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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-22-1711-2026</article-id><title-group><article-title>Response of the Nordic Seas to the 2–6 February 2020 marine cold air outbreak in the GLORYS12 ocean reanalysis</article-title><alt-title>Response of the Nordic Seas to the 2–6 February 2020 marine cold air outbreak</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Chripko</surname><given-names>Svenya</given-names></name>
          <email>svenya.chripko@uib.no</email>
        <ext-link>https://orcid.org/0009-0003-6882-0304</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Spengler</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1747-6385</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Semper</surname><given-names>Stefanie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1083-4642</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Våge</surname><given-names>Kjetil</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7478-8510</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Geophysical Institute, University of Bergen and Bjerknes Centre for Climate Research, Bergen, Norway</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Svenya Chripko (svenya.chripko@uib.no)</corresp></author-notes><pub-date><day>29</day><month>May</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>3</issue>
      <fpage>1711</fpage><lpage>1726</lpage>
      <history>
        <date date-type="received"><day>6</day><month>October</month><year>2025</year></date>
           <date date-type="rev-request"><day>15</day><month>October</month><year>2025</year></date>
           <date date-type="rev-recd"><day>28</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>9</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Svenya Chripko et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026.html">This article is available from https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e104">Marine Cold Air Outbreaks (MCAOs) play a crucial role in wintertime water mass transformation in the Nordic Seas. However, due to the spatio-temporal variability of atmospheric forcing and lateral ocean transport, the processes by which MCAOs influence the ocean remain unclear. Using the global eddy-resolving ocean and sea ice reanalysis GLORYS12, we investigate the mechanisms driving the ocean response over different regions of the Nordic Seas to the particularly intense 2–6 February 2020 MCAO event. To assess the impact of the MCAO on the ocean, we quantify the contributions of the mean surface turbulent heat flux relative to the mean change in ocean heat content during the event. The western part of the Nordic Seas (Greenland Sea and northern interior Iceland Sea) was primarily affected by the air–sea heat exchanges, with an overall mixed-layer cooling of approximately 0.02 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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 the event in the interior Greenland Sea and a deepening of more than 30 <inline-formula><mml:math id="M2" 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">d</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 some areas. In the eastern part (Norwegian Sea), on the other hand, the air–sea heat exchanges were masked by stronger lateral oceanic heat transport, with a cooling or warming of an order of magnitude higher. In the interior part of the northern Iceland Sea, the mixed-layer depth increased by approximately 5 <inline-formula><mml:math id="M3" 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">d</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 it decreased near the boundary current in the western Iceland Sea by approximately 8 <inline-formula><mml:math id="M4" 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">d</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>. GLORYS12 generally provides consistent results with observational studies from the Iceland and Greenland Seas during MCAOs, highlighting the large spatial variability in the ocean mixed-layer response to a single MCAO event in the Nordic Seas.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>European Commission</funding-source>
<award-id>101088452</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="d2e186">The Nordic Seas (Greenland, Iceland, and Norwegian Seas; Fig. <xref ref-type="fig" rid="F1"/>) play an important role in global heat transport and the Atlantic meridional overturning circulation <xref ref-type="bibr" rid="bib1.bibx6" id="paren.1"><named-content content-type="pre">AMOC;</named-content></xref>, with warm saline Atlantic surface waters entering the eastern part of the Nordic Seas that are progressively transformed into cold, dense Atlantic-origin Water due to strong air–sea heat loss <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx50 bib1.bibx25" id="paren.2"/>. This water mass then flows southward within the East Greenland Current <xref ref-type="bibr" rid="bib1.bibx17" id="paren.3"><named-content content-type="pre">EGC;</named-content></xref> and feeds the lower limb of the AMOC when exported as dense overflow water through Denmark Strait, one of the gaps in the Greenland-Scotland Ridge <xref ref-type="bibr" rid="bib1.bibx33" id="paren.4"/>. Another contribution to the Denmark Strait overflow is Arctic-origin Water, which is produced through buoyancy fluxes yielding wintertime open-ocean convection in the interior Greenland and Iceland Seas <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx28 bib1.bibx52" id="paren.5"/>. Water mass transformation in the Nordic Seas is thus highly dependent on atmospheric forcing, with 60 %–80 % of the air–sea heat exchange occurring during few but intense marine cold air outbreaks <xref ref-type="bibr" rid="bib1.bibx34" id="paren.6"><named-content content-type="pre">MCAOs;</named-content></xref>. While the heat loss during MCAOs has a crucial impact on the ocean mixed layer in the Nordic Seas <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx19 bib1.bibx47" id="paren.7"/>, the local impact of the MCAO surface forcing can be offset by lateral advection in the ocean. To further explore these complexities, we use the high-resolution Mercator Ocean global oceanic and sea ice GLORYS12 reanalysis <xref ref-type="bibr" rid="bib1.bibx26" id="paren.8"/> and quantify the oceanic response in the Nordic Seas to the intense MCAO event 2–6 February 2020 during the COMBLE campaign <xref ref-type="bibr" rid="bib1.bibx13" id="paren.9"/>.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e226">Schematic of the Nordic Seas (Greenland, Iceland, and Norwegian Seas) illustrating the bathymetry (blue shading) and the main currents (arrows). The red arrows indicate warm and salty surface Atlantic waters entering the Nordic Seas, while the green arrows indicate colder and denser waters. The currents in the Norwegian Sea and near the Norwegian coast are, respectively, the Norwegian Atlantic Current (NAC, slope and frontal branches) and the Norwegian Coastal Current (NCC). The East Greenland Current (EGC) is situated in the western part of the Greenland and Iceland Seas and leaves the Nordic Seas through Denmark Strait. The North Icelandic Irminger Current (NIIC) flows eastward along the north Icelandic coast. The two thick black lines indicate the defined Greenland 75° N (16° W–0° E) and Iceland Sea 71° N (21–10° W) sections.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026-f01.png"/>

      </fig>

      <p id="d2e235">MCAOs are wintertime weather events, where polar air masses are advected from sea ice or cold land surfaces towards the relatively warmer open ocean <xref ref-type="bibr" rid="bib1.bibx34" id="paren.10"/>. They are the manifestation of a prolonged period of atmospheric thermal instability, in which large amounts of heat are extracted from the ocean and transferred to the atmospheric boundary layer. This leads to atmospheric mixing and the typical convective cloud streets <xref ref-type="bibr" rid="bib1.bibx13" id="paren.11"><named-content content-type="pre">see</named-content><named-content content-type="post">and references therein</named-content></xref>. MCAOs can be modulated by orographically-driven mesoscale wind systems such as barrier or katabatic winds <xref ref-type="bibr" rid="bib1.bibx15" id="paren.12"/>, or by polar lows formed at the sea ice edge <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx13" id="paren.13"/>. MCAO events typically last 2–4 d in the Iceland Sea and Fram Strait region, with some of them occasionally reaching lifetimes of more than a week <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx48" id="paren.14"/>. The largest air–sea turbulent heat fluxes generally occur rapidly after the onset of MCAOs, with mean values reaching approximately 300 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> within the first 6 h <xref ref-type="bibr" rid="bib1.bibx34" id="paren.15"/>.</p>
      <p id="d2e279">Ocean observations have been used to analyze the effects of seasonal or interannual variations of surface heat fluxes on the ocean mixed layer in the Irminger Sea <xref ref-type="bibr" rid="bib1.bibx49" id="paren.16"/>, Greenland and Iceland Seas <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx52 bib1.bibx53" id="paren.17"/>, and Norwegian Sea <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx42 bib1.bibx22" id="paren.18"/>. More recent studies have also investigated the impact of specific MCAO events and found that the response of the mixed-layer depth (MLD) to MCAOs is strongly dependent on the timing of the events, with early winter events mainly cooling the mixed layer, while late winter events mainly deepen the mixed layer <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx44" id="paren.19"/>. <xref ref-type="bibr" rid="bib1.bibx19" id="text.20"/> and <xref ref-type="bibr" rid="bib1.bibx40" id="text.21"/> focused on a single MCAO in the Iceland Sea in early 2018 <xref ref-type="bibr" rid="bib1.bibx38" id="paren.22"/>, highlighting a strong spatial variability in the oceanic response, with mixed-layer cooling in the interior of the Iceland Sea and mixed-layer warming in the boundary current region. The former was mainly attributable to atmospheric forcing, whereas the latter was hypothesized to be due to lateral advection of the warm Atlantic-origin Water <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx40" id="paren.23"/>. We further disentangle the highlighted spatial variability in the oceanic response to one specific intense MCAO event in the Nordic Seas using the GLORYS12 reanalysis.</p>
      <p id="d2e308">The GLORYS12 reanalysis performs well in representing the physical ocean state at an eddy-rich resolution <xref ref-type="bibr" rid="bib1.bibx26" id="paren.24"/>, with approximately 5 km horizontal resolution in the Nordic Seas. The reanalysis is forced by the European Centre for Medium-Range Weather Forecast (ECMWF) global atmospheric reanalysis ERA5 at the surface <xref ref-type="bibr" rid="bib1.bibx18" id="paren.25"/>, which resolves relevant meteorological phenomena, such as MCAOs and polar lows, at an unprecedented level <xref ref-type="bibr" rid="bib1.bibx30" id="paren.26"/>. The GLORYS12 reanalysis thus provides an opportunity to develop an understanding of the mesoscale impacts of MCAOs on the ocean mixed layer in the different regions of the Nordic Seas. Our focus is on the extreme winter season 2020 <xref ref-type="bibr" rid="bib1.bibx8" id="paren.27"/>, using the 2–6 February 2020 MCAO event. This specific MCAO event represents one of the two strongest February events in terms of daily peak intensity for the period 1979–2020 in the Fram Strait region <xref ref-type="bibr" rid="bib1.bibx8" id="paren.28"/>. It was also detected at the Bear Island and Andenes observational sites deployed during the COMBLE campaign <xref ref-type="bibr" rid="bib1.bibx13" id="paren.29"/> and affected the entire Nordic Seas.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Atmosphere and ocean reanalyses</title>
      <p id="d2e345">We investigate the MCAO from 31 January 2020 until 6 February 2020. For the atmosphere, we use the European Center for Medium-Range Weather Forecasts (ECMWF) global reanalysis ERA5 <xref ref-type="bibr" rid="bib1.bibx18" id="paren.30"/>, with a 0.25° grid resolution. We use hourly output for sea level pressure, surface temperature, 10 m wind, as well as 850 hPa temperature and wind, and calculate daily mean surface fluxes from 3 hourly outputs for surface sensible and latent heat flux as well as net surface shortwave and longwave radiations. ERA5 has been shown to perform well over the ice-free ocean in the Iceland and Greenland Seas, though surface temperature, wind speed, and sensible heat flux are less accurate over the marginal ice zone <xref ref-type="bibr" rid="bib1.bibx39" id="paren.31"/>. The wind speed in ERA5 during the MCAO is consistent with the observed wind speed in the eastern Nordic Seas during the COMBLE campaign <xref ref-type="bibr" rid="bib1.bibx13" id="paren.32"><named-content content-type="pre">see supplement in</named-content></xref>.</p>
      <p id="d2e359">To analyze the ocean response to the MCAO, we use the Mercator Ocean global eddy-resolving reanalysis GLORYS12 <xref ref-type="bibr" rid="bib1.bibx26" id="paren.33"/>, which has a <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula>° horizontal resolution (around 5 km in the Nordic Seas) and 50 vertical levels. GLORYS12 covers the period 1993 onward and is based on the NEMO ocean and sea ice model <xref ref-type="bibr" rid="bib1.bibx27" id="paren.34"/>. The model is forced at the surface by the ECMWF ERA-Interim atmospheric reanalysis <xref ref-type="bibr" rid="bib1.bibx9" id="paren.35"/> and ERA5 from 2019. GLORYS12 assimilates sea level, sea surface temperature, sea ice concentration, as well as temperature and salinity vertical profiles (<uri>https://documentation.marine.copernicus.eu/PUM/CMEMS-GLO-PUM-001-030.pdf</uri>, last access: 18 May 2026). We use daily mean three-dimensional potential temperature, practical salinity, northward and eastward ocean current velocity, and the two-dimensional mixed-layer depth (MLD) as well as sea ice concentration (SIC). The MLD in GLORYS12 is defined as the depth where the density increase, compared to 10 m depth, corresponds to a temperature decrease of <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (<uri>https://documentation.marine.copernicus.eu/PUM/CMEMS-GLO-PUM-001-030.pdf</uri>, last access: 18 May 2026). We compute the Conservative Temperature, Absolute Salinity, and potential density referenced to the surface following the TEOS-10 standard <xref ref-type="bibr" rid="bib1.bibx21" id="paren.36"/>. If not specified, “temperature”, “salinity”, and “density” hereafter refer to “Conservative Temperature”, “Absolute Salinity”, and “potential density”, respectively.</p>
      <p id="d2e413">GLORYS12 performs well for the low-frequency variability of sea ice extent <xref ref-type="bibr" rid="bib1.bibx26" id="paren.37"/>, the interannual variability of hydrographic properties in the Irminger Sea <xref ref-type="bibr" rid="bib1.bibx45" id="paren.38"/>, and the long-term mean current structure in the North Atlantic <xref ref-type="bibr" rid="bib1.bibx54" id="paren.39"/> and Nordic Seas <xref ref-type="bibr" rid="bib1.bibx20" id="paren.40"/>. <xref ref-type="bibr" rid="bib1.bibx20" id="text.41"/> found a small offset of 0.02 <inline-formula><mml:math id="M8" 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> between the 2005–2018 mean current velocities in GLORYS12 and observations for the Norwegian Atlantic Current and East Greenland Current, comparing depth-means until 1000 m depth. GLORYS12 also shows good agreement with observations regarding water masses and volume transport in the Nordic Seas <xref ref-type="bibr" rid="bib1.bibx2" id="paren.42"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>MCAO index</title>
      <p id="d2e460">To characterize the spatial and temporal evolution of the MCAO and its intensity, we calculate the instantaneous MCAO index defined as the potential temperature difference between the ocean surface and the air at 850 hPa, <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mtext>SST</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mn mathvariant="normal">850</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx24 bib1.bibx36 bib1.bibx37 bib1.bibx30" id="paren.43"/>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Ocean heat budget and contribution of surface heat fluxes</title>
      <p id="d2e497">We calculate the ocean heat content (<inline-formula><mml:math id="M10" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>) between the surface and the ocean bottom, using:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M11" display="block"><mml:mrow><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mtext>bot</mml:mtext></mml:msub></mml:mrow><mml:mn mathvariant="normal">0</mml:mn></mml:munderover><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the constant heat capacity of seawater, <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>bot</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> the ocean bottom depth, <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> the Conservative Temperature, and <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> the in-situ density. The local tendency, <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>, integrated over one day <inline-formula><mml:math id="M17" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>, represents the daily change in the column-averaged ocean heat content (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∫</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi>d</mml:mi></mml:msubsup><mml:mo>∂</mml:mo><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi>t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>). Note that we integrate the ocean heat content in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) down to the ocean bottom to simplify the heat budget conservation equation as in <xref ref-type="bibr" rid="bib1.bibx41" id="text.44"/> or <xref ref-type="bibr" rid="bib1.bibx1" id="text.45"/>:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M19" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mtext>SFC</mml:mtext><mml:mo>+</mml:mo><mml:mtext>CONV</mml:mtext><mml:mo>+</mml:mo><mml:mtext>RES</mml:mtext><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where SFC is the upward total net surface heat flux and CONV is the ocean heat flux convergence due to lateral advection processes. Vertical advection terms cancel out when integrating to the ocean bottom. SFC is the sum of the upward net shortwave and longwave radiation flux <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>RAD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> together with the upward net surface turbulent heat flux <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>THF</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The contribution of <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>RAD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is negligible compared to <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>THF</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (not shown) and the total net surface heat flux is mainly explained by the net surface turbulent heat flux. RES is a residual term, including a contribution from horizontal diffusive processes and inaccuracies due to data assimilation.</p>
      <p id="d2e729">To isolate the direct impact of the MCAO surface forcing on the ocean properties during the 5 d of the event, we calculate the ratio (<inline-formula><mml:math id="M24" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) between the 5 d mean surface turbulent heat flux penetrating the ocean <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mtext>THF</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the 5 d mean ocean heat content change for the duration of the MCAO, in the Nordic Seas. A ratio <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> indicates that surface heat fluxes contribute more or less exclusively to the ocean heat content change, i.e., we consider the MCAO to have a significant impact on the ocean mixed-layer properties. A ratio <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> indicates that other processes are counteracting the contribution of surface heat fluxes and if <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>≤</mml:mo><mml:mi>r</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, surface heat fluxes are not strong enough to explain the ocean heat content change and other processes contribute to changes in <inline-formula><mml:math id="M29" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>. A negative ratio <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, on the other hand, indicates that surface heat fluxes have the opposite sign compared to changes in <inline-formula><mml:math id="M31" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>, indicating that changes in <inline-formula><mml:math id="M32" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> are dominated by other processes. As introduced in Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>), we assume that other processes are mainly associated with lateral ocean heat advection due to ocean currents and eddies.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Atmospheric and sea ice conditions during the MCAO</title>
      <p id="d2e837">On 31 January 2020, prior to the MCAO, the synoptic situation was characterised by strong north-northeasterly surface winds along the sea ice edge east of Greenland and a low in the Norwegian Sea (Fig. <xref ref-type="fig" rid="F2"/>a). At 850 hPa, the wind field was similar in the Iceland Sea, but significantly weaker in Fram Strait (Fig. <xref ref-type="fig" rid="F2"/>c). The polar low existed until 1 February (not shown) and was detected in northern Norway during the COMBLE campaign <xref ref-type="bibr" rid="bib1.bibx13" id="paren.46"/>. The strong winds along the east Greenland sea ice edge were accompanied by large upward surface heat fluxes (Fig. <xref ref-type="fig" rid="F2"/>a), dominated by sensible heat fluxes along the sea ice edge (Fig. <xref ref-type="fig" rid="F2"/>b). The cold northerlies behind the low were probably associated with favorable conditions for the development of the MCAO (Fig. <xref ref-type="fig" rid="F2"/>c).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e856">Synoptic situation during the MCAO in ERA5. <bold>(a, d, g)</bold>: total surface heat flux in shading (latent, sensible, longwave and shortwave radiation, <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), sea level pressure in blue contours (970–1015 hPa every 5 hPa), 10 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>-wind vector in black. <bold>(b, e, h)</bold>: sensible heat flux in shading and latent heat flux in thick purple contours at 0, 100, and 200 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The 500, 1000, 2000, and 3000 m isobaths are shown as thin black contours. <bold>(c, f, i)</bold>: temperature at 850 hPa in shading (<inline-formula><mml:math id="M36" 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>; the thin grey dotted line indicates the 0 <inline-formula><mml:math id="M37" 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> contour), wind vector at 850 hPa, and MCAO index in orange contours (<inline-formula><mml:math id="M38" 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>). The first row corresponds to 31 January 2020 (before MCAO), the second row to 3 February 2020 (peak MCAO), and the last row to 6 February 2020 (last day MCAO). Every quantity is instantaneous at 12:00 UTC, except the heat fluxes which are averaged over the considered day. The magenta contour line corresponds to the sea ice edge at 15 % sea ice concentration in GLORYS12.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026-f02.jpg"/>

      </fig>

      <p id="d2e947">On 3 February, the wind shifted to north-westerlies, especially in the northern part of the Nordic Seas, both at the surface (Fig. <xref ref-type="fig" rid="F2"/>d) and 850 hPa (Fig. <xref ref-type="fig" rid="F2"/>f). These conditions were responsible for extremely strong heat fluxes from the ocean to the atmosphere, reaching around 600 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on 31 January (Fig. <xref ref-type="fig" rid="F2"/>a) and locally more than 1000 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on 3 February (Fig. <xref ref-type="fig" rid="F2"/>d) in Fram Strait, with the largest contribution from sensible heat fluxes (Fig. <xref ref-type="fig" rid="F2"/>e). According to <xref ref-type="bibr" rid="bib1.bibx34" id="text.47"/>, this MCAO event classifies as a “very strong” intensity event, with the MCAO index reaching more than 20 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the Fram Strait region, approximately 15 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the Greenland Sea, and below 10 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the Iceland and Norwegian Seas, and with temperatures at 850 hPa varying from <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">34</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in these areas (Fig. <xref ref-type="fig" rid="F2"/>f). We hence consider this day as the peak of the 2–6 February MCAO event, with the highest surface fluxes and MCAO index (not shown). The wind conditions were rather stable from the onset on 2 February until 5 February, with a larger extraction of sensible heat compared to latent heat, especially in the region off the sea ice edge, where the air–sea temperature contrast was largest (not shown).</p>
      <p id="d2e1064">On 6 February, the last day of the MCAO, the flow was perturbed by a cyclone over the Iceland Sea (Fig. <xref ref-type="fig" rid="F2"/>g), with the wind changing direction, advecting a warmer air mass from the south across the south-western part of the Nordic Seas (Fig. <xref ref-type="fig" rid="F2"/>i). In the north-eastern part, remnants of the northwesterlies were still associated with a moderate MCAO index (<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F2"/>i) and strong surface fluxes (300–450 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F2"/>g).</p>
      <p id="d2e1109">This particularly intense MCAO not only affected the ocean–atmosphere heat exchanges over the Nordic Seas, but also impacted the sea ice distribution. During the event, the sea ice edge around Greenland expanded noticeably offshore (Figs. <xref ref-type="fig" rid="F2"/>a, d, g and <xref ref-type="fig" rid="F4"/>), with a maximum extent on 4–5 February, followed by a slight retreat (not shown). The sea ice volume also increased along the sea ice edge, but decreased near the coastline of Greenland (Fig. S1 in the Supplement), likely indicating a combination of south-eastward sea ice advection and sea ice formation at the edge. A large sea ice protrusion formed around 73° N–11° W (Fig. <xref ref-type="fig" rid="F2"/>d and g), and was present from 2–9 February in GLORYS12 (not present in observations, not shown). Hence, sea ice formation, melting, and advection might have occurred concurrently and affected the ocean mixed-layer properties locally during the MCAO event. However, we here focus on the impact of the air–sea heat exchange on the ocean during the event.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Ocean response to the MCAO</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Ocean mixed-layer changes over the Nordic Seas</title>
      <p id="d2e1133">Prior to the event, the Nordic Seas were characterized by west–east gradients in surface temperature, salinity, and density, with colder, less saline, and denser water masses west of the Jan Mayen, Mohn, and Knipovich Ridges (31 January 2020, Figs. <xref ref-type="fig" rid="F3"/>a–c and <xref ref-type="fig" rid="F1"/>). An exception is found along the Norwegian shelf, where the mixed layer was less saline, due to fresh water (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">34.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><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:mrow></mml:math></inline-formula>) transported northward by the Norwegian Coastal Current <xref ref-type="bibr" rid="bib1.bibx12" id="paren.48"><named-content content-type="post">Fig. <xref ref-type="fig" rid="F1"/></named-content></xref>. The Icelandic coast is another exception, where warmer and more saline surface waters are carried poleward by the North Icelandic Irminger Current <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx43" id="paren.49"/>. The deepest mixed layers were found in the Greenland Sea, exceeding depths of 800 m two days before the MCAO (Fig. <xref ref-type="fig" rid="F3"/>d). This is consistent with the range of observed MLDs since 2000, when convection has been found to take place at intermediate depth in this region <xref ref-type="bibr" rid="bib1.bibx46" id="paren.50"/>. The main currents in the Nordic Seas (Fig. <xref ref-type="fig" rid="F1"/>) are clearly visible during the MCAO in the GLORYS12 reanalysis (Fig. <xref ref-type="fig" rid="F3"/>e): the Norwegian Atlantic Front Current, Norwegian Atlantic Slope Current, Norwegian Coastal Current, West Spitsbergen Current, and EGC.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1184">Surface ocean conditions before the MCAO (31 January 2020) and mean ocean dynamics during the MCAO. <bold>(a)</bold> Surface Conservative Temperature (<inline-formula><mml:math id="M49" 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>), <bold>(b)</bold> surface Absolute Salinity (<inline-formula><mml:math id="M50" 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>(c)</bold> surface potential density (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><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:mrow></mml:math></inline-formula>), and <bold>(d)</bold> mixed-layer depth (m) before the MCAO (31 January 2020). <bold>(e)</bold> Mean surface sea water velocity (<inline-formula><mml:math id="M52" 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>) during the MCAO (2 February 2020–6 February 2020). The 500, 1000, 2000, and 3000 m isobaths are shown as thin black contours. The magenta line in panels <bold>(a–d)</bold> corresponds to the sea ice edge at 15 % sea ice concentration. The magenta and cyan lines in panel <bold>(e)</bold> correspond to the sea ice edges during the first (2 February 2020) and last (6 February 2020) MCAO days, respectively. The two sections in black in panel <bold>(e)</bold> show the defined Greenland Sea 75° N (16° W–0° E) and Iceland Sea 71° N (21–10° W) sections.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026-f03.jpg"/>

        </fig>

      <p id="d2e1286">The ocean surface properties in the Nordic Seas changed markedly during the MCAO between 31 January 2020 and 6 February 2020 (Fig. <xref ref-type="fig" rid="F4"/>), with the largest changes generally occurring during the peak of the event (not shown). Consistent with the strong surface heat loss (Fig. <xref ref-type="fig" rid="F2"/>d and g), the surface layer generally cooled in the Nordic Seas during the event (Fig. <xref ref-type="fig" rid="F4"/>a). There was significant spatial variability, with, for example, a cooling of approximately 0.1 <inline-formula><mml:math id="M53" 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 0.4 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the western and eastern Greenland Sea, respectively. The cooling locally even exceeded 1.0 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in regions with strong ocean currents, such as the West Spitsbergen Current, the EGC north of approximately 74° N, the Jan Mayen Current, and some parts of the Norwegian Atlantic and Coastal Currents. Several areas, on the other hand, featured a significant warming, exceeding 1.0 <inline-formula><mml:math id="M56" 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> along some of the currents and westward of the sea ice pack forming during the event (Fig. <xref ref-type="fig" rid="F4"/>a).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1341">Difference in surface ocean conditions between the end-MCAO (6 February 2020) and pre-MCAO (31 January 2020) conditions. <bold>(a)</bold> Surface Conservative Temperature difference (<inline-formula><mml:math id="M57" 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>), <bold>(b)</bold> surface Absolute Salinity difference (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><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:mrow></mml:math></inline-formula>), <bold>(c)</bold> surface potential density difference (<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula>), and <bold>(d)</bold> mixed-layer depth difference (m). The 500, 1000, 2000, and 3000 m isobaths are shown as thin green contours. The magenta and dashed cyan lines, respectively, correspond to the end-MCAO and pre-MCAO sea ice edges at 15 % sea ice concentration. Note the non-linear scale in panels <bold>(a–c)</bold>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026-f04.jpg"/>

        </fig>

      <p id="d2e1430">Changes in surface salinity were spatially more variable compared to changes in temperature (compare Fig. <xref ref-type="fig" rid="F4"/>a and b). While there was an increase in salinity in the western part of the interior Greenland Sea (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula>), there was a decrease in the eastern part (approximately 0.01 <inline-formula><mml:math id="M61" 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>). The interior of the Iceland Sea became more saline (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.025</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><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:mrow></mml:math></inline-formula>), while the sign of the changes was very variable in the Iceland Sea near the sea ice edge. Similarly to the temperature changes, the magnitude of changes in salinity were very large for regions with strong currents (Fig. <xref ref-type="fig" rid="F4"/>b). Below the sea ice surrounding Greenland, salinity strongly increased, consistent with an increase in sea ice volume (Fig. S1). This was also the case in the area of the ice pack formed during the event (compare magenta and cyan lines in Fig. <xref ref-type="fig" rid="F4"/>). On the other hand, surface waters generally became less saline closer to the sea ice edge, where sea ice has expanded into the interior Greenland Sea. From 70–74° N, this is consistent with sea ice volume partly decreasing close to the Greenland coastline (Fig. S1). From approximately 74° N to farther north, the decrease in salinity is, however, linked to the south-eastward extension of Polar Surface Water below the newly formed sea ice (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS3.SSS1"/>).</p>
      <p id="d2e1505">In line with the overall temperature decrease, the surface density generally increased during the MCAO over the open ocean (Fig. <xref ref-type="fig" rid="F4"/>c). The increase varies from approximately 0.015 <inline-formula><mml:math id="M63" 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> in the Greenland Sea, to approximately 0.03 <inline-formula><mml:math id="M64" 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> in the north-eastern Nordic Seas, exceeding 0.04 <inline-formula><mml:math id="M65" 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> in the interior of the Iceland Sea, and even exceeding 0.05 <inline-formula><mml:math id="M66" 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> in regions with strong currents and around the formation of the ice pack. The density changes in the interior of the Iceland Sea are more likely dominated by changes in salinity (Fig. S2), congruent with the higher latent heat fluxes compared to the sensible heat fluxes (Fig. <xref ref-type="fig" rid="F2"/>e), though due to the strong wind the changes could also be related to mixing with higher salinity waters below. Below sea ice, the density increase and decrease are also closely linked to changes in salinity (compare Fig. <xref ref-type="fig" rid="F4"/>b and c; see Fig. S2).</p>
      <p id="d2e1583">Concurrently with the overall densification of the surface waters away from the sea ice edge, the mixed layer generally deepened within the Nordic Seas during the MCAO. The largest changes occurred in the Greenland Sea, with more than 200 m (i.e., more than 30 <inline-formula><mml:math id="M67" 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">d</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="F4"/>d). In the interior of the Iceland Sea (east of the Kolbeinsey Ridge, Fig. <xref ref-type="fig" rid="F1"/>), the MLD increased by more than 100 m in some areas, while it decreased up to 60 m in the region near the sea ice edge (west of the Kolbeinsey Ridge). The strong mixed-layer deepening in the Greenland Sea is consistent with the MLD increase observed in this region during MCAOs in late winter for the period 1999–2009 <xref ref-type="bibr" rid="bib1.bibx47" id="paren.51"><named-content content-type="pre">38 <inline-formula><mml:math id="M68" 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">d</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>,</named-content></xref>.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Contribution of surface heat fluxes</title>
      <p id="d2e1637">In agreement with the ocean changes in surface temperature and density, the response in ocean heat content was generally larger in regions with strong currents or eddies (Figs. <xref ref-type="fig" rid="F5"/>b and <xref ref-type="fig" rid="F3"/>e). The largest contrast in the ocean heat content change, reaching an order of magnitude, was between the western part of the Nordic Seas (Greenland and Iceland Seas) and both the northern and eastern parts (Fram Strait and Norwegian Sea). The largest changes in the eastern and northern parts were due to lateral heat transport associated with strong currents and associated eddies (Norwegian Sea and West Spitsbergen Current, Figs. <xref ref-type="fig" rid="F5"/>c and <xref ref-type="fig" rid="F3"/>e).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1650">Contribution of the surface turbulent heat flux to the mean ocean heat content tendency during the MCAO. <bold>(a)</bold> Mean downward surface turbulent heat flux (<inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and <bold>(b)</bold> mean ocean heat content tendency (<inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) during the MCAO (2 February 2020–6 February 2020). <bold>(c)</bold> Difference between the mean ocean heat content tendency and the mean downward surface turbulent heat flux, which corresponds to the mean ocean heat flux convergence (lateral advection) during the MCAO. <bold>(d)</bold> Ratio between the mean downward surface turbulent heat flux and the mean ocean heat content tendency during the MCAO. A ratio near 1 or larger (red colors) indicates areas where the MCAO contributes the most to the ocean heat content variations during the event (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/> for a more detailed description of this ratio). The 500, 1000, 2000, and 3000 m isobaths are shown as thin black contours. The cyan and magenta lines correspond to the sea ice edges (15 % sea ice concentration) during the first (2 February 2020) and last (6 February 2020) MCAO days, respectively. Note the non-linear scale in panels <bold>(a–c)</bold>. The two thick black lines in panel <bold>(d)</bold> show the defined Greenland 75° N (16° W–0° E) and Iceland Sea 71° N (21–10° W) sections.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026-f05.jpg"/>

        </fig>

      <p id="d2e1714">The 5 d mean ocean heat content tendency for the MCAO event is approximately 600 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the Greenland Sea (e.g., around 75° N), which is approximately twice as much as the ocean heat loss in the Iceland Sea (e.g., around 71 and 69° N, Fig. <xref ref-type="fig" rid="F5"/>b). This difference is consistent with the distribution of total surface heat fluxes for these two regions, with significantly higher surface fluxes in the Greenland Sea (Fig. <xref ref-type="fig" rid="F5"/>a).</p>
      <p id="d2e1739">The loss of ocean heat content in the western part of the Nordic Seas is largely attributable to the surface turbulent heat loss associated with the MCAO (ratio largely between 0.8 and 2.0, Fig. <xref ref-type="fig" rid="F5"/>d), in contrast to the eastern part and along the EGC and the West Spitsbergen Current, where lateral ocean heat transport dominates the changes in ocean heat content (ratio around 0 or negative, Fig. <xref ref-type="fig" rid="F5"/>d and c). Both surface heat exchange and lateral heat transport explain the changes in ocean heat content in Fram Strait and in the southern Iceland Sea south of 70° N (more variable ratio with negative and positive values, Fig. <xref ref-type="fig" rid="F5"/>d).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Vertical structure of the ocean response in the Greenland and Iceland Seas</title>
      <p id="d2e1756">We focus on the ocean mixed-layer response to the MCAO in the Greenland Sea and in the northern Iceland Sea, where we have shown that the MCAO has a direct effect on the mixed-layer properties away from sea ice and the EGC. In the Greenland Sea, we select a section across the east Greenland shelf, slope, and basin at 75° N, which is commonly used for hydrographic and geochemical observations <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx23 bib1.bibx32" id="paren.52"/>. In the Iceland Sea, we select a section at 71° N, as in <xref ref-type="bibr" rid="bib1.bibx17" id="text.53"/> and <xref ref-type="bibr" rid="bib1.bibx53" id="text.54"/>. Farther south, the effect of the MCAO surface forcing on the ocean is masked by lateral heat transport (cf. Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>), with currents branching offshore off the EGC. Indeed, the East Icelandic Current is branching off the EGC at around 70° N <xref ref-type="bibr" rid="bib1.bibx4" id="paren.55"/> and there is a bifurcation into the shelfbreak EGC and the separated EGC at around 69° N <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx17" id="paren.56"><named-content content-type="post">see Fig. <xref ref-type="fig" rid="F3"/>e</named-content></xref>.</p>
<sec id="Ch1.S4.SS3.SSS1">
  <label>4.3.1</label><title>Greenland Sea</title>
      <p id="d2e1788">Two days before the MCAO, both Polar Surface Water and Atlantic-origin Water at 75° N were transported southward within the EGC (Figs. <xref ref-type="fig" rid="F6"/>a, d and S3). The Polar Surface Water was covered by sea ice on the Greenland shelf, while the Atlantic-origin Water was ventilated offshore off the sea ice edge. The ventilation of the Atlantic-origin Water along east Greenland is a recent phenomenon that has so far only been observed in the western Iceland Sea due to the retreat of the sea ice edge <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx19" id="paren.57"/>.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1798">Vertical cross-sections at 75° N in the Greenland Sea (cf. black line in Fig. <xref ref-type="fig" rid="F1"/>). <bold>(a)</bold> Conservative Temperature (<inline-formula><mml:math id="M72" 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>) before the MCAO (31 January 2020), <bold>(b)</bold> during the last day (6 February 2020), and <bold>(c)</bold> their difference. <bold>(d)</bold> Absolute Salinity (<inline-formula><mml:math id="M73" 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>) before the MCAO (31 January 2020), <bold>(e)</bold> during the last day (6 February 2020), and <bold>(f)</bold> their difference. Note the non-linear scale in all panels. The thin black contours in panels <bold>(a, b, d, e)</bold> correspond to the density contours on the considered day, while in <bold>(c, f)</bold> they correspond to the density contours during the last day (6 February 2020). The thick black lines in panels <bold>(a, b, d, e)</bold> indicate the mixed-layer depth on the considered day, while thick blue and red lines in panels <bold>(c)</bold> and <bold>(f)</bold> indicate the mixed-layer depth before the MCAO (31 January 2020) and during the last day (6 February 2020), respectively. The magenta lines indicate areas where the ocean surface is covered by at least 15 % sea ice concentration during the considered day in panels <bold>(a, b, d, e)</bold>, and during the last day in <bold>(c, f)</bold>.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026-f06.jpg"/>

          </fig>

      <p id="d2e1877">The mixed layer was shallower (approximately 50 m) along the EGC and deeper (300–600 m) at the offshore edge of the Atlantic-origin Water towards the interior of the Greenland Sea (Fig. <xref ref-type="fig" rid="F6"/>a and d). Between 5° W and 0° E, in the eastern part of the basin, surface waters were warmer and more saline compared to the surface waters in the western part (see also Fig. <xref ref-type="fig" rid="F3"/>a and b).</p>
      <p id="d2e1885">At the end of the MCAO event, and after the sea ice extent had reached its maximum (see Sects. <xref ref-type="sec" rid="Ch1.S3"/> and <xref ref-type="sec" rid="Ch1.S4.SS1"/>), the Polar Surface Water extended farther offshore below the newly formed sea ice, preventing Atlantic-origin Water from reaching the surface (Fig. <xref ref-type="fig" rid="F6"/>b and e). This explains the strong decrease in temperature (exceeding 0.5 <inline-formula><mml:math id="M74" 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 (exceeding 0.1 <inline-formula><mml:math id="M75" 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>) near the surface in the area where sea ice has expanded (Fig. <xref ref-type="fig" rid="F6"/>c and f). This effect is most likely occurring from 74° N northward below the sea ice in the Greenland Sea (Fig. <xref ref-type="fig" rid="F4"/>a and b), as discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>. This result also suggests that, prior to the MCAO, ventilation of the Atlantic-origin Water occurred in the Greenland Sea along much of the EGC.</p>
      <p id="d2e1928">In the interior Greenland Sea, just offshore of the sea ice edge on the last day of the MCAO, the mixed layer cooled by approximately 0.05–0.2 <inline-formula><mml:math id="M76" 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> over 6 d. This is directly related to the air–sea heat loss during the MCAO event (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>), with the mixed-layer depth increasing by up to 300 m over 6 d (Fig. <xref ref-type="fig" rid="F6"/>). In the western part of the basin, the mixed-layer salinity increased (reaching 0.01 <inline-formula><mml:math id="M77" 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>) while it decreased (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula>) in the eastern part (Fig. <xref ref-type="fig" rid="F4"/>b). This is related to the mixing of saline and warm surface waters present in the eastern part, with less saline and colder waters just below (Fig. <xref ref-type="fig" rid="F6"/>b, c, e, and f).</p>
      <p id="d2e1990">We note some discrepancies in the eastern part of the basin between the MLD and the temperature and salinity profiles (Fig. <xref ref-type="fig" rid="F6"/>a, b, d, and e), as well as with the density profiles (Fig. S4a and b). The MLD calculation method used in GLORYS12 (based on a change in density with a temperature decrease of <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>; cf. Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>) has also been applied to observed hydrographic profiles in the Iceland and Greenland Seas; though a manual inspection was often more accurate <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx3" id="paren.58"/>. Other comparisons to in-situ observations showed that the MLD in GLORYS12 performed well in the Irminger Sea <xref ref-type="bibr" rid="bib1.bibx45" id="paren.59"/>, but was underestimated around the Kerguelen Plateau <xref ref-type="bibr" rid="bib1.bibx10" id="paren.60"/>.</p>
      <p id="d2e2027">In some areas of the Greenland Sea eastward of 5° W, GLORYS12 overestimated the MLD by approximately 100–200 m (Fig. <xref ref-type="fig" rid="F6"/>a, b, d, and e; Fig. S4a and b). For example, based on the hydrographic profiles, the MLD before the MCAO should have been located above the warming and increase in salinity occurring at 400 m depth (blue line, Fig. <xref ref-type="fig" rid="F6"/>c and f), whereas the MLD at the end of the MCAO should have been located below (red line, Fig. <xref ref-type="fig" rid="F6"/>c and f). However, both the MLD before and at the end of the MCAO are located at greater depth than these changes. These discrepancies between the MLD and the hydrographic profiles were not present in the Iceland Sea (cf. Sect. <xref ref-type="sec" rid="Ch1.S4.SS3.SSS2"/>).</p>
</sec>
<sec id="Ch1.S4.SS3.SSS2">
  <label>4.3.2</label><title>Iceland Sea</title>
      <p id="d2e2046">Similarly to the Greenland Sea, fresh and cold Polar Surface Water resided below the sea ice in the boundary current region of the Iceland Sea prior to the MCAO (Fig. <xref ref-type="fig" rid="F7"/>a and d). However, at 71° N, the Atlantic-origin Water along the EGC (Fig. S3) did not reach the surface and was confined below the shallow mixed layer (approximately 25–80 m deep). This water mass was also warmer and more saline than in the Greenland Sea. Toward the interior of the Iceland Sea, the mixed layer became progressively warmer, more saline, and deeper (approximately 100–170 m deep).</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2053">Vertical cross-sections at 71° N in the Iceland Sea (cf. black line in Fig. <xref ref-type="fig" rid="F1"/>). <bold>(a)</bold> Conservative Temperature (<inline-formula><mml:math id="M80" 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>) before the MCAO (31 January 2020), <bold>(b)</bold> during the last day (6 February 2020), and <bold>(c)</bold> their difference. <bold>(d)</bold> Absolute Salinity (<inline-formula><mml:math id="M81" 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>) before the MCAO (31 January 2020), <bold>(e)</bold> during the last day (6 February 2020) and <bold>(f)</bold> their difference. Note the non-linear scale in panels <bold>(c, f)</bold>. The thin black contours in panels <bold>(a, b, d, e)</bold> correspond to the density contours on the considered day, while in <bold>(c, f)</bold> they correspond to the density contours during the last day (6 February 2020). The thick black lines in panels <bold>(a, b, d, e)</bold> indicate the mixed-layer depth on the considered day, while thick blue and red lines in panels <bold>(c)</bold> and <bold>(f)</bold> indicate the mixed-layer depth before the MCAO (31 January 2020) and during the last day (6 February 2020), respectively. The magenta lines indicate areas where the ocean surface is covered by at least 15 % sea ice concentration during the considered day in panels <bold>(a, b, d, e)</bold>, and during the last day in <bold>(c, f)</bold>.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/22/1711/2026/os-22-1711-2026-f07.jpg"/>

          </fig>

      <p id="d2e2135">At the end of the MCAO, the Polar Surface Water extended farther offshore, also linked to the sea ice expansion (Fig. <xref ref-type="fig" rid="F7"/>b and e). At the offshore edge of the sea ice and below the mixed layer, there was a shoaling of the Atlantic-origin Water. The mixed layer became even shallower in this boundary current region (approximately 25–80 m before and 25 m deep after the MCAO). This effect was evident up to about 16.5° W, where the Kolbeinsey Ridge is situated, marking the transition between the boundary current region to the west and the interior region to the east. In the interior Iceland Sea, the mixed layer slightly deepened by up to 30 m over the 6 d. The transition between the boundary current region and the interior coincides with the dividing line of <xref ref-type="bibr" rid="bib1.bibx40" id="text.61"/> (see their Fig. 9).</p>
      <p id="d2e2144">Even if we identified two distinct changes in the MLD for this MCAO for the boundary current and interior regions, the mixed layer cooled and became more saline in both regions offshore of the sea ice edge (Fig. <xref ref-type="fig" rid="F7"/>c and f). This is consistent with the air–sea heat loss resulting from the MCAO (see Fig. <xref ref-type="fig" rid="F5"/>d). An exception to the general cooling and salinification occurred in the boundary current region at approximately 17° W, where the mixed layer cooled more than elsewhere and freshened (Fig. <xref ref-type="fig" rid="F7"/>c and f), likely due to oceanic eddy activity (Fig. S3e). Apart from this area, the mixed-layer temperature decreased by approximately 0.05–0.2 <inline-formula><mml:math id="M82" 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> over the 6 d in the Iceland Sea (Fig. <xref ref-type="fig" rid="F7"/>c and f), similarly to the Greenland Sea. The salinity increased by approximately 0.002–0.2 <inline-formula><mml:math id="M83" 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> within the interior Iceland Sea (Fig. <xref ref-type="fig" rid="F7"/>c and f). The spatial variability in the mixed-layer response in temperature and salinity is hence large, both within the boundary current region itself, as well as within the interior region. In the boundary current region, lateral heat transport due to strong currents and eddies played a dominant role in the change of the mixed-layer properties during the MCAO (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/> and Fig. <xref ref-type="fig" rid="F5"/>). The decrease in the mixed-layer depth in this region as well as the shoaling of the Atlantic-origin Water seemed to occur concomitantly with a cyclonic activity in the atmosphere centered around the region and starting at the end of the event (Fig. <xref ref-type="fig" rid="F2"/>g).</p>
      <p id="d2e2191">The ocean mixed-layer response to this MCAO event differs from the 28 February–13 March 2018 MCAO event, with <xref ref-type="bibr" rid="bib1.bibx40" id="text.62"/> observing a warming of the mixed layer in the boundary current region as well as a slightly deeper mixed layer after the MCAO. They attributed this warming to turbulent mixing with the warm Atlantic-origin Water that was laterally fluxed offshore from the EGC <xref ref-type="bibr" rid="bib1.bibx19" id="paren.63"><named-content content-type="pre">as hypothesized by</named-content></xref>. In contrast, we diagnose a shoaling of the Atlantic-origin Water and the mixed layer in the boundary current region, linked to a warming at the location where the mixed layer has shoaled. However, this warming remained confined below the new shallower mixed layer, with the mixed-layer cooling at around 17.5° W in the boundary current region due to air–sea heat loss. Concurrently, the Polar Surface Water was below the sea ice in our case and moved farther offshore with sea ice expansion during the event, while the Polar Surface Water was displaced onshore in <xref ref-type="bibr" rid="bib1.bibx19" id="text.64"/>. Both, the different configurations of sea ice and water masses in the initial state of these two specific MCAO events, as well as large spatial variations in surface fluxes and lateral heat transport, most likely explain these different responses in the mixed layer.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e2216">We used the high-resolution ocean reanalysis GLORYS12 to quantify the ocean mixed-layer response to an intense 5 d MCAO event in the Nordic Seas from 2–6 February 2020. In general, the ocean mixed layer in the Nordic Seas became cooler, denser, and deeper throughout the MCAO event, while changes in salinity were spatially more variable. Quantifying the contribution of the air–sea heat loss in the ocean heat budget with respect to lateral oceanic heat transport, we found that the ocean mixed-layer response in the interior of the Greenland and northern Iceland Seas was dominated by air–sea exchange. In regions of the Nordic Seas where strong ocean currents and eddies are resolved in the reanalysis, however, lateral oceanic heat transport dominated the mixed-layer response. This effect is observed in the eastern Nordic Seas over the Norwegian Atlantic Current and over parts of the EGC that are located offshore of the sea ice edge in the Iceland Sea. Changes in sea ice within the marginal ice zone and along its edge align with enhanced variations in the mixed-layer response that were not directly attributable to the air–sea heat exchange.</p>
      <p id="d2e2219">In particular, we found opposite mixed-layer depth changes in the interior of the Iceland Sea and near the sea ice edge, at 71° N. Atlantic-origin Water was situated offshore off the sea ice edge in the boundary current region of the Iceland Sea, westward of the Kolbeinsey Ridge. These waters shoaled during the MCAO event, and the mixed-layer depth decreased in this area, which was not linked to the MCAO. In the interior of the Iceland Sea at 71° N, as for the Greenland Sea at 75° N, the mixed-layer depth notably increased. The newly formed mixed layers in both the interior and the boundary parts along the 71° N Iceland Sea section, as well as along the 75° N Greenland Sea section, became cooler, which can largely be attributed to the air–sea heat loss during the MCAO event.</p>
      <p id="d2e2222">Our analysis also revealed that ventilation of Atlantic-origin Water took place over a large part of the EGC in the Greenland Sea before the MCAO event. This phenomenon is facilitated by recent sea ice retreat that potentially yields an increase in convection in the area due to enhanced air–sea heat loss <xref ref-type="bibr" rid="bib1.bibx53" id="paren.65"/>. The 2–6 February MCAO, however, promoted an offshore expansion of the sea ice cover in the Greenland Sea, preventing ventilation during the event.</p>
      <p id="d2e2228">As MCAOs have a significant effect on wintertime water mass transformation in the Nordic Seas and hence the global ocean circulation, it is crucial to understand the processes that drive the spatio-temporal variability in the oceanic response to MCAOs in this region. Our results highlight the large spatial variability in the ocean mixed-layer response to a single MCAO event in the Nordic Seas. The variability stems from the complex interaction between the atmospheric forcing and the lateral ocean heat transport in conjunction with the initial ocean stratification and sea ice conditions. Although further comparison with observations is needed to assess the reliability of GLORYS12 in the Nordic Seas, this high-resolution ocean reanalysis can shed new light on the impact of MCAOs on water mass transformation in the region in a three-dimensional and time evolving spatio-temporal coverage that observations cannot provide, highlighting the differences between regions with eddies and currents and those regions without.</p>
</sec>

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

      <p id="d2e2235">The ERA5 and GLORYS12 datasets used in this study are available at <ext-link xlink:href="https://doi.org/10.24381/cds.adbb2d47" ext-link-type="DOI">10.24381/cds.adbb2d47</ext-link> <xref ref-type="bibr" rid="bib1.bibx7" id="paren.66"/> and <uri>https://data.marine.copernicus.eu/product/GLOBAL_MULTIYEAR_PHY_001_030/services</uri> (last access: 18 May 2026), respectively. The data were analyzed using Python (<uri>https://www.python.org/</uri>, last access: 18 May 2026) and the GSW-Python TEOS-10 routines, developed  by <xref ref-type="bibr" rid="bib1.bibx29" id="text.67"/>. The codes used for processing data and making figures is available upon request.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e2253">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/os-22-1711-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/os-22-1711-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2262">SC analyzed the data and all authors contributed to writing the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2268">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e2274">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="d2e2280">We thank Ian Renfrew (University of East Anglia) and Anna-Marie Strehl (University of Bergen) for valuable comments on this work and insightful discussions.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2285">This research has been supported by the RCN project ARCLINK (Svenya Chripko and Thomas Spengler) and the European Union under the ERC Grant Agreement 101088452 (ROVER: Stefanie Semper and Kjetil Våge).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2291">This paper was edited by Agnieszka Beszczynska-Möller and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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