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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-22-305-2026</article-id><title-group><article-title>Intrahalocline eddies in the Amundsen Basin observed in  the distributed network from the MOSAiC expedition</article-title><alt-title>Intrahalocline eddies in the Amundsen Basin observed in the distributed network</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Quintanilla-Zurita</surname><given-names>Alejandra</given-names></name>
          <email>alejandraquintanillaz@gmail.com</email>
        <ext-link>https://orcid.org/0000-0002-4979-8477</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rabe</surname><given-names>Benjamin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5794-9856</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wekerle</surname><given-names>Claudia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Kanzow</surname><given-names>Torsten</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5786-3435</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kuznetsov</surname><given-names>Ivan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5910-8081</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Torres-Valdes</surname><given-names>Sinhue</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2749-4170</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Pallàs-Sanz</surname><given-names>Enric</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Fang</surname><given-names>Ying-Chih</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Alfred-Wegener-Institut Helmholtz-Zentrum für Polar- und Meeresforschung, Bremerhaven, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Faculty of Physics, University of Bremen, Bremen, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Centro de Investigación Científica y de Educación Superior de Ensenada, Baja California, Mexico</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Oceanography, College of Marine Sciences, National Sun Yat-sen University, Kaohsiung, Taiwan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Alejandra Quintanilla-Zurita (alejandraquintanillaz@gmail.com)</corresp></author-notes><pub-date><day>29</day><month>January</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>1</issue>
      <fpage>305</fpage><lpage>328</lpage>
      <history>
        <date date-type="received"><day>3</day><month>August</month><year>2025</year></date>
           <date date-type="rev-request"><day>13</day><month>August</month><year>2025</year></date>
           <date date-type="accepted"><day>10</day><month>December</month><year>2025</year></date>
           <date date-type="rev-recd"><day>8</day><month>December</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Alejandra Quintanilla-Zurita 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/os-22-305-2026.html">This article is available from https://os.copernicus.org/articles/os-22-305-2026.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/os-22-305-2026.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/os-22-305-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e166">Hydrographic and velocity observations from the Multidisciplinary Drifting Observatory for the Study of Arctic Climate (MOSAiC) expedition (2019–2020) reveal the presence of nine intrahalocline eddies (IHEs) in the Amundsen Basin during the winter drift of the Distributed Network (DN). Despite their relevance for Arctic stratification and mixing, IHEs in the Amundsen Basin remain poorly documented. Our study addresses this gap by providing the first detailed characterisation based on coordinated in situ hydrographic and velocity observations during wintertime. Eddies were identified as isopycnal displacements in Ice-Tethered Profiler (ITP) data. Additionally, by assessing rotational velocity signatures from Acoustic Doppler Current Profiler (ADCP) measurements, we applied a centre-detection method based on maximum swirl velocity (MSV). Nine anticyclonic eddies were observed, with radii ranging from 3.7 to 8.4 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and vertical extents between 23 and 80 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.  Most eddies exhibited solid-body rotation in their cores, with maximum azimuthal velocities of up to 0.28 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and localised shallowing of the mixed layer by over 10 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Water mass analysis showed that the eddy cores contained Eurasian halocline waters with consistent anomalies in temperature, salinity, and density relative to surrounding profiles, allowing us to infer pre-existing stratification conditions and offering clues to their origin. The observed eddy scales lie close to or slightly below the first baroclinic Rossby deformation radius of approximately 6.9 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, placing them in the (sub)mesoscale dynamical regime and suggesting a transitional balance where both geostrophic and cyclogeostrophic effects may be relevant. The MSV method yields systematically larger eddy radius estimates up to 25 % greater than traditional detection techniques that rely on velocity profiles or isopycnal displacements alone. This correction to the radius is essential, as it provides a more realistic measure of eddy size and dynamics under ice-covered conditions and could improve comparability across under-ice eddy studies. Although specific generation mechanisms remain uncertain, thermohaline signatures suggest that shallow local convection and baroclinic instability play a role in their formation. Our results provide new insights into the dynamics of under-ice eddies and their potential impact on Arctic oceanography and climate processes, addressing essential gaps in understanding polar mesoscale dynamics.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Alfred-Wegener-Institut, Helmholtz-Zentrum für Polar- und Meeresforschung</funding-source>
<award-id>AWI_PS122_00</award-id>
<award-id>AFMOSAiC-1_00</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Bundesministerium für Bildung, Wissenschaft, Forschung und Technologie</funding-source>
<award-id>03F0889A</award-id>
</award-group>
<award-group id="gs3">
<funding-source>European Commission</funding-source>
<award-id>101003472</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Norges Forskningsråd</funding-source>
<award-id>294396</award-id>
</award-group>
<award-group id="gs5">
<funding-source>Bundesministerium für Forschung, Technologie und Raumfahrt</funding-source>
<award-id>57748842</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="d2e227">The global ocean surface is densely populated by mesoscale eddies. These can be tracked through satellite-derived sea surface height anomalies <xref ref-type="bibr" rid="bib1.bibx8" id="paren.1"/>. However, much less is known about the subsurface eddies below the mixed layer in sea ice-covered regions, particularly in the Arctic Ocean. Intrahalocline eddies (IHEs) – similar to intrathermocline eddies <xref ref-type="bibr" rid="bib1.bibx13" id="paren.2"/> – are coherent features. They range from submesoscale to mesoscale and sit within the halocline, generally just below the mixed layer <xref ref-type="bibr" rid="bib1.bibx20" id="paren.3"><named-content content-type="pre">e.g.,</named-content></xref>. Unlike their open-ocean counterparts, Arctic IHEs evolve within a strongly stratified, ice-covered environment. Their significance lies in their ability to modify upper-ocean stratification, modulate mixed-layer properties, and alter cross-basin transport pathways, thereby influencing the broader Arctic Ocean circulation. These subsurface features have also been linked to the lateral redistribution of heat, salt, freshwater, nutrients, and biogeochemical tracers, and may further modulate vertical exchange and sea-ice–ocean feedbacks <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx22 bib1.bibx56" id="paren.4"><named-content content-type="pre">e.g.,</named-content></xref>.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e248"><bold>(a)</bold> Drift track of the Central Observatory (CO) on the MOSAiC expedition from 19 October 2019 to 15 March 2020. The blue scale represents the bathymetry (<inline-formula><mml:math id="M6" display="inline"><mml:mo lspace="0mm">×</mml:mo></mml:math></inline-formula> 10<sup>3</sup> <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), based on the International Bathymetric Chart of the Arctic Ocean <xref ref-type="bibr" rid="bib1.bibx16" id="paren.5"/>. Schematic arrows indicate the major upper-ocean circulation pathways: the Warm Atlantic Water Boundary Current (pink) and the Transpolar Drift (red). Key bathymetric and geographic features are labelled, including the Lomonosov Ridge (LR), Gakkel Ridge (Gk), Fram Strait (FS), and the East Siberian Shelf (ESS). The black polygon in panel a shows the main area of study. <bold>(b)</bold> Initial spatial configuration of the L-sites relative to the CO–PS on 19 October 2019 (markers), and their subsequent relative displacements from 19 October 2019 to 15 March 2020 (colour-coded positions). The colour scale matches that of panel <bold>(a)</bold>, indicating the date along the drift trajectory. <bold>(c)</bold> Drift speed of the CO (grey line) and the mean current speed averaged over the available ADCP depth range at CO-PS (green line), L1 (blue line), and L3 (red line). The dashed grey and black lines show the mean drift and mean current speed, respectively. The timing of each detected eddy (E1–E9) is indicated at the top of the panel.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f01.png"/>

      </fig>

      <p id="d2e296">The Arctic Ocean displays some of the smallest dynamic scales globally, with the first baroclinic Rossby radius of deformation typically about 10 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx36" id="paren.6"/>. Finer-scale analyses, however, suggest the limit may be even smaller, which makes sampling mesoscale structures beneath the sea ice especially challenging. This small scale complicates the detection of IHEs, as their diameters may approach or fall below this length. To reflect this, we refer to these features as (sub)mesoscale eddies, acknowledging that their scales may span both mesoscale and submesoscale regimes – especially in the Arctic, where overlapping dynamical processes make precise scale separation difficult to define <xref ref-type="bibr" rid="bib1.bibx11" id="paren.7"/>. In this study, we focus on the Amundsen Basin, a key yet sparsely sampled region of the central Arctic Ocean where IHEs remain poorly documented. The Amundsen Basin is the deepest part of the Arctic Ocean, reaching depths of 4500 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, bounded by the Lomonosov and Gakkel ridges (Fig. <xref ref-type="fig" rid="F1"/>a). Its upper water column is strongly stratified, with a mixed layer extending to 50 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth in winter, temperatures close to the freezing point (<inline-formula><mml:math id="M12" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M13" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.8 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) and salinity below 33, underlain by a sharp halocline that separates the mixed layer from the warmer and saltier Atlantic water located at <inline-formula><mml:math id="M15" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 200 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx38" id="paren.8"/>. The Transpolar Drift, the primary surface current in the central Arctic Ocean, influences the Amundsen Basin by transporting sea ice and freshwater from the Siberian shelves to the Fram Strait, shaping the large-scale structure of the halocline <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx39" id="paren.9"/>.</p>
      <p id="d2e379">In general, eddies are characterised by a maximum vertical displacement of isopycnals at their centre, consistent with geostrophic balance, and horizontal velocities reach a minimum at the eddy centre and increase radially outward within the solid-body core <xref ref-type="bibr" rid="bib1.bibx59" id="paren.10"/>. IHEs represent a subset of these features, characterised by distinct thermohaline properties relative to ambient waters <xref ref-type="bibr" rid="bib1.bibx18" id="paren.11"/>. Anticyclonic IHEs typically exhibit domed isopycnals above and depressed isopycnals below. The opposite vertical structure is theoretically expected for cyclonic subsurface eddies: depressed isopycnals above and domed isopycnals below <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx60" id="paren.12"><named-content content-type="pre">e.g.,</named-content></xref>, although such features have not been documented as IHEs in the Amundsen Basin and were not observed in our dataset. The velocity field of these eddies exhibits a subsurface maximum of azimuthal velocity and approximate azimuthal symmetry <xref ref-type="bibr" rid="bib1.bibx49" id="paren.13"/>. These features belong to the global class of density-trapped subsurface vortices commonly termed intrathermocline eddies or subsurface lenses <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx29 bib1.bibx7 bib1.bibx12" id="paren.14"><named-content content-type="pre">e.g.,</named-content></xref>. In the Arctic Ocean, where stratification is predominantly halocline-controlled, similar features have been described as IHEs <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx14" id="paren.15"><named-content content-type="pre">e.g.,</named-content></xref>. We therefore adopt this terminology to reflect the strong and shallow halocline characteristic of the Amundsen Basin.</p>
      <p id="d2e407">Previous studies of such eddies, mainly in the Canada Basin <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx25 bib1.bibx50 bib1.bibx60" id="paren.16"><named-content content-type="pre">e.g.,</named-content></xref>, contrast with sparse evidence from the Eurasian Basin, mostly from limited mooring observations <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx58" id="paren.17"/>. <xref ref-type="bibr" rid="bib1.bibx60" id="text.18"/> identified 39 eddies containing Eurasian Basin water from a decade of Ice-Tethered Profiler (ITP) data, but most were found on the Canadian side, rarely in the Amundsen Basin, confirming that the region remains poorly sampled and characterised. Their study showed that these Arctic subsurface eddies are predominantly anticyclonic, with radii of 3.5–7 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, core depths of 54–150 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, mean azimuthal velocities of 0.05–0.22 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and Rossby numbers of 0.07–0.63. Beyond their structure, these eddies redistribute water and heat within the halocline, affecting halocline maintenance, mixed layer properties, and upper-ocean heat content in a changing Arctic, and thereby modulate vertical heat fluxes toward the sea ice, lateral exchange between boundary currents and the basin interior, and the storage and release of heat and freshwater anomalies on basin scales <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx22" id="paren.19"><named-content content-type="pre">e.g.,</named-content></xref>. Recent observations from the MOSAiC expedition <xref ref-type="bibr" rid="bib1.bibx40" id="paren.20"/> also detected eddy-like velocity anomalies in the Amundsen Basin using velocity data in the Central Observatory <xref ref-type="bibr" rid="bib1.bibx44" id="paren.21"/>, although these provided only partial information about their structure and origin.</p>
      <p id="d2e466">High-resolution modelling studies, such as those by <xref ref-type="bibr" rid="bib1.bibx32" id="text.22"/> and <xref ref-type="bibr" rid="bib1.bibx23" id="text.23"/>, using kilometre-scale simulations <xref ref-type="bibr" rid="bib1.bibx10" id="paren.24"><named-content content-type="pre">e.g. FESOM2,</named-content></xref>, suggest that the Eurasian Basin is densely populated by mesoscale eddies, with eddy activity closely linked to baroclinic instability of the Atlantic Water boundary current and sea ice dynamics. Complementing these model-based insights, <xref ref-type="bibr" rid="bib1.bibx21" id="text.25"/> reconstructed the ocean state from MOSAiC observations, providing a detailed view of subsurface dynamics and identifying numerous cyclonic and anticyclonic eddies beneath the ice, most of which appear to be in a quasi-steady state. Together, this evidence highlights strong motivation for observational characterisation of IHEs in the Eurasian Basin.</p>
      <p id="d2e483">This paper aims to provide a detailed characterisation of wintertime intrahalocline (sub)mesoscale eddies in the Amundsen Basin, using MOSAiC hydrographic and velocity data to investigate their dynamics, thermohaline properties, formation processes, and variability among individual eddies.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data</title>
      <p id="d2e501">The data used in this study were collected during the MOSAiC expedition <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx40" id="paren.26"/>. In particular, we use data from the Distributed Network (DN) <xref ref-type="bibr" rid="bib1.bibx41" id="paren.27"/>, which was installed around the Central Observatory (CO), where the <italic>Polarstern</italic> was anchored to the ice. We restrict our analysis to the winter period from 19 October 2019 to 15 March 2020 (for daily drift locations see Fig. <xref ref-type="fig" rid="F1"/>a). The DN consisted of several autonomous ice-tethered systems designed to collect Arctic Ocean properties at different temporal and spatial scales. The DN includes both fixed-depth time series data and vertical profiles. Although fixed-depth sensors provide high temporal resolution data (on the order of minutes) and capture eddy signatures <xref ref-type="bibr" rid="bib1.bibx15" id="paren.28"/>, they are unsuitable for detailed characterisation of individual eddies. This is because fixed-depth data do not capture the full vertical structure of IHEs, which require vertical profiling to resolve their thermohaline and velocity structure. Therefore, this study uses exclusively vertical profile data to analyse the structure and dynamics of wintertime IHEs. We focus on the three instrument deployment locations, termed L-sites, which were positioned at a distance of approximately 12–24 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> around the CO (Fig. <xref ref-type="fig" rid="F1"/>b). At the L-sites, Ice-Tethered Profilers (ITPs) <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx53" id="paren.29"/> provided Conductivity, Temperature and Depth (CTD) measurements, and Autonomous Ocean Flux Buoys (AOFBs) <xref ref-type="bibr" rid="bib1.bibx47" id="paren.30"/> equipped with Acoustic Doppler Current Profilers (ADCP) measured horizontal velocity. We also used CTD measurements from the surface to the ocean floor and velocity data from the <italic>Polarstern</italic> shipboard ADCP. All datasets were used in their publicly released, quality-controlled form from the official MOSAiC data products, including the ITP <xref ref-type="bibr" rid="bib1.bibx54" id="paren.31"/>, the <italic>Polarstern</italic> sADCP <xref ref-type="bibr" rid="bib1.bibx51" id="paren.32"/>, the AOFB <xref ref-type="bibr" rid="bib1.bibx46" id="paren.33"/>, and the <italic>Polarstern</italic> CTD <xref ref-type="bibr" rid="bib1.bibx52" id="paren.34"/>. No additional corrections, averaging, or interpolation were applied. Only the velocity data were smoothed with a half-day low-pass filter to reduce high-frequency noise while retaining eddy-scale variability. This was done to remove the short-period noise while preserving temporal variability at time scales expected for (sub)mesoscale eddies, which typically last several days. The MLD was defined as the first depth at which the Brunt–Väisälä frequency anomaly, <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula>, between successive measurements exceeded <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This threshold was selected following a visual inspection of all available profiles, as it reliably captured the transition from the mixed layer to the onset of the halocline during the MOSAiC drift. All thermodynamic variables, including density, <inline-formula><mml:math id="M24" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>, and derived quantities, were computed using TEOS-10 through the GSW Python toolbox <xref ref-type="bibr" rid="bib1.bibx26" id="paren.35"/>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e613">Instrumentation and sampling characteristics for each Distributed Network (DN) site.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">Platform</oasis:entry>
         <oasis:entry colname="col3">Sensor</oasis:entry>
         <oasis:entry colname="col4">Deployment</oasis:entry>
         <oasis:entry colname="col5">Time between</oasis:entry>
         <oasis:entry colname="col6">Depth</oasis:entry>
         <oasis:entry colname="col7">Depth</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">site</oasis:entry>
         <oasis:entry colname="col2">(Buoy system)</oasis:entry>
         <oasis:entry colname="col3">type</oasis:entry>
         <oasis:entry colname="col4">period</oasis:entry>
         <oasis:entry colname="col5">profiles [<inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col6">range [<inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col7">bin size [<inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">L1</oasis:entry>
         <oasis:entry colname="col2">ITP 111</oasis:entry>
         <oasis:entry colname="col3">CTD</oasis:entry>
         <oasis:entry colname="col4">7 Oct 2019–11 Jun 2020</oasis:entry>
         <oasis:entry colname="col5">6–18</oasis:entry>
         <oasis:entry colname="col6">10–200</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L1</oasis:entry>
         <oasis:entry colname="col2">AOFB</oasis:entry>
         <oasis:entry colname="col3">ADCP</oasis:entry>
         <oasis:entry colname="col4">7 Oct 2019–27 Feb 2020</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">12–80</oasis:entry>
         <oasis:entry colname="col7">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L2</oasis:entry>
         <oasis:entry colname="col2">ITP 94</oasis:entry>
         <oasis:entry colname="col3">CTD</oasis:entry>
         <oasis:entry colname="col4">8 Oct 2019–29 Jul 2020</oasis:entry>
         <oasis:entry colname="col5">6–24–6–36</oasis:entry>
         <oasis:entry colname="col6">10–200</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CO-PS</oasis:entry>
         <oasis:entry colname="col2">AOFB</oasis:entry>
         <oasis:entry colname="col3">ADCP</oasis:entry>
         <oasis:entry colname="col4">14 Oct 2019–19 Mar 2020</oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
         <oasis:entry colname="col6">12–80</oasis:entry>
         <oasis:entry colname="col7">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L3</oasis:entry>
         <oasis:entry colname="col2">ITP 102</oasis:entry>
         <oasis:entry colname="col3">CTD</oasis:entry>
         <oasis:entry colname="col4">11 Oct 2019–31 Jan 2020</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">10–200</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L3</oasis:entry>
         <oasis:entry colname="col2">AOFB</oasis:entry>
         <oasis:entry colname="col3">ADCP</oasis:entry>
         <oasis:entry colname="col4">10 Oct 2019–22 Jan 2020</oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
         <oasis:entry colname="col6">10–80</oasis:entry>
         <oasis:entry colname="col7">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CO-PS</oasis:entry>
         <oasis:entry colname="col2">Polarstern</oasis:entry>
         <oasis:entry colname="col3">CTD</oasis:entry>
         <oasis:entry colname="col4">14 Nov 2019–20 Feb 2020</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">1–4000 (Bottom)</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CO-PS</oasis:entry>
         <oasis:entry colname="col2">Polarstern</oasis:entry>
         <oasis:entry colname="col3">ADCP</oasis:entry>
         <oasis:entry colname="col4">28 Oct 2019–4 Jun 2020</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">25–200</oasis:entry>
         <oasis:entry colname="col7">8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e616">AOFB <inline-formula><mml:math id="M25" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Autonomous Ocean Flux Buoy, CO-PS <inline-formula><mml:math id="M26" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Central Observatory-<italic>Polarstern</italic>, ITP <inline-formula><mml:math id="M27" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Ice-Tethered Profiler.</p></table-wrap-foot></table-wrap>

      <p id="d2e954">The three L-sites were instrumented with ITPs and AOFB-mounted ADCPs, each operating with different profiling intervals and vertical sampling ranges (Table <xref ref-type="table" rid="T1"/>). Because all platforms drifted with the sea ice, the horizontal spacing between consecutive profiles depended on both drift speed and profiling interval, ranging approximately from 1 to 10 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, with the L3 ITP providing the smallest spacing and L2 the largest. The L1 and L2 sensors remained operational throughout the winter and drifted toward the Fram Strait, whereas the L3 sensors ceased operation on 31 January 2020 following an ice-ridging event. The L2 ADCP did not return usable data due to early technical failure, and when L2 and the Central Observatory were aligned, velocity measurements were supplemented using the <italic>Polarstern</italic> shipboard ADCP.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Eddy detection</title>
      <p id="d2e978">In this study, the DN moved with the sea ice at a mean drift speed of 0.11 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while the underlying ocean current below the mixed layer had an average speed of 0.02 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F1"/>c). Because ice drift is an order of magnitude faster than ocean currents, the ice-tethered platforms move quickly relative to the ocean features beneath them. The DN geometry also remained stable during the drift (Fig. <xref ref-type="fig" rid="F1"/>b), with inter-platform distances changing only slightly and always exceeding the expected diameter of Arctic intrahalocline eddies. This large difference in speeds and the absence of significant deformation or rotation of the array justifies the quasi-synoptic assumption, which means that measurements from the ice-advected platforms can be considered as near-instantaneous snapshots (“frozen fields”) of the slower-evolving ocean eddies <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx19" id="paren.36"/>. Furthermore, the analysis was restricted to DN trajectories that followed approximately linear paths during each eddy encounter, thereby minimising potential geometric biases arising from the relative motion between the platform and a propagating eddy. This interpretation agrees with observations that Arctic eddies propagate at speeds roughly an order of magnitude slower than the sea ice drift <xref ref-type="bibr" rid="bib1.bibx55" id="paren.37"/>.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1028">Cumulative distance–speed sections for <bold>(a)</bold> eddy E8 (15 January 2020) and <bold>(b)</bold> eddy E9 (12 February 2020). Black contours indicate isopycnals spaced every 0.25 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The dotted vertical light grey lines mark the ADCP measurement profiles, and the purple triangles mark the ITP measurement profiles.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f02.png"/>

        </fig>

      <p id="d2e1060">To identify eddies, we follow the methodology suggested by <xref ref-type="bibr" rid="bib1.bibx50" id="text.38"/> and <xref ref-type="bibr" rid="bib1.bibx60" id="text.39"/>. Eddies were first recognised in the ITP profiles by visually detecting coherent vertical displacements of isopycnals across several consecutive casts, reflecting the eddy's spatial structure as the drifting platform crosses it. In the case of the anticyclonic IHEs, the only type of eddies detected in our dataset, the upper part of the eddy shows a convex upward doming of isopycnals, whereas the lower part exhibits a concave downward displacement, producing opposite slopes above and below the core. In a second step, we analyse the velocity profiles measured by the ADCPs and look for the characteristic eddy velocity anomaly, with two local maxima in horizontal speed, one on each side of the isopycnal displacement centre. Figure <xref ref-type="fig" rid="F2"/> illustrates this two-step identification using the hydrographic displacement and the associated speed anomalies. E8 (Fig. <xref ref-type="fig" rid="F2"/>a) at L3 was sampled with the smallest horizontal spacing between profiles, whereas E9 (Fig. <xref ref-type="fig" rid="F2"/>b) at L2 had the largest spacing. These examples show how eddy-like structures are recognised from the combined ITP–ADCP signal before applying dynamical consistency tests.</p>
      <p id="d2e1076">The last step in confirming that an eddy-like structure is in fact a rotating eddy is to verify that the velocity field is dynamically consistent with coherent rotation rather than with other features such as meanders or frontal intrusions, which have been documented in the central and marginal Arctic Ocean <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx56 bib1.bibx60 bib1.bibx50 bib1.bibx37" id="paren.40"><named-content content-type="pre">e.g.</named-content></xref>. As a first diagnostic, we require that the azimuthal (cross-track) velocity <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exhibit a reversal in sign across the centre of the isopycnal displacement, indicating opposite flow directions on the two flanks of the feature and ensuring that the profiler crossed through or very near the eddy core. As a second diagnostic, we test whether <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases approximately linearly with radius within the core, consistent with the solid-body rotation expected in mesoscale eddies <xref ref-type="bibr" rid="bib1.bibx36" id="paren.41"/>; the radius of maximum velocity then marks the edge of the core <xref ref-type="bibr" rid="bib1.bibx8" id="paren.42"/>. Because these dynamical diagnostics confirm coherent rotation, we also accept eddies sampled with fewer than the 4 ITP profiles required by <xref ref-type="bibr" rid="bib1.bibx50" id="text.43"/>. In our dataset, the combined ITP–ADCP observations can confirm the presence of an eddy even when only two consecutive profiles show the isopycnal displacement.</p>
      <p id="d2e1116">To compute the cross-track component <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and its along-track counterpart <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the velocity profiles were rotated by the angle <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> between consecutive drift-track segments:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M41" display="block"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>u</mml:mi><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi>v</mml:mi><mml:mi>sin⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1183">

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M42" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi>u</mml:mi><mml:mi>sin⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi>v</mml:mi><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>=</mml:mo><mml:mi>arctan⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the position of the first measurement and <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the second measurement. <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, also termed the swirl velocity, provides a sense of the rotation of the fluid (i.e., the tangential velocity component within a swirling flow).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1331">Azimuthal velocity (<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) for <bold>(a)</bold> eddy E8 (15 January 2020) and <bold>(b)</bold> eddy E9 (12 February 2020). Black dots show the measured <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:math></inline-formula> values at the depth level of maximum azimuthal velocity from ADCP data, computed using Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>). The solid red line represents the inner part of the Rankine vortex model (Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>, <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>), while yellow dots represent the outer part (Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>). The maximum azimuthal velocity (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) used in the model is marked by a red dot with a yellow centre. The Rankine model is scaled using the maximum azimuthal velocity directly measured from the ADCP profiles (red dot with yellow centre).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f03.png"/>

        </fig>

      <p id="d2e1432">In the theoretical Rankine vortex <xref ref-type="bibr" rid="bib1.bibx2" id="paren.44"/>, the azimuthal velocity increases linearly with the distance to the centre, having the maximum value of the velocity at <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>; the distance between the location of the absolute smallest azimuthal velocity (centre of the eddy) and the maximum azimuthal velocity (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) (Fig. <xref ref-type="fig" rid="F3"/>, red line). A method for computing the azimuthal velocity <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of a theoretical eddy as a function of radius (Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>) follows the analytical velocity model introduced initially by <xref ref-type="bibr" rid="bib1.bibx5" id="text.45"/>, and later applied explicitly to eddy-velocity fitting by <xref ref-type="bibr" rid="bib1.bibx6" id="text.46"/>:</p>
      <p id="d2e1483">
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M55" display="block"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="cases" columnspacing="1em" rowspacing="0.2ex" columnalign="left left" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:mi>r</mml:mi><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mtext>for </mml:mtext><mml:mi>r</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>r</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mfrac></mml:mstyle></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mtext>for </mml:mtext><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is a damping coefficient that indicates decay. Equation (<xref ref-type="disp-formula" rid="Ch1.E4"/>) assumes an inner part of the eddy that rotates like a solid body (<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) and an outer part (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) where the velocity decays rapidly at the e folding scale <inline-formula><mml:math id="M59" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>, which is typically about <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>. Here, we are focusing on the inner part (i.e., the core of the eddy). Furthermore, the dynamics outside the limit of <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> are out of the scope of this study.</p>
      <p id="d2e1662">The azimuthal velocity (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) calculated using Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) was compared to the theoretical Rankine vortex (Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>) to assess whether the eddy cores exhibit solid-body rotation. In both E8 (15 January) and E9 (12 February) (Fig. <xref ref-type="fig" rid="F3"/>), the observed azimuthal velocity profiles measured by the ADCP closely follow the theoretical shape. The inner region displays solid-body rotation, while the outer region shows a rapid velocity decay, consistent with the Rankine vortex structure. For this comparison, the Rankine model is scaled using the maximum azimuthal velocity directly measured from the ADCP data along the drift trajectory, ensuring that the comparison reflects only the observations and the analytical model introduced in this subsection.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Determining the centre of the eddy and its radius</title>
      <p id="d2e1690">Several methods have been used to determine the centre of eddies in the open ocean. However, most need a surface expression of the eddy to obtain the horizontal velocity field <xref ref-type="bibr" rid="bib1.bibx8" id="paren.47"/>. In our study region, the presence of thick sea ice prevents the use of satellite-derived velocity fields, so the eddy centre must be inferred directly from the in situ ADCP observations. To estimate the centre of the eddy and obtain an accurate approximation of its radius, we applied the Maximum Swirl Velocity (MSV) method as described by <xref ref-type="bibr" rid="bib1.bibx6" id="text.48"/>. This method assumes that an eddy is axisymmetric, with all the momentum associated with the azimuthal component of the velocity. Hence, its centre is defined as the reference point in a cylindrical coordinate system that maximises the measured azimuthal velocity <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> among the available data points, while the radial component of the velocity <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is vanishing <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msubsup><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt><mml:mo>=</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e1758">Velocity vectors of the eddies in <bold>(a)</bold> eddy E8 (15 January 2020) and <bold>(b)</bold> eddy E9 (12 February 2020) at the depth of maximum velocity. The grey area shows the grid used for the detection of the eddy centre, the red dot shows the estimated eddy centre using the methodology of <xref ref-type="bibr" rid="bib1.bibx33" id="text.49"/>, the orange dot is the maximum azimuthal velocity (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) location and the orange line show the distance between the location of the absolute smallest azimuthal velocity (centre of the eddy) and <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>. The blue circle marks the inner part of the eddy. Equivalent plots for the remaining detected IHEs are shown in Appendix Fig. <xref ref-type="fig" rid="FA1"/>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f04.png"/>

        </fig>

      <p id="d2e1801">To find the centre, we followed the approximation of <xref ref-type="bibr" rid="bib1.bibx33" id="text.50"/>, who proposed testing the MSV method over a gridded search area, as follows. First, we defined an area of <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> around the location where the minimum velocity inside the eddy was measured, dividing it into a 100 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> resolution grid. We then used every point of the grid as a theoretical centre, decomposing all of the ADCP velocities, as in Eqs. (<xref ref-type="disp-formula" rid="Ch1.E1"/>)–(<xref ref-type="disp-formula" rid="Ch1.E3"/>), into tangential and radial components relative to each candidate centre. As <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has opposite signs for cyclones and anticyclones, it is easier to determine the centre of the eddy by finding the location where <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is minimal, thereby minimising the cost function <inline-formula><mml:math id="M72" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx6" id="paren.51"/>:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M73" display="block"><mml:mrow><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>N</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi mathvariant="normal">r</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M74" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the number of ADCP measurements used and <inline-formula><mml:math id="M75" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the speed. To perform this minimisation, we computed the value of <inline-formula><mml:math id="M76" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> at every grid point and selected as the eddy centre the point where <inline-formula><mml:math id="M77" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> reached its minimum. Once the centre is detected, we recalculated the radius <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as the distance between the theoretical centre and <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> (as shown in Fig. <xref ref-type="fig" rid="F4"/>).</p>
      <p id="d2e1980">We apply this eddy detection method to eddies E8 and E9 (Fig. <xref ref-type="fig" rid="F4"/>). The centre of the eddy E8, calculated by minimising the cost function <inline-formula><mml:math id="M80" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>, lies approximately 5 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from the point of minimum velocity in the transect, and its radius is estimated at 8.4 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. In contrast, the radius obtained by measuring the distance between the locations of minimum and maximum velocity along the same transect is considerably smaller, about 4.6 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. For eddy E9, the L2 transect crossed nearly through its centre, and the difference between the two radius estimates is minimal (5.9–6.1 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Calculation of Rossby radius</title>
      <p id="d2e2033">The Rossby radius of deformation is a fundamental scale in geophysical fluid dynamics that characterises the horizontal extent over which baroclinic processes, such as eddies, are influenced by the Earth's rotation. It represents the length scale at which the restoring force due to stratification (buoyancy) is balanced by the Coriolis force (rotation), and is thus a critical parameter in controlling the dynamics of mesoscale structures <xref ref-type="bibr" rid="bib1.bibx36" id="paren.52"/>. To constrain the local scale of these mesoscale processes, we calculated the first mode of the baroclinic Rossby radius of deformation using the approximation of <xref ref-type="bibr" rid="bib1.bibx57" id="text.53"/> (Eq. <xref ref-type="disp-formula" rid="Ch1.E6"/>):

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M85" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mo>∂</mml:mo><mml:mrow><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msubsup><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M86" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>, the Brunt–Väisälä frequency, is derived from the CTD vertical cast. <inline-formula><mml:math id="M87" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is the Coriolis parameter (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.45</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the dynamic mode eigenfunction and <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the Rossby radius of the <inline-formula><mml:math id="M92" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>th baroclinic mode. To solve this equation, we apply a flat-bottom boundary condition (<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula>), appropriate for our study region within the deep Amundsen Basin. Although the Amundsen Basin is limited by the Lomonosov and Gakkel Ridges, our study area lies in the central interior of the basin, where the upper-ocean stratification and water-mass structure are known to be horizontally uniform and largely independent of ridge-controlled dynamics <xref ref-type="bibr" rid="bib1.bibx42" id="paren.54"/></p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2251">The first baroclinic Rossby radius of deformation mode (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) calculated from  CTD vertical casts obtained aboard <italic>Polarstern</italic> during the MOSAiC drift (dashed black line), with the start of the drift (19 October 2019) marked by a black star. Spatial distribution of <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>  is shown in <bold>(a)</bold>, and the time series of <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> as a function of latitude is shown in <bold>(b)</bold>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f05.png"/>

        </fig>

      <p id="d2e2318">In Fig. <xref ref-type="fig" rid="F5"/>, we show the spatial distribution of <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in our study area. Stations located close to each other sometimes show different <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values, likely due to local variations in the vertical stratification of the water column. These differences reflect the sensitivity of the method to small-scale changes in water column stability, which are captured in the CTD profiles. The mean value of <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the study area is 6.93 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, which justifies our use of the term (sub)mesoscale throughout the paper, as several eddy structures observed fall near or below this threshold.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2382">Details of the eddies E8 (upper panel) and E9 (lower panel). <bold>(a)</bold> Cross sections of conservative temperature (<inline-formula><mml:math id="M102" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) and <bold>(b)</bold> absolute salinity (<inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) with isopycnals shown as black contours spaced every 0.25 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; red and cyan contours indicate the upper and lower limits of the eddies, respectively, and the dashed vertical red line marks the central eddy profile. <bold>(f)</bold> Cross section of azimuthal velocity <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with velocity contours in grey every 0.05 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The green dotted line indicates the depth of maximum velocity. The dotted vertical light grey lines in <bold>(a)</bold>, <bold>(b)</bold> and <bold>(f)</bold> marker the measurement profiles, where the darker lines are the profiles inside the eddy in Fig. <xref ref-type="fig" rid="F7"/>. Equivalent plots for the remaining detected IHEs are shown in Appendix Figs. <xref ref-type="fig" rid="FA2"/> and <xref ref-type="fig" rid="FA3"/>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f06.png"/>

        </fig>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2488">Details of the eddies E8 (upper panel) and E9 (lower panel). Vertical profiles of density (<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(a)</bold>, absolute salinity (<inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <bold>(b)</bold>, buoyancy frequency (<inline-formula><mml:math id="M109" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>) <bold>(c)</bold>, conservative temperature (<inline-formula><mml:math id="M110" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) <bold>(d)</bold>, and azimuthal velocity (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(e)</bold>. The red line shows the central profile, and the grey line shows the mean profiles at <inline-formula><mml:math id="M112" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> around the eddy, marked as dotted vertical light grey lines in Fig. <xref ref-type="fig" rid="F6"/>. Dashed horizontal lines show the top (red), the bottom (cyan), the maximum azimuthal velocity level (green) and the eddy core-centre depth (orange). Equivalent plots for the remaining detected IHEs are shown in Appendix Figs. <xref ref-type="fig" rid="FA4"/> and <xref ref-type="fig" rid="FA5"/>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f07.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Examples of two characteristic eddies</title>
      <p id="d2e2604">We observed nine eddies, which, for the purpose of explanation, we label E1 to E9. We start this section by analysing in detail two representative anticyclonic eddies: E8, observed on 15 January, and E9, observed on 12 February (see Tables <xref ref-type="table" rid="T2"/> and <xref ref-type="table" rid="T3"/>. These examples are used throughout the Methods section to illustrate our detection and characterisation approach. The E8 eddy (Figs. <xref ref-type="fig" rid="F6"/> and <xref ref-type="fig" rid="F7"/>, upper panels) was captured by the L3 buoys with 12 ITP profiles and 10 ADCP profiles within the solid-body rotation region (core). The MSV method (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>) revealed a radius of 8.4 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The E9 eddy (Figs. <xref ref-type="fig" rid="F6"/> and <xref ref-type="fig" rid="F7"/>, lower panels), captured by the L2 buoy with only 2 ITP profiles and 9 ADCP profiles, had a radius of 6.14 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. We selected these two eddies because they were the largest and most energetic detected along the drift track, with strong azimuthal velocities and clear hydrographic signatures representative of wintertime IHEs. Although the CTD profiles only coarsely resolved E9, the ADCP data did resolve it well, and it suggests the eddy was crossed almost through its centre (Fig. <xref ref-type="fig" rid="F4"/>).</p>
      <p id="d2e2640">To characterise the eddies, we used profiles of conservative temperature (<inline-formula><mml:math id="M116" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>), absolute salinity (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), density (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), buoyancy frequency (<inline-formula><mml:math id="M119" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>), and azimuthal velocity (<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) (Fig. <xref ref-type="fig" rid="F7"/>). We selected the central profile, where the isopycnal displacement was greatest, based on ITP data (Fig. <xref ref-type="fig" rid="F6"/>a and b, red dashed line). The <inline-formula><mml:math id="M121" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> profiles were used to identify the isopycnal surfaces that bound each eddy vertically. We define the upper limit of the eddy (Figs. <xref ref-type="fig" rid="F6"/> and <xref ref-type="fig" rid="F7"/>, red line) as the isopycnal coincident with the depth of the first peak in <inline-formula><mml:math id="M122" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>, and the lower limit (Figs. <xref ref-type="fig" rid="F6"/> and <xref ref-type="fig" rid="F7"/>, cyan line) as the isopycnal coincident with the depth of the second peak in <inline-formula><mml:math id="M123" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>, and the core-centre is defined as the depth where <inline-formula><mml:math id="M124" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> reaches a minimum between these two limits. Our definition of the core-centre depth differs from that used by <xref ref-type="bibr" rid="bib1.bibx50" id="text.55"/>, who used the level of minimum <inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>. That criterion was not applicable to the eddies observed in this study, as no clear <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> minimum was present. The eddy thickness is thus given by the depth difference between its upper and lower boundaries. The eddies observed are IHEs, located near the base of the mixed layer and interacting with the upper halocline. As they translate, they uplift the mixed layer, making it thinner. The eddy E8 yielded a decrease in the MLD from 41 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to 24 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from the eddy edge to the eddy centre, which is similar to that resulting from the eddy E9, with a decrease of 20 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth. At the upper boundary, the isopycnal was displaced upwards 14 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in both eddies; at the lower boundary, it was displaced downwards by 23 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in E8 and 19 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in E9. In E8, the eddy's upper boundary is located at depth with <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F7"/>d), indicating good agreement between the CTD and ADCP data. In E9, the eddy's upper boundary, as determined using the <inline-formula><mml:math id="M134" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> profiles, does not align with the depth with <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, likely due to the coarser temporal resolution of the CTD data. The maximum azimuthal velocity of the eddy was 0.25 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and 0.28 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in E8 and E9, respectively.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2879">Properties of the nine eddies (E1–E9) detected during the winter 2019–2020 MOSAiC drift and their spatial locations <bold>(a)</bold>.  Markers indicate the L-site of detection (inverted triangles: L1, squares: L2, diamonds: L3). Time series panels show the eddy radius <bold>(b)</bold>, Rossby number (<inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula>) <bold>(c)</bold> and maximum azimuthal velocity (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(d)</bold> on the left; and eddy thickness (<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:math></inline-formula>) <bold>(e)</bold>, core-centre absolute salinity anomaly (<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(f)</bold> and core-centre conservative temperature anomaly (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi>C</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(g)</bold> on the right. In <bold>(b)</bold>, we compare the radius estimated from the distance between <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the centre located in the buoy drift (Fig. <xref ref-type="fig" rid="F3"/>, translucent markers) with that calculated using the MSV method (Fig. <xref ref-type="fig" rid="F4"/>). The first mode of the Rossby radius <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is shown in orange, with mean values indicated by dashed lines in the same colour.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f08.png"/>

        </fig>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e3015">Summary of hydrographical properties of all detected IHEs during the winter MOSAiC drift. Eddies are labelled sequentially (E1 to E10) based on their chronological order of detection. Mixed layer depth in the central profile/mean water state <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>MLD</mml:mtext></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>], thickness <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>], core-centre depth <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>], core-centre values of conservative temperature <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>], absolute salinity <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>], density <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>], their anomaly values, and number of ITP and ADCP profiles within the eddy core.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="13">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:colspec colnum="9" colname="col9" align="center"/>
     <oasis:colspec colnum="10" colname="col10" align="center"/>
     <oasis:colspec colnum="11" colname="col11" align="center"/>
     <oasis:colspec colnum="12" colname="col12" align="center"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Eddy</oasis:entry>
         <oasis:entry colname="col2">Site</oasis:entry>
         <oasis:entry colname="col3">Date</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>MLD</mml:mtext></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col13">ITP-ADCP</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13">profiles</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">E1</oasis:entry>
         <oasis:entry colname="col2">L3</oasis:entry>
         <oasis:entry colname="col3">21 Oct</oasis:entry>
         <oasis:entry colname="col4">22/31</oasis:entry>
         <oasis:entry colname="col5">23</oasis:entry>
         <oasis:entry colname="col6">36</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.72</oasis:entry>
         <oasis:entry colname="col8">33.84</oasis:entry>
         <oasis:entry colname="col9">27.28</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.001</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M168" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.154</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.124</oasis:entry>
         <oasis:entry colname="col13">8–6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E2</oasis:entry>
         <oasis:entry colname="col2">L3</oasis:entry>
         <oasis:entry colname="col3">29 Oct</oasis:entry>
         <oasis:entry colname="col4">19/29</oasis:entry>
         <oasis:entry colname="col5">56</oasis:entry>
         <oasis:entry colname="col6">73</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M170" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.71</oasis:entry>
         <oasis:entry colname="col8">34.26</oasis:entry>
         <oasis:entry colname="col9">27.80</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.111</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.169</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.133</oasis:entry>
         <oasis:entry colname="col13">15–8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E3</oasis:entry>
         <oasis:entry colname="col2">L1</oasis:entry>
         <oasis:entry colname="col3">31 Oct</oasis:entry>
         <oasis:entry colname="col4">28/32</oasis:entry>
         <oasis:entry colname="col5">46</oasis:entry>
         <oasis:entry colname="col6">54</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.78</oasis:entry>
         <oasis:entry colname="col8">34.09</oasis:entry>
         <oasis:entry colname="col9">27.57</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M175" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.003</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M176" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.133</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.107</oasis:entry>
         <oasis:entry colname="col13">2–6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E4</oasis:entry>
         <oasis:entry colname="col2">L1</oasis:entry>
         <oasis:entry colname="col3">04 Nov</oasis:entry>
         <oasis:entry colname="col4">16/35</oasis:entry>
         <oasis:entry colname="col5">62</oasis:entry>
         <oasis:entry colname="col6">43</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M178" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.80</oasis:entry>
         <oasis:entry colname="col8">33.81</oasis:entry>
         <oasis:entry colname="col9">27.29</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.071</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M180" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.133</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M181" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.105</oasis:entry>
         <oasis:entry colname="col13">4–8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E5</oasis:entry>
         <oasis:entry colname="col2">L3</oasis:entry>
         <oasis:entry colname="col3">17 Nov</oasis:entry>
         <oasis:entry colname="col4">23/29</oasis:entry>
         <oasis:entry colname="col5">70</oasis:entry>
         <oasis:entry colname="col6">69</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M182" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.81</oasis:entry>
         <oasis:entry colname="col8">34.18</oasis:entry>
         <oasis:entry colname="col9">27.72</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.156</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.178</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.139</oasis:entry>
         <oasis:entry colname="col13">4–4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E6</oasis:entry>
         <oasis:entry colname="col2">L3</oasis:entry>
         <oasis:entry colname="col3">24 Nov</oasis:entry>
         <oasis:entry colname="col4">21/30</oasis:entry>
         <oasis:entry colname="col5">69</oasis:entry>
         <oasis:entry colname="col6">67</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.83</oasis:entry>
         <oasis:entry colname="col8">34.19</oasis:entry>
         <oasis:entry colname="col9">27.72</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M187" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.190</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M188" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.197</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M189" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.153</oasis:entry>
         <oasis:entry colname="col13">8–6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E7</oasis:entry>
         <oasis:entry colname="col2">L2</oasis:entry>
         <oasis:entry colname="col3">17 Dec</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
         <oasis:entry colname="col12">–</oasis:entry>
         <oasis:entry colname="col13">0–9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E8</oasis:entry>
         <oasis:entry colname="col2">L3</oasis:entry>
         <oasis:entry colname="col3">15 Jan</oasis:entry>
         <oasis:entry colname="col4">24/41</oasis:entry>
         <oasis:entry colname="col5">72</oasis:entry>
         <oasis:entry colname="col6">63</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.74</oasis:entry>
         <oasis:entry colname="col8">33.62</oasis:entry>
         <oasis:entry colname="col9">27.23</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M191" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.057</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M192" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.296</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.237</oasis:entry>
         <oasis:entry colname="col13">12–10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E9</oasis:entry>
         <oasis:entry colname="col2">L2</oasis:entry>
         <oasis:entry colname="col3">12 Feb</oasis:entry>
         <oasis:entry colname="col4">24/42</oasis:entry>
         <oasis:entry colname="col5">80</oasis:entry>
         <oasis:entry colname="col6">70</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.77</oasis:entry>
         <oasis:entry colname="col8">33.63</oasis:entry>
         <oasis:entry colname="col9">27.27</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M195" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.067</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.257</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M197" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.205</oasis:entry>
         <oasis:entry colname="col13">2–9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Properties of all eddies detected during the winter season</title>
      <p id="d2e3973">In the period from 19 October 2019 to 15 March 2020, we detected nine well-developed anticyclonic eddies in the central part of the Amundsen Basin (Fig. <xref ref-type="fig" rid="F8"/>a, Tables <xref ref-type="table" rid="T2"/> and <xref ref-type="table" rid="T3"/>). These eddies are consistent with our criteria, showing evident isopycnal displacement and solid-body rotation. At the L3 site, we sampled five eddies at high horizontal resolution, enabled by the high-frequency sampling of both ITP and ADCP instruments at this location (Fig. <xref ref-type="fig" rid="F8"/>, diamond markers), and their presence is evident in both the isopycnal displacement and the large subsurface azimuthal velocity. The ITP at the L2 site had a more complex profiling schedule (Table <xref ref-type="table" rid="T1"/>), with a greater horizontal distance between consecutive profiles, making the identification of eddies by isopycnal displacement alone more challenging. However, when analysing the ADCP data, we detected one eddy in December and one in February (Fig. <xref ref-type="fig" rid="F8"/>, square markers). We do not have hydrographic data for the inner part of the eddy in December (E7), and only two profiles are available for the eddy in February (E9). At the L1 site, we detected two eddies, one in October (E3) and one in November (E4) (Fig. <xref ref-type="fig" rid="F8"/>, inverted triangle markers). There is a one-month gap in eddy detections in the DN (17 December 2019–15 January 2020). However, there were no obvious changes in the drift speed of the DN during that period (Fig. <xref ref-type="fig" rid="F1"/>c, mean speed of <inline-formula><mml:math id="M198" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.1 <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">ms</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Hence, the absence of eddies is likely unrelated to the temporal and spatial resolution of the measurements.</p>

<table-wrap id="T3"><label>Table 3</label><caption><p id="d2e4017">Summary of dynamical properties of all detected IHEs. Eddy radius <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>], maximum azimuthal velocity <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>], depth of maximum velocity <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>], Rossby number <inline-formula><mml:math id="M207" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula>, and Burger number <inline-formula><mml:math id="M208" display="inline"><mml:mi mathvariant="italic">Bu</mml:mi></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Eddy</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M212" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M213" display="inline"><mml:mi mathvariant="italic">Bu</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">E1</oasis:entry>
         <oasis:entry colname="col2">7.14</oasis:entry>
         <oasis:entry colname="col3">0.10</oasis:entry>
         <oasis:entry colname="col4">33</oasis:entry>
         <oasis:entry colname="col5">0.19</oasis:entry>
         <oasis:entry colname="col6">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E2</oasis:entry>
         <oasis:entry colname="col2">5.46</oasis:entry>
         <oasis:entry colname="col3">0.08</oasis:entry>
         <oasis:entry colname="col4">33</oasis:entry>
         <oasis:entry colname="col5">0.20</oasis:entry>
         <oasis:entry colname="col6">0.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E3</oasis:entry>
         <oasis:entry colname="col2">3.78</oasis:entry>
         <oasis:entry colname="col3">0.10</oasis:entry>
         <oasis:entry colname="col4">45</oasis:entry>
         <oasis:entry colname="col5">0.38</oasis:entry>
         <oasis:entry colname="col6">1.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E4</oasis:entry>
         <oasis:entry colname="col2">6.74</oasis:entry>
         <oasis:entry colname="col3">0.20</oasis:entry>
         <oasis:entry colname="col4">37</oasis:entry>
         <oasis:entry colname="col5">0.42</oasis:entry>
         <oasis:entry colname="col6">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E5</oasis:entry>
         <oasis:entry colname="col2">7.30</oasis:entry>
         <oasis:entry colname="col3">0.08</oasis:entry>
         <oasis:entry colname="col4">65</oasis:entry>
         <oasis:entry colname="col5">0.16</oasis:entry>
         <oasis:entry colname="col6">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E6</oasis:entry>
         <oasis:entry colname="col2">5.23</oasis:entry>
         <oasis:entry colname="col3">0.08</oasis:entry>
         <oasis:entry colname="col4">63</oasis:entry>
         <oasis:entry colname="col5">0.23</oasis:entry>
         <oasis:entry colname="col6">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E7</oasis:entry>
         <oasis:entry colname="col2">4.59</oasis:entry>
         <oasis:entry colname="col3">0.11</oasis:entry>
         <oasis:entry colname="col4">47</oasis:entry>
         <oasis:entry colname="col5">0.34</oasis:entry>
         <oasis:entry colname="col6">2.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E8</oasis:entry>
         <oasis:entry colname="col2">8.40</oasis:entry>
         <oasis:entry colname="col3">0.21</oasis:entry>
         <oasis:entry colname="col4">49</oasis:entry>
         <oasis:entry colname="col5">0.35</oasis:entry>
         <oasis:entry colname="col6">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E9</oasis:entry>
         <oasis:entry colname="col2">6.14</oasis:entry>
         <oasis:entry colname="col3">0.27</oasis:entry>
         <oasis:entry colname="col4">45</oasis:entry>
         <oasis:entry colname="col5">0.62</oasis:entry>
         <oasis:entry colname="col6">0.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e4398">Scatter plots of: <bold>(a)</bold> density anomaly (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) versus salinity anomaly (<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), <bold>(b)</bold> Radius versus maximum azimuthal velocity (<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) with dash lines showing <inline-formula><mml:math id="M217" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> of 0.2 (blue), 0.4 (green), and 0.6 (red), <bold>(c)</bold> maximum azimuthal velocity (<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) versus thickness (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:math></inline-formula>) and <bold>(d)</bold> Core-centre depth (<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) versus thickness (<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f09.png"/>

        </fig>

      <p id="d2e4516">We now describe the mean properties of the detected eddies (Fig. <xref ref-type="fig" rid="F8"/> and Tables <xref ref-type="table" rid="T2"/> and <xref ref-type="table" rid="T3"/>). The dynamical nature of the eddies can be characterised through the interplay between four key parameters: the eddy radii estimated from the MSV (<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M223" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.09 <inline-formula><mml:math id="M224" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), the first mode of the baroclinic Rossby radius of deformation (<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M227" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.9 <inline-formula><mml:math id="M228" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3 <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), the maximum azimuthal velocity (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.14 <inline-formula><mml:math id="M232" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and the Rossby number ( <inline-formula><mml:math id="M234" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M235" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.32 <inline-formula><mml:math id="M236" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.14). The condition <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> places these eddies in the (sub)mesoscale regime, indicating a transitional dynamical scale. Consistent with this interpretation, the Burger number (<inline-formula><mml:math id="M238" display="inline"><mml:mi mathvariant="italic">Bu</mml:mi></mml:math></inline-formula>) computed for the nine eddies (0.4–2.9) further show that most lie in a submesoscale-to-mesoscale transitional regime (<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mi mathvariant="italic">Bu</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), while a minority (<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi mathvariant="italic">Bu</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) exhibit more compact structures where cyclogeostrophic effects may become relevant. We computed <inline-formula><mml:math id="M241" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> using the cylindrical approximation <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx60" id="paren.56"/>, where <inline-formula><mml:math id="M243" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> is <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M245" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is the Coriolis parameter and <inline-formula><mml:math id="M246" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the radius. Similarly, the Burger number was computed as <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mi mathvariant="italic">Bu</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the first baroclinic Rossby deformation radius. This yields <inline-formula><mml:math id="M249" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.16</mml:mn><mml:mo>&lt;</mml:mo><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>) that is consistent with the quasi-geostrophic balance, although the upper range allows for curvature effects <xref ref-type="bibr" rid="bib1.bibx45" id="paren.57"><named-content content-type="pre">e.g.,</named-content></xref>. It is interesting that the radii would be underestimated by <inline-formula><mml:math id="M251" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 1.7 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> if we did not perform the MSV correction (Fig. <xref ref-type="fig" rid="F8"/>b), which would indicate that the eddies appear closer to the submesoscale regime than they actually are. In the centre of the eddies, the MLD becomes shallower on average by 11.5 <inline-formula><mml:math id="M253" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.73 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, ranging from 33.6 to 22.12 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth. The eddy thickness differs by 23 to 80 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, having an average thickness of <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mn mathvariant="normal">59.75</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The depth of the eddy centre (<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) were found at <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mn mathvariant="normal">59.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth with an average temperature of <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M263" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.773</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, salinity of <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M267" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mn mathvariant="normal">33.954</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula> and a potential density of <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M270" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. These values correspond to the range of surface waters in the Amundsen Basin, but then, if we look at the anomalies against the mean values of the profiles at <inline-formula><mml:math id="M273" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> around the eddy, we find small yet significant anomalies (<inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M276" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M277" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.082<inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M280" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M281" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.189 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M284" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M285" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), that we will use later to discuss the possible origin of the eddies.</p>
      <p id="d2e5238">In the Arctic Ocean, density is primarily driven by salinity changes (Figs. <xref ref-type="fig" rid="F6"/>b and <xref ref-type="fig" rid="F7"/>b) rather than temperature due to the well-developed halocline, as cold waters remain close to the freezing point, minimising thermal effects <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx4" id="paren.58"/>. This dependency is evident in the core-centre properties, with density anomalies linearly associated with salinity anomalies (Fig. <xref ref-type="fig" rid="F9"/>a). However, the relationship between <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> and the eddy thickness does not follow a single linear trend (Fig. <xref ref-type="fig" rid="F9"/>c), where we can distinguish two different groups. The first one with lower <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> and Rossby numbers <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula>, where the relative vorticity term (<inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi>r</mml:mi></mml:mrow></mml:math></inline-formula>) represents only about 20 % of the planetary vorticity (<inline-formula><mml:math id="M291" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>), and the second group with lower <inline-formula><mml:math id="M292" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M293" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 0.3–0.6), where relative vorticity accounts for 30 %–60 % of <inline-formula><mml:math id="M294" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>. This separation in <inline-formula><mml:math id="M295" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> is consistent with the natural segmentation apparent in the <inline-formula><mml:math id="M296" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> distribution itself (Fig. <xref ref-type="fig" rid="F9"/>b), which qualitatively corresponds to what a non-parametric clustering approach would identify. Higher <inline-formula><mml:math id="M297" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> eddies require stronger velocity adjustments to balance changes in thickness, and for these cases, the Coriolis force alone becomes insufficient to balance the radial pressure gradient. The centrifugal contribution therefore becomes relevant, indicating that those eddies are closer to the cyclogeostrophic regime in which both Coriolis and centrifugal forces balance the pressure gradient, consistent with the findings of <xref ref-type="bibr" rid="bib1.bibx60" id="text.59"/>. In contrast, low <inline-formula><mml:math id="M298" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> eddies can accommodate thickness variations with comparatively small changes in <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>, reflecting different modes of potential vorticity adjustment <xref ref-type="bibr" rid="bib1.bibx9" id="paren.60"/>. This behaviour is also consistent with their thermohaline structure: the more energetic eddies not only tend to be thicker, but also exhibit larger core-centre anomalies. We find that most of the eddies with larger thickness are located deeper in the water column (Fig. <xref ref-type="fig" rid="F9"/>d).</p>
      <p id="d2e5383">No eddies were detected after 12 February, the date of the last confirmed detection. Although the DN continued drifting, the velocity measurements became progressively limited due to the sequential failure of the AOFBs, first at L1 (27 February) and later at the Central Observatory (19 March), leaving the sADCP as the only velocity source, which did not reveal any coherent eddy signatures. Meanwhile, the ITPs at L1 and L2 remained operational but did not register additional eddies. By mid-March, after the drift crossed the Gakkel Ridge and transitioned to the Nansen Basin, the mixed layer had deepened markedly (exceeding 150 <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), which likely inhibited the detection of IHEs within the 200 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> vertical range of the remaining ITPs.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Detection of duplicate eddies</title>
      <p id="d2e5418">The study of eddies under sea ice prompts the question of whether the same eddy has been sampled several times. The answer to this question is not trivial; all the different measurements need to be assessed to constrain it. First, the assumption of quasi-synoptic conditions adopted in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/> implies that the eddies cannot move fast enough to pass several sites within the time frame of a single observation period. Second, the eddy size provides an additional constraint: most IHEs observed by <xref ref-type="bibr" rid="bib1.bibx60" id="text.61"/> in the Amundsen Basin had radii of approximately 5 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, consistent with our estimates. Given the spatial separation among the DN sites, L1–L3 <inline-formula><mml:math id="M303" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 32–35 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, L1–CO <inline-formula><mml:math id="M305" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 10–17 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, and L3–CO <inline-formula><mml:math id="M307" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 22–24 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, it is therefore unlikely that the same eddy would be sampled at more than one location, except in the few cases where the drift geometry brought two platforms over the same region within a short time interval. Third, the mean background flow of the Transpolar Drift, about 0.02 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, advects the IHEs at approximately the same speed <xref ref-type="bibr" rid="bib1.bibx60" id="paren.62"/>, further limiting the distance an eddy can travel between consecutive profiles. Although the DN rotated during the drift, its overall configuration and relative distances remained effectively constant throughout the study period (Fig. <xref ref-type="fig" rid="F1"/>b). Therefore, rotation does not alter the spatial separation between sites nor create conditions under which a single eddy could be sampled simultaneously at different locations. In the specific cases of E7 and E9, the CO ADCP detected an eddy shortly before the L2 ITP sampled a similar signal. Because the DN drifted northeastward–southeastward, both platforms consecutively passed over the same region, separated by approximately 9–14 <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, allowing us to conclude that L2 and CO sampled the same eddy. These are the only two eddies detected at L2, and since L2 does not provide velocity measurements, such events represent the only situations in which L2 can be meaningfully compared with CO. Moreover, during the periods when E7 and E9 were observed, no eddy signatures were detected at L1 or L3, further limiting the usefulness of L2 for the multi-site duplicate-detection analysis presented below. We therefore examine possible duplicate detections only for the configurations in which velocity and hydrographic data allow meaningful cross-comparison.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e5513">Drift pathways and cross-track velocity sections for the L-sites from 29 October to 29 November. Panels <bold>(a–c)</bold> correspond to sites L3, CO (<italic>Polarstern</italic>), and L1, respectively. Each panel includes a map on the left showing the drift trajectory of the corresponding site (in dark grey), with the starting point marked by a red symbol and the endpoint by a blue one. The trajectories of the other two sites are shown in light grey for reference. Eddy locations are represented as coloured circles, scaled by their estimated radius and matching the colours used in the left panels. Circles are shown in full colour when the eddy was sampled by the site, and translucent otherwise. The right-hand panels display the cross-track velocity along each site's drift path. Eddies whose cores were crossed are marked with symbols at the top of the panels. When a site passed near the location of a previously detected eddy, this is indicated by a solid-colour segment along the drift path (left panel) and by dashed vertical lines of the same colour in the velocity section (right panel).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f10.png"/>

        </fig>

      <p id="d2e5528">Between 29 October and 29 November 2019, five eddies were observed at different L sites within a relatively short time window, raising the possibility that some of these detections correspond to the same eddy sampled at various stages of its path. Although the distances between sites such as L1 and L3 exceed 30 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> – well beyond the radius of the eddies in the area of <inline-formula><mml:math id="M312" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> – , the temporal coincidence warrants a closer investigation into whether some of these eddies could have drifted between nearby sites, particularly those closer together such as L2 and CO. For instance, L1 and L3 detected an eddy within two days (E3 on October 31 and E2 on 29 October; Fig. <xref ref-type="fig" rid="F10"/>c and a, green and lime circles). Both events fall within the smaller-radius range but exhibit different core characteristics. The sADCP from <italic>Polarstern</italic> (Fig. <xref ref-type="fig" rid="F10"/>b, right panel) shows no velocity signature associated with either eddy during the period marked by the green dashed line. Therefore, the two eddies appear dynamically independent, and the CO site did not intersect the azimuthal circulation of either feature during its drift.  From 15 to 19 November, a storm affected the ice drift, increasing the speed up to 0.4 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F1"/>c) and changing the drifting direction several times (Fig. <xref ref-type="fig" rid="F10"/>, left panels). As a result, the DN platform sampled some sites more than once. Of the three eddies encountered on 4 November (E4), 17 November (E5), and 24 November (E6) (Fig. <xref ref-type="fig" rid="F10"/>, pink, lilac and purple circles), E4 stands out as a well-formed eddy with a strong azimuthal velocity of <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M316" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.20 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F10"/>c, right panel). The periphery of this eddy was also observed at the CO site on November 7 (Fig. <xref ref-type="fig" rid="F10"/>b, right panel, dashed pink line), as confirmed by the drift trajectory of CO passing near the core's edge.  Site L3 recorded two eddies within a week, with centres separated by 6 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. This suggests that both detections correspond to the same eddy, which would have a translation speed of approximately 0.01 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during that period. The thermohaline and kinematic properties support this interpretation (Tables <xref ref-type="table" rid="T2"/> and <xref ref-type="table" rid="T3"/>): the differences between E5 and E6 are minimal (order 0.01 in <inline-formula><mml:math id="M320" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and are consistent with the instruments not sampling the same cross-section of the eddy, which also explains the moderate difference in estimated radius (7.3–5.2 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>). The <inline-formula><mml:math id="M323" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> structure (Fig. <xref ref-type="fig" rid="F12"/>c) confirms that both features share nearly identical core water masses, indicating no appreciable modification of the eddy over the one-week interval. This is expected, as intrahalocline eddies can persist for extended periods. <xref ref-type="bibr" rid="bib1.bibx60" id="text.63"/> report a lifespan of at least 21 months for Eurasian Basin IHEs, and therefore their thermohaline structure is not expected to change substantially on weekly timescales. Although the CO site passed near the region where the eddy was located, no clear azimuthal-velocity anomaly was detected (Fig. <xref ref-type="fig" rid="F10"/>b, purple line), likely due to an earlier partial crossing or an incomplete intersection with the eddy core.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Origin and generation of eddies</title>
      <p id="d2e5715">Unlike temperate seas, the generation and trajectory of eddies cannot be remotely observed beneath Arctic sea ice. Although the western Nansen Basin shows stronger eddy kinetic energy than the interior Eurasian Basin, weaker and less frequent eddies have also been observed in the central Arctic <xref ref-type="bibr" rid="bib1.bibx56" id="paren.64"/>. Literature shows that most of the efforts to categorise Arctic eddies have focused on the differences in the thermohaline properties of their cores. Based on this, eddies have been classified into Canadian water and Eurasian water eddies. In turn, this classification is divided into shallow (<inline-formula><mml:math id="M325" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 80 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) and mid-depth (<inline-formula><mml:math id="M327" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 80 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) core-centre depth, respectively <xref ref-type="bibr" rid="bib1.bibx60" id="paren.65"><named-content content-type="pre">e.g.,</named-content></xref>. The eight eddies found in this study are shallow Eurasian water eddies, containing saltier waters that are less close to the freezing point than those studied by <xref ref-type="bibr" rid="bib1.bibx60" id="author.66"/> and therefore depart from the temperature–salinity relationship reported in that study (Fig. <xref ref-type="fig" rid="F11"/>b).</p>

      <fig id="F11"><label>Figure 11</label><caption><p id="d2e5764"><inline-formula><mml:math id="M329" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagrams. Density contours and freezing temperature (at surface pressure) are shown in grey dashed lines and in blue dashed lines, respectively. Mean profiles of the surrounding water are shown in grey, and the colours represent each eddy up to 90 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth with the core-centre properties shown by the larger markers. <bold>(b)</bold> shows the core-centre <inline-formula><mml:math id="M332" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, and in pink the core-centre values of Eurasian eddies from <xref ref-type="bibr" rid="bib1.bibx60" id="text.67"/>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f11.png"/>

        </fig>

      <p id="d2e5823">The <inline-formula><mml:math id="M334" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagram in Fig. <xref ref-type="fig" rid="F12"/> shows three different characteristic shapes: (i) fluctuant temperature with a smooth “wedge” shape in E8 and E9 (Fig. <xref ref-type="fig" rid="F12"/>a) located approximately within the range of <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.74</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mn mathvariant="normal">33.62</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, (ii) a smoother curve in October (Fig. <xref ref-type="fig" rid="F12"/>b) and (iii) a prominent “wedge” shape in November (Fig. <xref ref-type="fig" rid="F12"/>c) around <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.81</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mn mathvariant="normal">34</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. By “wedge shape,” we refer to a <inline-formula><mml:math id="M343" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math id="M344" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> structure in which temperature decreases toward a local minimum at the eddy core-centre, and then increases again as salinity continues to rise, forming a characteristic concave shape in the diagram. The smooth curve in Fig. <xref ref-type="fig" rid="F12"/>b is the typical <inline-formula><mml:math id="M345" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagram observed in the surface Amundsen Basin water, with the temperature minimum just above the thermocline <xref ref-type="bibr" rid="bib1.bibx42" id="paren.68"/>. It results from advective-convective processes <xref ref-type="bibr" rid="bib1.bibx48" id="paren.69"/>. Following the formation of the winter mixed layer, fresher water originating from the Russian shelves and transported via the Transpolar Drift reaches the freezing point and becomes dense enough to convectively mix with the existing mixed layer <xref ref-type="bibr" rid="bib1.bibx17" id="paren.70"/>. This process generates the cold halocline layer, a key feature of the Nansen Basin surface structure. In summer, meltwater from sea ice accumulates at the surface, stratifying above the cold halocline layer. As freezing resumes in early winter, this freshwater cools to the freezing point and begins to convect into the halocline, forming the distinctive <inline-formula><mml:math id="M347" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> “wedge” shape.</p>

      <fig id="F12"><label>Figure 12</label><caption><p id="d2e6015"><inline-formula><mml:math id="M349" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagrams. Density contours and freezing temperature (at surface pressure) are shown in grey dashed lines and in blue dashed lines, respectively. Mean profiles of the surrounding water are shown in grey, and the colours represent each eddy up to 90 <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth with the core-centre properties shown by the larger markers. Groups of eddies with similar <inline-formula><mml:math id="M352" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> curves indicating different generation processes: <bold>(a)</bold> refreezing and convection, <bold>(b)</bold> advective-convective and c) convective cold halocline.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f12.png"/>

        </fig>

      <p id="d2e6074">Figure <xref ref-type="fig" rid="F12"/>c shows the <inline-formula><mml:math id="M354" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagram arising from a convective cold halocline, resulting from the stratification of summer sea ice meltwater and the remnants of a winter mixed layer <xref ref-type="bibr" rid="bib1.bibx48" id="paren.71"/>. It has the particularity of a prominent wedge, typical of surface conditions in the Nansen Basin during late autumn, when the water column is actively adjusting to the changing surface freshwater input and atmospheric cooling. A similar process occurred inside the eddy (Fig. <xref ref-type="fig" rid="F12"/>a), but the refreezing and convection during winter altered the upper part, making the wedge smoother than in the early winter season <xref ref-type="bibr" rid="bib1.bibx17" id="paren.72"/>. Comparing the <inline-formula><mml:math id="M356" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagram of the eddies with the surrounding water, we find that E1 and E2 have trapped similar water masses, suggesting these eddies were likely formed in the same region. The <inline-formula><mml:math id="M358" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> diagrams of the other eddies have a wedge shape consistent with the typical processes occurring at the surface of the Nansen Basin, which is not seen in the surrounding waters at the time of the observations.</p>
      <p id="d2e6142">Water mass analyses provide valuable insight into the stratification and convective processes that likely precondition the upper ocean before eddy formation and may help infer their possible region of origin. In particular, the presence of cold, fresh anomalies and a sharpened halocline in the eddy cores suggests that local convection during winter, possibly associated with lead refreezing, played a role. Additionally, the geographic location of the eddies – well within the Transpolar Drift path – indicates that they may have formed upstream, in regions influenced by freshwater input from the Siberian shelves. This supports the hypothesis that baroclinic instability, facilitated by strong vertical stratification and preconditioning from prior surface forcing (e.g., convection in leads), is a plausible generation mechanism <xref ref-type="bibr" rid="bib1.bibx3" id="paren.73"/>. Another hypothesis, supported by observations and modelling, suggests that baroclinic instabilities – largely independent from surface conditions due to the persistent stratification – could be the dominant generation mechanism throughout the year <xref ref-type="bibr" rid="bib1.bibx30" id="paren.74"/>. Comparable generation pathways have been documented elsewhere in the Arctic, where jets flowing along topographic gradients or strong shelf–basin density fronts trigger instabilities that form subsurface eddies and intermediate layers <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx43" id="paren.75"/>. Although the central Amundsen Basin lacks the intense boundary-current jets present near the Siberian margin, these studies illustrate how localised shear and preconditioning can seed baroclinic instabilities in strongly stratified Arctic environments, and would favour the hypothesis that some of the eddies we observed formed in the basin near the Siberian continental slope. These mechanisms are not mutually exclusive: thermohaline convection in leads may precondition the water column, creating vertical shear and density structures that enable baroclinic instability. Thus, eddy generation may result from a combination of surface-driven convection and deeper baroclinic adjustment, even in the basin interior.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e6164">This study presents a detailed characterisation of intrahalocline eddies (IHEs) in the Amundsen Basin, based on hydrographic and velocity data collected during wintertime in the MOSAiC expedition. Nine well-defined anticyclonic eddies were identified, corresponding to eight distinct intrahalocline eddies, one of which was sampled twice, with radii of <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M361" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.09 <inline-formula><mml:math id="M362" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4 <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and thicknesses ranging from 23 to 80 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, all exhibiting solid-body rotation. The thermohaline properties of the water masses trapped within their cores allowed us to infer pre-existing stratification conditions, providing insight into the environmental background from which these eddies formed.</p>
      <p id="d2e6208">Our results show that IHEs locally alter the vertical stratification, shoaling the mixed layer by over 10 <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and affecting the stability of the halocline. Their horizontal and vertical scales, together with Rossby numbers in the range <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.16</mml:mn><mml:mo>&lt;</mml:mo><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>, place them within a transitional dynamic regime between meso- and submesoscale, consistent with quasi-geostrophic dynamics. Applying the Maximum Swirl Velocity (MSV) method resulted in radius estimates that were on average 1.7 <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (25 %) larger than those obtained using simpler transect-based methods. This correction is relevant because underestimating eddy size can lead to significant misinterpretation of their transport capacity, energy content, and dynamical role, particularly in under-ice conditions where spatial sampling is sparse.</p>
      <p id="d2e6243">The consistent presence of cold and fresh anomalies in the eddy cores suggests that local convection and/or baroclinic instability may play a role in their formation. Future studies would benefit from higher-resolution (2–3 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) spatially distributed autonomous observations capable of resolving the typical 6 <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> radius of intrahalocline eddies and allowing repeated sampling of individual features, in order to advance our understanding of the role of intrahalocline eddies in central Arctic Ocean dynamics, stratification, and the lateral transport of heat and freshwater.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Supplementary figures for all identified eddies</title>
      <p id="d2e6273">This appendix presents the diagnostic figures for the remaining intrahalocline eddies (E1–E7), following the same notation and structure as in the main text. Figure <xref ref-type="fig" rid="FA1"/> shows the eddy-centre detection using the MSV method. Figures. <xref ref-type="fig" rid="FA2"/> and <xref ref-type="fig" rid="FA3"/> provide the thermohaline and velocity cross-sections, and Figs. <xref ref-type="fig" rid="FA4"/> and <xref ref-type="fig" rid="FA5"/> show the vertical profiles of temperature, salinity, density, and velocity for each eddy.</p><fig id="FA1"><label>Figure A1</label><caption><p id="d2e6288">Velocity vectors of the eddies at the depth of maximum velocity. The grey area shows the grid used for the detection of the eddy centre, the red dot shows the estimated eddy centre using the methodology of <xref ref-type="bibr" rid="bib1.bibx33" id="text.76"/>, the orange dot is the maximum azimuthal velocity (<inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) location and the orange line show the distance between the location of the absolute smallest azimuthal velocity (centre of the eddy) and <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>. The blue circle marks the inner part of the eddy.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f13.png"/>

      </fig>

<fig id="FA2"><label>Figure A2</label><caption><p id="d2e6328"><bold>(a)</bold> Cross sections of conservative temperature (<inline-formula><mml:math id="M372" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) and <bold>(b)</bold> absolute salinity (<inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) with isopycnals shown as black contours spaced every 0.25 <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; red and cyan contours indicate the upper and lower limits of the eddies, respectively, and the dashed vertical red line marks the central eddy profile. <bold>(f)</bold> Cross section of azimuthal velocity <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with velocity contours in grey every 0.05 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The green dotted line indicates the depth of maximum velocity. The dotted vertical light grey lines in <bold>(a)</bold>, <bold>(b)</bold> and <bold>(f)</bold> marker the measurement profiles, where the darker lines are the profiles inside the eddy in Fig. <xref ref-type="fig" rid="FA4"/>.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f14.png"/>

      </fig>

<fig id="FA3"><label>Figure A3</label><caption><p id="d2e6431"><bold>(a)</bold> Cross sections of conservative temperature (<inline-formula><mml:math id="M377" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) and <bold>(b)</bold> absolute salinity (<inline-formula><mml:math id="M378" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) with isopycnals shown as black contours spaced every 0.25 <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; red and cyan contours indicate the upper and lower limits of the eddies, respectively, and the dashed vertical red line marks the central eddy profile. <bold>(f)</bold> Cross section of azimuthal velocity <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with velocity contours in grey every 0.05 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The green dotted line indicates the depth of maximum velocity. The dotted vertical light grey lines in <bold>(a)</bold>, <bold>(b)</bold> and <bold>(f)</bold> marker the measurement profiles, where the darker lines are the profiles inside the eddy in Fig. <xref ref-type="fig" rid="FA5"/>.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f15.png"/>

      </fig>

<fig id="FA4"><label>Figure A4</label><caption><p id="d2e6534">Vertical profiles of density (<inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(a)</bold>, absolute salinity (<inline-formula><mml:math id="M383" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <bold>(b)</bold>, buoyancy frequency (<inline-formula><mml:math id="M384" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>) <bold>(c)</bold>, conservative temperature (<inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) <bold>(d)</bold>, and azimuthal velocity (<inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(e)</bold>. The red line shows the central profile, and the grey line shows the mean profiles at <inline-formula><mml:math id="M387" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> around the eddy, marked as dotted vertical light grey lines in Fig. <xref ref-type="fig" rid="FA2"/>. Dashed horizontal lines show the top (red), the bottom (cyan), the maximum azimuthal velocity level (green) and the eddy core-centre depth (orange).</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f16.png"/>

      </fig>

<fig id="FA5"><label>Figure A5</label><caption><p id="d2e6636">Vertical profiles of density (<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(a)</bold>, absolute salinity (<inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <bold>(b)</bold>, buoyancy frequency (<inline-formula><mml:math id="M391" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>) <bold>(c)</bold>, conservative temperature (<inline-formula><mml:math id="M392" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) <bold>(d)</bold>, and azimuthal velocity (<inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(e)</bold>. The red line shows the central profile, and the grey line shows the mean profiles at <inline-formula><mml:math id="M394" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> around the eddy, marked as dotted vertical light grey lines in Fig. <xref ref-type="fig" rid="FA3"/>. Dashed horizontal lines show the top (red), the bottom (cyan), the maximum azimuthal velocity level (green) and the eddy core-centre depth (orange).</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/305/2026/os-22-305-2026-f17.png"/>

      </fig>

</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e6738">All datasets used in this study are publicly available, in compliance with the MOSAiC data policy. CTD Polarstern: <xref ref-type="bibr" rid="bib1.bibx52" id="text.77"/> (<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.959963" ext-link-type="DOI">10.1594/PANGAEA.959963</ext-link>); ITPs: <xref ref-type="bibr" rid="bib1.bibx54" id="text.78"/> (<ext-link xlink:href="https://doi.org/10.7289/v5mw2f7x" ext-link-type="DOI">10.7289/v5mw2f7x</ext-link>); AOFBs: <xref ref-type="bibr" rid="bib1.bibx46" id="text.79"/> (<ext-link xlink:href="https://doi.org/10.18739/A26W96B3T" ext-link-type="DOI">10.18739/A26W96B3T</ext-link>); ADCP Polarstern: <xref ref-type="bibr" rid="bib1.bibx51" id="text.80"/> (<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.916092" ext-link-type="DOI">10.1594/PANGAEA.916092</ext-link>).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e6771">AQ, BR, CW and IK: conceptualisation of the study. Data processing: AQ, with assistance from BR and CW. Formal analysis: AQ with interactions from all co-authors. Preparation of the manuscript: all co-authors reviewed the manuscript and contributed to the writing and final editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e6778">At least one of the (co-)authors is a member of the editorial board of <italic>Ocean Science</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e6787">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="d2e6793">The authors thank all persons involved in the expedition of the Research Vessel Polarstern during MOSAiC in 2019–2020 (AWI_PS122_00) as listed in the general MOSAiC acknowledgement <xref ref-type="bibr" rid="bib1.bibx35" id="paren.81"/>. Language editing assistance was provided using ChatGPT (OpenAI).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e6802">This research has been supported by the international Multidisciplinary drifting Observatory for the Study of the Arctic Climate (MOSAiC) with the tag MOSAiC20192020 (grant nos. AWI_PS122_00 and AFMOSAiC-1_00); the Alfred-Wegener-Institut Helmholtz-Zentrum für Polar- und Meeresforschung (Bremerhaven, Germany) through the Multidisciplinary Icebased Drifting Observatory (MIDO) infrastructure, the project AWI_OCEAN, and the project Sub-Mesoscale Dynamics and Nutrients (SMEDYN) within the INternational Science Program for Integrative Research in Earth Systems (INSPIRES); the EPICA project under the research theme MARE:N – Polarforschung/MOSAiC, funded by the German Federal Ministry for Education and Research (grant no. 03F0889A); the European Commission (EU H2020 grant no. 101003472, project Arctic PASSION); and the AROMA (Arctic Ocean mixing processes and vertical fluxes of energy and matter) project funded by the Research Council of Norway (grant no. 294396). Parts of this work were funded by the German Federal Ministry for Education and Research (BMBF) and the Federal Ministry of Research, Technology and Space (BMFTR) as part of a German Academic Exchange Service (DAAD) project “Internal  waves, frontal processe, vertical fluxes of heat/ salt in Arctic Ocean”  (grant no. 57748842). The article processing charges for this open-access  publication were covered by the Alfred-Wegener-Institut  Helmholtz-Zentrum für Polar- und Meeresforschung.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e6815">This paper was edited by Meric Srokosz and reviewed by two anonymous referees.</p>
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