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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">TC</journal-id><journal-title-group>
    <journal-title>The Cryosphere</journal-title>
    <abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1994-0424</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/tc-17-2681-2023</article-id><title-group><article-title>Southern Ocean polynyas and dense water formation in a high-resolution, coupled Earth system model</article-title><alt-title>Antarctic dense water formation</alt-title>
      </title-group><?xmltex \runningtitle{Antarctic dense water formation}?><?xmltex \runningauthor{H.~Jeong~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Jeong</surname><given-names>Hyein</given-names></name>
          <email>hijeong820310@gmail.com</email>
        <ext-link>https://orcid.org/0000-0002-2235-7188</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Turner</surname><given-names>Adrian K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6796-4187</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Roberts</surname><given-names>Andrew F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0394-8396</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Veneziani</surname><given-names>Milena</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9977-4599</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Price</surname><given-names>Stephen F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6878-2553</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Asay-Davis</surname><given-names>Xylar S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1990-892X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Van Roekel</surname><given-names>Luke P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1418-5686</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Lin</surname><given-names>Wuyin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Caldwell</surname><given-names>Peter M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Park</surname><given-names>Hyo-Seok</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wolfe</surname><given-names>Jonathan D.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Mametjanov</surname><given-names>Azamat</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Ocean and Atmospheric Sciences (IOAS), Hanyang University, Ansan, South Korea</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Ocean Science and Technology, Hanyang University, Ansan, South Korea</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Los Alamos National Laboratory, Los Alamos, New Mexico, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Brookhaven National Laboratory, Upton, New York, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Lawrence Livermore National Laboratory, Livermore, California, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Argonne National Laboratory, Lemont, Illinois, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Hyein Jeong (hijeong820310@gmail.com)</corresp></author-notes><pub-date><day>11</day><month>July</month><year>2023</year></pub-date>
      
      <volume>17</volume>
      <issue>7</issue>
      <fpage>2681</fpage><lpage>2700</lpage>
      <history>
        <date date-type="received"><day>27</day><month>June</month><year>2022</year></date>
           <date date-type="accepted"><day>12</day><month>June</month><year>2023</year></date>
           <date date-type="rev-recd"><day>21</day><month>April</month><year>2023</year></date>
           <date date-type="rev-request"><day>17</day><month>August</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</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://tc.copernicus.org/articles/.html">This article is available from https://tc.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e216">Antarctic coastal polynyas produce dense shelf water, a primary source of Antarctic Bottom Water that contributes to the global overturning
circulation. This paper investigates Antarctic dense water formation in the high-resolution version of the Energy Exascale Earth System Model
(E3SM-HR). The model is able to reproduce the main Antarctic coastal polynyas, although the polynyas are smaller in area compared to
observations. E3SM-HR also simulates several occurrences of open-ocean polynyas (OOPs) in the Weddell Sea at a higher rate than what the last
50 years of the satellite sea ice observational record suggests, but similarly to other high-resolution Earth system model simulations. Furthermore,
the densest water masses in the model are formed within the OOPs rather than on the continental shelf as is typically observed. Biases related to
the lack of dense water formation on the continental shelf are associated with overly strong atmospheric polar easterlies, which lead to a strong
Antarctic Slope Front and too little exchange between on- and off-continental shelf water masses. Strong polar easterlies also produce excessive
southward Ekman transport, causing a build-up of sea ice over the continental shelf and enhanced ice melting in the summer season. This, in turn,
produces water masses on the continental shelf that are overly fresh and less dense relative to observations. Our results indicate that high
resolution alone is insufficient for models to properly reproduce Antarctic dense water; the large-scale polar atmospheric circulation around
Antarctica must also be accurately simulated.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Biological and Environmental Research</funding-source>
<award-id>Energy Exascale Earth System Model (E3SM) project</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <?pagebreak page2682?><p id="d1e228">Coastal polynyas are areas of ice-free surface water or thin, newly formed sea ice surrounded by coastline, ice shelves, or consolidated, thick sea
ice <xref ref-type="bibr" rid="bib1.bibx32" id="paren.1"/>. They form by divergent sea ice motion, in turn driven by strong katabatic winds and oceanic currents, and are often
associated with coastal features that block the advection of sea ice from upstream of the polynyas <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx83 bib1.bibx75" id="paren.2"/>. Although small in area compared to the total sea ice zone (<inline-formula><mml:math id="M1" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 3 %; <xref ref-type="bibr" rid="bib1.bibx61" id="altparen.3"/>),
these coastal polynyas play an important role in the climate by (i) transporting heat from the ocean to the atmosphere and thereby affecting mesoscale
atmospheric motion <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx45" id="paren.4"/>, (ii) strongly modifying water masses through brine rejection resulting from high rates
of surface cooling and sea ice production <xref ref-type="bibr" rid="bib1.bibx83" id="paren.5"/>, and (iii) impacting the biogeochemical cycle
<xref ref-type="bibr" rid="bib1.bibx66" id="paren.6"/>. Point (ii) is a key direct mechanism of cold dense shelf water (DSW) formation, which leads to the formation of Antarctic
Bottom Water (AABW) by downslope transport and mixing with ambient water masses on the continental slope <xref ref-type="bibr" rid="bib1.bibx82" id="paren.7"/>. AABW
production is a key element of the Earth's climate system <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx29 bib1.bibx41 bib1.bibx82" id="paren.8"/> as AABW is an important sink for carbon dioxide and heat from the atmosphere <xref ref-type="bibr" rid="bib1.bibx63" id="paren.9"/>. In contrast to
coastal polynyas, open-ocean polynyas (OOPs) occur far from the coast in the middle of the sea ice pack in winter. These polynyas are observed in
conjunction with deep convection events in the ocean that lead to direct interaction between relatively warm and salty mid-depth waters and surface
ocean waters, which in turn prevents sea ice from forming <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx20" id="paren.10"/>.</p>
      <p id="d1e269">Due to logistical difficulties associated with in situ observation, sea ice production in polynyas and its interannual to decadal variability are not
well understood or characterized <xref ref-type="bibr" rid="bib1.bibx50" id="paren.11"/>. Therefore, methods to estimate sea ice production over large scales have been developed
using heat flux calculations based on satellite microwave radiometer observations <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx74 bib1.bibx47 bib1.bibx50" id="paren.12"/>. Through the mapping of coastal polynyas and sea ice production around Antarctica, it has been suggested
that a strong link exists between sea ice production and bottom water formation and its variability <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx50" id="paren.13"/>.</p>
      <p id="d1e281">The link between sea ice production and bottom water formation is the result of DSW flowing across the continental shelf break downstream of high sea
ice production regions (e.g., coastal polynyas). That is, when water masses on the continental shelf are cold and salty due to dense water formation
and shallow convection, a “dense shelf” condition is established <xref ref-type="bibr" rid="bib1.bibx78" id="paren.14"/>. In this situation, which typically occurs in the
western Weddell Sea and the eastern Ross Sea, DSW can be exported to become bottom water after mixing with ambient water masses on the continental
slope during its descent. The dense shelf condition is associated with a westward-flowing Antarctic Slope Current (ASC; a coherent circulation feature
that rings the Antarctic continental shelf) and a distinctive V-shaped isopycnal frontal structure <xref ref-type="bibr" rid="bib1.bibx81" id="paren.15"/>, enabling onshore
transport of Circumpolar Deep Water (CDW) and export of DSW underneath the V-shaped front. The V-shaped frontal structure is considered to be critical
for water mass modification to occur on the continental slope and in setting the correct properties of AABW that accommodates both the onshore
transport of CDW <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx15" id="paren.16"/> and the export of DSW <xref ref-type="bibr" rid="bib1.bibx78" id="paren.17"/>. In addition to the dense shelf type,
<xref ref-type="bibr" rid="bib1.bibx78" id="text.18"/> defined two more Antarctic continental shelf types, the “fresh” and “warm” shelves. A fresh shelf, typically present
in the East Antarctic sector, is characterized by strong easterly winds at the coast and offshore, which produce onshore Ekman transport and
downwelling, leading to low salinity on the shelf. These processes establish downward-sloping isopycnals against the continental slope and a surface-intensified front that manifests itself as a strong westward-flowing ASC. The stratification associated with fresh shelves is such that warm and
saline CDW is prevented from flowing onto the shelf <xref ref-type="bibr" rid="bib1.bibx78" id="paren.19"/>. A warm shelf, typical for the West Antarctic sector, is instead
characterized by slightly upward-sloping isopycnals, which enable easier onshore transport of warm, intermediate-depth CDW.</p>
      <p id="d1e303">Numerical general circulation models (GCMs) with low horizontal resolution, such as the ones used in Intergovernmental Panel on Climate Change (IPCC)
assessment studies, have a difficult time  reproducing the Antarctic system processes described above. For example, low resolution does not allow
explicitly resolving coastal polynyas because of their small areal extent <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx32" id="paren.20"/>. As a result, many
low-resolution GCMs create AABW through excessive open-ocean deep convection rather than through the processes associated with coastal polynyas
<xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx4 bib1.bibx2" id="paren.21"/>.  Another challenging feature to represent in low-resolution GCMs is the ASC (and
associated cross-shelf hydrography) due to inadequate resolution of the steep topography of the Antarctic continental shelf slope
<xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx78 bib1.bibx40" id="paren.22"/>. Modeling studies with regional, high-resolution ocean–sea ice models and
a prescribed atmosphere have also been conducted. For example, sea ice processes and DSW formation have been investigated in the Mertz Glacier polynya
<xref ref-type="bibr" rid="bib1.bibx42" id="paren.23"/>, Ronne Ice Shelf polynya <xref ref-type="bibr" rid="bib1.bibx3" id="paren.24"/>, along the East Antarctic coast <xref ref-type="bibr" rid="bib1.bibx32" id="paren.25"/>, and in the
Prydz, Adélie, Ross, and Weddell Sea <xref ref-type="bibr" rid="bib1.bibx65" id="paren.26"/> using atmospherically forced coupled ocean–sea ice models. However, these models tend to
simulate larger coastal ice production due to the lack of sensible and latent heat flux transferred from the ocean back to the atmosphere, suggesting
that fully coupled modeling is needed in addition to high resolution.</p>
      <p id="d1e329">In this study, we assess the representation of both coastal polynyas and OOPs, as well as investigating the formation of dense water masses in each
polynya type, using the recently developed US Department of Energy variable-resolution, fully coupled Earth system model (ESM), the Energy Exascale
Earth System Model (E3SM; <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx57 bib1.bibx58 bib1.bibx35" id="altparen.27"/>). In particular, we utilize the
high-resolution, fully coupled version of E3SM (E3SM-HR; <xref ref-type="bibr" rid="bib1.bibx6" id="altparen.28"/>), which was run with the purpose of participating in the
High-Resolution Intercomparison Project (HighResMIP v1.0) for CMIP6 <xref ref-type="bibr" rid="bib1.bibx23" id="paren.29"/>.  The paper is organized as follows. In
Sect. <xref ref-type="sec" rid="Ch1.S2"/>, we briefly describe E3SM and the reference datasets used for model validation. In
Sect. <xref ref-type="sec" rid="Ch1.S3"/>, we analyze the representation of Antarctic coastal polynyas and OOPs compared to available
observational datasets. Section <xref ref-type="sec" rid="Ch1.S4"/> investigates water mass formation in both polynya types, and in Sects. <xref ref-type="sec" rid="Ch1.S5"/>
and <xref ref-type="sec" rid="Ch1.S6"/>, we present a discussion, summary, and conclusions from this study.</p>
</sec>
<?pagebreak page2683?><sec id="Ch1.S2">
  <label>2</label><title>Data and methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>The Energy Exascale Earth System Model</title>
      <p id="d1e367">For this study, we use both the high- and low-resolution versions of E3SM v1 (E3SM-HR and E3SM-LR, respectively): these simulations are fully coupled
and are run with greenhouse gas conditions in the atmosphere that are fixed at 1950 levels. E3SM v1 consists of atmosphere, land, river, ocean, and
sea ice components communicating via a flux coupler (cpl7; <xref ref-type="bibr" rid="bib1.bibx10" id="altparen.30"/>). The atmospheric component, the E3SM Atmospheric Model
(EAM; <xref ref-type="bibr" rid="bib1.bibx84 bib1.bibx58 bib1.bibx18 bib1.bibx6" id="altparen.31"/>), uses a spectral-element atmospheric dynamical core
<xref ref-type="bibr" rid="bib1.bibx6" id="paren.32"/>. The land component is the E3SM Land Model (ELM), which is a slightly revised version of the Community Land Model version 4.5
(CLM4.5; <xref ref-type="bibr" rid="bib1.bibx18" id="altparen.33"/>). The river component is the newly developed Model for Scale Adaptive River Transport
(MOSART; <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx38 bib1.bibx18" id="altparen.34"/>). The ocean and sea ice components of E3SM v1 are based on the Model for Prediction
Across Scale (MPAS) modeling framework <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx57" id="paren.35"/> and share the same unstructured, horizontal grid. The vertical
grid of the ocean model is a structured, <inline-formula><mml:math id="M2" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>-star coordinate <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx59" id="paren.36"/>. While E3SM-HR does not use the Gent–McWilliams
(GM; <xref ref-type="bibr" rid="bib1.bibx17" id="altparen.37"/>) mesoscale eddy parameterization, E3SM-LR does, with a constant GM bolus eddy diffusivity of
1800 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><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>. A more detailed description of the E3SM v1 ocean and sea ice components is available in <xref ref-type="bibr" rid="bib1.bibx57" id="text.38"/> and
<xref ref-type="bibr" rid="bib1.bibx79" id="text.39"/>, respectively. To identify the effect of model resolution on simulation results, we use the same tuning parameters on both
high- and low-resolution E3SM simulations, as described in <xref ref-type="bibr" rid="bib1.bibx6" id="text.40"/>.</p>
      <p id="d1e432">Table <xref ref-type="table" rid="Ch1.T1"/> describes the horizontal and vertical resolution for each model component. The atmosphere and land models share the same
horizontal grid, having 25 and 110 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> horizontal spacing for E3SM-HR and E3SM-LR, respectively. The atmospheric model uses a hybrid,
sigma-pressure coordinate with 72 vertical layers and a top of the atmosphere at approximately 60 <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> for both the high- and low-resolution
configurations. The land model uses 15 vertical levels for both simulations. For E3SM-HR, the ocean–sea ice mesh features a horizontal resolution
varying between 18 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at the Equator and 6 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> near the poles and 80 ocean vertical levels with spacing ranging between 2 <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> at
the surface and <inline-formula><mml:math id="M9" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150 <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> at depth, following <xref ref-type="bibr" rid="bib1.bibx70" id="text.41"/>, to resolve the first and second baroclinic modes in the open
ocean. For E3SM-LR, the ocean–sea ice mesh has a resolution varying between 60 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in the midlatitudes and 30 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at the Equator and
poles, as well as 60 ocean vertical levels, with a layer thickness varying between 10 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at the surface and 250 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in the deep ocean. The river
component employs a latitude and longitude grid with uniform grid spacing in both directions of 0.125 and 0.5<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> for high and low resolution,
respectively. For more detailed information on time steps and coupling frequency for each component model, refer to Table 2 in
<xref ref-type="bibr" rid="bib1.bibx6" id="text.42"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e544">Horizontal and vertical resolution of E3SM-HR and E3SM-LR. In the case of sea ice, vertical levels refer to the number of thickness categories.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="14mm"/>
     <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:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Component</oasis:entry>

         <oasis:entry colname="col3">E3SM-HR</oasis:entry>

         <oasis:entry colname="col4">E3SM-LR</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <?xmltex \mrwidth{14mm}?><oasis:entry colname="col1" morerows="1">Horizontal spacing</oasis:entry>

         <oasis:entry colname="col2">Atmosphere/land</oasis:entry>

         <oasis:entry colname="col3">25 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4">110 <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></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">Ocean/sea ice</oasis:entry>

         <oasis:entry colname="col3">8–16 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4">30–60 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">River</oasis:entry>

         <oasis:entry colname="col3">0.125<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4">0.5<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <?xmltex \mrwidth{14mm}?><oasis:entry colname="col1" morerows="1">Vertical levels</oasis:entry>

         <oasis:entry colname="col2">Atmosphere</oasis:entry>

         <oasis:entry colname="col3">72</oasis:entry>

         <oasis:entry colname="col4">72</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">Land</oasis:entry>

         <oasis:entry colname="col3">15</oasis:entry>

         <oasis:entry colname="col4">15</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Ocean</oasis:entry>

         <oasis:entry colname="col3">80</oasis:entry>

         <oasis:entry colname="col4">60</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Sea ice</oasis:entry>

         <oasis:entry colname="col3">5</oasis:entry>

         <oasis:entry colname="col4">5</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">River</oasis:entry>

         <oasis:entry colname="col3">1</oasis:entry>

         <oasis:entry colname="col4">1</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

      <p id="d1e737">Before performing fully coupled simulations, we run the ocean model in stand-alone mode for 1 and 3 months for E3SM-HR and E3SM-LR, respectively,
starting from rest and the Polar Hydrographic Climatology (PHC; <xref ref-type="bibr" rid="bib1.bibx67" id="altparen.43"/>) temperature and salinity profiles to slightly spin up the
velocity field and damp out high-velocity waves. The results of the stand-alone ocean simulation are used as the initial condition for an ocean- and sea-ice-only, 3-year simulation using the Common Ocean Reference Experiment version 2 (COREv2; <xref ref-type="bibr" rid="bib1.bibx34" id="altparen.44"/>) protocol for interannually
varying atmospheric forcing. The sea ice is initialized with a uniform thickness of 1 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at all locations south of 70<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and north
of 70<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. Finally, the model state from the end of this simulation is used as the initial condition for the ocean and sea ice components in
the fully coupled simulations. The atmospheric initial condition is obtained from an earlier high-resolution E3SM simulation run with fixed
sea surface temperature (SST). The land initial condition is interpolated from the year 1950 of a low-resolution E3SM v1 CMIP simulation
<xref ref-type="bibr" rid="bib1.bibx18" id="paren.45"/>. With these initial conditions, we run E3SM in a fully coupled model for 50 years at both high and low resolution for
comparison. We use results from the last 30 years of each simulation for the analysis presented here.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e779">Atmosphere, ocean, and sea ice state estimate datasets.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="28mm"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Datasets</oasis:entry>
         <oasis:entry colname="col2">Variables</oasis:entry>
         <oasis:entry colname="col3">Units</oasis:entry>
         <oasis:entry colname="col4">Spatial and temporal<?xmltex \hack{\hfill\break}?>resolution</oasis:entry>
         <oasis:entry colname="col5">Periods</oasis:entry>
         <oasis:entry colname="col6">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">AMSR-E</oasis:entry>
         <oasis:entry colname="col2">Sea ice production</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M25" 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">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">20 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, monthly</oasis:entry>
         <oasis:entry colname="col5">2003–2010</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx47" id="text.46"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NCDR</oasis:entry>
         <oasis:entry colname="col2">Sea ice concentration</oasis:entry>
         <oasis:entry colname="col3">%</oasis:entry>
         <oasis:entry colname="col4">25 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, monthly</oasis:entry>
         <oasis:entry colname="col5">1989–2018</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx54" id="text.47"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SOSE</oasis:entry>
         <oasis:entry colname="col2">Sea ice concentration</oasis:entry>
         <oasis:entry colname="col3">%</oasis:entry>
         <oasis:entry colname="col4">16 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, monthly</oasis:entry>
         <oasis:entry colname="col5">2005–2010</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx43" id="text.48"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sea ice thickness</oasis:entry>
         <oasis:entry colname="col3"><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="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Temperature</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Salinity</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Potential density</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M32" 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></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WOA18</oasis:entry>
         <oasis:entry colname="col2">Temperature</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C</oasis:entry>
         <oasis:entry colname="col4">25 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, monthly</oasis:entry>
         <oasis:entry colname="col5">1995–2018</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx39" id="text.49"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Salinity</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx85" id="text.50"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CTD-1</oasis:entry>
         <oasis:entry colname="col2">Temperature</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M37" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">30 Mar–2 Apr 1995</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx27" id="text.51"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Neutral density</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M39" 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></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CTD-2</oasis:entry>
         <oasis:entry colname="col2">Temperature</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M41" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">8–12 Feb 2007</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx77" id="text.52"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Neutral density</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M43" 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></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CTD-3</oasis:entry>
         <oasis:entry colname="col2">Temperature</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M45" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">17–18 Jan 1993</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx51" id="text.53"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Neutral density</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M47" 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></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ERA5</oasis:entry>
         <oasis:entry colname="col2">Zonal wind at 10 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M49" 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></oasis:entry>
         <oasis:entry colname="col4">25 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, monthly</oasis:entry>
         <oasis:entry colname="col5">1979–2008</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx25" id="text.54"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Meridional wind at 10 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M52" 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></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{2}?></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Ocean, sea ice, and atmosphere state estimates</title>
      <p id="d1e1468">The datasets used here for model evaluation purposes are summarized in Table <xref ref-type="table" rid="Ch1.T2"/>; they include direct observations, reanalyses,
and interpolated climatologies for the atmosphere, ocean, and sea ice in the Southern Ocean. For the evaluation of sea ice, we use sea ice
concentration from the NOAA/NSIDC Climate Data Record of Passive Microwave Sea Ice Concentration version 3 <xref ref-type="bibr" rid="bib1.bibx54" id="paren.55"><named-content content-type="pre">NCDR;</named-content></xref> and sea ice
production from <xref ref-type="bibr" rid="bib1.bibx47" id="text.56"/>, which is derived from data from the Advanced Microwave Scanning<?pagebreak page2684?> Radiometer for Earth Observing System
(AMSR-E). For the evaluation of oceanic currents and sea ice concentration, we utilize the Southern Ocean State Estimate
<xref ref-type="bibr" rid="bib1.bibx43" id="paren.57"><named-content content-type="pre">SOSE;</named-content></xref>, a state-of-the-art, data assimilation product that incorporates millions of ocean and sea ice observations while
maintaining dynamically consistent ocean state variables. Given the sparsity of observations in many regions around Antarctica, SOSE offers a
comprehensive, physically based estimate of ocean properties that would otherwise be entirely uncharacterized <xref ref-type="bibr" rid="bib1.bibx28" id="paren.58"/>. Specifically,
we use the SOSE dataset with <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> horizontal resolution, spanning from 2005 to 2010. We also use the World Ocean Atlas 2018
(WOA18; <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx85" id="altparen.59"/>), which provides a global data product of ocean temperature, salinity, and density. Considering that both SOSE and
WOA18 are based on offshore observational data, we utilize in situ conductivity–temperature–depth (CTD) observations <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx77 bib1.bibx51" id="paren.60"/> to better characterize the model subsurface temperature and density on the continental shelf.</p>
      <p id="d1e1516">For evaluating the atmospheric state over the Southern Ocean, we use zonal and meridional wind velocities at 10 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from the European Centre for
Medium-Range Weather Forecasts (ECMWF) ERA5 reanalysis product <xref ref-type="bibr" rid="bib1.bibx25" id="paren.61"/>. It should be noted here that the ocean, sea ice, and
atmosphere datasets described above represent present-day conditions, whereas the E3SM simulations are representative of model conditions for the
1950s. We compare monthly averaged products from both present-day observations and E3SM simulations, noting that the horizontal resolution of
observational datasets – varying between 16 and 25 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> – differs from E3SM simulation output.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Definition of coastal polynyas and OOPs</title>
      <p id="d1e1546">Coastal polynyas are areas covered by “thin” sea ice, as defined by having a thickness of less than 20 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>, and surrounded by coastline
and/or consolidated thick sea ice during the freezing season (e.g., <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx74 bib1.bibx47 bib1.bibx50" id="altparen.62"/>). We apply this definition of coastal polynyas to our model results. Our definition of OOPs follows a methodology similar to
previous studies (e.g., <xref ref-type="bibr" rid="bib1.bibx30" id="altparen.63"/>); i.e., we consider areas within the ice pack where the open-ocean sea ice concentration is
less than 15 % during the freezing season.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1566">The 13 major Antarctic coastal polynyas in this study.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Acronym</oasis:entry>
         <oasis:entry colname="col2">Polynya name</oasis:entry>
         <oasis:entry colname="col3">Polynya area</oasis:entry>
         <oasis:entry colname="col4">Sea ice production</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(10<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(10<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CDP</oasis:entry>
         <oasis:entry colname="col2">Cape Darnley</oasis:entry>
         <oasis:entry colname="col3">10.3 <inline-formula><mml:math id="M62" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.7</oasis:entry>
         <oasis:entry colname="col4">13.4 <inline-formula><mml:math id="M63" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MBP</oasis:entry>
         <oasis:entry colname="col2">Mackenzie Bay</oasis:entry>
         <oasis:entry colname="col3">3.9 <inline-formula><mml:math id="M64" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1</oasis:entry>
         <oasis:entry colname="col4">6.0 <inline-formula><mml:math id="M65" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BaP</oasis:entry>
         <oasis:entry colname="col2">Barrier</oasis:entry>
         <oasis:entry colname="col3">6.0 <inline-formula><mml:math id="M66" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.7</oasis:entry>
         <oasis:entry colname="col4">6.2 <inline-formula><mml:math id="M67" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SP</oasis:entry>
         <oasis:entry colname="col2">Shackleton</oasis:entry>
         <oasis:entry colname="col3">7.5 <inline-formula><mml:math id="M68" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6</oasis:entry>
         <oasis:entry colname="col4">8.4 <inline-formula><mml:math id="M69" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VBP</oasis:entry>
         <oasis:entry colname="col2">Vincennes Bay</oasis:entry>
         <oasis:entry colname="col3">6.3 <inline-formula><mml:math id="M70" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.2</oasis:entry>
         <oasis:entry colname="col4">6.4 <inline-formula><mml:math id="M71" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DaP</oasis:entry>
         <oasis:entry colname="col2">Dalton</oasis:entry>
         <oasis:entry colname="col3">3.7 <inline-formula><mml:math id="M72" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.0</oasis:entry>
         <oasis:entry colname="col4">3.5 <inline-formula><mml:math id="M73" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DiP</oasis:entry>
         <oasis:entry colname="col2">Dibble</oasis:entry>
         <oasis:entry colname="col3">5.5 <inline-formula><mml:math id="M74" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.3</oasis:entry>
         <oasis:entry colname="col4">5.7 <inline-formula><mml:math id="M75" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MP</oasis:entry>
         <oasis:entry colname="col2">Mertz</oasis:entry>
         <oasis:entry colname="col3">9.7 <inline-formula><mml:math id="M76" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.4</oasis:entry>
         <oasis:entry colname="col4">13.2 <inline-formula><mml:math id="M77" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TNBP</oasis:entry>
         <oasis:entry colname="col2">Terra Nova Bay</oasis:entry>
         <oasis:entry colname="col3">3.6 <inline-formula><mml:math id="M78" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1</oasis:entry>
         <oasis:entry colname="col4">5.9 <inline-formula><mml:math id="M79" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RISP</oasis:entry>
         <oasis:entry colname="col2">Ross Ice Shelf</oasis:entry>
         <oasis:entry colname="col3">17.7 <inline-formula><mml:math id="M80" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.6</oasis:entry>
         <oasis:entry colname="col4">30.0 <inline-formula><mml:math id="M81" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AP</oasis:entry>
         <oasis:entry colname="col2">Amundsen</oasis:entry>
         <oasis:entry colname="col3">7.7 <inline-formula><mml:math id="M82" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6</oasis:entry>
         <oasis:entry colname="col4">9.0 <inline-formula><mml:math id="M83" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BeP</oasis:entry>
         <oasis:entry colname="col2">Bellingshausen</oasis:entry>
         <oasis:entry colname="col3">4.9 <inline-formula><mml:math id="M84" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.8</oasis:entry>
         <oasis:entry colname="col4">5.5 <inline-formula><mml:math id="M85" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RONP</oasis:entry>
         <oasis:entry colname="col2">Ronne Ice Shelf</oasis:entry>
         <oasis:entry colname="col3">2.3 <inline-formula><mml:math id="M86" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.7</oasis:entry>
         <oasis:entry colname="col4">3.8 <inline-formula><mml:math id="M87" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \gdef\@currentlabel{3}?></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e2038"><bold>(a)</bold> Mean latent heat flux from the sea surface to the atmosphere (shading) and surface wind vectors during the freezing season (March–October) in E3SM-HR. Units of reference for the wind vector are meters per second (<inline-formula><mml:math id="M88" 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>). <bold>(b)</bold> Mean sea ice production rate during the freezing season (shading) and 1000 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> isobath (contour) in E3SM-HR. Locations of individual coastal polynyas are shown. Definitions of abbreviations can be found in Table <xref ref-type="table" rid="Ch1.T3"/>. <bold>(c)</bold> Accumulated sea ice volume as a function of longitude from Antarctic coastal polynyas from March to October from E3SM-HR (magenta) and AMSR-E (gray). <bold>(d)</bold> Total sea ice volume production per year for all Antarctic coastal polynyas for model years 26 to 55. </p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f01.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Antarctic coastal and open-ocean polynyas</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Coastal polynyas</title>
      <p id="d1e2102">In this section, we investigate the fidelity of Antarctic coastal polynyas simulated in E3SM (a list of the 13 polynyas is included in
Table <xref ref-type="table" rid="Ch1.T3"/>) by comparing model output with available observational data. Cold katabatic winds blowing off Antarctica in E3SM-HR
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>a) push the thick sea ice offshore, leading to open water. Consequently, intensive<?pagebreak page2685?> latent heat flux exchanges from the ocean to
the atmosphere favor sea ice production in the Antarctic coastal polynyas (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b; note enhanced sea ice production near the Antarctic
coast compared to further offshore). Sea ice volume accumulated in coastal polynyas from March to October is shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>c as a
function of longitude for E3SM-HR and the AMSR-E satellite estimate. The AMSR-E data show that the highest rates of sea ice production occur along
the East Antarctic coast, while the Ross Sea (Ross Ice Shelf polynya – RISP, around 180<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude) has the largest total sea ice production.
E3SM-HR generally does well at representing the accumulated sea ice volume in coastal Antarctic polynyas, especially in high sea ice production areas
along the East Antarctic coast.  Furthermore, over the course of the simulation, E3SM-HR displays interannual variability in total sea ice production
from Antarctic coastal polynyas of up to 43 % (Fig. <xref ref-type="fig" rid="Ch1.F1"/>d). This suggests that E3SM-HR may be useful for analyzing Antarctic coastal
polynya variability.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2127"><bold>(a–m)</bold> Area–volume diagrams of average polynya area (<inline-formula><mml:math id="M91" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis) and mean annual volume of sea ice production (<inline-formula><mml:math id="M92" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) during the freezing season from March to October for the 13 major Antarctic coastal polynyas. The black bar represents the standard deviation in the annual mean area for each coastal polynya, and the gray bar represents the standard deviation of sea ice production for each coastal polynya. Note the different scale on the <inline-formula><mml:math id="M93" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis of panel <bold>(j)</bold>. <bold>(n)</bold> Integrated polynya area and sea ice volume production for the 13 major coastal polynyas. <bold>(o)</bold> Integrated polynya area and sea ice volume production for the nine major coastal polynyas where landfast ice does not play a significant role (BaP, DaP, DiP, and AP are excluded).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f02.png"/>

        </fig>

      <p id="d1e2169">The mean coastal polynya area and sea ice volume accumulated during the March to October freezing season are presented in Fig. <xref ref-type="fig" rid="Ch1.F2"/> for
each of the 13 polynyas indicated in Fig. <xref ref-type="fig" rid="Ch1.F1"/>b and Table <xref ref-type="table" rid="Ch1.T3"/>; results from both the high- and low-resolution versions of E3SM
are included and compared against observations. As expected, E3SM-LR shows very little polynya area or sea ice volume production over the defined
coastal polynya region, whereas E3SM-HR has significant improvements in both polynya area and sea ice production compared to the low-resolution
simulation. Yet, sea ice volume production in E3SM-HR is smaller than observed in several coastal polynyas such as the Dalton,<?pagebreak page2686?> Dibble, and Amundsen
polynyas (DaP, DiP, AP, respectively). In reality, these coastal polynyas are strongly affected by the presence of landfast ice, a feature not yet
represented in E3SM. Landfast ice is stationary sea ice attached to coastal features such as the shoreline and grounded icebergs
<xref ref-type="bibr" rid="bib1.bibx47" id="paren.64"/>. Several previous studies suggested that landfast ice and glacier tongues play an important role in the formation of
some coastal polynyas by blocking sea ice advection of upstream sea ice into the polynya and thereby facilitating divergent motion
<xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx5" id="paren.65"/>. Therefore, a representation of landfast ice may be needed to more accurately capture coastal
polynya characteristics. When we compare the sum of polynya area and sea ice volume production for polynyas that are not associated with landfast ice
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>o), it can be seen that E3SM-HR does reasonably well at reproducing sea ice volume production compared to AMSR-E observations,
despite generally underestimating polynya area.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2190">Observed sea ice concentration (%) during the months of <bold>(a)</bold> September, <bold>(b)</bold> October, and <bold>(c)</bold> November from NCDR (year 2017) over the Southern Ocean. Simulated sea ice concentration during the months of <bold>(d)</bold> September, <bold>(e)</bold> October, and <bold>(f)</bold> November from E3SM-HR (model year 54) over the Southern Ocean.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Open-ocean polynyas</title>
      <p id="d1e2226">The first observed OOP, the Maud Rise polynya (MRP), was detected during the period June to October 1973, and it propagated westward from the Maud Rise
seamount into the open ocean at an average velocity of 0.013 <inline-formula><mml:math id="M94" 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> <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx20" id="paren.66"/>. In the winters of 1974 and
1975, the MRP extended westward into the central Weddell Sea, initiating a Weddell Sea polynya  (WSP; <xref ref-type="bibr" rid="bib1.bibx30" id="altparen.67"/>). <?pagebreak page2687?> More
recently, the MRP was observed intermittently in August 2016 and more consistently during the winter of 2017 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a–c; note that
these observations are shown for reference only and not for the purpose of model evaluation).  Similarly to a previous study comparing the difference
between high- and low-resolution climate model results (e.g., <xref ref-type="bibr" rid="bib1.bibx13" id="altparen.68"/>), E3SM-LR does not exhibit OOPs at any point in the
simulation. E3SM-HR does produce MRPs, an example of which is shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>d–f for model year 54, at which relatively low sea ice
concentration can be seen around 0<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude. The presence of OOPs allows the ocean and atmosphere to interact directly through enhanced
exchanges of sensible heat fluxes (results not shown), potentially affecting the dense water formation in E3SM-HR.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2271">Composite mean of simulated sea ice concentration (%) in E3SM-HR from September to November for years with <bold>(a)</bold> no OOPs (normal year), <bold>(b)</bold> OOPs (MRPs <inline-formula><mml:math id="M96" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WSPs <inline-formula><mml:math id="M97" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> embayments), <bold>(c)</bold> Maud Rise polynyas, <bold>(d)</bold> Weddell Sea polynyas, <bold>(e)</bold> Maud Rise and Weddell Sea polynyas, and <bold>(f)</bold> embayment shape cases. The numbers in parentheses are the number of years used to compute each composite analysis (years used for the composites can be found in <bold>g</bold>). The OOP years consist of all the cases of <bold>(c)</bold> Maud Rise polynyas, <bold>(d)</bold> Weddell Sea polynyas, <bold>(e)</bold> Maud Rise and Weddell Sea polynyas, and <bold>(f)</bold> embayment shapes. The pink box <bold>(a)</bold> indicates the area used to calculate the WMT rate in Sect. 4. <bold>(g)</bold> Averaged sea ice extent by E3SM model year from September to November over the Weddell Sea (pink box in <bold>a</bold>). The normal year is denoted by gray, and the OOP type is denoted by using four different colors.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f04.png"/>

        </fig>

      <?pagebreak page2688?><p id="d1e2338">OOPs appear to occur more frequently in high-resolution model simulations than in the last 50-year record of satellite sea ice observations
(e.g., <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx11" id="altparen.69"/>). Even in high-resolution ocean reanalysis products, there are several cases of OOPs (for
instance, in 2005 in SOSE and in 2004, 2007, and 2010 in ECCO2) that do not appear in satellite observations <xref ref-type="bibr" rid="bib1.bibx2" id="paren.70"/>. The convective
activity accompanying OOPs is associated with decreased stability within the water column, which can be caused by buoyancy changes in surface or deep
waters <xref ref-type="bibr" rid="bib1.bibx4" id="paren.71"/>. OOP formation mechanisms have been investigated extensively in the past. Most studies recognize the existence of
an interplay mechanism between atmospheric wind forcing <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx8" id="paren.72"/> and reduced upper-ocean stratification due to
anomalously positive sea surface salinities that strengthens the Taylor column near the Maud Rise seamount <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx7" id="paren.73"/>. In addition, a strengthening of the subpolar cyclonic gyre in the Weddell Sea may be a factor in preconditioning the oceanic
convective process, since it leads to shoaling of the pycnocline and circulation that strongly interacts with the bathymetry near Maud Rise
<xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx4" id="paren.74"/>. Possibly because of the presence of both an overly strong cyclonic gyre related to a deep subpolar
low (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/> below) and a reduced stratification in the Weddell Sea interior compared with WOA18 climatology (not shown),
E3SM-HR produces OOPs in 18 of the 30 total simulation years (see Fig. <xref ref-type="fig" rid="Ch1.F4"/>), far more frequently than observed.</p>
      <p id="d1e2365">For the purposes of this paper, we define the simulated OOP years as those in which either or both MRP and WSP occur or in which embayment-like
features in sea ice concentration occur in the Weddell Sea (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c–f). During non-OOP years, most of the Weddell Sea is covered with
sea ice from September to November (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). As reported elsewhere, once an OOP occurs, it has a tendency to re-occur in subsequent
years (Fig. <xref ref-type="fig" rid="Ch1.F4"/>g) due to the ventilation of salty and high-density waters within the deep convection area that induces a positive feedback on
subsequent convections <xref ref-type="bibr" rid="bib1.bibx31" id="paren.75"/>.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Dense water formation</title>
      <?pagebreak page2689?><p id="d1e2386">The second part of this study is to investigate dense water mass formation processes in the E3SM-HR simulation only, given that E3SM-LR does not
reproduce coastal polynyas as well as OOPs and does not show signs of deep convection from inspections of the simulated mixed layer depth and upper-ocean stratification (results not shown).
<?xmltex \hack{\newpage}?></p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Water mass transformation in OOPs and continental shelves</title>
      <p id="d1e2397">In this section, we apply a water mass transformation (WMT) analysis to the last 30 years of the E3SM-HR simulation in the Weddell Sea region over
both the continental shelf and the open ocean to find which polynya type, coastal or OOP, predominantly produces dense water masses in E3SM-HR. The
WMT analysis, first introduced by <xref ref-type="bibr" rid="bib1.bibx80" id="text.76"/>, quantifies the relationship between the thermodynamic transformation of water mass
properties within an ocean basin and the net transport of those same properties into or out of the basin. This relationship has been used to
characterize the thermodynamic processes that sustain the Southern Ocean overturning in models <xref ref-type="bibr" rid="bib1.bibx1" id="paren.77"/>. A more detailed
description of WMT analysis can be found in <xref ref-type="bibr" rid="bib1.bibx22" id="text.78"/>. <xref ref-type="bibr" rid="bib1.bibx28" id="text.79"/> discuss previous applications of WMT to the analysis
of low-resolution E3SM simulations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2414"><bold>(a)</bold> The 30-year mean water mass transformation (WMT) rate integrated over all density classes from March to October (freezing season) by total surface fluxes, including surface heat and freshwater fluxes from the E3SM-HR simulation. The green bold contour marks the 1000 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> isobath (which defines the continental shelf here), and the pink box in <bold>(a)</bold> identifies the Weddell Sea as defined in this study. <bold>(b)</bold> WMT rates with respect to neutral density class summed over the whole Southern Ocean (gray), continental shelf (green), and Weddell Sea (pink). Note that the green and pink curves do not sum to the gray curve. Panels <bold>(c)</bold> and <bold>(d)</bold> show WMT rates driven by the total surface flux and its components integrated over the continental shelf and over the open Weddell Sea, respectively. The WMT rate driven by the total surface flux (solid black) consists of those induced by surface heat flux (solid red), freshwater flux from sea ice formation (solid blue), sea ice melting (dashed orange), and E–P–R (dashed green; evaporation, precipitation, and runoff).</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f05.png"/>

        </fig>

      <p id="d1e2445">In Fig. <xref ref-type="fig" rid="Ch1.F5"/>a, we show the mean WMT rate over the Southern Ocean produced in E3SM-HR for all surface fluxes combined (positive WMT rates
indicate that water masses become denser, implying buoyancy loss; negative WMT rates indicate that water masses become lighter, implying buoyancy
gain). Because we only focus on the WMT rate during the freezing season from March to October, positive WMT rates dominate over most of the Southern
Ocean. Over the continental shelf, the region delimited by the 1000 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> isobath in Fig. <xref ref-type="fig" rid="Ch1.F5"/>a, we find strong positive WMT rates, which
are the direct result of high sea ice production there (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b). These results compare well in magnitude with observation-based
estimates <xref ref-type="bibr" rid="bib1.bibx53" id="paren.80"/>.</p>
      <p id="d1e2466">The mean WMT rates in latitude and longitude space can be converted into neutral density space and are shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>b for the whole
Southern Ocean (gray line), the continental shelf only (green line), and the Weddell Sea (pink line). The maximum WMT rates over the whole Southern
Ocean (<inline-formula><mml:math id="M100" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula>) are found at a neutral density of 27.6 <inline-formula><mml:math id="M102" 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> and are larger than the observation-based estimate
(<inline-formula><mml:math id="M103" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 13 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula>) in <xref ref-type="bibr" rid="bib1.bibx53" id="text.81"/>. In the high density ranges above 28.0 <inline-formula><mml:math id="M105" 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>, a local maximum WMT rate
of 3.0 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Sv</mml:mi></mml:mrow></mml:math></inline-formula> is seen at a neutral density of 28.2 <inline-formula><mml:math id="M107" 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>. <xref ref-type="bibr" rid="bib1.bibx81" id="text.82"/> and <xref ref-type="bibr" rid="bib1.bibx52" id="text.83"/> define AABW as
having neutral densities higher than 28.27 <inline-formula><mml:math id="M108" 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>. We consider 28.0 <inline-formula><mml:math id="M109" 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> to be a suitable minimum threshold of AABW in the
E3SM-HR simulation. As this high-density transformation rate in E3SM-HR is entirely due to WMT over the Weddell Sea rather than on the continental
shelf (compare green and pink lines in Fig. <xref ref-type="fig" rid="Ch1.F5"/>b), the simulated bottom water is produced through open-ocean convection in the Weddell Sea
only, similarly to what has been found in previous studies <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx4 bib1.bibx2" id="paren.84"/>. Over the continental
shelf, we also see positive transformation rates, but these occur at relatively lighter densities, with an average neutral density of
27.5 <inline-formula><mml:math id="M110" 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>, whereas no transformation occurs at densities higher than 28.0 <inline-formula><mml:math id="M111" 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>. These results are confirmed by the
<inline-formula><mml:math id="M112" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math id="M113" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> diagrams for the Weddell Sea water column, presented in Fig. S1 in the Supplement and computed
from both the E3SM-HR annual climatology and the WOA18 climatology. Compared to WOA18 and also considering Fig. 1a in <xref ref-type="bibr" rid="bib1.bibx81" id="text.85"/>,
E3SM-HR exhibits a reasonably well-reproduced CDW and Antarctic surface water, but it misses shelf waters completely and  produces  AABW that is
less dense (mostly because it is less cold) than observed.</p>
      <p id="d1e2662">When we consider the WMT rate contributed by several types of surface fluxes separately over the Antarctic continental shelf and over the Weddell Sea
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>c and d), the positive transformation rate over the continental shelf results almost entirely from brine rejection by sea ice
production. The positive WMT rate over the deep Weddell Sea, meanwhile, is mostly due to the surface heat release from the ocean to the atmosphere,
especially at relatively high neutral densities above 28.0 <inline-formula><mml:math id="M114" 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>, which is consistent with the strong ocean-to-atmosphere exchanges that
occur in OOPs. We confirm, therefore, that the coastal polynyas and OOPs simulated in E3SM-HR have different WMT mechanisms. However, as described
above, the simulation produces water masses at relatively low density levels on the continental shelf, despite the fact that the model does reasonably
well at reproducing a large amount of sea ice formation in coastal polynyas during the freezing season. To investigate this apparent inconsistency, in
the next section we examine E3SM-HR's hydrographic characteristics in the Southern Ocean.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2686">Annual mean atmospheric surface winds (at 10 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) from <bold>(a)</bold> ERA5 and <bold>(b)</bold> E3SM-HR. Annual mean sea surface ocean currents from <bold>(c)</bold> SOSE and <bold>(d)</bold> E3SM-HR. Shading  represents the speed of atmospheric winds and ocean currents. The locations for each shelf type are indicated by “warm”, “dense”, and “fresh” in <bold>(d)</bold> to represent warm, dense, and fresh shelves, respectively.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Hydrographic characteristics of continental shelves</title>
      <p id="d1e2727">We start by comparing E3SM-HR's atmospheric surface (10 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) winds with the ERA5 reanalysis data (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a and b). Compared
to ERA5, E3SM-HR has stronger atmospheric surface winds, not only along the Antarctic continental shelf but also in the interior Southern Ocean, which
is consistent with an overly deep subpolar low-pressure system south of 60<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>S (Fig. S2 in the Supplement). The overly strong atmospheric winds along the continental shelf may impact the strength of the ASC. Indeed, in
Fig. <xref ref-type="fig" rid="Ch1.F6"/>c and d, we find that a very strong ASC is simulated in E3SM-HR, with speeds more than double those in SOSE (e.g.,
0.34 <inline-formula><mml:math id="M118" 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> in E3SM-HR compared with 0.16 <inline-formula><mml:math id="M119" 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 SOSE at 0<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude). Therefore, we hypothesize that the strong
winds over the continental shelf may be one of the drivers of the strong ASC in E3SM-HR.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2797"><bold>(a–c)</bold> Atmospheric wind speed at 10 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from ERA5 and E3SM-HR. <bold>(d–f)</bold> Measurements of conservative temperature (colors) and neutral density (black contours) across the ASC in locations corresponding to each ASC regime: <bold>(d)</bold> the eastern Weddell Sea <xref ref-type="bibr" rid="bib1.bibx27" id="paren.86"/>, <bold>(e)</bold> the western Weddell Sea <xref ref-type="bibr" rid="bib1.bibx77" id="paren.87"/>, and <bold>(f)</bold> the Bellingshausen Sea <xref ref-type="bibr" rid="bib1.bibx51" id="paren.88"/>. <bold>(g–i)</bold> Vertical cross-section of ocean temperature (colors) and neutral density (black contours) from an annual average of the E3SM-HR simulation. The left (<bold>a</bold>, <bold>d</bold>, and <bold>g</bold>), middle (<bold>b</bold>, <bold>e</bold>, and <bold>h</bold>), and right (<bold>c</bold>, <bold>f</bold>, and <bold>i</bold>) columns show an example of fresh, dense, and warm shelf cases. Section locations are shown in Fig. <xref ref-type="fig" rid="Ch1.F6"/>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f07.png"/>

        </fig>

      <p id="d1e2872">A closer look at the shelf hydrography supports this hypothesis. In particular, we select three vertical meridional and zonal cross-sections at
18<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>W (eastern Weddell Sea), 63<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S (western Weddell Sea), and 90<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W (Bellingshausen Sea), which are representative of the
fresh, dense, and warm shelf types, respectively (the locations of the cross-sections are indicated in Fig. <xref ref-type="fig" rid="Ch1.F6"/>d, and they
coincide with the sections described in <xref ref-type="bibr" rid="bib1.bibx78" id="text.89"/>. The results are presented in Fig. <xref ref-type="fig" rid="Ch1.F7"/>, comparing the model
temperature and density profiles with CTD observational data <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx77 bib1.bibx51" id="paren.90"/>. In general, E3SM-HR
features down-sloping isopycnals approaching the continental slope in all cross-sections. For the fresh shelf type (Fig. <xref ref-type="fig" rid="Ch1.F7"/>a, d,
and g), the model isopycnal surfaces are strongly tilted downwards in the onshore direction, more so than in the observational results
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>d). The strong Antarctic Slope Front (ASF) in the fresh shelf may be induced by the higher easterly winds (with respect to
ERA5 winds) along this shelf (Fig. <xref ref-type="fig" rid="Ch1.F7"/>a). At the dense shelf type (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b, e, and h), the isopycnals associated
with warm CDW tilt down toward the seafloor over most of the continental slope. However, as the CDW approaches the shelf break in the dense shelf
type, the observed isopycnals shoal again, indicating a V-shaped isopycnal surface (Fig. <xref ref-type="fig" rid="Ch1.F7"/>e). Unlike observations, E3SM-HR exhibits
no V-shaped isopycnals, but rather steep isopycnal surfaces tilted downward toward the shelf break from offshore. This is also likely related to
overly strong model winds (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b). Lastly, in the warm shelf type (Fig. <xref ref-type="fig" rid="Ch1.F7"/>c, f, and i), the observations show
isopycnal surfaces that tilt upward towards Antarctica, resulting in warm CDW reaching the continental shelf (Fig. <xref ref-type="fig" rid="Ch1.F7"/>f).<?pagebreak page2691?> Again,
E3SM-HR simulates hydrographic conditions that are more similar to the fresh shelf type, with downward-tilted isopycnals
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>i). This bias could similarly be related to the overly strong model winds (Fig. <xref ref-type="fig" rid="Ch1.F7"/>c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2937">(<bold>a</bold>, <bold>c</bold>, and <bold>e</bold>) Vertical cross-section of salinity (shading) and neutral density (contour lines) for <bold>(a)</bold> strong wind years, <bold>(c)</bold> weak wind years, and <bold>(e)</bold> difference between strong and weak wind years from E3SM-HR simulation. <bold>(b, d, f)</bold> Vertical cross-section of ocean current speed (shading) and neutral density (contour lines) for <bold>(b)</bold> strong wind years, <bold>(d)</bold> weak wind years, and <bold>(f)</bold> the difference between strong and weak wind years from the E3SM-HR simulation. For the differences, statistically significant values (<inline-formula><mml:math id="M125" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M126" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05) are stippled.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f08.png"/>

        </fig>

      <p id="d1e2992">To further support our hypothesis that strong winds are responsible for the strong ASF, we compare vertical cross-sections of salinity, neutral
density, and ocean current speed for the dense shelf case and for a strong wind and a weak wind composite (Fig. <xref ref-type="fig" rid="Ch1.F8"/>). The
strong wind (weak wind) composite was computed by selecting all years with the top (bottom) 25 % winter wind speeds over the dense shelf
(63<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S). Compared to weak wind years, strong wind years are characterized by a pronounced subsurface salinity cross-section gradient between
the relatively salty waters in the CDW layer and the fresher waters over the continental shelf (Fig. <xref ref-type="fig" rid="Ch1.F8"/>e). In response to the
lateral gradient in salinity, the lateral density gradient is also strong in the strong wind years, which causes an intensification of the ASC and ASF
at or close to the shelf break (Fig. <xref ref-type="fig" rid="Ch1.F8"/>f). These results further indicate that the wind bias is the main contributor to the
strong ASC in the E3SM-HR simulation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e3012">Seasonal mean sea ice thickness during JFM (January–February–March), AMJ (April–May–June), JAS (July–August–September), and OND (October–November–December) from <bold>(a, c, e, g)</bold> SOSE and <bold>(b, d, f, h)</bold> E3SM-HR. The region where sea ice concentration is less than 15 % is masked out. The yellow contour line denotes the 1000 <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> isobath. Sea ice extents and volumes for each season are also displayed.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f09.png"/>

        </fig>

      <p id="d1e3035">In summary, as a result of ubiquitous, strong polar easterly winds, we find that E3SM-HR consistently displays only the fresh shelf type. These overly
strong winds cause enhanced onshore Ekman transport (see Fig. S3 in the Supplement, particularly the
shelf results in panel c), which in turn may affect the advection of sea ice formed during the winter season. As shown in
Fig. <xref ref-type="fig" rid="Ch1.F9"/>, E3SM-HR's simulated sea ice extent in the Southern Ocean is much less than that from SOSE in all seasons except for
JAS (July–August–September), but sea ice volume is generally larger than SOSE's, and the largest differences are found in the coastal regions. We
hypothesize that this is the result of sea ice build-up on the continental shelf in E3SM-HR, wherein sea ice thickness often exceeds 2 <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>, due<?pagebreak page2692?> to
enhanced poleward surface Ekman transport, which prevents sea ice from moving to lower latitudes where it would potentially melt.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e3050"><bold>(a)</bold> Seasonal and area-averaged sea surface temperature (SST) and sea surface salinity (SSS) from E3SM-HR, SOSE, and WOA18 over the continental shelves for the season of January–February–March (JFM, summer), April–May–June (AMJ, autumn), July–August–September (JAS, winter), and October–November–December (OND, spring). Dashed lines on the <inline-formula><mml:math id="M130" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math id="M131" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> diagram are neutral density contours. Seasonal mean freshwater flux into the ocean by sea ice melting for JFM from <bold>(b)</bold> SOSE and <bold>(c)</bold> E3SM-HR. Annual mean sea surface neutral density from <bold>(d)</bold> WOA18 and <bold>(e)</bold> E3SM-HR. Red <bold>(b, c)</bold> and green <bold>(d, e)</bold> bold contours represent the 1000 <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> isobath.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://tc.copernicus.org/articles/17/2681/2023/tc-17-2681-2023-f10.png"/>

        </fig>

      <p id="d1e3103">Modeled and observed SST and sea  surface salinity (SSS) averaged over the continental shelf provide additional information regarding the impacts of
these biases. In Fig. <xref ref-type="fig" rid="Ch1.F10"/> we compare shelf SST and SSS from E3SM-HR with those from SOSE and WOA18. E3SM-HR has a good representation
of seasonal SST and SSS variation, but with warmer and fresher as well as colder and fresher water properties in the summer and winter seasons, respectively,
compared to SOSE and WOA18. In summer, the warm, fresh surface water has a neutral density of 26.0 <inline-formula><mml:math id="M133" 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 E3SM-HR compared with more
than 27.2 <inline-formula><mml:math id="M134" 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 WOA18 and 26.8 <inline-formula><mml:math id="M135" 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 SOSE. The possible external sources of the relatively low summer density in
E3SM-HR can be excessive precipitation (E-P), runoff, or sea ice melting. Consistent with the sea ice thickness bias discussed above
(Fig. <xref ref-type="fig" rid="Ch1.F9"/>), we find that the freshwater flux into the ocean from melting sea ice in E3SM-HR is larger than that of SOSE,
especially over the continental shelf and shelf break (Fig. <xref ref-type="fig" rid="Ch1.F10"/>b), while precipitation and runoff differences (not shown) are not
significant compared to SOSE. Because of extensive and excessive freshwater inputs from sea ice in E3SM-HR, the annual mean sea surface neutral
density is lighter than WOA18 over the continental shelf (Fig. <xref ref-type="fig" rid="Ch1.F10"/>d and e). We thus conclude that the overly strong easterly winds are
also (indirectly) responsible for the relatively lighter water masses forming on the continental shelf in E3SM-HR.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d1e3176">There are several phenomena known to be important in the physics associated with coastal polynyas that are challenging to model. Perhaps most
importantly, the ASC and its associated cross-shelf stratification play a critical role in establishing water mass and heat transport on and off the
Antarctic shelf, as well as in the Earth's climate system in general through their effects on the large-scale ocean circulation, the stability of
Antarctic ice sheets, and the global carbon cycle <xref ref-type="bibr" rid="bib1.bibx78" id="paren.91"/>. While the ASC is largely absent in low-resolution E3SM simulations
<xref ref-type="bibr" rid="bib1.bibx28" id="paren.92"/>, it has a much-improved representation in E3SM-HR. This is likely due to the higher resolution of the simulated surface
winds, the use of higher-resolution bathymetry, and better reproduction of mesoscale eddy activity over the Antarctic continental slope. Yet, it
should be noted that resolution much higher than the 6 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> available in the ocean component of E3SM-HR around Antarctica is needed
to fully resolve the mesoscale eddies on the continental shelf (resolutions of at least 2 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> very near the coast; see,
e.g., <xref ref-type="bibr" rid="bib1.bibx24" id="altparen.93"/>). Furthermore, the results presented in this paper have indicated the presence of an overly strong ASC around Antarctica in
E3SM-HR, associated with overly strong alongshore winds, particularly in dense shelf and warm shelf regions. This suggests that high horizontal
resolution in the ocean and atmosphere models alone cannot guarantee a better representation of the ASC, but a realistic simulation of the alongshore
winds is also an important factor. The E3SM wind biases over the Southern Ocean have been substantially reduced in E3SM version 2 through aggressive
tuning of boundary layer turbulence mixing and surface flux exchange (results not shown). In future studies, we plan to further investigate and
understand the impact of winds by exploiting the latest version of E3SM. The ASC also depends on tidal flow across the continental shelf break
<xref ref-type="bibr" rid="bib1.bibx69" id="paren.94"/>, and that is another process currently missing in our ocean model. Another important but missing piece in E3SM-HR is
the representation of ice shelves, which closely interact with coastal polynya and DSW formation <xref ref-type="bibr" rid="bib1.bibx28" id="paren.95"/>. Landfast sea ice
effectively modifies the coastline, thus affecting the location and extent of coastal polynyas <xref ref-type="bibr" rid="bib1.bibx36" id="paren.96"><named-content content-type="pre">e.g.,</named-content></xref>. Although this process is
currently missing in E3SM, an<?pagebreak page2694?> explicit physical model of landfast sea ice is in the planning stages. Finally, the E3SM sea ice dynamics modeled along
the coast also possess no tensile strength or interaction with icebergs, but both are known to be important for shaping coastal polynyas
<xref ref-type="bibr" rid="bib1.bibx16" id="paren.97"/>. We intend to explore the impacts of tides, landfast ice, and icebergs on polynya formation in future studies using E3SM.</p>
      <p id="d1e3219">Coupled GCMs are sophisticated tools designed to simulate, understand, and predict the behavior of the Earth's climate system
<xref ref-type="bibr" rid="bib1.bibx33" id="paren.98"/>. However, the model validation or assessment of climate phenomena from coupled GCMs has traditionally been compared with
uncoupled reanalysis data, as we have done in this study. We may have over-interpreted biases in E3SM relative to uncoupled reanalysis products, given
that they also have their own biases, in part because they lack physics-based constraints. Hence, there is a need for methods that are designed to
process observations of the atmosphere and ocean in a coupled model in a consistent manner <xref ref-type="bibr" rid="bib1.bibx33" id="paren.99"/>. Improvements in model
capabilities and increases in computing power are enabling the analysis of the Earth's climate system using such fully coupled data assimilation
schemes <xref ref-type="bibr" rid="bib1.bibx55" id="paren.100"/>, and future assessments of E3SM would greatly benefit from such coupled model reanalysis products. Different
temporal and spatial resolutions also introduce discrepancies between observations or reanalysis products and model results. A potential caveat to note
is that we only used one high-resolution and one low-resolution model simulation, thus not providing a quantification of structural model uncertainty.</p>
      <p id="d1e3231">The E3SM simulations presented in this paper use the fixed 1950s atmospheric forcing, which consists of greenhouse gases, <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and aerosol
for a 1950s (<inline-formula><mml:math id="M139" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10-year mean) climatology. Therefore, the E3SM simulation reflects the internal variability of a stable climate. The observations
with which E3SM-HR is compared are for a transient climate. They cover the period from 1979 onwards, but they are<?pagebreak page2695?> mostly from the current century,
which is at a significantly different point in the industrial epoch than is represented in our 1950s trace atmospheric model constituents. However,
previous studies (e.g., <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx48 bib1.bibx72" id="altparen.101"/>) indicated that the trends or mean values in observations
and individual model simulations may differ significantly because of internal variability rather than differences in response to the external
forcing. In addition, <xref ref-type="bibr" rid="bib1.bibx44" id="text.102"/> and <xref ref-type="bibr" rid="bib1.bibx28" id="text.103"/> found that the differences between preindustrial and present-day
control simulations are much smaller than the differences between different model configurations under the same preindustrial or present-day
forcing. Finally, we note that E3SM-HR uses an Antarctic land–sea boundary based on data from the 1990s and 2000s, which includes floating ice tongues
that are important for determining the locations of coastal polynyas (and which are also present in the observations used in this study). For all of
these reasons, we feel justified in using present-day observations as a metric by which to judge our model output.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Summary and conclusions</title>
      <p id="d1e3269">In this paper, we have investigated dense water formation in Antarctic coastal polynyas and OOPs using the fully coupled E3SM-HR and E3SM-LR
simulations. In terms of sea ice area and sea ice volume, we find that E3SM-HR reproduces the main features of the 13 most important Antarctic coastal
polynyas. There are limitations, however, with the representation of several coastal polynyas, which are possibly related to E3SM's current inability
to represent landfast ice. This<?pagebreak page2696?> suggests that adding an accurate representation of landfast ice in E3SM-HR will be essential for correctly simulating
coastal polynya and for future studies of polynya variability. E3SM-HR also reproduces MRPs, which were observed in the winters of 2016 and 2017, as well as
prior to that in the 1970s. The model shows good agreement with satellite observations of the 2017 areal extent and time evolution of the MRP. E3SM-HR
frequently produces several other types of OOPs, such as the WSP, concurrent MRP and WSP events, and embayment-shaped polynyas. Aside from the latter,
all of these were observed in the 1970s.</p>
      <p id="d1e3272">We subsequently investigated dense water formation in E3SM-HR on the continental shelf and in the Weddell Sea using  WMT analysis. We found
significant positive WMT rates on the Antarctic continental shelf, which are almost entirely due to brine rejection by sea ice formation
there. However, the positive WMT rates occur at lower densities than expected. Instead, the densest water masses are formed in the interior Weddell
Sea when heat is transferred from the deep ocean to the surface and then to the atmosphere during OOP events.</p>
      <p id="d1e3275">We found that E3SM-HR has overly strong polar easterlies, resulting in a strong ASC separating cold and fresh water nearly everywhere on the
continental shelf from warm and salty CDW further offshore. Anomalously strong polar easterlies also lead to overly strong southward surface Ekman
transport, sea ice build-up near the coast, and consequent excessive sea ice melting on the continental shelf in the summer season. This in turn is
mostly responsible for the ambient density of seawater on the continental shelf being too low throughout the year in E3SM-HR, producing a large
density contrast between the continental shelf and waters further offshore.  On the other hand, in the interior Weddell Sea, E3SM-HR allows for an
alternative method of deep ocean ventilation via deep ocean convection, strong air–sea interactions, and dense water formation during OOP events,
consistent with findings from previous modeling studies <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx2 bib1.bibx30" id="paren.104"/>.</p>
      <p id="d1e3281">The strong polar easterlies in E3SM-HR are due to an overly deep subpolar low-pressure system around 60–70<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, which also causes an
intensification of the cyclonic ocean circulation in the Weddell Sea (Weddell Gyre). Studies of WSPs <xref ref-type="bibr" rid="bib1.bibx9" id="paren.105"><named-content content-type="pre">e.g.,</named-content></xref> suggest
that the intensification of the Weddell Gyre is one of the possible preconditioning mechanisms for WSPs due to the Ekman pumping and raising of
isopycnals in the center of the gyre. Thus, overly deep subpolar low-pressure systems may impact both OOP phenomena and the water mass formation
occurring in coastal polynyas.</p>
      <p id="d1e3299">Regardless of the biases described above, we have shown here that fully coupled, high-resolution E3SM simulations can partially reproduce Antarctic
coastal polynyas, an important advancement given their importance as a source of AABW formation and that AABW formation processes are currently underrepresented
or misrepresented in most ESMs. <xref ref-type="bibr" rid="bib1.bibx64" id="text.106"/> suggest that increased submarine melting of Antarctic ice shelves may reduce AABW
formation by offsetting salt fluxes during sea ice formation in coastal polynyas, a change that could then prevent full-depth convection and the
formation of dense shelf water. This hypothesis is supported by the simulations and WMT analyses of <xref ref-type="bibr" rid="bib1.bibx28" id="text.107"/>, wherein the impacts of
explicitly including submarine ice shelf melt fluxes in a low-resolution ESM were explored. Future work should focus on better understanding the
impacts of both high spatial resolution and sub-ice-shelf melting on simulations of Antarctic coastal polynyas, dense water formation, ocean
stratification, and the potential feedback between these processes.</p>
</sec>

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

      <p id="d1e3312">The data from the high-resolution and low-resolution E3SM simulations are available from <uri>https://esgf-node.llnl.gov/search/e3sm/</uri> (last access: 20 January 2023, <xref ref-type="bibr" rid="bib1.bibx6" id="altparen.108"/>). The ocean temperature and salinity from WOA18 can be accessed at <uri>https://www.ncei.noaa.gov/access/world-ocean-atlas-2018</uri> (last access:  15 September 2022, <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx85" id="altparen.109"/>). The SOSE dataset can be obtained from <uri>http://sose.ucsd.edu/</uri> (last access: 15 December 2018, <xref ref-type="bibr" rid="bib1.bibx43" id="altparen.110"/>). The E3SM source code and the standard setup files can be obtained from <uri>https://github.com/E3SM-Project/E3SM</uri> (last access: 23 April 2018, <ext-link xlink:href="https://doi.org/10.11578/E3SM/dc.20180418.36" ext-link-type="DOI">10.11578/E3SM/dc.20180418.36</ext-link>, <xref ref-type="bibr" rid="bib1.bibx14" id="altparen.111"/>). The data analysis was conducted using the software NCAR Command Language (<xref ref-type="bibr" rid="bib1.bibx76" id="year.112"/>, <ext-link xlink:href="https://doi.org/10.5065/D6WD3XH5" ext-link-type="DOI">10.5065/D6WD3XH5</ext-link>).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3349">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/tc-17-2681-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/tc-17-2681-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3358">HJ, AKT, AFR, and MV designed this study. PMC, JDW, and AM ran the simulations. HJ made the plots, performed the analysis, and wrote a draft of the paper. SFP, XSAD, LPVR, WL, and HSP provided important guidance, while all the authors discussed and revised the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3364">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="d1e3370">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3376">The authors thank three anonymous reviewers for their helpful and constructive comments, which helped us improve the paper. The authors thank Andrew F. Thompson and Andrew L. Stewart for providing access to the CTD observational data in Fig. <xref ref-type="fig" rid="Ch1.F7"/>.  E3SM simulations used computing resources from the Argonne Leadership Computing Facility (U.S.<?pagebreak page2697?> DOE contract DE-AC02-06CH11357), the National Energy Research Scientific Computing Center (U.S. DOE contract DE-AC02-05CH11231), and the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory (U.S. DOE contract DE-AC05-00OR22725), awarded under an ASCR Leadership Computing Challenge (ALCC).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3383">This research has been supported by the Energy Exascale Earth System Model (E3SM) project, funded by the U.S. Department of Energy
Office of Science, Biological and Environmental Research program, and the research fund of Hanyang University (HY-2020-2829). Peter Caldwell's work at Lawrence Livermore National Laboratory was supported under DOE contract DE-AC52-07NA27344.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3390">This paper was edited by Kerim Nisancioglu and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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