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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">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-22-797-2026</article-id><title-group><article-title>Interplay of North Atlantic freshening and deep convection during the last deglaciation constrained by Iberian speleothems</article-title><alt-title>Deglacial North Atlantic Freshening–Convection Interplay</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Endres</surname><given-names>Laura</given-names></name>
          <email>endres@eaps.ethz.ch</email>
        <ext-link>https://orcid.org/0000-0002-5013-4811</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Pérez-Mejías</surname><given-names>Carlos</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8370-9271</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ivanovic</surname><given-names>Ruza</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7805-6018</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Gregoire</surname><given-names>Lauren</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0258-7282</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Hughes</surname><given-names>Anna L. C.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8584-5202</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff5">
          <name><surname>Cheng</surname><given-names>Hai</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Stoll</surname><given-names>Heather</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2953-7835</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Earth and Planetary Sciences, Geological Institute, ETH Zurich, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Earth and Environment, University of Leeds, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Global Environmental Change, Xi`an Jiaotong University, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Geography, School of Environment, Education and Development, The University of Manchester, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Faculty of Geography, Yunnan Normal University, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Laura Endres (endres@eaps.ethz.ch)</corresp></author-notes><pub-date><day>17</day><month>April</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>4</issue>
      <fpage>797</fpage><lpage>824</lpage>
      <history>
        <date date-type="received"><day>11</day><month>August</month><year>2025</year></date>
           <date date-type="rev-request"><day>26</day><month>August</month><year>2025</year></date>
           <date date-type="rev-recd"><day>15</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>17</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Laura Endres 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/22/797/2026/cp-22-797-2026.html">This article is available from https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e164">The last deglaciation featured abrupt climate shifts driven by interactions among Earth system components, notably retreating ice sheets and meltwater input. While globally detected, the magnitude, timing, and sequence of North Atlantic meltwater events remain uncertain. We present a Uranium-Thorium-dated stalagmite from northwestern Iberia spanning 24–12 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, capturing both the impact of North Atlantic meltwater on surface ocean chemistry and regional air temperature changes. Our record reveals primarily gradual meltwater inflow during the Last Glacial Maximum and early deglaciation (about 20.8–18.2 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>), followed by abrupt increases during Heinrich Stadial 1. The first abrupt cooling is decoupled from the first meltwater pulse, appearing around 810 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> later – unlike the timing observed for later pulses. This evolving relationship between meltwater and cooling provides new constraints on the changing sensitivity of deep Atlantic convection to meltwater input throughout the deglaciation.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42472244</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="d2e206">The last deglaciation started in the Northern Hemisphere (NH) around 19 thousand years before present (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>), and marks the transition from the Last Glacial Maximum (LGM), lasting from approximately 23–18 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> before present (BP), into the Holocene <xref ref-type="bibr" rid="bib1.bibx15" id="paren.1"/>. During the LGM, the NH was covered by large ice sheet complexes (Fig. <xref ref-type="fig" rid="F1"/>a) covering much of North America and Eurasia <xref ref-type="bibr" rid="bib1.bibx86 bib1.bibx35" id="paren.2"/>. An increase in boreal summer insolation triggered their retreat and during their subsequent deglaciation there were episodically large amounts of meltwater <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">MW</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and icebergs delivered into the North Atlantic (e.g. <xref ref-type="bibr" rid="bib1.bibx93 bib1.bibx34 bib1.bibx49 bib1.bibx106" id="altparen.3"/>).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e254">Overview of sites referenced in this study, the expected meltwater signal originating from different ocean bassins, and the expected environmental changes related to an AMOC decline. <bold>(a)</bold> A Map including the study site NISA (red-rimmed white star) and other sediment cores used in this study for proxy comparison (red circles), namely MD95-2002 <xref ref-type="bibr" rid="bib1.bibx93" id="paren.4"/>, U1308 <xref ref-type="bibr" rid="bib1.bibx34" id="paren.5"/>,  Hu97048-07 <xref ref-type="bibr" rid="bib1.bibx70" id="paren.6"/>, and MD02–2550 <xref ref-type="bibr" rid="bib1.bibx100" id="paren.7"/>. The maximum LGM ice sheet extent <xref ref-type="bibr" rid="bib1.bibx6" id="paren.8"/> (grey, blue border) is illustrated for the main northern ice sheet sectors: Laurentide (LIS), Greenland (GIS) and the European Ice sheet (EIS) sectors: Svalbard–Barents–Kara (SBKIS), Scandinavian (SIS) and British-Isles (BIIS). Ocean colouring illustrates the simulated mean annual sea surface salinity anomaly expected for Heinrich Stadial 1 <xref ref-type="bibr" rid="bib1.bibx37" id="paren.9"/> due to meltwater input and associated AMOC decline. <bold>(b)</bold> A Map showing the oceanic moisture source areas from a Hysplit analysis on precipitation monitoring data at NISA cave sites (red-rimmed white star) from 2015–2016 <xref ref-type="bibr" rid="bib1.bibx28" id="paren.10"/>. The colored regions denote three composite Northern Hemisphere ice sheet's meltwater source regions: the GIN Seas and northeastern North Atlantic (purple), the Arctic Ocean (light green), and the Gulf of Mexico and Labrador Sea (orange). These regions were further used to compute the regional NISA Melt Source Contribution Indexes in <bold>(e)</bold>. <bold>(c, d)</bold> Based on a simulation simulating regional meltwater discharge at 17.8 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>, re-employed from <xref ref-type="bibr" rid="bib1.bibx73" id="text.11"/>, the expected difference at our NISA study site (averaged over the red rectangular region) between different AMOC states for <bold>(c)</bold> surface air temperature and <bold>(d)</bold> moisture availability (precipitation-evapotranspiration; <inline-formula><mml:math id="M8" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>-ET). <bold>(e)</bold> Barplot shows the NISA Melt Source Contribution Index (Appendix B); a relative mean contribution estimate of how much meltwater reaches the NISA location from each of the three regions after 200–300 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> of continuous injection during a weak (blue) and strong (red) AMOC state, based on a simulation using meltwater input at 17.8 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</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.bibx73" id="paren.12"/>.</p></caption>
        <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f01.png"/>

      </fig>

      <p id="d2e348">It is well established, both conceptually <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx2 bib1.bibx57" id="paren.13"/> and by modeling studies <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx42 bib1.bibx73" id="paren.14"/>, that MW contributions can cause an abrupt weakening of the Atlantic Meridional Overturing Circulation (AMOC) – the zonal integral of the surface and deep currents in the Atlantic  –  if the Atlantic is conditioned for instability. Such weakening, in turn, would lead to hemispheric-scale cooling in the north, warming in the south and trigger 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> rise <xref ref-type="bibr" rid="bib1.bibx11" id="paren.15"/>. While there is evidence for several episodes of AMOC weakening and NH cooling during the deglaciation <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx80 bib1.bibx62" id="paren.16"/>, linking these to specific melt discharge events remains challenging. Uncertainties in ice geometry, even at the scale of total volume and global distribution <xref ref-type="bibr" rid="bib1.bibx87" id="paren.17"/>, propagate into the derived meltwater histories mostly used for transient deglacial simulations <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx81 bib1.bibx40 bib1.bibx85" id="paren.18"/>. Furthermore, direct evidence for meltwater from palaeoclimatic records is sparse and retrieving accurate radiocarbon ages from marine cores on such short centennial time scales is hindered by the increased stratification during weak AMOC states <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx66" id="paren.19"/>. Generally, time scales relevant for melt events range from a few years to a few centuries, a time range in which the North Atlantic ocean and its adjoint ice sheets are not able to equilibrate (<xref ref-type="bibr" rid="bib1.bibx101" id="altparen.20"/>, Fig. <xref ref-type="fig" rid="F1"/>c), emphasizing the need for more regional records to reconstruct their sequence and impact on the Earth system. Even more so, as modulations of AMOC strength depend on background climate <xref ref-type="bibr" rid="bib1.bibx107" id="paren.21"/>, and can occur directly forced by freshwater <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx85" id="paren.22"/>, spontaneously <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx3" id="paren.23"/> or delayed <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx74" id="paren.24"/>. This adds an additional layer of complexity to the synchronization of regional melt events with global records.</p>
      <p id="d2e403">To move forward our understanding of the relationship between melt-induced freshening and AMOC strength, we are building upon a direct freshening mechanism by detecting the <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>-depleted MW in speleothem <inline-formula><mml:math id="M13" 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> proximal to the melt water source regions, an effect previously documented in the Northwest Iberian Speleothem Archive (NISA) <xref ref-type="bibr" rid="bib1.bibx89" id="paren.25"/> and model simulations <xref ref-type="bibr" rid="bib1.bibx108" id="paren.26"/>. Here, we provide a new decadally-resolved isotopic record from NISA, 24–12 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, to constrain the timing of MW addition and elucidate the relationship between melt-induced freshening, North Atlantic temperature changes and AMOC strength throughout the entire last deglaciation. Given the coastal location of our site and prevailing atmospheric conditions induced by Earth's rotation, the direct effect of <inline-formula><mml:math id="M15" 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>-depleted MW on the surface ocean is captured by <inline-formula><mml:math id="M16" 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> in the speleothem, allowing us to infer the history of NH MW at high temporal resolution. In addition, we provide a coeval record of relative temperature from speleothem <inline-formula><mml:math id="M17" 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>, which we have corrected for in-cave fractionation effects (<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). Since both stable isotopes are measured on the exact same samples, this allows a direct and high-resolution study of the temporal relationship between the influx of NH MW to the ocean and temperature change in the North Atlantic realm.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Material and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Cave site, sample, preparation, and sampling procedure</title>
      <p id="d2e521">Modern precipitation at the cave site is dominated by cool season rainfall, but many drips remain active also during the summer period of lower precipitation-evapotranspiration. Speleothem Glas has been selected for this detailed study because of the absence of any signs for non-continuous growth and for featuring a homogenous trace element structure, also when diverging from the main growth axis (Appendix A, Fig. <xref ref-type="fig" rid="FA1"/>). We focus on the  4.2 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> interval of Glas bracketed by a growth discontinuity on the older part and significant decrease in growth rate on the younger boundary (Fig. <xref ref-type="fig" rid="F2"/>). Due to the slow growth rate and the presence of abrupt climate changes over the early last deglaciation, the sampling strategy for <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> dating has been optimised by continuously micro-milling the sample with a 50 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> trench along growth layers, measuring stable isotopes on these individual samples, before combining the remaining powder of around 10 samples to retrieve one date. This approach is superior when aiming for high temporal resolution in a slow-growing stalagmite because it eliminates possible mismatches when aligning the midpoint of a dating hole to the isotope track. Samples were collected by a trench using the ESI NewWave microdrill. The trench drill track was pre-programmed to follow growth layers within the Image Processing Software Fiji <xref ref-type="bibr" rid="bib1.bibx79" id="paren.27"/>, based on prior analysis of microscopic and confocal laser scanning microscopy. The new trench was aligned to an older 100 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> trench for quality control and aligning trace element measurements (Appendix, Fig. <xref ref-type="fig" rid="FA9"/>).</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e576">Age model of NISA Stalagmite Glas. Main panel from left to right: scan of the slab used for analysis (grey shading); the corresponding Confocal laser scanning microscopy image (green shading); and the constructed BChron age model (green line) used in all further analysis (Methods), based on the <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> ages (black diamonds, bounded by horizontal errorbars denoting the <inline-formula><mml:math id="M24" 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); and, on the right, actual depth of the combined, original samples used in this study (purple vertical errorbar). Open and filled symbols were chosen to simplify retrieving the width of a specific dating hole by comparing directly with the purple vertical errorbar indicators. Note that our sampling procedure ensures no shift between the assigned depths for dating and isotope track. In the top panel, growth rate is calculated based on the BChron age model (pink fill), and we use <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> ratio (brown line) as an additional indicator for changes in growth rate to confirm the age model from the <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> dating sequence. The pearson correlation coefficient between <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> and growth rate of the author age model is 0.6.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title><inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> dating and age model</title>
      <p id="d2e663">Despite small sample sizes (20–40 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi></mml:mrow></mml:math></inline-formula>), good analytical errors of less than 100 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> have been achieved in each sample. <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> samples were analyzed with a ThermoFisher Neptune plus Multicollector Inductively Coupled Plasma Mass Spectrometer (MC-ICP-MS) at Xi'an Jiaotong University, following the methodology and decay constants reported in <xref ref-type="bibr" rid="bib1.bibx13" id="text.28"/>, see Appendix Table <xref ref-type="table" rid="TA1"/>.</p>
      <p id="d2e700">The age-depth model (Fig. <xref ref-type="fig" rid="F2"/>) has been computed per the algorithm of <xref ref-type="bibr" rid="bib1.bibx31" id="text.29"/>, using the package BChron with 50 000 iterations, equal outlier probability of 0.1 for each sample and by explictly providing the dating sample thickness as an additional constraint. The age uncertainties stated in the paper are the 95 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> credible interval (CI) output of this statistical model. The chosen author age model that is used for further analyis in this work is selected from the full ensemble of plausible posterior BChron age models as one of the posterior realisations featuring the highest correlation with the <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> ratio, while also exhibiting a comparably small root mean square error (RMSE) compared to the BChron median age model. An extended comparison plot between the differences in the resulting growth rates available in the Appendix (Fig. <xref ref-type="fig" rid="FA2"/>). The author age-depth model remains within the 95 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">CI</mml:mi></mml:mrow></mml:math></inline-formula> of the BChron model and correlates to <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> ratio with a pearson correlation coefficient of 0.6 (BChron Median: 0.15). We consider this age model superior to the statistical median model as it allows to use <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> to inform on any short term growth rate variations that are not resolved by the coarser <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> sampling increment. This assessment is based on prior studies documenting that <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> from this cave system correlates well with growth due to the growth rate dependence of Sr partitioning <xref ref-type="bibr" rid="bib1.bibx84" id="paren.30"/>. Further, we investigated whether changes in the delivery of Mg from sea spray could break this relationship by monitoring the delivery of sea aerosols to the cave system <xref ref-type="bibr" rid="bib1.bibx43" id="paren.31"/>: median modern dripwater Na concentrations in the interior cave sectors where Glas was collected are 5 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula>, thus for the minimum stalagmite <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> at 9 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</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> (<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>Mg</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>  of 0.0225) this Mg from marine aerosols would consitute 3 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–6 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>  of the dripwater Mg for open system dissolution in the range of 600–8000 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, leading to variations in the drip water <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> of about 3 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>  between glacial and interglacial endmembers, a very small variation compared to the measured <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> range of 0.002–0.006 (a 40 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> increase) in this sample.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Stable isotope and trace element ratios measurements</title>
      <p id="d2e942">Stable isotope ratios were measured at ETH Zurich with a Thermo-Finnegan Delta V Plus coupled to Gas Bench II <xref ref-type="bibr" rid="bib1.bibx10" id="paren.32"/>. Carbonate powder for trace element analysis were dissolved in 2 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and analyzed for trace element to calcium ratios employing an Agilent 8800 QQQ ICP-MS at ETH. Samples and standards were run at Ca concentrations of 400 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula>. Calibration used matrix-matched standards prepared from single element standard solutions to cover the range of trace element to Ca ratios found in stalagmite samples. Our calibration standard composition accounts for trace element impurities in the Ca standard, which were determined using standard additions. Calibration was conducted offliine using the intensity ratio method described by <xref ref-type="bibr" rid="bib1.bibx19" id="text.33"/>. Analytical drifte was corrected with standards run afteer every 10 unknowns. Precision on <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> ratios is <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Correction for in-cave fractionation</title>
      <p id="d2e1035">Prior calcite precipitation (PCP) occurs when parts of the initial dripwater solution already supersaturate and precipitate due to the exchange with cave air before reaching the stalagmite. PCP can alter the <inline-formula><mml:math id="M59" 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> signature significantly, by preferentially removing <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> from the remaining dripwater solution <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx25" id="paren.34"/>. To focus on the temperature signal preserved in soil <inline-formula><mml:math id="M61" 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 consequently <inline-formula><mml:math id="M62" 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>, the record was corrected for PCP by using the <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> ratio as a guide line for the amount of degassing occurring, following the methodology of <xref ref-type="bibr" rid="bib1.bibx90" id="text.35"/>, with details being described in Appendix B. In contrast, in most instances, the actual bedrock <inline-formula><mml:math id="M64" 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> is of minor relevance, as the system can be assumed to be rather open and therefore the <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the soil overwhelms the rock signature <xref ref-type="bibr" rid="bib1.bibx46" id="paren.36"/>.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Event nomenclature, midpoint and duration estimation</title>
      <p id="d2e1142">To estimate the timing and rate of the key transitions discussed in the manuscript, we propagated age and measurement uncertainties using a Monte Carlo errors-in-variables framework. For each of the 6000 age-depth posterior realizations derived from the Bayesian age model (BChron, <xref ref-type="bibr" rid="bib1.bibx31" id="altparen.37"/>), we extracted a start and end age corresponding to the two bracketing depths of a given transition. Measurement uncertainty in <inline-formula><mml:math id="M66" 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> (<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) was incorporated by adding Gaussian noise to the observed endpoint values in each realization. For the author age model and each posterior draw i, we computed the midpoint as <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mtext>age</mml:mtext><mml:mrow><mml:mtext>mid</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mtext>age</mml:mtext><mml:mtext>end</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mtext>age</mml:mtext><mml:mtext>start</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and the rate of change by computing the slope <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mtext>end</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mtext>start</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mtext>age</mml:mtext><mml:mrow><mml:mtext>end</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>age</mml:mtext><mml:mrow><mml:mtext>start</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Duration of an event was estimated similarly by subtracting the end from the start age in all posterior realisations. Uncertainty estimates (95 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">CI</mml:mi></mml:mrow></mml:math></inline-formula>) were obtained directly from the empirical distributions of these quantities across all posterior realizations, while the event names are derived from the author age model. To assess robustness to the exact choice of bracketing depths, we repeated the analysis using adjacent samples surrounding each transition. The resulting midpoint ages and durations remained within the 95 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">CI</mml:mi></mml:mrow></mml:math></inline-formula> of the original estimates, indicating that the inferred timing and rates are not sensitive to small variations when selecting the depth interval. Further, the estimates of the author age model also remain within the 95 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">CI</mml:mi></mml:mrow></mml:math></inline-formula> for all values, which gives further support that the author age model is consistent with all data and not an outlier realisation. The summarized results are given in Table <xref ref-type="table" rid="T1"/> and are visualised in Fig. <xref ref-type="fig" rid="FA3"/>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1347">Overview of the abrupt salinity and temperature transitions in stalagmite Glas, which are discussed further in this work. All events are named by their midpoint and their type, where “S” and “T” indicate variation in surface ocean salinity (related to freshwater input) and abrupt change in regional temperatures, respectively. The first value in the columns Midpoint, Duration and Slope indicate the value derived from the author age model, while the 95 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">CI</mml:mi></mml:mrow></mml:math></inline-formula> from the BChron ensemble is given in brackets. The sample depth informs about the start and end point chosen to characterise the transition. This analysis was repeated using adjacent samples surrounding each transition, resulting in midpoint ages and durations remaining within the 95 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">CI</mml:mi></mml:mrow></mml:math></inline-formula> of the original estimates. Computation of midpoints and their uncertainties are visualised in Appendix Fig. <xref ref-type="fig" rid="FA3"/>. </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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Event</oasis:entry>
         <oasis:entry colname="col2">Midpoint <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">ka</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Duration <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">yr</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Slope (<inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">Indicator</oasis:entry>
         <oasis:entry colname="col6">Sample Depth <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">mm</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.4</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">23.44 (23.33–24.05)</oasis:entry>
         <oasis:entry colname="col3">559 (341–1755)</oasis:entry>
         <oasis:entry colname="col4">0.0013 (0.0004–0.0024)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>↑</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (re-salinization)</oasis:entry>
         <oasis:entry colname="col6">37.2–39.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.8</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">17.84 (17.82–18.03)</oasis:entry>
         <oasis:entry colname="col3">313 (109–474)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0025 (<inline-formula><mml:math id="M84" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.0072–0.0014)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>↓</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (freshening)</oasis:entry>
         <oasis:entry colname="col6">20.2–20.95</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.4</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">16.44 (16.14–16.55)</oasis:entry>
         <oasis:entry colname="col3">68 (20–200)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0076 (<inline-formula><mml:math id="M88" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.0276–0.0022)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>↓</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (freshening)</oasis:entry>
         <oasis:entry colname="col6">15.35–15.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.1</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">16.07 (15.90–16.38)</oasis:entry>
         <oasis:entry colname="col3">136 (37–182)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M91" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0060 (<inline-formula><mml:math id="M92" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.0226–0.0036)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>↓</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (freshening)</oasis:entry>
         <oasis:entry colname="col6">14.45–14.75</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.3</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">15.27 (15.14–15.36)</oasis:entry>
         <oasis:entry colname="col3">221 (128–493)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M95" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0039 (<inline-formula><mml:math id="M96" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.0070–0.0015)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>↓</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (freshening)</oasis:entry>
         <oasis:entry colname="col6">12.2–12.8</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.7</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">14.68 (14.54–14.81)</oasis:entry>
         <oasis:entry colname="col3">113 (38–187)</oasis:entry>
         <oasis:entry colname="col4">0.0059 (0.0029–0.0182)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>↑</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (re-salinization)</oasis:entry>
         <oasis:entry colname="col6">11.1–11.45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.6</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">23.64 (23.49–24.32)</oasis:entry>
         <oasis:entry colname="col3">348 (68–1643)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M101" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0088 (<inline-formula><mml:math id="M102" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.0455–0.0019)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>↓</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (warming)</oasis:entry>
         <oasis:entry colname="col6">10.70–11.50</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.0</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">17.03 (17.00–17.39)</oasis:entry>
         <oasis:entry colname="col3">148 (90–528)</oasis:entry>
         <oasis:entry colname="col4">0.0057 (0.0015–0.0094)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>↑</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (cooling)</oasis:entry>
         <oasis:entry colname="col6">17.75–18.30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.6</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">14.62 (14.53–14.76)</oasis:entry>
         <oasis:entry colname="col3">260 (103–359)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M107" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0129 (<inline-formula><mml:math id="M108" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.0324–0.0093)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>↓</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (warming)</oasis:entry>
         <oasis:entry colname="col6">38.20–39.60</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Climate model experiments and NISA Melt Source Contribution Index</title>
      <p id="d2e2007">We reemploy an already published HadCM3 model simulation <xref ref-type="bibr" rid="bib1.bibx73" id="paren.38"/> to examine the progression of a freshwater anomaly from different source origins and under different AMOC states to the NISA location. The original simulation includes 10 000 model years and captures a glacial climate state with an AMOC that oscillates between a strong (relatively “warm” climate) and a weak (relatively “cold” climate) state, with about 1500 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">year</mml:mi></mml:mrow></mml:math></inline-formula> periodicity, triggered by a constant meltwater flux corresponding to a reconstructed ice sheet history at 17.8 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (GLAC-1D, <xref ref-type="bibr" rid="bib1.bibx36" id="altparen.39"/>), with more detailed model description in Appendix B3. To study the effect of an AMOC decline on the regional climate above the cave, we have computed the seasonal averages of surface air temperature and precipitation  –  evapotranspiration, plotted in Fig. <xref ref-type="fig" rid="F1"/>c and d, for the region confined by a red border in Fig. <xref ref-type="fig" rid="F1"/>b. To distinguish between a strong and a weak state AMOC within the simulation, we followed the methodology of <xref ref-type="bibr" rid="bib1.bibx75" id="text.40"/>, where the years that fulfilled each condition were selected based on changes in the mixed layer depth (MLD) in key convection sites (Irminger and GIN Seas). In these simulations, Irminger Sea MLD is in the range 17–25 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> during the weak AMOC state, deepening to 25–65 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> during the strong AMOC state. GIN seas MLD is 27–40 and 65–105 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. From the full simulation, 2367 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> fulfilled the “weak” condition (average AMOC strength at 26.5° N: 8 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula>), and 1488 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> fulfilled the “strong” condition (16 <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>), coined “zonal” in <xref ref-type="bibr" rid="bib1.bibx73" id="text.41"/>.</p>
      <p id="d2e2103">Segments of the simulation were re-run for our study, adding a set of passive ocean tracers tagging the different likely meltwater source regions to assess the potential of each region to influence the isotope signal at our study site. The results are presented as a qualitative NISA Melt Source Contribution Index (Fig. <xref ref-type="fig" rid="F1"/>e). We calculate the index by scaling the model's surface-ocean dye anomalies after 200–300 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> of continuous injection (Fig. <xref ref-type="fig" rid="F1"/>b) using estimated moisture uptake at the site and provide a percentage estimate of three key delivery regions to the full signal at NISA expected for a strong AMOC mode. The uptake estimates are derived from a HYSPLIT analysis based on rainfall at the NISA location El Pindal during 2015–2016 <xref ref-type="bibr" rid="bib1.bibx28" id="paren.42"/>. The index is not tied to a specific meltwater scenario; instead, it provides a relative estimate of how efficiently meltwater from a given northern ice sheet sector can reach our study site under varying AMOC circulation modes. The constant meltwater flux that was applied in the underlying simulations has the consequence that lag times between meltwater injection and AMOC decline can not be assessed for these simulations. However, both, AMOC theory (e.g. <xref ref-type="bibr" rid="bib1.bibx4" id="altparen.43"/>) and GCM model results (e.g. <xref ref-type="bibr" rid="bib1.bibx75" id="altparen.44"/>), suggest that the response of AMOC to a specific meltwater forcing is likely climate and ocean background state dependent and includes the possibility of a delayed response. For example, a recent high resolution GCM model found AMOC collapse occurred 1750 model years after the onset of a gradually increasing North Atlantic freshwater forcing <xref ref-type="bibr" rid="bib1.bibx97" id="paren.45"/>. As we argue here, NISA speleothem data provides a direct pathway to investigate such lag times by comparing the two proxy time series <inline-formula><mml:math id="M120" 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> and <inline-formula><mml:math id="M121" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, thus contributing to the understanding of AMOC strength sensitivity to a meltwater forcing under evolving background conditions.</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>Sensitivity of NISA to surface ocean freshening and cooling</title>
      <p id="d2e2176">At NISA cave locations (Fig. <xref ref-type="fig" rid="F1"/>), precipitation is mainly controlled by westerly winds and the passage of Atlantic fronts while the Cantabrian mountain ridge reduces the influence of water vapor transport from the south <xref ref-type="bibr" rid="bib1.bibx60" id="paren.46"/>, making rainfall from the proximal North Atlantic the dominant moisture source. Over the penultimate and the last deglaciation,  speleothem  <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mtext>NISA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> closely tracks the long term trend in <inline-formula><mml:math id="M123" 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>  of seawater (<inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mtext>sw</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) reconstructed from marine archives from the eastern North Atlantic <xref ref-type="bibr" rid="bib1.bibx89" id="paren.47"/>. This strong response to the moisture source composition occurs because in this setting, the temperature-dependent fractionation of <inline-formula><mml:math id="M125" 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> into calcite is of a similar magnitude but opposite sign to the temperature dependence of <inline-formula><mml:math id="M126" 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> in precipitation <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx88" id="paren.48"/>, which mitigates additional speleothem <inline-formula><mml:math id="M127" 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> variability due to temperature changes. Additionally, due to the coastal cave location, effects on <inline-formula><mml:math id="M128" 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> due to changes in altitude or prior rainout are minimized.</p>
      <p id="d2e2292">On a centennial time scale, a freshwater anomaly originating from a certain ice sheet sector will not spread evenly across latitudes and depths. This may amplify or attenuate the impact of a given meltwater flux on the proxy archive. To test the dependency of source origin and AMOC background state, the distribution of meltwater from different NH ice sheet sectors has been tracked by adding conservative dye tracers to the simulations of <xref ref-type="bibr" rid="bib1.bibx73" id="text.49"/>. We compute the relative intensity of the tracer in the proximal sector of the modern NISA moisture source region (Fig. <xref ref-type="fig" rid="F1"/>b). The sensitivity of the tracer to the source region and AMOC state is expressed as the NISA Melt Source Contribution Index (Appendix B). The Melt Source Contribution Index demonstrates that for a given meltwater flux (Fig. <xref ref-type="fig" rid="F1"/>b and e), the signal from ice sheet meltwater reaching the NISA sites is higher when AMOC is in a weak state than in a strong state, regardless of the melt source region. This is because a stronger AMOC more rapidly redistributes meltwater throughout the global ocean. Furthermore, we can identify that under the weak AMOC state, the tracked NISA source region more strongly accumulates meltwater of Eurasian origin delivered to the GIN Seas and the Eastern North Atlantic, whereas meltwater discharged by the Laurentide ice sheet to the western North Atlantic more strongly accumulates in the tracked region under strong AMOC conditions (Fig. <xref ref-type="fig" rid="F1"/>b). For both, weak and strong AMOC, meltwater anomalies originating from the Arctic will already largely propagate to the subsurface waters and have limited impact on the surface North Atlantic <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mtext>sw</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e2322">In our record,  <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> provides a qualitative measure of regional surface air temperature. This is because the <inline-formula><mml:math id="M131" 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 cave dripwater is initially set by the exchange of infiltrating water with <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the soil and epikarst.  In moisture-replete regions such as NW Iberia, warmer temperatures stimulate higher heterotrophic and autotrophic respiration rates and raise soil <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx76" id="paren.50"/>. Because respired <inline-formula><mml:math id="M134" 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> is much lower in <inline-formula><mml:math id="M135" 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> than atmospheric <inline-formula><mml:math id="M136" 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>, warm periods of high soil <inline-formula><mml:math id="M137" 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> lead to a more negative <inline-formula><mml:math id="M138" 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> signature in cave dripwater.  While in-cave processes of degassing and prior calcite precipitation (PCP) can in some cases subsequently modify the <inline-formula><mml:math id="M139" 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> signature in cave dripwater <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx58" id="paren.51"/>, recent approaches using <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> as an independent PCP indicator allow calculation of the initial <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> defined by the soil and vegetation processes from the measured <inline-formula><mml:math id="M142" 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>
<xref ref-type="bibr" rid="bib1.bibx90 bib1.bibx46" id="paren.52"/> (parameters are given in Appendix B). The relative temperature indicator <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is likely to be more sensitive in a colder climate, as then the overall soil <inline-formula><mml:math id="M144" 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> is lower and <inline-formula><mml:math id="M145" 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 soil <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> follows the Keeling mixing line <xref ref-type="bibr" rid="bib1.bibx44" id="paren.53"/>.</p>
      <p id="d2e2561">The temperature sensitive indicator <inline-formula><mml:math id="M147" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is criticial for this work, because Northwestern Iberia is also particularly sensitive to AMOC-driven changes in temperature (global maps in Appendix, Fig. <xref ref-type="fig" rid="FA5"/>). A switch from a strong to weak AMOC state in the early deglaciation drives surface air temperature changes of up to <inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in NW Iberia for all seasons in our simulations (Fig. <xref ref-type="fig" rid="F1"/>c), a finding in agreement with previous studies highlighting the Eastern North Atlantic sensitivity to AMOC strength variation in the context of millennial-scale variability <xref ref-type="bibr" rid="bib1.bibx105" id="paren.54"/>. In contrast, the moisture availability within the region remains similar across such transitions (Fig. <xref ref-type="fig" rid="F1"/>d). Over the entire last deglaciation other processes besides AMOC variability may have influenced North Iberian surface temperatures such as changes in arctic sea ice extent and export <xref ref-type="bibr" rid="bib1.bibx16" id="paren.55"/>, atmospheric circulation <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx7" id="paren.56"/> as well as further changes in global climate feedbacks and insolation (e.g. <xref ref-type="bibr" rid="bib1.bibx1" id="altparen.57"/>). Thus, attributing the well-dated NISA temperature changes to a change in AMOC strength follows a combined assessment with other proxy archives indicating variation in AMOC strength in the studied interval <xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx62 bib1.bibx69" id="paren.58"/>.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>The deglacial North Atlantic climate record of Glas</title>
      <p id="d2e2627">The stalagmite named “Glas” originates from the NISA cave “La Vallina” (<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8067</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> W, <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">43.4100</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> N), located 4 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from the modern coastline. Twenty-five new <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> dates, with analytical errors of less than 100 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>, constrain the chronology of Glas between 24–12 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>; and potential variations in growth rates are assessed through comparison with <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> measurements (Fig. <xref ref-type="fig" rid="F2"/>, Table <xref ref-type="table" rid="TA1"/>, Figs. <xref ref-type="fig" rid="FA1"/> and <xref ref-type="fig" rid="FA2"/>). Annual growth rate averages 4 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, but drops to 1 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> around 13 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>. By using combined aliquots of the same sample powder for Uranium-Thorium dating as have been used for high-resolution stable isotope analysis, a fully consistent age model with minimized depth uncertainties is attained for the sequence of isotopic events despite the slow growth rate. The slow growth rates and the lack of seasonal laminations in Glas suggest that the speleothem has been growing from a matrix-fed drip, which, at the depth of the cave passage (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), may have continued dripping throughout the year. At the depth of the cave passage, the seasonal soil temperature cycle is muted, while overall temperatures are expected to remain above freezing even under a weak AMOC state (e.g. model results in <xref ref-type="bibr" rid="bib1.bibx92" id="altparen.59"/>, Fig. 8). Featuring this improved age model, Glas supersedes the prior NISA stack for the last deglaciation, but the main features of Glas have been validated in other NISA records (Appendix, Fig. <xref ref-type="fig" rid="FA4"/>). The record features a several abrupt transitions within <inline-formula><mml:math id="M162" 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> and <inline-formula><mml:math id="M163" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, which are summarized in Table <xref ref-type="table" rid="T1"/>.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>North Atlantic surface ocean freshening history</title>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>LGM evolution</title>
      <p id="d2e2806">Our new record from Glas captures the end of Heinrich Stadial 2 (HS2) with a trend to more saline conditions in the North Atlantic indicated by the shift to a heavier <inline-formula><mml:math id="M164" 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> signature (event <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.4</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, see Table <xref ref-type="table" rid="T1"/> and Fig. <xref ref-type="fig" rid="F3"/>), and the coincident rapid recovery to warmer temperatures evident by a shift to more negative <inline-formula><mml:math id="M166" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (event <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.6</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). The observed warming likely reflects a strengthening of AMOC after HS2, which results in a more efficient dispersal/removal of <inline-formula><mml:math id="M168" 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> anomalies from the surface ocean, a process highlighted by our modeling results for which the NISA melt source Contribution Index is dampened if the AMOC is stronger for all meltwater source origin sites (Fig. <xref ref-type="fig" rid="F1"/>e). Our chronology is consistent with the proposition that the HS2 phase of Southern BIIS retreat and associated enhanced MW flux to the ocean ended around 23.5 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>, aligning with the Southern European Ice sheet (EIS) events found in sediment cores <xref ref-type="bibr" rid="bib1.bibx93" id="paren.60"/>. The ice sheet model GLAC-1D <xref ref-type="bibr" rid="bib1.bibx36" id="paren.61"/>, which has been used to force transient deglacial climate simulations in a number of studies previously <xref ref-type="bibr" rid="bib1.bibx85" id="paren.62"/>, suggests a slightly later timing of peak meltwater delivery from the Southern Laurentide ice sheet (LIS) via the Labrador Sea and the Gulf of Mexico  as well as some meltwater discharging into the Arctic region (Fig. <xref ref-type="fig" rid="F3"/>a and b.; extended discussion and ice sheet mass loss maps in Appendix A4, Fig. <xref ref-type="fig" rid="FA7"/>). Thus, the new Glas record suggests that either the GLAC-1D model shows these elevated melt events around 500 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> too late, or despite a persistently high meltwater discharge, AMOC has restrengthened and successfully dissipated the surface <inline-formula><mml:math id="M171" 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> anomaly from a LIS meltwater pulse postdating HS2.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2929">Speleothem record Glas and its relationship to last deglaciation ice sheet history and AMOC strength. <bold>(a)</bold> Snapshots of GLAC-1D ice sheet history at key intervals <xref ref-type="bibr" rid="bib1.bibx36" id="paren.63"/>. <bold>(b)</bold> River-routed MW delivered to the three key ocean regions identified in Fig. <xref ref-type="fig" rid="F1"/>, computed in <xref ref-type="bibr" rid="bib1.bibx73" id="text.64"/> from the GLAC-1D ice sheet reconstruction. <bold>(c)</bold> Simplified history of proposed MW discharge events from different Northern Hemisphere ice sheet sectors in sedimentary archives, broadly: the Northern Laurentide <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx70" id="paren.65"/>, Southern Laurentide <xref ref-type="bibr" rid="bib1.bibx100" id="paren.66"/>, Channel River discharge <xref ref-type="bibr" rid="bib1.bibx93" id="paren.67"/>, and distally transported iceberg rafted debris (IRD) concentration at site U1308 <xref ref-type="bibr" rid="bib1.bibx34" id="paren.68"/>;  simplified (Appendix, Fig. <xref ref-type="fig" rid="FA6"/>). The new data of Glas (this study) is plotted in <bold>(d)</bold> the position of <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> ages (black diamonds), their associated analytical age uncertainty (black errorbars) and schematic representation of resulting age model uncertainty (grey shading); <bold>(e)</bold> <inline-formula><mml:math id="M173" 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>, used as a proxy for surface ocean freshening, and  <bold>(f)</bold> <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, used as a proxy for surface air temperature above the cave. The triangles in both Glas time series mark the location of the midpoints of abrupt events discussed in this manuscript, with the nomenclature introduced in Table <xref ref-type="table" rid="T1"/>. <bold>(g)</bold> 9-point average composite <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pa</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> ratio inferred to respond to AMOC strength <xref ref-type="bibr" rid="bib1.bibx62" id="paren.69"/>. The brown fill reflects the 2-<inline-formula><mml:math id="M176" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> standard error of the composite and the grey dots the individual composite data points.</p></caption>
            <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f03.png"/>

          </fig>

      <p id="d2e3051">A subsequent episode of melting from 22.5 to 21.5 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> is suggested by a small, gradual decrease in <inline-formula><mml:math id="M178" 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> of <inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, which returns to previous levels between 21.5–20.5 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>. Sustained freshening begins around 20.5 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>, marked by a gradual decrease of <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M184" 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> over 2 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ky</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F3"/>). This progressive freshening confirms the presence of MW in the eastern North Atlantic, for which a source could be melt from the Scandinavian ice-sheet (SIS) as previously suggested by Nd isotope provenance of detrital minerals delivered into the Bay of Biscay <xref ref-type="bibr" rid="bib1.bibx93" id="paren.70"/>.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Abrupt freshwater increase at 17.80 ka</title>
      <p id="d2e3156">An abrupt freshening (<inline-formula><mml:math id="M186" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.58 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M188" 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> in <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">313</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">161</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">204</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> years, event <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.8</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Table <xref ref-type="table" rid="T1"/>) occurrs centered around its midpoint at 17.8 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> and which we interpret as the onset of Heinrich Stadial 1, with other regional Iberian speleothem records also indicating negative <inline-formula><mml:math id="M192" 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> shift around this time (OST2, <xref ref-type="bibr" rid="bib1.bibx8" id="altparen.71"/>). This freshening may reflect accelerated ice sheet melting in various regions (Fig. <xref ref-type="fig" rid="F3"/>c). For example, there is evidence of elevated freshwater drainage from the Southern Laurentide to the Gulf of Mexico <xref ref-type="bibr" rid="bib1.bibx100" id="paren.72"/>, and reconstructions of EIS evolution <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx14" id="paren.73"/> suggest a strong likelihood that SIS and BIIS separated by 18 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. The river-routed GLAC-1D ice model time series suggests discharge mainly into the Arctic, but since our dye tracking indicates that freshwater discharged into the Arctic produces only a weak signal in our speleothem record (Fig. <xref ref-type="fig" rid="F1"/>e), the strong and abrupt freshening signal recorded by Glas at 17.8 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> rather suggests that at least part of the associated melt from the overall EIS retreat, visualised in the maps in Fig. <xref ref-type="fig" rid="F3"/>a, were delivered to the GIN Seas and Eastern North Atlantic directly. This route would be consistent with the high terrestial input through the channel river recorded at that time <xref ref-type="bibr" rid="bib1.bibx93" id="paren.74"/>. Although the NISA Melt Source Contribution Index (Fig. <xref ref-type="fig" rid="F1"/>e) shows that  the elevated freshening levels could alternatively be explained by a simultaneous weakening of AMOC amplifying the signal in the North Atlantic surface ocean, on the identical chronology of GLAS we find no evidence of a major AMOC weakening at this time (see Sect. <xref ref-type="sec" rid="Ch1.S3.SS4.SSS2"/>).</p>
      <p id="d2e3295">The phase of elevated freshening is directly followed by a period of sustained low <inline-formula><mml:math id="M195" 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>, indicating that the sources and sinks of a MW-induced <inline-formula><mml:math id="M196" 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> anomaly were in balance over the next 1500 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>. A negative <inline-formula><mml:math id="M198" 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> value from a freshwater pulse can be subsequently sustained despite lowered meltwater delivery if AMOC is weak, especially if the MW discharge region (i.e. GIN Seas and NE Atlantic) is close to our study site (Fig. <xref ref-type="fig" rid="F1"/>b). In this case, sustained low <inline-formula><mml:math id="M199" 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> values in a weak AMOC state could potentially also mask limited ice sheet regrowth, as suggested in <xref ref-type="bibr" rid="bib1.bibx100" id="text.75"/>. Alternatively, marine records from the Hudson Strait indicate elevated meltwater delivery to the Atlantic <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx21" id="paren.76"/>, which could provide an additional source to sustain the Glas <inline-formula><mml:math id="M200" 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> anomaly provided that the AMOC remains relatively vigorous.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>Transient freshening from 16.5 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> through the Bølling-Allerød </title>
      <p id="d2e3398">A first smaller excursion with a midpoint at 16.4 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> and a change of  <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M204" 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>, is followed by two larger events with transition midpoints at 16.1 and 15.3 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> with a shift around <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> each (Table <xref ref-type="table" rid="T1"/>). All events are short-lived and dissipate from the subtropical North Atlantic in a few hundred years. The latter two events coincide with the radiocarbon age estimates for two distinct central North Atlantic ice rafted debris (IRD) peaks (Fig. <xref ref-type="fig" rid="F3"/>c), which have been interpreted as two episodes of enhanced iceberg calving from the Laurentide Ice Sheet related to Heinrich Event 1 <xref ref-type="bibr" rid="bib1.bibx34" id="paren.77"/>. Such a twin-peak structure has also been achieved with simulations considering dynamic meltwater re-routing, which produces a second wave of enhanced Laurentide iceberg calving around 1000 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> after the first episode <xref ref-type="bibr" rid="bib1.bibx109" id="paren.78"/>. In addition, all events feature an abrupt onset of the negative <inline-formula><mml:math id="M208" 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> anomaly but a gradual dissipation of the anomaly, which is consistent with a binge-purge mechanism suggested for Heinrich events <xref ref-type="bibr" rid="bib1.bibx52" id="paren.79"/>. Alternatively, the timing of the later 15.3 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> freshening pulse is within age uncertainty of the most likely timing for Cordillerean-Laurentide (CIS-LIS) ice saddle collapse (<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.226</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx63" id="altparen.80"/>).</p>
      <p id="d2e3553">At the onset of the Bølling-Allerød (BA), in our record centered at <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.68</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> (Table <xref ref-type="table" rid="T1"/>), the subpolar North Atlantic <inline-formula><mml:math id="M214" 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> relaxes back quickly to values characterizing the plateau following the freshening at 17.8 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. This decline is analagous to the end of HS2 (<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.4</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), where in both instances the AMOC likely re-strenghtened, promoting the accelerated removal of the surface ocean anomalies as predicted by our model (Fig. <xref ref-type="fig" rid="F1"/>e). The remainder of the Glas record (until 12.5 <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>) exhibits higher variability in <inline-formula><mml:math id="M218" 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>, with numerous high amplitude, short lived freshening pulses. While some of the variability might also be caused by the decrease in growth rate at that point, we propose that the continued ice sheet shrinkage (Fig. <xref ref-type="fig" rid="F3"/>a) causes a greater vulnerability to climate change, creating more reactive ice sheets, and that together with a stronger AMOC (compared to the earlier deglaciation) explains the observed higher variability in <inline-formula><mml:math id="M219" 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>. Surprisingly, the rapid and large (14–18 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) sea-level rise termed Meltwater Pulse 1A (MWP-1A), thought to have occurred around the start of the BA at approximately 14.6 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx30" id="paren.81"/>, appears only as a minor freshening anomaly in our record. Potentially, Northern Hemisphere ice-sheet melt during MWP-1A was lower than previously suggested, with the total sea-level rise instead explained by a larger contribution from the West Antarctic Ice Sheet <xref ref-type="bibr" rid="bib1.bibx17" id="paren.82"/>. Further, consistent with our modeling (Fig. <xref ref-type="fig" rid="F1"/>e), a more vigorous AMOC may have efficiently downwelled surface freshwater anomalies, such that even strong Northern Hemisphere freshening would lead to only short-lived and more muted surface ocean anomalies in the North Atlantic.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Iberian temperatures and relationship to freshening</title>
<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>AMOC insensitive to gradual freshening during the LGM</title>
      <p id="d2e3705">The new <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> record from Glas provides a direct speleothem chronology for a relative regional temperature evolution in the North Atlantic region (Fig. <xref ref-type="fig" rid="F3"/>f). The Glas record highlights the warmer temperatures of the early LGM, followed by a significant cooling 21.5–20.5 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> to values sustained through the late LGM. This cooling is likely a global cooling, as it follows closely the timing of the LGM sea level lowstand <xref ref-type="bibr" rid="bib1.bibx102" id="paren.83"/>. During the two periods of very gradual freshening of the early and late LGM intervals, the stable temperatures indicated by <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> suggests that AMOC is too stable and/or the MW forcing is too gradual and insufficient to disrupt convection at this time.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>Delayed AMOC response to HS1 freshening </title>
      <p id="d2e3768">The rather sustained temperatures over the late LGM in northern Iberia are followed by a rapid decline to coldest temperatures during the earliest part of HS1. Previous studies have interpreted the increased <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pa</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> ratio in marine sediment cores as an indicator of weakened AMOC during HS1 (Fig. <xref ref-type="fig" rid="F3"/>g), but distal changes in surface productivity and boundary scavenging are now hypothesized to drive a significant fraction of this signal <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx78" id="paren.84"/>. Additionally, the composite <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pa</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> record by <xref ref-type="bibr" rid="bib1.bibx62" id="text.85"/> integrates results from multiple sediment cores all with greater uncertainty on age models than the Glas chronology, so the rate and chronology of circulation and associated biogeochemical cycle changes cannot be precisely inferred from the composite <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pa</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> proxy record. However, a substantial weakening of AMOC over HS1 remains plausible considering also the signals detected in other proxy systems <xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx69" id="paren.86"/>. Further, during the early stages of the last deglaciation, temperature changes are typically not manifest in Greenland ice core (NGRIP) <inline-formula><mml:math id="M228" 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> (Fig. <xref ref-type="fig" rid="F4"/>a) because a decrease in winter rainfall changes the overall annual <inline-formula><mml:math id="M229" 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> signature and cancels the temperature effect <xref ref-type="bibr" rid="bib1.bibx33" id="paren.87"/>. Critically, Glas suggest gradual cooling temperatures starting around 19 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, however, compared to the described abrupt freshening <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.8</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Table <xref ref-type="table" rid="T1"/>), the <inline-formula><mml:math id="M232" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> indicates that regional surface air temperature initially remained stable, but significantly cooled only <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">810</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">153</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">375</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> years later, around 17.0 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (event <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.0</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, Table <xref ref-type="table" rid="T1"/>). Because both isotope records derive from the same powders, this reflects a genuine lag between the two series. As has been shown by model studies <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx97" id="paren.88"/>, the abrupt temperature change within the European realm and at NISA cave locations is a key characteristic of a transition into a weak AMOC state (see Fig. <xref ref-type="fig" rid="F1"/>c). We, accordingly, interpret the Glas record such that, even though subtropical North Atlantic surface freshening peaked over the <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.8</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> event (Table <xref ref-type="table" rid="T1"/>) and the circulation strength might have weakened in concert with the temperature decline after 19 <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the most effective AMOC weakening did occur later, at <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.03</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.36</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.0</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, Table <xref ref-type="table" rid="T1"/>), where the coldest deglacial temperatures at our site were reached. In Glas our sampling technique prioritizes a tight chronological control by splitting power for dating and iostope proxies, but this may underestimate the magnitude of the cooling by smoothing across the layers covering the most extreme cold period.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e4024">Abrupt events over the last deglaciation recorded in Glas and their temporal relationship to published proxy data featuring highly resolved independent age control and a relationship to AMOC strength. Temperature evolution adjacent to the North Atlantic is shown by <bold>(a)</bold> the Greenland ice core on GCC05 timescale <xref ref-type="bibr" rid="bib1.bibx64" id="paren.89"/> and <bold>(b)</bold> the alpine speleothem record NALPS <xref ref-type="bibr" rid="bib1.bibx51" id="paren.90"/>, and compared to Glas (<bold>c–d</bold>, this study). The transition midpoints, summarized in Table <xref ref-type="table" rid="T1"/> are displayed throughout the entire figure as upward and downward facing triangles indicating abrupt changes in <inline-formula><mml:math id="M241" 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> and <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. Glas is further compared to <bold>(e)</bold> <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from West Antarctica ice core <xref ref-type="bibr" rid="bib1.bibx53" id="paren.91"/> and, <bold>(f)</bold>, Chinese Speleothem record YT from Hulu Cave recording changes in the East Asian Summer Monsoon (EASM) <xref ref-type="bibr" rid="bib1.bibx104" id="paren.92"/>.  The concurrent shifts in South American Summer Monsoon and drying over Puerto Rico are shown through the Brazilian speleothem record PX-7 <xref ref-type="bibr" rid="bib1.bibx91" id="paren.93"/> and Larga cave record PR-LA-1 <xref ref-type="bibr" rid="bib1.bibx98" id="paren.94"/>. The errorbars of the transition midpoints indicate the 95 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">CI</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
            <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f04.png"/>

          </fig>

      <p id="d2e4123">In many cases the weakening of AMOC scales directly and almost immediately with freshwater forcing <xref ref-type="bibr" rid="bib1.bibx85" id="paren.95"/>, however, this is not necessarily true if the forcing is not strong enough, not well located, or the background state of the ocean is not (yet) sensitive enough <xref ref-type="bibr" rid="bib1.bibx97 bib1.bibx75" id="paren.96"/>. We propose that the delayed cooling after the first abrupt freshwater input (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.8</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, Table <xref ref-type="table" rid="T1"/>) reflects the need to build up a positive subsurface salinity anomaly or/and a required <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> level to cross an AMOC threshold and trigger its weakening. The required delay is expected to depend on the meltwater forcing properties, internal ocean structure and ice sheet geometry <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx75" id="paren.97"/>. Additionally, already before the rapid decline, <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> shows early signs of a prior slight weakening, which would be consistent with a mechanism involving the build-up of subsurface anomalies  <xref ref-type="bibr" rid="bib1.bibx2" id="paren.98"/>. The period of most extreme cooling was brief and recovered back to near late-LGM levels without any evident change in North Atlantic surface freshwater conditions. Alternatively or in addition, the weakening could have been triggered directly by additional local meltwater close to the convection centres, e.g. in the Norwegian Seas.</p>
      <p id="d2e4184">The sequence of the Glas record and its comparison to radiocarbon dated IRD events <xref ref-type="bibr" rid="bib1.bibx34" id="paren.99"/> both suggest that cooling has preceeded the large discharge of icebergs into the North Atlantic associated with Heinrich Event 1 by a bit more than 800 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> (events <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.1</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.3</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Table <xref ref-type="table" rid="T1"/>). A similar sequence of events with a lag between initial surface ocean cooling by planktic <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> and peak IRD abundance was recorded within a single core on the Iberian Margin <xref ref-type="bibr" rid="bib1.bibx82" id="paren.100"/> as well as in <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">NPS</mml:mi></mml:mrow></mml:math></inline-formula> to IRD abundance in core ODP983 <xref ref-type="bibr" rid="bib1.bibx5" id="paren.101"/>.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS3">
  <label>3.4.3</label><title>Temperature response to transient freshwater from 16.5 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> onward</title>
      <p id="d2e4273">Coinciding with the negative shift in <inline-formula><mml:math id="M254" 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> at 16.1 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (Table <xref ref-type="table" rid="T1"/>) is a very short-lived cooling, for which the precise duration and magnitude cannot be well constrained due to very slow growth rates. Notably, a similarly short-lived cooling also accompanied the largest freshwater pulse of the Penultimate Deglaciation (MWPTII-B around 134.25 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</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.bibx89" id="altparen.102"/>). Such brief episodes could link to the presence of faster, potentially atmospheric, pathways, reorganizing global circulation patterns <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx26" id="paren.103"/>, as well as the expression of a direct AMOC response due to more freshwater forcing <xref ref-type="bibr" rid="bib1.bibx85" id="paren.104"/> or simply North Atlantic sea ice expansion in response to freshening. In sharp contrast, no temperature response is present for the subsequent freshening (<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.3</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, Table <xref ref-type="table" rid="T1"/>), which we hypothesize indicates that this pulse was not able to alter AMOC strength any further.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS4">
  <label>3.4.4</label><title>Meltwater forcing and AMOC restrengthening in the Bølling-Allerød</title>
      <p id="d2e4348">The progressive decay of the MW anomaly in HS1d following the negative peak after event <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.3</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, suggests that the anomaly in the eastern North Atlantic was diminishing already before the the Bølling-Allerød (BA) warming, which is recorded in Glas <inline-formula><mml:math id="M259" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.62</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.6</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, Table <xref ref-type="table" rid="T1"/>), a timing indistinguishable from that in NGRIP <xref ref-type="bibr" rid="bib1.bibx64" id="altparen.105"/>), see Fig. <xref ref-type="fig" rid="F4"/>. The abrupt BA warming coincided with a subsequent steep increase in Glas <inline-formula><mml:math id="M263" 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>, which might be related to a decrease in freshwater input in the surface ocean North Atlantic but could also reflect a decrease in surface ocean accumulation due to the accelerated advection and downwelling due to AMOC strengthening as suggested by the NISA melt source contribution index (Fig. <xref ref-type="fig" rid="F1"/>e) and as previously hypothesized in Sect. <xref ref-type="sec" rid="Ch1.S3.SS3.SSS3"/>. While having less freshwater in the North Atlantic may have facilitated the resumption of AMOC at the BA onset, the Glas record suggests a surface freshwater anomaly comparable to the end of the prior freshening event <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.8</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, where there was no evidence of AMOC restrengthening. Thus, instead of changes in NH MW, the initial trigger for BA warming might be the crossing of a AMOC sensitivity threshold related to the evolving climate and ocean boundary conditions or located within the Southern Hemisphere cryosphere.</p>
      <p id="d2e4465">Within BA, the <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> record indicates two warm phases separated by a cooling initiating around 14 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, potentially consistent with the onset of the Older Dryas (e.g. as seen in NGRIP <xref ref-type="bibr" rid="bib1.bibx64" id="altparen.106"/>), while the ice core resolves here more detail <xref ref-type="bibr" rid="bib1.bibx12" id="paren.107"/>. Here, the slowed growth rate makes the Glas record potentially more smoothed and the age model more uncertain – complicating precise chronological constraints for this cooling event, and we therefore discourage detailed comparison using the Glas record during this younger interval. We note that temperature broadly tracks changes in <inline-formula><mml:math id="M267" 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>, consistent with AMOC strength responding to meltwater input as in most hosing simulations <xref ref-type="bibr" rid="bib1.bibx85" id="paren.108"/>, during the early BA (14.7–13.7 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, approximately). In contrast, no clear temperature response is evident during the later BA (13.7–12.6 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, approximately), suggesting a shift toward reduced sensitivity to meltwater inputs.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Comparison with impacts beyond the North Atlantic Realm</title>
      <p id="d2e4552">We evaluate the relationship of North Atlantic abrupt freshening and temperature change events to other aspects of the global climate system recorded in archives posessing an absolute layer counted ice core or speleothem <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> chronology (Fig. <xref ref-type="fig" rid="F4"/>). Because the expected ocean circulation changes during HS1 complicate assumptions about ocean reservoir ages and thus limiting the accuracy of radiocarbon chronologies in sediment cores <xref ref-type="bibr" rid="bib1.bibx83" id="paren.109"/>, we do not include marine archives in the comparison presented here. The following analysis concentrates on the abrupt transitions that have been described previously in the manuscript (Table <xref ref-type="table" rid="T1"/>).</p>
<sec id="Ch1.S3.SS5.SSS1">
  <label>3.5.1</label><title>Propagation of the signal to North Atlantic–adjacent archives</title>
      <p id="d2e4581">In other published Iberian speleothems covering the same time, namely OST2 <xref ref-type="bibr" rid="bib1.bibx8" id="paren.110"/> and MAAT <xref ref-type="bibr" rid="bib1.bibx67" id="paren.111"/>, due to the respective cave systems, the <inline-formula><mml:math id="M271" 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> signal is likely to be affected not only by the meltwater signal (as recorded in Glas) but also additional influence from changes in temperature and moisture availability  (extended discussion and records shown in Appendix A5).</p>
      <p id="d2e4603">Over the Northern Hemisphere, specifically over Europe and Greenland, cooler temperatures can be expected with a weakening of AMOC. The onset of such a cooling, described as a shift in storm track and local rainfall patterns, has been detected in the NALPS record <xref ref-type="bibr" rid="bib1.bibx51" id="paren.112"/>. NALPS (Fig. <xref ref-type="fig" rid="F4"/>b), in many instances, follows the structure of the Greenland ice core NGRIP (Fig. <xref ref-type="fig" rid="F4"/>a), as has been shown by <xref ref-type="bibr" rid="bib1.bibx51" id="text.113"/> and <xref ref-type="bibr" rid="bib1.bibx47" id="text.114"/>. However, here we would like to emphasize that the onset of HS1, around 18 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, is more pronounced in the NALPS record than in NGRIP and we suggest two factors contributing. Firstly, as previously noted, winter rainfall is expected to decrease with a AMOC weakening over Greenland, which is a process that is likely mitigating the impact of temperature change on the <inline-formula><mml:math id="M273" 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> recorded in the Greenland ice core <xref ref-type="bibr" rid="bib1.bibx33" id="paren.115"/>. Secondly, the sudden shift recorded in NALPS is a shift towards more negative <inline-formula><mml:math id="M274" 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>, which, in the context of this work and modeling evidence presented by <xref ref-type="bibr" rid="bib1.bibx108" id="text.116"/>, could also be amplified through a change in moisture source isotopic composition, caused by the addition of meltwater to the North Atlantic surface ocean. Further, in NGRIP, the start of GS-2.1a has been placed at <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.43</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.33</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, which is in agreement with the pronounced cooling in Glas at <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.03</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.36</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">003</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.0</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) when respecting the associated age uncertainties. In all those records the onset of the BA is pronounced and with a timing indistinguishable from the one in Glas, emphasizing the synchronized structure of this transition further.</p>
      <p id="d2e4733">More evidence for a concurrent re-organization of the North Atlantic ocean and atmosphere circulation patterns over HS1 stems from Brazil speleothems (Fig. <xref ref-type="fig" rid="F4"/>h), which record the southward shift of ITCZ precipitation during AMOC weakenings. Brazil speleothem PX-7 from Paixão cave suggests two episodes of intensification of the South American monsoon system from 18.1 to 16.66 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, and from 16.11–14.69 <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</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.bibx91" id="paren.117"/>. While broadly consistent with the Glas record, this first intensification is slightly earlier than the abrupt signal in Glas. We hypothesize, that this difference could also be related to feedbacks not only with the ocean but also the Northern Hemisphere ice sheet thickness altering global monsoon systems (see e.g. Fig. 3 in <xref ref-type="bibr" rid="bib1.bibx27" id="altparen.118"/>), resulting in a shift in the recorded timing between PX-7 and Glas. A similar structure with two phases of drier conditions, similarly related to hydroclimate re-organization, has also been found in the Puerto Rico speleothem PR-LA-1 (Fig. <xref ref-type="fig" rid="F4"/>g), with a reported onset at approximately 17.5 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</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.bibx98" id="paren.119"/>.</p>
</sec>
<sec id="Ch1.S3.SS5.SSS2">
  <label>3.5.2</label><title>Monsoon and the Westerly Jet over Asia</title>
      <p id="d2e4791">Isotope-enabled models suggest that millennial scale positive anomalies in the <inline-formula><mml:math id="M283" 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> in rainfall and speleothems from the East Asian summer monsoon domain (EASM) reflect reduced intensity of convection and rainfall over the Indian summer monsoon and southward-shifted westerly jet enhancing southern EASM rainfall and reducing northern EASM rainfall <xref ref-type="bibr" rid="bib1.bibx32" id="paren.120"/>. The EASM record from Hulu Cave (Fig. <xref ref-type="fig" rid="F4"/>d) features a positive shift in <inline-formula><mml:math id="M284" 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> from 17.8–17.5 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> suggesting a southward shift of the westerly jet concurrent or slightly lagging the first abrupt North Atlantic freshening found in Glas (<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.8</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Thus, the shift in the westerly jet may have preceeded the subsequent abrupt cooling in Glas (<inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.0</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), which is a further indicator that beside the ocean feedbacks with the cryosphere, namely changes in SBKIS and the separation of SIS and BIIS <xref ref-type="bibr" rid="bib1.bibx35" id="paren.121"/>, might have been affecting the atmospheric circulation and even facilitate the extreme cooling and AMOC weakening around 17.0 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. Alternatively, already earlier slight weakening of AMOC, as suggested by the gradual cooling in Glas from 19 <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> onwards, might have been sufficient in order to alter the EASM rainfall patterns.</p>
      <p id="d2e4885">Centered around 16.1 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the freshening signal and cooling recorded in Glas is concurrent with the abrupt positive <inline-formula><mml:math id="M291" 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> shift indicating a rapid southward shift of the Westerly jet in phase with the North Atlantic freshening in that interval. The recovery of the jet position is coincident with the relaxation of the freshwater anomaly. The freshening recorded at 15.3 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, in contrast, has no corresponding changepoint in the EASM record, similar to the previously discussed Iberian record OST2. This may reflect that it was another pulse of freshwater into an already weak AMOC, which triggered no further cooling. Such an interpretation also strengthens our prior hypothesis based on the NISA melt source contribution index that the surface freshening anomaly originates from a source that makes it well visible in Glas, but less effective in further disrupting AMOC, such as meltwater from the Gulf of Mexico (Fig. <xref ref-type="fig" rid="F1"/>e), consistent with the most likely timing of CIS-LIS breakup <xref ref-type="bibr" rid="bib1.bibx63" id="paren.122"/>. In addition, any further effect of freshwater on the Westerly Jet may have been compensated for by the atmospheric effects of changes in LIS height <xref ref-type="bibr" rid="bib1.bibx95" id="paren.123"/>. At the onset of the BA event, the rapid northward shift of the Westerly Jet is synchronous with the abrupt warming, confirming previous interpretations of a coherent global response to AMOC reinvigoration <xref ref-type="bibr" rid="bib1.bibx69" id="paren.124"/>. Overall, our findings imply that while millennial scale variations in the <inline-formula><mml:math id="M293" 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> from speleothems in the EASM do share many features with the North Atlantic realm, it is not an exact copy of its ocean dynamics and caution is needed when tuning the centennial to millennial scale features of North Atlantic records directly to an EASM signal.</p>
</sec>
<sec id="Ch1.S3.SS5.SSS3">
  <label>3.5.3</label><title>Links between AMOC and atmospheric <inline-formula><mml:math id="M294" 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> rise</title>
      <p id="d2e4968">The onset of the first rapid deglacial atmospheric rise in <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F4"/>e) has been hypothesized to be “broadly coincident” with the reduction in AMOC strength  <xref ref-type="bibr" rid="bib1.bibx53" id="paren.125"/>, but hitherto, this has been difficult to evaluate since the NGRIP ice core does not mark well the HS1 cooling. The results from Glas indicate that the first centuries of rapid <inline-formula><mml:math id="M298" 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> rise, like the shift in the EASM, began with, or slightly after the freshening, and the rise might be conditioned by a gradual AMOC weakening following 19 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>  but the timing is distinct from the abrupt cooling recorded in Glas at 17.0 <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. This sequence of events should be further studied in more non-bioturbated high resolution North Atlantic records, but we thus hypothesize here that the first centennial carbon cycle response could rather be linked to rapid atmospheric reorganization, e.g. related to changes in ice sheet or also to more southern influences <xref ref-type="bibr" rid="bib1.bibx94" id="paren.126"/> and those predate the abrupt North Atlantic ocean re-organization at 17.0 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. Thereafter, the millennial scale <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increase corresponds to the coldest period in NW Iberia, interpreted to reflect the weakest AMOC (Fig. <xref ref-type="fig" rid="F4"/>c). Further, both the small precursor freshening at 16.4 <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> and the larger event at 16.1 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> are visible as abrupt <inline-formula><mml:math id="M305" 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> rise, with the latter confirming the global nature of the ongoing changes around 16.1 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. Interestingly, there is a small <inline-formula><mml:math id="M307" 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> excursion at the following freshening event <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.4</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which might hint to concurrent processes occurring in Antarctica (e.g. see <xref ref-type="bibr" rid="bib1.bibx48" id="altparen.127"/>). In the aftermath of the synchronized rise with the onset of BA around 14.7 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, it has been suggested that the plateau may reflect a balance between ocean <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission and uptake of <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by regrowth of the terrestrial biosphere  <xref ref-type="bibr" rid="bib1.bibx53" id="paren.128"/>, which may be consistent with continued reduction of the NH ice sheet area evidenced by persistent MW pulses. Alternatively, the <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> content of waters ventilating in the Southern Ocean may be stabilizing through this later part of HS1 <xref ref-type="bibr" rid="bib1.bibx103" id="paren.129"/>.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e5205">The new Northern Iberian stalagmite record from Glas resolves the timing of North Atlantic surface freshening anomalies from melting NH ice sheets during the last deglaciation (24–12 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>). After the LGM, a gradual freshening is followed by a series of transient freshening events with midpoints at <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.84</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.44</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.07</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.27</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. Many of these freshening pulses are present in river-routed time series of the GLAC-1D ice sheet model and meltwater-proxies from sediment cores, but the new Glas record provides a coherent, deglacial history with accurate <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> dating. Additionally, our combined analysis with model output suggests that for the first abrupt freshening around 17.8 <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, stalagmite and proxy time series are most consistent with European ice sheet origin but more southerly meltwater routing for the earliest event than derived from river-routed GLAC-1D estimation. With the onset of Bølling-Allerød, in Glas recorded around 14.7 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, the subpolar North Atlantic re-salinizies according to our data. The comparison with the modeled distribution data elucidates that this rapid decline of a negative surface ocean <inline-formula><mml:math id="M322" 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> anomaly is likely linked to the concurrent AMOC re-strengthening at this point. Critically, the new speleothem record shows only a very minor North Atlantic freshening coincident with the classically cited onset of MWP 1a around 14.6 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. We hypothesize based on our modeling that the minor signal could be caused by the very vigorous AMOC and rapid advection out of the surface, and/or that the melt event occured in multiple steps, involving also a more significant contribution from the southern hemispere.</p>
      <p id="d2e5377">Because this record also resolves regional temperature changes resulting from changes in AMOC strength, the record elucidates the evolution of AMOC sensitivity to local meltwater perturbations over the critical period of the last deglaciation. Slight gradual cooling, thus potentially early AMOC weakening, occurs after 19 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. However, while some of the following transient freshening events, namely the one at 16.1 <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, trigger immediate albeit brief intensification of the cooling suggestive of direct rapid AMOC weakening, the initial abrupt freshening is de-coupled from the most abrupt cooling, with the latter emerging around <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.03</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.36</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, this is <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:mn mathvariant="normal">810</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">153</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">375</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> years later. In contrast, the freshening event around  15.3 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> does not trigger further cooling nor can it be seen in global archives, thus likely did not further affect the AMOC. These varied responses of AMOC to meltwater in our new record re-enforce the view that there is not an ubiquitous response of AMOC to freshening in the North Atlantic but it is instead background state dependent. Yet, the similar timing of early meltwater pulses and GLAC-1D suggests that model difficulties simulating AMOC weakenings with GLAC-1D freshwater forcing may reflect challenges in simulating evolving AMOC sensitivity to freshening rather than erroneous timing of the meltwater forcing. Taken together, these results suggest non-linear dynamics within the coupled ice-ocean-climate system which invite advanced transient AMOC sensitivity studies and need to be further evaluated with precise model-data comparisons.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Supplementary Materials</title>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>The Glas sample and its connection to the NISA speleothem archive</title>
      <p id="d2e5488">Stalagmite Glas originates from the cave “La Vallina” in Northwest Iberia, which is one of the key caves in the Northwest Iberian Speleothem Archive (NISA) <xref ref-type="bibr" rid="bib1.bibx89" id="paren.130"/>. Glas is a very compact and translucent sample (Fig. <xref ref-type="fig" rid="FA1"/>). Glas has been selected for this detailed study because of the absence of any signs for non-contiunuous growth and for featuring a homogenous trace element structure, also when diverging from the main growth axis. Other NISA speleothems were revisited in the scope of this study, namely Candela and Laura (Fig. <xref ref-type="fig" rid="FA4"/>). Laura confirms the presence of a double-peak freshening structure before Bølling-Allerød warming occurs (data from <xref ref-type="bibr" rid="bib1.bibx89" id="altparen.131"/>). A set of new dates on Candela using the procedure outlined in this study, confirms the presence of a shift around 18.04 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>, but has also indicated condensed/ceased growth from 17.8 to 15.6 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (Table <xref ref-type="table" rid="TA1"/>).</p>

<table-wrap id="TA1" specific-use="star" orientation="landscape"><label>Table A1</label><caption><p id="d2e5529">New Uranium and thorium isotopic compositions and <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> ages for Glas (GLA) and Candela (CAN) samples analyzed by ICP-MS. U decay constants: <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mn mathvariant="normal">238</mml:mn><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.55125</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx39" id="paren.132"/> and <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mn mathvariant="normal">234</mml:mn><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.82206</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.133"/>. Th decay constant:  <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mn mathvariant="normal">230</mml:mn><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9.1705</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx13" id="paren.134"/>. <sup>*</sup> <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">234</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">234</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mtext>activity</mml:mtext><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula>.  <sup>**</sup> <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">234</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> initial was calculated based on <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> age (<inline-formula><mml:math id="M341" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), i.e. <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">234</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mtext>initial</mml:mtext><mml:mo>=</mml:mo><mml:mi>d</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">234</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mtext>measured</mml:mtext><mml:mo>×</mml:mo><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mn mathvariant="normal">234</mml:mn><mml:mo>×</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>. Corrected <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> ages assume the initial <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">232</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> atomic ratio of <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.   Those are the values for a material at secular equilibrium, with the bulk earth <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">232</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> value of 3.8.  The errors are arbitrarily assumed to be 50 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. <sup>***</sup> B.P. stands for “Before Present” where the “Present” is defined as the year 1950 A.D. The depth noted in the last column is the mid-depth of all isotope sample trenches combined for the <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> dating.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="20">
     <oasis:colspec colnum="1" colname="col1" align="left" colsep="1"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right" colsep="1"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right" colsep="1"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right" colsep="1"/>
     <oasis:colspec colnum="14" colname="col14" align="right"/>
     <oasis:colspec colnum="15" colname="col15" align="right" colsep="1"/>
     <oasis:colspec colnum="16" colname="col16" align="right"/>
     <oasis:colspec colnum="17" colname="col17" align="right" colsep="1"/>
     <oasis:colspec colnum="18" colname="col18" align="right"/>
     <oasis:colspec colnum="19" colname="col19" align="right" colsep="1"/>
     <oasis:colspec colnum="20" colname="col20" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1"><inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center" colsep="1"><inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">232</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center" colsep="1"><inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">232</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col8" nameend="col9" align="center" colsep="1"><inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">234</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col10" nameend="col11" align="center" colsep="1"><inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col12" nameend="col13" align="center" colsep="1"><inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> Age (<inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry namest="col14" nameend="col15" align="center" colsep="1"><inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> Age (<inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">yr</mml:mi></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry namest="col16" nameend="col17" align="center" colsep="1"><inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">234</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>a</mml:mi><mml:msup><mml:mi>l</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col18" nameend="col19" align="center" colsep="1"><inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> Age (<inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><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>)<sup>***</sup></oasis:entry>
         <oasis:entry colname="col20">Depth</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Number</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1">(<inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center" colsep="1">(<inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center" colsep="1">(atomic <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry namest="col8" nameend="col9" align="center" colsep="1">(measured) </oasis:entry>
         <oasis:entry namest="col10" nameend="col11" align="center" colsep="1">(activity) </oasis:entry>
         <oasis:entry namest="col12" nameend="col13" align="center" colsep="1">(uncorrected) </oasis:entry>
         <oasis:entry namest="col14" nameend="col15" align="center" colsep="1">(corrected) </oasis:entry>
         <oasis:entry namest="col16" nameend="col17" align="center" colsep="1">(corrected) </oasis:entry>
         <oasis:entry namest="col18" nameend="col19" align="center" colsep="1">(corrected)  </oasis:entry>
         <oasis:entry colname="col20">(corrected <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">GLA-I 2.65</oasis:entry>
         <oasis:entry colname="col2">782.3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">720</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1968</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">137.3</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1098</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">11 050</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">44</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">11 027</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">47</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">142</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">10 956</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">47</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">3.300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-G 3.95</oasis:entry>
         <oasis:entry colname="col2">837.0</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">77</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">23 137</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3088</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">137.4</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1285</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">13 038</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">51</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">13 036</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">52</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">143</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">12 965</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">52</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">4.525</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-F-5.1</oasis:entry>
         <oasis:entry colname="col2">598.7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1696</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">37</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">807</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">138.3</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1387</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0004</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">14 131</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">46</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">14 059</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">68</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">144</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">13 988</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">68</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">6.025</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-E 6.95</oasis:entry>
         <oasis:entry colname="col2">796.5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">126</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">14 401</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1661</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">139.3</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1378</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0005</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">14 020</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">14 016</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">145</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">13 945</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">7.700</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-D-8.45</oasis:entry>
         <oasis:entry colname="col2">540.9</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">68</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">18 337</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3652</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">140.5</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1399</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">14 230</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">64</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">14 227</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">64</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">146</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">14 156</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">64</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">9.050</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-C 9.65</oasis:entry>
         <oasis:entry colname="col2">543.4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">115</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">11 043</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1140</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">142.3</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1422</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0005</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">14 460</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">14 454</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">148</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">14 383</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">10 350</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-L 11.05</oasis:entry>
         <oasis:entry colname="col2">375.4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">154</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">5899</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">549</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">146.3</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1467</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0009</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">14 894</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">97</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">14 884</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">97</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">153</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">14 813</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">97</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">11 600</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-B 12.15</oasis:entry>
         <oasis:entry colname="col2">526.6</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">78</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">16 913</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4146</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">148.9</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1522</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0008</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">15 447</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">15 444</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">156</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">15 373</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">12 750</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-A-13.35</oasis:entry>
         <oasis:entry colname="col2">386.5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">144</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">6905</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">520</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">151.5</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1565</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">15 880</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">69</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">15 871</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">158</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">15 800</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">13 950</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-Z 14.85</oasis:entry>
         <oasis:entry colname="col2">490.4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">118</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">11 210</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1239</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">154.0</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1639</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">16 651</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">16 645</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">161</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">16 574</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">15 600</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-Y 16.35</oasis:entry>
         <oasis:entry colname="col2">543.9</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">328</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">4517</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">201</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">154.2</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1651</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">16 778</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">71</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">16 763</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">72</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">162</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">16 692</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">72</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">16 950</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-X 17.55</oasis:entry>
         <oasis:entry colname="col2">667.7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">88</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">21 551</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3173</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">155.1</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1721</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0005</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">17 532</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">62</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">17 529</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">62</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">163</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">17 458</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">62</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">18 225</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-W 18.9</oasis:entry>
         <oasis:entry colname="col2">735.8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">62</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">33 805</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5878</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">155.0</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1722</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0005</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">17 547</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">62</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">17 545</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">62</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">163</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">17 474</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">62</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">19 600</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-V 20.3</oasis:entry>
         <oasis:entry colname="col2">860.4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">89</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">28 385</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5490</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">154.8</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1776</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">18 141</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">67</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">18 138</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">67</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">163</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">18 067</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">67</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">20 900</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-U 21.5</oasis:entry>
         <oasis:entry colname="col2">490.0</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">27</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">53 786</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> 214</oasis:entry>
         <oasis:entry colname="col8">154.0</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1793</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0007</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">18 351</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">18 349</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">162</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">18 278</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">22 125</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-T-22.75</oasis:entry>
         <oasis:entry colname="col2">613.0</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">74</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">25 043</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4499</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">151.4</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1837</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0008</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">18 886</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">91</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">18 883</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">91</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">160</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M509" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">18 812</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">91</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">23 450</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-S-24.15</oasis:entry>
         <oasis:entry colname="col2">514.0</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">112</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">14 153</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1239</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">151.5</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1870</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0007</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">19 253</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">82</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">19 248</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">82</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">160</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">19 177</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">82</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">24 875</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-R 25.6</oasis:entry>
         <oasis:entry colname="col2">445.1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">46</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">30 053</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6324</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">153.2</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1891</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0007</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">19 455</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">87</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">19 452</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M526" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">87</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">162</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">19 381</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">87</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">26 225</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-P 28.4</oasis:entry>
         <oasis:entry colname="col2">451.1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">21</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">70 030</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> 585</oasis:entry>
         <oasis:entry colname="col8">149.6</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M532" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1963</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0005</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">20 331</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">20 330</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M535" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">158</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">20 256</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">29 000</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-O 29.6</oasis:entry>
         <oasis:entry colname="col2">454.5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">12</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">125 285</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">47</mml:mn></mml:mrow></mml:math></inline-formula> 103</oasis:entry>
         <oasis:entry colname="col8">151.4</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.2003</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">20 755</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">74</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">20 754</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">74</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">161</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">20 680</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">74</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">30 500</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-N 32.2</oasis:entry>
         <oasis:entry colname="col2">408.2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">22</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">62 430</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> 976</oasis:entry>
         <oasis:entry colname="col8">150.8</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.2085</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">21 701</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">21 700</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">160</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">21 626</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">33 100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-M 34.0</oasis:entry>
         <oasis:entry colname="col2">470.1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">24</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">68 338</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula> 962</oasis:entry>
         <oasis:entry colname="col8">149.3</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M559" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.2117</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">22 106</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">22 104</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">159</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">22 030</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">34 700</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-AA 35.44</oasis:entry>
         <oasis:entry colname="col2">426.8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">64</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">23 970</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2014</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">148.6</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.2172</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0007</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">22 755</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">81</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">22 752</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">81</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">158</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">22 678</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">81</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">36 000</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-AB 36.6</oasis:entry>
         <oasis:entry colname="col2">410.3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">24</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M575" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">62 653</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula> 661</oasis:entry>
         <oasis:entry colname="col8">147.4</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.2212</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0005</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">23 243</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">69</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">23 241</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">69</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">157</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">23 167</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">69</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">37 200</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GLA-AC 37.8</oasis:entry>
         <oasis:entry colname="col2">451.7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">60</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">27 912</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2419</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">148.9</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.2245</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0007</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">23 601</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M588" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">82</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">23 598</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">82</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">159</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">23 524</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">82</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">38 300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CAN-C <inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">197.3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">456</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1343</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">230.9</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M596" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1884</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0013</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">18 024</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M598" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">144</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">17 969</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">149</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">243</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M600" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">17 895</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M601" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">149</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">8.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CAN-G 10.18</oasis:entry>
         <oasis:entry colname="col2">215.6</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M602" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">431</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1563</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">225.9</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1894</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">18 210</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M607" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">63</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">18 163</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">71</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">238</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">18 089</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">71</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">3.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CAN-M <inline-formula><mml:math id="M611" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">18.58</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">187.8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M612" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">221</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">2678</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">216.9</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M615" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.1908</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0008</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">18 499</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">18 471</oasis:entry>
         <oasis:entry colname="col15"><inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">97</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col16">228</oasis:entry>
         <oasis:entry colname="col17"><inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col18">18 397</oasis:entry>
         <oasis:entry colname="col19"><inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">97</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col20">5.3</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>Simulated Temperature and Precipitation response to a change in simulated AMOC state</title>
      <p id="d2e10126">A number of studies have previously simulated the effect of changes in AMOC on global climate (e.g. <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx97" id="altparen.135"/>) and the most dominant features such as cooling of the Northern Hemisphere and large-scale precipitation changes, such as a weakening of Asian summer monsoon, are robust across models and form the theoretical background to interpret global archives in the context of AMOC strength. In this study, a quasi-idealised simulation is re-employed from <xref ref-type="bibr" rid="bib1.bibx73" id="text.136"/> featuring a glacial climate state with an oscillating AMOC strength (period ca. 1500 <inline-formula><mml:math id="M621" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>, see methods main manuscript), which is triggered by a constant meltwater <inline-formula><mml:math id="M622" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">MW</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> flux of 0.084 <inline-formula><mml:math id="M623" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> corresponding to the GLAC-1D ice sheet history at 17.8 <inline-formula><mml:math id="M624" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. From the two strong states defined in <xref ref-type="bibr" rid="bib1.bibx73" id="text.137"/>, here we selected the more stable <italic>zonal</italic> mode as the strong mode. When comparing periods of strong and a weak state, the simulation does show the expected global climatic patterns for a AMOC slowdown, with a temperature reduction of up to 10 <inline-formula><mml:math id="M625" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> the North Atlantic realm in winter, a southward shift of the ITCZ and significant changes in winter rainfall patterns (Fig. <xref ref-type="fig" rid="FA5"/>).</p>
</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>Meltwater time series from sediment cores</title>
      <p id="d2e10199">In main text Fig. <xref ref-type="fig" rid="F3"/>, previously published MW time series are presented as simplified blocks for a better visual overview. For completeness, the underlying time series are presented here in Fig. <xref ref-type="fig" rid="FA6"/>. Note that the event classification in both,  <xref ref-type="bibr" rid="bib1.bibx93" id="text.138"/> and <xref ref-type="bibr" rid="bib1.bibx100" id="text.139"/> are taken from the original publication, respective the associated dataset <xref ref-type="bibr" rid="bib1.bibx99" id="paren.140"/>. For the Baffin Slope record <xref ref-type="bibr" rid="bib1.bibx70" id="paren.141"/>, melt events were set in this study based on the prominent negative <inline-formula><mml:math id="M626" 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> shifts (shading in Fig. <xref ref-type="fig" rid="FA6"/>).</p>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e10236">Scan of Stalagmite Glas before cutting a slab for the new trench.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f05.jpg"/>
          

        </fig>

      <fig id="FA2"><label>Figure A2</label><caption><p id="d2e10249">Comparison of growth rates from the pointwise median BChron age model to the posterior realization selected as author age model. The age model has been calculated using 26 <inline-formula><mml:math id="M627" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> ages <bold>(a)</bold>, and the respective growth rates have been computed using a centered differences. The goal was to improve the correlation with the <inline-formula><mml:math id="M628" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> ratio measured in Glas <bold>(c)</bold>. Correlation coefficients were computed for the 6000 posteriors from the BChron age models and a realisation showing high correlation with <inline-formula><mml:math id="M629" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:math></inline-formula> ratio, as well as reasonable growth rates and a low RMSE, thus high similarity, compared to the median BChron <bold>(d)</bold>.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f06.png"/>
          

        </fig>

<fig id="FA3"><label>Figure A3</label><caption><p id="d2e10310">Visualization of the transition mid point derivation from computation with the full BChron posterior age ensemble, data is summarized in Table <xref ref-type="table" rid="T1"/>. The subtitles for the individual panels are according to the nomenclature in Table <xref ref-type="table" rid="T1"/>. In each panel, blue lines connect the two age estimates at the relevant sample depths, while the yellow line is the estimate from the author age model and the red dashed line is the BChron median estimate. The horizontal errorbar denotes the 95 <inline-formula><mml:math id="M630" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> Credible Interval (CI) of the full ensemble, representing the uncertainty reported throughout the manuscript. The isotope data plotted on the author age model is shown as a grey line.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f07.png"/>
          

        </fig>


</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Extended comparison with ice sheet reconstruction GLAC-1D and the derived discharge time series</title>
      <p id="d2e10343">The GLAC-1D ice sheet model <xref ref-type="bibr" rid="bib1.bibx36" id="paren.142"/> was used to derive river-routed regional MW time series for three key regions (Fig. <xref ref-type="fig" rid="FA7"/>a), which were introduced previously (<xref ref-type="bibr" rid="bib1.bibx73" id="altparen.143"/>, see Appendix A2 and in methods main manuscript). The three regions are (1) the GIN Seas (pink shading in Fig. <xref ref-type="fig" rid="FA7"/>a), (2) Arctic Ocean (green shading), and (3) Labrador Sea+Gulf of Mexico (GoM) (purple shading). Comparison between the discharge time series derived from GLAC-1D, sediment cores and from the Glas record show significant differences in timing and location of expected discharge, as featured in Fig. <xref ref-type="fig" rid="F3"/> in the main text. These differences likely expose the still existing uncertainties in reconstructing the MW discharge.</p>
      <p id="d2e10358">For GLAC-1D, the estimated source ice sheet sector for MW pulses ending up in the three regions used in this study (Fig. <xref ref-type="fig" rid="FA7"/>a), is exposed by plotting ice sheet mass loss maps over short time snippets (Appendix A4, Fig. <xref ref-type="fig" rid="FA7"/>b and c). However, although this is informative, the timings have to be taken with caution since GLAC-1D is a model, not an ice sheet reconstruction. For example, the calculation of river-routed MW crucially depends on the ice sheet height and global distribution expected at LGM, which also remains challenging to constrain from data.</p>

      <fig id="FA4"><label>Figure A4</label><caption><p id="d2e10367">Comparison with NISA stalagmites covering segments of the same period: Laura (LAU) and Candela (CAN). Ages of Laura have been previously published in <xref ref-type="bibr" rid="bib1.bibx89" id="text.144"/>, ages of Candela are ages on a new trench and are provided here in Table <xref ref-type="table" rid="TA1"/>.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f08.png"/>
          

        </fig>

<fig id="FA5"><label>Figure A5</label><caption><p id="d2e10387">Global maps of expected environmental changes due to AMOC weakening. Results from the simulation described in <xref ref-type="bibr" rid="bib1.bibx73" id="text.145"/>, snapshot 17.8 <inline-formula><mml:math id="M631" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>. The toprow shows differences (strong-weak AMOC) in surface air temperature (SAT) on the left for winter (DJF) and on the right for summer (JJA). The middle row shows the same analysis for differences in Precipitation (<inline-formula><mml:math id="M632" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>), and the bottom for total evaporation.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f09.png"/>
          

        </fig>

<fig id="FA6"><label>Figure A6</label><caption><p id="d2e10419">Previously published meltwater discharge time series in sediment cores: Baffin slope <inline-formula><mml:math id="M633" 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.bibx70" id="paren.146"/> (green), Gulf of Mexico <xref ref-type="bibr" rid="bib1.bibx100" id="paren.147"/> (purple), and from the Bay of Biscay <xref ref-type="bibr" rid="bib1.bibx93" id="paren.148"/> (orange,blue). Shaded areas are the bulk events featured in the main manuscript Fig. <xref ref-type="fig" rid="F3"/>c. Classification of the events is taken from the original publication for the Gulf of Mexico and the Bay of Biscay. For the Baffin slope record we have defined the events based on the large shifts in <inline-formula><mml:math id="M634" 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> in the here plotted time series. All data is plotted on the age model of the original publication which may feature several ky of uncertainty.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f10.png"/>
          

        </fig>

<fig id="FA7"><label>Figure A7</label><caption><p id="d2e10471">GLAC-1D Ice sheet mass loss over selected time snapshots. <bold>(a)</bold> shows a global map including the three regions used in this study East Laurentide and West Greenland (ELWG), Arctic (ARC) and GIN  seas, replotted from <xref ref-type="bibr" rid="bib1.bibx73" id="text.149"/>. In this study, we renamed the ELWG after the drainage ocean bassins and called it Labrador+GoM. <bold>(b)</bold> Detail line plot of the three river-routed time series ELWG, ARC and GIN seas. The grey shadings indicate the time snippets defining name, and start/stop year for the maps in <bold>(c)</bold>. <bold>(c)</bold> ice sheet mass loss maps over selected periods with significant peaks in the derived meltwater time series. The ice sheet mass loss has been converted into <inline-formula><mml:math id="M635" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> per 1000 year for easier comparison between the panels.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f11.png"/>
          

        </fig>

<fig id="FA8"><label>Figure A8</label><caption><p id="d2e10510">Extended comparison with Iberian records. The record of Glas is compared to OST2 <xref ref-type="bibr" rid="bib1.bibx8" id="paren.150"/> and MAAT <xref ref-type="bibr" rid="bib1.bibx67" id="paren.151"/>.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f12.png"/>
          

        </fig>

      <fig id="FA9"><label>Figure A9</label><caption><p id="d2e10529">Comparison between a prior low resolution trench (black), that was aligned to the new data (orange) with the help of Qanalyseries <xref ref-type="bibr" rid="bib1.bibx45" id="paren.152"/>. Trace element data of the old trench was used to correct <inline-formula><mml:math id="M636" 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> in the new trench. The blue line indicates the measured <inline-formula><mml:math id="M637" 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> before applying the degassing correction.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/797/2026/cp-22-797-2026-f13.png"/>
          

        </fig>

      <p id="d2e10569">Yet, by considering the difference maps in Fig. <xref ref-type="fig" rid="FA7"/>c, for end of Heinrich-Stadial 2 (HS2), strong Southern LIS melt has driven the peak visible in the Laurentide+GoM region and some of Northern LIS/CIS melt also discharges into the Arctic region. Further, some MW that could be visible in Glas maybe also originates from the Southern edge of BIIS. This aligns with Southern BIIS discharge also being registered by <xref ref-type="bibr" rid="bib1.bibx93" id="text.153"/>, as outlined in the main text Fig. 3. In Early-LGM, MW discharges into GIN seas, related to thinning of the ice sheet border between BIIS and SIS, according to GLAC-1D. This slight freshening, close to the Glas site, is consistent and visible as a small excursion in our record. The gradual increase in Late-LGM is reflected in stalagmite Glas, sediment cores and GLAC-1D. For GLAC-1D, most of the discharge seems to originate from southern BIIS, SIS and also Southern part of Laurentide ice sheet. Over this period, proximal MW into Bay of Biscay seems plausible but also some of the signal could originate from the Southern Laurentide melt. Conversly, the MW sediment cores do not show evidence of MW over this time into the GoM <xref ref-type="bibr" rid="bib1.bibx100" id="paren.154"/>. From 18.5–18 <inline-formula><mml:math id="M638" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>, GLAC-1D models a rapid melt of Svalbard–Barents–Kara ice sheet (SBKIS), which is dumped into Arctic, which we believed might have at least partially discharged into GIN Seas, or routed to the channel river. In addition, the collapse of Hudson strait, often seen to be connected to enhanced ice berg discharge (HE1), seems to occur from 17.4–16.9 <inline-formula><mml:math id="M639" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>, reflected in the peak in the purple region Labrador+GoM. Nothing changes during this time in Glas, and sediment cores, so it might be plausible that this peak could be shifted, i.e. either collapse was later, or melt discharge delayed. The interval 16.4–16 <inline-formula><mml:math id="M640" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> shows here mostly the collapse of SBKIS, and is also the only time with ice sheet mass loss in Greenland. This exposes a certain contrast to the general idea to have HE1 then, supposedly sourced from LIS. GLAC-1D 15.4–15 <inline-formula><mml:math id="M641" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula> shows a peak in GIN seas, originating from SIS and potentially related to Glas 15.4 <inline-formula><mml:math id="M642" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>. With the beginning of BA, GLAC-1D shows a large retreat of all NH ice sheets, to accustom for sea level changes, and associated with MWP1a. Interestingly, neither Glas nor any of the discharge proxy time series in this study show a big MW signal there.</p>
</sec>
<sec id="App1.Ch1.S1.SS5">
  <label>A5</label><title>Complementary discussion of other Iberian speleothems</title>
      <p id="d2e10634">A noteworthy record from another regional cave from Northern Iberian Peninsula is OST2 from Ostolo cave <xref ref-type="bibr" rid="bib1.bibx8" id="paren.155"/> and MAAT from Meravelles cave <xref ref-type="bibr" rid="bib1.bibx67" id="paren.156"/> (Fig. <xref ref-type="fig" rid="FA8"/>). Ostolo cave features higher elevation and has nearly double the rainfall compared to La Vallina, indicative of a strong orographic enhancement. Therefore, beside OST2 also showing a shift towards more negative <inline-formula><mml:math id="M643" 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> likely associated to a changed isotopic signature of the surface ocean moisture source around 18 and 16.1 <inline-formula><mml:math id="M644" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:math></inline-formula>, also the cold air temperature is described to cause negative shifts in <inline-formula><mml:math id="M645" 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> of the stalagmite, an effect superimposed on the changes in the <inline-formula><mml:math id="M646" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext>sw</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> seen in the coastal caves. Consequently, while some meltwater signals may be manifest, such as the short-lived excursion to negative <inline-formula><mml:math id="M647" 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> values in OST2, corresponding to to the Glas event <inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.1</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx8" id="paren.157"/>, temperature and hydrological processes amplify the signal in OST2. The onset of BA in OST2, reported as  14.9 <inline-formula><mml:math id="M649" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula> (reported age uncertainty <inline-formula><mml:math id="M650" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M651" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>) predates both the estimates of the warming in Glas (<inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.6</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with the midpoint at <inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.62</mml:mn><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M654" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BP</mml:mi></mml:mrow></mml:math></inline-formula>) and the onset in Greenland ice cores (start at <inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M656" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</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.bibx71" id="text.158"/>, Fig. <xref ref-type="fig" rid="F4"/>a). In contrast, in mediterranean caves, such as Meravelles cave (MAAT), the onset of HS1 is synchronous with a shift to more positive <inline-formula><mml:math id="M657" 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>, which in this setting has been interpreted to indicate a decrease in rainfall and resulting deficit in moisture balance consistent with regional downscaled models of precipitation for the region during weakened AMOC. Additionally, stalagmite MAAT shows also an abrupt decrease in temperature, visible in <inline-formula><mml:math id="M658" 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> <xref ref-type="bibr" rid="bib1.bibx67" id="paren.159"/>.</p>
</sec>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Methods</title>
<sec id="App1.Ch1.S2.SS1">
  <label>B1</label><title>Alignment of the old and new trench</title>
      <p id="d2e10875">Due to the slow growth rate and the presence of abrupt climate changes over the early last deglaciation the sampling strategy for <inline-formula><mml:math id="M659" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> dating has been optimised by continuously micro-milling the sample with a 50 <inline-formula><mml:math id="M660" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> trench along growth layers, measure stable isotopes on these individual samples before combining the remaining powder of about 10 samples to one date. Trace elements and stable isotopes were also measured on a parallel trench and results from the two trenches were aligned using QAnalySeries <xref ref-type="bibr" rid="bib1.bibx45" id="paren.160"/>. The two trenches are plotted on top of each other in Fig. <xref ref-type="fig" rid="FA9"/>. In all other figures oxygen isotope results are plotted from the same trench as <inline-formula><mml:math id="M661" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> dates, and  <inline-formula><mml:math id="M662" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are plotted using <inline-formula><mml:math id="M663" 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> from the <inline-formula><mml:math id="M664" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> trench corrected with trace elements from the parallel trench.</p>
</sec>
<sec id="App1.Ch1.S2.SS2">
  <label>B2</label><title>Details about <inline-formula><mml:math id="M665" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> correction</title>
      <p id="d2e10984">Through the correction of the <inline-formula><mml:math id="M666" 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> ratio for in-cave process of Prior calcite precipitation (PCP), <inline-formula><mml:math id="M667" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> becomes an improved qualitative indicator for temperature above the cave. We follow the procedure of <xref ref-type="bibr" rid="bib1.bibx90" id="text.161"/>: the initial <inline-formula><mml:math id="M668" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> is assumed to be the minimum <inline-formula><mml:math id="M669" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:math></inline-formula> ratio over the entire dataset and is used to compute the remaining calcite fraction (<inline-formula><mml:math id="M670" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) over time. Specifically, the equation to calculate the remaining calcite fraction is <inline-formula><mml:math id="M671" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mtext>min</mml:mtext><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>. Based on previous sensitivity experiments for a glacial Northwest Iberian climate  and the La Vallina cave setting <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx90" id="paren.162"/>, the degassing slope <inline-formula><mml:math id="M672" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mtext>slope</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is set to <inline-formula><mml:math id="M673" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 <inline-formula><mml:math id="M674" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, the bedrock scaling factor B to 1, and the attenuation factor AF also to 1 for the entire last deglaciation. The resulting equation to calculate the PCP-corrected <inline-formula><mml:math id="M675" 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:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is <inline-formula><mml:math id="M676" display="inline"><mml:mrow><mml:msub><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:mtext>init</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>d</mml:mi><mml:mn mathvariant="normal">13</mml:mn><mml:mi>C</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mtext>slope</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The comparison between the measured <inline-formula><mml:math id="M677" 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> and the corrected <inline-formula><mml:math id="M678" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> time series is shown in  Fig. <xref ref-type="fig" rid="FA9"/>.</p>
</sec>
<sec id="App1.Ch1.S2.SS3">
  <label>B3</label><title>Details about the model simulation</title>
      <p id="d2e11264">The underlying simulation is the experiment “tfgbj”, previously published and made publicly availble in <xref ref-type="bibr" rid="bib1.bibx72" id="text.163"/>. The simulation was completed using the HadCM3 atmosphere-ocean general circulation model in the BRIDGE (Bristol Research Initiative for the Dynamic Global Environment group) version <xref ref-type="bibr" rid="bib1.bibx96" id="paren.164"/>. The model consists of 19 atmosphere layers (<inline-formula><mml:math id="M679" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3.75</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx68" id="paren.165"/>, coupled to an ocean model with 20 layers (<inline-formula><mml:math id="M680" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx29" id="paren.166"/>, and includes the Moses 2.1 land model and TRIFFID dynamic vegetation model <xref ref-type="bibr" rid="bib1.bibx18" id="paren.167"/>. The passive advective tracers were added and run for 500 <inline-formula><mml:math id="M681" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula> in two selected periods, in which the AMOC was strong or weak, respectively.</p>
</sec>
</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e11328">Details of the new <inline-formula><mml:math id="M682" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> data presented in this study is reported in Appendix, Table <xref ref-type="table" rid="TA1"/>. All meta, geochemical and age data for speleothem Glas is further available in SISALv3 submission format (<ext-link xlink:href="https://doi.org/10.5194/essd-16-1933-2024" ext-link-type="DOI">10.5194/essd-16-1933-2024</ext-link>, <xref ref-type="bibr" rid="bib1.bibx41" id="altparen.168"/>) in the ETH Research collection (<ext-link xlink:href="https://doi.org/10.3929/ethz-b-000726747" ext-link-type="DOI">10.3929/ethz-b-000726747</ext-link>, <xref ref-type="bibr" rid="bib1.bibx24" id="altparen.169"/>), and will be added to the SISAL database with their next release. The underlying model simulation data is available from the NERC Centre for Environmental Data Analysis repository (<ext-link xlink:href="https://doi.org/10.5285/AFF921A9F2A34F008744342F0BAAA9A5" ext-link-type="DOI">10.5285/AFF921A9F2A34F008744342F0BAAA9A5</ext-link>, <xref ref-type="bibr" rid="bib1.bibx72" id="altparen.170"/>). The analysis script to compute the transition midpoints is available on Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.19348269" ext-link-type="DOI">10.5281/zenodo.19348269</ext-link>, <xref ref-type="bibr" rid="bib1.bibx23" id="altparen.171"/>).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e11373">The study was designed by HS, RI and LE. LE wrote the paper with substantial scientific contributions from RI, LG, ALCH, and HS.  Uran-Thorium dating was conducted by CPM and HC Fieldwork campaigns were organized by HMS. Sample preparation and geochemical labwork was carried out by LE and ETH Zürich technical staff. GCM dye tracer modeling was conducted by LE, RI, and University of Leeds technical staff. All authors contributed to reading and editing the text.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e11379">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e11385">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="d2e11391">This work was funded by ETH Zürich base funding and ETH doc.mobility. Additionally funding was provided from the National Natural Science foundation of China (Grant-no. 42472244). We thank the scientific assistants Janine Schmitter, Sandra Bernegger, Romain Alosius and especially Lab Manager Madalina Jäggi for their support. Further, we thank Axel Timmermann, James Rae and Andrea Burke for fruitful scientific discussions. OpenAI ChatGPT was used for minor text editing.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e11396">This research has been supported by the National Natural Science Foundation of China (grant no. 42472244).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e11402">This paper was edited by Kathleen Wendt and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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