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  <front>
    <journal-meta><journal-id journal-id-type="publisher">OS</journal-id><journal-title-group>
    <journal-title>Ocean Science</journal-title>
    <abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1812-0792</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/os-22-629-2026</article-id><title-group><article-title>Subpolar Atlantic meridional heat transports from OSNAP and ocean reanalyses – a comparison</article-title><alt-title>Subpolar Atlantic meridional heat transports</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Winkelbauer</surname><given-names>Susanna</given-names></name>
          <email>susanna.winkelbauer@univie.ac.at</email>
        <ext-link>https://orcid.org/0000-0003-2676-2057</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Winterer</surname><given-names>Isabella</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Mayer</surname><given-names>Michael</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Fu</surname><given-names>Yao</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2227-3694</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Haimberger</surname><given-names>Leopold</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0379-6353</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Meteorology and Geophysics, University of Vienna, Vienna, Austria</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>European Centre for Medium-Range Weather Forecasts, Bonn, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>College of Marine Science, University of South Florida, Florida, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Susanna Winkelbauer (susanna.winkelbauer@univie.ac.at)</corresp></author-notes><pub-date><day>16</day><month>February</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>1</issue>
      <fpage>629</fpage><lpage>651</lpage>
      <history>
        <date date-type="received"><day>21</day><month>August</month><year>2025</year></date>
           <date date-type="rev-request"><day>29</day><month>August</month><year>2025</year></date>
           <date date-type="rev-recd"><day>8</day><month>January</month><year>2026</year></date>
           <date date-type="accepted"><day>4</day><month>February</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Susanna Winkelbauer 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://os.copernicus.org/articles/22/629/2026/os-22-629-2026.html">This article is available from https://os.copernicus.org/articles/22/629/2026/os-22-629-2026.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/22/629/2026/os-22-629-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e130">Ocean reanalyses are potentially useful tools to study ocean heat transport (OHT) and its role in climate variability, but their ability to accurately reproduce observed transports remains uncertain, particularly in dynamically complex regions like the subpolar North Atlantic. Here, we evaluate currents, temperatures, and resulting OHT at the OSNAP (Overturning in the Subpolar North Atlantic Program) section by comparing OSNAP observations with outputs from a suite of global ocean reanalyses. While the reanalyses broadly reproduce the spatial structure of currents and heat transport across OSNAP West and East, systematic regional biases persist, especially in the representation of key boundary currents and inflow pathways.</p>

      <p id="d2e133">Temporal variability is well captured at OSNAP West, but none of the reanalyses reproduce the observed OHT variability at OSNAP East, especially a pronounced peak in 2015. This discrepancy in 2015 is traced to the glider region over the eastern Iceland Basin and Hatton Bank, where OSNAP data show a strong, localized inflow anomaly associated with the North Atlantic Current (NAC). This signal is absent from all reanalyses as well as from independent, indirect heat transport estimates based on surface heat fluxes and heat content. Investigation of sea level anomalies and implied geostrophic currents further confirm that this mismatch is mainly driven by differences in flow structure rather than temperature anomalies alone.</p>

      <p id="d2e136">Our results highlight both the value and limitations of reanalyses in capturing subpolar heat transport variability. While higher-resolution products such as GLORYS12V1 better represent circulation features, significant mismatches remain, especially in regions with sparse observational coverage. The findings underscore the need for improved observational networks and higher-resolution modeling to more accurately constrain subpolar OHT.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>European Space Agency</funding-source>
<award-id>4000145298/24/I-LR</award-id>
<award-id>4000147586/I/25-LR</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="d2e148">The Atlantic Meridional Overturning Circulation (AMOC) is a critical component of the global climate system, redistributing heat and freshwater between the tropics and high latitudes. This circulation is characterized by the northward transport of warm surface waters and the southward return of cooler, deeper waters, which together play a vital role in regulating regional and global climate variability. Variations in the AMOC can significantly impact Arctic sea ice <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx42" id="paren.1"/>, sea surface temperatures <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx13" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref> and, consequently, broader climate patterns across the Northern Hemisphere <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx16 bib1.bibx4 bib1.bibx27" id="paren.3"/>, highlighting the importance of understanding its variability and long-term changes. Anthropogenic greenhouse gas emissions are anticipated to drive a long-term weakening of the AMOC <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx59" id="paren.4"/>, superimposed on its natural variability, which occurs across timescales ranging from subseasonal to centennial <xref ref-type="bibr" rid="bib1.bibx4" id="paren.5"/>. Observations from the Rapid Climate Change–Meridional Overturning Circulation and Heatflux Array <xref ref-type="bibr" rid="bib1.bibx61" id="paren.6"><named-content content-type="pre">RAPID-MOCHA,</named-content></xref> at 26.5° N since 2004 have provided critical insights into AMOC variability on shorter timescales <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx66" id="paren.7"/>, but this record is not yet long enough to detect long-term trends. Furthermore, AMOC variability in the subtropical North Atlantic may differ from that in the subpolar region <xref ref-type="bibr" rid="bib1.bibx4" id="paren.8"/>. To explore past AMOC changes, researchers have turned to indirect evidence, such as the “warming hole” or “cold blob” in the subpolar North Atlantic, a region that has cooled or resisted warming, contrary to global trends, likely due to AMOC slowing <xref ref-type="bibr" rid="bib1.bibx59" id="paren.9"/>. Studies using proxies and indirect methods have suggested a possible weakening of the AMOC over the past century <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx5 bib1.bibx69" id="paren.10"/>, though with significant uncertainties <xref ref-type="bibr" rid="bib1.bibx53" id="paren.11"/>. While climate models have successfully predicted global mean temperature changes, their ability to accurately reproduce past AMOC changes remains limited, with many models underestimating AMOC sensitivity and failing to simulate features like the observed cold blob <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx50" id="paren.12"/>. Direct and sustained observations in the subpolar North Atlantic are therefore critical for capturing the structure and variability of the AMOC and refining model predictions.</p>
      <p id="d2e193">The Overturning in the Subpolar North Atlantic Program (OSNAP) provides continuous observations of meridional transports of volume, heat, and freshwater from 2014 onward across the subpolar North Atlantic <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx35 bib1.bibx38" id="paren.13"/>. These observations offer valuable insights into the mechanisms and variability of the AMOC <xref ref-type="bibr" rid="bib1.bibx81" id="paren.14"/>. The OSNAP observations also serve as a benchmark for validating ocean reanalyses <xref ref-type="bibr" rid="bib1.bibx2" id="paren.15"/> and climate models <xref ref-type="bibr" rid="bib1.bibx51" id="paren.16"/>, which are critical for extending our understanding of AMOC variability beyond the observational record.</p>
      <p id="d2e208">Ocean reanalyses (ORAs) have become an essential tool for studying past ocean states, variabilities and long-term climate trends <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx76 bib1.bibx46 bib1.bibx47" id="paren.17"/>. However, their reliability depends heavily on the quality and quantity of assimilated data, with data scarcity in the deep ocean and high-latitude regions posing significant challenges. Despite these limitations, ORAs have been shown to realistically capture observed trends and variability in northern high-latitude ocean heat content (OHC) <xref ref-type="bibr" rid="bib1.bibx46" id="paren.18"/>. However, their performance deteriorates in data-sparse areas like the deep ocean, where observational constraints are limited <xref ref-type="bibr" rid="bib1.bibx57" id="paren.19"/>. Although oceanic heat transports (OHT) play a critical role in the climate system and reanalyses would provide a vital tool for studying their variability prior to the availability of direct observations, their validation has received comparatively less attention than the validation of state quantities such as OHC. As reanalyses generally do not assimilate direct observations of ocean currents, their transport estimates depend largely on model dynamics and parameterizations and observational constraints provided indirectly through the assimilation of sea level anomalies and temperature/salinity profiles. Since much of the heat transport associated with the AMOC is in geostrophic balance, these components of the velocity field are indirectly constrained by observations, while limitations remain particularly for boundary currents and narrow passages, where direct velocity measurements are not assimilated. An additional difficulty is the methodological complexity of OHT estimation (e.g., depth vs. density space, reference temperature choice), which complicates validation.</p>
      <p id="d2e220">Overall, past studies have demonstrated that while ocean reanalyses generally capture the mean and variability of key features such as integrated transports reasonably well, notable biases persist, particularly in the representation of deep water masses, overflow waters, and the spatial structure of currents in narrower sections <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx17" id="paren.20"/>. <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx29" id="text.21"/> have shown that reanalyses can capture key aspects of AMOC variability at the RAPID array in the subtropical North Atlantic.  At subpolar latitudes, <xref ref-type="bibr" rid="bib1.bibx2" id="text.22"/> found that reanalyses broadly reproduce the magnitude and variability of the AMOC at OSNAP, supporting their use in studying the overturning circulation. However, their analysis did not assess heat transport variability or its spatial distribution, leaving important gaps in our understanding of how reanalyses represent heat transport at OSNAP.</p>
      <p id="d2e233">The present study addresses this critical gap  by comparing observational and reanalysis-derived OHT estimates across the western and eastern branch of the OSNAP section. These are accompanied by detailed analyses of cross-sections of currents and temperatures to find reasons between the arising differences such that we can reliably assess how well reanalyses replicate observed variability and show the value of integrating observational and model-based approaches to advance climate research.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data description</title>
      <p id="d2e251">OSNAP is a sustained, international ocean observing initiative established in 2014 to provide comprehensive measurements of the Atlantic Meridional Overturning Circulation (AMOC) in the subpolar North Atlantic <xref ref-type="bibr" rid="bib1.bibx37" id="paren.23"/>. While the program’s primary objective is to quantify AMOC variability, it also provides integrated meridional heat and freshwater fluxes. The OSNAP array, which consists of moorings, gliders and floats, includes two legs: OSNAP West, spanning from Labrador Shelf to West Greenland, and OSNAP East, extending from East Greenland to Scotland. Figure <xref ref-type="fig" rid="F1"/> illustrates the OSNAP array, including its network of moorings and glider deployments <xref ref-type="bibr" rid="bib1.bibx37" id="paren.24"><named-content content-type="pre">for further details, see</named-content></xref>.</p>
      <p id="d2e264">We compare those observational estimates of oceanic transports to monthly output from a set of global ocean reanalyses, including ORAS5 <xref ref-type="bibr" rid="bib1.bibx82" id="paren.25"><named-content content-type="pre">Ocean ReAnalysis System 5,</named-content></xref>, CGLORSv7 <xref ref-type="bibr" rid="bib1.bibx67" id="paren.26"><named-content content-type="pre">Centro Euro-Mediterraneo sui Cambiamenti Climatici Global Ocean Reanalysis System,</named-content></xref>, GLORYS2V4 <xref ref-type="bibr" rid="bib1.bibx19" id="paren.27"><named-content content-type="pre">Global Ocean Reanalysis and Simulation,</named-content></xref>, GloRanV14 (an improved version of GloSea5, also known as the FOAM, herafter called FOAMv2; <xref ref-type="bibr" rid="bib1.bibx41" id="altparen.28"/>), and GLORYS12V1 <xref ref-type="bibr" rid="bib1.bibx34" id="paren.29"/>. The first four products can be considered as an updated version of the Copernicus Marine Service (CMEMS) Global Reanalysis Ensemble Product (GREP; <xref ref-type="bibr" rid="bib1.bibx11" id="altparen.30"/>), while GLORYS12V1 extends the analysis with its higher resolution. The reanalyses are all based on the NEMO ocean model, with the GREP products being configured at a 0.25° horizontal resolution and 75 vertical levels, while GLORYS12V1 has a finer horizontal resolution of 0.083° and 50 vertical levels. The necessary atmospheric forcing for all ORAs was taken from the ERA-Interim <xref ref-type="bibr" rid="bib1.bibx10" id="paren.31"/> atmospheric reanalysis, after 2019 from ERA5 <xref ref-type="bibr" rid="bib1.bibx24" id="paren.32"/>. While this forcing is similar for all the ORAs, they  differ in their data assimilation methods, physical parameterizations, and initial conditions, which contribute to important differences in their transport estimates. Notably, ORAS5 assimilates sea level anomalies (SLA) only between 50° S and 50° N, whereas the other four reanalyses assimilate SLA in ice-free seas globally. All reanalyses assimilate in situ temperature and salinity profiles and SLA, which constrain the large-scale geostrophic circulation, but none assimilate direct velocity observations from current meters or ADCPs. In contrast, OSNAP transport estimates are derived from direct, full-depth observations of velocity, temperature, and salinity obtained from moorings, gliders and hydrographic measurements. As a result, OSNAP and the reanalyses differ fundamentally in how ocean velocities, in particular boundary currents, are constrained.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e301">List of used ocean reanalyses. All reanalyses assimilate temperature and salinity profiles and sea level anomalies, which constrain the large-scale geostrophic circulation. None of the products assimilate direct velocity observations from current meters or ADCPs, including those from the OSNAP array.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="5cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="5cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Reanalysis</oasis:entry>
         <oasis:entry colname="col2">Resolution</oasis:entry>
         <oasis:entry colname="col3" align="left">Assimilated data</oasis:entry>
         <oasis:entry colname="col4" align="left">Assimilation scheme</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">ORAS5        <xref ref-type="bibr" rid="bib1.bibx82" id="paren.33"/></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>°</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> profiles,         SLA (50° S–50° N),        SST, SIC</oasis:entry>
         <oasis:entry colname="col4" align="left">NEMOVAR (3D-Var)  <xref ref-type="bibr" rid="bib1.bibx54" id="paren.34"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">CGLORSv7  <xref ref-type="bibr" rid="bib1.bibx67" id="paren.35"/></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>°</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> profiles,         SLA (global, ice-free),      SST, SIC</oasis:entry>
         <oasis:entry colname="col4" align="left">OceanVar (3D-Var)  <xref ref-type="bibr" rid="bib1.bibx12" id="paren.36"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">GLORYS2V4  <xref ref-type="bibr" rid="bib1.bibx19" id="paren.37"/></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>°</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> profiles,       SLA (global, ice-free),       SST, SIC</oasis:entry>
         <oasis:entry colname="col4" align="left">SAM2 (SEEK, multivariate)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">FOAMv2/GloRanV14  <xref ref-type="bibr" rid="bib1.bibx41" id="paren.38"/></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>°</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> profiles,         SLA (global, ice-free),         SST, SIC</oasis:entry>
         <oasis:entry colname="col4" align="left">NEMOVAR (3D-Var)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">GLORYS12V1  <xref ref-type="bibr" rid="bib1.bibx34" id="paren.39"/></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula>°</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> profiles,        SLA (global, ice-free),        SST, SIC</oasis:entry>
         <oasis:entry colname="col4" align="left">SAM (SEEK, multivariate)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e539">To assess geostrophic circulation anomalies at the surface, we use satellite-derived sea level anomalies (SLA) from the CMEMS multi-mission product <xref ref-type="bibr" rid="bib1.bibx14" id="paren.40"/>. This dataset provides global, gridded SLA fields referenced to the 1993–2012 mean, with a 0.25° horizontal resolution. It is based on delayed-time altimeter observations from multiple satellite missions and includes standard corrections for tides, atmospheric pressure, and instrumental effects. The resulting fields allow for the estimation of surface geostrophic velocities through sea level gradients.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e547">Map of the OSNAP region and the general ocean bathymetry, schematically depicting OSNAP East, OSNAP West, mooring and glider locations used for the OSNAP obseravtions, as well as the Greenland-Scotland Ridge, Fram Strait and the Barents Sea Opening (BSO).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f01.png"/>

        </fig>

      <p id="d2e556">To reduce short-term variability and highlight interannual changes, all time series are smoothed with a 12-month running mean, unless otherwise indicated.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Cross-sections and transports</title>
      <p id="d2e567">Velocity and temperature sections reveal oceanic flow and temperature distributions across specific straits or regions, facilitating the understanding of the structure and variability of OHT.</p>
      <p id="d2e570"><xref ref-type="bibr" rid="bib1.bibx18" id="text.41"/> provide gridded sections of velocities, temperatures, and salinities as well as integrated transports of heat, freshwater and volume across the OSNAP line using in situ measurements from moored instruments deployed at multiple depths across the subpolar North Atlantic. These moored observations are supplemented by gliders and Argo floats, which fill spatial gaps between moorings and provide additional data in regions without moored observations. The positions of moorings and glider sections are shown in Fig. <xref ref-type="fig" rid="F1"/>. Detailed descriptions of the instruments, as well as calculation and interpolation techniques used, can be found in <xref ref-type="bibr" rid="bib1.bibx35" id="text.42"/> and <xref ref-type="bibr" rid="bib1.bibx37" id="text.43"/>.</p>
      <p id="d2e583">We aim to compare the observed velocity and temperature sections, as well as integrated transports across the OSNAP section, to those derived from ocean reanalyses. Extracting accurate velocity sections and calculating transports from reanalyses is challenging as ocean models often use complex curvilinear or unstructured grids, necessitating the accurate handling of varying grid geometries. To address this, we use StraitFlux <xref ref-type="bibr" rid="bib1.bibx78" id="paren.44"/>, a Python tool specifically designed to calculate cross-sections and transports in a manner consistent with the discretization schemes of the analyzed models, and to preserve conservation properties of the model's native grids. More details on the calculation methods can be found in <xref ref-type="bibr" rid="bib1.bibx78" id="text.45"/>.</p>
      <p id="d2e592">To assess cross-sectional biases and RMSE values between OSNAP and reanalyses, the reanalyses sections are interpolated bilinearly in the along-section and vertical directions onto the common OSNAP gridded section, defined by the OSNAP “along-section” distance coordinate and depth levels.</p>
      <p id="d2e596">In addition to cross-sections, we analyze integrated oceanic transports through the OSNAP section. In general, oceanic transports of volume (OVT), heat (OHT), and other tracers through a given cross-section are key metrics for understanding ocean circulation and energy transfer. These transports are defined mathematically as integrals over the cross-sectional area, incorporating the velocity field and additional scalar properties such as temperature or tracer concentration. In this study, we focus on the transport of heat, which can be expressed as:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M11" display="block"><mml:mrow><mml:mi mathvariant="normal">OHT</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:munderover><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:munderover><mml:mo>(</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="bold-italic">v</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold-italic">z</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mi mathvariant="bold-italic">n</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:math></disp-formula>

          with the velocity vector <inline-formula><mml:math id="M12" display="inline"><mml:mi mathvariant="bold-italic">v</mml:mi></mml:math></inline-formula> and the unit normal vector to the cross-section <inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="bold-italic">n</mml:mi></mml:math></inline-formula>. The cross-sectional area of the strait is defined by its width <inline-formula><mml:math id="M14" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and depth <inline-formula><mml:math id="M15" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>. The density of seawater is represented by <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> and the specific heat capacity of seawater by <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. For simplicity, transport calculations based on reanalyses are performed assuming constant <inline-formula><mml:math id="M18" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> (1026 kg m<sup>−3</sup>) and <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (3996 J kgK<sup>−1</sup>), while for OSNAP observations transports <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are calculated for each grid cell as a function of temperature, salinity, and pressure <xref ref-type="bibr" rid="bib1.bibx35" id="paren.46"/>. However, the impact of these differences should be minimal, as variations in <inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> tend to compensate each other, resulting in negligible changes to the total transports <xref ref-type="bibr" rid="bib1.bibx15" id="paren.47"/>. Additionally, the potential temperature <inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> and a reference temperature <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are needed for estimating heat transports. Strictly speaking, unambiguous heat transports would require closed mass transports across the examined section, which is generally not the case for partial sections such as OSNAP East and West and only approximately satisfied for the total oceanic transport <xref ref-type="bibr" rid="bib1.bibx62" id="paren.48"/>. Therefore, heat transports depend on the choice of reference temperature. To minimize the ambiguity arising from this choice, <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> should be chosen to represent the section-mean temperature of the flow across the considered section <xref ref-type="bibr" rid="bib1.bibx1" id="paren.49"/>. However, to ensure internal consistency across products we calculate all heat transports relative to a constant reference temperature of <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> °C, following common practice <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx55 bib1.bibx25 bib1.bibx65" id="paren.50"><named-content content-type="pre">e.g.,</named-content></xref>. Throughout this study, the term “heat transport” is therefore used in this conventional, reference-dependent sense and describes the transport of heat referenced to water at 0 °C. To avoid interpolation and preserve the numerical consistency of fluxes on the native model grids, net integrated transports from reanalyses are calculated using StraitFlux's line-integration method, in which transports are integrated directly along the native model grid cell faces that intersect the section, thereby approximating the target section as closely as possible on the native grid <xref ref-type="bibr" rid="bib1.bibx78" id="paren.51"/>.</p>
      <p id="d2e901">All transport calculations in this study are based on monthly mean output from the ocean reanalyses. To evaluate the potential influence of temporal resolution, we additionally tested calculations based on daily velocity and temperature fields for GLORYS12V1, which include sub-monthly covariance terms (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) that are not explicitly resolved when using monthly mean fields. The resulting differences in integrated heat transport across the OSNAP section amount to about 2 TW on average over the analysis period (corresponding to approximately 0.5 % of the mean transport, see Fig. <xref ref-type="fig" rid="FA2"/>), with negligible impact on variability. This indicates that monthly output provides a sufficiently accurate representation for the purposes of this study.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Indirect estimation of heat transports</title>
      <p id="d2e930">To complement the ORA-based OHT estimates, a largely independent heat transport estimate was additionally obtained following the oceanic heat budget approach outlined in <xref ref-type="bibr" rid="bib1.bibx45" id="text.52"/>.

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M31" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">OHT</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">OSNAP</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">OHT</mml:mi><mml:mrow><mml:mi mathvariant="normal">GSR</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">FS</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BSO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mfenced close="" open="["><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mo>∂</mml:mo><mml:mrow><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi>Z</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msubsup><mml:mfenced close="]" open=""><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Adj</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:msub><mml:mi mathvariant="normal">OSNAP</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">GSR</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">FS</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BSO</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e1093">The vertical net surface energy flux, counted positive if downward, is denoted as <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. We define gridpoint ocean temperatures as <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the reference temperature as <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the sea ice density <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (assumed constant at 928 kg m<sup>−3</sup>) and gridpoint average sea ice thickness <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This method infers OHT at OSNAP East by integrating <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the heat content changes (OHCT; second term inside the brackets of Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>) and the melt ice tendencies (MET; third term inside the brackets) over the area between the OSNAP-East section and a nearby section where observations are available.</p>
      <p id="d2e1177"><inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is estimated indirectly from atmospheric budgets, so these are much better constrained by independent observations than parameterized surface fluxes, which typically are more uncertain and depend on the sea state <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx70" id="paren.53"/>. Therefore, divergences and tendencies from atmospheric reanalyses ERA5 <xref ref-type="bibr" rid="bib1.bibx43" id="paren.54"><named-content content-type="pre">mass-consistent energy budgets,</named-content></xref>, MERRA2 <xref ref-type="bibr" rid="bib1.bibx20" id="paren.55"/> and JRA55 <xref ref-type="bibr" rid="bib1.bibx32" id="paren.56"/> are combined with top-of-atmosphere (TOA) fluxes from CERES-EBAF TOA version 4.2 <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx56" id="paren.57"/>. An updated implementation based on the newer JRA-3Q <xref ref-type="bibr" rid="bib1.bibx33" id="paren.58"/> reanalysis is currently under development and will be addressed in future work once the corresponding energy budgets are fully consolidated.</p>
      <p id="d2e1211">OHC is taken from the GREP reanalyses mentioned above, the Institute of Atmospheric Physics version 4 <xref ref-type="bibr" rid="bib1.bibx7" id="paren.59"><named-content content-type="pre">IAPv4</named-content></xref> and Random Forest Regression Ocean Maps <xref ref-type="bibr" rid="bib1.bibx39" id="paren.60"><named-content content-type="pre">RFROM</named-content></xref>. The melt ice tendencies MET is calculated from GIOMAS <xref ref-type="bibr" rid="bib1.bibx80" id="paren.61"/> and ORAS5, which both provide ice thickness fields at 1   and <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>° resolution, respectively.</p>
      <p id="d2e1240">Heat transport estimates inferred from mass-consistent atmospheric energy budgets <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx49" id="paren.62"><named-content content-type="pre">see, e.g.,</named-content></xref> are used at two different choke-points: the Greenland-Scotland Ridge (GSR), and the combination of Fram Strait (FS) and the Barents Sea Opening (BSO). While the GSR transports are available continuously from 1993 to 2021 <xref ref-type="bibr" rid="bib1.bibx73" id="paren.63"/>, the Fram Strait and BSO estimates are limited to the ArcGate campaign period from October 2004 to April 2010 <xref ref-type="bibr" rid="bib1.bibx74" id="paren.64"/>. To enable comparisons over the extended OSNAP period, we construct a synthetic ensemble of Fram <inline-formula><mml:math id="M41" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BSO transports by extrapolating the limited ArcGate observations. The extrapolation uses a first-order autoregressive [AR(1)] model that preserves the observed seasonal cycle and reproduces realistic variability based on the lag-1 autocorrelation and the standard deviation of monthly anomalies. We generate 1000 synthetic realizations to sample the range of plausible interannual variability. Using the GSR as a boundary introduces larger uncertainties due to the relatively high magnitude and variability of the heat transport across the ridge. In contrast, integrating from Fram Strait and the BSO benefits from lower uncertainties in the upstream OHT, but requires a larger integration domain (potentially leading to larger accumulated errors) and more careful treatment of sea ice processes and storage. By considering both configurations, we leverage the strengths of each approach and account for complementary sources of uncertainty in estimating the subpolar heat transport.</p>
      <p id="d2e1261">An approach like this would require a closed volume. However, the region bounded by the choke-points and OSNAP East includes an open passage between Scotland and Norway (ScoNo in Fig. <xref ref-type="fig" rid="F1"/>). Since exchanges through this passage are negligibly small (ORAS5 gives a mean transport of 3 <inline-formula><mml:math id="M42" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8 TW, more than two orders of magnitude smaller than transports across OSNAP East), they are excluded from the calculation. Additionally, to address global inconsistencies between air–sea heat fluxes and ocean heat content tendencies (OHCT), we apply a spatially uniform adjustment <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to the net heat fluxes. Specifically, we subtract the monthly difference between the global full-depth OHCT and surface fluxes at every grid point as implemented e.g. in  <xref ref-type="bibr" rid="bib1.bibx45" id="text.65"/> and <xref ref-type="bibr" rid="bib1.bibx70" id="text.66"/>.</p>
      <p id="d2e1290">To account for uncertainty in each component of the budget, we combine three estimates for surface fluxes, six estimates for OHC, and two estimates for sea ice in all possible permutations, resulting in 36 estimates for both choke-points. The data used is summarized in Table <xref ref-type="table" rid="T2"/>.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e1298">Datasets used for indirect heat transport estimates.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">variable</oasis:entry>
         <oasis:entry colname="col2">datasets</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Fs inferred</oasis:entry>
         <oasis:entry colname="col2">ERA5, JRA55, MERRA2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OHCT</oasis:entry>
         <oasis:entry colname="col2">IAPv4, RFROM, ORAS5, CGLORS, GLORYS2V4, FOAMv2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MET</oasis:entry>
         <oasis:entry colname="col2">GIOMAS, ORAS5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1352">A similar approach has recently been applied and evaluated by <xref ref-type="bibr" rid="bib1.bibx52" id="text.67"/>, who used surface fluxes and heat storage terms between OSNAP and RAPID to estimate heat transports at the RAPID section. Their results show good agreement with direct in situ estimates in terms of the mean and reasonable agreement in terms of temporal variability, supporting the use of energy budget methods to bridge observational gaps between ocean sections. Our analysis, which additionally incorporates independent ocean reanalyses and explicit uncertainty estimates for all budget components, might provide a useful complement and help to build confidence in this approach.</p>
      <p id="d2e1359"><xref ref-type="bibr" rid="bib1.bibx6" id="text.68"/> present a novel Atlantic ocean heat transport dataset derived from a combination of Argo temperature profiles, satellite altimetry and gravimetric constraints. This product provides valuable insight into basin-scale heat transport variability across complete latitude bands. However, because it is defined along zonal sections and provided at 3-monthly resolution, it cannot be directly applied to the OSNAP section geometry or used to distinguish between OSNAP East and West, which is central to the present analysis. Nevertheless, such approaches offer an important complementary perspective on large-scale heat transport variability and are highly valuable for basin-scale assessments.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Temperature and Velocity Cross-Sections</title>
      <p id="d2e1380">The temperature distribution along the OSNAP section is shown in Fig. <xref ref-type="fig" rid="F2"/>a, while the corresponding temperature biases for the reanalyses relative to the OSNAP observations are presented in Fig. <xref ref-type="fig" rid="F2"/>b–f. The OSNAP temperature cross-section reveals a distinct thermal structure across the North Atlantic, with warmer waters concentrated in the Rockall Trough and the upper layers of the Iceland Basin, where the North Atlantic Current transports heat from lower latitudes northward. Below the warm Atlantic Water layer, temperatures gradually decrease and transition to deeper, colder water masses. In contrast, the Irminger Basin and the Labrador Basin are characterized by significantly colder waters. These basins are influenced by waters of subpolar and Arctic origin, with the coldest and densest overflow waters formed in the Nordic Seas. While the reanalysis models broadly reproduce the large-scale thermal structure observed by OSNAP, they exhibit systematic and regionally varying temperature biases. Temperatures are predominantly underestimated in the basin interiors, with cold biases reaching up to <inline-formula><mml:math id="M44" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.0 °C, particularly in ORAS5. In contrast, distinct warm biases appear at the Labrador Shelf as well as the West and East Greenland Shelfs, the highly dynamical Reykjanes Ridge, intermediate waters in Iceland basin, west of Hatton and Rockall Bank, Rockall Trough and deep waters below 2000 m along the continental slopes of the Irminger, Labrador and to a lesser extent also Iceland Basins. While we treat OSNAP observations as a reference, comparisons with the EN4 objective analysis dataset <xref ref-type="bibr" rid="bib1.bibx22" id="paren.69"/> reveal some differences (see Fig. <xref ref-type="fig" rid="FA1"/>). EN4 generally shows a cold bias relative to OSNAP, with particularly pronounced discrepancies near the Reykjanes Ridge and along the Labrador Shelf. These differences might reflect EN4’s coarser resolution and the sparser observational coverage in the subpolar North Atlantic, but at the same time, while OSNAP offers more detailed and spatially resolved data, it may also be subject to its own observational and methodological uncertainties <xref ref-type="bibr" rid="bib1.bibx35" id="paren.70"/>.</p>
      <p id="d2e1403">Figure <xref ref-type="fig" rid="F3"/> illustrates the temporal RMSE values relative to OSNAP observations. All reanalyses exhibit similar spatial patterns of error, suggesting a shared underlying structure in their deviations from observations. The strongest RMSE values are found in surface waters, particularly over the continental shelves and along the Reykjanes Ridge, as well as in intermediate waters within the Iceland Basin, where important inflow branches of the North Atlantic Current (NAC) are located. However, no direct mooring observations are available in this region, and ARGO <xref ref-type="bibr" rid="bib1.bibx31" id="paren.71"/> floats provide the primary observational coverage. Additionally, RMSE values are elevated below 2000 m in the Labrador Basin, where a distinct “break” in the error pattern appears. This could be attributed to a lack of observationally constrained variability at these depths in the ORAs as ARGO data are only available down to 2000 m.</p>
      <p id="d2e1411">Figure <xref ref-type="fig" rid="F4"/>a depicts the time-mean currents across the OSNAP-East and OSNAP-West sections, while Fig. <xref ref-type="fig" rid="F4"/>b–f illustrate the mean biases of the reanalyses relative to observations. Although the reanalyses generally capture the overall flow structure and main currents, discrepancies exist in both the strength and exact positioning of these currents.</p>
      <p id="d2e1418">Observations indicate that the Labrador Current (LC) originates close to the shore along the Labrador Shelf and extends along the continental slope down to the seafloor. In contrast, reanalysis data suggest a slightly more offshore and shallower LC position. Additionally, the reanalyses show a weak northward recirculation east of the LC, a feature absent in OSNAP observations, likely due to a lack of mooring coverage in that region. Similarly, all 0.25° reanalyses underestimate the strength of the West Greenland Current (WGC) and displace it slightly towards the shore, while the East Greenland Current (EGC) appears too broadly extended offshore, leading to an underestimation of southward current velocity along the continental slope and an overestimation further into the basin. These biases may contribute to the positive temperature anomalies observed along the continental slopes of the Irminger and Labrador basins. GLORYS12V1 shows very strong but very narrow velocity peaks, it overestimates the WGC and EGC at their peaks along the continental slopes but underestimates their strength farther offshore. Despite this sharp structure, the spatial mean absolute error remains comparable to that of the other reanalyses (see Fig. <xref ref-type="fig" rid="F4"/>). The East Reykjanes Ridge Current is systematically underestimated in all reanalyses, while the North Atlantic Current just west of Hatton Bank is overestimated across all ORAs except GLORYS2V4. Moreover, the reanalyses exhibit pronounced inflows and outflows within the Iceland Basin and, to a lesser extent, the Rockall Trough, regions where no mooring observations are available, making it difficult to assess the accuracy of these features.</p>
      <p id="d2e1424">Figure <xref ref-type="fig" rid="F5"/> presents the velocity temporal RMSE values relative to OSNAP observations. All reanalyses display similar spatial RMSE patterns, with GLORYS12V1 exhibiting greater variability due to its higher horizontal resolution. The largest variances are associated with major currents, particularly the North Atlantic Current in the Iceland Basin, where mooring observations are absent. In the basin interiors, the RMSE fields exhibit a streaky appearance, which likely reflects current misplacements but may also partly result from the sparse spatial coverage of the OSNAP moorings in the interior.</p>
      <p id="d2e1429">Despite broadly reproducing the thermal and dynamic structure along the OSNAP section, the reanalyses exhibit systematic biases with respect to OSNAP in both temperature and velocity fields. The cold biases in basin interiors, warm biases along continental slopes, and discrepancies in current positioning suggest limitations in how these models represent observed oceanic features given the relatively limited observational constraints. Notably, ocean currents are not directly assimilated in these reanalyses. While the general patterns of error are consistent across reanalyses, the absence of mooring observations in key regions, such as the Iceland Basin and Rockall Trough, adds further uncertainty.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1434"><bold>(a)</bold> Cross sections of August 2014 to June 2020 average temperatures along the OSNAP section; <bold>(b–f)</bold> biases of temperatures compared to OSNAP for the respective reanalyses. Mean Absolute Error (MAE) is indicated in the top-right corner of each bias panel.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f02.png"/>

        </fig>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1450">Cross-sections of temporal temperature RMSE (annual cycle removed) relative to OSNAP East for each reanalysis product over the period August 2014 to June 2020. Mean RMSE values are shown in the top-right corner of each panel.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f03.png"/>

        </fig>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1462"><bold>(a)</bold> Cross-section of August 2014 to June 2020 average velocities along the OSNAP section; <bold>(b–f)</bold> bias of velocity compared to OSNAP for the respective reanalyses. Major currents are indicated: Labrador Current (LC), West Greenland Current (WGC), East Greenland Current (EGC), Irminger Current (IC), East Reykjanes Ridge Current (ERRC) various branches of the North Atlantic Current (NAC; labeled in grey where no moorings are present). Mean Absolute Error (MAE) is indicated in the top-right corner of each bias panel.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f04.png"/>

        </fig>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1478">Cross-sections of temporal velocity RMSE (annual cycle removed) relative to OSNAP East for each reanalysis product over the period August 2014 to June 2020. Mean RMSE values are shown in the top-right corner of each panel.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Heat transports</title>
      <p id="d2e1495">Table <xref ref-type="table" rid="T3"/> shows average heat transport values over the August 2014 to June 2020 period. OSNAP observations show a net heat transport of 417 <inline-formula><mml:math id="M45" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 27 TW for OSNAP East. While reanalyses generally yield lower values, all except ORAS5 fall within the observational uncertainty range. For OSNAP West, observations indicate a heat transport of 85 <inline-formula><mml:math id="M46" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 TW. Among the reanalyses, only the higher-resolution GLORYS12V1 (92 TW) falls within the observational uncertainty range, whereas ORAS5 significantly overestimates it, and the remaining three reanalyses substantially underestimate the observed values. Figure <xref ref-type="fig" rid="F6"/> presents the net integrated heat transports across OSNAP West (a) and East (b), comparing OSNAP-derived heat transports with direct transport estimates derived from the reanalyses using StraitFlux <xref ref-type="bibr" rid="bib1.bibx78" id="paren.72"/>. In addition to individual ORA outputs, the GREP mean (mean of the four 0.25° reanalyses) is shown, along with its associated uncertainty (<inline-formula><mml:math id="M47" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula>1 standard deviation, blue shading). At OSNAP West, heat transport variability is generally lower compared to OSNAP East, though there is a considerable spread among ocean reanalyses. The reanalyses generally capture heat transport variability well, showing high correlations with observations (see Table <xref ref-type="table" rid="T4"/>), except for ORAS5 (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn></mml:mrow></mml:math></inline-formula>). GLORYS12V1, with higher resolution, closely follows observations (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), while the GREP mean, though biased low, represents variability equally well (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). In contrast, at OSNAP East, reanalyses generally exhibit weaker MHT variability than the observation, in particular they miss the pronounced 2015 maximum, the subsequent multi-year decline to the 2019 minimum, and the 2019–2020 increase. Consistent with this muted variability, correlations with observed MHT are low for the 0.25° reanalyses, whereas the higher-resolution GLORYS12V1 exhibits a comparatively stronger correlation (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), suggesting that increased spatial resolution may enhance the representation of heat transport variability.</p>
      <p id="d2e1626">The lower panel (Fig. <xref ref-type="fig" rid="F6"/>c) presents indirect estimates of heat transport using the GSR choke-point (blue lines) and the Fram <inline-formula><mml:math id="M56" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BSO choke-point (green lines), as described in Sect. 2.3. Thin lines show all possible combinations using the datasets listed in Table <xref ref-type="table" rid="T2"/>. Uncertainties are estimated by combining the spread (measured as standard deviation) across the datasets involved, the observational uncertainties associated with the GSR, and the spread across the 1000 Fram <inline-formula><mml:math id="M57" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BSO realizations. Corresponding mean values are given in Table <xref ref-type="table" rid="T3"/>. They are biased low relative to observations, with larger uncertainties for the Fram <inline-formula><mml:math id="M58" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BSO estimate. These uncertainties are dominated by the wider integration area, which leads to larger uncertainties in Fs and OHCT (std <inline-formula><mml:math id="M59" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 51 TW), whereas the contribution from the synthetic Fram+BSO ensemble is smaller (std <inline-formula><mml:math id="M60" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 21 TW). While these indirect estimates show better agreement with OSNAP observations in the latter half of the record, capturing the 2019 minimum and the subsequent increase, they, like the direct transports from the reanalyses, do not reproduce the pronounced 2015 heat-transport peak and, overall, correlate only weakly with OSNAP over the full period (see Table <xref ref-type="table" rid="T2"/>). This holds true across all combinations of datasets and both choke-point approaches, despite the use of multiple, independent data sources contributing to the indirect heat transport estimates (see Table <xref ref-type="table" rid="T2"/>). This discrepancy will be discussed in more detail in Sect. 3.3.</p>
      <p id="d2e1675">Volume transport time series are shown in Fig. <xref ref-type="fig" rid="FA3"/>. OSNAP-derived net volume transport (computed from the gridded sections) across OSNAP East has a mean comparable to the reanalyses but shows substantially reduced variability. This is expected because OSNAP’s velocity reconstruction combines time-varying geostrophic shear with a constrained barotropic component (transport closure/compensation), which dampens section integrated volume-transport variability. In contrast, ocean reanalyses permit time-varying transports in response to atmospheric forcing and freshwater fluxes, leading to larger variability in net volume transport across the open OSNAP section. While the realism of this variability cannot be independently assessed here, its magnitude remains small compared to what would be required to explain the pronounced heat-transport anomaly in 2015. A conservative upper-bound estimate shows that the associated reference-temperature-dependent contribution to heat transport at OSNAP East is of order 1–2 TW on average, which is negligible compared to the mean transport (400 TW), indicating that differences in the thermal structure and distribution of the flow play a dominant role in the 2015 anomaly.</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e1683">Time series of heat transports from the OSNAP product, the individual reanalyses and the mean of the four 0.25° reanalyses (GREP) at <bold>(a)</bold> OSNAP West and <bold>(b)</bold> OSNAP East, as well as <bold>(c)</bold> heat transports at OSNAP East estimated via the indirect approach using the GSR and Fram+BSO choke points. All time series are smoothed using a 12-month running mean. Shading for GREP and the indirect estimates represents <inline-formula><mml:math id="M61" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 standard deviation across the individual products. </p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f06.png"/>

        </fig>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e1711">Mean heat transports (August 2014–June 2020) at OSNAP East, West, and for the full OSNAP section. Shown are values from the observational product, each reanalysis individually, the mean of the four 0.25<sup>∘</sup> reanalyses (GREP), and the indirect estimates. Uncertainties for individual reanalyses are based on the standard deviation of annual mean values. For GREP and the indirect estimates, uncertainties reflect the spread across the contributing products (calculated as standard deviation).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <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="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Names</oasis:entry>
         <oasis:entry colname="col2">OSNAP</oasis:entry>
         <oasis:entry colname="col3">ORAS5</oasis:entry>
         <oasis:entry colname="col4">CGLORS</oasis:entry>
         <oasis:entry colname="col5">FOAMv2</oasis:entry>
         <oasis:entry colname="col6">GLORYS2V4</oasis:entry>
         <oasis:entry colname="col7">GLORYS12V1</oasis:entry>
         <oasis:entry colname="col8">GREP</oasis:entry>
         <oasis:entry colname="col9">indi.<sub>GSR</sub></oasis:entry>
         <oasis:entry colname="col10">indi.<sub><italic>F</italic>+<italic>B</italic></sub></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">East</oasis:entry>
         <oasis:entry colname="col2">417 <inline-formula><mml:math id="M65" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 27</oasis:entry>
         <oasis:entry colname="col3">369 <inline-formula><mml:math id="M66" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15</oasis:entry>
         <oasis:entry colname="col4">398 <inline-formula><mml:math id="M67" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7</oasis:entry>
         <oasis:entry colname="col5">402 <inline-formula><mml:math id="M68" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7</oasis:entry>
         <oasis:entry colname="col6">412 <inline-formula><mml:math id="M69" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6</oasis:entry>
         <oasis:entry colname="col7">402 <inline-formula><mml:math id="M70" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12</oasis:entry>
         <oasis:entry colname="col8">395 <inline-formula><mml:math id="M71" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18</oasis:entry>
         <oasis:entry colname="col9">370 <inline-formula><mml:math id="M72" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 24</oasis:entry>
         <oasis:entry colname="col10">374 <inline-formula><mml:math id="M73" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>  52</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">West</oasis:entry>
         <oasis:entry colname="col2">85 <inline-formula><mml:math id="M74" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6</oasis:entry>
         <oasis:entry colname="col3">101 <inline-formula><mml:math id="M75" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21</oasis:entry>
         <oasis:entry colname="col4">57 <inline-formula><mml:math id="M76" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7</oasis:entry>
         <oasis:entry colname="col5">49 <inline-formula><mml:math id="M77" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11</oasis:entry>
         <oasis:entry colname="col6">52 <inline-formula><mml:math id="M78" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13</oasis:entry>
         <oasis:entry colname="col7">92 <inline-formula><mml:math id="M79" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12</oasis:entry>
         <oasis:entry colname="col8">65 <inline-formula><mml:math id="M80" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 26</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total</oasis:entry>
         <oasis:entry colname="col2">503 <inline-formula><mml:math id="M81" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 28</oasis:entry>
         <oasis:entry colname="col3">470 <inline-formula><mml:math id="M82" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12</oasis:entry>
         <oasis:entry colname="col4">455 <inline-formula><mml:math id="M83" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10</oasis:entry>
         <oasis:entry colname="col5">451 <inline-formula><mml:math id="M84" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13</oasis:entry>
         <oasis:entry colname="col6">464 <inline-formula><mml:math id="M85" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15</oasis:entry>
         <oasis:entry colname="col7">494 <inline-formula><mml:math id="M86" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12</oasis:entry>
         <oasis:entry colname="col8">460 <inline-formula><mml:math id="M87" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 28</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e2077">Correlation coefficients of heat transport at OSNAP East and OSNAP West for the period August 2014–June 2020, comparing observations with ocean reanalyses and (for OSNAP East) indirect estimates.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <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="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Names</oasis:entry>
         <oasis:entry colname="col2">ORAS5</oasis:entry>
         <oasis:entry colname="col3">CGLORS</oasis:entry>
         <oasis:entry colname="col4">FOAMv2</oasis:entry>
         <oasis:entry colname="col5">GLORYS2V4</oasis:entry>
         <oasis:entry colname="col6">GLORYS12V1</oasis:entry>
         <oasis:entry colname="col7">GREP</oasis:entry>
         <oasis:entry colname="col8">indi.<sub>GSR</sub></oasis:entry>
         <oasis:entry colname="col9">indi.<sub><italic>F</italic>+<italic>B</italic></sub></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">OSNAP East</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>
         <oasis:entry colname="col3">0.02</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M91" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>
         <oasis:entry colname="col5">0.04</oasis:entry>
         <oasis:entry colname="col6">0.37</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>
         <oasis:entry colname="col8">0.14</oasis:entry>
         <oasis:entry colname="col9">0.27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OSNAP West</oasis:entry>
         <oasis:entry colname="col2">0.12</oasis:entry>
         <oasis:entry colname="col3">0.71</oasis:entry>
         <oasis:entry colname="col4">0.52</oasis:entry>
         <oasis:entry colname="col5">0.86</oasis:entry>
         <oasis:entry colname="col6">0.79</oasis:entry>
         <oasis:entry colname="col7">0.79</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2243">Figure <xref ref-type="fig" rid="F7"/>a, b shows  heat transports along the OSNAP West and East sections, (panels c, d) the accumulated transports along the sections and (panels e, f) the corresponding variability (standard deviation) along the sections. Figure <xref ref-type="fig" rid="FA4"/> shows the same for volume transports. Heat transport estimates reproduce the biases found in the velocity and temperature cross-sections (Figs. <xref ref-type="fig" rid="F4"/> and <xref ref-type="fig" rid="F2"/>): The reanalyses generally agree quite well with observations in terms of the major inflow and outflow branches. However, some discrepancies remain in transport amplitudes and exact positions. At OSNAP West (Fig. <xref ref-type="fig" rid="F7"/>a, c, e), all reanalyses except ORAS5, overestimate the heat outflow via the LC. A return current slightly east of the LC partially offsets these biases. However, the eastern inflow branch of OSNAP West, associated with the WGC tends to be slightly too weak in all quarter-degree reanalyses, leading to the negative bias in net heat transport at OSNAP West in CGLORS, GLORYS2V4, and FOAMv2. While GLORYS12V1 also overestimates LC heat transport, this is counterbalanced by stronger heat inflows in the interior of the Labrador Basin. Additionally, heat transport via the WGC, although narrower and stronger than observed, remains in good agreement with observations, resulting in net heat transport estimates close to observed values. In contrast, ORAS5 produces LC heat transports that align well with observations, but stronger heat inflows in the Labrador Basin, combined with slightly underestimated WGC heat transports, lead to a net positive heat transport bias at OSNAP West. At OSNAP East (Fig. <xref ref-type="fig" rid="F7"/>b, d, f), heat transports associated with the EGC are slightly displaced in all 0.25° reanalyses and overestimated in GLORYS12V1. Transports in the interior of the Irminger Basin, as well as at the IC and ERRC, are weaker than suggested by the OSNAP observations. In the interior of the Iceland Basin, the reanalyses exhibit high variability and a strong heat inflow and outflow associated with a northward branch of the NAC and a southward recirculation to the east, respectively. This northward-southward circulation feature is not resolved by the OSNAP observations due to OSNAP's array design that relies on end-point dynamic height moorings to capture the total integrated transport and its variability in the Iceland basin. However, because the opposing branches largely compensate each other, the net accumulated heat transport over this segment (from about 2500  to 2750 km) is consistent between the reanalyses and the OSNAP observations (Fig. <xref ref-type="fig" rid="F7"/>d). While all reanalyses show positive net heat transport biases when accumulating to the west of Rockall Trough, they tend to underestimate heat transport in the interior of Rockall Trough compared to OSNAP estimates. This results in a generally lower net heat transport for the entire OSNAP East section. More broadly, the reanalyses exhibit high variability (Fig. <xref ref-type="fig" rid="F7"/>c) in regions that lack direct mooring observations in OSNAP, underscoring potential uncertainties in the OSNAP transport estimates in these areas.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2266">Mean heat transport across the OSNAP West and East sections for the period August 2014 to June 2020. <bold>(a, b)</bold> local heat transport at each point along the section in <inline-formula><mml:math id="M93" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula> per d<inline-formula><mml:math id="M94" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> with d<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula>°, <bold>(c, d)</bold> cumulative heat transport along the section, <bold>(e, f)</bold> temporal standard deviation of the local heat transport.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Case study: 2015 Heat Transport Anomaly</title>
      <p id="d2e2319">While differences between observations and reanalyses at OSNAP East persist throughout the OSNAP period (Sect. 3.2), the most striking mismatch occurs during 2015, when OSNAP shows a pronounced heat transport peak that is absent from all reanalyses and indirect transport estimates. We use this event as a case study to characterize and localize the differences between OSNAP and the reanalyses.</p>
      <p id="d2e2322">Differences in OHT variabilities between observations and reanalyses concerning the 2015 peak can be traced back primarily to the eastern OSNAP glider region (indicated by the green line in Fig. <xref ref-type="fig" rid="F1"/>). This region, located in the eastern Iceland Basin and around Hatton Bank, is highly dynamic and influenced by a northward-flowing branch of the NAC. Figure <xref ref-type="fig" rid="F8"/>a shows heat transport anomalies for the glider region alone, where OSNAP observations display a distinct 2015 peak, with transports approximately 50 to 130 TW higher than the reanalyses, accounting for much of the offset in the full-section transports (Fig. <xref ref-type="fig" rid="F6"/>b). This peak is also evident in volume transport (Fig. <xref ref-type="fig" rid="F8"/>b), indicating a link to flow strength or structure rather than temperature alone.  In fact, vertical profiles of temperature anomalies (Fig. <xref ref-type="fig" rid="F9"/>) show broad agreement across data sets: both indicate colder than usual conditions in the eastern glider box (blue) and cooler surface waters with warmer intermediate layers in the western box. However, anomalies tend to be stronger in the reanalyses than in OSNAP. Anomalies of currents (Fig. <xref ref-type="fig" rid="F9"/>b) reveal a strong but narrow positive anomaly in OSNAP just west of Hatton bank (at <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">2.85</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> m) during 2015, suggesting an intensification of the NAC that is not captured to this extent by any of the reanalyses. The combination of this intensified northward flow and slightly warmer temperatures relative to the reanalyses likely explains the anomalously high heat transport observed in OSNAP. As a separate example of mesoscale variability (unrelated to the 2015 heat transport peak), a strong anticyclonic eddy is also present in the western glider region, clearly visible in GLORYS12V1 and, to a lesser extent, in GLORYS2V4. This feature was also sampled by the OSNAP western glider array, as reported by <xref ref-type="bibr" rid="bib1.bibx37" id="text.73"/>, highlighting the glider system’s capability to capture mesoscale variability. However, no such signal is evident in the velocity field of the publicly available OSNAP dataset used in this study, which is primarily determined using mooring observations that do not resolve the small-scale spatial structures such as eddies between moorings. While this eddy is unrelated to the 2015 heat transport peak, it further illustrates the variability in this region and the importance of consistent observational coverage.</p>

      <fig id="F8"><label>Figure 8</label><caption><p id="d2e2368">Heat (top) and volume (bottom) transports integrated over the eastern glider region, smoothed using a 12-month running mean. The definition of the glider region can be seen in Figs. <xref ref-type="fig" rid="F1"/> and  <xref ref-type="fig" rid="F9"/>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f08.png"/>

        </fig>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e2384">Temperature (top) and velocity (bottom) anomalies for the 2015 period for OSNAP (left) the mean of all four quarter degree reanalyses (middle) and GLORYS12V1 (right). The eastern and western glider region are indicated by the blue box.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f09.png"/>

        </fig>

      <p id="d2e2393">To provide geostrophic context for the 2015 anomaly in the glider region, we next examine along-section sea-level anomalies (SLA) and their gradients. We note a key methodological difference: OSNAP derives time-varying geostrophic shear from <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> and applies a spatially uniform, but time-varying barotropic compensation to obtain absolute velocities, whereas the reanalyses assimilate SLA and thus include time-varying surface geostrophic flow tied to SLA. Accordingly, the SLA–transport comparison below is intended as a diagnostic of reanalysis consistency and as context for OSNAP. In this framework, tight pointwise correlations between SLA gradients and OSNAP transport are not expected. Nevertheless, because along-section SLA gradients set the surface geostrophic shear, we’d expect a coherent relationship after spatial averaging over broader segments (e.g., the glider regions).</p>
      <p id="d2e2408">Figure <xref ref-type="fig" rid="F10"/> presents Hovmöller diagrams of SLA (left), its along-section gradient (middle), and top-to-bottom vertically integrated volume transport (right), based on observations (top row), GLORYS12V1 (middle), and GLORYS2V4 (bottom). SLA in the reanalyses is computed relative to the same 1993–2012 reference period as the observational product. Overall, SLA and its gradients show similar spatial and temporal patterns between the observations and the reanalyses, consistent with the fact that both GLORYS products assimilate SLA data even at these northern latitudes. Fine-scale details are more apparent in the higher-resolution observations and GLORYS12V1 than in the coarser GLORYS2V4.</p>
      <p id="d2e2413">However, the vertically integrated volume transport fields reveal more pronounced differences. In OSNAP, the strong 2015/16 transport maximum is not accompanied by an equally strong along-section SLA gradient in the eastern glider region, and outside this event the OSNAP transports remain relatively smooth and weak, even during periods of enhanced SLA gradients. This is consistent with OSNAP’s use of a time-mean reference velocity with barotropic compensation, i.e., SLA does not directly set the absolute velocity along the line. The GLORYS reanalyses, which assimilate SLA, exhibit spatially coherent transport anomalies, including pronounced signals in the western glider box, that align more closely with their SLA-gradient fields.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e2418">Left: Sea Level anomalies along the OSNAP East section referenced to the 1993–2012 period from satellite observations, GLORYS12V1 and GLORYS2V4, Middle: the respective Sea Level anomaly gradients, right: vertically integrated volume transports for OSNAP, GLORYS12V1 and GLORYS2V4. Blue lines indicate the glider areas.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f10.png"/>

        </fig>

      <p id="d2e2428">Correlations between SLA gradients and volume transport across the glider region are shown in Fig. <xref ref-type="fig" rid="F11"/>. Solid lines represent correlations between each reanalysis and its own SLA gradient field, while dashed lines represent correlations to the observational SLA gradient. As expected given OSNAP’s time-mean reference velocity, OSNAP shows weak pointwise correlations with observed SLA gradients (mean <inline-formula><mml:math id="M99" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.08 along the section). In contrast, GLORYS12V1 and GLORYS2V4 exhibit higher correlations with observed SLA gradients (0.40 and 0.39, respectively) and even larger values when compared to their own SLA fields (0.79 and 0.51). Both products assimilate the same multi-mission satellite altimetry-derived SLA observations but differ in horizontal resolution and assimilation methodology (see Table 1). Notably, the higher-resolution GLORYS12V1 shows the strongest correlations overall, consistent with its improved spatial representation of circulation features. Correlations are weaker for the ORAS5 reanalysis (not shown), with a correlation of just 0.25 against observed SLA gradients, likely a result of it not assimilating sea level anomalies north of 50° N. To reduce small-scale noise and facilitate visualization, the along-section correlation curves shown in Fig. <xref ref-type="fig" rid="F11"/> are smoothed to 1° resolution. This smoothing is applied only for plotting purposes and does not affect the calculation of the correlations themselves, which are performed on the native-resolution fields along the OSNAP section. This allows us to focus on mesoscale dynamics while suppressing small-scale variability and potential sampling mismatches. Despite this visual smoothing, pointwise correlations across the section remain relatively low for the OSNAP dataset. However, when SLA gradients and volume transport are averaged over the two full glider regions before computing the correlation, substantially higher values are found for OSNAP (0.55 for the western, 0.47 for the eastern glider region) and GLORYS12V1 (0.72 for the western, 0.89 for the eastern), while the correlation for GLORYS2V4 decreases slightly (0.32 for the western, 0.37 for the eastern). These reanalysis-based values refer to correlations with their respective SLA gradient fields. Overall, these results suggest that, while local correlations are sensitive to methodology, sampling, and the limited ability of observations and reanalyses to resolve small-scale processes, the large-scale geostrophic relationship emerges clearly after spatial averaging over the glider regions in both the observations and the high-resolution reanalyses.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e2444">Along section temporal correlations between the SLA gradient and full-depth integrated volume transports for the glider region, smoothed to 1° resolution. Solid lines show correlations between each reanalysis and its own SLA gradient, dashed lines show correlations to the observational SLA gradient. Values in the legend describe correlations averaged over the whole glider region.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f11.png"/>

        </fig>

      <p id="d2e2453">Correlations computed using full geostrophic velocity fields, calculated from reanalysis temperature and salinity profiles via pressure gradients and referenced to surface altimetry show nearly identical patterns (not shown), confirming that SLA gradients dominate the transport signal.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>AMOC</title>
      <p id="d2e2464">To complement the heat transport analysis, we also assess the Meridional Overturning Circulation (AMOC) in density space at OSNAP East (Fig. <xref ref-type="fig" rid="F12"/>). The reanalyses reproduce the mean overturning streamfunction reasonably well, consistent with earlier findings by <xref ref-type="bibr" rid="bib1.bibx2" id="text.74"/>, with a maximum around 27.5–27.6 kg m<sup>−3</sup> and peak strengths of about 16 Sv, slightly higher in the reanalyses, particularly in ORAS5. In terms of variability, OSNAP observations show a clear peak in 2015, which coincides with the observed heat transport variability (see Fig. <xref ref-type="fig" rid="F6"/>). Interestingly, the reanalyses also display a peak in overturning strength, though shifted slightly later, to early 2016. However, and as discussed in Sect. 3.2, this overturning peak does not coincide with a heat transport peak in the reanalyses. Looking at transports of the in- and outflow branches of the overturning, we find that in GLORYS12V1 both inflow and outflow heat transports are stronger than in OSNAP, but the outflow has a greater net effect than in OSNAP. This suppresses the overall heat transport peak despite intensified overturning. The mismatch may result from temperature biases, such as colder inflow or warmer outflow, and suggests that the overturning in the reanalyses may involve different water mass properties or pathways than observed.</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e2488"><bold>(a)</bold> Meridional Overturning Circulation (MOC) streamfunction in density space, averaged over the period August 2014 to June 2020. <bold>(b)</bold> Time series of the MOC at the <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> level of maximum overturning, smoothed using a 12-month running mean.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f12.png"/>

        </fig>

      <p id="d2e2513">To diagnose why the reanalysis MOC peak does not translate into a total OHT peak, we decompose MHT into overturning and gyre components (Fig. <xref ref-type="fig" rid="F13"/>), as done e.g. by <xref ref-type="bibr" rid="bib1.bibx36" id="text.75"/>. In the OSNAP observations, the 2015 maximum is overturning-driven and followed by a multi-year decline. The 2019 minimum is likewise set by the overturning term and the consecutive increase is reinforced by a strong gyre contribution. In the reanalyses, the overturning term is biased high in the mean but its 2015 anomaly is weaker and lacks the subsequent decline, while the gyre term is systematically lower than in OSNAP (even negative in ORAS5). The 2019 minimum in the overturning term is weaker in the reanalyses and a contrasting maximum in the gyre term flattens the 2019 minimum in the net transports (see Fig. <xref ref-type="fig" rid="F6"/>). Therefore, the good correspondence in MOC yet poor correspondence in total OHT might be due to the temperature contrast associated with the overturning being too low or shifted in the reanalyses and additionally the gyre term dampening the total OHT anomalies.</p>

      <fig id="F13" specific-use="star"><label>Figure 13</label><caption><p id="d2e2526">Meridional heat transport decomposition in density space at OSNAP-East for the August 2014 to June 2020 period, smoothed with a 12-month running mean: <bold>(a)</bold> overturning component; <bold>(b)</bold> gyre component.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f13.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e2550">This study evaluates the ability of global ocean reanalyses to capture oceanic heat transport across the OSNAP section by comparing reanalysis-derived estimates with observational estimates of heat transport, velocity, and temperature cross-sections. While ocean reanalyses generally reproduce the broad structure of the AMOC and its associated heat transport, systematic biases persist in both the thermal and dynamic properties of the ocean circulation.</p>
      <p id="d2e2553">Reanalyses successfully capture the major inflow and outflow branches at OSNAP, but discrepancies remain in transport amplitudes and current positioning. At OSNAP West, most reanalyses overestimate the heat transport via the LC, while underestimating the inflow associated with the WGC, leading to a net negative heat transport bias. The higher-resolution GLORYS12V1 better represents heat transport through the WGC and interior Labrador Basin, resulting in values closer to observations. Conversely, ORAS5, while producing more realistic LC transports, shows an overall positive heat transport bias due to excessive heat inflow within the Labrador Basin.</p>
      <p id="d2e2556">At OSNAP East, reanalyses show eastward displacements of the EGC and weaker transports in the Irminger Basin, Iceland Basin, and at the ERRC. A significant heat transport inflow and outflow associated with NAC branches is present in the Iceland Basin (Fig. <xref ref-type="fig" rid="F7"/>b), which is not captured by the OSNAP observations due to sparse mooring coverage in this region. This discrepancy highlights the impact of observational gaps on our understanding of the spatial structure of meridional heat transport. However, we note that the integrated transports over this area are generally consistent between observations and reanalyses (Fig. <xref ref-type="fig" rid="F7"/>d).</p>
      <p id="d2e2563">The temporal variability of heat transport is generally well represented at OSNAP West, with high correlations between reanalyses and OSNAP observations. However, at OSNAP East reanalyses disagree with the observed variability throughout the period, showing muted amplitudes and missing the 2015 maximum and the 2019 minimum. Decomposing MHT into overturning and gyre contributions shows that in the observations variability is overturning dominated, whereas in the reanalyses the overturning term is biased high in the mean but the 2015/19 anomalies are weaker, and additionally flattened by the gyre term. A possible reason why AMOC agreement in 2015 does not translate into OHT agreement is that the temperature contrast within the overturning limb is reduced or shifted to other regions in the reanalyses. While the event may be genuine and missed by the reanalyses, its absence from independent budget-based estimates and the lack of a clear sea-level signature argue for caution. This highlights both the value of gliders in resolving fine-scale circulation and the need for sustained, multi-platform observational strategies and cross-validation with models and indirect methods to robustly assess heat transport variability in dynamically active regions. We cannot exclude that changes in observational coverage, including the use of gliders early in the OSNAP record, may contribute to the observed amplitude of the 2015 heat transport peak. Future sensitivity studies assessing OSNAP transport estimates with and without specific observing components, such as gliders, could help further quantify the impact of observational heterogeneity.</p>
      <p id="d2e2567">These findings emphasize both the value and limitations of ocean reanalyses in representing heat transport. While they provide a useful tool for temporally and spatially extending heat transport estimates beyond direct observations, persistent biases highlight the need for continued improvements in data assimilation techniques, model resolution, and observational coverage. In particular, the lack of direct measurements in dynamically complex regions such as the Iceland Basin and Rockall Trough, the deep ocean and basin interiors complicates the assessment of uncertainties in both reanalyses and OSNAP observations.</p>
      <p id="d2e2570">While well-maintained mooring lines provide the gold standard for MHT variability estimation, systematic discrepancies between OSNAP and reanalyses may be used to find regions of increased uncertainty arising from limitations in both observing systems and models. There are many examples in atmospheric sciences where reanalyses could be used to find and even estimate biases in global observing systems <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx23" id="paren.76"/>. In this sense, our results suggest that present ocean reanalyses can serve as a valuable complementary tool for diagnosing uncertainty. At the same time, in regions where low-frequency variability dominates and where reanalyses demonstrate robust skill, reanalysis products may offer complementary means to extend or support observational estimates <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx17" id="paren.77"><named-content content-type="pre">see e.g.,</named-content></xref>. Such approaches are currently being explored within the RAPID program as part of efforts to develop more sustainable and cost-effective long-term observing strategies <xref ref-type="bibr" rid="bib1.bibx58" id="paren.78"/>.  Nevertheless, addressing data scarcity, particularly in the deep ocean and overflow regions, is essential not only for improving the accuracy of reanalyses and reducing uncertainties in reconstructed oceanic heat transport but also for strengthening direct observational OSNAP heat transport estimates. Expanding sustained and spatially comprehensive ocean observations will provide critical constraints for both data assimilation and observational estimates, reducing biases and uncertainties in AMOC variability assessments. In this regard, coordinated international efforts such as the Marine Environment Reanalyses Evaluation Project <xref ref-type="bibr" rid="bib1.bibx75" id="paren.79"><named-content content-type="pre">MER-EP;</named-content></xref> are essential for advancing the systematic evaluation of ocean reanalyses and for ensuring their suitability as reliable tools for climate research. </p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Additional figures</title>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e2606">Temperature differences between OSNAP observations and the EN4 objective analysis (left) as well as the GREP reanalyse mean and EN4 (right), averaged over the period August 2014 to June 2020. Positive values indicate regions where OSNAP/GREP is warmer than EN4.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f14.png"/>

      </fig>

      <fig id="FA2"><label>Figure A2</label><caption><p id="d2e2619">Time series of MHT at OSNAP East derived from monthly and from daily GLORYS12V1 data, smoothed using a 12-month running mean.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f15.png"/>

      </fig>

      <fig id="FA3"><label>Figure A3</label><caption><p id="d2e2633">Net volume transport across OSNAP East and OSNAP West for each reanalysis and for OSNAP (computed from the gridded sections).</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f16.png"/>

      </fig>

<fig id="FA4"><label>Figure A4</label><caption><p id="d2e2647">Mean volume transport across the OSNAP West and East sections for the period August 2014 to June 2020. <bold>(a, b)</bold> local volume transport at each point along the section in m<sup>3</sup> s<sup>−1</sup> per <inline-formula><mml:math id="M104" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>x with d<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula>°, <bold>(c, d)</bold> cumulative volume transport along the section, <bold>(e, f)</bold> temporal standard deviation of the local volume transport.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/629/2026/os-22-629-2026-f17.png"/>

      </fig>

</app>
  </app-group><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e2712">Codes for calculating the figures can be made available on request.</p>

      <p id="d2e2715">The StraitFlux Python package is openly available via <uri>https://pypi.org/project/StraitFlux/</uri> (last access: 15 July 2025) and GitHub (<uri>https://github.com/susannawinkelbauer/StraitFlux/tree/main</uri>, last access:  15 July 2025). The version used in this study is archived on Zenodo and can be accessed via <ext-link xlink:href="https://doi.org/10.5281/zenodo.14620858" ext-link-type="DOI">10.5281/zenodo.14620858</ext-link> (<xref ref-type="bibr" rid="bib1.bibx77" id="altparen.80"/>).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e2733">The OSNAP data sets can be accessed online (<ext-link xlink:href="https://doi.org/10.35090/gatech/70342" ext-link-type="DOI">10.35090/gatech/70342</ext-link>, <xref ref-type="bibr" rid="bib1.bibx18" id="altparen.81"/>). The employed ocean reanalysis data can be obtained from the Copernicus Marine Data Store (<ext-link xlink:href="https://doi.org/10.48670/moi-00024" ext-link-type="DOI">10.48670/moi-00024</ext-link>, <xref ref-type="bibr" rid="bib1.bibx11" id="altparen.82"/>) as well as the used sea level data (<ext-link xlink:href="https://doi.org/10.48670/moi-00148" ext-link-type="DOI">10.48670/moi-00148</ext-link>, <xref ref-type="bibr" rid="bib1.bibx14" id="altparen.83"/>). ERA5 mass-consistent atmospheric energy budget data can be accessed via the Copernicus Climate Data Store (<ext-link xlink:href="https://doi.org/10.24381/cds.c2451f6b" ext-link-type="DOI">10.24381/cds.c2451f6b</ext-link>, <xref ref-type="bibr" rid="bib1.bibx43" id="altparen.84"/>). CERES Energy Balanced and Filled (EBAF) TOA and Surface data is available online (<ext-link xlink:href="https://doi.org/10.5067/TERRA-AQUANOAA20/CERES/EBAF_L3B004.2.1" ext-link-type="DOI">10.5067/TERRA-AQUANOAA20/CERES/EBAF_L3B004.2.1</ext-link>, <xref ref-type="bibr" rid="bib1.bibx56" id="altparen.85"/>). MERRA-2 reanalysis data were obtained from the NASA Goddard Earth Sciences Data and Information Services Center (GES DISC, <ext-link xlink:href="https://doi.org/10.5067/0JRLVL8YV2Y4" ext-link-type="DOI">10.5067/0JRLVL8YV2Y4</ext-link>, <xref ref-type="bibr" rid="bib1.bibx21" id="altparen.86"/>). JRA55 reanalysis data were obtained via the NCAR Research Data Archive (<ext-link xlink:href="https://doi.org/10.5065/D60G3H5B" ext-link-type="DOI">10.5065/D60G3H5B</ext-link>, <xref ref-type="bibr" rid="bib1.bibx30" id="altparen.87"/>). IAPv4 global ocean heat content data are available via <ext-link xlink:href="https://doi.org/10.12157/IOCAS.20240117.001" ext-link-type="DOI">10.12157/IOCAS.20240117.001</ext-link> (<xref ref-type="bibr" rid="bib1.bibx8" id="altparen.88"/>). RFROM v2.2 ocean heat content data were obtained via the NOAA Pacific Marine Environmental Laboratory server (<uri>https://data.pmel.noaa.gov/pmel/erddap/files/argo_rfromv22/</uri>, last access: 1 August 2025, <xref ref-type="bibr" rid="bib1.bibx40" id="altparen.89"/>). Arctic heat transport data can be accessed via Pangea (<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.909966" ext-link-type="DOI">10.1594/PANGAEA.909966</ext-link>, <xref ref-type="bibr" rid="bib1.bibx72" id="altparen.90"/>). Input data to reproduce the plots of this manuscript can be provided on request.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2805">SW, MM and LH conceptualized the study. SW and IW performed the data analysis, including the production of the figures. SW prepared the manuscript. MM, LH and YF contributed to the interpretation of results and the writing of the manuscript. All authors have read and agreed to the publication of the present version of the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2811">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="d2e2817">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="d2e2823">Open access funding provided by University of Vienna. We would like to thank Yuying Pan for the helpful discussion concerning the indirect heat transport calculations. ChatGPT (OpenAI) and DeepL were used to improve grammar and phrasing.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2828">This research has been supported by the Copernicus Marine Environment Monitoring Service (grant nos. 21003-COP-GLORAN Lot 7 and 24254L03-COP-GLORAN MER-EP 4000) and the European Space Agency (grant nos. 4000145298/24/I-LR (MOTECUSOMA) and 4000147586/I/25-LR (CCI Ocean Surface Heat Fluxes).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2834">This paper was edited by Meric Srokosz and reviewed by two anonymous referees.</p>
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