<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<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">OS</journal-id><journal-title-group>
    <journal-title>Ocean Science</journal-title>
    <abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1812-0792</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/os-21-359-2025</article-id><title-group><article-title>Turbulent heat flux dynamics along the Dotson and Getz ice-shelf fronts (Amundsen Sea, Antarctica)</article-title><alt-title>Turbulent dynamics along the Dotson and Getz fronts</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Jacob</surname><given-names>Blandine</given-names></name>
          <email>blandi.jacob@gmail.com</email>
        <ext-link>https://orcid.org/0009-0006-6028-182X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Queste</surname><given-names>Bastien Y.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3786-2275</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>du Plessis</surname><given-names>Marcel D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2759-2467</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Marine Sciences, University of Gothenburg, Gothenburg, Sweden</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Blandine Jacob (blandi.jacob@gmail.com)</corresp></author-notes><pub-date><day>7</day><month>February</month><year>2025</year></pub-date>
      
      <volume>21</volume>
      <issue>1</issue>
      <fpage>359</fpage><lpage>379</lpage>
      <history>
        <date date-type="received"><day>4</day><month>July</month><year>2024</year></date>
           <date date-type="rev-request"><day>17</day><month>July</month><year>2024</year></date>
           <date date-type="rev-recd"><day>23</day><month>November</month><year>2024</year></date>
           <date date-type="accepted"><day>9</day><month>December</month><year>2024</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Blandine Jacob et al.</copyright-statement>
        <copyright-year>2025</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025.html">This article is available from https://os.copernicus.org/articles/21/359/2025/os-21-359-2025.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/21/359/2025/os-21-359-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e95">In coastal polynyas, where sea-ice formation and melting occur, it is crucial to have accurate estimates of heat fluxes in order to predict future sea-ice dynamics. The Amundsen Sea Polynya is a coastal polynya in Antarctica that remains poorly observed by in situ observations because of its remoteness. Consequently, we rely on models and reanalysis that are un-validated against observations to study the effect of atmospheric forcing on polynya dynamics. We use austral summer 2022 shipboard data to understand the turbulent heat flux dynamics in the Amundsen Sea Polynya and evaluate our ability to represent these dynamics in ERA5. We show that cold- and dry-air outbreaks from Antarctica enhance air–sea temperature and humidity gradients, triggering episodic heat loss events. The ocean heat loss is larger along the ice-shelf front, and it is also where the ERA5 turbulent heat flux exhibits the largest biases, underestimating the flux by up to 141 W m<sup>−2</sup> due to its coarse resolution. By reconstructing a turbulent heat flux product from ERA5 variables using a nearest-neighbor approach to obtain sea surface temperature, we decrease the bias to 107 W m<sup>−2</sup>. Using a 1D model, we show that the mean co-located ERA5 heat loss underestimation of 28 W m<sup>−2</sup> led to an overestimation of the summer evolution of sea surface temperature (heat content) by <inline-formula><mml:math id="M4" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.76 °C (<inline-formula><mml:math id="M5" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>8.2<inline-formula><mml:math id="M6" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>10<sup>7</sup> J) over 35 d. By obtaining the reconstructed flux, the reduced heat loss bias (12 W m<sup>−2</sup>) reduced the seasonal bias in sea surface temperature (heat content) to <inline-formula><mml:math id="M9" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.17 °C (<inline-formula><mml:math id="M10" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>3.30 <inline-formula><mml:math id="M11" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> J) over the 35 d. This study shows that caution should be applied when retrieving ERA5 turbulent flux along the ice shelves and that a reconstructed flux using ERA5 variables shows better accuracy.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>European Research Council</funding-source>
<award-id>821001</award-id>
<award-id>741120</award-id>
</award-group>
<award-group id="gs2">
<funding-source>UK Research and Innovation</funding-source>
<award-id>NE/S006419/1</award-id>
<award-id>NE/W007045/1</award-id>
</award-group>
<award-group id="gs3">
<funding-source>National Science Foundation</funding-source>
<award-id>1929991</award-id>
<award-id>1941483</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e219">Among other properties such as momentum, gas, and moisture, the atmosphere and the ocean exchange heat, which maintains the Earth's energy balance <xref ref-type="bibr" rid="bib1.bibx53" id="paren.1"/>. The climate is highly controlled by the ocean, notably because the ocean has the ability to absorb heat from the atmosphere and to redistribute it poleward <xref ref-type="bibr" rid="bib1.bibx3" id="paren.2"/>. The ocean is thus the largest heat sink on Earth, absorbing 91 % of the excess heat due to greenhouse gases <xref ref-type="bibr" rid="bib1.bibx17" id="paren.3"/>. The exchange of heat between the ocean and the atmosphere – or air–sea heat flux – is therefore a crucial process to predict the current and future weather (through heat and moisture released into the atmosphere), upper-ocean physics (sea surface temperature (SST) variability, sea-ice formation and melting, heat content (HC) in the mixed layer), climate (e.g., teleconnections such as El Niño), and the ensuing impacts on society (e.g., agriculture, health, water resources) <xref ref-type="bibr" rid="bib1.bibx13" id="paren.4"/>. Because of the importance of air–sea heat fluxes, the scientific community calls for reducing uncertainties to have better flux estimates <xref ref-type="bibr" rid="bib1.bibx13" id="paren.5"/>. By increasing the number of observations, our understanding of fluxes can be enhanced and the associated uncertainties reduced <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx46 bib1.bibx53 bib1.bibx5" id="paren.6"/>.</p>
      <p id="d2e241">Polar regions are poorly observed because of their remoteness and harsh conditions, which implies that we have a particular lack of understanding of the flux dynamics there. In particular, the Southern Ocean south of 60° S has been identified by <xref ref-type="bibr" rid="bib1.bibx46" id="text.7"/> as a targeted observation region for the ongoing decade. The Amundsen Sea, West Antarctica (Fig. <xref ref-type="fig" rid="Ch1.F1"/>), is a shelf sea south of 60° S seasonally covered by sea ice and with few historical observations. However, scientific efforts have been concentrated there recently, for example, through the International Thwaites Glacier Collaboration <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx39" id="paren.8"/> due to adjacent melting glaciers and one of the most biologically productive coastal polynyas (the Amundsen Sea Polynya, ASP) in the Antarctic <xref ref-type="bibr" rid="bib1.bibx1" id="paren.9"/>.</p>
      <p id="d2e255">Polynyas are defined based on their opening mechanism. The ASP is a wind-driven latent heat polynya that forms along the coastline. It has a mean open-water area in the austral summer of 27 333 km<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula> 8749 km<sup>2</sup> and an average duration of 131.9 <inline-formula><mml:math id="M15" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17.5 d over 1997–2010 <xref ref-type="bibr" rid="bib1.bibx2" id="paren.10"/>. In comparison to the surrounding sea ice that acts as a lid, the polynya operates as an open window that enables direct exchange with the atmosphere <xref ref-type="bibr" rid="bib1.bibx42" id="paren.11"/>. During winter, shelf water latent heat polynyas like the ASP usually gain the “sea-ice factory” nickname <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx33" id="paren.12"/> because sea ice is continually created and conveyed away by winds or currents. On the other hand, in summer the latent heat polynyas are “ice-melting factories”, as the low albedo of open water compared to the surrounding sea ice favors solar heating, resulting in melting sea ice. To be able to better predict sea-ice formation and melting in the Amundsen Sea, we therefore need to improve our knowledge of heat exchange in the ASP region.</p>
      <p id="d2e296">Air–sea heat fluxes must also be considered in the context of the broader atmospheric circulation. In the Southern Ocean near the polar front at 54° S, 89° W, <xref ref-type="bibr" rid="bib1.bibx32" id="text.13"/> show that the advection of cold and dry air triggers ocean heat loss. In the Amundsen Sea, <xref ref-type="bibr" rid="bib1.bibx34" id="text.14"/> showed from ERA-Interim data that the Amundsen Sea is a hotspot for cold-air outbreaks (CAOs), which contribute to the turbulent loss. CAOs are the equatorward intrusion of cold air over the warmer ocean <xref ref-type="bibr" rid="bib1.bibx34" id="paren.15"/>. The large-scale atmospheric system also impacts sea ice: in 2022, the Amundsen Sea Low (ASL), a quasistationary low-pressure center, enhanced sea-ice melting <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx50" id="paren.16"/>.</p>
      <p id="d2e312">Without available air–sea heat flux observations, previous studies in the Amundsen Sea or other Antarctic coastal seas have relied on global reanalysis products <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx55 bib1.bibx54 bib1.bibx34" id="paren.17"><named-content content-type="pre">e.g.,</named-content></xref>. A global climate reanalysis product combines observations and past forecasts through data assimilation, providing gridded data with a regular temporal resolution. The ERA5 reanalysis, produced by the European Centre for Medium-range Weather Forecasts <xref ref-type="bibr" rid="bib1.bibx19" id="paren.18"><named-content content-type="pre">ECMWF; </named-content></xref> and its predecessor (ERA-Interim) are considered the most robust reanalyses in Antarctica <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx6" id="paren.19"/> and in the Amundsen Sea <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx23" id="paren.20"/>. However, ERA5's ability to reproduce the flux magnitude and variability in the Amundsen Sea, particularly near important boundaries such as ice-shelf fronts, has not been validated.</p>
      <p id="d2e331">The air–sea heat flux has two components: the radiative flux (sum of the shortwave and longwave radiation) and the turbulent flux (sum of the sensible and latent fluxes). The turbulent heat flux is the main air–sea heat flux component during winter, whereas the radiative component dominates during summer <xref ref-type="bibr" rid="bib1.bibx28" id="paren.21"/>. Despite the importance of the radiative component in summer, key atmospheric conditions could set the scene for important episodic heat loss events. We hypothesize that the Amundsen Sea has high potential for turbulent loss due to cold, dry air and relatively warm SST in summer (above freezing temperature). We perform the first study of the turbulent heat flux (THF) in the Amundsen Sea based on austral summer in situ observations, and we (i) identify the temporal and spatial variability in the 2022 THF from shipboard observations, (ii) assess ERA5's accuracy at representing these fluxes, and (iii) investigate the relative importance of THF on the summer evolution of SST. Our findings provide evidence of the synoptic-scale air–sea interactions in the ASP and their impact on the summer evolution of SST.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data</title>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Observations – shipboard and glider data</title>
      <p id="d2e359">The meteorology system and thermosalinograph of the research vessel (RV) <italic>Nathaniel B. Palmer</italic> recorded the variables listed in Table <xref ref-type="table" rid="Ch1.T1"/> over 57 d. We use these observations to compute the bulk THF; the computation method is described in Sec. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS1"/>. The ship departed Punta Arenas (Chile) on 6 January 2022, reaching the Amundsen Sea (72° S, 117° W) on 15 January 2022. It then entered the polynya region and spent 31 d within 20 km of the Dotson or Getz ice shelves and finally left the polynya region on 25 February 2022 (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b). To determine the THF and be consistent with ERA5's temporal resolution, we compute hourly means of the variables in Table <xref ref-type="table" rid="Ch1.T1"/>. The initial resolution was 1 min. The hourly position of the ship is used to create a classification: Southern Ocean, open ocean in the polynya region (ship more than 20 km away from the coastline), in front of the Dotson or Getz ice shelves (ship within 20 km), and in a sea-ice-covered region (where the sea-ice concentration (SIC) is larger than 0.15). The RV <italic>Nathaniel B. Palmer</italic> presumably avoided regions of higher sea-ice concentration on its transit to the Amundsen Sea. Airflow distortion of the wind speed values caused by the superstructure of the RV <italic>Nathaniel B. Palmer</italic> was negligible (Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>, Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>); we therefore did not perform any correction. Several conductivity, temperature, and depth (CTD) casts were taken during the research campaign. In the present study we use one, taken at 74.02° S, 113° W in front of Dotson Ice Shelf (Fig. 1a, blue square) to initialize the 1D PWP (Price–Weller–Pinkel) model (see the model description in Sect. 2.2.2).</p>

<table-wrap id="Ch1.T1"><label>Table 1</label><caption><p id="d2e387">Sensors installed and variables used in this study recorded by the RV <italic>Nathaniel B. Palmer</italic>.</p></caption><oasis:table frame="topbot"><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="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Unit</oasis:entry>
         <oasis:entry colname="col3">Sensor</oasis:entry>
         <oasis:entry colname="col4">Height</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[m]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Air temperature</oasis:entry>
         <oasis:entry colname="col2">°C</oasis:entry>
         <oasis:entry colname="col3">R.M. Young 41372LC</oasis:entry>
         <oasis:entry colname="col4">19.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SST</oasis:entry>
         <oasis:entry colname="col2">°C</oasis:entry>
         <oasis:entry colname="col3">Seabird SBE 38</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wind speed</oasis:entry>
         <oasis:entry colname="col2">m s<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">Gill 1390-PK-062</oasis:entry>
         <oasis:entry colname="col4">34.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Relative humidity</oasis:entry>
         <oasis:entry colname="col2">%</oasis:entry>
         <oasis:entry colname="col3">R.M. Young 41372LC</oasis:entry>
         <oasis:entry colname="col4">19.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Longwave radiation</oasis:entry>
         <oasis:entry colname="col2">W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col3">Eppley PIR</oasis:entry>
         <oasis:entry colname="col4">33.78</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shortwave radiation</oasis:entry>
         <oasis:entry colname="col2">W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col3">Eppley PSP</oasis:entry>
         <oasis:entry colname="col4">33.78</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e574">We use Conservative Temperature, Absolute Salinity, and pressure from an ocean profiling Seaglider that was deployed during the ship campaign to compute the daily HC in the upper 40 m of the water column. The glider was deployed on 17 January 2022 in front of Dotson Ice Shelf (73.8° S, 112.6° W). It sampled to the seabed, with a maximum of 901 m, surfacing between each dive. The glider then headed south towards the ice shelf and returned north along the Dotson–Getz trough before being recovered on 4 February 2022 (red transect, Fig. <xref ref-type="fig" rid="Ch1.F1"/>a). A total of 286 profiles were collected. The data are gridded horizontally per profile and vertically with a resolution of 2 m.</p>

      <fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e582"><bold>(a, b)</bold> Antarctica in black, with ice shelves from BedMachine  <xref ref-type="bibr" rid="bib1.bibx30" id="paren.22"/> in white. <bold>(a)</bold> The background is bathymetry from RTopo <xref ref-type="bibr" rid="bib1.bibx41" id="paren.23"/>; the blue square is the CTD cast location used to force the 1D model, and the glider transect is in red. Dotson and Getz ice shelves (DIS; GIS) are indicated in red. <bold>(b)</bold> Sea-ice concentration from the ARTIST sea ice (ASI) algorithm on 19 February 2022 (downloaded from <uri>https://data.seaice.uni-bremen.de</uri>, last access: 13 January 2025; <xref ref-type="bibr" rid="bib1.bibx43" id="altparen.24"/>); the RV transect is indicated by the points colored by the location classification. The red box on the zoomed-out map is the Amundsen Sea plotted on <bold>(a)</bold> and <bold>(b)</bold>.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f01.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Reanalysis dataset – ERA5</title>
      <p id="d2e626">In this study, we assess ERA5 by comparing its hourly mean THF with the THF computed from the observations. We also use some of ERA5's hourly mean meteorological and sea surface variables to recalculate the THF (Table <xref ref-type="table" rid="Ch1.T2"/>). ERA5 is a global reanalysis product that provides “maps without gap” of atmospheric and sea surface variables <xref ref-type="bibr" rid="bib1.bibx19" id="paren.25"/>. It has a hourly temporal resolution and a regular  0.25° latitude–longitude grid. To co-locate its variables to the ship data, we use the nearest-neighbor grid cell and the corresponding hour (as the ship data have been hourly averaged).</p>

<table-wrap id="Ch1.T2"><label>Table 2</label><caption><p id="d2e637">ERA5 variables used in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Unit</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2 m temperature</oasis:entry>
         <oasis:entry colname="col2">K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SST</oasis:entry>
         <oasis:entry colname="col2">K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2 m dewpoint temperature</oasis:entry>
         <oasis:entry colname="col2">K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wind (zonal and meridional components)</oasis:entry>
         <oasis:entry colname="col2">m s<sup>−1</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean surface net shortwave radiation flux</oasis:entry>
         <oasis:entry colname="col2">W m<sup>−2</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean surface net longwave radiation flux</oasis:entry>
         <oasis:entry colname="col2">W m<sup>−2</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean surface latent heat flux</oasis:entry>
         <oasis:entry colname="col2">W m<sup>−2</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean surface sensible heat flux</oasis:entry>
         <oasis:entry colname="col2">W m<sup>−2</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Satellite-based data – sea-ice concentration from the ARTIST sea-ice algorithm</title>
      <p id="d2e800">We use sea-ice concentration to determine when the research vessel was surrounded by sea ice (15 % threshold) for the location classification (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b). We select the satellite-based sea-ice product ARTIST sea ice (ASI) created by Bremen University <xref ref-type="bibr" rid="bib1.bibx43" id="paren.26"><named-content content-type="post">data downloaded from <uri>https://data.seaice.uni-bremen.de/amsr2</uri></named-content></xref>. The ASI algorithm takes input data from the Advanced Microwave Scanning Radiometer 2 (AMSR2, Level 1B) – a sensor operating on the JAXA satellite GCOM-W1 – and outputs gridded data (Level 3, grid space is 3.125 or 6.25 km). The temporal resolution is daily; the selected output grid space for this study is 3.125 km. The ASI algorithm has been validated against observations and shows good performance <xref ref-type="bibr" rid="bib1.bibx43" id="paren.27"/>. It should be noted that during the research cruise, the sea ice gradually melted, so from February 2022 onwards, we can no longer really speak of a polynya, as only a tongue of ice attached to Thwaites Ice Shelf remains visible in the satellite-derived product (<uri>https://data.seaice.uni-bremen.de/databrowser/</uri>, last access: 13 January 2025). We therefore refer to the polynya <italic>region</italic>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Methods</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Turbulent heat flux computation and analyses – COARE 3.5 algorithm, Reynolds decomposition, and indices of contribution</title>
      <p id="d2e837">The THF is the sum of the latent heat flux (LHF) and the sensible heat flux (SHF). The LHF is related to the air–sea heat exchange originating from the sea surface evaporation, whereas the SHF arises from the air–sea temperature gradient. We use the Coupled Ocean–Atmosphere Response Experiment (COARE) 3.5 algorithm <xref ref-type="bibr" rid="bib1.bibx14" id="paren.28"/> through AirSeaFluxCode <xref ref-type="bibr" rid="bib1.bibx4" id="paren.29"/> to compute the THF from the observations. The COARE 3.5 algorithm relies on bulk parameterizations: the LHF and SHF are computed as a function of air density (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), wind speed measured at height <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), the transfer coefficient corresponding to the measured height <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of humidity and temperature, and the measured height <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the wind speed (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>). For the SHF (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>), the specific heat capacity (<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and air–sea temperature gradient <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">air</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">skin</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are calculated; for the LHF (Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>), the latent heat of vaporization (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and air–sea humidity gradient <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi mathvariant="normal">air</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are calculated.

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M36" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">air</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">skin</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi mathvariant="normal">air</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e1209">The AirSeaFluxCode applies a logarithmic correction to the transfer coefficient definitions (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) to account for the height <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of wind speed and <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of air temperature and humidity measurements <xref ref-type="bibr" rid="bib1.bibx4" id="paren.30"/>. Atmospheric stability is accounted for in the definition of the transfer coefficients <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> through stability functions. The measured relative humidity is converted to saturated humidity using the saturation vapor pressure function from <xref ref-type="bibr" rid="bib1.bibx8" id="text.31"/>. Warm-layer and cool-skin corrections are applied to convert the measured SST (Table <xref ref-type="table" rid="Ch1.T1"/>) to skin SST, as is required in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>). These corrections follow <xref ref-type="bibr" rid="bib1.bibx15" id="text.32"/>. The COARE 3.5 algorithm requires wind speed relative to the ocean surface. Here, we assume that the ocean currents are low in comparison to the wind speed and neglect them. We find this reasonable, as <xref ref-type="bibr" rid="bib1.bibx24" id="text.33"/> have shown from recording current meters installed on a 2-year mooring that the coastal surface current in the Amundsen Sea is about 0.2 cm s<sup>−1</sup>, which is 0.03 % of the mean wind speed (7.9 m s<sup>−1</sup>; Fig. <xref ref-type="fig" rid="Ch1.F2"/>a) in our dataset. The flux convention is downward, which means that a negative (positive) flux corresponds to a heat loss (gain) for the ocean surface.</p>
      <p id="d2e1354">To account for the insulating effect of sea ice, we scale the turbulent fluxes by the sea-ice concentration (SIC) when SIC <inline-formula><mml:math id="M45" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 15 % (Eqs. <xref ref-type="disp-formula" rid="Ch1.E3"/>, <xref ref-type="disp-formula" rid="Ch1.E4"/>, and  <xref ref-type="disp-formula" rid="Ch1.E5"/>). We acknowledge that this is a simplified method to account for the sea-ice effect on turbulent fluxes but accept this, considering the small amount of time spent by the RV in a sea-ice-covered area (3 d out of 57 d) and the low importance of the flux variability in sea ice for the results of this study.</p>
      <p id="d2e1370"><disp-formula specific-use="gather" content-type="numbered"><mml:math id="M46" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where
              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M47" display="block"><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable rowspacing="0.2ex" columnspacing="1em" class="cases" columnalign="left left" framespacing="0em"><mml:mtr><mml:mtd><mml:mi mathvariant="normal">SIC</mml:mi></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">if</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">SIC</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">if</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">SIC</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            We perform a Reynolds decomposition to analyze the flux variability. We decompose SHF and LHF into the sum of their average (denoted by an  overline) and their anomaly (denoted by <sup>′</sup>): SHF <inline-formula><mml:math id="M49" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mover accent="true"><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> <inline-formula><mml:math id="M51" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> SHF<sup>′</sup> and LHF <inline-formula><mml:math id="M53" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M54" display="inline"><mml:mover accent="true"><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> <inline-formula><mml:math id="M55" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LHF<sup>′</sup>. We follow the same method as in <xref ref-type="bibr" rid="bib1.bibx47" id="text.34"/>, <xref ref-type="bibr" rid="bib1.bibx11" id="text.35"/>, and <xref ref-type="bibr" rid="bib1.bibx51" id="text.36"/> except that we do not neglect the contributions of <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, as they are more than 5 % of their mean values <xref ref-type="bibr" rid="bib1.bibx10" id="paren.37"><named-content content-type="pre">not shown; criteria following</named-content></xref>. We replace the variables <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">air</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">skin</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi mathvariant="normal">air</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Eqs. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) and (<xref ref-type="disp-formula" rid="Ch1.E2"/>) with the sum of their mean and anomaly (details in Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>). Finally, we obtain

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M64" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msup><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo mathsize="2.5em">[</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>t term</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>u term</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>ct term</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>t–u term</mml:mtext></mml:munder></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>t–ct term</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>(</mml:mo><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>u–ct term</mml:mtext></mml:munder></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>cov term</mml:mtext></mml:munder><mml:mo mathsize="2.5em">]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msup><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mo mathsize="2.5em">[</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>q term</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>u term</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>cq term</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>q–u term</mml:mtext></mml:munder></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>q–cq term</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>(</mml:mo><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>u–cq term</mml:mtext></mml:munder></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>cov term</mml:mtext></mml:munder><mml:mo mathsize="2.5em">]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e2419">LHF<sup>′</sup> and SHF<sup>′</sup> are the flux variability around the mean. We establish indices of contribution for each term in Eqs. (<xref ref-type="disp-formula" rid="Ch1.E6"/>) and (<xref ref-type="disp-formula" rid="Ch1.E7"/>), following <xref ref-type="bibr" rid="bib1.bibx51" id="text.38"/>. To quantify the contribution of a term <inline-formula><mml:math id="M67" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M68" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> has to be substituted by one of the terms defined in Eqs. (<xref ref-type="disp-formula" rid="Ch1.E6"/>) and (<xref ref-type="disp-formula" rid="Ch1.E7"/>)) to the flux anomaly <inline-formula><mml:math id="M69" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>Y</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M71" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> for the LHF<sup>′</sup> and <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi>Y</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M74" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> for the SHF<sup>′</sup>), we compute the absolute value of the X term and divide it by the sum of the absolute values of the seven terms (Eq. <xref ref-type="disp-formula" rid="Ch1.E8"/>).
              <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M76" display="block"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo fence="true">|</mml:mo><mml:mtext>X term</mml:mtext><mml:mo fence="true">|</mml:mo></mml:mrow><mml:mrow><mml:mo>∑</mml:mo><mml:mo fence="true">|</mml:mo><mml:mi mathvariant="normal">all</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">terms</mml:mi><mml:mo fence="true">|</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2568">Therefore, the contribution indices <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> have values between 0 and 1, and their sum equals 1. The closer to 1 <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is, the larger the contribution of the term <inline-formula><mml:math id="M79" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> is to the flux anomaly SHF<sup>′</sup> or LHF<sup>′</sup>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Turbulent heat flux impact on the sea surface temperature and the heat content – 1D model</title>
      <p id="d2e2638">The 1D mixed-layer model PWP <xref ref-type="bibr" rid="bib1.bibx35" id="paren.39"><named-content content-type="pre">Price–Weller–Pinkel;</named-content></xref> is used to investigate the relative impact of the different THF estimates, produced using observations and ERA5, on the SST and HC. The model needs two input files: one contains the initial ocean state (temperature and salinity profiles), and the other contains a time series of the atmospheric forcing (radiative flux, turbulent flux, freshwater flux, and momentum flux). The initial ocean profile (Fig. <xref ref-type="fig" rid="App1.Ch1.S3.F12"/>) comes from a CTD cast in front of Dotson Ice Shelf (74.0° S, 113° W; Fig. <xref ref-type="fig" rid="Ch1.F1"/>a, blue square). We carry out four simulations with forcings from the observations and ERA5 that differ only in the THF (Fig. <xref ref-type="fig" rid="App1.Ch1.S3.F13"/>e, g) in order to isolate its effect. The input freshwater flux only contains precipitation and evaporation; freshwater input from melting sea ice was not considered in this study. We consider this reasonable, as 2022 was a record-low sea-ice year <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx50" id="paren.40"/>, and most of the sea-ice melt had already occurred in the polynya region (<uri>https://data.seaice.uni-bremen.de/databrowser/</uri>, last access: 31 January 2025). The four simulations are further detailed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>. We remove the Southern Ocean data to focus on the polynya region. The simulations are accomplished with the aim of (i) evaluating if the ERA5 flux co-location/computation method is important, (ii) verifying if any bias was induced by a moving ship, and (iii) retrieving daily changes in SST and HC due to THF and comparing them to the observations from the glider and the ship. We compute the ocean HC (Eq. <xref ref-type="disp-formula" rid="Ch1.E9"/>) across the upper 40 m of the water column because all four simulations converge below 40 m (Fig. <xref ref-type="fig" rid="Ch1.F9"/>g). <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the mean potential density in the first 40 m, computed from Absolute Salinity and Conservative Temperature; <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mean specific heat capacity in the first 40 m, computed from Absolute Salinity, in situ temperature, and sea pressure; and <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the Conservative Temperature.
              <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M85" display="block"><mml:mrow><mml:mi mathvariant="normal">HC</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:munderover><mml:msub><mml:mi>C</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:math></disp-formula></p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>In situ observations – turbulent heat flux characteristics in the Amundsen Sea</title>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Turbulent heat flux variability – the leading component in the Amundsen Sea</title>
      <p id="d2e2768">First, we analyze the THF computed from the ship observations (Fig. <xref ref-type="fig" rid="Ch1.F2"/>) to understand the heat flux magnitude and variability in the Amundsen Sea (Fig. <xref ref-type="fig" rid="Ch1.F3"/>).</p>

      <fig id="Ch1.F2"><label>Figure 2</label><caption><p id="d2e2777">Main sea surface and atmospheric variables. The colors on top of the first time series are the classification of the position of the RV <italic>Nathaniel B. Palmer</italic>. Note that no sea ice was found near the ice-shelf front. The red area is the heat loss event selected for the case study (Sect. <xref ref-type="sec" rid="Ch1.S3.SS1.SSS3"/>). The gray area in <bold>(f)</bold> represents the wind direction when blowing from 135 to 225°, i.e., blowing from the southwest, south, and southeast.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f02.png"/>

          </fig>

      <p id="d2e2794">The Amundsen Sea (comprising the polynya region and along the ice shelves in the classification) lost on average more turbulent heat (<inline-formula><mml:math id="M86" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>52 W m<sup>−2</sup>, SD <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 51 W m<sup>−2</sup>) than the Southern Ocean region (<inline-formula><mml:math id="M90" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>30 W m<sup>−2</sup>, SD <inline-formula><mml:math id="M92" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 26 W m<sup>−2</sup>; Fig. <xref ref-type="fig" rid="Ch1.F3"/>e). The largest instantaneous heat loss events were also observed in the Amundsen Sea (the maximum is <inline-formula><mml:math id="M94" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>230 W m<sup>−2</sup> versus <inline-formula><mml:math id="M96" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>145 W m<sup>−2</sup> in the Southern Ocean). In particular,  more than 97 % of the turbulent heat loss events larger than 150 W m<sup>−2</sup> occurred when the ship was within 20 km of the Dotson or Getz ice shelves (purple classification, Fig. <xref ref-type="fig" rid="Ch1.F3"/>).</p>

      <fig id="Ch1.F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2932">Ship observations of <bold>(a, b)</bold> latent heat flux, <bold>(c, d)</bold> sensible heat flux, and <bold>(e, f)</bold> the sum of the two: the turbulent heat flux. A positive heat flux is a gain by the ocean (downward convention). The colors on top of the first time series and the red area are as in Fig. <xref ref-type="fig" rid="Ch1.F2"/>.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f03.png"/>

          </fig>

      <p id="d2e2952">Within the polynya region, the THF variations (Fig. <xref ref-type="fig" rid="Ch1.F3"/>e) were linked to short-scale SHF loss between <inline-formula><mml:math id="M99" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>90 and <inline-formula><mml:math id="M100" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>140 W m<sup>−2</sup> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c), while in the Southern Ocean, the largest turbulent heat loss events (Fig. <xref ref-type="fig" rid="Ch1.F3"/>e) were driven by the LHF loss (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a).</p>
      <p id="d2e2990">Throughout the time series, the LHF contributed most to the net THF loss, accounting for an average of 57 % of the THF. This is evidenced by the mode of both the LHF and THF being between <inline-formula><mml:math id="M102" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 and <inline-formula><mml:math id="M103" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 W m<sup>−2</sup>, whilst for the SHF, the mode is between <inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 and 10 W m<sup>−2</sup> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b, d, f). Thus, while the LHF contributed the most to the total THF, the most significant short-term (days to weeks) THF loss events were imputed to large SHF losses.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Turbulent heat flux decomposition – enhanced air–sea temperature and humidity gradients responsible for large episodic heat loss events</title>
      <p id="d2e3049">Below, we investigate the key drivers of the variability in the THF. We decompose the flux anomalies into different terms (Eqs. <xref ref-type="disp-formula" rid="Ch1.E6"/>, <xref ref-type="disp-formula" rid="Ch1.E7"/>). These terms indicate the contributions to SHF<sup>′</sup> and LHF<sup>′</sup> of the temperature gradient (t term), humidity gradient (q term), wind speed (u term), transfer coefficients (ct term and cq term), and the cross-contribution of the following variables: second-order terms (t–u term, q–u term, u–cq term, etc.) and a third-order term or residual (covariance term) (Fig. <xref ref-type="fig" rid="Ch1.F4"/>).</p>

      <fig id="Ch1.F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3078"><bold>(a)</bold> Mean SHF<sup>′</sup> and <bold>(b)</bold> mean LHF<sup>′</sup> in black rectangles binned by 20 or 40 W m<sup>−2</sup> (for the first and the last bins). The numbers outside of the black rectangles are the mean values of the SHF<sup>′</sup> <bold>(a)</bold> and LHF<sup>′</sup> <bold>(b)</bold> for the corresponding bin. The colored bars inside the black rectangles are the different terms from Eqs. (<xref ref-type="disp-formula" rid="Ch1.E6"/>) and (<xref ref-type="disp-formula" rid="Ch1.E7"/>). Their sum gives SHF<sup>′</sup> and LHF<sup>′</sup>.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f04.png"/>

          </fig>

      <p id="d2e3170">The t term (associated with the anomalous air–sea temperature gradient) was larger than the sum of all the other terms (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a, blue color bars dominate). The indices of contribution of the terms (Table <xref ref-type="table" rid="Ch1.T3"/>) were calculated for each hourly data point and range between 0 and 1 to show the relative importance of one term compared to another. The t term was the most frequent dominating factor: 37 % of <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(t) values were above 0.5 (Table <xref ref-type="table" rid="Ch1.T3"/>). This indicates that in 37 % of the data, air–sea temperature gradients were responsible for more than 50 % of SHF<sup>′</sup>. Following the same arguments, the q term (the anomalous air–sea humidity gradient) contributed the most to LHF<sup>′</sup> (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b, blue color bars) but to a slightly lesser extent: above 33 % of LHF<sup>′</sup> values had <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(q) as the strict dominant factor.</p>

<table-wrap id="Ch1.T3" specific-use="star"><label>Table 3</label><caption><p id="d2e3235">Median and interquartile range (IQR) of the indices of contribution for the seven terms of the Reynolds decomposition. <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the contribution of the variable anomaly <inline-formula><mml:math id="M122" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> to LHF<sup>′</sup>; <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the contribution of the variable anomaly <inline-formula><mml:math id="M125" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> to SHF<sup>′</sup>.  An index of contribution higher than 0.5 means that the term is the strict dominant factor.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">ct</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">ct</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>u</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">ct</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cov</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Median</oasis:entry>
         <oasis:entry colname="col2">0.43</oasis:entry>
         <oasis:entry colname="col3">0.17</oasis:entry>
         <oasis:entry colname="col4">0.06</oasis:entry>
         <oasis:entry colname="col5">0.09</oasis:entry>
         <oasis:entry colname="col6">0.16</oasis:entry>
         <oasis:entry colname="col7">0.02</oasis:entry>
         <oasis:entry colname="col8">0.04</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IQR</oasis:entry>
         <oasis:entry colname="col2">0.29</oasis:entry>
         <oasis:entry colname="col3">0.26</oasis:entry>
         <oasis:entry colname="col4">0.04</oasis:entry>
         <oasis:entry colname="col5">0.09</oasis:entry>
         <oasis:entry colname="col6">0.10</oasis:entry>
         <oasis:entry colname="col7">0.03</oasis:entry>
         <oasis:entry colname="col8">0.02</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">% values <inline-formula><mml:math id="M135" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>
         <oasis:entry colname="col2">37.22 %</oasis:entry>
         <oasis:entry colname="col3">1.75 %</oasis:entry>
         <oasis:entry colname="col4">0 %</oasis:entry>
         <oasis:entry colname="col5">0 %</oasis:entry>
         <oasis:entry colname="col6">0 %</oasis:entry>
         <oasis:entry colname="col7">0 %</oasis:entry>
         <oasis:entry colname="col8">0 %</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>q</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">cq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>q</mml:mi><mml:mo>-</mml:mo><mml:mi>u</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">cq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cov</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Median</oasis:entry>
         <oasis:entry colname="col2">0.40</oasis:entry>
         <oasis:entry colname="col3">0.22</oasis:entry>
         <oasis:entry colname="col4">0.08</oasis:entry>
         <oasis:entry colname="col5">0.07</oasis:entry>
         <oasis:entry colname="col6">0.12</oasis:entry>
         <oasis:entry colname="col7">0.03</oasis:entry>
         <oasis:entry colname="col8">0.03</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IQR</oasis:entry>
         <oasis:entry colname="col2">0.28</oasis:entry>
         <oasis:entry colname="col3">0.19</oasis:entry>
         <oasis:entry colname="col4">0.08</oasis:entry>
         <oasis:entry colname="col5">0.07</oasis:entry>
         <oasis:entry colname="col6">0.09</oasis:entry>
         <oasis:entry colname="col7">0.04</oasis:entry>
         <oasis:entry colname="col8">0.02</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">% values <inline-formula><mml:math id="M144" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>
         <oasis:entry colname="col2">33.21 %</oasis:entry>
         <oasis:entry colname="col3">7.36 %</oasis:entry>
         <oasis:entry colname="col4">0 %</oasis:entry>
         <oasis:entry colname="col5">0 %</oasis:entry>
         <oasis:entry colname="col6">0 %</oasis:entry>
         <oasis:entry colname="col7">0 %</oasis:entry>
         <oasis:entry colname="col8">0 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3836">The decomposition indicates that the variability in the air–sea property gradient was the dominant factor impacting the variations in the THF. Further investigations show that the atmospheric variables (air temperature and humidity) control the air–sea property gradients. Indeed, the variability in the air temperature is higher (standard deviation (SD) <inline-formula><mml:math id="M145" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.62 °C) than the variability in the SST (SD <inline-formula><mml:math id="M146" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.13 °C; Fig. <xref ref-type="fig" rid="Ch1.F2"/>b, c). The same statement holds for the humidity: the air humidity has a higher variability (SD <inline-formula><mml:math id="M147" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.70 g kg<sup>−1</sup>) than the saturated humidity (SD <inline-formula><mml:math id="M149" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.32 g kg<sup>−1</sup>; Fig. <xref ref-type="fig" rid="Ch1.F2"/>d, e). The difference in SD is even larger when we remove the Southern Ocean data (not shown). These results indicate the importance of cold, dry air masses driving large heat loss events.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><title>Case study of the heat loss mechanism in the Amundsen Sea – cold and dry southerlies trigger the heat loss</title>
      <p id="d2e3904">To further analyze the heat loss mechanism in the Amundsen Sea, we investigate the relationship between the turbulent heat loss and the broader-scale synoptic variability (Fig. <xref ref-type="fig" rid="Ch1.F5"/>).</p>

      <fig id="Ch1.F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3911"><bold>(a–c)</bold> THF plotted by the wind direction and colored according to <bold>(a)</bold> the temperature gradient, <bold>(b)</bold> the humidity gradient, or <bold>(c)</bold> the wind speed. The stars correspond to the heat loss event studied and depicted in <bold>(d)</bold>. Panel <bold>(d)</bold> is the Amundsen Sea; the coastline is in white. The black dot is the research vessel position on 19 February 2022. The 10 m wind speed and direction (arrows), the 2 m air temperature (background), and the isobars (black contour) are plotted for the same day at 11:00 GMT and from ERA5.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f05.png"/>

          </fig>

      <p id="d2e3937">The large turbulent heat losses were associated with winds blowing from the south (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a, b, c), with large temperature (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a) and humidity (Fig. <xref ref-type="fig" rid="Ch1.F5"/>b) gradients. We focus on one heat loss event that lasted 6 h on 19 February 2022 from 08:00 to 13:00 GMT (stars in Fig. <xref ref-type="fig" rid="Ch1.F5"/>). The THF remained below <inline-formula><mml:math id="M151" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>170 W m<sup>−2</sup> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>, red area), reaching its peak of <inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>211 W m<sup>−2</sup> at 11:00 GMT. The mean value over the 6 h was <inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>186 W m<sup>−2</sup>. The wind was directed from the continent (Fig. <xref ref-type="fig" rid="Ch1.F5"/>d wind vectors and Fig. <xref ref-type="fig" rid="Ch1.F2"/>f) and brought cold (on average <inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.4 °C; Fig. <xref ref-type="fig" rid="Ch1.F2"/>b) and dry (1.4 g kg<sup>−1</sup>; Fig. <xref ref-type="fig" rid="Ch1.F2"/>d) air on top of the warmer (on average <inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1 °C; Fig. <xref ref-type="fig" rid="Ch1.F2"/>c) and moister (3.7 g kg<sup>−1</sup>; Fig. <xref ref-type="fig" rid="Ch1.F2"/>e) sea, triggering the heat loss event. A low-pressure center was also visible on the map (Fig. <xref ref-type="fig" rid="Ch1.F5"/>d). It may have enhanced the heat loss event. This weather system (cold and dry continental winds) has been observed for all the major turbulent loss events occurring during this research cruise (not shown). On the contrary, the instances when the THF was significantly positive (<inline-formula><mml:math id="M161" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 30 W m<sup>−2</sup>) are consistent with warm and moist northerlies blowing over the Amundsen Sea (Figs. <xref ref-type="fig" rid="Ch1.F3"/>e and <xref ref-type="fig" rid="Ch1.F2"/>f).</p>
      <p id="d2e4087">This indicates the role of large-scale atmospheric variability on the local flux events. Next, we review the state-of-the-art reanalysis to understand the ability of numerical weather models to represent these key processes.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>ERA5 reanalysis – revealing the product bias in the Amundsen Sea</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Turbulent heat flux bias at land–sea boundaries</title>
      <p id="d2e4106">The research vessel spent 72 % of its time in the polynya region and along the Dotson and Getz ice shelves, where few validations of ERA5 have been conducted. First, we analyze the THF from ERA5 by comparing it to the observed fluxes, which were calculated using the COARE 3.5 algorithm (Fig. <xref ref-type="fig" rid="Ch1.F6"/>).</p>

      <fig id="Ch1.F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e4113"><bold>(a, b)</bold> SHF and <bold>(c, d)</bold> LHF. Panels <bold>(a)</bold> and <bold>(c)</bold> are colored by an SST mask (the data points where the ERA5 cell has an SST value are in blue, and where SST is NaN (not a number), the data points are in yellow: these points are then classed as ice shelf). The <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in black is the coefficient of determination for all the data points; the <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in blue and in yellow are the coefficients of determination of the data points corresponding to the SST mask. <bold>(b, d)</bold> The black lines are the fluxes computed from the research vessel measurements using the COARE 3.5 algorithm; fluxes from ERA5 are in red. ERA5 fluxes are co-located to the research vessel position by selecting the nearest ERA5 value.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f06.png"/>

          </fig>

      <p id="d2e4159">The agreement between the THF product from ERA5 and the THF calculated from in situ data via COARE 3.5 was low: <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M166" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.186 for the SHF (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a) and <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M168" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.291 for the LHF (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). Additionally, ERA5 was positively biased in comparison to the observations: the mean SHF and LHF were higher by 13 and 3 W m<sup>−2</sup> (Table <xref ref-type="table" rid="Ch1.T4"/>, first and second rows). Similarly, hourly episodic heat loss events were not well represented by ERA5 (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b, d): the difference between the two time series was up to 141 W m<sup>−2</sup> for the SHF and 81 W m<sup>−2</sup> for the LHF (Table <xref ref-type="table" rid="Ch1.T4"/>, second row).</p>

<table-wrap id="Ch1.T4" specific-use="star"><label>Table 4</label><caption><p id="d2e4250">Comparison of the different flux products. The LHF and SHF max diff. are the maximum absolute differences between the flux from the in situ observations and from another flux product (either the ERA5 fluxes or the ERA5 hybrid fluxes). RMSE is the root-mean-square error.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Flux product</oasis:entry>
         <oasis:entry colname="col2">Mean SHF</oasis:entry>
         <oasis:entry colname="col3">Mean LHF</oasis:entry>
         <oasis:entry colname="col4">SHF max diff.</oasis:entry>
         <oasis:entry colname="col5">LHF max diff.</oasis:entry>
         <oasis:entry colname="col6">RMSE SHF</oasis:entry>
         <oasis:entry colname="col7">RMSE LHF</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Observation-based</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ERA5 output</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M176" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M178" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col4">141 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col5">81 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col6">29 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col7">20 W m<sup>−2</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ERA5 from hybrid dataset</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col4">107 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col5">69 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col6">21 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col7">14 W m<sup>−2</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e4569">The low agreement between the two flux products is explained by the coarse resolution of ERA5 at land–sea boundaries. The research vessel was often stationed along the ice shelves where the closest ERA5 grid cell was considered ice shelf and as such does not have an SST value (Fig. <xref ref-type="fig" rid="Ch1.F7"/>). The correlation between ERA5 and the COARE 3.5 fluxes improved when only comparing instances where the nearest ERA5 grid cell had an SST value not set to NaN (not a number) (<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M193" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.618 for the SHF and <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M195" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.691 for the LHF; Fig. <xref ref-type="fig" rid="Ch1.F6"/>a and c, blue points). For instances where there is no SST, the correlation is weak (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M197" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.122 for the SHF and <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M199" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.094 for the LHF; Fig. <xref ref-type="fig" rid="Ch1.F6"/>a and c, yellow points).  Thus, the ERA5 reanalysis THF product underestimates the turbulent losses at the land–sea boundary formed by the ice shelves due to missing SST values. These results illustrate the importance of careful analysis when investigating ice-shelf processes in reanalyses.</p>

      <fig id="Ch1.F7"><label>Figure 7</label><caption><p id="d2e4653"><bold>(a)</bold> Land–sea mask from ERA5 and <bold>(b)</bold> SST from ERA5. The research vessel position is plotted every 18 h (red data points).</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>A hybrid dataset to reduce the bias</title>
      <p id="d2e4675">As shown above, the dominant mechanism impacting the THF was the variations in air temperature and humidity. As such, to make use of all available ship-based observations to compare with ERA5, we require a more suitable method to reduce the SST-based biases identified. We considered using the nearest THF that is an ocean point, but this method was not chosen, as this would introduce a bias into the THF magnitude caused by an overestimation of air temperature (not shown).</p>
      <p id="d2e4678">We create an ERA5 dataset with the atmospheric variables (wind, air temperature, dewpoint temperature, pressure) co-located using the closest ERA5 value and with the SST co-located using the closest cell that has an SST value. We found this reasonable, as the SST variability is less important (range <inline-formula><mml:math id="M200" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.9 °C) than the air temperature (range <inline-formula><mml:math id="M201" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 12.2 °C) in the polynya region during the research cruise (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b, c). Therefore the gradient of temperature in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) mainly depends on the air temperature. The COARE 3.5 algorithm was then applied to compute turbulent fluxes using the new dataset as input (Fig. <xref ref-type="fig" rid="Ch1.F8"/>). We refer to the original ERA5 THF product as the nearest-neighbor product, which suffers from an inaccurate landmass, and the new product calculated from the ERA5 atmospheric variables and valid SST as the hybrid product (hybrid because of the differences in the co-location method between the SST and the other variables).</p>

      <fig id="Ch1.F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e4704"><bold>(a, b)</bold> SHF and <bold>(c, d)</bold> LHF from the COARE 3.5 algorithm with input from the ERA5 hybrid dataset (in red) and input from RV <italic>Nathaniel B. Palmer</italic> measurements (in black).</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f08.png"/>

          </fig>

      <p id="d2e4722">The SHF correlation between ERA5 and the observations was higher with the ERA5 hybrid dataset (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M203" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.576; Fig. <xref ref-type="fig" rid="Ch1.F8"/>a) than the original nearest-neighbor dataset (<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M205" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.186; Fig. <xref ref-type="fig" rid="Ch1.F6"/>a). The same statement holds for the LHF: <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.658 for the hybrid dataset (Fig. <xref ref-type="fig" rid="Ch1.F8"/>c) versus <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M209" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.291 for the nearest-neighbor flux (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). The hybrid SHF was on average closer to the observation-based fluxes (lower by 3 W m<sup>−2</sup>; Table <xref ref-type="table" rid="Ch1.T4"/>) but with a negative bias because of colder air temperature (Fig. <xref ref-type="fig" rid="App1.Ch1.S4.F14"/>c). Regarding the mean LHF, the hybrid dataset did not bring a clear improvement: the mean hybrid SHF is lower by 4 W m<sup>−2</sup> than the SHF from observations, whereas the mean ERA5 SHF output was higher by 3 W m<sup>−2</sup>. The instantaneous heat loss was slightly better represented (Fig. <xref ref-type="fig" rid="Ch1.F8"/>b, d in comparison to Fig. <xref ref-type="fig" rid="Ch1.F6"/>b, d), with a maximum difference between the time series of 107 W m<sup>−2</sup> for the SHF and 69 W m<sup>−2</sup> for the LHF (Table <xref ref-type="table" rid="Ch1.T4"/>).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>1D model simulations and glider data – determining the importance of an accurate turbulent heat flux estimate</title>
      <p id="d2e4887">We presented the characteristics of the heat loss events in the Amundsen Sea (Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>) and evaluated ERA5 in this region (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>). We found an underestimation of the turbulent heat loss from ERA5 THF output, and we created a hybrid ERA5 dataset that overestimates the heat loss but fits the observations better. In this last section we evaluate the impact of the THF on the SST and HC variability. More specifically, we determine whether the overestimation (or underestimation) of ERA5 fluxes is critical for estimates of SST and HC. We use a 1D model to answer these questions. We ran four PWP simulations with different atmospheric forcing that differed only in their THFs (Figs. <xref ref-type="fig" rid="App1.Ch1.S3.F13"/>e, g and <xref ref-type="fig" rid="Ch1.F9"/>a). Out of the four THF products, three were used earlier in this study: the THF computed from the research vessel via COARE 3.5 (observation dataset), the ERA5 THF co-located using the nearest-neighbor approach (suffering from the land-mask issue), and the THF computed from the ERA5 hybrid dataset via COARE 3.5. The last THF is obtained directly from ERA5 at a single ocean grid cell so as to represent the time-varying dynamics and exclude any lateral processes associated with a moving ship. We call this the stationary dataset.</p>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Turbulent heat flux effect on sea surface temperature</title>
      <p id="d2e4905">The PWP model predicted a warming of the water column over the 35 d for all four simulations (Fig. <xref ref-type="fig" rid="Ch1.F9"/>g), which is in agreement with the seasonal warming expected during the austral summer. However, the SSTs of the four PWP simulations diverge (Fig. <xref ref-type="fig" rid="Ch1.F9"/>c). At the end of the 35 d run (the duration of the expedition in the polynya region), the nearest-neighbor SST (yellow line) was higher (0.76 °C; Fig. <xref ref-type="fig" rid="Ch1.F9"/>e) than in the other three simulations. The hybrid (blue line) and stationary (pink line) simulations were colder (<inline-formula><mml:math id="M215" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.17 and <inline-formula><mml:math id="M216" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.14 °C) than the observation simulation (dark-green line in Fig. <xref ref-type="fig" rid="Ch1.F9"/>c). This is in agreement with the ERA5 overestimation of heat loss for the hybrid dataset and underestimation for the nearest-neighbor dataset. The HC in the 40 m upper layer was higher by 8.2 <inline-formula><mml:math id="M217" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> J at the end of the 35 d for the nearest-neighbor simulation and lower by <inline-formula><mml:math id="M219" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.30 <inline-formula><mml:math id="M220" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> and <inline-formula><mml:math id="M222" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.98 <inline-formula><mml:math id="M223" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> J for the hybrid and stationary simulations (Fig. <xref ref-type="fig" rid="Ch1.F9"/>f) in comparison to the observation-based simulation.</p>

      <fig id="Ch1.F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e4998"><bold>(a)</bold> THF input for the PWP model. <bold>(b)</bold> THF difference for the observation-based simulation minus one of three other simulations. <bold>(c)</bold> SST model output and <bold>(d)</bold> HC in the upper 40 m layer computed from the model's output. Panels <bold>(e)</bold> and <bold>(f)</bold> are the differences in SST and HC between the observation-based run and the other runs. Panel <bold>(g)</bold> shows the initial temperature profile (dotted line) and the final temperature profiles. The gray-shaded area in all the panels corresponds to a 2 d period that we examine in the results.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f09.png"/>

          </fig>

      <p id="d2e5028">The observation and the nearest-neighbor simulations had large THF differences (on average 28 W m<sup>−2</sup> and instantaneously up to 200 W m<sup>−2</sup>; Fig. <xref ref-type="fig" rid="Ch1.F9"/>b, yellow points) that led to an increase in the slope of the difference in SST (Fig. <xref ref-type="fig" rid="Ch1.F9"/>e) and HC (Fig. <xref ref-type="fig" rid="Ch1.F9"/>f) between the two simulations. For example, from day 13.5 to day 15.5 (gray-shaded area), the nearest-neighbor THF was on average 82 W m<sup>−2</sup> warmer than the observed THF. This difference explained an SST increase of 0.20 °C and an HC increase of 1.4<inline-formula><mml:math id="M228" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>10<sup>7</sup> J (yellow line; Fig. <xref ref-type="fig" rid="Ch1.F9"/>e, f) in the nearest-neighbor simulation in comparison to the observation-based simulation. The cumulative effect of such events is critical to set the SST and HC differences between the simulations throughout the 35 d simulations (Fig. <xref ref-type="fig" rid="Ch1.F9"/>e, f).</p>
      <p id="d2e5095">We note that the daily change in SST (<inline-formula><mml:math id="M230" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST; Table <xref ref-type="table" rid="Ch1.T5"/>) has the same order of magnitude  between the stationary-dataset-based simulation (mean <inline-formula><mml:math id="M231" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.003 °C d<sup>−1</sup>, SD <inline-formula><mml:math id="M233" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.042 °C d<sup>−1</sup>) and the hybrid-dataset-based simulation (mean <inline-formula><mml:math id="M235" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.002 °C d<sup>−1</sup>, SD <inline-formula><mml:math id="M237" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.040 °C d<sup>−1</sup>), which gives us confidence in the credibility of using the PWP model with data that are not stationary (i.e., biases introduced when comparing datasets from moving vessels).</p>
      <p id="d2e5184">Thus, the four simulations diverge because of the different THF inputs (indeed all the other atmospheric forcings are identical). The resulting difference in evolution of SST (HC) of 0.76 °C (8.2 <inline-formula><mml:math id="M239" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> J) over a month is not negligible for a coastal polynya region where sea-ice formation and melting, ice-shelf melting and primary production are dominant processes.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>A sea surface temperature and heat content bias as large as the spatial-scale variability</title>
      <p id="d2e5211">In this final subsection, we look at ship-based thermosalinograph (TSG) data (for the SST) and nearby glider data (for the HC) to understand how the temperature change in the PWP simulations compares to the change in temperature in the observations.</p>
      <p id="d2e5214"><inline-formula><mml:math id="M241" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST from the PWP model output (solid lines, Fig. <xref ref-type="fig" rid="Ch1.F10"/>a)  and from the TSG observations (dotted line) showed a similar average change (Table <xref ref-type="table" rid="Ch1.T5"/>; mean <inline-formula><mml:math id="M242" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) °C d<sup>−1</sup>), except for the nearest-neighbor PWP output, which has a higher mean (0.029 °C d<sup>−1</sup>). Regarding the HC, the nearest-neighbor simulation exhibits a higher mean as well, even though the difference is smaller than for the SST (Table <xref ref-type="table" rid="Ch1.T6"/>). SDs of the daily change in SST and HC are 1 order of magnitude higher for the observations (0.140 °C d<sup>−1</sup>, 2.0 <inline-formula><mml:math id="M247" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> J d<sup>−1</sup>) than for the model outputs (O<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) °C d<sup>−1</sup>, O<inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) J d<sup>−1</sup>; Tables <xref ref-type="table" rid="Ch1.T5"/> and <xref ref-type="table" rid="Ch1.T6"/>). The larger spread in the observations can be explained by the horizontal processes that are assumed to be non-negligible in a sea-shelf environment and that were not represented in the 1D model.</p>
      <p id="d2e5375">It is thus reasonable to assume that the horizontal processes average out (as seen by the comparison of the means); the 35 d evolution of SST and HC in the observations was well represented by the PWP simulations when the nearest-neighbor simulation was set aside.</p>

      <fig id="Ch1.F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e5381">Distribution of <bold>(a)</bold> the daily change in SST and <bold>(b)</bold> the daily change in HC in the upper 40 m layer for the four PWP simulations (continuous line) and the observations (dotted line). For the observations, we used ship-based data at 6 m for the SST and glider data for the HC.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f10.png"/>

          </fig>

<table-wrap id="Ch1.T5"><label>Table 5</label><caption><p id="d2e5399">Statistics of the change in temperature <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SST</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">SST</mml:mi><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">SST</mml:mi><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> d. SD is the standard deviation. The SST is taken at a depth of 6 m for the PWP model to match the depth of the TSG measurements.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Dataset</oasis:entry>
         <oasis:entry colname="col2">Mean <inline-formula><mml:math id="M256" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST</oasis:entry>
         <oasis:entry colname="col3">SD <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">[°C d<sup>−1</sup>]</oasis:entry>
         <oasis:entry colname="col3">[°C d<sup>−1</sup>]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">TSG</oasis:entry>
         <oasis:entry colname="col2">0.010</oasis:entry>
         <oasis:entry colname="col3">0.140</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PWP output – obs.</oasis:entry>
         <oasis:entry colname="col2">0.007</oasis:entry>
         <oasis:entry colname="col3">0.046</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PWP output – hybrid</oasis:entry>
         <oasis:entry colname="col2">0.002</oasis:entry>
         <oasis:entry colname="col3">0.040</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PWP output – nearest</oasis:entry>
         <oasis:entry colname="col2">0.029</oasis:entry>
         <oasis:entry colname="col3">0.049</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PWP output – stat.</oasis:entry>
         <oasis:entry colname="col2">0.003</oasis:entry>
         <oasis:entry colname="col3">0.042</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="Ch1.T6"><label>Table 6</label><caption><p id="d2e5607">Same as the previous table but for statistics of the daily change in heat content in the upper 40 m layer.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Dataset</oasis:entry>
         <oasis:entry colname="col2">Mean <inline-formula><mml:math id="M260" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HC</oasis:entry>
         <oasis:entry colname="col3">SD <inline-formula><mml:math id="M261" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HC</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">[J d<sup>−1</sup>]</oasis:entry>
         <oasis:entry colname="col3">[J d<sup>−1</sup>]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Glider</oasis:entry>
         <oasis:entry colname="col2">4.9 <inline-formula><mml:math id="M264" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>5</sup></oasis:entry>
         <oasis:entry colname="col3">2.0 <inline-formula><mml:math id="M266" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PWP output – obs.</oasis:entry>
         <oasis:entry colname="col2">1.4<inline-formula><mml:math id="M268" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>10<sup>6</sup></oasis:entry>
         <oasis:entry colname="col3">3.8 <inline-formula><mml:math id="M270" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>6</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PWP output – hybrid</oasis:entry>
         <oasis:entry colname="col2">5.3 <inline-formula><mml:math id="M272" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>5</sup></oasis:entry>
         <oasis:entry colname="col3">4.2 <inline-formula><mml:math id="M274" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>6</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PWP output – nearest</oasis:entry>
         <oasis:entry colname="col2">3.8 <inline-formula><mml:math id="M276" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>6</sup></oasis:entry>
         <oasis:entry colname="col3">3.6 <inline-formula><mml:math id="M278" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>6</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PWP output – stat.</oasis:entry>
         <oasis:entry colname="col2">6.1 <inline-formula><mml:math id="M280" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>5</sup></oasis:entry>
         <oasis:entry colname="col3">4.7 <inline-formula><mml:math id="M282" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>6</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e5898">Coming back to the 2 d example of the previous section, according to the PWP model, we see a misrepresentation of the THF of about 80 W m<sup>−2</sup> (Fig. <xref ref-type="fig" rid="Ch1.F9"/>b) that leads to an SST increase of 0.2 °C (Fig. <xref ref-type="fig" rid="Ch1.F9"/>e) and an HC increase of 1.4 <inline-formula><mml:math id="M285" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> J (Fig. <xref ref-type="fig" rid="Ch1.F9"/>f). Across this particular heat loss event, the SST and HC increases were on the same order of magnitude as the spatiotemporal variability scale observed in the 35 d ship-based SST observation (SD <inline-formula><mml:math id="M287" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.140 °C d<sup>−1</sup>; Table <xref ref-type="table" rid="Ch1.T5"/>, Fig. <xref ref-type="fig" rid="Ch1.F10"/>a) and 18 d glider data (SD <inline-formula><mml:math id="M289" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.0 <inline-formula><mml:math id="M290" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> J d<sup>−1</sup>; Table <xref ref-type="table" rid="Ch1.T6"/>, Fig. <xref ref-type="fig" rid="Ch1.F10"/>b) that were imputed to horizontal processes. Therefore, the cumulative effect of small differences in the mean <inline-formula><mml:math id="M293" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SST and <inline-formula><mml:math id="M294" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HC due to a bias in the THF is critical for the temporal-scale variability in SST and HC in the Amundsen Sea. The 1D processes alone cannot explain the change in SST and HC that we see in the observations. However, our work highlights the fact that a consequent bias in the THF can lead to errors in the estimation of the 35 d evolution of the SST and HC that are on the same order of magnitude as the variability due to horizontal processes.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion and conclusions</title>
      <p id="d2e6025">This work provides the first air–sea THF-observation-based study in the Amundsen Sea. Large-scale cold and dry winds moving from the Antarctic continent over the sea enhance the air–sea temperature and humidity gradients and trigger turbulent heat loss events up to 230 W m<sup>−2</sup>. We show that THFs from ERA5 are inaccurate at ice-shelf boundaries (mean underestimation of the heat loss of 28 W m<sup>−2</sup> over the 35 d of the research survey in the polynya region). This can be improved by recalculating fluxes from ERA5 sea surface and atmospheric variables, with vigilance regarding the SST that is sometimes set to NaN due to the ERA5 land–sea mask. The THF obtained overestimates the heat loss by 12 W m<sup>−2</sup> on average in the polynya region. As a result of misrepresenting the THF, we show that the seasonal evolution of the modeled SST would be overestimated (<inline-formula><mml:math id="M298" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>0.76 °C at the end of the 35 d PWP simulation) with ERA5 THF or underestimated (<inline-formula><mml:math id="M299" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.17 °C) with ERA5 recalculated flux. Therefore, caution has to be taken when selecting turbulent fluxes for modeling studies in a coastal polynya where, for example, sea-ice formation and melting and primary production are important processes.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Polynya turbulent flux system</title>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>The role of the broader atmospheric system</title>
      <p id="d2e6092">Antarctica is known for its strong surface winds. It might be plausible that the wind contributes significantly to the heat loss by increasing turbulent mixing, yet we did not observe any pattern of increasing wind intensity related to the heat loss (Figs. <xref ref-type="fig" rid="Ch1.F4"/> and <xref ref-type="fig" rid="Ch1.F5"/>c). A systematic positive bias in the residuals was observed in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>, meaning that either ERA5 underestimates the wind speed or the measurements overestimate it. We imputed the residual bias to ERA5, as it has been shown that the wind speed along the Antarctic coastline is underestimated by ERA5 <xref ref-type="bibr" rid="bib1.bibx9" id="paren.41"/>. The properties of the air (cold and dry) transported by the winds are more important for the THF variability than the wind speed itself. As shown, the atmospheric system is thought to be a key component in the Amundsen Sea. Indeed, <xref ref-type="bibr" rid="bib1.bibx23" id="text.42"/> used the MetUM model to perform episodic (2 to 3 d) high-heat-flux case studies in the eastern Amundsen Sea and found that strong easterlies and southeasterlies associated with cyclones are typically linked to heat loss. The importance of low-pressure systems in cold-air outbreaks is a result that has also been found in the Ronne Polynya (Weddell Sea) from aircraft observations <xref ref-type="bibr" rid="bib1.bibx16" id="paren.43"/>. The Amundsen Sea is known for being a cyclogenesis region, and we indeed saw recurring low-pressure centers in our study area (Fig. <xref ref-type="fig" rid="Ch1.F5"/>d). In particular, the Amundsen Sea Low (ASL) is a quasistationary low-pressure center that oscillates between the Ross Sea (to the west) and the Bellingshausen Sea (to the east). <xref ref-type="bibr" rid="bib1.bibx20" id="text.44"/> showed that the ASL influences the meridional component of the large-scale atmospheric circulation. When the ASL is positioned to the west, it enhances the southerly flow. The ASL was located at the edge of the Ross and Amundsen seas (to the west) in January and March 2022 and in front of Thurston Island, in the Amundsen Sea, in February 2022 (the ASL index position was downloaded from <uri>https://github.com/scotthosking/amundsen-sea-low-index</uri>, last access: 31 January 2025). The ASL had, therefore, likely enhanced the southerly (continental) winds over the time span of the research vessel's presence in the Amundsen Sea and consequently increased the turbulent heat loss through enhanced air–sea temperature and humidity gradients. It would be interesting in future studies to investigate the longer-term air–sea THF variability associated with ASL location.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>Spatial variability in the fluxes</title>
      <p id="d2e6127">In this study, the largest heat losses occurred in front of the ice shelves. This result could indicate that the heat loss is larger along the ice shelves than in the open water in the polynya but could also be explained by the fact that the research vessel spent 27 d out of 41 d in front of the ice shelves when in the polynya region. However, it has been shown by modeling studies in other coastal polynyas (<xref ref-type="bibr" rid="bib1.bibx38" id="altparen.45"><named-content content-type="post">for the polynya that forms off Ronne Ice Shelf (Weddell Sea)</named-content></xref> and <xref ref-type="bibr" rid="bib1.bibx23" id="altparen.46"><named-content content-type="post"> for the Pine Island Glacier Polynya, Pope Smith Kohler Polynya, and Thurston Polynya (eastern Amundsen Sea)</named-content></xref>) that the THF decreases with fetch. When continental cold (dry) air is advected on top of the sea, it gains heat (moisture) from the ocean as it travels offshore, which reduces the gradient of temperature (humidity) and, as a consequence, the SHF (LHF). This result gives us confidence regarding the spatial variability observed in our dataset and illustrates the key mechanisms for driving heat loss in regions of ice-shelf dynamics.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Assessing ECMWF turbulent heat flux in the Amundsen Sea</title>
      <p id="d2e6149">From ERA-Interim data, <xref ref-type="bibr" rid="bib1.bibx34" id="text.47"/> created a CAO climatology. They found that the CAO summer frequency is under 3 % and consequently focused on the nonsummer months. In autumn, winter, and spring, they found that the CAOs contribute to the turbulent heat loss enhancement. Their study focused on the region of the Amundsen Sea off the ice shelves and therefore was not affected by the along-shelf dynamics assessed in our study. Yet, we found the same result regarding the importance of CAOs along the ice shelves, as the air was cold and dry enough to enhance the air–sea temperature and humidity gradients despite it being summertime. <xref ref-type="bibr" rid="bib1.bibx22" id="text.48"/> evaluated the performance of four reanalysis products in the Amundsen Sea and showed that ERA-Interim has a cold bias in the air temperature and a dry bias in the specific humidity, which are greater near the ice shelves and weaker far from the coast. As a consequence, they hypothesize that the heat loss would be overestimated. This hypothesis has been verified in our work, with the bias found (Table <xref ref-type="table" rid="Ch1.T4"/>) in ERA5 hybrid fluxes (computed from the atmospheric and sea surface ERA5 variables). This bias indeed arises from cold and dry biases in ERA5 air and humidity (Fig. <xref ref-type="fig" rid="App1.Ch1.S4.F14"/>b, c). However, the ERA5 nearest-neighbor THF underestimates the heat loss: this result indicates the importance of careful choice regarding the method used to retrieve estimates of turbulent flux in the Amundsen Sea from ERA5.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Implications</title>
      <p id="d2e6170">The Amundsen Sea is a dynamic shelf sea with horizontal processes such as coastal currents. Therefore the 1D PWP model does not aim to reproduce the observed temperature changes. However, we use the PWP model to give an insight into the potential effects of an air–sea THF misrepresentation on the monthly evolution of SST in the Amundsen Sea. The stationary heat flux simulation and the hybrid simulation show similar results. This indicates that the large-scale nature of the CAOs, which drive the strongest fluxes, negates any bias that might have been induced by simulating a 1D model using flux data from a moving ship. In the nearest-neighbor simulation, which includes the strongly biased THF, there is a non-negligible impact on the overestimation of SST (<inline-formula><mml:math id="M300" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>0.76 °C) and HC (8.2 <inline-formula><mml:math id="M301" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>7</sup> J) at the end of the 35 d simulation. <xref ref-type="bibr" rid="bib1.bibx54" id="text.49"/> have shown that the climatological January SST ranges between <inline-formula><mml:math id="M303" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.8 and <inline-formula><mml:math id="M304" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2 °C in the Amundsen Sea Polynya (it has an internal spatial variability), with an interannual standard deviation between 0.35 and 0.45 °C. The SST from the hybrid, stationary, and observation simulations are therefore in the expected range, unlike the nearest-neighbor simulation (Fig. <xref ref-type="fig" rid="Ch1.F9"/>c). This could have a major impact on sea-ice-formation or primary production studies, as the sea-ice concentration variability is influenced by the SST in summer <xref ref-type="bibr" rid="bib1.bibx25" id="paren.50"/>, and the chlorophyll-<inline-formula><mml:math id="M305" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration is correlated with the SST in the Amundsen Sea <xref ref-type="bibr" rid="bib1.bibx18" id="paren.51"/>.</p>
      <p id="d2e6229">The Amundsen Sea Polynya has high rates of primary production that are driven by both the polynya duration and the iron supplied from melting ice shelves and glaciers <xref ref-type="bibr" rid="bib1.bibx2" id="paren.52"/>. The polynya duration is the length of the open-water season. The sea-ice-retreat season (when the polynya opens) and advance season (when the polynya closes) are bound by a positive feedback loop: early sea-ice retreat in spring/summer implies more solar input at the sea surface since the albedo of seawater is lower than that of sea ice. More solar input subsequently leads to later and lower sea-ice formation in the advance season (autumn) <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx44" id="paren.53"/>. It is worth noting that 2022, when the in situ data of this study were collected, was a year of record-breaking-low summer Antarctic sea-ice extent <xref ref-type="bibr" rid="bib1.bibx36" id="paren.54"><named-content content-type="pre">even though this record was then broken in 2023;</named-content></xref>. <xref ref-type="bibr" rid="bib1.bibx49" id="text.55"/> and <xref ref-type="bibr" rid="bib1.bibx50" id="text.56"/> showed that a deep ASL in spring associated with the Southern Annular Mode in a positive phase enhanced the sea-ice melting during this anomalously low summer sea-ice year. However the effect of the ASL on the air–sea fluxes is twofold and opposite. On one hand, a deeper ASL enhances the southerly flow, pushing the sea ice away from the shore, widening the polynya, and therefore allowing more shortwave radiation to enter the upper ocean, leading to radiative heat gain by the ocean. While on the other hand, we show in our study that the southerly winds bring cold and dry continental air, leading to turbulent heat loss. While the main component of the net air–sea heat flux in summer remains the radiative heat flux, we show that synoptic-scale events can set in motion large episodic turbulent fluxes that reduce the net heat flux. Given that the Antarctic sea ice seems to have reached a new state in recent years <xref ref-type="bibr" rid="bib1.bibx36" id="paren.57"/>, it is important to deepen our understanding of the complex atmosphere–ice–sea system. For instance, <xref ref-type="bibr" rid="bib1.bibx45" id="text.58"/> show near the Ross Sea Polynya that the ice-shelf basal melting from surface heating is more important than what was traditionally thought, and it is expected to increase in the future. Based on our results, we propose that the dynamics controlling turbulent heat fluxes in these climate-sensitive regions should be considered as well.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Outlook</title>
      <p id="d2e6265">A number of potential avenues of work became clear during the course of this study. (i) As mentioned earlier, it would be interesting to have THF observations when the ASL is further east, to better understand the dependence of flux variability on the ASL. This corresponds to the austral winter or autumn <xref ref-type="bibr" rid="bib1.bibx21" id="paren.59"/>, seasons where we currently lack observations. (ii) The air–sea heat flux is the sum of the turbulent and the radiative components. We hypothesize that the bias in ERA5 THF induced by the land–sea boundary would affect the radiative fluxes as well, with a misrepresentation of the albedo. (iii) Finally, we could expect numerical models with higher spatial resolution than ERA5 to better capture the THF magnitude and variability along the ice shelves. We could, therefore, compare the observations to some high-resolution regional climate models (e.g., MetUM, RACMO) to evaluate their accuracy on a coastal shelf sea such as the Amundsen Sea.</p>
</sec>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Data processing – investigating the wind distortion effects</title>
      <p id="d2e6284">The anemometers on a ship can be positioned in a place where they experience airflow distortion from the superstructure of the research vessel <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx27 bib1.bibx26" id="paren.60"/>. The consequence is a bias in the wind speed values that depends on the location of the anemometers and the shape of the research vessel <xref ref-type="bibr" rid="bib1.bibx27" id="paren.61"/>. We use ERA5 to analyze the residuals (i.e., the research vessel minus ERA5 wind speed) and to validate the in situ wind measurements (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>).</p>
      <p id="d2e6295">We observe a decreasing residual with wind blowing from the stern, which could be explained by the openness of the superstructure over the back half of the ship (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>b). The residuals are positive for each bin; this is possibly an overestimate of the measured wind speed but could also be a bias from ERA5. We assume that the bias is from ERA5, as it has been shown that it is biased low along the Antarctic coast <xref ref-type="bibr" rid="bib1.bibx9" id="paren.62"/>. The mean residuals (blue lines, Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>a) are low: the minimum is 0.40 m s<sup>−1</sup> for the bin (120, 135]°, and the maximum is 1.70 m s<sup>−1</sup> for the bin (0, 15]° (winds blowing from the bow); we therefore decide to keep the data, as the bias is not large.</p><fig id="App1.Ch1.S1.F11"><label>Figure A1</label><caption><p id="d2e6331"><bold>(a)</bold> Residuals (10 m wind speed[ship minus ERA5]) binned into 15° relative absolute wind direction. Relative means relative to the ship; the convention is the following: a 0° relative wind direction means the wind is blowing bow-on. Absolute refers to the assumption that the flow is symmetrically distorted on the port and starboard sides; e.g., the wind coming from (75, 90]° and from (<inline-formula><mml:math id="M308" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>90, <inline-formula><mml:math id="M309" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>75]° is distorted in the same way and is therefore placed into the same bin. The boxes extend from the lower to the upper quartile values, the whiskers represent the range of the data, and the black empty circles are outliers. The outliers are defined as data points lying outside the interval [Q1 <inline-formula><mml:math id="M310" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 1.5(Q3–Q1), Q3 <inline-formula><mml:math id="M311" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 1.5(Q3–Q1)]. The blue lines are the mean per bin. The gray-shaded areas indicate the standard error in the mean. Panel <bold>(b)</bold> is RV <italic>Nathaniel B. Palmer</italic> (adapted from <uri>https://www.usap.gov/USAPgov/vesselScienceAndOperations/documents/NBP_Guide.pdf</uri>, last access: 31 January 2025); the red arrow indicates the position of the anemometers.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f11.png"/>

      </fig>

</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Reynolds decomposition</title>
      <p id="d2e6390">The Reynolds decomposition consists of the decomposition of a variable <inline-formula><mml:math id="M312" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> into the sum of its average (<inline-formula><mml:math id="M313" display="inline"><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>) and anomaly (<inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msup><mml:mi>X</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). We applied this decomposition to the turbulent flux; the following are the mathematical steps that led to the formulation of Eqs. (<xref ref-type="disp-formula" rid="Ch1.E6"/>) and (<xref ref-type="disp-formula" rid="Ch1.E7"/>).

              <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M315" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="App1.Ch1.S2.E10"><mml:mtd><mml:mtext>B1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S2.E11"><mml:mtd><mml:mtext>B2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e6593">We expand these equations and average them (overline). We use the following averaging rules:

              <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M316" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="App1.Ch1.S2.E12"><mml:mtd><mml:mtext>B3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>X</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S2.E13"><mml:mtd><mml:mtext>B4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mover accent="true"><mml:mrow><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mover accent="true"><mml:mi>Y</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mi>Y</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S2.E14"><mml:mtd><mml:mtext>B5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mover accent="true"><mml:mrow><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>Y</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>Y</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e6714">We obtain

              <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M317" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="App1.Ch1.S2.E15"><mml:mtd><mml:mtext>B6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo mathsize="2.5em">[</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mover accent="true"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo mathsize="2.5em">]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S2.E16"><mml:mtd><mml:mtext>B7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mo mathsize="2.5em">[</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mi>U</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mover accent="true"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:msup><mml:mi>U</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo mathsize="2.5em">]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e7067">We then subtract the averaged <inline-formula><mml:math id="M318" display="inline"><mml:mover accent="true"><mml:mi mathvariant="normal">SHF</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> (<inline-formula><mml:math id="M319" display="inline"><mml:mover accent="true"><mml:mi mathvariant="normal">LHF</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>) from the total SHF (LHF) to retrieve the anomalous SHF<sup>′</sup> (LHF<sup>′</sup>) of Eq. (<xref ref-type="disp-formula" rid="Ch1.E6"/>) (Eq. <xref ref-type="disp-formula" rid="Ch1.E7"/>).</p>
</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>PWP model input</title>

      <fig id="App1.Ch1.S3.F12"><label>Figure C1</label><caption><p id="d2e7124">Oceanic forcing – initial temperature and salinity profiles for the PWP simulations from the CTD cast taken at 74.02° S, 113° W.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f12.png"/>

      </fig>

      <fig id="App1.Ch1.S3.F13"><label>Figure C2</label><caption><p id="d2e7137">Atmospheric forcing – four runs were performed; only the latent and sensible heat fluxes differ. The shortwave, longwave, and wind stress come from the research vessel observations. The precipitation comes from the ERA5 stationary dataset because there was no observation of precipitation from the research vessel.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f13.png"/>

      </fig>


</app>

<app id="App1.Ch1.S4">
  <label>Appendix D</label><title>Comparison of in situ observations and ERA5 sea surface variables</title>

      <fig id="App1.Ch1.S4.F14"><label>Figure D1</label><caption><p id="d2e7160">Comparison of (<inline-formula><mml:math id="M322" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) ERA5 and (<inline-formula><mml:math id="M323" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis) in situ observations for <bold>(a)</bold> wind speed at 10 m, <bold>(b)</bold> specific humidity at 2 m, and <bold>(c)</bold> air temperature at 2 m. The in situ observations were adjusted down to 10 and 2 m, thanks to AirSeaFluxCode, which applies a logarithmic adjustment and stability functions to account for atmospheric stability. To determine specific humidity from ERA5, we convert the dewpoint temperature to specific humidity using the saturation vapor pressure function from <xref ref-type="bibr" rid="bib1.bibx8" id="text.63"/>. The points are colored according to the distance to the Amundsen Sea coastline in kilometers, which we defined as the closest coastal point to the ship position in the region 73.66–75.27° S, 108.10–122.64° W.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/21/359/2025/os-21-359-2025-f14.png"/>

      </fig>

</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e7202">The meteorology and thermosalinograph data from the research vessel, the Seaglider data, and the CTD file are published at Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.12647855" ext-link-type="DOI">10.5281/zenodo.12647855</ext-link>, <xref ref-type="bibr" rid="bib1.bibx37" id="altparen.64"/>). ERA5 data are available at the Copernicus Climate Change Service (C3S) Climate Data Store (CDS) (<ext-link xlink:href="https://doi.org/10.24381/cds.adbb2d47" ext-link-type="DOI">10.24381/cds.adbb2d47</ext-link>, <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.65"/>). The AMSR2 sea-ice concentration data are made available at <uri>https://data.seaice.uni-bremen.de/amsr2/</uri> <xref ref-type="bibr" rid="bib1.bibx43" id="paren.66"/>. The AirSeaFluxCode software is available at <uri>https://github.com/NOCSurfaceProcesses/AirSeaFluxCode/</uri>, <xref ref-type="bibr" rid="bib1.bibx4" id="text.67"/>. RTopo-2 is available at <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.856844" ext-link-type="DOI">10.1594/PANGAEA.856844</ext-link> <xref ref-type="bibr" rid="bib1.bibx40" id="paren.68"/>. The MEaSUREs BedMachine Antarctica (V3) dataset is accessible from the NASA National Snow and Ice Data Center Distributed Active Archive Center (NSIDC DAAC) (<ext-link xlink:href="https://doi.org/10.5067/FPSU0V1MWUB6" ext-link-type="DOI">10.5067/FPSU0V1MWUB6</ext-link>, <xref ref-type="bibr" rid="bib1.bibx29" id="altparen.69"/>).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7246">All coauthors defined the research problem and the conceptualization of the study. BJ carried out the data analysis and produced the figures and first draft under the supervision of MdP and BYQ as part of her MS thesis. All coauthors discussed the analysis and contributed to the writing of the final paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7252">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="d2e7260">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e7266">This work uses data collected during the TARSAN project, a component of the International Thwaites Glacier Collaboration (ITGC; <uri>https://thwaitesglacier.org/</uri>, last access: 31 January 2025, supported by NSF grant 1929991 and UKRI NERC grant NE/S006419/1) and the ARTEMIS project (NSF grant 1941483 and UKRI NERC grant NE/W007045/1). Bastien Y. Queste is thankful for the support from the European Research Council (COMPASS, grant no. 741120). Marcel D. du Plessis received funding from the European Union's Horizon 2020 research and innovation programme​​​​​​​​ under grant agreement no. 821001 (SO-CHIC). Finally, we thank the two anonymous reviewers for their comments, which helped us to improve the quality of the paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7274">This research has been supported by the European Research Council, EU H2020 European Research Council (grant nos. 821001 and 741120), the UK Research and Innovation (grant nos. NE/S006419/1 and NE/W007045/1), and the National Science Foundation (grant nos. 1929991 and 1941483).The publication of this article was funded by the  Swedish Research Council, Forte, Formas, and Vinnova.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7286">This paper was edited by Katsuro Katsumata and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Arrigo and van Dijken(2003)</label><mixed-citation>Arrigo, K. R. and van Dijken, G. L.: Phytoplankton dynamics within 37 Antarctic coastal polynya systems, J. Geophys. Res.-Oceans, 108, 3271, <ext-link xlink:href="https://doi.org/10.1029/2002JC001739" ext-link-type="DOI">10.1029/2002JC001739</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Arrigo et al.(2012)Arrigo, Lowry, and van Dijken</label><mixed-citation> Arrigo, K. R., Lowry, K. E., and van Dijken, G. L.: Annual changes in sea ice and phytoplankton in polynyas of the Amundsen Sea, Antarctica, Deep-Sea Res. Pt II, 71, 5–15, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Bigg et al.(2003)Bigg, Jickells, Liss, and Osborn</label><mixed-citation> Bigg, G. R., Jickells, T. D., Liss, P. S., and Osborn, T. J.: The role of the oceans in climate, Int. J. Climatol., 23, 1127–1159, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Biri et al.(2023)Biri, Cornes, Berry, Kent, and Yelland</label><mixed-citation>Biri, S., Cornes, R. C., Berry, D. I., Kent, E. C., and Yelland, M. J.: AirSeaFluxCode: Open-source software for calculating turbulent air-sea fluxes from meteorological parameters, Frontiers in Marine Science, 9, 1049168, <ext-link xlink:href="https://doi.org/10.3389/fmars.2022.1049168" ext-link-type="DOI">10.3389/fmars.2022.1049168</ext-link>, 2023 (code available at: <uri>https://github.com/NOCSurfaceProcesses/AirSeaFluxCode/</uri>, last access: 31 January 2025).</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Bourassa et al.(2013)Bourassa, Gille, Bitz, Carlson, Cerovecki, Clayson, Cronin, Drennan, Fairall, Hoffman et al.</label><mixed-citation> Bourassa, M. A., Gille, S. T., Bitz, C., Carlson, D., Cerovecki, I., Clayson, C. A., Cronin, M. F., Drennan, W. M., Fairall, C. W., Hoffman, R. N., Magnusdottir, G., Pinker, R. T., Renfrew, I. A., Serreze, M., Speer, K., Talley, L. D., and Wick, G. A.: High-latitude ocean and sea ice surface fluxes: Challenges for climate research, B. Am. Meteorol. Soc., 94, 403–423, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Bracegirdle and Marshall(2012)</label><mixed-citation> Bracegirdle, T. J. and Marshall, G. J.: The reliability of Antarctic tropospheric pressure and temperature in the latest global reanalyses, J. Climate, 25, 7138–7146, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Bromwich et al.(2011)Bromwich, Nicolas, and Monaghan</label><mixed-citation> Bromwich, D. H., Nicolas, J. P., and Monaghan, A. J.: An assessment of precipitation changes over Antarctica and the Southern Ocean since 1989 in contemporary global reanalyses, J. Climate, 24, 4189–4209, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Buck(2012)</label><mixed-citation>Buck: Model CR-1A hygrometer with autofill operating manual, Tech. rep., Buck Research Instruments, LLC, <uri>https://www.hygrometers.com/wp-content/uploads/CR-1A-users-manual-2009-12.pdf</uri> (last access:  31 January 2025), 2012.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Caton Harrison et al.(2022)Caton Harrison, Biri, Bracegirdle, King, Kent, Vignon, and Turner</label><mixed-citation> Caton Harrison, T., Biri, S., Bracegirdle, T. J., King, J. C., Kent, E. C., Vignon, É., and Turner, J.: Reanalysis representation of low-level winds in the Antarctic near-coastal region, Weather   Clim. Dynam., 3, 1415–1437, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Cayan(1992)</label><mixed-citation> Cayan, D. R.: Variability of latent and sensible heat fluxes estimated using bulk formulae, Atmos.-Ocean, 30, 1–42, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Chuda et al.(2008)Chuda, Niino, Yoneyama, Katsumata, Ushiyama, and Tsukamoto</label><mixed-citation> Chuda, T., Niino, H., Yoneyama, K., Katsumata, M., Ushiyama, T., and Tsukamoto, O.: A statistical analysis of surface turbulent heat flux enhancements due to precipitating clouds observed in the tropical western Pacific, J. Meteorol. Soc. Jpn., 86, 439–457, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Copernicus Climate Change Service, Climate Data Store(2023)</label><mixed-citation>Copernicus Climate Change Service, Climate Data Store: ERA5 hourly data on single levels from 1940 to present, Copernicus Climate Change Service (C3S) Climate Data Store (CDS) [data set], <ext-link xlink:href="https://doi.org/10.24381/cds.adbb2d47" ext-link-type="DOI">10.24381/cds.adbb2d47</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Cronin et al.(2019)Cronin, Gentemann, Edson, Ueki, Bourassa, Brown, Clayson, Fairall, Farrar, Gille et al.</label><mixed-citation>Cronin, M. F., Gentemann, C. L., Edson, J., Ueki, I., Bourassa, M., Brown, S., Clayson, C. A., Fairall, C. W., Farrar, J. T., Gille, S. T., Gulev, S., Josey, S. A., Kato, S., Katsumata, M., Kent, E., Krug, M., Minnett, P. J., Parfitt, R., Pinker, R. T., Stackhouse Jr., P. W., Swart, S., Tomita, H., Vandemark, D., Weller, R. A., Yoneyama, K., Yu, L., and Zhang, D.: Air-sea fluxes with a focus on heat and momentum, Frontiers in Marine Science, 6, 430, <ext-link xlink:href="https://doi.org/10.3389/fmars.2019.00430" ext-link-type="DOI">10.3389/fmars.2019.00430</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Edson et al.(2013)Edson, Jampana, Weller, Bigorre, Plueddemann, Fairall, Miller, Mahrt, Vickers, and Hersbach</label><mixed-citation> Edson, J. B., Jampana, V., Weller, R. A., Bigorre, S. P., Plueddemann, A. J., Fairall, C. W., Miller, S. D., Mahrt, L., Vickers, D., and Hersbach, H.: On the exchange of momentum over the open ocean, J. Phys. Oceanogr., 43, 1589–1610, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Fairall et al.(1996)Fairall, Bradley, Rogers, Edson, and Young</label><mixed-citation> Fairall, C. W., Bradley, E. F., Rogers, D. P., Edson, J. B., and Young, G. S.: Bulk parameterization of air-sea fluxes for tropical ocean-global atmosphere coupled-ocean atmosphere response experiment, J. Geophys. Res.-Oceans, 101, 3747–3764, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Fiedler et al.(2010)Fiedler, Lachlan-Cope, Renfrew, and King</label><mixed-citation>Fiedler, E., Lachlan-Cope, T., Renfrew, I., and King, J.: Convective heat transfer over thin ice covered coastal polynyas, J. Geophys. Res.-Oceans, 115, C10051, <ext-link xlink:href="https://doi.org/10.1029/2009JC005797" ext-link-type="DOI">10.1029/2009JC005797</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Forster et al.(2021)Forster, Storelvmo, Armour, Collins, Dufresne, Frame, Lunt, Mauritsen, Palmer, Watanabe et al.</label><mixed-citation>Forster, P., Storelvmo, T., Armour, K., Collins, W., Dufresne, J.-L., Frame, D., Lunt, D. J., Mauritsen, T., Palmer, M. D., Watanabe, M., Wild, M., and Zhang, H.: The Earth’s Energy Budget, Climate Feedbacks, and Climate Sensitivity. In Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Masson-Delmotte, V., Zhai, P., Pirani, A., Connors, S. L., Péan, C., Berger, S., Caud, N., Chen, Y., Goldfarb, L., Gomis, M. I., Huang, M., Leitzell, K., Lonnoy, E., Matthews, J. B. R., Maycock, T. K., Waterfield, T., Yelekçi, O., Yu, R., and Zhou, B.,  Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA,  923–1054, <ext-link xlink:href="https://doi.org/10.1017/9781009157896.009" ext-link-type="DOI">10.1017/9781009157896.009</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Garcia et al.(2021)Garcia, Comiso, Berkelhammer, and Stock</label><mixed-citation>Garcia, C., Comiso, J. C., Berkelhammer, M., and Stock, L.: Interrelationships of sea surface salinity, chlorophyll-<inline-formula><mml:math id="M324" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> concentration, and sea surface temperature near the Antarctic ice edge, J. Climate, 34, 6069–6086, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Hersbach et al.(2020)Hersbach, Bell, Berrisford, Hirahara, Horányi, Muñoz-Sabater, Nicolas, Peubey, Radu, Schepers et al.</label><mixed-citation> Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.: The ERA5 global reanalysis, Q. J. Roy. Meteor. Soc., 146, 1999–2049, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Hosking et al.(2013)Hosking, Orr, Marshall, Turner, and Phillips</label><mixed-citation> Hosking, J. S., Orr, A., Marshall, G. J., Turner, J., and Phillips, T.: The influence of the Amundsen–Bellingshausen Seas low on the climate of West Antarctica and its representation in coupled climate model simulations, J. Climate, 26, 6633–6648, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Hosking et al.(2016)Hosking, Orr, Bracegirdle, and Turner</label><mixed-citation> Hosking, J. S., Orr, A., Bracegirdle, T. J., and Turner, J.: Future circulation changes off West Antarctica: Sensitivity of the Amundsen Sea Low to projected anthropogenic forcing, Geophys. Res. Lett., 43, 367–376, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Jones et al.(2016)Jones, Renfrew, Orr, Webber, Holland, and Lazzara</label><mixed-citation> Jones, R., Renfrew, I., Orr, A., Webber, B., Holland, D., and Lazzara, M.: Evaluation of four global reanalysis products using in situ observations in the Amundsen Sea Embayment, Antarctica, J. Geophys. Res.-Atmos., 121, 6240–6257, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Jones(2018)</label><mixed-citation>Jones, R. W.: Weather and climate in the Amundsen Sea Embayment, West Antartica: observations, reanalyses and high resolution modelling, PhD thesis, University of East Anglia, <uri>https://ueaeprints.uea.ac.uk/id/eprint/66998</uri> (last access: 31 January 2025), 2018.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Kim et al.(2016)Kim, Kim, Cho, Ha, Lee, Kim, and Lee</label><mixed-citation>Kim, C.-S., Kim, T.-W., Cho, K.-H., Ha, H. K., Lee, S., Kim, H.-C., and Lee, J.-H.: Variability of the Antarctic Coastal Current in the Amundsen Sea, Estuar. Coast. Shelf S., 181, 123–133, <ext-link xlink:href="https://doi.org/10.1016/j.ecss.2016.08.004" ext-link-type="DOI">10.1016/j.ecss.2016.08.004</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Kumar et al.(2021)Kumar, Yadav, and Mohan</label><mixed-citation>Kumar, A., Yadav, J., and Mohan, R.: Seasonal sea-ice variability and its trend in the Weddell Sea sector of West Antarctica, Environ. Res. Lett., 16, 024046, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/abdc88" ext-link-type="DOI">10.1088/1748-9326/abdc88</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Landwehr et al.(2020)Landwehr, Thurnherr, Cassar, Gysel-Beer, and Schmale</label><mixed-citation>Landwehr, S., Thurnherr, I., Cassar, N., Gysel-Beer, M., and Schmale, J.: Using global reanalysis data to quantify and correct airflow distortion bias in shipborne wind speed measurements, Atmos. Meas. Tech., 13, 3487–3506, <ext-link xlink:href="https://doi.org/10.5194/amt-13-3487-2020" ext-link-type="DOI">10.5194/amt-13-3487-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Moat et al.(2005)Moat, Yelland, and Molland</label><mixed-citation>Moat, B. I., Yelland, M. J., and Molland, A. F.:  The effect of ship shape and anemometer location on wind speed measurements obtained from ships, 4th International Conference on Marine Computational Fluid Dynamics, Southampton, UK, 30–31 March 2005,  133–139, <uri>https://eprints.soton.ac.uk/23778/</uri> (last access: 31 January 2025), 2005.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Morales Maqueda et al.(2004)Morales Maqueda, Willmott, and Biggs</label><mixed-citation>Morales Maqueda, M. A., Willmott, A. J., and Biggs, N.: Polynya dynamics: A review of observations and modeling, Rev. Geophys., 42, RG1004, <ext-link xlink:href="https://doi.org/10.1029/2002RG000116" ext-link-type="DOI">10.1029/2002RG000116</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Morlighem(2022)</label><mixed-citation>Morlighem, M.: MEaSUREs BedMachine Antarctica. (NSIDC-0756, Version 3), Boulder, Colorado USA, NASA National Snow and Ice Data Center Distributed Active Archive Center [data set], <ext-link xlink:href="https://doi.org/10.5067/FPSU0V1MWUB6" ext-link-type="DOI">10.5067/FPSU0V1MWUB6</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Morlighem et al.(2020)Morlighem, Rignot, Binder, Blankenship, Drews, Eagles, Eisen, Ferraccioli, Forsberg, Fretwell et al.</label><mixed-citation> Morlighem, M., Rignot, E., Binder, T., Blankenship, D., Drews, R., Eagles, G., Eisen, O., Ferraccioli, F., Forsberg, R., Fretwell, P., Goel, V., Greenbaum, J. S., Gudmundsson, H.,  Guo, J., Helm V., Hofstede, C., Howat, I., Humbert, A.,  Jokat, W.,  Karlsson, N. B., Lee, W. S., Matsuoka,  K., Millan, R., Mouginot, J., Paden J., Pattyn, F., Roberts, J., Rosier, S., Ruppel, A., Seroussi, H., Smith,  E. C., Steinhage, D., Sun, B., van den Broeke,  M. R., van Ommen, T. D., van Wessem, M., and Young, D. A.: Deep glacial troughs and stabilizing ridges unveiled beneath the margins of the Antarctic ice sheet, Nat. Geosci., 13, 132–137, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Nihashi and Ohshima(2001)</label><mixed-citation> Nihashi, S. and Ohshima, K. I.: Relationship between the sea ice cover in the retreat and advance seasons in the Antarctic Ocean, Geophys. Res. Lett., 28, 3677–3680, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Ogle et al.(2018)Ogle, Tamsitt, Josey, Gille, Cerovečki, Talley, and Weller</label><mixed-citation> Ogle, S., Tamsitt, V., Josey, S., Gille, S., Cerovečki, I., Talley, L., and Weller, R.: Episodic Southern Ocean heat loss and its mixed layer impacts revealed by the farthest south multiyear surface flux mooring, Geophys. Res. Lett., 45, 5002–5010, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Ohshima et al.(1998)Ohshima, Yoshida, Shimoda, Wakatsuchi, Endoh, and Fakuchi</label><mixed-citation> Ohshima, K. I., Yoshida, K., Shimoda, H., Wakatsuchi, M., Endoh, T., and Fakuchi, M.: Relationship between the upper ocean and sea ice during the Antarctic melting season, J. Geophys. Res.-Oceans, 103, 7601–7615, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Papritz et al.(2015)Papritz, Pfahl, Sodemann, and Wernli</label><mixed-citation> Papritz, L., Pfahl, S., Sodemann, H., and Wernli, H.: A climatology of cold air outbreaks and their impact on air–sea heat fluxes in the high-latitude South Pacific, J. Climate, 28, 342–364, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Price et al.(1986)Price, Weller, and Pinkel</label><mixed-citation> Price, J. F., Weller, R. A., and Pinkel, R.: Diurnal cycling: Observations and models of the upper ocean response to diurnal heating, cooling, and wind mixing, J. Geophys. Res.-Oceans, 91, 8411–8427, 1986.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Purich and Doddridge(2023)</label><mixed-citation>Purich, A. and Doddridge, E. W.: Record low Antarctic sea ice coverage indicates a new sea ice state, Commun. Earth Environ., 4, 314, <ext-link xlink:href="https://doi.org/10.1038/s43247-023-00961-9" ext-link-type="DOI">10.1038/s43247-023-00961-9</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Queste et al.(2024)Queste, Jacob, and du Plessis</label><mixed-citation>Queste, B., Jacob, B., and du Plessis, M.: Data used in the manuscript entitled “Turbulent heat flux dynamics along the Dotson and Getz ice-shelf fronts (Amundsen Sea, Antarctica)”, Zenodo [data set], <ext-link xlink:href="https://doi.org/10.5281/zenodo.12647855" ext-link-type="DOI">10.5281/zenodo.12647855</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Renfrew et al.(2002)Renfrew, King, and Markus</label><mixed-citation>Renfrew, I. A., King, J. C., and Markus, T.: Coastal polynyas in the southern Weddell Sea: Variability of the surface energy budget, J. Geophys. Res.-Oceans, 107, 3063, <ext-link xlink:href="https://doi.org/10.1029/2000JC000720" ext-link-type="DOI">10.1029/2000JC000720</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Scambos et al.(2017)Scambos, Bell, Alley, Anandakrishnan, Bromwich, Brunt, Christianson, Creyts, Das, DeConto et al.</label><mixed-citation> Scambos, T. A., Bell, R. E., Alley, R. B., Anandakrishnan, S., Bromwich, D., Brunt, K., Christianson, K., Creyts, T., Das, S., DeConto, R., Dutrieux, P., Fricker, H. A., Holland, D., MacGregor, J., Medley, B., Nicolas, J. P., Pollard, D., Siegfried, M. R., Smith, A. M., Steig, E. J., Trusel, L. D., Vaughan, D. G., and Yager, P. L.: How much, how fast?: A science review and outlook for research on the instability of Antarctica's Thwaites Glacier in the 21st century, Global   Planet. Change, 153, 16–34, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Schaffer and Timmermann(2016)</label><mixed-citation>Schaffer, J. and Timmermann, R.: Greenland and Antarctic ice sheet topography, cavity geometry, and global bathymetry (RTopo-2), links to NetCDF files, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.856844" ext-link-type="DOI">10.1594/PANGAEA.856844</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Schaffer et al.(2016)</label><mixed-citation>Schaffer, J., Timmermann, R., Arndt, J. E., Kristensen, S. S., Mayer, C., Morlighem, M., and Steinhage, D.: A global, high-resolution data set of ice sheet topography, cavity geometry, and ocean bathymetry, Earth Syst. Sci. Data, 8, 543–557, <ext-link xlink:href="https://doi.org/10.5194/essd-8-543-2016" ext-link-type="DOI">10.5194/essd-8-543-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Smith and Barber(2007)</label><mixed-citation> Smith Jr., W. O. and Barber, D.: Windows to the world, Elsevier,  ISBN 9780444529527, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Spreen et al.(2008)Spreen, Kaleschke, and Heygster</label><mixed-citation>Spreen, G., Kaleschke, L., and Heygster, G.: Sea ice remote sensing using AMSR-E 89-GHz channels, J. Geophys. Res.-Oceans, 113,  C02S03, <ext-link xlink:href="https://doi.org/10.1029/2005JC003384" ext-link-type="DOI">10.1029/2005JC003384</ext-link>, 2008 (data available at: <uri>https://data.seaice.uni-bremen.de/amsr2/</uri>, last access: 31 January 2025).</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Stammerjohn et al.(2012)Stammerjohn, Massom, Rind, and Martinson</label><mixed-citation>Stammerjohn, S., Massom, R., Rind, D., and Martinson, D.: Regions of rapid sea ice change: An inter-hemispheric seasonal comparison, Geophys. Res. Lett., 39, L06501, <ext-link xlink:href="https://doi.org/10.1029/2012GL050874" ext-link-type="DOI">10.1029/2012GL050874</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Stewart et al.(2019)Stewart, Christoffersen, Nicholls, Williams, and Dowdeswell</label><mixed-citation> Stewart, C. L., Christoffersen, P., Nicholls, K. W., Williams, M. J., and Dowdeswell, J. A.: Basal melting of Ross Ice Shelf from solar heat absorption in an ice-front polynya, Nat. Geosci., 12, 435–440, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Swart et al.(2019)Swart, Gille, Delille, Josey, Mazloff, Newman, Thompson, Thomson, Ward, Du Plessis et al.</label><mixed-citation>Swart, S., Gille, S. T., Delille, B., Josey, S., Mazloff, M., Newman, L., Thompson, A. F., Thomson, J., Ward, B., Du Plessis, M. D., Kent, E. C., Girton, J., Gregor, L., Heil, P., Hyder, P., Ponzi Pezzi L., Buss de Souza R., Tamsitt, V., Weller, R. A., and Zappa, C. J.: Constraining Southern Ocean air-sea-ice fluxes through enhanced observations, Frontiers in Marine Science, 6, 421, <ext-link xlink:href="https://doi.org/10.3389/fmars.2019.00421" ext-link-type="DOI">10.3389/fmars.2019.00421</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Tanimoto et al.(2003)Tanimoto, Nakamura, Kagimoto, and Yamane</label><mixed-citation>Tanimoto, Y., Nakamura, H., Kagimoto, T., and Yamane, S.: An active role of extratropical sea surface temperature anomalies in determining anomalous turbulent heat flux, J. Geophys. Res.-Oceans, 108, 3304, <ext-link xlink:href="https://doi.org/10.1029/2002JC001750" ext-link-type="DOI">10.1029/2002JC001750</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Turner et al.(2017)Turner, Orr, Gudmundsson, Jenkins, Bingham, Hillenbrand, and Bracegirdle</label><mixed-citation> Turner, J., Orr, A., Gudmundsson, G. H., Jenkins, A., Bingham, R. G., Hillenbrand, C.-D., and Bracegirdle, T. J.: Atmosphere-ocean-ice interactions in the Amundsen Sea embayment, West Antarctica, Rev. Geophys., 55, 235–276, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Turner et al.(2022)Turner, Holmes, Caton Harrison, Phillips, Jena, Reeves-Francois, Fogt, Thomas, and Bajish</label><mixed-citation>Turner, J., Holmes, C., Caton Harrison, T., Phillips, T., Jena, B., Reeves-Francois, T., Fogt, R., Thomas, E. R., and Bajish, C.: Record low Antarctic sea ice cover in February 2022, Geophys. Res. Lett., 49, e2022GL098904, <ext-link xlink:href="https://doi.org/10.1029/2022GL098904" ext-link-type="DOI">10.1029/2022GL098904</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Yadav et al.(2022)Yadav, Kumar, and Mohan</label><mixed-citation>Yadav, J., Kumar, A., and Mohan, R.: Atmospheric precursors to the Antarctic sea ice record low in February 2022, Environ. Res. Commun., 4, 121005, <ext-link xlink:href="https://doi.org/10.1088/2515-7620/aca5f2" ext-link-type="DOI">10.1088/2515-7620/aca5f2</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Yang et al.(2016)Yang, Liu, Lohmann, Shi, Hu, and Chen</label><mixed-citation> Yang, H., Liu, J., Lohmann, G., Shi, X., Hu, Y., and Chen, X.: Ocean-atmosphere dynamics changes associated with prominent ocean surface turbulent heat fluxes trends during 1958–2013, Ocean Dynam., 66, 353–365, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Yelland et al.(1998)Yelland, Moat, Taylor, Pascal, Hutchings, and Cornell</label><mixed-citation>Yelland, M., Moat, B., Taylor, P., Pascal, R., Hutchings, J., and Cornell, V.: Wind stress measurements from the open ocean corrected for airflow distortion by the ship, J. Phys. Oceanogr., 28, 1511–1526, 1998.  </mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Yu(2019)</label><mixed-citation> Yu, L.: Global air–sea fluxes of heat, fresh water, and momentum: Energy budget closure and unanswered questions, Annu. Rev. Mar. Sci., 11, 227–248, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Yu et al.(2023)Yu, He, Leng, Liu, and Lin</label><mixed-citation>Yu, L.-S., He, H., Leng, H., Liu, H., and Lin, P.: Interannual variation of summer sea surface temperature in the Amundsen Sea, Antarctica, Frontiers in Marine Science, 10, 1050955, <ext-link xlink:href="https://doi.org/10.3389/fmars.2023.1050955" ext-link-type="DOI">10.3389/fmars.2023.1050955</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Zhou et al.(2022)Zhou, Heuzé, and Mohrmann</label><mixed-citation>Zhou, L., Heuzé, C., and Mohrmann, M.: Early winter triggering of the Maud Rise polynya, Geophys. Res. Lett., 49, e2021GL096246, <ext-link xlink:href="https://doi.org/10.1029/2021GL096246" ext-link-type="DOI">10.1029/2021GL096246</ext-link>, 2022.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Turbulent heat flux dynamics along the Dotson and Getz ice-shelf fronts (Amundsen Sea, Antarctica)</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Arrigo and van Dijken(2003)</label><mixed-citation>
      
Arrigo, K. R. and van Dijken, G. L.: Phytoplankton dynamics within 37 Antarctic
coastal polynya systems, J. Geophys. Res.-Oceans, 108, 3271, <a href="https://doi.org/10.1029/2002JC001739" target="_blank">https://doi.org/10.1029/2002JC001739</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Arrigo et al.(2012)Arrigo, Lowry, and van Dijken</label><mixed-citation>
      
Arrigo, K. R., Lowry, K. E., and van Dijken, G. L.: Annual changes in sea ice
and phytoplankton in polynyas of the Amundsen Sea, Antarctica, Deep-Sea
Res. Pt II, 71, 5–15, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Bigg et al.(2003)Bigg, Jickells, Liss, and Osborn</label><mixed-citation>
      
Bigg, G. R., Jickells, T. D., Liss, P. S., and Osborn, T. J.: The role of the
oceans in climate, Int. J. Climatol., 23, 1127–1159, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Biri et al.(2023)Biri, Cornes, Berry, Kent, and
Yelland</label><mixed-citation>
      
Biri, S., Cornes, R. C., Berry, D. I., Kent, E. C., and Yelland, M. J.:
AirSeaFluxCode: Open-source software for calculating turbulent air-sea fluxes
from meteorological parameters, Frontiers in Marine Science, 9, 1049168, <a href="https://doi.org/10.3389/fmars.2022.1049168" target="_blank">https://doi.org/10.3389/fmars.2022.1049168</a>,
2023 (code available at: <a href="https://github.com/NOCSurfaceProcesses/AirSeaFluxCode/" target="_blank"/>, last access: 31 January 2025).

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Bourassa et al.(2013)Bourassa, Gille, Bitz, Carlson, Cerovecki,
Clayson, Cronin, Drennan, Fairall, Hoffman et al.</label><mixed-citation>
      
Bourassa, M. A., Gille, S. T., Bitz, C., Carlson, D., Cerovecki, I., Clayson, C. A., Cronin, M. F., Drennan, W. M., Fairall, C. W., Hoffman, R. N., Magnusdottir, G., Pinker, R. T., Renfrew, I. A., Serreze, M., Speer, K., Talley, L. D., and Wick, G. A.:
High-latitude ocean and sea ice surface fluxes: Challenges for climate
research, B. Am. Meteorol. Soc., 94, 403–423,
2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Bracegirdle and Marshall(2012)</label><mixed-citation>
      
Bracegirdle, T. J. and Marshall, G. J.: The reliability of Antarctic
tropospheric pressure and temperature in the latest global reanalyses,
J. Climate, 25, 7138–7146, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Bromwich et al.(2011)Bromwich, Nicolas, and
Monaghan</label><mixed-citation>
      
Bromwich, D. H., Nicolas, J. P., and Monaghan, A. J.: An assessment of
precipitation changes over Antarctica and the Southern Ocean since 1989 in
contemporary global reanalyses, J. Climate, 24, 4189–4209, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Buck(2012)</label><mixed-citation>
      
Buck: Model CR-1A hygrometer with autofill operating manual, Tech. rep., Buck
Research Instruments, LLC, <a href="https://www.hygrometers.com/wp-content/uploads/CR-1A-users-manual-2009-12.pdf" target="_blank"/> (last access:  31 January 2025), 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Caton Harrison et al.(2022)Caton Harrison, Biri, Bracegirdle, King,
Kent, Vignon, and Turner</label><mixed-citation>
      
Caton Harrison, T., Biri, S., Bracegirdle, T. J., King, J. C., Kent, E. C.,
Vignon, É., and Turner, J.: Reanalysis representation of low-level winds
in the Antarctic near-coastal region, Weather   Clim. Dynam., 3,
1415–1437, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Cayan(1992)</label><mixed-citation>
      
Cayan, D. R.: Variability of latent and sensible heat fluxes estimated using
bulk formulae, Atmos.-Ocean, 30, 1–42, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Chuda et al.(2008)Chuda, Niino, Yoneyama, Katsumata, Ushiyama, and
Tsukamoto</label><mixed-citation>
      
Chuda, T., Niino, H., Yoneyama, K., Katsumata, M., Ushiyama, T., and Tsukamoto,
O.: A statistical analysis of surface turbulent heat flux enhancements due to
precipitating clouds observed in the tropical western Pacific, J.
Meteorol. Soc. Jpn., 86, 439–457, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Copernicus Climate Change Service, Climate Data Store(2023)</label><mixed-citation>
      
Copernicus Climate Change Service, Climate Data Store: ERA5 hourly data on single levels from 1940 to present, Copernicus Climate Change Service (C3S) Climate Data Store (CDS) [data set], <a href="https://doi.org/10.24381/cds.adbb2d47" target="_blank">https://doi.org/10.24381/cds.adbb2d47</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Cronin et al.(2019)Cronin, Gentemann, Edson, Ueki, Bourassa, Brown,
Clayson, Fairall, Farrar, Gille et al.</label><mixed-citation>
      
Cronin, M. F., Gentemann, C. L., Edson, J., Ueki, I., Bourassa, M., Brown, S., Clayson, C. A., Fairall, C. W., Farrar, J. T., Gille, S. T., Gulev, S., Josey, S. A., Kato, S., Katsumata, M., Kent, E., Krug, M., Minnett, P. J., Parfitt, R., Pinker, R. T., Stackhouse Jr., P. W., Swart, S., Tomita, H., Vandemark, D., Weller, R. A., Yoneyama, K., Yu, L., and Zhang, D.: Air-sea
fluxes with a focus on heat and momentum, Frontiers in Marine Science, 6,
430, <a href="https://doi.org/10.3389/fmars.2019.00430" target="_blank">https://doi.org/10.3389/fmars.2019.00430</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Edson et al.(2013)Edson, Jampana, Weller, Bigorre, Plueddemann,
Fairall, Miller, Mahrt, Vickers, and Hersbach</label><mixed-citation>
      
Edson, J. B., Jampana, V., Weller, R. A., Bigorre, S. P., Plueddemann, A. J.,
Fairall, C. W., Miller, S. D., Mahrt, L., Vickers, D., and Hersbach, H.: On
the exchange of momentum over the open ocean, J. Phys.
Oceanogr., 43, 1589–1610, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Fairall et al.(1996)Fairall, Bradley, Rogers, Edson, and
Young</label><mixed-citation>
      
Fairall, C. W., Bradley, E. F., Rogers, D. P., Edson, J. B., and Young, G. S.:
Bulk parameterization of air-sea fluxes for tropical ocean-global atmosphere
coupled-ocean atmosphere response experiment, J. Geophys. Res.-Oceans, 101, 3747–3764, 1996.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Fiedler et al.(2010)Fiedler, Lachlan-Cope, Renfrew, and
King</label><mixed-citation>
      
Fiedler, E., Lachlan-Cope, T., Renfrew, I., and King, J.: Convective heat
transfer over thin ice covered coastal polynyas, J. Geophys. Res.-Oceans, 115, C10051, <a href="https://doi.org/10.1029/2009JC005797" target="_blank">https://doi.org/10.1029/2009JC005797</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Forster et al.(2021)Forster, Storelvmo, Armour, Collins, Dufresne,
Frame, Lunt, Mauritsen, Palmer, Watanabe et al.</label><mixed-citation>
      
Forster, P., Storelvmo, T., Armour, K., Collins, W., Dufresne, J.-L., Frame, D., Lunt, D. J., Mauritsen, T., Palmer, M. D., Watanabe, M., Wild, M., and Zhang, H.: The Earth’s Energy Budget, Climate Feedbacks, and Climate Sensitivity. In Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Masson-Delmotte, V., Zhai, P., Pirani, A., Connors, S. L., Péan, C., Berger, S., Caud, N., Chen, Y., Goldfarb, L., Gomis, M. I., Huang, M., Leitzell, K., Lonnoy, E., Matthews, J. B. R., Maycock, T. K., Waterfield, T., Yelekçi, O., Yu, R., and Zhou, B.,  Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA,  923–1054, <a href="https://doi.org/10.1017/9781009157896.009" target="_blank">https://doi.org/10.1017/9781009157896.009</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Garcia et al.(2021)Garcia, Comiso, Berkelhammer, and
Stock</label><mixed-citation>
      
Garcia, C., Comiso, J. C., Berkelhammer, M., and Stock, L.: Interrelationships
of sea surface salinity, chlorophyll-<i>α</i> concentration, and sea surface
temperature near the Antarctic ice edge, J. Climate, 34, 6069–6086,
2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Hersbach et al.(2020)Hersbach, Bell, Berrisford, Hirahara,
Horányi, Muñoz-Sabater, Nicolas, Peubey, Radu, Schepers
et al.</label><mixed-citation>
      
Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.: The ERA5 global reanalysis, Q. J. Roy.
Meteor. Soc., 146, 1999–2049, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Hosking et al.(2013)Hosking, Orr, Marshall, Turner, and
Phillips</label><mixed-citation>
      
Hosking, J. S., Orr, A., Marshall, G. J., Turner, J., and Phillips, T.: The
influence of the Amundsen–Bellingshausen Seas low on the climate of West
Antarctica and its representation in coupled climate model simulations,
J. Climate, 26, 6633–6648, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Hosking et al.(2016)Hosking, Orr, Bracegirdle, and
Turner</label><mixed-citation>
      
Hosking, J. S., Orr, A., Bracegirdle, T. J., and Turner, J.: Future circulation
changes off West Antarctica: Sensitivity of the Amundsen Sea Low to projected
anthropogenic forcing, Geophys. Res. Lett., 43, 367–376, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Jones et al.(2016)Jones, Renfrew, Orr, Webber, Holland, and
Lazzara</label><mixed-citation>
      
Jones, R., Renfrew, I., Orr, A., Webber, B., Holland, D., and Lazzara, M.:
Evaluation of four global reanalysis products using in situ observations in
the Amundsen Sea Embayment, Antarctica, J. Geophys. Res.-Atmos., 121, 6240–6257, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Jones(2018)</label><mixed-citation>
      
Jones, R. W.: Weather and climate in the Amundsen Sea Embayment, West
Antartica: observations, reanalyses and high resolution modelling, PhD
thesis, University of East Anglia, <a href="https://ueaeprints.uea.ac.uk/id/eprint/66998" target="_blank"/> (last access: 31 January 2025), 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Kim et al.(2016)Kim, Kim, Cho, Ha, Lee, Kim, and Lee</label><mixed-citation>
      
Kim, C.-S., Kim, T.-W., Cho, K.-H., Ha, H. K., Lee, S., Kim, H.-C., and Lee,
J.-H.: Variability of the Antarctic Coastal Current in the Amundsen Sea,
Estuar. Coast. Shelf S., 181, 123–133, <a href="https://doi.org/10.1016/j.ecss.2016.08.004" target="_blank">https://doi.org/10.1016/j.ecss.2016.08.004</a>,
2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Kumar et al.(2021)Kumar, Yadav, and Mohan</label><mixed-citation>
      
Kumar, A., Yadav, J., and Mohan, R.: Seasonal sea-ice variability and its trend
in the Weddell Sea sector of West Antarctica, Environ. Res. Lett.,
16, 024046, <a href="https://doi.org/10.1088/1748-9326/abdc88" target="_blank">https://doi.org/10.1088/1748-9326/abdc88</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Landwehr et al.(2020)Landwehr, Thurnherr, Cassar, Gysel-Beer, and
Schmale</label><mixed-citation>
      
Landwehr, S., Thurnherr, I., Cassar, N., Gysel-Beer, M., and Schmale, J.: Using global reanalysis data to quantify and correct airflow distortion bias in shipborne wind speed measurements, Atmos. Meas. Tech., 13, 3487–3506, <a href="https://doi.org/10.5194/amt-13-3487-2020" target="_blank">https://doi.org/10.5194/amt-13-3487-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Moat et al.(2005)Moat, Yelland, and Molland</label><mixed-citation>
      
Moat, B. I., Yelland, M. J., and Molland, A. F.:  The effect of ship shape and anemometer location on wind speed measurements obtained from ships, 4th International Conference on Marine Computational Fluid Dynamics, Southampton, UK, 30–31 March 2005,  133–139, <a href="https://eprints.soton.ac.uk/23778/" target="_blank"/> (last access: 31 January 2025), 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Morales Maqueda et al.(2004)Morales Maqueda, Willmott, and
Biggs</label><mixed-citation>
      
Morales Maqueda, M. A., Willmott, A. J., and Biggs, N.: Polynya dynamics: A
review of observations and modeling, Rev. Geophys., 42, RG1004, <a href="https://doi.org/10.1029/2002RG000116" target="_blank">https://doi.org/10.1029/2002RG000116</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Morlighem(2022)</label><mixed-citation>
      
Morlighem, M.: MEaSUREs BedMachine Antarctica. (NSIDC-0756, Version 3), Boulder, Colorado USA, NASA National Snow and Ice Data Center Distributed Active Archive Center [data set], <a href="https://doi.org/10.5067/FPSU0V1MWUB6" target="_blank">https://doi.org/10.5067/FPSU0V1MWUB6</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Morlighem et al.(2020)Morlighem, Rignot, Binder, Blankenship, Drews,
Eagles, Eisen, Ferraccioli, Forsberg, Fretwell et al.</label><mixed-citation>
      
Morlighem, M., Rignot, E., Binder, T., Blankenship, D., Drews, R., Eagles, G., Eisen, O., Ferraccioli, F., Forsberg, R., Fretwell, P., Goel, V., Greenbaum, J. S., Gudmundsson, H.,  Guo, J., Helm V., Hofstede, C., Howat, I., Humbert, A.,  Jokat, W.,  Karlsson, N. B., Lee, W. S., Matsuoka,  K., Millan, R., Mouginot, J., Paden J., Pattyn, F., Roberts, J., Rosier, S., Ruppel, A., Seroussi, H., Smith,  E. C., Steinhage, D., Sun, B., van den Broeke,  M. R., van Ommen, T. D., van Wessem, M., and Young, D. A.: Deep glacial
troughs and stabilizing ridges unveiled beneath the margins of the Antarctic
ice sheet, Nat. Geosci., 13, 132–137, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Nihashi and Ohshima(2001)</label><mixed-citation>
      
Nihashi, S. and Ohshima, K. I.: Relationship between the sea ice cover in the
retreat and advance seasons in the Antarctic Ocean, Geophys. Res.
Lett., 28, 3677–3680, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Ogle et al.(2018)Ogle, Tamsitt, Josey, Gille, Cerovečki,
Talley, and Weller</label><mixed-citation>
      
Ogle, S., Tamsitt, V., Josey, S., Gille, S., Cerovečki, I., Talley, L.,
and Weller, R.: Episodic Southern Ocean heat loss and its mixed layer impacts
revealed by the farthest south multiyear surface flux mooring, Geophys.
Res. Lett., 45, 5002–5010, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Ohshima et al.(1998)Ohshima, Yoshida, Shimoda, Wakatsuchi, Endoh, and
Fakuchi</label><mixed-citation>
      
Ohshima, K. I., Yoshida, K., Shimoda, H., Wakatsuchi, M., Endoh, T., and
Fakuchi, M.: Relationship between the upper ocean and sea ice during the
Antarctic melting season, J. Geophys. Res.-Oceans, 103,
7601–7615, 1998.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Papritz et al.(2015)Papritz, Pfahl, Sodemann, and
Wernli</label><mixed-citation>
      
Papritz, L., Pfahl, S., Sodemann, H., and Wernli, H.: A climatology of cold air
outbreaks and their impact on air–sea heat fluxes in the high-latitude South
Pacific, J. Climate, 28, 342–364, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Price et al.(1986)Price, Weller, and Pinkel</label><mixed-citation>
      
Price, J. F., Weller, R. A., and Pinkel, R.: Diurnal cycling: Observations and
models of the upper ocean response to diurnal heating, cooling, and wind
mixing, J. Geophys. Res.-Oceans, 91, 8411–8427, 1986.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Purich and Doddridge(2023)</label><mixed-citation>
      
Purich, A. and Doddridge, E. W.: Record low Antarctic sea ice coverage
indicates a new sea ice state, Commun. Earth Environ., 4, 314, <a href="https://doi.org/10.1038/s43247-023-00961-9" target="_blank">https://doi.org/10.1038/s43247-023-00961-9</a>,
2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Queste et al.(2024)Queste, Jacob, and du Plessis</label><mixed-citation>
      
Queste, B., Jacob, B., and du Plessis, M.: Data used in the manuscript entitled
“Turbulent heat flux dynamics along the Dotson and Getz ice-shelf fronts
(Amundsen Sea, Antarctica)”, Zenodo [data set], <a href="https://doi.org/10.5281/zenodo.12647855" target="_blank">https://doi.org/10.5281/zenodo.12647855</a>,
2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Renfrew et al.(2002)Renfrew, King, and Markus</label><mixed-citation>
      
Renfrew, I. A., King, J. C., and Markus, T.: Coastal polynyas in the southern
Weddell Sea: Variability of the surface energy budget, J. Geophys.
Res.-Oceans, 107, 3063, <a href="https://doi.org/10.1029/2000JC000720" target="_blank">https://doi.org/10.1029/2000JC000720</a>, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Scambos et al.(2017)Scambos, Bell, Alley, Anandakrishnan, Bromwich,
Brunt, Christianson, Creyts, Das, DeConto et al.</label><mixed-citation>
      
Scambos, T. A., Bell, R. E., Alley, R. B., Anandakrishnan, S., Bromwich, D., Brunt, K., Christianson, K., Creyts, T., Das, S., DeConto, R., Dutrieux, P., Fricker, H. A., Holland, D., MacGregor, J., Medley, B., Nicolas, J. P., Pollard, D., Siegfried, M. R., Smith, A. M., Steig, E. J., Trusel, L. D., Vaughan, D. G., and Yager, P. L.: How
much, how fast?: A science review and outlook for research on the instability
of Antarctica's Thwaites Glacier in the 21st century, Global   Planet.
Change, 153, 16–34, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Schaffer and Timmermann(2016)</label><mixed-citation>
      
Schaffer, J. and Timmermann, R.: Greenland and Antarctic ice sheet topography, cavity geometry, and global bathymetry (RTopo-2), links to NetCDF files, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.856844" target="_blank">https://doi.org/10.1594/PANGAEA.856844</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Schaffer et al.(2016)</label><mixed-citation>
      
Schaffer, J., Timmermann, R., Arndt, J. E., Kristensen, S. S., Mayer, C., Morlighem, M., and Steinhage, D.: A global, high-resolution data set of ice sheet topography, cavity geometry, and ocean bathymetry, Earth Syst. Sci. Data, 8, 543–557, <a href="https://doi.org/10.5194/essd-8-543-2016" target="_blank">https://doi.org/10.5194/essd-8-543-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Smith and Barber(2007)</label><mixed-citation>
      
Smith Jr., W. O. and Barber, D.: Windows to the world, Elsevier,  ISBN 9780444529527, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Spreen et al.(2008)Spreen, Kaleschke, and Heygster</label><mixed-citation>
      
Spreen, G., Kaleschke, L., and Heygster, G.: Sea ice remote sensing using
AMSR-E 89-GHz channels, J. Geophys. Res.-Oceans, 113,  C02S03, <a href="https://doi.org/10.1029/2005JC003384" target="_blank">https://doi.org/10.1029/2005JC003384</a>, 2008 (data available at: <a href="https://data.seaice.uni-bremen.de/amsr2/" target="_blank"/>, last access: 31 January 2025).

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Stammerjohn et al.(2012)Stammerjohn, Massom, Rind, and
Martinson</label><mixed-citation>
      
Stammerjohn, S., Massom, R., Rind, D., and Martinson, D.: Regions of rapid sea
ice change: An inter-hemispheric seasonal comparison, Geophys. Res.
Lett., 39, L06501, <a href="https://doi.org/10.1029/2012GL050874" target="_blank">https://doi.org/10.1029/2012GL050874</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Stewart et al.(2019)Stewart, Christoffersen, Nicholls, Williams, and
Dowdeswell</label><mixed-citation>
      
Stewart, C. L., Christoffersen, P., Nicholls, K. W., Williams, M. J., and
Dowdeswell, J. A.: Basal melting of Ross Ice Shelf from solar heat absorption
in an ice-front polynya, Nat. Geosci., 12, 435–440, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Swart et al.(2019)Swart, Gille, Delille, Josey, Mazloff, Newman,
Thompson, Thomson, Ward, Du Plessis et al.</label><mixed-citation>
      
Swart, S., Gille, S. T., Delille, B., Josey, S., Mazloff, M., Newman, L., Thompson, A. F., Thomson, J., Ward, B., Du Plessis, M. D., Kent, E. C., Girton, J., Gregor, L., Heil, P., Hyder, P., Ponzi Pezzi L., Buss de Souza R., Tamsitt, V., Weller, R. A., and Zappa, C. J.:
Constraining Southern Ocean air-sea-ice fluxes through enhanced observations,
Frontiers in Marine Science, 6, 421, <a href="https://doi.org/10.3389/fmars.2019.00421" target="_blank">https://doi.org/10.3389/fmars.2019.00421</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Tanimoto et al.(2003)Tanimoto, Nakamura, Kagimoto, and
Yamane</label><mixed-citation>
      
Tanimoto, Y., Nakamura, H., Kagimoto, T., and Yamane, S.: An active role of
extratropical sea surface temperature anomalies in determining anomalous
turbulent heat flux, J. Geophys. Res.-Oceans, 108, 3304, <a href="https://doi.org/10.1029/2002JC001750" target="_blank">https://doi.org/10.1029/2002JC001750</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Turner et al.(2017)Turner, Orr, Gudmundsson, Jenkins, Bingham,
Hillenbrand, and Bracegirdle</label><mixed-citation>
      
Turner, J., Orr, A., Gudmundsson, G. H., Jenkins, A., Bingham, R. G.,
Hillenbrand, C.-D., and Bracegirdle, T. J.: Atmosphere-ocean-ice interactions
in the Amundsen Sea embayment, West Antarctica, Rev. Geophys., 55,
235–276, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Turner et al.(2022)Turner, Holmes, Caton Harrison, Phillips, Jena,
Reeves-Francois, Fogt, Thomas, and Bajish</label><mixed-citation>
      
Turner, J., Holmes, C., Caton Harrison, T., Phillips, T., Jena, B.,
Reeves-Francois, T., Fogt, R., Thomas, E. R., and Bajish, C.: Record low
Antarctic sea ice cover in February 2022, Geophys. Res. Lett., 49,
e2022GL098904, <a href="https://doi.org/10.1029/2022GL098904" target="_blank">https://doi.org/10.1029/2022GL098904</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Yadav et al.(2022)Yadav, Kumar, and Mohan</label><mixed-citation>
      
Yadav, J., Kumar, A., and Mohan, R.: Atmospheric precursors to the Antarctic
sea ice record low in February 2022, Environ. Res. Commun.,
4, 121005, <a href="https://doi.org/10.1088/2515-7620/aca5f2" target="_blank">https://doi.org/10.1088/2515-7620/aca5f2</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Yang et al.(2016)Yang, Liu, Lohmann, Shi, Hu, and
Chen</label><mixed-citation>
      
Yang, H., Liu, J., Lohmann, G., Shi, X., Hu, Y., and Chen, X.: Ocean-atmosphere
dynamics changes associated with prominent ocean surface turbulent heat
fluxes trends during 1958–2013, Ocean Dynam., 66, 353–365, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Yelland et al.(1998)Yelland, Moat, Taylor, Pascal, Hutchings, and
Cornell</label><mixed-citation>
      
Yelland, M., Moat, B., Taylor, P., Pascal, R., Hutchings, J., and Cornell, V.:
Wind stress measurements from the open ocean corrected for airflow distortion
by the ship, J. Phys. Oceanogr., 28, 1511–1526, 1998.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Yu(2019)</label><mixed-citation>
      
Yu, L.: Global air–sea fluxes of heat, fresh water, and momentum: Energy
budget closure and unanswered questions, Annu. Rev. Mar. Sci., 11,
227–248, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Yu et al.(2023)Yu, He, Leng, Liu, and Lin</label><mixed-citation>
      
Yu, L.-S., He, H., Leng, H., Liu, H., and Lin, P.: Interannual variation of
summer sea surface temperature in the Amundsen Sea, Antarctica, Frontiers in
Marine Science, 10, 1050955, <a href="https://doi.org/10.3389/fmars.2023.1050955" target="_blank">https://doi.org/10.3389/fmars.2023.1050955</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Zhou et al.(2022)Zhou, Heuzé, and Mohrmann</label><mixed-citation>
      
Zhou, L., Heuzé, C., and Mohrmann, M.: Early winter triggering of the Maud
Rise polynya, Geophys. Res. Lett., 49, e2021GL096246, <a href="https://doi.org/10.1029/2021GL096246" target="_blank">https://doi.org/10.1029/2021GL096246</a>, 2022.

    </mixed-citation></ref-html>--></article>
