based on them. This Southern Ocean age offset in the models is probably related to the higher glacial sea ice coverage  (Fig. S9) and the larger glacial  mixed layer depth  (Fig. S5). Here, larger glacial summer sea ice in the Southern Ocean and larger glacial mixed layer depth  in Bern3D compared to LOVECLIM potentially explain at least part of the model-specific <inline-formula><mml:math id="M351" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA  in the Southern Ocean.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e4869">Comparing for the first time results from  transient simulations of two EMICs, one OGCM and one box model over the radiocarbon time window we find that abrupt AMOC changes might introduce anomalies of up to 100–200 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula> to the changes in the mean non-polar surface MRA. Our results show that especially the surface <inline-formula><mml:math id="M354" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA in the non-polar Atlantic is model-specific and potentially different from the Indo-Pacific. Directly observed information on MRAs over Heinrich stadials is relatively sparse which limits independent evaluation of model behaviour. The direct data that do exist during HS1 <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx58" id="paren.113"><named-content content-type="pre">e.g.</named-content></xref> suggest that no one model provides simulations with uniformly greater model-to-data accuracy. The simulated <inline-formula><mml:math id="M355" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>MRA in LOVECLIM may be more accurate when compared to data-based reconstructions in the surface northern Atlantic; however Bern3D may be more accurate in other locations. The very different changes in glacial polar MRA (especially in the Southern Ocean) in the two EMICs and LSG indicates that our ability to simulate radiocarbon in the polar regions remains limited and a robust conclusion on their MRA changes remains dependent on a relatively sparse observational database. The model-intercomparison shows where different models have strengths and weaknesses, but does not yet determine, what the best approach in the next iteration of IntCal might be, e.g. calculating multi-model means or relying on individual models. While there are indeed important differences between the models that need to be understood, the overall level of agreement is fairly remarkable. This lends substantial support to the marine calibration endeavour and should strengthen community confidence in the reliability of marine radiocarbon calibration curves (at least at low-latitudes in the open oceans).</p>
      <p id="d2e4912">For marine radiocarbon calibrations temporal changes in global average surface MRA (e.g. as provided by models such as in this study) may be combined with  regional  <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> estimates <xref ref-type="bibr" rid="bib1.bibx20" id="paren.114"><named-content content-type="pre">for details see</named-content></xref>. However, this method requires that  the regional <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula>s remain  constant over time, whereas a growing body of observations suggests that this is not the case over the last deglaciation and during HS1 in particular <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx15 bib1.bibx60 bib1.bibx61 bib1.bibx58" id="paren.115"><named-content content-type="pre">e.g.</named-content></xref>. Our MRA-MIP  supports this observation (as yet based on relatively sparse data), and suggests that during Greenland stadials  MRA in the Atlantic varies differently than in the Indo-Pacific. While this points to the potential usefulness of  regional calibration curves <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx37" id="paren.116"/>, an alternative and more immediately practical approach might be to continue to use one global calibration curve (as done so far) and apply larger and appropriately structured age uncertainties for different regions and time periods, such as the northern  Atlantic during Greenland stadials.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e4953">All simulation results are available from PANGAEA: BICYCLE(-SE), LSG and marine data splines: <ext-link xlink:href="https://doi.org/10.1594/pangaea.902301" ext-link-type="DOI">10.1594/pangaea.902301</ext-link> <xref ref-type="bibr" rid="bib1.bibx10" id="paren.117"/>, <ext-link xlink:href="https://doi.org/10.1594/pangaea.914500" ext-link-type="DOI">10.1594/pangaea.914500</ext-link> <xref ref-type="bibr" rid="bib1.bibx19" id="paren.118"/>, and <xref ref-type="bibr" rid="bib1.bibx32" id="text.119"/>. New results from Bern3D and LOVECLIM  (this study): <xref ref-type="bibr" rid="bib1.bibx33" id="text.120"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e4975">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/cp-22-729-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/cp-22-729-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4984">PK designed the study, performed the BICYCLE-SE simulations, made all figures and led the writing of the draft. LM performed LOVECLIM simulations. FP performed Bern3D simulations. EB performed box diffusion model simulations and contributed knowledge on SST data, marine <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data and MRA. LCS contributed knowledge on marine <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data and MRA. TJH contributed insights how the findings might be used within the next iteration of IntCal. All authors discussed the results.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5014">At least one of the (co-)authors is a member of the editorial board of <italic>Climate of the Past</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="d2e5023">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="d2e5030">We thank Martin Butzin for digged  out details on natural <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> within GLODAP and for ongoing discussions on <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and on LSG output and comments on the draft. We thank Florian Adolphi for comments on an earlier version of the draft. We thank Patrick Rafter and an anonymous reviewer for their comments.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5059">This research has been supported by the Australian Research Council (grant no. SR200100008) to Laurie Menviel, the Agence Nationale de la Recherche (grant MARCARA) to Edouard Bard, the HORIZON EUROPE Global Challenges and European Industrial Competitiveness (grant nos. 101137601 (ClimTip) and 101184070 (Past-To-Future)) to Frerk Pöppelmeier, and the Natural Environment Research Council (grant no. NE/V011464/1) to Luke C. Skinner.The article processing charges for this open-access publication were covered by the Alfred-Wegener-Institut Helmholtz-Zentrum für Polar- und Meeresforschung.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5068">This paper was edited by Marisa Montoya and reviewed by Patrick Rafter and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Abe-Ouchi et al.(2007)Abe-Ouchi, Segawa, and Saito</label><mixed-citation>Abe-Ouchi, A., Segawa, T., and Saito, F.: Climatic Conditions for modelling the Northern Hemisphere ice sheets throughout the ice age cycle, Clim. Past, 3, 423–438, <ext-link xlink:href="https://doi.org/10.5194/cp-3-423-2007" ext-link-type="DOI">10.5194/cp-3-423-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Annan et al.(2022)Annan, Hargreaves, and Mauritsen</label><mixed-citation>Annan, J. D., Hargreaves, J. C., and Mauritsen, T.: A new global surface temperature reconstruction for the Last Glacial Maximum, Clim. Past, 18, 1883–1896, <ext-link xlink:href="https://doi.org/10.5194/cp-18-1883-2022" ext-link-type="DOI">10.5194/cp-18-1883-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Bard(1988)</label><mixed-citation>Bard, E.: Correction of accelerator mass spectrometry <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages measured in planktonic foraminifera: Paleoceanographic implications, Paleoceanography, 3, 635–645, <ext-link xlink:href="https://doi.org/10.1029/PA003i006p00635" ext-link-type="DOI">10.1029/PA003i006p00635</ext-link>, 1988.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Barker et al.(2009)Barker, Diz, Vantravers, Pike, Knorr, Hall, and Broecker</label><mixed-citation>Barker, S., Diz, P., Vantravers, M. J., Pike, J., Knorr, G., Hall, I. R., and Broecker, W. S.: Interhemispheric Atlantic seesaw response during the last deglaciation, Nature, 457, 1007–1102, <ext-link xlink:href="https://doi.org/10.1038/nature07770" ext-link-type="DOI">10.1038/nature07770</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Bereiter et al.(2015)Bereiter, Eggleston, Schmitt, Nehrbass-Ahles, Stocker, Fischer, Kipfstuhl, and Chappellaz</label><mixed-citation>Bereiter, B., Eggleston, S., Schmitt, J., Nehrbass-Ahles, C., Stocker, T. F., Fischer, H., Kipfstuhl, S., and Chappellaz, J.: Revision of the EPICA Dome C <inline-formula><mml:math id="M363" 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> record from 800 to 600 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> before present, Geophys. Res. Lett., 42, 542–549, <ext-link xlink:href="https://doi.org/10.1002/2014GL061957" ext-link-type="DOI">10.1002/2014GL061957</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Berger(1978)</label><mixed-citation>Berger, A. L.: Long-term variations of daily insolation and Quaternary climatic changes, J. Atmos. Sci., 35, 2362–2367, <ext-link xlink:href="https://doi.org/10.1175/1520-0469(1978)035&lt;2362:LTVODI&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0469(1978)035&lt;2362:LTVODI&gt;2.0.CO;2</ext-link>, 1978.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Bevington(1969)</label><mixed-citation> Bevington, P. R.: Data Reduction and Error Analysis for the Physical Sciences, McGraw Hill, ISBN10 0070051356, 1969.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Blunier and Brook(2001)</label><mixed-citation>Blunier, T. and Brook, E. J.: Timing of millennial-scale climate change in Antarctica and Greenland during the last glacial period, Science, 291, 109–112, <ext-link xlink:href="https://doi.org/10.1126/science.291.5501.109" ext-link-type="DOI">10.1126/science.291.5501.109</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Butzin et al.(2005)Butzin, Prange, and Lohmann</label><mixed-citation>Butzin, M., Prange, M., and Lohmann, G.: Radiocarbon simulations for the glacial ocean: the effects of wind stress, Southern Ocean sea ice and Heinrich events, Earth Planet. Sc. Lett., 235, 45–61, <ext-link xlink:href="https://doi.org/10.1016/j.epsl.2005.03.003" ext-link-type="DOI">10.1016/j.epsl.2005.03.003</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Butzin et al.(2019)Butzin, Heaton, Köhler, and Lohmann</label><mixed-citation>Butzin, M., Heaton, T. J., Köhler, P., and Lohmann, G.: Marine radiocarbon reservoir ages simulated for IntCal20, link to model results in NetCDF format, Pangaea [data set], <ext-link xlink:href="https://doi.org/10.1594/pangaea.902301" ext-link-type="DOI">10.1594/pangaea.902301</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Butzin et al.(2020)Butzin, Heaton, Köhler, and Lohmann</label><mixed-citation>Butzin, M., Heaton, T. J., Köhler, P., and Lohmann, G.: A short note on marine reservoir age simulations used in IntCal20, Radiocarbon, 62, 865–871, <ext-link xlink:href="https://doi.org/10.1017/RDC.2020.9" ext-link-type="DOI">10.1017/RDC.2020.9</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Cooper et al.(2021)Cooper, Turney, Palmer, Hogg, McGlone, Wilmshurst, Lorrey, Heaton, Russell, McCracken, Anet, Rozanov, Friedel, Suter, Peter, Muscheler, Adolphi, Dosseto, Faith, Fenwick, Fogwill, Hughen, Lipson, Liu, Nowaczyk, Rainsley, Bronk Ramsey, Sebastianelli, Souilmi, Stevenson, Thomas, Tobler, and Zech</label><mixed-citation>Cooper, A., Turney, C. S. M., Palmer, J., Hogg, A., McGlone, M., Wilmshurst, J., Lorrey, A. M., Heaton, T. J., Russell, J. M., McCracken, K., Anet, J. G., Rozanov, E., Friedel, M., Suter, I., Peter, T., Muscheler, R., Adolphi, F., Dosseto, A., Faith, J. T., Fenwick, P., Fogwill, C. J., Hughen, K., Lipson, M., Liu, J., Nowaczyk, N., Rainsley, E., Bronk Ramsey, C., Sebastianelli, P., Souilmi, Y., Stevenson, J., Thomas, Z., Tobler, R., and Zech, R.: A global environmental crisis 42 000 <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> ago, Science, 371, 811–818, <ext-link xlink:href="https://doi.org/10.1126/science.abb8677" ext-link-type="DOI">10.1126/science.abb8677</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Davtian and Bard(2023)</label><mixed-citation>Davtian, N. and Bard, E.: A new view on abrupt climate changes and the bipolar seesaw based on paleotemperatures from Iberian Margin sediments, P. Natl. Acad. Sci. USA, 120, e2209558120, <ext-link xlink:href="https://doi.org/10.1073/pnas.2209558120" ext-link-type="DOI">10.1073/pnas.2209558120</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>de Boyer-Montégut et al.(2004)de Boyer-Montégut, Madec, Fischer, Lazar, and Iudicone</label><mixed-citation>de Boyer-Montégut, C., Madec, G., Fischer, A. S., Lazar, A., and Iudicone, D.: Mixed layer depth over the global ocean: An examination of profile data and a profile-based climatology, J. Geophys. Res.-Oceans, 109, <ext-link xlink:href="https://doi.org/10.1029/2004JC002378" ext-link-type="DOI">10.1029/2004JC002378</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>de la Fuente et al.(2015)de la Fuente, Skinner, Calvo, Pelejero, and Cacho</label><mixed-citation>de la Fuente, M., Skinner, L., Calvo, E., Pelejero, C., and Cacho, I.: Increased reservoir ages and poorly ventilated deep waters inferred in the glacial Eastern Equatorial Pacific, Nat. Commun., 6, 7420, <ext-link xlink:href="https://doi.org/10.1038/ncomms8420" ext-link-type="DOI">10.1038/ncomms8420</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Goosse et al.(2010)Goosse, Brovkin, Fichefet, Haarsma, Huybrechts, Jongma, Mouchet, Selten, Barriat, Campin, Deleersnijder, Driesschaert, Goelzer, Janssens, Loutre, Morales Maqueda, Opsteegh, Mathieu, Munhoven, Pettersson, Renssen, Roche, Schaeffer, Tartinville, Timmermann, and Weber</label><mixed-citation>Goosse, H., Brovkin, V., Fichefet, T., Haarsma, R., Huybrechts, P., Jongma, J., Mouchet, A., Selten, F., Barriat, P.-Y., Campin, J.-M., Deleersnijder, E., Driesschaert, E., Goelzer, H., Janssens, I., Loutre, M.-F., Morales Maqueda, M. A., Opsteegh, T., Mathieu, P.-P., Munhoven, G., Pettersson, E. J., Renssen, H., Roche, D. M., Schaeffer, M., Tartinville, B., Timmermann, A., and Weber, S. L.: Description of the Earth system model of intermediate complexity LOVECLIM version 1.2, Geosci. Model. Dev., 3, 603–633, <ext-link xlink:href="https://doi.org/10.5194/gmd-3-603-2010" ext-link-type="DOI">10.5194/gmd-3-603-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Graven et al.(2017)Graven, Allison, Etheridge, Hammer, Keeling, Levin, Meijer, Rubino, Tans, Trudinger, Vaughn, and White</label><mixed-citation>Graven, H., Allison, C. E., Etheridge, D. M., Hammer, S., Keeling, R. F., Levin, I., Meijer, H. A. J., Rubino, M., Tans, P. P., Trudinger, C. M., Vaughn, B. H., and White, J. W. C.: Compiled records of carbon isotopes in atmospheric <inline-formula><mml:math id="M366" 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> for historical simulations in CMIP6, Geosci. Model. Dev., 10, 4405–4417, <ext-link xlink:href="https://doi.org/10.5194/gmd-10-4405-2017" ext-link-type="DOI">10.5194/gmd-10-4405-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Hajdas et al.(2021)Hajdas, Ascough, Garnett, Fallon, Pearson, Quarta, Spalding, Yamaguchi, and Yoneda</label><mixed-citation>Hajdas, I., Ascough, P., Garnett, M. H., Fallon, S. J., Pearson, C. L., Quarta, G., Spalding, K. L., Yamaguchi, H., and Yoneda, M.: Radiocarbon dating, Nature Reviews Methods Primers, 1, 62, <ext-link xlink:href="https://doi.org/10.1038/s43586-021-00058-7" ext-link-type="DOI">10.1038/s43586-021-00058-7</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Heaton et al.(2020a)Heaton, Köhler, Butzin, Bard, Reimer, Austin, Ramsey, Grootes, Hughen, Kromer, Reimer, Adkins, Burke, Cook, Olsen, and Skinner</label><mixed-citation>Heaton, T. J., Köhler, P., Butzin, M., Bard, E., Reimer, R. W., Austin, W. E., Ramsey, C. B., Grootes, P. M., Hughen, K. A., Kromer, B., Reimer, P. J., Adkins, J. F., Burke, A., Cook, M. S., Olsen, J., and Skinner, L. C.: Marine20 – the marine radiocarbon age calibration curve (0–55 000 <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cal</mml:mi></mml:mrow></mml:math></inline-formula> BP), simulated data for IntCal20, Pangaea [data set], <ext-link xlink:href="https://doi.org/10.1594/pangaea.914500" ext-link-type="DOI">10.1594/pangaea.914500</ext-link>, 2020a.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Heaton et al.(2020b)Heaton, Köhler, Butzin, Bard, Reimer, Austin, Ramsey, Grootes, Hughen, Kromer, Reimer, Adkins, Burke, Cook, Olsen, and Skinner</label><mixed-citation>Heaton, T. J., Köhler, P., Butzin, M., Bard, E., Reimer, R. W., Austin, W. E. N., Ramsey, C. B., Grootes, P. M., Hughen, K. A., Kromer, B., Reimer, P. J., Adkins, J., Burke, A., Cook, M. S., Olsen, J., and Skinner, L. C.: Marine20 – the marine radiocarbon age calibration curve (0–55 000 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cal</mml:mi></mml:mrow></mml:math></inline-formula> BP), Radiocarbon, 62, 779–820, <ext-link xlink:href="https://doi.org/10.1017/RDC.2020.68" ext-link-type="DOI">10.1017/RDC.2020.68</ext-link>, 2020b.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Heaton et al.(2021)Heaton, Bard, Ramsey, Butzin, Köhler, Muscheler, Reimer, and Wacker</label><mixed-citation>Heaton, T. J., Bard, E., Ramsey, C. B., Butzin, M., Köhler, P., Muscheler, R., Reimer, P. J., and Wacker, L.: Radiocarbon: a key tracer for studying the Earth's dynamo, climate system and carbon cycle and Sun, Science, 374, eabd7096, <ext-link xlink:href="https://doi.org/10.1126/science.abd7096" ext-link-type="DOI">10.1126/science.abd7096</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Heaton et al.(2023)Heaton, Butzin, Bard, Bronk Ramsey, Hughen, Köhler, and Reimer</label><mixed-citation>Heaton, T. J., Butzin, M., Bard, E., Bronk Ramsey, C., Hughen, K. A., Köhler, P., and Reimer, P. J.: Marine Radiocarbon Calibration in Polar Regions: A Simple Approximate Approach using Marine20, Radiocarbon, 65, 848–875, <ext-link xlink:href="https://doi.org/10.1017/RDC.2023.42" ext-link-type="DOI">10.1017/RDC.2023.42</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Henry et al.(2016)Henry, McManus, Curry, Roberts, Piotrowski, and Keigwin</label><mixed-citation>Henry, L. G., McManus, J. F., Curry, W. B., Roberts, N. L., Piotrowski, A. M., and Keigwin, L. D.: North Atlantic ocean circulation and abrupt climate change during the last glaciation, Science, 353, 470–474, <ext-link xlink:href="https://doi.org/10.1126/science.aaf5529" ext-link-type="DOI">10.1126/science.aaf5529</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Key et al.(2004)Key, Kozyr, Sabine, Lee, Wanninkhof, Bullister, Feely, Millero, Mordy, and Peng</label><mixed-citation>Key, R. M., Kozyr, A., Sabine, C. L., Lee, K., Wanninkhof, R., Bullister, J. L., Feely, R. A., Millero, F. J., Mordy, C., and Peng, T.-H.: A global ocean carbon climatology: results from global data analysis project (GLODAP), Global Biogeochem. Cy., 18, GB4031, <ext-link xlink:href="https://doi.org/10.1029/2004GB002247" ext-link-type="DOI">10.1029/2004GB002247</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Kimoto(2015)</label><mixed-citation>Kimoto, K.: Planktic Foraminifera, Springer Japan, Tokyo, 129–178, <ext-link xlink:href="https://doi.org/10.1007/978-4-431-55130-0_7" ext-link-type="DOI">10.1007/978-4-431-55130-0_7</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Köhler and Mulitza(2024)</label><mixed-citation>Köhler, P. and Mulitza, S.: No detectable influence of the carbonate ion effect on changes in stable carbon isotope ratios (<inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) of shallow dwelling planktic foraminifera over the past 160 kyr, Clim. Past, 20, 991–1015, <ext-link xlink:href="https://doi.org/10.5194/cp-20-991-2024" ext-link-type="DOI">10.5194/cp-20-991-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Köhler and Munhoven(2020)</label><mixed-citation>Köhler, P. and Munhoven, G.: Late Pleistocene carbon cycle revisited by considering solid Earth processes, Paleoceanography and Paleoclimatology, 35, e2020PA004020, <ext-link xlink:href="https://doi.org/10.1029/2020PA004020" ext-link-type="DOI">10.1029/2020PA004020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Köhler et al.(2006)Köhler, Muscheler, and Fischer</label><mixed-citation>Köhler, P., Muscheler, R., and Fischer, H.: A model-based interpretation of low frequency changes in the carbon cycle during the last 120 000 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> and its implications for the reconstruction of atmospheric <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, Geochem. Geophy. Geosy., 7, Q11N06, <ext-link xlink:href="https://doi.org/10.1029/2005GC001228" ext-link-type="DOI">10.1029/2005GC001228</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Köhler et al.(2017)Köhler, Nehrbass-Ahles, Schmitt, Stocker, and Fischer</label><mixed-citation>Köhler, P., Nehrbass-Ahles, C., Schmitt, J., Stocker, T. F., and Fischer, H.: A 156 kyr smoothed history of the atmospheric greenhouse gases <inline-formula><mml:math id="M372" 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="M373" 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>, and <inline-formula><mml:math id="M374" 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> and their radiative forcing, Earth Syst. Sci. Data, 9, 363–387, <ext-link xlink:href="https://doi.org/10.5194/essd-9-363-2017" ext-link-type="DOI">10.5194/essd-9-363-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Köhler et al.(2022)Köhler, Adolphi, Butzin, and Muscheler</label><mixed-citation>Köhler, P., Adolphi, F., Butzin, M., and Muscheler, R.: Toward reconciling radiocarbon production rates with carbon cycle changes of the last 55 000 <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>, Paleoceanography and Paleoclimatology, 37, e2021PA004314, <ext-link xlink:href="https://doi.org/10.1029/2021PA004314" ext-link-type="DOI">10.1029/2021PA004314</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Köhler et al.(2024a)Köhler, Skinner, and Adolphi</label><mixed-citation>Köhler, P., Skinner, L. C., and Adolphi, F.: Radiocarbon cycle revisited by considering the bipolar seesaw and benthic <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data, Earth Planet. Sc. Lett., 640, 118801, <ext-link xlink:href="https://doi.org/10.1016/j.epsl.2024.118801" ext-link-type="DOI">10.1016/j.epsl.2024.118801</ext-link>, 2024a.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Köhler et al.(2024b)Köhler, Skinner, and Adolphi</label><mixed-citation>Köhler, P., Skinner, L. C., and Adolphi, F.: Splines of reconstructed deep ocean <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages over that last 25 <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula> and simulation results of the carbon and radiocarbon cycle across the last 55 <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula>, Pangaea [data set], <ext-link xlink:href="https://doi.org/10.1594/pangaea.967149" ext-link-type="DOI">10.1594/pangaea.967149</ext-link>, 2024b.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Köhler et al.(2026)Köhler, Menviel, Pöppelmeier, Heaton, Bard, and Skinner</label><mixed-citation>Köhler, P., Menviel, L., Pöppelmeier, F., Heaton, T. J., Bard, E., and Skinner, L. C.: Simulation results of 2 EMICs for marine reservoir age determination using <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> during the last 55 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:math></inline-formula>, Pangaea [data set], <ext-link xlink:href="https://doi.org/10.1594/pangaea.987388" ext-link-type="DOI">10.1594/pangaea.987388</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Lambert et al.(2012)Lambert, Bigler, Steffensen, Hutterli, and Fischer</label><mixed-citation>Lambert, F., Bigler, M., Steffensen, J. P., Hutterli, M., and Fischer, H.: Centennial mineral dust variability in high-resolution ice core data from Dome C, Antarctica, Clim. Past, 8, 609–623, <ext-link xlink:href="https://doi.org/10.5194/cp-8-609-2012" ext-link-type="DOI">10.5194/cp-8-609-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Lisiecki and Raymo(2005)</label><mixed-citation>Lisiecki, L. E. and Raymo, M. E.: A Pliocene-Pleistocene stack of 57 globally distributed benthic <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> records, Paleoceanography, 20, PA1003, <ext-link xlink:href="https://doi.org/10.1029/2004PA001071" ext-link-type="DOI">10.1029/2004PA001071</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Martrat et al.(2007)Martrat, Grimalt, Shackleton, de Abreu, Hutterli, and Stocker</label><mixed-citation>Martrat, B., Grimalt, J. O., Shackleton, N. J., de Abreu, L., Hutterli, M. A., and Stocker, T. F.: Four climate cycles of recurring deep and surface water destabilizations on the Iberian Margin, Science, 317, 502–507, <ext-link xlink:href="https://doi.org/10.1126/science.1139994" ext-link-type="DOI">10.1126/science.1139994</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Mârza et al.(2024)Mârza, Menviel, and Skinner</label><mixed-citation>Mârza, A.-C., Menviel, L., and Skinner, L. C.: Towards the construction of regional marine radiocarbon calibration curves: an unsupervised machine learning approach, Geochronology, 6, 503–519, <ext-link xlink:href="https://doi.org/10.5194/gchron-6-503-2024" ext-link-type="DOI">10.5194/gchron-6-503-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Menking et al.(2022)Menking, Shackleton, Bauska, Buffen, Brook, Barker, Severinghaus, Dyonisius, and Petrenko</label><mixed-citation>Menking, J. A., Shackleton, S. A., Bauska, T. K., Buffen, A. M., Brook, E. J., Barker, S., Severinghaus, J. P., Dyonisius, M. N., and Petrenko, V. V.: Multiple carbon cycle mechanisms associated with the glaciation of Marine Isotope Stage 4, Nat. Commun., 13, 5443, <ext-link xlink:href="https://doi.org/10.1038/s41467-022-33166-3" ext-link-type="DOI">10.1038/s41467-022-33166-3</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Menviel et al.(2014)Menviel, Timmermann, Friedrich, and England</label><mixed-citation>Menviel, L., Timmermann, A., Friedrich, T., and England, M. H.: Hindcasting the continuum of Dansgaard–Oeschger variability: mechanisms, patterns and timing, Clim. Past, 10, 63–77, <ext-link xlink:href="https://doi.org/10.5194/cp-10-63-2014" ext-link-type="DOI">10.5194/cp-10-63-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Menviel et al.(2019)Menviel, Capron, Govin, Dutton, Tarasov, Abe-Ouchi, Drysdale, Gibbard, Gregoire, He, Ivanovic, Kageyama, Kawamura, Landais, Otto-Bliesner, Oyabu, Tzedakis, Wolff, and Zhang</label><mixed-citation>Menviel, L., Capron, E., Govin, A., Dutton, A., Tarasov, L., Abe-Ouchi, A., Drysdale, R. N., Gibbard, P. L., Gregoire, L., He, F., Ivanovic, R. F., Kageyama, M., Kawamura, K., Landais, A., Otto-Bliesner, B. L., Oyabu, I., Tzedakis, P. C., Wolff, E., and Zhang, X.: The penultimate deglaciation: protocol for Paleoclimate Modelling Intercomparison Project (PMIP) phase 4 transient numerical simulations between 140 and 127 ka, version 1.0, Geosci. Model. Dev., 12, 3649–3685, <ext-link xlink:href="https://doi.org/10.5194/gmd-12-3649-2019" ext-link-type="DOI">10.5194/gmd-12-3649-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Menviel et al.(2021)Menviel, Govin, Avenas, Meissner, Grant, and Tzedakis</label><mixed-citation>Menviel, L., Govin, A., Avenas, A., Meissner, K. J., Grant, K. M., and Tzedakis, P. C.: Drivers of the evolution and amplitude of African Humid Periods, Communications Earth &amp; Environment, 2, 237, <ext-link xlink:href="https://doi.org/10.1038/s43247-021-00309-1" ext-link-type="DOI">10.1038/s43247-021-00309-1</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Menviel et al.(2020)Menviel, Skinner, Tarasov, and Tzedakis</label><mixed-citation>Menviel, L. C., Skinner, L. C., Tarasov, L., and Tzedakis, P. C.: An ice–climate oscillatory framework for Dansgaard–Oeschger cycles, Nature Reviews Earth &amp; Environment, 1, 677–693, <ext-link xlink:href="https://doi.org/10.1038/s43017-020-00106-y" ext-link-type="DOI">10.1038/s43017-020-00106-y</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>NGRIP Members(2004)</label><mixed-citation>NGRIP Members: High-resolution record of Northern Hemisphere climate extending into the last interglacial period, Nature, 431, 147–151, <ext-link xlink:href="https://doi.org/10.1038/nature02805" ext-link-type="DOI">10.1038/nature02805</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Oeschger et al.(1975)Oeschger, Siegenthaler, Schotterer, and Gugelmann</label><mixed-citation>Oeschger, H., Siegenthaler, U., Schotterer, U., and Gugelmann, A.: A box diffusion model to study the carbon dioxide exchange in nature, Tellus, 27, 168–192, <ext-link xlink:href="https://doi.org/10.3402/tellusa.v27i2.9900" ext-link-type="DOI">10.3402/tellusa.v27i2.9900</ext-link>, 1975.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Orr et al.(2017)Orr, Najjar, Aumont, Bopp, Bullister, Danabasoglu, Doney, Dunne, Dutay, Graven, Griffies, John, Joos, Levin, Lindsay, Matear, McKinley, Mouchet, Oschlies, Romanou, Schlitzer, Tagliabue, Tanhua, and Yool</label><mixed-citation>Orr, J. C., Najjar, R. G., Aumont, O., Bopp, L., Bullister, J. L., Danabasoglu, G., Doney, S. C., Dunne, J. P., Dutay, J.-C., Graven, H., Griffies, S. M., John, J. G., Joos, F., Levin, I., Lindsay, K., Matear, R. J., McKinley, G. A., Mouchet, A., Oschlies, A., Romanou, A., Schlitzer, R., Tagliabue, A., Tanhua, T., and Yool, A.: Biogeochemical protocols and diagnostics for the CMIP6 Ocean Model Intercomparison Project (OMIP), Geosci. Model. Dev., 10, 2169–2199, <ext-link xlink:href="https://doi.org/10.5194/gmd-10-2169-2017" ext-link-type="DOI">10.5194/gmd-10-2169-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Parekh et al.(2008)Parekh, Joos, and Müller</label><mixed-citation>Parekh, P., Joos, F., and Müller, S. A.: A modeling assessment of the interplay between aeolian iron fluxes and iron-binding ligands in controlling carbon dioxide fluctuations during Antarctic warm events, Paleoceanography, 23, PA4202, <ext-link xlink:href="https://doi.org/10.1029/2007PA001531" ext-link-type="DOI">10.1029/2007PA001531</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Pedro et al.(2022)Pedro, Andersson, Vettoretti, Voelker, Waelbroeck, Dokken, Jensen, Rasmussen, Sessford, Jochum, and Nisancioglu</label><mixed-citation>Pedro, J., Andersson, C., Vettoretti, G., Voelker, A., Waelbroeck, C., Dokken, T., Jensen, M., Rasmussen, S., Sessford, E., Jochum, M., and Nisancioglu, K.: Dansgaard-Oeschger and Heinrich event temperature anomalies in the North Atlantic set by sea ice, frontal position and thermocline structure, Quaternary Sci. Rev., 289, 107599, <ext-link xlink:href="https://doi.org/10.1016/j.quascirev.2022.107599" ext-link-type="DOI">10.1016/j.quascirev.2022.107599</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Peltier(1994)</label><mixed-citation>Peltier, W. R.: Ice Age Paleotopography, Science, 265, <ext-link xlink:href="https://doi.org/10.1126/science.265.5169.195" ext-link-type="DOI">10.1126/science.265.5169.195</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Peltier et al.(2015)Peltier, Argus, and Drummond</label><mixed-citation>Peltier, W. R., Argus, D. F., and Drummond, R.: Space geodesy constrains ice age terminal deglaciation: The global ICE-6G_C (VM5a) model, J. Geophys. Res.-Sol. Ea., 120, 450–487, <ext-link xlink:href="https://doi.org/10.1002/2014JB011176" ext-link-type="DOI">10.1002/2014JB011176</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Pöppelmeier et al.(2023a)Pöppelmeier, Jeltsch-Thömmes, Lippold, Joos, and Stocker</label><mixed-citation>Pöppelmeier, F., Jeltsch-Thömmes, A., Lippold, J., Joos, F., and Stocker, T. F.: Multi-proxy constraints on Atlantic circulation dynamics since the last ice age, Nat. Geosci., 16, 349–356, <ext-link xlink:href="https://doi.org/10.1038/s41561-023-01140-3" ext-link-type="DOI">10.1038/s41561-023-01140-3</ext-link>, 2023a.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Pöppelmeier et al.(2023b)Pöppelmeier, Joos, and Stocker</label><mixed-citation>Pöppelmeier, F., Joos, F., and Stocker, T. F.: The Coupled Ice Sheet–Earth System Model Bern3D v3.0, J. Climate, 36, 7563–7582, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-23-0104.1" ext-link-type="DOI">10.1175/JCLI-D-23-0104.1</ext-link>, 2023b.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Rasmussen et al.(2014)Rasmussen, Bigler, Blockley, Blunier, Buchardt, Clausen, Cvijanovic, Dahl-Jensen, Johnsen, Fischer, Gkinis, Guillevic, Hoek, Lowe, Pedro, Popp, Seierstad, Steffensen, Svensson, Vallelonga, Vinther, Walker, Wheatley, and Winstrup</label><mixed-citation>Rasmussen, S. O., Bigler, M., Blockley, S. P., Blunier, T., Buchardt, S. L., Clausen, H. B., Cvijanovic, I., Dahl-Jensen, D., Johnsen, S. J., Fischer, H., Gkinis, V., Guillevic, M., Hoek, W. Z., Lowe, J. J., Pedro, J. B., Popp, T., Seierstad, I. K., Steffensen, J. P., Svensson, A. M., Vallelonga, P., Vinther, B. M., Walker, M. J., Wheatley, J. J., and Winstrup, M.: A stratigraphic framework for abrupt climatic changes during the Last Glacial period based on three synchronized Greenland ice-core records: refining and extending the INTIMATE event stratigraphy, Quaternary Sci. Rev., 106, 14–28, <ext-link xlink:href="https://doi.org/10.1016/j.quascirev.2014.09.007" ext-link-type="DOI">10.1016/j.quascirev.2014.09.007</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Reimer and Reimer(2001)</label><mixed-citation>Reimer, P. J. and Reimer, R. W.: A Marine Reservoir Correction Database and On-Line Interface, Radiocarbon, 43, 461–463, <ext-link xlink:href="https://doi.org/10.1017/S0033822200038339" ext-link-type="DOI">10.1017/S0033822200038339</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Reimer et al.(2020)Reimer, Austin, Bard, Bayliss, Blackwell, Bronk Ramsey, Butzin, Cheng, Edwards, Friedrich, Grootes, Guilderson, Hajdas, Heaton, Hogg, Hughen, Kromer, Manning, Muscheler, Palmer, Pearson, van der Plicht, Reimer, Richards, Scott, Southon, Turney, Wacker, Adophi, Büntgen, Capano, Fahrni, Fogtmann-Schulz, Friedrich, Köhler, Kudsk, Miyake, Olsen, Reinig, Sakamoto, Sookdeo, and Talamo</label><mixed-citation>Reimer, P. J., Austin, W. E. N., Bard, E., Bayliss, A., Blackwell, P. G., Bronk Ramsey, C., Butzin, M., Cheng, H., Edwards, R. L., Friedrich, M., Grootes, P. M., Guilderson, T. P., Hajdas, I., Heaton, T. J., Hogg, A. G., Hughen, K. A., Kromer, B., Manning, S. W., Muscheler, R., Palmer, J. G., Pearson, C., van der Plicht, H., Reimer, R. W., Richards, D. A., Scott, E. M., Southon, J. R., Turney, C. S. M., Wacker, L., Adophi, F., Büntgen, U., Capano, M., Fahrni, S., Fogtmann-Schulz, A., Friedrich, R., Köhler, P., Kudsk, S., Miyake, F., Olsen, J., Reinig, F., Sakamoto, M., Sookdeo, A., and Talamo, S.: The IntCal20 Northern Hemisphere radiocarbon age calibration curve (0–55 <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cal</mml:mi></mml:mrow></mml:math></inline-formula> kBP), Radiocarbon, 62, 725–757, <ext-link xlink:href="https://doi.org/10.1017/RDC.2020.41" ext-link-type="DOI">10.1017/RDC.2020.41</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Rubin and Key(2002)</label><mixed-citation>Rubin, S. I. and Key, R. M.: Separating natural and bomb-produced radiocarbon in the ocean: The potential alkalinity method, Global Biogeochem. Cy., 16, 52-1–52-19, <ext-link xlink:href="https://doi.org/10.1029/2001GB001432" ext-link-type="DOI">10.1029/2001GB001432</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>Siani et al.(2013)Siani, Michel, De Pol-Holz, DeVries, Lamy, Carel, Isguder, Dewilde, and Lourantou</label><mixed-citation>Siani, G., Michel, E., De Pol-Holz, R., DeVries, T., Lamy, F., Carel, M., Isguder, G., Dewilde, F., and Lourantou, A.: Carbon isotope records reveal precise timing of enhanced Southern Ocean upwelling during the last deglaciation, Nat. Commun., 4, 2758, <ext-link xlink:href="https://doi.org/10.1038/ncomms3758" ext-link-type="DOI">10.1038/ncomms3758</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Simon et al.(2020)Simon, Thouveny, Bourlès, Valet, and Bassinot</label><mixed-citation>Simon, Q., Thouveny, N., Bourlès, D. L., Valet, J.-P., and Bassinot, F.: Cosmogenic <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> production records reveal dynamics of geomagnetic dipole moment (GDM) over the Laschamp excursion (20–60 ka), Earth Planet. Sc. Lett., 550, 116547, <ext-link xlink:href="https://doi.org/10.1016/j.epsl.2020.116547" ext-link-type="DOI">10.1016/j.epsl.2020.116547</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Skinner et al.(2023)Skinner, Primeau, Letsch-Thömmes, Joos, Köhler, and Bard</label><mixed-citation>Skinner, L., Primeau, F., Jeltsch-Thömmes, A., Joos, F., Köhler, P., and Bard, E.: Rejuvenating the ocean: mean ocean radiocarbon, <inline-formula><mml:math id="M385" 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> release, and radiocarbon budget closure across the last deglaciation, Clim. Past, 19, 2177–2202, <ext-link xlink:href="https://doi.org/10.5194/cp-19-2177-2023" ext-link-type="DOI">10.5194/cp-19-2177-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Skinner and Bard(2022)</label><mixed-citation>Skinner, L. C. and Bard, E.: Radiocarbon as a Dating Tool and Tracer in Paleoceanography, Rev. Geophys., 60, e2020RG000720, <ext-link xlink:href="https://doi.org/10.1029/2020RG000720" ext-link-type="DOI">10.1029/2020RG000720</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>Skinner et al.(2014)Skinner, Waelbroeck, Scrivner, and Fallon</label><mixed-citation>Skinner, L. C., Waelbroeck, C., Scrivner, A. E., and Fallon, S. J.: Radiocarbon evidence for alternating northern and southern sources of ventilation of the deep Atlantic carbon pool during the last deglaciation, P. Natl. Acad. Sci. USA, 111, 5480–5484, <ext-link xlink:href="https://doi.org/10.1073/pnas.1400668111" ext-link-type="DOI">10.1073/pnas.1400668111</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Skinner et al.(2019)Skinner, Muschitiello, and Scrivner</label><mixed-citation>Skinner, L. C., Muschitiello, F., and Scrivner, A. E.: Marine Reservoir Age Variability Over the Last Deglaciation: Implications for Marine Carbon Cycling and Prospects for Regional Radiocarbon Calibrations, Paleoceanography and Paleoclimatology, 34, 1807–1815, <ext-link xlink:href="https://doi.org/10.1029/2019PA003667" ext-link-type="DOI">10.1029/2019PA003667</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>Skinner et al.(2021)Skinner, Freeman, Hodell, Waelbroeck, Vazquez Riveiros, and Scrivner</label><mixed-citation>Skinner, L. C., Freeman, E., Hodell, D., Waelbroeck, C., Vazquez Riveiros, N., and Scrivner, A. E.: Atlantic Ocean Ventilation Changes Across the Last Deglaciation and Their Carbon Cycle Implications, Paleoceanography and Paleoclimatology, 36, e2020PA004074, <ext-link xlink:href="https://doi.org/10.1029/2020PA004074" ext-link-type="DOI">10.1029/2020PA004074</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>Soulet et al.(2016)Soulet, Skinner, Beaupré, and Galy</label><mixed-citation>Soulet, G., Skinner, L. C., Beaupré, S. R., and Galy, V.: A Note on Reporting of Reservoir <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> Disequilibria and Age Offsets, Radiocarbon, 58, 205–211, <ext-link xlink:href="https://doi.org/10.1017/RDC.2015.22" ext-link-type="DOI">10.1017/RDC.2015.22</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx64"><label>Stern and Lisiecki(2013)</label><mixed-citation>Stern, J. V. and Lisiecki, L. E.: North Atlantic circulation and reservoir age changes over the past 41 000 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>, Geophys. Res. Lett., 40, 3693–3697, <ext-link xlink:href="https://doi.org/10.1002/grl.50679" ext-link-type="DOI">10.1002/grl.50679</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx65"><label>Stocker and Johnsen(2003)</label><mixed-citation>Stocker, T. F. and Johnsen, S. J.: A minimum thermodynamic model for the bipolar seesaw, Paleoceanography, 18, 1087, <ext-link xlink:href="https://doi.org/10.1029/2003PA000920" ext-link-type="DOI">10.1029/2003PA000920</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx66"><label>Stuiver and Quay(1981)</label><mixed-citation>Stuiver, M. and Quay, P. D.: Atmospheric <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> changes resulting from fossil fuel <inline-formula><mml:math id="M389" 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> release and cosmic ray flux variability, Earth Planet. Sc. Lett., 53, 349–362, <ext-link xlink:href="https://doi.org/10.1016/0012-821X(81)90040-6" ext-link-type="DOI">10.1016/0012-821X(81)90040-6</ext-link>, 1981.</mixed-citation></ref>
      <ref id="bib1.bibx67"><label>Stuiver et al.(1986)Stuiver, Pearson, and Braziunas</label><mixed-citation>Stuiver, M., Pearson, G. W., and Braziunas, T.: Radiocarbon age calibration of marine samples back to 9000 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cal</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">yr</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, Radiocarbon, 28, 980–1021, <ext-link xlink:href="https://doi.org/10.1017/S0033822200060264" ext-link-type="DOI">10.1017/S0033822200060264</ext-link>, 1986.</mixed-citation></ref>
      <ref id="bib1.bibx68"><label>Suess(1955)</label><mixed-citation>Suess, H. E.: Radiocarbon Concentration in Modern Wood, Science, 122, 415–417, <ext-link xlink:href="https://doi.org/10.1126/science.122.3166.415-a" ext-link-type="DOI">10.1126/science.122.3166.415-a</ext-link>, 1955.</mixed-citation></ref>
      <ref id="bib1.bibx69"><label>Tierney et al.(2020)Tierney, Zhu, King, Malevich, Hakim, and Poulsen</label><mixed-citation>Tierney, J. E., Zhu, J., King, J., Malevich, S. B., Hakim, G. J., and Poulsen, C. J.: Glacial cooling and climate sensitivity revisited, Nature, 584, 569–573, <ext-link xlink:href="https://doi.org/10.1038/s41586-020-2617-x" ext-link-type="DOI">10.1038/s41586-020-2617-x</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx70"><label>Tschumi et al.(2008)Tschumi, Joos, and Parekh</label><mixed-citation>Tschumi, T., Joos, F., and Parekh, P.: How important are Southern Hemisphere wind changes for low glacial carbon dioxide? A model study, Paleoceanography, 23, PA4208, <ext-link xlink:href="https://doi.org/10.1029/2008PA001592" ext-link-type="DOI">10.1029/2008PA001592</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx71"><label>Wu et al.(2022)Wu, Mollenhauer, Stein, Köhler, Hefter, Fahl, Grotheer, Wei, and Nam</label><mixed-citation>Wu, J., Mollenhauer, G., Stein, R., Köhler, P., Hefter, J., Fahl, K., Grotheer, H., Wei, B., and Nam, S.-I.: Deglacial release of petrogenic and permafrost carbon from the Canadian Arctic impacting the carbon cycle, Nat. Commun., 13, 7172, <ext-link xlink:href="https://doi.org/10.1038/s41467-022-34725-4" ext-link-type="DOI">10.1038/s41467-022-34725-4</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx72"><label>Zhang et al.(2014)Zhang, Lohmann, Knorr, and Purcell</label><mixed-citation>Zhang, X., Lohmann, G., Knorr, G., and Purcell, C.: Abrupt glacial climate shifts controlled by ice sheet changes, Nature, 512, 290–294, <ext-link xlink:href="https://doi.org/10.1038/nature13592" ext-link-type="DOI">10.1038/nature13592</ext-link>, 2014.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>A model intercomparison of radiocarbon-based marine reservoir ages during the last 55&thinsp;kyr including abrupt changes in the Atlantic Meridional Overturning Circulation</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Abe-Ouchi et al.(2007)Abe-Ouchi, Segawa, and Saito</label><mixed-citation>
       Abe-Ouchi, A., Segawa, T., and Saito, F.: Climatic Conditions for modelling the Northern Hemisphere ice sheets throughout the ice age cycle, Clim. Past, 3, 423–438, <a href="https://doi.org/10.5194/cp-3-423-2007" target="_blank">https://doi.org/10.5194/cp-3-423-2007</a>, 2007. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Annan et al.(2022)Annan, Hargreaves, and Mauritsen</label><mixed-citation>
       Annan, J. D., Hargreaves, J. C., and Mauritsen, T.: A new global surface temperature reconstruction for the Last Glacial Maximum, Clim. Past, 18, 1883–1896, <a href="https://doi.org/10.5194/cp-18-1883-2022" target="_blank">https://doi.org/10.5194/cp-18-1883-2022</a>, 2022. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Bard(1988)</label><mixed-citation>
       Bard, E.: Correction of accelerator mass spectrometry <sup>14</sup>C ages measured in planktonic foraminifera: Paleoceanographic implications, Paleoceanography, 3, 635–645, <a href="https://doi.org/10.1029/PA003i006p00635" target="_blank">https://doi.org/10.1029/PA003i006p00635</a>, 1988.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Barker et al.(2009)Barker, Diz, Vantravers, Pike, Knorr, Hall, and Broecker</label><mixed-citation>
       Barker, S., Diz, P., Vantravers, M. J., Pike, J., Knorr, G., Hall, I. R., and Broecker, W. S.: Interhemispheric Atlantic seesaw response during the last deglaciation, Nature, 457, 1007–1102, <a href="https://doi.org/10.1038/nature07770" target="_blank">https://doi.org/10.1038/nature07770</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Bereiter et al.(2015)Bereiter, Eggleston, Schmitt, Nehrbass-Ahles, Stocker, Fischer, Kipfstuhl, and Chappellaz</label><mixed-citation>
       Bereiter, B., Eggleston, S., Schmitt, J., Nehrbass-Ahles, C., Stocker, T. F., Fischer, H., Kipfstuhl, S., and Chappellaz, J.: Revision of the EPICA Dome C CO<sub>2</sub> record from 800 to 600&thinsp;kyr before present, Geophys. Res. Lett., 42, 542–549, <a href="https://doi.org/10.1002/2014GL061957" target="_blank">https://doi.org/10.1002/2014GL061957</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Berger(1978)</label><mixed-citation>
       Berger, A. L.: Long-term variations of daily insolation and Quaternary climatic changes, J. Atmos. Sci., 35, 2362–2367, <a href="https://doi.org/10.1175/1520-0469(1978)035&lt;2362:LTVODI&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0469(1978)035&lt;2362:LTVODI&gt;2.0.CO;2</a>, 1978.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Bevington(1969)</label><mixed-citation>
       Bevington, P. R.: Data Reduction and Error Analysis for the Physical Sciences, McGraw Hill, ISBN10 0070051356, 1969.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Blunier and Brook(2001)</label><mixed-citation>
       Blunier, T. and Brook, E. J.: Timing of millennial-scale climate change in Antarctica and Greenland during the last glacial period, Science, 291, 109–112, <a href="https://doi.org/10.1126/science.291.5501.109" target="_blank">https://doi.org/10.1126/science.291.5501.109</a>, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Butzin et al.(2005)Butzin, Prange, and Lohmann</label><mixed-citation>
       Butzin, M., Prange, M., and Lohmann, G.: Radiocarbon simulations for the glacial ocean: the effects of wind stress, Southern Ocean sea ice and Heinrich events, Earth Planet. Sc. Lett., 235, 45–61, <a href="https://doi.org/10.1016/j.epsl.2005.03.003" target="_blank">https://doi.org/10.1016/j.epsl.2005.03.003</a>, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Butzin et al.(2019)Butzin, Heaton, Köhler, and Lohmann</label><mixed-citation>
       Butzin, M., Heaton, T. J., Köhler, P., and Lohmann, G.: Marine radiocarbon reservoir ages simulated for IntCal20, link to model results in NetCDF format, Pangaea [data set], <a href="https://doi.org/10.1594/pangaea.902301" target="_blank">https://doi.org/10.1594/pangaea.902301</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Butzin et al.(2020)Butzin, Heaton, Köhler, and Lohmann</label><mixed-citation>
       Butzin, M., Heaton, T. J., Köhler, P., and Lohmann, G.: A short note on marine reservoir age simulations used in IntCal20, Radiocarbon, 62, 865–871, <a href="https://doi.org/10.1017/RDC.2020.9" target="_blank">https://doi.org/10.1017/RDC.2020.9</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Cooper et al.(2021)Cooper, Turney, Palmer, Hogg, McGlone, Wilmshurst, Lorrey, Heaton, Russell, McCracken, Anet, Rozanov, Friedel, Suter, Peter, Muscheler, Adolphi, Dosseto, Faith, Fenwick, Fogwill, Hughen, Lipson, Liu, Nowaczyk, Rainsley, Bronk Ramsey, Sebastianelli, Souilmi, Stevenson, Thomas, Tobler, and Zech</label><mixed-citation>
       Cooper, A., Turney, C. S. M., Palmer, J., Hogg, A., McGlone, M., Wilmshurst, J., Lorrey, A. M., Heaton, T. J., Russell, J. M., McCracken, K., Anet, J. G., Rozanov, E., Friedel, M., Suter, I., Peter, T., Muscheler, R., Adolphi, F., Dosseto, A., Faith, J. T., Fenwick, P., Fogwill, C. J., Hughen, K., Lipson, M., Liu, J., Nowaczyk, N., Rainsley, E., Bronk Ramsey, C., Sebastianelli, P., Souilmi, Y., Stevenson, J., Thomas, Z., Tobler, R., and Zech, R.: A global environmental crisis 42&thinsp;000 years ago, Science, 371, 811–818, <a href="https://doi.org/10.1126/science.abb8677" target="_blank">https://doi.org/10.1126/science.abb8677</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Davtian and Bard(2023)</label><mixed-citation>
       Davtian, N. and Bard, E.: A new view on abrupt climate changes and the bipolar seesaw based on paleotemperatures from Iberian Margin sediments, P. Natl. Acad. Sci. USA, 120, e2209558120, <a href="https://doi.org/10.1073/pnas.2209558120" target="_blank">https://doi.org/10.1073/pnas.2209558120</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>de Boyer-Montégut et al.(2004)de Boyer-Montégut, Madec, Fischer, Lazar, and Iudicone</label><mixed-citation>
       de Boyer-Montégut, C., Madec, G., Fischer, A. S., Lazar, A., and Iudicone, D.: Mixed layer depth over the global ocean: An examination of profile data and a profile-based climatology, J. Geophys. Res.-Oceans, 109, <a href="https://doi.org/10.1029/2004JC002378" target="_blank">https://doi.org/10.1029/2004JC002378</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>de la Fuente et al.(2015)de la Fuente, Skinner, Calvo, Pelejero, and Cacho</label><mixed-citation>
       de la Fuente, M., Skinner, L., Calvo, E., Pelejero, C., and Cacho, I.: Increased reservoir ages and poorly ventilated deep waters inferred in the glacial Eastern Equatorial Pacific, Nat. Commun., 6, 7420, <a href="https://doi.org/10.1038/ncomms8420" target="_blank">https://doi.org/10.1038/ncomms8420</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Goosse et al.(2010)Goosse, Brovkin, Fichefet, Haarsma, Huybrechts, Jongma, Mouchet, Selten, Barriat, Campin, Deleersnijder, Driesschaert, Goelzer, Janssens, Loutre, Morales Maqueda, Opsteegh, Mathieu, Munhoven, Pettersson, Renssen, Roche, Schaeffer, Tartinville, Timmermann, and Weber</label><mixed-citation>
       Goosse, H., Brovkin, V., Fichefet, T., Haarsma, R., Huybrechts, P., Jongma, J., Mouchet, A., Selten, F., Barriat, P.-Y., Campin, J.-M., Deleersnijder, E., Driesschaert, E., Goelzer, H., Janssens, I., Loutre, M.-F., Morales Maqueda, M. A., Opsteegh, T., Mathieu, P.-P., Munhoven, G., Pettersson, E. J., Renssen, H., Roche, D. M., Schaeffer, M., Tartinville, B., Timmermann, A., and Weber, S. L.: Description of the Earth system model of intermediate complexity LOVECLIM version 1.2, Geosci. Model. Dev., 3, 603–633, <a href="https://doi.org/10.5194/gmd-3-603-2010" target="_blank">https://doi.org/10.5194/gmd-3-603-2010</a>, 2010. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Graven et al.(2017)Graven, Allison, Etheridge, Hammer, Keeling, Levin, Meijer, Rubino, Tans, Trudinger, Vaughn, and White</label><mixed-citation>
       Graven, H., Allison, C. E., Etheridge, D. M., Hammer, S., Keeling, R. F., Levin, I., Meijer, H. A. J., Rubino, M., Tans, P. P., Trudinger, C. M., Vaughn, B. H., and White, J. W. C.: Compiled records of carbon isotopes in atmospheric CO<sub>2</sub> for historical simulations in CMIP6, Geosci. Model. Dev., 10, 4405–4417, <a href="https://doi.org/10.5194/gmd-10-4405-2017" target="_blank">https://doi.org/10.5194/gmd-10-4405-2017</a>, 2017. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Hajdas et al.(2021)Hajdas, Ascough, Garnett, Fallon, Pearson, Quarta, Spalding, Yamaguchi, and Yoneda</label><mixed-citation>
       Hajdas, I., Ascough, P., Garnett, M. H., Fallon, S. J., Pearson, C. L., Quarta, G., Spalding, K. L., Yamaguchi, H., and Yoneda, M.: Radiocarbon dating, Nature Reviews Methods Primers, 1, 62, <a href="https://doi.org/10.1038/s43586-021-00058-7" target="_blank">https://doi.org/10.1038/s43586-021-00058-7</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Heaton et al.(2020a)Heaton, Köhler, Butzin, Bard, Reimer, Austin, Ramsey, Grootes, Hughen, Kromer, Reimer, Adkins, Burke, Cook, Olsen, and Skinner</label><mixed-citation>
       Heaton, T. J., Köhler, P., Butzin, M., Bard, E., Reimer, R. W., Austin, W. E., Ramsey, C. B., Grootes, P. M., Hughen, K. A., Kromer, B., Reimer, P. J., Adkins, J. F., Burke, A., Cook, M. S., Olsen, J., and Skinner, L. C.: Marine20 – the marine radiocarbon age calibration curve (0–55&thinsp;000&thinsp;cal&thinsp;BP), simulated data for IntCal20, Pangaea [data set], <a href="https://doi.org/10.1594/pangaea.914500" target="_blank">https://doi.org/10.1594/pangaea.914500</a>, 2020a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Heaton et al.(2020b)Heaton, Köhler, Butzin, Bard, Reimer, Austin, Ramsey, Grootes, Hughen, Kromer, Reimer, Adkins, Burke, Cook, Olsen, and Skinner</label><mixed-citation>
       Heaton, T. J., Köhler, P., Butzin, M., Bard, E., Reimer, R. W., Austin, W. E. N., Ramsey, C. B., Grootes, P. M., Hughen, K. A., Kromer, B., Reimer, P. J., Adkins, J., Burke, A., Cook, M. S., Olsen, J., and Skinner, L. C.: Marine20 – the marine radiocarbon age calibration curve (0–55&thinsp;000&thinsp;cal&thinsp;BP), Radiocarbon, 62, 779–820, <a href="https://doi.org/10.1017/RDC.2020.68" target="_blank">https://doi.org/10.1017/RDC.2020.68</a>, 2020b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Heaton et al.(2021)Heaton, Bard, Ramsey, Butzin, Köhler, Muscheler, Reimer, and Wacker</label><mixed-citation>
       Heaton, T. J., Bard, E., Ramsey, C. B., Butzin, M., Köhler, P., Muscheler, R., Reimer, P. J., and Wacker, L.: Radiocarbon: a key tracer for studying the Earth's dynamo, climate system and carbon cycle and Sun, Science, 374, eabd7096, <a href="https://doi.org/10.1126/science.abd7096" target="_blank">https://doi.org/10.1126/science.abd7096</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Heaton et al.(2023)Heaton, Butzin, Bard, Bronk Ramsey, Hughen, Köhler, and Reimer</label><mixed-citation>
       Heaton, T. J., Butzin, M., Bard, E., Bronk Ramsey, C., Hughen, K. A., Köhler, P., and Reimer, P. J.: Marine Radiocarbon Calibration in Polar Regions: A Simple Approximate Approach using Marine20, Radiocarbon, 65, 848–875, <a href="https://doi.org/10.1017/RDC.2023.42" target="_blank">https://doi.org/10.1017/RDC.2023.42</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Henry et al.(2016)Henry, McManus, Curry, Roberts, Piotrowski, and Keigwin</label><mixed-citation>
       Henry, L. G., McManus, J. F., Curry, W. B., Roberts, N. L., Piotrowski, A. M., and Keigwin, L. D.: North Atlantic ocean circulation and abrupt climate change during the last glaciation, Science, 353, 470–474, <a href="https://doi.org/10.1126/science.aaf5529" target="_blank">https://doi.org/10.1126/science.aaf5529</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Key et al.(2004)Key, Kozyr, Sabine, Lee, Wanninkhof, Bullister, Feely, Millero, Mordy, and Peng</label><mixed-citation>
       Key, R. M., Kozyr, A., Sabine, C. L., Lee, K., Wanninkhof, R., Bullister, J. L., Feely, R. A., Millero, F. J., Mordy, C., and Peng, T.-H.: A global ocean carbon climatology: results from global data analysis project (GLODAP), Global Biogeochem. Cy., 18, GB4031, <a href="https://doi.org/10.1029/2004GB002247" target="_blank">https://doi.org/10.1029/2004GB002247</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Kimoto(2015)</label><mixed-citation>
       Kimoto, K.: Planktic Foraminifera, Springer Japan, Tokyo, 129–178, <a href="https://doi.org/10.1007/978-4-431-55130-0_7" target="_blank">https://doi.org/10.1007/978-4-431-55130-0_7</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Köhler and Mulitza(2024)</label><mixed-citation>
       Köhler, P. and Mulitza, S.: No detectable influence of the carbonate ion effect on changes in stable carbon isotope ratios (<i>δ</i><sup>13</sup>C) of shallow dwelling planktic foraminifera over the past 160&thinsp;kyr, Clim. Past, 20, 991–1015, <a href="https://doi.org/10.5194/cp-20-991-2024" target="_blank">https://doi.org/10.5194/cp-20-991-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Köhler and Munhoven(2020)</label><mixed-citation>
       Köhler, P. and Munhoven, G.: Late Pleistocene carbon cycle revisited by considering solid Earth processes, Paleoceanography and Paleoclimatology, 35, e2020PA004020, <a href="https://doi.org/10.1029/2020PA004020" target="_blank">https://doi.org/10.1029/2020PA004020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Köhler et al.(2006)Köhler, Muscheler, and Fischer</label><mixed-citation>
       Köhler, P., Muscheler, R., and Fischer, H.: A model-based interpretation of low frequency changes in the carbon cycle during the last 120&thinsp;000 years and its implications for the reconstruction of atmospheric Δ<sup>14</sup>C, Geochem. Geophy. Geosy., 7, Q11N06, <a href="https://doi.org/10.1029/2005GC001228" target="_blank">https://doi.org/10.1029/2005GC001228</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Köhler et al.(2017)Köhler, Nehrbass-Ahles, Schmitt, Stocker, and Fischer</label><mixed-citation>
       Köhler, P., Nehrbass-Ahles, C., Schmitt, J., Stocker, T. F., and Fischer, H.: A 156&thinsp;kyr smoothed history of the atmospheric greenhouse gases CO<sub>2</sub>, CH<sub>4</sub>, and N<sub>2</sub>O and their radiative forcing, Earth Syst. Sci. Data, 9, 363–387, <a href="https://doi.org/10.5194/essd-9-363-2017" target="_blank">https://doi.org/10.5194/essd-9-363-2017</a>, 2017. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Köhler et al.(2022)Köhler, Adolphi, Butzin, and Muscheler</label><mixed-citation>
       Köhler, P., Adolphi, F., Butzin, M., and Muscheler, R.: Toward reconciling radiocarbon production rates with carbon cycle changes of the last 55&thinsp;000 years, Paleoceanography and Paleoclimatology, 37, e2021PA004314, <a href="https://doi.org/10.1029/2021PA004314" target="_blank">https://doi.org/10.1029/2021PA004314</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Köhler et al.(2024a)Köhler, Skinner, and Adolphi</label><mixed-citation>
       Köhler, P., Skinner, L. C., and Adolphi, F.: Radiocarbon cycle revisited by considering the bipolar seesaw and benthic <sup>14</sup>C data, Earth Planet. Sc. Lett., 640, 118801, <a href="https://doi.org/10.1016/j.epsl.2024.118801" target="_blank">https://doi.org/10.1016/j.epsl.2024.118801</a>, 2024a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Köhler et al.(2024b)Köhler, Skinner, and Adolphi</label><mixed-citation>
       Köhler, P., Skinner, L. C., and Adolphi, F.: Splines of reconstructed deep ocean <sup>14</sup>C ages over that last 25&thinsp;kyr and simulation results of the carbon and radiocarbon cycle across the last 55&thinsp;kyr, Pangaea [data set], <a href="https://doi.org/10.1594/pangaea.967149" target="_blank">https://doi.org/10.1594/pangaea.967149</a>, 2024b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Köhler et al.(2026)Köhler, Menviel, Pöppelmeier, Heaton, Bard, and Skinner</label><mixed-citation>
       Köhler, P., Menviel, L., Pöppelmeier, F., Heaton, T. J., Bard, E., and Skinner, L. C.: Simulation results of 2 EMICs for marine reservoir age determination using <sup>14</sup>C during the last 55&thinsp;kyr, Pangaea [data set], <a href="https://doi.org/10.1594/pangaea.987388" target="_blank">https://doi.org/10.1594/pangaea.987388</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Lambert et al.(2012)Lambert, Bigler, Steffensen, Hutterli, and Fischer</label><mixed-citation>
       Lambert, F., Bigler, M., Steffensen, J. P., Hutterli, M., and Fischer, H.: Centennial mineral dust variability in high-resolution ice core data from Dome C, Antarctica, Clim. Past, 8, 609–623, <a href="https://doi.org/10.5194/cp-8-609-2012" target="_blank">https://doi.org/10.5194/cp-8-609-2012</a>, 2012. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Lisiecki and Raymo(2005)</label><mixed-citation>
       Lisiecki, L. E. and Raymo, M. E.: A Pliocene-Pleistocene stack of 57 globally distributed benthic <i>δ</i><sup>18</sup>O records, Paleoceanography, 20, PA1003, <a href="https://doi.org/10.1029/2004PA001071" target="_blank">https://doi.org/10.1029/2004PA001071</a>, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Martrat et al.(2007)Martrat, Grimalt, Shackleton, de Abreu, Hutterli, and Stocker</label><mixed-citation>
       Martrat, B., Grimalt, J. O., Shackleton, N. J., de Abreu, L., Hutterli, M. A., and Stocker, T. F.: Four climate cycles of recurring deep and surface water destabilizations on the Iberian Margin, Science, 317, 502–507, <a href="https://doi.org/10.1126/science.1139994" target="_blank">https://doi.org/10.1126/science.1139994</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Mârza et al.(2024)Mârza, Menviel, and Skinner</label><mixed-citation>
       Mârza, A.-C., Menviel, L., and Skinner, L. C.: Towards the construction of regional marine radiocarbon calibration curves: an unsupervised machine learning approach, Geochronology, 6, 503–519, <a href="https://doi.org/10.5194/gchron-6-503-2024" target="_blank">https://doi.org/10.5194/gchron-6-503-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Menking et al.(2022)Menking, Shackleton, Bauska, Buffen, Brook, Barker, Severinghaus, Dyonisius, and Petrenko</label><mixed-citation>
       Menking, J. A., Shackleton, S. A., Bauska, T. K., Buffen, A. M., Brook, E. J., Barker, S., Severinghaus, J. P., Dyonisius, M. N., and Petrenko, V. V.: Multiple carbon cycle mechanisms associated with the glaciation of Marine Isotope Stage 4, Nat. Commun., 13, 5443, <a href="https://doi.org/10.1038/s41467-022-33166-3" target="_blank">https://doi.org/10.1038/s41467-022-33166-3</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Menviel et al.(2014)Menviel, Timmermann, Friedrich, and England</label><mixed-citation>
       Menviel, L., Timmermann, A., Friedrich, T., and England, M. H.: Hindcasting the continuum of Dansgaard–Oeschger variability: mechanisms, patterns and timing, Clim. Past, 10, 63–77, <a href="https://doi.org/10.5194/cp-10-63-2014" target="_blank">https://doi.org/10.5194/cp-10-63-2014</a>, 2014. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Menviel et al.(2019)Menviel, Capron, Govin, Dutton, Tarasov, Abe-Ouchi, Drysdale, Gibbard, Gregoire, He, Ivanovic, Kageyama, Kawamura, Landais, Otto-Bliesner, Oyabu, Tzedakis, Wolff, and Zhang</label><mixed-citation>
       Menviel, L., Capron, E., Govin, A., Dutton, A., Tarasov, L., Abe-Ouchi, A., Drysdale, R. N., Gibbard, P. L., Gregoire, L., He, F., Ivanovic, R. F., Kageyama, M., Kawamura, K., Landais, A., Otto-Bliesner, B. L., Oyabu, I., Tzedakis, P. C., Wolff, E., and Zhang, X.: The penultimate deglaciation: protocol for Paleoclimate Modelling Intercomparison Project (PMIP) phase 4 transient numerical simulations between 140 and 127&thinsp;ka, version 1.0, Geosci. Model. Dev., 12, 3649–3685, <a href="https://doi.org/10.5194/gmd-12-3649-2019" target="_blank">https://doi.org/10.5194/gmd-12-3649-2019</a>, 2019. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Menviel et al.(2021)Menviel, Govin, Avenas, Meissner, Grant, and Tzedakis</label><mixed-citation>
       Menviel, L., Govin, A., Avenas, A., Meissner, K. J., Grant, K. M., and Tzedakis, P. C.: Drivers of the evolution and amplitude of African Humid Periods, Communications Earth &amp; Environment, 2, 237, <a href="https://doi.org/10.1038/s43247-021-00309-1" target="_blank">https://doi.org/10.1038/s43247-021-00309-1</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Menviel et al.(2020)Menviel, Skinner, Tarasov, and Tzedakis</label><mixed-citation>
       Menviel, L. C., Skinner, L. C., Tarasov, L., and Tzedakis, P. C.: An ice–climate oscillatory framework for Dansgaard–Oeschger cycles, Nature Reviews Earth &amp; Environment, 1, 677–693, <a href="https://doi.org/10.1038/s43017-020-00106-y" target="_blank">https://doi.org/10.1038/s43017-020-00106-y</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>NGRIP Members(2004)</label><mixed-citation>
       NGRIP Members: High-resolution record of Northern Hemisphere climate extending into the last interglacial period, Nature, 431, 147–151, <a href="https://doi.org/10.1038/nature02805" target="_blank">https://doi.org/10.1038/nature02805</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Oeschger et al.(1975)Oeschger, Siegenthaler, Schotterer, and Gugelmann</label><mixed-citation>
       Oeschger, H., Siegenthaler, U., Schotterer, U., and Gugelmann, A.: A box diffusion model to study the carbon dioxide exchange in nature, Tellus, 27, 168–192, <a href="https://doi.org/10.3402/tellusa.v27i2.9900" target="_blank">https://doi.org/10.3402/tellusa.v27i2.9900</a>, 1975.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Orr et al.(2017)Orr, Najjar, Aumont, Bopp, Bullister, Danabasoglu, Doney, Dunne, Dutay, Graven, Griffies, John, Joos, Levin, Lindsay, Matear, McKinley, Mouchet, Oschlies, Romanou, Schlitzer, Tagliabue, Tanhua, and Yool</label><mixed-citation>
       Orr, J. C., Najjar, R. G., Aumont, O., Bopp, L., Bullister, J. L., Danabasoglu, G., Doney, S. C., Dunne, J. P., Dutay, J.-C., Graven, H., Griffies, S. M., John, J. G., Joos, F., Levin, I., Lindsay, K., Matear, R. J., McKinley, G. A., Mouchet, A., Oschlies, A., Romanou, A., Schlitzer, R., Tagliabue, A., Tanhua, T., and Yool, A.: Biogeochemical protocols and diagnostics for the CMIP6 Ocean Model Intercomparison Project (OMIP), Geosci. Model. Dev., 10, 2169–2199, <a href="https://doi.org/10.5194/gmd-10-2169-2017" target="_blank">https://doi.org/10.5194/gmd-10-2169-2017</a>, 2017. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Parekh et al.(2008)Parekh, Joos, and Müller</label><mixed-citation>
       Parekh, P., Joos, F., and Müller, S. A.: A modeling assessment of the interplay between aeolian iron fluxes and iron-binding ligands in controlling carbon dioxide fluctuations during Antarctic warm events, Paleoceanography, 23, PA4202, <a href="https://doi.org/10.1029/2007PA001531" target="_blank">https://doi.org/10.1029/2007PA001531</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Pedro et al.(2022)Pedro, Andersson, Vettoretti, Voelker, Waelbroeck, Dokken, Jensen, Rasmussen, Sessford, Jochum, and Nisancioglu</label><mixed-citation>
       Pedro, J., Andersson, C., Vettoretti, G., Voelker, A., Waelbroeck, C., Dokken, T., Jensen, M., Rasmussen, S., Sessford, E., Jochum, M., and Nisancioglu, K.: Dansgaard-Oeschger and Heinrich event temperature anomalies in the North Atlantic set by sea ice, frontal position and thermocline structure, Quaternary Sci. Rev., 289, 107599, <a href="https://doi.org/10.1016/j.quascirev.2022.107599" target="_blank">https://doi.org/10.1016/j.quascirev.2022.107599</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Peltier(1994)</label><mixed-citation>
       Peltier, W. R.: Ice Age Paleotopography, Science, 265, <a href="https://doi.org/10.1126/science.265.5169.195" target="_blank">https://doi.org/10.1126/science.265.5169.195</a>, 1994.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Peltier et al.(2015)Peltier, Argus, and Drummond</label><mixed-citation>
       Peltier, W. R., Argus, D. F., and Drummond, R.: Space geodesy constrains ice age terminal deglaciation: The global ICE-6G_C (VM5a) model, J. Geophys. Res.-Sol. Ea., 120, 450–487, <a href="https://doi.org/10.1002/2014JB011176" target="_blank">https://doi.org/10.1002/2014JB011176</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Pöppelmeier et al.(2023a)Pöppelmeier, Jeltsch-Thömmes, Lippold, Joos, and Stocker</label><mixed-citation>
       Pöppelmeier, F., Jeltsch-Thömmes, A., Lippold, J., Joos, F., and Stocker, T. F.: Multi-proxy constraints on Atlantic circulation dynamics since the last ice age, Nat. Geosci., 16, 349–356, <a href="https://doi.org/10.1038/s41561-023-01140-3" target="_blank">https://doi.org/10.1038/s41561-023-01140-3</a>, 2023a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Pöppelmeier et al.(2023b)Pöppelmeier, Joos, and Stocker</label><mixed-citation>
       Pöppelmeier, F., Joos, F., and Stocker, T. F.: The Coupled Ice Sheet–Earth System Model Bern3D v3.0, J. Climate, 36, 7563–7582, <a href="https://doi.org/10.1175/JCLI-D-23-0104.1" target="_blank">https://doi.org/10.1175/JCLI-D-23-0104.1</a>, 2023b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Rasmussen et al.(2014)Rasmussen, Bigler, Blockley, Blunier, Buchardt, Clausen, Cvijanovic, Dahl-Jensen, Johnsen, Fischer, Gkinis, Guillevic, Hoek, Lowe, Pedro, Popp, Seierstad, Steffensen, Svensson, Vallelonga, Vinther, Walker, Wheatley, and Winstrup</label><mixed-citation>
       Rasmussen, S. O., Bigler, M., Blockley, S. P., Blunier, T., Buchardt, S. L., Clausen, H. B., Cvijanovic, I., Dahl-Jensen, D., Johnsen, S. J., Fischer, H., Gkinis, V., Guillevic, M., Hoek, W. Z., Lowe, J. J., Pedro, J. B., Popp, T., Seierstad, I. K., Steffensen, J. P., Svensson, A. M., Vallelonga, P., Vinther, B. M., Walker, M. J., Wheatley, J. J., and Winstrup, M.: A stratigraphic framework for abrupt climatic changes during the Last Glacial period based on three synchronized Greenland ice-core records: refining and extending the INTIMATE event stratigraphy, Quaternary Sci. Rev., 106, 14–28, <a href="https://doi.org/10.1016/j.quascirev.2014.09.007" target="_blank">https://doi.org/10.1016/j.quascirev.2014.09.007</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Reimer and Reimer(2001)</label><mixed-citation>
       Reimer, P. J. and Reimer, R. W.: A Marine Reservoir Correction Database and On-Line Interface, Radiocarbon, 43, 461–463, <a href="https://doi.org/10.1017/S0033822200038339" target="_blank">https://doi.org/10.1017/S0033822200038339</a>, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Reimer et al.(2020)Reimer, Austin, Bard, Bayliss, Blackwell, Bronk Ramsey, Butzin, Cheng, Edwards, Friedrich, Grootes, Guilderson, Hajdas, Heaton, Hogg, Hughen, Kromer, Manning, Muscheler, Palmer, Pearson, van der Plicht, Reimer, Richards, Scott, Southon, Turney, Wacker, Adophi, Büntgen, Capano, Fahrni, Fogtmann-Schulz, Friedrich, Köhler, Kudsk, Miyake, Olsen, Reinig, Sakamoto, Sookdeo, and Talamo</label><mixed-citation>
       Reimer, P. J., Austin, W. E. N., Bard, E., Bayliss, A., Blackwell, P. G., Bronk Ramsey, C., Butzin, M., Cheng, H., Edwards, R. L., Friedrich, M., Grootes, P. M., Guilderson, T. P., Hajdas, I., Heaton, T. J., Hogg, A. G., Hughen, K. A., Kromer, B., Manning, S. W., Muscheler, R., Palmer, J. G., Pearson, C., van der Plicht, H., Reimer, R. W., Richards, D. A., Scott, E. M., Southon, J. R., Turney, C. S. M., Wacker, L., Adophi, F., Büntgen, U., Capano, M., Fahrni, S., Fogtmann-Schulz, A., Friedrich, R., Köhler, P., Kudsk, S., Miyake, F., Olsen, J., Reinig, F., Sakamoto, M., Sookdeo, A., and Talamo, S.: The IntCal20 Northern Hemisphere radiocarbon age calibration curve (0–55&thinsp;cal kBP), Radiocarbon, 62, 725–757, <a href="https://doi.org/10.1017/RDC.2020.41" target="_blank">https://doi.org/10.1017/RDC.2020.41</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Rubin and Key(2002)</label><mixed-citation>
       Rubin, S. I. and Key, R. M.: Separating natural and bomb-produced radiocarbon in the ocean: The potential alkalinity method, Global Biogeochem. Cy., 16, 52-1–52-19, <a href="https://doi.org/10.1029/2001GB001432" target="_blank">https://doi.org/10.1029/2001GB001432</a>, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Siani et al.(2013)Siani, Michel, De Pol-Holz, DeVries, Lamy, Carel, Isguder, Dewilde, and Lourantou</label><mixed-citation>
       Siani, G., Michel, E., De Pol-Holz, R., DeVries, T., Lamy, F., Carel, M., Isguder, G., Dewilde, F., and Lourantou, A.: Carbon isotope records reveal precise timing of enhanced Southern Ocean upwelling during the last deglaciation, Nat. Commun., 4, 2758, <a href="https://doi.org/10.1038/ncomms3758" target="_blank">https://doi.org/10.1038/ncomms3758</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Simon et al.(2020)Simon, Thouveny, Bourlès, Valet, and Bassinot</label><mixed-citation>
       Simon, Q., Thouveny, N., Bourlès, D. L., Valet, J.-P., and Bassinot, F.: Cosmogenic <sup>10</sup>Be production records reveal dynamics of geomagnetic dipole moment (GDM) over the Laschamp excursion (20–60&thinsp;ka), Earth Planet. Sc. Lett., 550, 116547, <a href="https://doi.org/10.1016/j.epsl.2020.116547" target="_blank">https://doi.org/10.1016/j.epsl.2020.116547</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Skinner et al.(2023)Skinner, Primeau, Letsch-Thömmes, Joos, Köhler, and Bard</label><mixed-citation>
       Skinner, L., Primeau, F., Jeltsch-Thömmes, A., Joos, F., Köhler, P., and Bard, E.: Rejuvenating the ocean: mean ocean radiocarbon, CO<sub>2</sub> release, and radiocarbon budget closure across the last deglaciation, Clim. Past, 19, 2177–2202, <a href="https://doi.org/10.5194/cp-19-2177-2023" target="_blank">https://doi.org/10.5194/cp-19-2177-2023</a>, 2023. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Skinner and Bard(2022)</label><mixed-citation>
       Skinner, L. C. and Bard, E.: Radiocarbon as a Dating Tool and Tracer in Paleoceanography, Rev. Geophys., 60, e2020RG000720, <a href="https://doi.org/10.1029/2020RG000720" target="_blank">https://doi.org/10.1029/2020RG000720</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Skinner et al.(2014)Skinner, Waelbroeck, Scrivner, and Fallon</label><mixed-citation>
       Skinner, L. C., Waelbroeck, C., Scrivner, A. E., and Fallon, S. J.: Radiocarbon evidence for alternating northern and southern sources of ventilation of the deep Atlantic carbon pool during the last deglaciation, P. Natl. Acad. Sci. USA, 111, 5480–5484, <a href="https://doi.org/10.1073/pnas.1400668111" target="_blank">https://doi.org/10.1073/pnas.1400668111</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Skinner et al.(2019)Skinner, Muschitiello, and Scrivner</label><mixed-citation>
       Skinner, L. C., Muschitiello, F., and Scrivner, A. E.: Marine Reservoir Age Variability Over the Last Deglaciation: Implications for Marine Carbon Cycling and Prospects for Regional Radiocarbon Calibrations, Paleoceanography and Paleoclimatology, 34, 1807–1815, <a href="https://doi.org/10.1029/2019PA003667" target="_blank">https://doi.org/10.1029/2019PA003667</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Skinner et al.(2021)Skinner, Freeman, Hodell, Waelbroeck, Vazquez Riveiros, and Scrivner</label><mixed-citation>
       Skinner, L. C., Freeman, E., Hodell, D., Waelbroeck, C., Vazquez Riveiros, N., and Scrivner, A. E.: Atlantic Ocean Ventilation Changes Across the Last Deglaciation and Their Carbon Cycle Implications, Paleoceanography and Paleoclimatology, 36, e2020PA004074, <a href="https://doi.org/10.1029/2020PA004074" target="_blank">https://doi.org/10.1029/2020PA004074</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Soulet et al.(2016)Soulet, Skinner, Beaupré, and Galy</label><mixed-citation>
       Soulet, G., Skinner, L. C., Beaupré, S. R., and Galy, V.: A Note on Reporting of Reservoir <sup>14</sup>C Disequilibria and Age Offsets, Radiocarbon, 58, 205–211, <a href="https://doi.org/10.1017/RDC.2015.22" target="_blank">https://doi.org/10.1017/RDC.2015.22</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Stern and Lisiecki(2013)</label><mixed-citation>
       Stern, J. V. and Lisiecki, L. E.: North Atlantic circulation and reservoir age changes over the past 41&thinsp;000 years, Geophys. Res. Lett., 40, 3693–3697, <a href="https://doi.org/10.1002/grl.50679" target="_blank">https://doi.org/10.1002/grl.50679</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Stocker and Johnsen(2003)</label><mixed-citation>
       Stocker, T. F. and Johnsen, S. J.: A minimum thermodynamic model for the bipolar seesaw, Paleoceanography, 18, 1087, <a href="https://doi.org/10.1029/2003PA000920" target="_blank">https://doi.org/10.1029/2003PA000920</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Stuiver and Quay(1981)</label><mixed-citation>
       Stuiver, M. and Quay, P. D.: Atmospheric <sup>14</sup>C changes resulting from fossil fuel CO<sub>2</sub> release and cosmic ray flux variability, Earth Planet. Sc. Lett., 53, 349–362, <a href="https://doi.org/10.1016/0012-821X(81)90040-6" target="_blank">https://doi.org/10.1016/0012-821X(81)90040-6</a>, 1981.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Stuiver et al.(1986)Stuiver, Pearson, and Braziunas</label><mixed-citation>
       Stuiver, M., Pearson, G. W., and Braziunas, T.: Radiocarbon age calibration of marine samples back to 9000&thinsp;cal yr BP, Radiocarbon, 28, 980–1021, <a href="https://doi.org/10.1017/S0033822200060264" target="_blank">https://doi.org/10.1017/S0033822200060264</a>, 1986.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Suess(1955)</label><mixed-citation>
       Suess, H. E.: Radiocarbon Concentration in Modern Wood, Science, 122, 415–417, <a href="https://doi.org/10.1126/science.122.3166.415-a" target="_blank">https://doi.org/10.1126/science.122.3166.415-a</a>, 1955.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Tierney et al.(2020)Tierney, Zhu, King, Malevich, Hakim, and Poulsen</label><mixed-citation>
       Tierney, J. E., Zhu, J., King, J., Malevich, S. B., Hakim, G. J., and Poulsen, C. J.: Glacial cooling and climate sensitivity revisited, Nature, 584, 569–573, <a href="https://doi.org/10.1038/s41586-020-2617-x" target="_blank">https://doi.org/10.1038/s41586-020-2617-x</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Tschumi et al.(2008)Tschumi, Joos, and Parekh</label><mixed-citation>
       Tschumi, T., Joos, F., and Parekh, P.: How important are Southern Hemisphere wind changes for low glacial carbon dioxide? A model study, Paleoceanography, 23, PA4208, <a href="https://doi.org/10.1029/2008PA001592" target="_blank">https://doi.org/10.1029/2008PA001592</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>Wu et al.(2022)Wu, Mollenhauer, Stein, Köhler, Hefter, Fahl, Grotheer, Wei, and Nam</label><mixed-citation>
       Wu, J., Mollenhauer, G., Stein, R., Köhler, P., Hefter, J., Fahl, K., Grotheer, H., Wei, B., and Nam, S.-I.: Deglacial release of petrogenic and permafrost carbon from the Canadian Arctic impacting the carbon cycle, Nat. Commun., 13, 7172, <a href="https://doi.org/10.1038/s41467-022-34725-4" target="_blank">https://doi.org/10.1038/s41467-022-34725-4</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>Zhang et al.(2014)Zhang, Lohmann, Knorr, and Purcell</label><mixed-citation>
       Zhang, X., Lohmann, G., Knorr, G., and Purcell, C.: Abrupt glacial climate shifts controlled by ice sheet changes, Nature, 512, 290–294, <a href="https://doi.org/10.1038/nature13592" target="_blank">https://doi.org/10.1038/nature13592</a>, 2014.

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