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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-22-1729-2026</article-id><title-group><article-title>Middle to late Holocene cooling and increased zonal asymmetry in the mid-latitude North Atlantic</article-title><alt-title>Middle to late Holocene cooling and increased zonal asymmetry</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Si</surname><given-names>Weimin</given-names></name>
          <email>weimin_si@brown.edu</email>
        <ext-link>https://orcid.org/0000-0002-3835-3376</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Herbert</surname><given-names>Timothy</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1556-4290</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Toggweiler</surname><given-names>John R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6345-5756</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Earth, Environmental and Planetary Sciences, Brown University, Providence, RI, United States</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Geophysical Fluid Dynamics Laboratory, National Oceanic and Atmospheric Administration, Princeton,  NJ, 08540-6649, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Weimin Si (weimin_si@brown.edu)</corresp></author-notes><pub-date><day>25</day><month>September</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>9</issue>
      <fpage>1729</fpage><lpage>1740</lpage>
      <history>
        <date date-type="received"><day>20</day><month>October</month><year>2025</year></date>
           <date date-type="rev-request"><day>29</day><month>October</month><year>2025</year></date>
           <date date-type="rev-recd"><day>6</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>6</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Weimin Si 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/22/1729/2026/cp-22-1729-2026.html">This article is available from https://cp.copernicus.org/articles/22/1729/2026/cp-22-1729-2026.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/22/1729/2026/cp-22-1729-2026.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/22/1729/2026/cp-22-1729-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e106">Sea Surface Temperature reconstructions derived from alkenone biomarker (SST-alk) reveal a cooling trend in the North Atlantic during the late Holocene (the last 5000 years), contrary to the warming simulated by transient climate models driven by 20 ppm increase in greenhouse gas concentrations. In this study, we present new SST-alk time series from the inter-gyre region of the North Atlantic. Our results, together with existing data, indicate that late Holocene cooling is marked by an increasing zonal SST gradient across the mid-latitude North Atlantic, with more pronounced cooling in the west than in the east. Complementary planktonic foraminifera assemblage data, interpreted alongside other circulation proxies, suggest that a late Holocene reorganization of inter-gyre ocean circulation as a likely driver of this zonal asymmetry. Finally, we compare these proxy-based reconstructions with transient climate model simulations (TraCE-21k), and find that models do not reproduce the observed zonally asymmetric cooling and the inferred circulation changes. This misrepresentation of spatial and temporal variability likely explains the data-model discrepancy in the mid-latitude North Atlantic.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Science Foundation</funding-source>
<award-id>2202760</award-id>
<award-id>2410906</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="d2e118">Estimates of global temperature changes over the Holocene (from <inline-formula><mml:math id="M1" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11.6 ka to the present) reveal large discrepancies between proxy reconstructions and climate model simulations. Climate models typically produce gradual global warming in response to a 20 ppm increase in <inline-formula><mml:math id="M2" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<sub>2</sub> in the last <inline-formula><mml:math id="M4" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 kyr (Erb et al., 2022; Liu et al., 2014; Osman et al., 2021). In contrast, a variety of paleoclimate archives from both terrestrial and marine realms indicate an overall cooling trend in the Northern Hemisphere following the mid-Holocene thermal optimum (<inline-formula><mml:math id="M5" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 6–10 kyr ago) (Kaufman et al., 2020; Linsley et al., 2010; Marchal et al., 2002; Marcott et al., 2013; Shuman and Marsicek, 2016). This discrepancy between model simulations and proxy data is known as the “Holocene conundrum” (Liu et al., 2014).</p>
      <p id="d2e158">One often-invoked explanation for model-data inconsistency is biases in proxy reconstructions (Bova et al., 2021; Leduc et al., 2010; Liu et al., 2014). Summer-growing species, for example, may primarily record changes in conditions of warm seasons rather than long-term shifts in annual means. As a result, the cooling observed in the Northern Hemisphere during the late Holocene has been attributed to summer cooling, driven directly by declining summer insolation (Leduc et al., 2010; Schneider et al., 2010). On the other hand, biases can also arise in model simulations (He and Clark, 2022; Liu et al., 2018; Park et al., 2019; Thompson et al., 2022), leading to systematic model–data discrepancies that potentially obscure our understanding of climate sensitivity to different forcings, particularly CO<sub>2</sub> versus orbital forcing. A recent study, for example, suggests that equatorial upwelling is dynamically coupled to the large-scale overturning circulation (Toggweiler et al., 2019) and is sensitive to precessional forcing. This linkage allows precession to directly influence tropical warming and cooling by modulating oceanic heat uptake and transport at low latitudes, potentially contributing to global Holocene temperature trends (Toggweiler and Si, 2025).</p>
      <p id="d2e170">A useful approach to gain insights into the origin of the model-data discrepancy is to investigate the spatial characteristics of regional climate and their temporal evolution. Such analyses may help diagnose the dynamics driving both local and global climatic variations. The North Atlantic is of particular interest in this context because it exhibits a notable data-model gap, with climate models predicting a warming trend (Liu et al., 2014) whereas proxy compilations indicating pronounced cooling (Marcott et al., 2013).</p>
      <p id="d2e173">A number of proxy-based reconstructions have suggested that the observed late Holocene cooling may be linked to reorganizations in ocean–atmosphere circulation, both locally and remotely (Andersson et al., 2010; Kim et al., 2004; Solignac et al., 2008). For example, a weakening of the westerly winds during the late Holocene has been proposed to enhance the northward advection of Atlantic water into the eastern Nordic Seas while reducing the influence of Arctic water (Risebrobakken et al., 2003). On the other hand, there is evidence of increased Arctic freshwater export into the subpolar gyre via the East Greenland Current during the late Holocene, which likely reduced the influence of Atlantic waters in the Denmark Strait, resulting in cooling and freshening across the center of the subpolar gyre (Came et al., 2007; Moros et al., 2012, 2016). There are other studies that highlight the role of altered ocean–atmosphere interactions in modulating meridional heat transport, thereby amplifying regional climate responses (Morley et al., 2014; Staines-Urías et al., 2013).</p>
      <p id="d2e177">Collectively, the mid-latitude North Atlantic represents a dynamically complex region where oceanic fronts and atmospheric circulation systems interact. In this study, we integrate alkenone SST (SST-alk), productivity and planktonic foraminiferal assemblages with previous published data to investigate mid- to late Holocene SST changes in relation to ocean circulation changes in the mid-latitude North Atlantic (35–65° N, 80–0° W; Fig. 1). We then conduct a model–data comparison to demonstrate that the spatiotemporal patterns inferred from proxy records are not adequately captured by model simulations.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e182">Sites map. Blue stars: sites from the current study. Black stars: Alkenone-derived SST in literature (SST-alk); see Table S1 in the Supplement for a complete reference list. Open star: Paired <inline-formula><mml:math id="M7" 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> –<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O analysis of planktonic foraminifera (Thornalley et al., 2009). Orange square: Coral <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd (Colin et al., 2010). Pink stars: Ice Rafted debris. Color shading: modern annual mean SST (OISST).</p></caption>
        <graphic xlink:href="https://cp.copernicus.org/articles/22/1729/2026/cp-22-1729-2026-f01.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Wind-driven inter-gyre circulation in the North Atlantic</title>
      <p id="d2e229">To facilitate the discussion, we first characterize oceanography in the mid-latitude North Atlantic, following the concept of inter-gyre circulation (Marshall et al., 2001). The inter-gyre region refers to the wind-driven circulation that straddles the mid-latitude North Atlantic (Czaja and Marshall, 2001; Marshall et al., 2001). Today, positive wind stress curl north of this region drives a cyclonic subpolar gyre, while negative wind stress curl to the south drives an anticyclonic subtropical gyre. The zero wind stress curl line thus marks the confluence of the two gyres. Heat and fluid properties are transported from both the subtropical and subpolar gyres into this frontal zone, and their respective contributions are thought to be critical for salt and heat transport into the Nordic Seas.</p>
      <p id="d2e232">In the current climatic state, the climatological mean of the zero wind-stress-curl line has a characteristic SW-NE tilt across the mid-latitude North Atlantic, coincident with the location where the Gulf Stream detaches from the slope and feeds into the North Atlantic Current (NAC) (Marshall et al., 2001). In the SST field (Fig. 1), this is expressed as a band of 10 °C water extending diagonally from Cape Hatteras to the south of Iceland (shown as the dark-green band in the SST field). This 10 °C water also marks the core of the NAC (Rossby, 1996), which acts as the boundary flow separating the subtropical and subpolar gyres in the mid-latitude North Atlantic. As the extension of the Gulf Stream, the NAC carries warm and saline subtropical water into subpolar latitudes. The spatial configuration of this inter-gyre circulation plays a key role in maintaining the zonal SST and salinity gradients in the mid-latitude North Atlantic, with relatively cold and fresh subpolar water to its NW and warm, saline subtropical waters to its SE.</p>
      <p id="d2e235">On decadal timescales, changes in the position and orientation of the zero wind-stress-curl line are tightly linked to anomalous inter-gyre circulation (Marshall et al., 2001; McCarthy et al., 2015; Volkov et al., 2019; Yang et al., 2020). When the zero-curl line is more zonal and equatorward, the boundary flow becomes more W-E oriented and transports less heat meridionally (Häkkinen et al., 2011; Newell and Hsiung, 1987), and vice versa. Indeed, the tilted orientation of the coupled wind and gyre circulations in the mid-latitude North Atlantic is critically linked to the deepwater formation in the North Atlantic (Emile-Geay et al., 2003; Warren, 1983).</p>
      <p id="d2e238">The sites examined in this study are mostly aligned with the 10 °C isotherm in the mid-latitude North Atlantic (Fig. 1). We use these sites to monitor changes in inter-gyre circulation over time. In Sect. 6, we present evidence of a dynamically shifting inter-gyre frontal system during the Holocene. In Sect. 7, we show that transient simulations did not capture either the mean geometry of the inter-gyre circulation or its variability during the Holocene.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Materials and Methods</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Age models</title>
      <p id="d2e256">Two IODP cores are analyzed in this study for alkenone SST (Fig. 1, ODP U1304: 53.0° N, 33.5° W, <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3064.0</mml:mn></mml:mrow></mml:math></inline-formula> m water depth; ODP U1308: 49.8° N, 24.2° W, <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3871.0</mml:mn></mml:mrow></mml:math></inline-formula> m water depth). ODP U1304 is also studied for planktonic foraminifera assemblage. Age models of two cores are constrained by <sup>14</sup>C dates and the Ash Zone (AZ1) tephra layer associated with the Younger Dryas. The latter has been dated to 12.1 ka (Hodell et al., 2010; Thornalley et al., 2011). For <sup>14</sup>C analysis, <inline-formula><mml:math id="M14" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 mg of a single species, <italic>G. bulloides</italic>, from the <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">125</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M16" 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> fraction, were picked from each sample and ultrasonically cleaned in 3 % H<sub>2</sub>O<sub>2</sub> and DI water before being leached 10 % with dilute HCl to remove potential diagenetic overgrowth and contamination. Radiocarbon analyses were conducted at Keck Carbon Cycle AMS lab at the University of California Irvine. Calendar ages were subsequently calculated using the Matlab package <italic>Undatable</italic> (Lougheed and Obrochta, 2019) based on Marine20 calibration curve (Heaton et al., 2020). All age data control points are included in Table S2.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Biomarker analysis</title>
      <p id="d2e357">For alkenone analysis, <inline-formula><mml:math id="M19" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 g of dry sediments were freeze-dried and extracted using an automated pressurized fluid extraction device (ASE 200). Extractions were carried out at 150 °C and 1500 psi and consisted of three static cycles. For each cycle, <inline-formula><mml:math id="M20" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 mL 100 % methylene chloride was flushed through the sample cell. Total lipids extracts were then dried under a nitrogen stream and redissolved in 100 % hexane. In order to obtain a clean alkenone profile and avoid potential co-elution, silica gel columns were used to isolate the alkenone fraction. A silica gel column of <inline-formula><mml:math id="M21" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 cm was rinsed with hexane before loading organic extracts. The organic extract was then transferred onto the column and eluted with <inline-formula><mml:math id="M22" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 mL hexane, followed by 4 mL methylene chloride. Alkenones were recovered in the methylene chloride fraction.</p>
      <p id="d2e388">Alkenone concentration was quantified on a Gas Chromatography (Agilent 6890) equipped with a flame-ionization detector. Alkenone fractions recovered from the silica gel columns were reconstituted using 200 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> of toluene, which was previously spiked with n-hexacontracontane (C36) and n-heptatriacontane (C37) standards of known concentrations. The chromatographic column used was a DB-1 (60 m length, 0.32 mm diameter, and 0.10 <inline-formula><mml:math id="M24" 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> film thickness). The GC temperature program started at an initial temperature of 90 °C and held for 2 min before ramping at an initial rate of 40 °C min<sup>−1</sup> to 255 °C, then ramping slowly at a rate of 1 °C min<sup>−1</sup> to 300 °C. The final ramp was at a rate of 10 °C min<sup>−1</sup> to 320 °C, with an 11 min hold time. To better take into account analytical uncertainties, a random number of samples from each core are re-analyzed on the same GC-FID using RTX-200 column. The RTX-200 column has a different polarity relative to DB-1 and thus can help detect possible coelution.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Planktonic foraminifera assemblage analysis</title>
      <p id="d2e455">For planktonic foraminiferal analysis, dry samples from ODP U1304 were washed through a 20 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m sieve and oven-dried at <inline-formula><mml:math id="M29" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 60 °C. Foraminifera <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">125</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m were then divided into small splits using a Riffle Splitter. From each subsample, all foraminiferal specimens were picked and archived on microfossil slides, with approximately 300 specimens picked per sample. Our faunal analysis focuses on the relative abundance of four end-member groups, tropical-subtropical (<italic>Globigerinoides ruber – Globigerinoides sacculifer</italic>), Gulf Stream transitional (<italic>Globorotalia inflata</italic>), subpolar (<italic>Globigerina bulloides</italic>) and polar (<italic>Neogloboquadrina pachyderma</italic>) species (Fig. 2 legend). The validity of this faunal analysis, compared to the traditional CLIMAP faunal assemblage approach, which documents the entire foraminiferal fauna, has been demonstrated both empirically and statistically (Jonkers and Kučera, 2019; Ruddiman and Esmay, 1987).</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e506">Late Holocene paleo-proxies from the North Atlantic. <bold>(a)</bold> Black curve, 21 June insolation at 65° N; Orange circles, IRD counts from the Eastern Greenland shelf site (JM96-1206/2-GC) (Perner et al., 2016); green line: Proportion of “foreign” IRD, interpreted as a proxy for sea-ice drift (Moros et al., 2006). <bold>(b)</bold> Subsurface temperature and salinity estimates from paired <inline-formula><mml:math id="M32" 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>-v analyses of <italic>G. inflata</italic> (Thornalley et al., 2009). <bold>(c)</bold> Purple: C37<sub>total</sub> of ODP U1304, orange: coral <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd (Colin et al., 2010). <bold>(d)</bold> Red solid circles: SST-alk of ODP U1304, red hollow circles: SST-alk of ODP U1308; color shading: relative abundance of planktonic foraminifera from ODP U1304; black arrows and circles indicate age control points in the Holocene. <bold>(e)</bold> Pink line: SST from ODP Site 658, estimated from foraminiferal assemblage analysis (deMenocal et al., 2000), which may also be interpreted as an upwelling index.</p></caption>
          <graphic xlink:href="https://cp.copernicus.org/articles/22/1729/2026/cp-22-1729-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Estimate of <inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST-alk and seasonality in the North Atlantic</title>
      <p id="d2e578">Spatial <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST-alk over the late Holocene is calculated from the mean estimates of two time slices (6–8 ka) and (0–2 ka) using a combination of existing alkenone (Table S1 for a complete reference list) and new analyses from the North Atlantic. For previously published records, age models are taken directly from the original publications without modification. In cases where downcore SST-alk data are unavailable for the last 2 kyr, core-top alkenone data from nearby locations are used instead (Table S3).</p>
      <p id="d2e588">To evaluate the seasonality of the SST-alk data before applying them to paleoceanographic interpretations. Primary productivity in the open ocean is primarily controlled by a combination of light availability and nutrient supply to the mixed layer. The seasonal variations in these limiting factors largely determine the timing of phytoplankton blooms. In the North Atlantic, this manifests as the meridional propagation of “spring” blooms from mid-latitudes in February/March to higher latitudes in August/September (Siegel et al., 2002). Consequently, biogenic paleo-proxies, such as alkenone, may therefore record the temperatures during the organisms' growing seasons rather than annual mean temperatures (Filippova et al., 2016). The late-Holocene cooling, for instance, has been attributed to changes in seasonality driven by reduced local summer insolation (Bova et al., 2021; Leduc et al., 2010).</p>
      <p id="d2e592">Here, we calculate productivity-weighted SST using monthly SST fields from Huang et al. (2021) and satellite-based estimates of monthly primary productivity from Losa et al. (2017). At each grid point, the productivity-weighted SST is calculated as (NPP<sub><italic>i</italic></sub> <inline-formula><mml:math id="M38" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> SST<sub><italic>i</italic></sub>)<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>/</mml:mo><mml:mo>∑</mml:mo></mml:mrow></mml:math></inline-formula>NPP<sub><italic>i</italic></sub>, where <inline-formula><mml:math id="M42" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> denotes month, NPP<sub><italic>i</italic></sub> and SST<sub><italic>i</italic></sub> represent the monthly net primary productivity and SST at that grid, respectively. We then compute the differences between this productivity-weighted SST and the annual-mean SST. Two features stand out in the difference map (Fig. S1 in the Supplement). First, in most low-latitude ocean region, the productivity-weighted SST “coincides” with the annual mean temperature, resulting in small seasonal biases (indicated by green colors in Fig. S1). In contrast, the mid- and high-latitude regions of the North Atlantic and North Pacific exhibit large positive anomalies in productivity-weighted SST relative to the annual mean (shown in warm colors in Fig. S1), suggesting a bias linked to the seasonal growth of phytoplankton. Our results are broadly consistent with those of Schneider et al. (2010), who also used a satellite based approach to evaluate the seasonality of primary productivity and found that, in the North Atlantic, high primary productivity is positively correlated with warm seasons.</p>
      <p id="d2e666">Next, we estimate core-top SST-alk using the calibration of Müller et al. (1998) and calculate their deviations from the modern annual mean (circles in Fig. S1). A similar calculation was employed by Tierney and Tingley (2018). The results show that productivity-weighted SST and coretop SST-alk share similar spatial pattens in their deviations from the annual mean SST. This spatial coherence between expected and observed biases thus supports the idea that SST-alk reflects the surface temperature during the principal growth season(s) of alkenone producers, particularly in the mid-latitudes. Regressing mid- and high-latitude North Atlantic and North Pacific SST–alk values against productivity-weighted SST, rather than annual mean, reduces the Root Mean Square Deviation by about 25 % (Fig. S2).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
      <p id="d2e678">In the downcore time series, SST-alk from ODP U1304 (Fig. 2d Red solid circles) exhibits warm durations of the Bølling–Allerød (13–14 ka) and the mid-Holocene (<inline-formula><mml:math id="M45" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 6–11.6 ka), followed by cold conditions during the Younger Dryas (<inline-formula><mml:math id="M46" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 11.6–12.9 ka) and the late Holocene (0–6 ka), respectively. SST-alk over the last 2 kyr averages <inline-formula><mml:math id="M47" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10.3 °C, which is <inline-formula><mml:math id="M48" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.5 °C warmer than the modern annual mean (<inline-formula><mml:math id="M49" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 8.8 °C). As discussed above, this warm bias likely reflects the preferential summer production of alkenones at 50° N. Total alkenone concentration (C37<sub>total</sub>) of ODP U1304, which is considered a proxy of primary productivity (Lawrence et al., 2006; Raja and Rosell-Melé, 2021), was low during Heinrich Event 1 and the Younger Dryas (Fig. 2c). During the Holocene, C37<sub>total</sub> shows a gradual increase between <inline-formula><mml:math id="M52" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11.6–8.2 ka, followed by a decline after <inline-formula><mml:math id="M53" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 ka. SST-alk from ODP U1308 (Fig. 2d, Red hollow circles) overlap with those from U1304 during the Bølling–Allerød and Younger Dryas periods. A temperature gradient of approximately 1.5 °C emerges in the early Holocene. However, the late Holocene cooling observed at other sites is not captured in the U1308 record.</p>
      <p id="d2e749">Planktonic foraminiferal analysis of ODP U1304 also reveals changes throughout the Holocene. Between 8–10 ka, tropical and subtropical surface species such as <italic>G. ruber</italic> and <italic>G. sacculifer</italic> were present at this 50° N site (Pink shading in Fig. 2d). Meanwhile, <italic>G. inflata</italic>, typically indicative of the Gulf Stream thermocline, became particularly abundant. Beginning <inline-formula><mml:math id="M54" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8 ka, however, the subpolar species <italic>G. bulloides</italic> became dominant. On the other hand, the polar species <italic>N. pachyderma</italic> accounted for a large portion of the assemblage during the Younger Dryas and the earliest Holocene. Its relative abundance, however, has remained low since <inline-formula><mml:math id="M55" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8.2 ka.</p>
      <p id="d2e782">The spatial pattern of <inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST-alk between the two time slices 6–8 and 0–2 ka is shown in Fig. 3a, with blue numbers indicating the magnitude of cooling. Overall, we find that the greatest cooling occurred in the western basin, with a maximum value of <inline-formula><mml:math id="M57" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4.9 °C at GGC30. In contrast, cooling is muted in the eastern basin, where subtropical water dominates.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e802"><bold>(a)</bold> Model-data comparison of <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST between two time slices (0–2 ka minus 6–8 ka). Blue numbers: <inline-formula><mml:math id="M59" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST-alk. Color shading: <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST from the TraCE-21K model. Schematic representation of <bold>(b)</bold> reconstructed and <bold>(c)</bold> modeled mid-Holocene inter-gyre circulation. <bold>(b)</bold> During the early and mid-Holocene, proxy evidence suggests that the inter-gyre circulation was likely strengthened and shifted northward relative to its present position. <bold>(c)</bold> In contrast, in the TraCE-21K simulation, the annual mean zero wind-stress curl line remained nearly zonal over the last 8 kyr.</p></caption>
        <graphic xlink:href="https://cp.copernicus.org/articles/22/1729/2026/cp-22-1729-2026-f03.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussions</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Increased zonal SST gradient in the late Holocene</title>
      <p id="d2e863">The spatial distribution of <inline-formula><mml:math id="M61" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST-alk in Fig. 3a suggests that the cooling in the mid-latitude North Atlantic over the last 6 kyr was zonally asymmetric, with a larger temperature decrease west of the inter-gyre region than to the east. Considering the seasonality of the alkenone proxy (Sect. 3), the cooling is best described as an increase in the summertime zonal SST gradient in the mid-latitude North Atlantic. The implication is that the cooling must have arisen from processes that also help maintain the zonal asymmetry in modern SST, rather than being a simple <italic>direct</italic> response to local insolation changes (Leduc et al., 2010), which would have produced a zonally uniform cooling.</p>
      <p id="d2e876">What could have contributed to the increased zonal SST gradient? As briefly reviewed in Sect. 2, the zonal asymmetry in the mid-latitude North Atlantic is primarily associated with the inter-gyre frontal system. The position, orientation, and strength of the inter-gyre circulation can significantly influence air–sea heat fluxes, Ekman transport, and eddy activity (Häkkinen et al., 2013; Marshall et al., 2001; Marzocchi et al., 2015; Newell and Hsiung, 1987), and therefore shape regional SST distributions.</p>
      <p id="d2e879">Based on the spatial pattern of <inline-formula><mml:math id="M62" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST-alk in Fig. 3a, we thus speculate that: (1) During the early and mid-Holocene, the time-averaged summertime inter-gyre circulation was positioned farther north and oriented in a southwest–northeast (SW–NE) direction (Fig. 3b). As a result, sites near the modern 10 °C isotherm were more strongly influenced by subtropical waters and recorded warmer SSTs. The SW-NE tilt also directed the NAC into the Nordic Sea, promoting warming at high latitudes; (2) in the late Holocene, the inter-gyre circulation likely shifted equatorward, causing pronounced cooling at sites proximal to the present-day 10 °C water.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Evidence of Changes in inter-gyre circulation</title>
<sec id="Ch1.S5.SS2.SSS1">
  <label>5.2.1</label><title>Inter-gyre circulation during the warm early and mid-Holocene</title>
      <p id="d2e904">To test our hypothesis (Fig. 3a), we first examine foraminiferal assemblages, whose distribution is strongly influenced by the Gulf Stream and the NAC (Ruddiman, 1968). During the earliest Holocene (<inline-formula><mml:math id="M63" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 11–12 ka), we see a rapid decrease in the relative abundance of the polar species <italic>N. pachyderma</italic> in ODP U1304 as SST-alk increased (Fig. 2d, Blue shading and red line). During the early Holocene warm period (11–8 ka), the arrival of warm water species, including tropical <italic>G. ruber</italic> and “Gulf-stream” subsurface species <italic>G. inflata</italic> (Fig. 2d, Pink and Yellow shading), suggests either a more northerly position of the Gulf Stream or enhanced northward heat transport. This would have led to warmer, more subtropical-like surface conditions at ODP U1304 (53° N). It is also consistent with the <inline-formula><mml:math id="M64" 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> SST estimate from ODP 984 (61° N, Came et al., 2007) and fossil records from higher latitudes. The presence of thermophilus mollusks from Svalbard (Salvigsen et al., 1992), for instance, suggests that warm Atlantic waters had already reached the Fram Strait by 9.5 ka. Diatom records also suggest that Atlantic assemblages became more prevalent in the southern Nordic Sea by 9.5 ka and dominated the region between 8.8 and 7 ka (Koç et al., 1993).</p>
      <p id="d2e935">Additionally, low IRD content on the East Greenland shelf and low Quartz content (expressed as the ratio of Qrtz <inline-formula><mml:math id="M65" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Plag) just north of Iceland are interpreted as evidence of an enhanced influence of the Atlantic-sourced warm Irminger Current and stronger ocean heat transport during the mid-Holocene (Fig. 2a), This likely led to the retreat of Greenland's tidewater glaciers and reduced sea ice influx from the Greenland Sea (Moros et al., 2006; Perner et al., 2016; Werner et al., 2013).</p>
</sec>
<sec id="Ch1.S5.SS2.SSS2">
  <label>5.2.2</label><title>Subpolar gyre circulation during the warm early- and mid-Holocene</title>
      <p id="d2e953">Along with the enhanced influence of subtropical waters at mid-latitudes, published geochemical evidence also suggests a gradual increase in convection within the subpolar gyre during the early Holocene (Thornalley et al., 2009). Beginning around 11 ka, paired <inline-formula><mml:math id="M66" 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>-<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O measurements of the thermocline species <italic>G. inflata</italic> (Fig. 2b) suggest that subsurface waters just south of Iceland became fresher and colder over time. Since subsurface water in the inter-gyre reflect the mixing of two end-members, subpolar and subtropical mode waters, this freshening and cooling in the subsurface, in contrast to the warmer surface SST-alk, is consistent with the interpretation of enhanced ventilation and increased mode water formation in the subpolar gyre (Thornalley et al., 2009).</p>
      <p id="d2e982">Primary productivity proxy, derived from total alkenone concentration (C37<sub>total</sub>), also supports enhanced ventilation in the subpolar region between approximately 11 and 6 ka (Fig. 2c). In the present day, the maintenance and variability of nutrient supply to the central and western North Atlantic are sensitive to subpolar gyre circulation. Increased wind stress enhances nutrient supply to the euphotic zone through stronger convective mixing and horizontal Ekman transport (Hátún et al., 2017; Williams et al., 2000). At ODP U1304, C37<sub>total</sub> covaries inversely with subsurface salinity and temperature anomalies just south of Iceland (Fig. 2b and c), suggesting higher primary productivity during periods of intensified subpolar gyre ventilation.</p>
      <p id="d2e1003">Another piece of evidence for a better ventilated subpolar gyre during the mid-Holocene comes from <inline-formula><mml:math id="M70" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd isotopes derived from deep-sea corals in the northern Rockall Trough (MD01-2454G: 55.5° N and 15.5° W, 747 m water depth, Colin et al., 2010). In the North Atlantic, seawater <inline-formula><mml:math id="M71" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd can be interpreted as a mixture of two isotopic end-members: the more radiogenic subtropical water (<inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula>) and the less radiogenic subpolar mode water (<inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula>) (Colin et al., 2010; Lacan and Jeandel, 2004). The significantly depleted <inline-formula><mml:math id="M78" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd values observed during the mid-Holocene (Fig. 2c) thus agree with a strong subpolar gyre circulation, which would have supplied a large volume of relatively fresh and cold subpolar mode water eastward into the subsurface of the inter-gyre region, as indicated by the <inline-formula><mml:math id="M79" 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>-<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O data.</p>
      <p id="d2e1109">The influence of the subpolar gyre appears to have peaked between <inline-formula><mml:math id="M81" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6–8 ka (Fig. 2b, c). During this time period, the relative abundance of the “Gulf-Stream” subsurface species <italic>G. inflata</italic> declined at ODP U1304, while the subpolar species <italic>G. bulloides</italic> became more abundant (Fig. 2d). This competition between subpolar and subtropical waters in the inter-gyre region is also seen in the modern ocean on decadal timescales (Häkkinen and Rhines, 2004; Hátún et al., 2005). In case of the mid-Holocene, reduced freshwater input likely improved Labrador Sea ventilation as deglaciation concluded after <inline-formula><mml:math id="M82" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8 ka, contributing to a strengthening of the subpolar gyre (Solignac et al., 2004; and also see Thornalley et al., 2009), resulting in increased influence of subpolar waters. Nevertheless, the effects of stronger subpolar convection appear to have been limited to subsurface layers or winter conditions. This is evident from sea surface temperature reconstructions at ODP Site U1304, where SST-alk records indicate persistently warm conditions between <inline-formula><mml:math id="M83" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11 and 6 ka. Likewise, diatom and foraminifera assemblages from the Nordic Sea indicate optimal conditions persisting until <inline-formula><mml:math id="M84" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 7 ka (Andersson et al., 2010; Koç et al., 1993), further suggesting that enhanced convection did not significantly alter surface conditions during this period.</p>
</sec>
<sec id="Ch1.S5.SS2.SSS3">
  <label>5.2.3</label><title>Weakened subpolar gyre in the late Holocene</title>
      <p id="d2e1155">A major change in the mode of inter-gyre circulation occurred around 6 ka. At ODP U1304, SST-alk indicates a stepwise cooling that closely resembles the abrupt termination of the African Humid Period observed at ODP 658 (deMenocal et al., 2000). Coincident with this cooling (Fig. 2d), the subpolar gyre appears to have weakened. Reduced alkenone productivity indicated by C37<sub>total</sub> at the studied site (Fig. 2c) suggests a decline in the southward mixing of nutrient-rich subpolar water. Meanwhile, subsurface temperature and salinity south of Iceland increased (Fig. 2b), a change interpreted as indicative of reduced intermediate water formation in the Labrador Sea and a weakening of subpolar gyre ventilation (Thornalley et al., 2009). A weakened subpolar gyre is further supported by <inline-formula><mml:math id="M86" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd isotope records (Fig. 2c). The more radiogenic sub-surface water indicates that less subpolar mode water has been advected to the eastern basin in the late Holocene (Colin et al., 2010).</p>
</sec>
<sec id="Ch1.S5.SS2.SSS4">
  <label>5.2.4</label><title>Weakened subtropical circulation in the late Holocene</title>
      <p id="d2e1182">Unlike during the mid-Holocene, an overall weaker subpolar gyre during the last 6 kyr, as inferred from the multi-proxy evidence above, does not appear to have been compensated by a recovery in subtropical circulation at mid-latitudes. At ODP U1304, the abundance of the Gulf Stream subsurface species <italic>G. inflata</italic> has remained low since <inline-formula><mml:math id="M87" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8 ka (Fig. 2d Yellow shading), while tropical species have been entirely absent (Pink shading). Similarly, diatom records from the Nordic Sea indicate that by 5 ka, warm Atlantic water masses had retreated, and Arctic species had expanded north of Iceland (Koç et al., 1993). Increased input of IRD in the last few millennia (Fig. 2a) further suggests a reduced influence of Atlantic-sourced warm waters (Moros et al., 2006; Perner et al., 2016). Clearly, the influence of the NAC in mid- and high-latitude regions reduced during the late Holocene.</p>
      <p id="d2e1195">To investigate changes in the subtropical gyre during the late Holocene, we examined two additional indices from the subtropical North Atlantic: (1) upwelling intensity west of North Africa, and (2) the E-W SST gradient across the subtropic North Atlantic. Both indices can be used to qualitatively assess changes in wind-driven subtropical gyre circulation based on the theory of mid-latitude stationary waves, which links the summer development of North Atlantic subtropical anticyclones to latent heat released over northern continents during the advance of summer monsoons (Hoskins, 1996; Mantsis et al., 2013).</p>
      <p id="d2e1198">Specifically, in the mid-Holocene, large diabatic heating anomalies associated with enhanced convective precipitation in northern continents should have favored the development of stronger subtropical anticyclones (Mantsis et al., 2013; Rodwell and Hoskins, 2001). Enhanced subsidence of dry air and stronger easterly trade winds associated with these anticyclones would promote upwelling and sea surface cooling in the northern tropical Atlantic. This relatively cold SST associated with tropical upwelling is well documented in temperature reconstructions from planktonic foraminiferal assemblages at ODP 658 (Fig. 2e, deMenocal et al., 2000), which are dominated by <italic>G. bulloides</italic> – a species indicative of nutrient-rich upwelling waters at low latitudes (fauna data in Fig. 2 of deMenocal et al., 2000).</p>
      <p id="d2e1204">Enhanced summer heating over the northern continents during the mid-Holocene should have also promoted a stronger subtropical anticyclone with northward and westward expansion (Mantsis et al., 2013), favoring sea surface warming in the western subtropical Atlantic (Seager et al., 2003). Consistent with this, SST-alk records indicate relatively warm conditions in the western basin (Sachs, 2007). More importantly, the warming in the west and cooling in the east during the mid-Holocene gave rise to a positive SST gradient between GGC 19 (37° N) and ODP 658 (21° N) (Fig. 4a solid line).</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e1210">Changes in SST gradients across <bold>(a)</bold> the subtropical North Atlantic and <bold>(b)</bold> the mid-latitude North Atlantic.</p></caption>
            <graphic xlink:href="https://cp.copernicus.org/articles/22/1729/2026/cp-22-1729-2026-f04.png"/>

          </fig>

      <p id="d2e1225">During the late Holocene, declining summer insolation led to a weakening of the subtropical anticyclone. This weakening, combined with an equatorward shift in the mean position of the inter-gyre circulation and the NAC, particularly during summer, helps explain the rapid cooling observed at ODP U1304 <inline-formula><mml:math id="M88" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 ka, as well as the pronounced cooling recorded at GGC 19, 26, and 30. In the eastern subtropical basin, the weakening of the African Monsoon and associated easterly winds after <inline-formula><mml:math id="M89" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 ka likely accounts for the approximate synchrony between the cooling at ODP U1304 and the termination of the African Humid Period, as recorded in ODP Site 658 (deMenocal et al., 2000). This weakening also explains the observed reduction in upwelling intensity and surface warming at Site 658. Together with the cooling to the east, the cross-basin SST gradient reversed, transitioning from a positive west-to-east gradient to a negative one (Fig. 4a).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Model-data discrepancy</title>
      <p id="d2e1252">The discussions above provide empirical evidence of dynamic inter-gyre circulation during the Holocene. In this section, we compare our results with the TraCE-21K simulation. TraCE-21K is a transient global climate model that uses the fully coupled CCSM3 to simulate climatic evolution since 21 ka (He, 2011). Because it successfully reproduces many major features of postglacial climate dynamics, including abrupt climate changes, TraCE-21K has been widely used in studies of climate evolution since the Last Glacial Maximum (Erb et al., 2022; Liu et al., 2009, 2014; Marcott et al., 2011).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1257">North Atlantic climatology in TraCE-21K: <bold>(a)</bold> horizontal SST gradient and <bold>(b)</bold> wind-stress-curl during 6–8 ka.</p></caption>
        <graphic xlink:href="https://cp.copernicus.org/articles/22/1729/2026/cp-22-1729-2026-f05.jpg"/>

      </fig>

      <p id="d2e1272">We first calculated the annual mean <inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST between 6–8 and 0–2 ka in the TraCE-21K simulation. As shown in Fig. 3a, the model simulates basin-wide warming over the past 6 kyr (color shading), which is not reflected in the <inline-formula><mml:math id="M91" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST-alk data (blue numbers), either in terms of the sign of change or spatial pattern. We also calculated two SST gradients in the TraCE-21K model: (1) <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST between ODP U1304 and U1308 in the subpolar, and (2) <inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST between GGC26 and ODP 658 across the subtropical North Atlantic (Fig. 4). Again, the model shows no significant change in these gradients (dashed lines), in contrast to the proxy records.</p>
      <p id="d2e1304">Considering that SST-alk is likely seasonally biased, we also examined changes in summer temperatures (June, July, August) between 6–8 and 0–2 ka in the TraCE-21K simulation (Fig. S3a). Although some cooling is observed along the coast of Greenland, the model still shows basin-wide warming in the mid-latitudes. This suggests that the data–model discrepancy cannot be simply attributed to an artifact of comparing seasonally biased proxies with modeled annual mean temperatures.</p>
      <p id="d2e1307">We additionally analyzed SST results from the TraCE-21K-II simulations. TraCE-21K-II is a modified version of TraCE-21K with the same climatic forcing, but without freshwater fluxes into the North Atlantic throughout the Holocene, designed to better align the modeled AMOC temporal variability with proxy reconstructions. (<inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">231</mml:mn></mml:msup><mml:mi mathvariant="normal">Pa</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">230</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> ratio from Bermuda Rise) (He and Clark, 2022). We calculated both summer and annual mean <inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST between 6–8 and 0–2 ka in TraCE-21K-II (Fig. S3b, c). The annual mean <inline-formula><mml:math id="M96" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST again shows basin-wide warming. Changes in summer temperatures, on the other hand, show some improvement, with no warming in the subpolar gyre during the late Holocene. Nevertheless, the zonally asymmetric cooling is still not well represented.</p>
      <p id="d2e1343">In Sect. 5, we linked <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST–alk changes to variations in inter-gyre circulation using proxy records. It is therefore reasonable to speculate that the models' misrepresentation of the <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST pattern may also reflect an inadequate representation of inter-gyre circulation dynamics. To illustrate this point, we perform two additional analyses: first, we calculate the horizontal SST gradient, and second, we examine the Holocene wind stress curl pattern in TraCE-21K.</p>
      <p id="d2e1360">The most interesting feature is that the maximum horizontal SST gradient and the corresponding zero wind-stress-curl line in the model are located at <inline-formula><mml:math id="M99" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40° N, maintaining a nearly W-E zonal orientation (Figs. 5 and 3c). This stands in sharp contrast to modern observations, which exhibit a distinct SW-NE tilt. Furthermore, the wind-stress curl distribution during the 6–8 ka period shows little difference from that of the last 2 kyr in the model (Fig. S5), suggesting that the inter-gyre circulation remains largely invariant throughout the Holocene in the simulation. A comparable, temporally stable SST gradient is also evident in the TraCE-21K-II model (Fig. S4).</p>
      <p id="d2e1370">Overall, our analyses indicate that the inter-gyre circulation and the NAC in the model do not behave as they do in the modern ocean, nor as they are inferred to have operated during the mid-Holocene. What might explain this model misrepresentation? While a comprehensive discussion of this issue is beyond the scope of this study, and may also be model-dependent, we propose two tentative explanations.</p>
      <p id="d2e1373">An immediate reason may lie in the model's limitation to capture the substantial cooling of the subpolar gyre during the late Holocene. Paleoclimate evidence indicates that the late Holocene was marked by increased Arctic freshwater export into the subpolar gyre via the East Greenland Current (EGC) and intensified atmospheric westerlies, both of which contributed to cooling and freshening across the central subpolar gyre and reduced influence of Atlantic waters in the Denmark Strait after <inline-formula><mml:math id="M100" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4–5 ka (Morley et al., 2014; Moros et al., 2012). While the model does simulate some degree of coastal cooling along Greenland (Figs. S3, S4), it does not reproduce the widespread cooling observed across the subpolar and inter-gyre regions. The associated southward shift of the Subarctic Front (SAF) is also not adequately represented in simulations.</p>
      <p id="d2e1384">On the other hand, our analysis also indicate that model appear unable to simulate inter-gyre circulation with its SE-NE tilt during both the middle and late Holocene, let along its time variations. It has recently been recognized that model resolution is crucial for accurately representing midlatitude western boundary currents and their associated eddies (Chassignet and Marshall, 2008; Chassignet and Xu, 2017; Hirschi et al., 2020; Maltrud and McClean, 2005). The coarse horizontal resolution characteristic of long transient simulations, such as TraCE-21k, may partially explain why the mean geometry of inter-gyre circulation and temporal variability are not well resolved.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d2e1395">Holocene global temperature estimates yield conflicting results between proxy reconstructions and model simulations, raising questions about the relative importance of CO<sub>2</sub> and orbital forcing in determining global climate sensitivity, as well as about the robustness of paleoclimate reconstructions. In this study, we use alkenone-derived sea surface temperatures (SSTs) to examine the spatial and temporal trends of SST changes in the inter-gyre North Atlantic. We also integrate planktonic foraminifera assemblages with published geochemical records to investigate circulation changes within these mid-latitude frontal systems associated with cooling. We find that: <list list-type="order"><list-item>
      <p id="d2e1409">The mid- to late Holocene summertime cooling in the North Atlantic is characterized by an increased zonal SST gradient in the mid-latitude inter-gyre region, with greater cooling in the west than in the east. This zonal asymmetry suggests that the cooling cannot be attributed to a direct response to local summer insolation changes.</p></list-item><list-item>
      <p id="d2e1413">Multiple lines of evidence suggest that the spatial pattern of <inline-formula><mml:math id="M102" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST-alk is associated with changes in inter-gyre circulation. The poor representation of the position and orientation of the inter-gyre circulation in the mid-latitude North Atlantic in models accounts for the observed data-model discrepancies.</p></list-item></list></p>
</sec>

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

      <p id="d2e1427">Data generated in this study is available as online supplementary materials.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e1430">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/cp-22-1729-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/cp-22-1729-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e1439">W. Si generated the proxy and fauna data and drafted the manuscript. All authors contributed to writing the discussion section and revisions.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e1445">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="d2e1451">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="d2e1458">All research materials originated from the International Ocean Discovery Program (IODP).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e1463">This work is partially supported by NSF-OCE 2202760 and 2410906 to W. Si and T. Herbert.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e1469">This paper was edited by Luc Beaufort and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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