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  <front>
    <journal-meta><journal-id journal-id-type="publisher">OS</journal-id><journal-title-group>
    <journal-title>Ocean Science</journal-title>
    <abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1812-0792</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/os-20-981-2024</article-id><title-group><article-title>An emerging pathway of Atlantic Water to the Barents Sea through the Svalbard Archipelago: drivers and variability</article-title><alt-title>An emerging pathway of Atlantic Water through the Svalbard Archipelago</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Kalhagen</surname><given-names>Kjersti</given-names></name>
          <email>kjerstik@unis.no</email>
        <ext-link>https://orcid.org/0000-0003-3547-1059</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Skogseth</surname><given-names>Ragnheid</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0210-4981</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Baumann</surname><given-names>Till M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Falck</surname><given-names>Eva</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff1">
          <name><surname>Fer</surname><given-names>Ilker</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2427-2532</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Arctic Geophysics, University Centre in Svalbard, Longyearbyen, Svalbard, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Geophysical Institute, University of Bergen and Bjerknes Centre for Climate Research, Bergen, Norway</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Marine Research, Bergen, Norway</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Kjersti Kalhagen (kjerstik@unis.no)</corresp></author-notes><pub-date><day>13</day><month>August</month><year>2024</year></pub-date>
      
      <volume>20</volume>
      <issue>4</issue>
      <fpage>981</fpage><lpage>1001</lpage>
      <history>
        <date date-type="received"><day>22</day><month>December</month><year>2023</year></date>
           <date date-type="rev-request"><day>10</day><month>January</month><year>2024</year></date>
           <date date-type="rev-recd"><day>5</day><month>June</month><year>2024</year></date>
           <date date-type="accepted"><day>9</day><month>June</month><year>2024</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2024 </copyright-statement>
        <copyright-year>2024</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/.html">This article is available from https://os.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e130">The Barents Sea, an important component of the Arctic Ocean, is experiencing changes in its ocean currents, stratification, sea ice variability, and marine ecosystems. Inflowing Atlantic Water (AW) is a key driver of these changes. As AW predominantly enters the Barents Sea via the Barents Sea Opening, other pathways remain relatively unexplored. Comparisons of summer climatology fields of temperature from the last century with those from 2000–2019 indicate warming in the Storfjordrenna trough  and along two shallow banks, Hopenbanken and Storfjordbanken, within the Svalbard Archipelago. Additionally, they indicate shoaling of AW that extends further into the “channel” between the islands of Edgeøya and Hopen. This region emerges as a pathway enabling AW to enter the northwestern Barents Sea. Moreover, 1-year-long records from a mooring deployed between September 2018 and November 2019 at the saddle of this channel show the flow of Atlantic-origin waters into the Arctic domain of the northwestern Barents Sea. The average current is directed eastwards into the Barents Sea and exhibits significant variability throughout the year. Here, we investigate this variability on timescales ranging from hours to months. Wind forcing mediates currents, water exchange, and heat exchange through the channel by driving geostrophic adjustment to Ekman transport. The main drivers of the warm-water inflow and across-saddle transport of positive temperature anomalies include persistently strong semidiurnal tidal currents, intermittent wind-forced events, and wintertime warm-water intrusions forced by upstream conditions. We propose that similar topographic constraints near AW pathways may become more important in the future. Ongoing warming and shoaling of AW, coupled with changes in large-scale weather patterns, are likely to increase warm-water inflow and heat transport through the processes identified in this study.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Norges Forskningsråd</funding-source>
<award-id>276730</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="d1e142">The shallow Barents Sea (Fig. <xref ref-type="fig" rid="Ch1.F1"/>) plays a crucial role in the Arctic climate system, serving as one of the two main gateways enabling Atlantic Water (AW) to enter the Arctic Ocean <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx78" id="paren.1"><named-content content-type="pre">e.g.</named-content></xref>. Recent “Atlantification” of the Arctic Ocean <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx61" id="paren.2"/>, characterised by ocean warming, weakening stratification, and declining winter sea ice <xref ref-type="bibr" rid="bib1.bibx72" id="paren.3"/>, is partly driven by AW circulating through the Barents Sea <xref ref-type="bibr" rid="bib1.bibx6" id="paren.4"><named-content content-type="pre">e.g.</named-content></xref>. The largest volume of AW enters the Barents Sea through the Barents Sea Opening (BSO; Fig. <xref ref-type="fig" rid="Ch1.F1"/>). In addition, AW can enter the northwestern Barents Sea through the Northern Barents Sea Opening <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx43" id="paren.5"/> via the branch that enters the Arctic Ocean through the Fram Strait and extends north of Svalbard <xref ref-type="bibr" rid="bib1.bibx40" id="paren.6"><named-content content-type="pre">e.g.</named-content></xref>. As AW flows through the Barents Sea, it is modified and transformed due to intense cooling resulting from heat loss to the atmosphere <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx2 bib1.bibx41 bib1.bibx29" id="paren.7"/>;  brine release from sea ice growth <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx29" id="paren.8"><named-content content-type="pre">e.g.</named-content></xref>; mixing with Arctic Water, which is cooler and fresher <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx41" id="paren.9"/>; and mixing with denser, brine-enriched waters <xref ref-type="bibr" rid="bib1.bibx70" id="paren.10"/>. The Barents Sea has been termed a “cooling machine” <xref ref-type="bibr" rid="bib1.bibx78" id="paren.11"/>, where AW is transformed into Barents Sea water. It is an important area of dense-water production <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx49 bib1.bibx70 bib1.bibx3" id="paren.12"/> and a source of intermediate waters for the Arctic Ocean <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx69 bib1.bibx70 bib1.bibx67" id="paren.13"/>.</p>

      <fig id="Ch1.F1"><label>Figure 1</label><caption><p id="d1e200">Bathymetry in the western Barents Sea and the Fram Strait (version 3 of the International Bathymetric Chart of the Arctic Ocean (IBCAO); <xref ref-type="bibr" rid="bib1.bibx30" id="altparen.14"/>) is shown along with general circulation (solid arrows; <xref ref-type="bibr" rid="bib1.bibx88" id="altparen.15"/>, adapted from <xref ref-type="bibr" rid="bib1.bibx14" id="altparen.16"/>). The West Spitsbergen Current (WSC), the East Spitsbergen Current (ESC), and the Barents Sea Opening (BSO) are marked. The black rectangle indicates the area shown in the detailed map in Fig. <xref ref-type="fig" rid="Ch1.F2"/>. The map was prepared using PlotSvalbard <xref ref-type="bibr" rid="bib1.bibx87" id="paren.17"/>, which uses data originating from the Norwegian Polar Institute (© Norsk Polarinstitutt, <uri>https://npolar.no</uri>, last access: 30 July 2024).</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f01.png"/>

      </fig>

      <p id="d1e227">Large-scale environmental changes have been observed in the Barents Sea over the past decades <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx73 bib1.bibx28 bib1.bibx79" id="paren.18"/>. The loss of winter sea ice in the Arctic in recent times has been most pronounced in the Barents Sea <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx65" id="paren.19"/>, which is the first Arctic sea projected to be ice-free throughout the entire year <xref ref-type="bibr" rid="bib1.bibx5" id="paren.20"/>. Increased heat transport through the BSO is an important driver of sea ice loss and warming in the Barents Sea, and it also significantly contributes to its Atlantification <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx6" id="paren.21"/>. Increasing air temperatures also drive sea ice loss. In the northern Barents Sea, surface air temperatures have risen twice as fast as in the Arctic as a whole <xref ref-type="bibr" rid="bib1.bibx28" id="paren.22"/>. Decreased import of sea ice into the northern Barents Sea is another factor in the increased sea ice loss <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx27" id="paren.23"/>, resulting in reduced freshwater input and a weakening of the stratification <xref ref-type="bibr" rid="bib1.bibx41" id="paren.24"/>. The weakening stratification facilitates enhanced vertical mixing and increased heat fluxes, which may further inhibit sea ice formation <xref ref-type="bibr" rid="bib1.bibx41" id="paren.25"/>. Further hydrographic changes in the Barents Sea include increased salinity; a diminishing presence of Arctic Water <xref ref-type="bibr" rid="bib1.bibx41" id="paren.26"/>; changes in the polar front <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx35" id="paren.27"/>, which marks the boundary between waters of Atlantic and Arctic origins; and a poleward shift in the region where the cooling machine is efficient <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx72" id="paren.28"/>.</p>
      <p id="d1e265">The Atlantification of the Barents Sea presents major consequences for the ecosystem <xref ref-type="bibr" rid="bib1.bibx19" id="paren.29"/>, such as increased production, the northward expansion of boreal species, a reduction in ice-associated ecosystem compartments, and increased connectivity within the food web <xref ref-type="bibr" rid="bib1.bibx27" id="paren.30"/>. Net primary production in the Barent Sea has increased substantially over the past 2 decades <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx38" id="paren.31"/>. Boreal zooplankton have expanded northwards <xref ref-type="bibr" rid="bib1.bibx18" id="paren.32"/>, while some Arctic zooplankton species have retreated <xref ref-type="bibr" rid="bib1.bibx13" id="paren.33"/>. The northward expansion of Atlantic zooplankton species is expected to continue, potentially impacting Arctic zooplankton communities <xref ref-type="bibr" rid="bib1.bibx92" id="paren.34"/>. Changes in biomass and distribution have also been observed higher up the food web <xref ref-type="bibr" rid="bib1.bibx19" id="paren.35"><named-content content-type="post">and references therein</named-content></xref>.</p>
      <p id="d1e292">Although the BSO is the main gateway enabling AW to enter the Barents Sea, other inflow regions, such as the Northern Barents Sea Opening, may be important. Furthermore, as the West Spitsbergen Current (WSC) transports AW northwards towards the Fram Strait, some of this AW is directed into the Storfjordrenna trough in the Svalbard Archipelago (Fig. <xref ref-type="fig" rid="Ch1.F2"/>), located north of the BSO and the shallow bank Spitsbergenbanken. In the Storfjordrenna trough, AW flows cyclonically, guided by the topography, with shallow areas situated to its right <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx90" id="paren.36"/>.</p>
      <p id="d1e300">The Storfjordrenna trough experienced a positive sea surface temperature (SST) trend from 1982 to 2020, with the largest SST increase in the Barents Sea occurring between 1995 and 2007 <xref ref-type="bibr" rid="bib1.bibx51" id="paren.37"/>. This increase was due to the greater inflow of AW following shallower isobaths compared to earlier periods. Following a year of record-low sea ice cover, the surface layers in Storfjorden and the Storfjordrenna trough were replaced by warmer and more saline Arctic Water during the summer of 2016 <xref ref-type="bibr" rid="bib1.bibx90" id="paren.38"/>. The summer of 2016 saw the warmest and longest-lasting marine heatwave in the Barents Sea to date <xref ref-type="bibr" rid="bib1.bibx50" id="paren.39"/>.</p>
      <p id="d1e312">Northeast of the Storfjordrenna trough, on the Arctic side of the polar front, lies the Olga Basin (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). Here, the Arctic Water layer is the coldest and thickest compared to other parts of the northern Barents Sea <xref ref-type="bibr" rid="bib1.bibx40" id="paren.40"/>. Arctic Water enters through the gaps and troughs in the northern Barents Sea <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx42" id="paren.41"/> and circulates with the East Spitsbergen Current <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx42" id="paren.42"/>. In addition to Arctic Water, AW enters the Olga Basin at depth through the gateways to the north <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx43" id="paren.43"/> and, to a lesser extent, over the <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m deep saddle separating the Olga Basin from the Hopendjupet trench to the south <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx40" id="paren.44"/> (Fig. <xref ref-type="fig" rid="Ch1.F2"/>).</p>
      <p id="d1e345">The channel between the islands of Edgeøya and Hopen (Fig. <xref ref-type="fig" rid="Ch1.F2"/>) separates the increasingly warm and shoaling AW in the Storfjordrenna trough from the Olga Basin, which is the Arctic domain in the northwestern Barents Sea. Here, we investigate the physical processes that drive and mediate the inflow of Atlantic-origin waters into the Olga Basin. Such warm-water inflow has the potential to reduce sea ice growth, accelerate melt, and alter deep-basin stratification in the Olga Basin. The (increasing) presence of warm Atlantic-origin waters in the Storfjordrenna trough may also impact the properties of the East Spitsbergen Current as it crosses the channel westwards, as well as those of Storfjorden and the coastal environment west of Spitsbergen. We propose that the study site may become an increasingly relevant pathway for warm waters travelling into the Arctic domain of the Barents Sea. Using novel data from a less-explored region, we identify and discuss the variability in currents and heat exchange on timescales ranging from hours to months.</p>

      <fig id="Ch1.F2"><label>Figure 2</label><caption><p id="d1e353">Bathymetry in the mooring area (IBCAO version 4; <xref ref-type="bibr" rid="bib1.bibx31" id="altparen.45"/>). The M4 mooring site (black arrow) is located at the saddle of Hopenbanken between the Storfjordrenna trough and the interior of the northwestern Barents Sea. The saddle is flanked to the north and south by the islands of Edgeøya and Hopen, respectively. Hydrographic stations from 14 November 2019, 16 October 2020, and 13 November 2021, as well as the climatological section in Fig. <xref ref-type="fig" rid="Ch1.F4"/>, are marked (see legend). The dashed red rectangle indicates the area illustrated in Fig. <xref ref-type="fig" rid="Ch1.F3"/>.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f02.jpg"/>

      </fig>

</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>
      <p id="d1e384">In this study, we use a combination of historical hydrographic data, recent hydrographic transects collected during late autumn, and year-long current and hydrography time series from a mooring. The mooring was deployed at 70 m depth on Hopenbanken, a shallow bank, between the Storfjordrenna trough and the interior of the Barents Sea (Fig. <xref ref-type="fig" rid="Ch1.F2"/>).</p>
      <p id="d1e389">The historical data include hydrographic profiles extracted from the University Centre in Svalbard (UNIS) Hydrographic Database (UNIS HD; <xref ref-type="bibr" rid="bib1.bibx75" id="altparen.46"/>), covering the vicinity of the mooring area from 1930–2019.</p>
      <p id="d1e395">Recent hydrographic transects were collected on 14 November 2019 aboard <italic>Kronprins Haakon</italic> <xref ref-type="bibr" rid="bib1.bibx83" id="paren.47"/>, on 16 October 2020 aboard <italic>G. O. Sars</italic> <xref ref-type="bibr" rid="bib1.bibx17" id="paren.48"/>, and on 13 November 2021 aboard <italic>Kronprins Haakon</italic> <xref ref-type="bibr" rid="bib1.bibx64" id="paren.49"/>.</p>
      <p id="d1e417">From 29 September 2018 to 14 November 2019, temperature, salinity, and ocean currents were measured using instruments on the mooring located at 77°16.116<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 24°24.402<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). The mooring was a trawl-proof bottom frame equipped with one conductivity–temperature–depth (CTD) recorder (Sea-Bird MicroCAT SBE 37-SM (unpumped)) and one acoustic Doppler current profiler (ADCP; Nortek Signature250), both housed within the frame with transducers pointing upwards. The MicroCAT instrument recorded temperature, salinity, and pressure near the bottom (at about 68 m) for the entire period at a sampling interval of 15 min. The ADCP profiled current speed and direction through the water column using 25 cells with a thickness of <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at an averaging interval of <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>. All data from the mooring were interpolated onto a common hourly time vector prior to analysis.</p>
      <p id="d1e463">We corrected the velocity direction for a magnetic declination of 15°. The ADCP compass was further validated by comparing the tidal ellipses obtained from the observed current velocity with those from the Arctic Ocean Tidal Inverse Model on a 5 km grid, developed in 2018 (Arc5km2018) <xref ref-type="bibr" rid="bib1.bibx15" id="paren.50"/>. For the M<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> tidal constituent, the ellipse inclinations from Arc5km2018 and the depth-averaged measured current were approximately the same. For the other significant semidiurnal constituents (S<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and K<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), the ellipse properties from the measured currents were in fairly good agreement with Arc5km2018 – i.e. ellipse inclinations agreed within 14°, and semi-major axes agreed within <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Since M<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is the dominant constituent in the study area, no further compass corrections were deemed necessary. We then referenced the current velocity profiles to the surface to account for sea-level variations detected by the ADCP's altimeter.</p>
      <p id="d1e535">We extracted data on wind speed and direction for the region from the ERA5 reanalyses – this included hourly data on single levels with a spatial resolution of 0.25° (<xref ref-type="bibr" rid="bib1.bibx25" id="altparen.51"/>). Additionally, we extracted data on sea surface temperature (SST) and sea ice concentration (SIC) from the Global Ocean OSTIA  Sea Surface Temperature and Sea Ice Reprocessed product, which comprises daily data with a spatial resolution of 0.05° (<xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx21" id="altparen.52"/>).</p>
      <p id="d1e544">All data used in this study are openly available, as detailed in the “Data availability” section.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Data analysis methods</title>
      <p id="d1e555">The historical hydrographic data <xref ref-type="bibr" rid="bib1.bibx75" id="paren.53"/> have been optimally interpolated onto horizontal and vertical climatological sections to compare data from the past 2 decades (2000–2019) to data from the previous century (1930–2000). Due to the temporally and spatially sparse data coverage, only summer (July–October mean) sections were created. A description of gridding and interpolation,  along with details on data coverage and standard deviations for the climatological maps and vertical sections, is given in Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>.</p>
      <p id="d1e563">Temperature and practical salinity from the recent hydrographic transects, the mooring, and the optimally interpolated climatological sections were converted to Conservative Temperature and Absolute Salinity, respectively, following the Thermodynamic Equation of Seawater – 2010 (TEOS-10) <xref ref-type="bibr" rid="bib1.bibx48" id="paren.54"/>. In the following, we use the subscript “b” (for bottom) to refer to temperature <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and salinity <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> near the seafloor. AW is defined as water with Conservative Temperature <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> °C and Absolute Salinity <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">35.06</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx84" id="paren.55"/>. We refer to Atlantic-origin waters as AW that is modified or transformed en route from the WSC through the Storfjordrenna trough into relatively warm and saline water compared to the surrounding water masses; however, it is colder and less saline than pure AW. This inflow of warm water into the Barents Sea affects deep-basin stratification and sea ice growth and melt.</p>
      <p id="d1e635">We identify the timescales of variability using spectral analysis. Cartesian and rotary spectral components were estimated following the multitaper method from <xref ref-type="bibr" rid="bib1.bibx60" id="text.56"/>, with Slepian data tapers applied <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx85" id="paren.57"><named-content content-type="pre">e.g.</named-content></xref>. To analyse the time variability in the spectral components, we used wavelet transforms following <xref ref-type="bibr" rid="bib1.bibx39" id="text.58"/>, employing generalised Morse wavelets <xref ref-type="bibr" rid="bib1.bibx53" id="paren.59"/>. The values for the parameters defining the Morse wavelets were set as <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> for symmetric wavelets and <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> to resolve variability in both frequency and time on timescales ranging from semidiurnal to a few weeks.</p>
      <p id="d1e677">The spectral analysis revealed three frequency bands with dominant variability: semidiurnal tides (periods of 10 to 14 h), “weather-band” processes (28 h to 10 d), and lower-frequency activity (7 d to 6 weeks). To study these fluctuations, we filtered the time series with a Butterworth band-pass filter. We used the highest possible order while ensuring stability for each frequency band – i.e. we employed an order of 5 for semidiurnal tides and weather-band processes and used an order of 3 for lower-frequency activity.</p>
      <p id="d1e681">To describe and visualise the background conditions in hydrography and currents, we used a low-pass Butterworth filter with an order of 6 and a cutoff frequency corresponding to 10 d.</p>
      <p id="d1e684">We analysed the current velocity data from the mooring to study the mean flow properties and flow variability over timescales associated with tidal variability, weather-band processes, and lower-frequency events. For this, we used two different coordinate system rotations. The coordinate system was rotated by <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">42</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> to align with the long-term mean flow along the isobaths. The rotated velocity components are denoted as <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the along-isobath (roughly southeast) and across-isobath (roughly northeast) directions, respectively. To analyse variability at selected timescales, we applied another rotation to the velocity components, denoted as <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. These components were oriented along and across the direction of the highest variance within the frequency bands associated with weather-band processes and lower-frequency activity. This coordinate system was rotated by <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>, orienting <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> roughly towards the east-southeast and <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> towards the north-northeast.</p>
      <p id="d1e788">Eddy temperature fluxes were calculated as <inline-formula><mml:math id="M28" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M29" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>, where <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> denotes fluctuations in near-bottom temperature and <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are the velocity component fluctuations along (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> relative to east) and across (<inline-formula><mml:math id="M35" display="inline"><mml:mn mathvariant="normal">62</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> relative to east) the direction of highest variance in the frequency bands associated with weather-band processes and lower-frequency activity. The fluctuations (denoted by primes) were obtained by applying a band-pass filter to the time series. The velocity data were layer-averaged over the bottom half of the water column. Although the water column was at times stratified in temperature, available CTD profiles suggest that the lower half of the water column was typically well mixed. Therefore, temperature measurements recorded close to the bottom may be considered representative of the lower half of the water column. The overline denotes a 30 d moving average.</p>
      <p id="d1e908">The wind stress vector was calculated as <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>|</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msub><mml:mo>|</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mrow class="unit"><mml:mn mathvariant="normal">1.25</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, representing the density of air; <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, denoting the wind vector with eastward and northward components of wind velocity at 10 m, extracted from ERA5; <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> is the magnitude of the wind velocity; and <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the drag coefficient. We used <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values that depend on sea ice concentration, following <xref ref-type="bibr" rid="bib1.bibx44" id="text.60"/>. Ekman transport was calculated from the wind stress using <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mrow class="unit"><mml:mn mathvariant="normal">1027</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, indicating the reference density of seawater, and <inline-formula><mml:math id="M45" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is the Coriolis parameter.</p>
      <p id="d1e1196">Time series of SST, SIC, wind velocity, and wind stress at the mooring location were obtained by spatially interpolating onto the mooring location from the original grids, i.e. from 0.05<inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> for SST and SIC and from 0.25<inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> for wind velocity and wind stress.</p>

      <fig id="Ch1.F3"><label>Figure 3</label><caption><p id="d1e1218">Climatological maps illustrating depth-averaged Conservative Temperature <inline-formula><mml:math id="M48" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C) with respect to <bold>(a)</bold> 1930–2000, <bold>(b)</bold> 2000–2019, and <bold>(c)</bold> the difference between the two periods (1930–2000 subtracted from 2000–2019). In panels <bold>(a)</bold> and <bold>(b)</bold>, the 0 °C isotherm (blue) and the <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">34.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> isohaline (pale blue) are shown for reference. In panel <bold>(a)</bold>, the vertical section depicted in Fig. <xref ref-type="fig" rid="Ch1.F4"/> is marked with green dots, and the mooring position is indicated by a black diamond. The <inline-formula><mml:math id="M51" display="inline"><mml:mn mathvariant="normal">70</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">200</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> isobaths are outlined with white contours.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f03.jpg"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Long-term changes in the hydrographic environment of the Storfjordrenna trough and Hopenbanken</title>
      <p id="d1e1318">The hydrographic environment in the Storfjordrenna trough and the shallow banks Hopenbanken and Storfjordbanken (Fig. <xref ref-type="fig" rid="Ch1.F2"/>) has experienced warming over the past 2 decades. Summer climatology maps of depth-averaged temperature from 1930–2000 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a) and 2000–2019 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b) indicate warming across most of the area. The observed increase in average temperature exceeds 1 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C over large parts of Hopenbanken and Storfjordbanken (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c). This warming is observed both at the surface and at depth (not shown). The <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">34.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> isohaline extended further northeastwards in 2000–2019 compared to 1930–2000 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a and b).</p>

      <fig id="Ch1.F4"><label>Figure 4</label><caption><p id="d1e1362">Vertical climatological hydrographic sections extending from the Storfjordrenna trough, across the saddle, and into the Olga Basin with respect to <bold>(a)</bold> 1930–2000, <bold>(b)</bold> 2000–2019, and <bold>(c)</bold> the difference between the two periods (1930–2000 subtracted from 2000–2019). <bold>(a, b)</bold> Conservative Temperature <inline-formula><mml:math id="M55" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C) is depicted using various colours, and the 0 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C isotherm is highlighted in blue. The isohalines corresponding to <inline-formula><mml:math id="M58" display="inline"><mml:mn mathvariant="normal">34.4</mml:mn></mml:math></inline-formula>, <inline-formula><mml:math id="M59" display="inline"><mml:mn mathvariant="normal">34.6</mml:mn></mml:math></inline-formula>, <inline-formula><mml:math id="M60" display="inline"><mml:mn mathvariant="normal">34.8</mml:mn></mml:math></inline-formula>, <inline-formula><mml:math id="M61" display="inline"><mml:mn mathvariant="normal">35.0</mml:mn></mml:math></inline-formula>, and <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">35.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> are shown as pale-blue curves. <bold>(c)</bold> The difference in Conservative Temperature <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">Θ</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C) is depicted using various colours. The <inline-formula><mml:math id="M65" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis shows the distance from the mooring position, with positive values indicating the direction towards the Olga Basin. The location of this section is marked with green dots in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f04.png"/>

        </fig>

      <p id="d1e1486">Vertical climatological sections extending from the Storfjordrenna trough, across the saddle on Hopenbanken, and into the Olga Basin (Fig. <xref ref-type="fig" rid="Ch1.F4"/>) show that Atlantic-origin waters have shoaled in the water column and now extend further east towards the saddle. This warming has occurred throughout the water column, and the saddle area has warmed by 1 to 2 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C. Additionally, salinity has increased by <inline-formula><mml:math id="M67" display="inline"><mml:mn mathvariant="normal">0.05</mml:mn></mml:math></inline-formula> to <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">0.35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> over intermediate depths in the Storfjordrenna trough (not shown). We also note that the past 2 decades has seen a deepening of the <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">34.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> isobath and a corresponding decrease in temperature towards the Olga Basin (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b and c).</p>

      <fig id="Ch1.F5"><label>Figure 5</label><caption><p id="d1e1552">Hydrographic transects along the saddle between the Storfjordrenna trough and the Barents Sea from <bold>(a)</bold> 14 November 2019, <bold>(b)</bold> 16 October 2020, and <bold>(c)</bold> 13 November 2021. Conservative Temperature is shown using various colours (contours depicted every 0.2 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C), and Absolute Salinity is depicted using pale-blue contours (every <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The northern part of the saddle (close to Edgeøya) is on the left, and the southern part (towards Hopen) is on the right. The <inline-formula><mml:math id="M72" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis shows the distance to the M4 mooring site, with positive values indicating the direction towards the south.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Late-autumn hydrographic transects indicate large variability</title>
      <p id="d1e1614">Recent hydrographic transects from the saddle region, collected in November 2019, October 2020, and November 2021 (Fig. <xref ref-type="fig" rid="Ch1.F5"/>), show that the mooring is situated in an area with notable thermal and haline gradients. Local maxima in temperature and salinity were observed near the mooring position in late autumn.</p>
      <p id="d1e1619">In November 2019, the transect along the saddle was cold and relatively fresh but retained some heat (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a). The warmest water (<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C) was found by the mooring position in the lower half of the water column. On the northern side of the transect, temperatures were near the freezing point, accompanied by relatively high salinity (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a). At this time, AW was present in the Storfjordrenna trough and close to the mooring (not shown). Specifically, <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">70</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> southwest of the mooring, water temperatures ranging from 2.9 to 3.7 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C and salinity between <inline-formula><mml:math id="M77" display="inline"><mml:mn mathvariant="normal">34.84</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">35.02</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> were found at depth. These temperatures are within the range for pure AW, but the salinities are slightly lower than the threshold of <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">35.06</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx84" id="paren.61"/>. Additionally, relatively warm water (around 0.5 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C) was detected at a depth of <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> to the west of the mooring position.</p>
      <p id="d1e1734">In October 2020, warm and saline water of Atlantic origin occupied the lower half of the water column (Fig. <xref ref-type="fig" rid="Ch1.F5"/>b). The warmest water, with a temperature of 3.3 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C and a salinity of <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">34.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, was located <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> south of the mooring position. Water warmer than <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reached the surface at the mooring position and also between <inline-formula><mml:math id="M86" display="inline"><mml:mn mathvariant="normal">15</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">37</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> south of the mooring position. The coolest and least saline water was found on the northern side of the transect. At a station located <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">60</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> to the northeast, we observed water with a temperature of 1 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C and a salinity of <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">35.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> below <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">150</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (not shown).</p>
      <p id="d1e1860">In November 2021, a maximum temperature of 1 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C was found at (and south of) the mooring position (Fig. <xref ref-type="fig" rid="Ch1.F5"/>c), which was warmer than the maximum temperature in November 2019 (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a). The isohalines were also aligned with the isotherms, with salinities exceeding <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">34.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for water at depth with temperatures <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C on the southern side. The northern side of the transect remained below <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.75</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C, consistent with observations from November 2019.</p>

      <fig id="Ch1.F6" specific-use="star"><label>Figure 6</label><caption><p id="d1e1935">Time series for the mooring deployment period (29 September 2018 to 14 November 2019) illustrating <bold>(a)</bold> wind speed (coloured areas) and wind velocity (where quivers are depicted every 24 h, an upward-pointing vector represents wind blowing northwards, and reference quivers correspond to <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); <bold>(b)</bold> SIC, shown in black (left <inline-formula><mml:math id="M99" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis), and wind stress <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), shown in red (right <inline-formula><mml:math id="M102" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis); <bold>(c)</bold> Conservative Temperature <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> near the seabed (black), SST (<inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; blue), and Absolute Salinity <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> near the seabed (red; right <inline-formula><mml:math id="M106" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis); <bold>(d)</bold> the along-isobath velocity component <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">42</mml:mn></mml:mrow></mml:math></inline-formula>° (directed southeastwards); and <bold>(e)</bold> the across-isobath velocity component <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M110" display="inline"><mml:mn mathvariant="normal">48</mml:mn></mml:math></inline-formula>° (directed northeastwards). Wind velocity, wind stress, mooring temperature and salinity, and current velocity are low-pass-filtered with a cutoff frequency corresponding to 10 d. <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are presented as both unfiltered (thin pale curves) and low-pass-filtered (thick dark curves). SST and SIC are given in terms of daily values. Wind velocity, SST, and SIC were spatially interpolated onto the mooring position.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Seasonal variability in hydrography and current velocity from mooring records</title>
      <p id="d1e2161">Early in the record, both near-bottom temperature, <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and salinity, <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, increased, reaching values approaching those of pure AW properties by the middle of October (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). Near-bottom temperature was higher than SST, and the increase in <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> coincided with a relatively strong and long-lasting surface-intensified current directed southeastwards along the isobath (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="Ch1.F6"/>d). Following the maxima in near-bottom temperature and salinity, the water column gradually cooled until mid-January 2019, when both <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SST nearly reached the freezing point (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). During these months, <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> oscillated between <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on a 2-week timescale, with negligible depth variability over the measured range  (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d). Temperature and salinity co-varied with <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> lagging behind <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by 3.3  and 4.8 d, respectively. Sea ice was first observed across the saddle in late December (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b).</p>
      <p id="d1e2328">From mid-January to mid-June 2019, there was partial sea ice cover across the saddle (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b). Additionally, <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SST were generally at or close to the freezing point (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased, probably as a result of brine release from sea ice formation, reaching its highest value (<inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">35.12</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) by the end of March, and then gradually decreased (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). During this time, the current was more unidirectional than during autumn – i.e. <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was generally positive (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d) and typically varied between <inline-formula><mml:math id="M130" display="inline"><mml:mn mathvariant="normal">5</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, occasionally exceeding <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2440">Although the saddle was covered in ice and the water was generally near the freezing point during winter and spring, there were several episodes when <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SST increased. These increases coincided with a reduction in SIC and an enhancement of <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b–d). The first and largest increase in <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SST occurred in early February 2019, following a sharp reduction in SIC at the end of January. During this period, sea ice cover that had built up over 2 weeks due to northerly winds disappeared within 2 d. The wind shifted to a southerly direction, and <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values became positive shortly before the sea ice disappeared from the saddle (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a and d). The surface-intensified <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased in strength during and after the sea ice disappearance, reaching a maximum of <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">26</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> close to the surface (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d). <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SST increased to 0.9 and 0.4 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C, respectively, shortly thereafter and remained above the freezing point for more than a month (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). During this time, the wind direction turned and stayed northerly, and partial sea ice cover was re-established across the saddle (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a and b). <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SST, however, remained above the freezing point and reached smaller maxima, while <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> further increased in strength, reaching <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">34</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at the beginning of March (the highest value measured during the whole sampling period; Fig. <xref ref-type="fig" rid="Ch1.F6"/>c and d).</p>
      <p id="d1e2593">SIC started to decrease in June, and the area was ice-free from mid-July (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b). Most of the reduction in sea ice cover occurred during two pulses of increased <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the second half of June, which were followed by two pulses of increased <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SST (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d, c). After the sea ice cover had disappeared, <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> became weaker, less unidirectional, and occasionally more variable in depth (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d). From July to August, the water column steadily warmed. From September until the end of the measurement period in mid-November 2019, SST decreased towards the freezing point, while <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was generally higher than SST. <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> generally co-varied with <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> during this autumn and decreased overall (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). By late October 2019, some sea ice had already drifted across the saddle, and SST reached the freezing point, while <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> remained above the freezing point until the mooring was recovered in mid-November (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b and c). Compared to the previous autumn, in the autumn of 2019, the near-bottom waters were both colder and less saline, and sea ice formed earlier.</p>

      <fig id="Ch1.F7" specific-use="star"><label>Figure 7</label><caption><p id="d1e2688"><bold>(a)</bold> Time series for the mooring deployment period (29 September 2018 to 14 November 2019) illustrating the depth-averaged velocity component along <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (green; left <inline-formula><mml:math id="M154" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis), and along <inline-formula><mml:math id="M155" display="inline"><mml:mn mathvariant="normal">62</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (pink; right <inline-formula><mml:math id="M158" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis). The component is presented as measured (thin pale curves), low-pass-filtered over 28 h (thicker darker curves), and low-pass-filtered over 10 d (thickest darkest curves). <bold>(b, c)</bold> Wavelet transforms of <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively, shown on a logarithmic scale. Period corresponds to the inverse cyclic frequency, given in cycles per hour (cph). <bold>(d)</bold> Time series illustrating near-bottom temperature <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with the same filtering as in panel <bold>(a)</bold>. <bold>(e)</bold> Wavelet transform of <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> on a linear scale. <bold>(f)</bold> Rotary spectra (anticyclonic: thick curves;  cyclonic: thin curves) of the depth-averaged current velocity for winter (October to March, blue and green curves) and summer (April to September; dashed red and yellow curves). The white curves in panels <bold>(b)</bold>, <bold>(c)</bold>, and <bold>(e)</bold> indicate areas affected by edge effects. The cutoff frequencies for the semidiurnal tidal band (dotted lines) and the weather band (dashed lines) are shown as horizontal lines in panels <bold>(b)</bold>, <bold>(c)</bold>, and <bold>(e)</bold> and as vertical lines in panel <bold>(f)</bold>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f07.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Mesoscale and tidal variability</title>
      <p id="d1e2857">A wavelet analysis of the current components <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (along <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M166" display="inline"><mml:mn mathvariant="normal">62</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>, respectively) reveals a year-round dominance of semidiurnal tidal currents with a clear spring–neap cycle (Fig. <xref ref-type="fig" rid="Ch1.F7"/>a–c). The semidiurnal tidal current was anticyclonic (Fig. <xref ref-type="fig" rid="Ch1.F7"/>f), with variance oriented along <inline-formula><mml:math id="M168" display="inline"><mml:mn mathvariant="normal">25</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>, i.e. nearly east-northeast (Sect. <xref ref-type="sec" rid="Ch1.S3.SS6"/>). When the near-bottom temperature <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was above the freezing point, its semidiurnal variability typically ranged from 0.2 to 0.6 <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C, occasionally reaching 0.8 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C.</p>
      <p id="d1e2955">Weather-band variability (28 h to 10 d) was considerable, particularly during the autumn months (November 2018 to January 2019) (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b, c, and e), with the principal axis oriented along the WNW–ESE direction, approximately aligning with the topography, Sect. <xref ref-type="sec" rid="Ch1.S3.SS6"/>). <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies were typically within <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C, but they doubled from November–December 2018 and from October–November 2019. At the beginning (October 2018) and towards the end of the record (October–November 2019), <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exhibited elevated variance at the 10 d timescale; however, the edge effects of the wavelet analysis were significant (Fig. <xref ref-type="fig" rid="Ch1.F7"/>e).</p>
      <p id="d1e3005">The anticyclonic velocity component was generally more energetic than its cyclonic counterpart (Fig. <xref ref-type="fig" rid="Ch1.F7"/>f). The semidiurnal current exhibited almost 10 times more variance in the anticyclonic component, and the diurnal band showed almost all of its variance in the anticyclonic component. At lower frequencies, the currents were anticyclonic and elliptically polarised throughout the entire year (Fig. <xref ref-type="fig" rid="Ch1.F7"/>f), with the exception of winter, when the currents became nearly linearly polarised during periods of 2 weeks or more (not shown).</p>

      <fig id="Ch1.F8" specific-use="star"><label>Figure 8</label><caption><p id="d1e3015"><bold>(a)</bold> Ekman transport, <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), along <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> versus depth-averaged weather-band (28 h–10 d) current speed anomalies along <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Colours indicate the <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> composites: dark blue represents values below the 10th percentile, corresponding to strong north-northeasterly winds; light blue represents values between the 10th and 90th percentiles, corresponding to weak north-northeasterly winds; and orange represents values above the 90th percentile, corresponding to modest south-southwesterly winds. The small pale dots represent hourly values, while the larger dots represent daily averages. The current is lagged by 7 h relative to the wind before calculating <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and averaging it over time. The error bars show the mean and standard deviations of the daily averages within each composite. Maps illustrating composite averages of <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (coloured areas), wind stress (white quivers), the mean current (<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; pink quivers), and current anomalies (<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>; green quivers) for Ekman transport <bold>(b)</bold> below its 10th percentile, <bold>(c)</bold> between its 10th and 90th percentiles, and <bold>(d)</bold> above its 90th percentile. Reference quivers for wind stress (<inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the current (<inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) are shown in panels <bold>(b)</bold> and <bold>(d)</bold>, respectively.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Impact of wind forcing on the across-saddle current</title>
      <p id="d1e3249">The strength and direction of the overflow current are influenced by large-scale winds (Fig. <xref ref-type="fig" rid="Ch1.F8"/>). Regression analysis shows that depth-averaged current anomalies along <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> in the frequency band ranging from 28 h to 10 d (<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) depend on Ekman transport along the same axis. Geostrophic adjustment to Ekman transport during north-northeasterly winds typically opposes the east-southeastward current across the saddle (Fig. <xref ref-type="fig" rid="Ch1.F8"/>c) and, in cases of anomalously strong winds, even reverses it (Fig. <xref ref-type="fig" rid="Ch1.F8"/>b). Conversely, weaker and/or southerly winds tend to enhance the eastward flow into the Barents Sea (Fig. <xref ref-type="fig" rid="Ch1.F8"/>d).</p>
      <p id="d1e3292">Anomalously strong north-northeasterly winds, which result in Ekman transport values below the 10th percentile (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.84</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for daily averages), are associated with the strongest current reversal events (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for daily averages, with the current flowing towards the WNW along the topography) (Fig. <xref ref-type="fig" rid="Ch1.F8"/>b). The mean current velocity in this case is <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">3.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, oriented towards the west-southwest, with a large spread.</p>
      <p id="d1e3412">On the other hand, winds with a southerly component, which result in Ekman transport values above the 90th percentile (<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for daily averages), are associated with the strongest east-southeastward currents (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for daily averages) (Fig. <xref ref-type="fig" rid="Ch1.F8"/>d). This suggests that winds with a southerly component accelerate the normal east-southeastward current through geostrophic adjustment to the Ekman transport set-up. The average mean current in this case flows at <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">14.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> towards the east-southeast.</p>

      <fig id="Ch1.F9" specific-use="star"><label>Figure 9</label><caption><p id="d1e3531"><bold>(a–c)</bold> Temperature anomalies (colours) averaged in bins of current velocity anomalies and examined with respect to the semidiurnal tidal band <bold>(a, d)</bold>, weather band (28 h to 10 d; <bold>b</bold>, <bold>e</bold>), and lower-frequency band (7 d to 6 weeks; <bold>c</bold>, <bold>f</bold>). The velocity anomalies are layer-averaged over the bottom half of the water column, with their variance ellipses overlaid. <bold>(d–f)</bold> Time series illustrating eddy temperature flux along  (<inline-formula><mml:math id="M204" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> (<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>); solid curves) and across (<inline-formula><mml:math id="M207" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> (<inline-formula><mml:math id="M208" display="inline"><mml:mn mathvariant="normal">62</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>); dashed curves) the principal axis of the weather band and variability in the lower-frequency band, which are shown in panels <bold>(b)</bold> and <bold>(c)</bold>. The rotated coordinate system is indicated with dashed lines in the left column. Temporal averaging is performed using a 30 d running mean.  Note that the <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ranges for the semidiurnal band are twice as high as those for the other bands. In panel <bold>(e)</bold>, the times of peaks chosen for ensemble averaging are marked with red triangles pointing right for positive temperature anomalies and along-isobath current anomalies and with blue triangles pointing left for negative anomalies.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Eastward transport of positive temperature anomalies</title>
      <p id="d1e3678">Variability in near-bottom temperature occurs in the same frequency bands as current variability (Fig. <xref ref-type="fig" rid="Ch1.F7"/>). We separated the contributions from tides, weather-band processes, and lower-frequency mesoscale activity by applying a band-pass filter to the time series of temperature and current velocity (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>). By analysing temperature anomalies <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the velocity anomaly space <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>u</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, we found that positive temperature anomalies were generally located in the southeastern sector of the velocity anomalies, while negative temperature anomalies were found in the northwestern sector, resulting in net heat transport directed southeastwards across the saddle in the identified bands of variability (Fig. <xref ref-type="fig" rid="Ch1.F9"/>a–c). For the weather and mesoscale-activity frequency bands (Fig. <xref ref-type="fig" rid="Ch1.F9"/>b and c, respectively), the largest temperature anomalies were aligned with the principal axis of variability (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>). In the semidiurnal (Fig. <xref ref-type="fig" rid="Ch1.F9"/>a) and diurnal tidal bands (not shown), however, the largest temperature anomalies were nearly perpendicular to the axis of maximum variance (major axes of the ellipses).</p>
      <p id="d1e3743">The eddy temperature flux <inline-formula><mml:math id="M216" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> along the principal axis (<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>; solid curves in Fig. <xref ref-type="fig" rid="Ch1.F9"/>d–f) was generally positive throughout the year, with values typically between <inline-formula><mml:math id="M219" display="inline"><mml:mn mathvariant="normal">1</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The largest semidiurnal tidal contribution occurred from October to December in both years, with values around <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">K</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> directed towards the southeast. Comparable fluxes were also observed between February and July when warm, saline water intermittently appeared near the saddle. In the weather band, the flux was large from November 2018 to January 2019, with values ranging from <inline-formula><mml:math id="M222" display="inline"><mml:mn mathvariant="normal">1</mml:mn></mml:math></inline-formula> to <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">K</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and again during the autumn of 2019, reaching <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> by the end of the measurement period (Fig. <xref ref-type="fig" rid="Ch1.F9"/>e). Between mid-January and August 2019, the flux was negligible. Lower-frequency oscillations on timescales between 1 and 6 weeks exhibited sporadic episodes of large positive eddy temperature fluxes during autumn and winter, reaching <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in October 2019, but experienced reversals to negative values during January and February 2019 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>f).</p>

      <fig id="Ch1.F10"><label>Figure 10</label><caption><p id="d1e3925">Ensemble-averaged time series illustrating events with strong positive eddy temperature flux <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:msubsup><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> (red) along the direction of highest variance (<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>) in the weather band (28 h to 10 d). The time series show the cases where peaks <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> (i.e. positive temperature anomalies are carried ESE by the current anomaly along the isobath <bold>(a, c)</bold>) and where peaks <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> (i.e. negative temperature anomalies are carried WNW by the current anomaly along the isobath <bold>(b, d)</bold>). The ensemble time series include <bold>(a, b)</bold> <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:msubsup><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> (red) and the Ekman transport component along <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> (blue), as well as <bold>(c, d)</bold> current anomalies <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> (red) and temperature anomalies <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> (blue). The current anomalies are bin-averaged over the bottom half of the water column. The time axes (days) are centred on the peak of the eddy temperature flux. The standard error (<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mi mathvariant="normal">SE</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SD</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msqrt><mml:mi>n</mml:mi></mml:msqrt></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M238" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the number of ensembles) is indicated by shading.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f10.png"/>

        </fig>

      <p id="d1e4171">To further investigate the driving force behind the eddy temperature flux across the saddle in the weather band, we analysed ensembles of events with high fluxes. In total 20 events with peaks <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and 24 events with peaks <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> were detected, both resulting in positive eddy temperature fluxes. Most of these events occurred during October, November, and December (red and blue triangles in Fig. <xref ref-type="fig" rid="Ch1.F9"/>e), when there was no sea ice in the area. The 4 d time series, centred on the selected times for each event, were extracted. The ensemble-averaged records are denoted using angle brackets, e.g. <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F10"/>).</p>
      <p id="d1e4253">The ensemble of events that satisfy the first condition is associated with southerly wind stress, resulting in an Ekman transport component that forces a positive current anomaly carrying positive temperature anomalies towards the east-southeast (Fig. <xref ref-type="fig" rid="Ch1.F10"/>a and c). The peak eddy temperature flux of <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mn mathvariant="normal">8.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">K</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> tends to occur 1 d after the maximum along-isobath Ekman transport. The temperature anomaly turns positive approximately half a day after the current anomaly, and their peaks are 6 h apart.</p>
      <p id="d1e4289">The second case (Fig. <xref ref-type="fig" rid="Ch1.F10"/>b and d; events marked by blue triangles in Fig. <xref ref-type="fig" rid="Ch1.F9"/>e) corresponds to events where the wind from the north-northeast increases in strength, enhancing Ekman transport opposing the current. This results in a negative current anomaly that caries negative temperature anomalies towards the west-northwest. The peak of the eddy temperature flux reaches <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> approximately 1 d after the along-isobath Ekman transport component has reached its largest negative value. The temperature anomaly turns negative 6 h after the current anomaly, and their peaks are 2 h apart.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Interannual versus seasonal variability – was 2018–2019 a typical year?</title>
      <p id="d1e4343">Several findings from the time series at the mooring position (Fig. <xref ref-type="fig" rid="Ch1.F6"/>) and the late-autumn hydrographic transects at the saddle (Fig. <xref ref-type="fig" rid="Ch1.F5"/>) warrant a discussion about the seasonal and interannual variability in the area and whether 2018–2019 was a typical year.</p>
      <p id="d1e4350">The autumns of 2018 and 2019 differed in terms of hydrography and the onset of the sea ice period. During the autumn of 2018, the water column above the saddle remained warm and free of ice and was only partially covered with ice from December. In contrast, in the autumn of 2019, sea ice drifted to the saddle in late October, and the water cooled to near the freezing point in November. This suggests that the position of the ice cover in the Barents Sea during autumn affects the hydrographic conditions at the saddle at this time of the year. According to <xref ref-type="bibr" rid="bib1.bibx34" id="text.62"/>, the marginal ice zone had retreated beyond the shelf break and into the Nansen Basin by August 2018, while in August 2019, large parts of the northwestern Barents Sea shelf remained covered by sea ice, resulting in lower temperatures and a fresher surface layer. These differences in large-scale conditions at the end of the melting seasons in 2018 and 2019 must also have affected the subsequent winter conditions at our mooring site. During the same autumns, observations from the Northern Barents Sea Opening showed a large difference in upper-ocean salinity, accompanied by a similar difference in sea ice <xref ref-type="bibr" rid="bib1.bibx43" id="paren.63"/>. Heightened upper-ocean freshening due to increased sea ice melt can create conditions in the area that are conducive to sea ice growth in the following winter <xref ref-type="bibr" rid="bib1.bibx41" id="paren.64"/>.</p>
      <p id="d1e4362">Superposed on the seasonal cycle were several episodes of warm-water intrusions that affected sea ice cover at the saddle (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b and c). The inflow of Atlantic-origin waters and heat transport across the saddle is important for the onset and duration of typical winter conditions. Strong current velocities directed across the saddle into the Barents Sea (<inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) generally preceded the local temperature maxima associated with the warm-water intrusions (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c and d). Sea ice covered the mooring site from mid-January 2019, i.e. before the water column had completely cooled to the freezing point (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b and c). Nonetheless, favourable wind and ice conditions, along with geostrophic adjustment to the wind-driven Ekman transport from Edgeøya to Hopen, resulted in depth-averaged currents reaching <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">23</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which drove warmer waters from the Storfjordrenna trough to the saddle. A similar response to wind forcing, resulting in deep warm-water overflow, has also been observed on the sill in the inner part of Hornsund in Svalbard <xref ref-type="bibr" rid="bib1.bibx1" id="paren.65"/>.</p>
      <p id="d1e4406">However, not all warm-water inflow events can be explained by local wind effects. The event with a strong across-saddle current of <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">30</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and a small increase in temperature, which occurred from mid-February to March, was likely caused by upstream conditions. Accelerating the WSC and the branch entering the Storfjordrenna trough can force the current to follow shallower isobaths to conserve potential vorticity <xref ref-type="bibr" rid="bib1.bibx52" id="paren.66"/>. The small increase in temperature during this period was most likely due to the mixing of warm water en route to the saddle. When the current subsided in early March, the temperature at the saddle returned to the freezing point, and the sea ice concentration increased to <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">90</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. Similarly, events during April involving weaker current pulses transporting cooler waters can be attributed to forcing resulting from the upstream conditions.</p>

      <fig id="Ch1.F11"><label>Figure 11</label><caption><p id="d1e4446">Sea ice concentration (black; left <inline-formula><mml:math id="M248" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) and sea surface temperature (red; right <inline-formula><mml:math id="M249" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) at the mooring location from <bold>(a)</bold> September 2018 to September 2019, <bold>(b)</bold> September 2019 to September 2020, <bold>(c)</bold> September 2020 to September 2021, and <bold>(d)</bold> September 2021 to September 2022. Dashed lines indicate the times of <bold>(a)</bold> mooring deployment, <bold>(b)</bold> mooring recovery and the hydrographic transect in November 2019, <bold>(c)</bold> the hydrographic transect in October 2020, and <bold>(d)</bold> the hydrographic transect in November 2021. Sea ice concentration and sea surface temperature are taken from the OSTIA product (<xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx21" id="altparen.67"/>).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f11.png"/>

        </fig>

      <p id="d1e4497">Northeasterly winds and relatively strong westward-current reversals in the weeks preceding the November 2019 transect (Figs. <xref ref-type="fig" rid="Ch1.F5"/>a and <xref ref-type="fig" rid="Ch1.F6"/>a, d, and e) likely transported sea ice and cooled the surface waters above the saddle to the freezing point. Large-scale sea ice cover was more extensive in November 2019 than in November 2021. In 2019, the sea ice edge (characterised by <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> sea ice concentration)  extended past Hopen, almost reaching the southern tip of Spitsbergen, while in 2021, it only extended south to Edgeøya and did not cover the Olga Basin (not shown). The higher maximum temperature and the alignment of the isohalines and isotherms in the transect from November 2021 (Fig. <xref ref-type="fig" rid="Ch1.F5"/>c) suggest an autumn inflow of Atlantic-origin waters and incomplete cooling of the water column. The SST in the region was substantially higher in 2021 than in 2019, with the largest difference of 3 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C in the Storfjordrenna trough (not shown) and a difference of 1 to 2 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C  at the mooring position. This meant that the onset of freezing was delayed by 1 month in 2021 relative to 2019 (Fig. <xref ref-type="fig" rid="Ch1.F11"/>b and d).</p>
      <p id="d1e4536">The November transects (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a and c) were both cooler and less saline than the October transect (Fig. <xref ref-type="fig" rid="Ch1.F5"/>b). This may be due to a regular seasonal shift from AW influence to Arctic Water influence at the site and/or interannual variability in the region. During the autumn of 2020, SST steadily decreased before rapidly increasing to 1.4 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C in the week leading up to the transect in mid-October (Fig. <xref ref-type="fig" rid="Ch1.F11"/>c). It then decreased to 0 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C before increasing to 2.6 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>C in mid-November. Hence, the autumn of 2020 experienced warmer and longer-lasting overflows of Atlantic-origin waters across the saddle and a delayed onset of sea ice compared to other years. AW inflow from north of Svalbard has also been shown to affect seasonal variability in local hydrography in the same way <xref ref-type="bibr" rid="bib1.bibx43" id="paren.68"/>.</p>
      <p id="d1e4573">The autumn of 2018 was similar to the autumn of 2020 in terms of SST evolution at the mooring position (Fig. <xref ref-type="fig" rid="Ch1.F11"/>a and c). Warm-water inflow from the Storfjordrenna trough kept SST high at the saddle during November 2018 and November 2020, delaying the onset of sea ice in the subsequent winters.</p>
      <p id="d1e4578">In the context of long-term changes in SST and SIC at the study site, the period from the autumn of 2018 to the autumn of 2019 (mooring year) was an average year compared to the past 2 decades (not shown), and the difference between 2018 and 2019 was not remarkably large. From 2005, interannual variability in SST and SIC at the mooring site has been substantially higher than during the previous 25 years, indicating even larger year-to-year changes than those observed between 2018 and 2019 could be expected.</p>
      <p id="d1e4581">To summarise, strong interannual variability substantially impacts the seasonal cycle at the study site. Sea ice in the Barents Sea exhibits a high degree of interannual variability <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx55" id="paren.69"><named-content content-type="pre">e.g.</named-content></xref> driven by atmospheric temperature, sea surface temperature, and oceanic heat transport <xref ref-type="bibr" rid="bib1.bibx12" id="paren.70"/>. Locally, intrusions of warm water during autumn can delay the onset of winter conditions, inhibit local sea ice growth, or melt imported sea ice, as observed in the autumns of 2018 and 2020 (Figs. <xref ref-type="fig" rid="Ch1.F6"/>b–c, <xref ref-type="fig" rid="Ch1.F5"/>b, and 11a and c). These intrusions, whether driven by local winds or upstream conditions, also frequently reduce the existing partial ice cover above the saddle during winter and spring (Fig. <xref ref-type="fig" rid="Ch1.F11"/>; earlier years are not shown). This explains the differences in hydrographic conditions observed in November 2019 versus 2021 (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a and c). The more persistent warm-water overflow in 2020 likely delayed the seasonal water mass transformation and contributed to the October 2020 transect being substantially warmer than the November transects.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Drivers of the mean exchange between the Storfjordrenna trough and the Barents Sea</title>
      <p id="d1e4609">The observed background current (low-pass-filtered over 10 d) tends to flow towards the southeast (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). This current direction is counteracted by geostrophic adjustment to Ekman transport induced by the large-scale wind pattern from the northeast. The strength and direction of the current are affected by the wind stress, and, in periods with strong winds, the current either reverses to a northwestward flow or is amplified in its normal southeastward direction (Fig. <xref ref-type="fig" rid="Ch1.F8"/>). Hence, local wind is not the main driver of the background current across the saddle.</p>
      <p id="d1e4616">The forcing of the slowly varying current is more complex. We found a low and insignificant correlation between spatial differences in sea level and mooring current velocity by analysing the absolute dynamic topography and the associated geostrophic currents (not shown). This means either that the local sea-level slope is not the main driver of the current or that the data coverage and quality of the measurements of the absolute dynamic topography are insufficient for showing a clear relationship. The quality of these measurements may be reduced as a result of seasonal ice coverage and the timing of satellite passages, and the quality of the product north of the Arctic circle has not been thoroughly tested <xref ref-type="bibr" rid="bib1.bibx58" id="paren.71"/>.</p>
      <p id="d1e4622">On the other hand, the current across the saddle may be dependent on the strength of the upstream current in the Storfjordrenna trough and along the slope west of Spitsbergenbanken (Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>). Upstream, along the Norwegian coast, low-pressure systems accelerate the Norwegian Atlantic Current by driving onshore Ekman transport and set-up along the coast <xref ref-type="bibr" rid="bib1.bibx9" id="paren.72"/>. However, it is unclear whether low-pressure systems would accelerate the WSC along the relatively shorter western Spitsbergen coastline <xref ref-type="bibr" rid="bib1.bibx9" id="paren.73"/>. Additionally, high variability in the tracks of low-pressure systems passing Svalbard <xref ref-type="bibr" rid="bib1.bibx91" id="paren.74"/> makes the influence of local wind west of the Storfjordrenna trough and Svalbard highly variable. Current peaks at the mooring site are occasionally related to a strong WSC, which can be quantified using the slope of the absolute dynamic topography between Spitsbergenbanken and the Storfjordrenna trough (not shown), contributing to the current strength in a barotropic manner. Similar to the response of the WSC on the West Spitsbergen Shelf to anomalous wind stress curl <xref ref-type="bibr" rid="bib1.bibx52" id="paren.75"/>, the branch of the WSC flowing through the Storfjordrenna trough can be shifted to shallower isobaths. However, a more detailed analysis is needed to fully understand the effects of upstream forcing.</p>
      <p id="d1e4639">Another possible driver of the observed mean current is the tidal residual flow on Spitsbergenbanken. In shallow areas with strong tidal currents and non-linear bottom friction, residual currents may influence the circulation pattern <xref ref-type="bibr" rid="bib1.bibx24" id="paren.76"/>. Tidally generated residual currents around Bjørnøya have been documented in buoy data <xref ref-type="bibr" rid="bib1.bibx89" id="paren.77"/>, laboratory experiments, and observations from drifters <xref ref-type="bibr" rid="bib1.bibx47" id="paren.78"/>. Several numerical model studies have shown that tidal rectification occurs in the region <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx20 bib1.bibx37" id="paren.79"/>. Higher-resolution models which better resolve non-linear terms have reported strong anticyclonic residual tidal currents around Bjørnøya, on Spitsbergenbanken (reaching <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and around Hopen <xref ref-type="bibr" rid="bib1.bibx36" id="paren.80"/>. Simulations have reproduced the anticyclonic drift of buoys around Hopen, which is driven by strong tidal currents resulting from the interaction between the semidiurnal tide and the island of Hopen <xref ref-type="bibr" rid="bib1.bibx45" id="paren.81"/>.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Variability in tidal, weather, and low-frequency bands and its impact on eastward heat transport into the Olga Basin</title>
      <p id="d1e4689">Both semidiurnal and diurnal tidal currents contribute to heat transport across the saddle on Hopenbanken, with the semidiurnal contribution being significantly larger. The semi-major axis of the semidiurnal currents is oriented along <inline-formula><mml:math id="M257" display="inline"><mml:mn mathvariant="normal">20</mml:mn></mml:math></inline-formula>°, i.e. roughly east-northeast, which is approximately perpendicular to the eddy temperature flux in the semidiurnal band (Fig. <xref ref-type="fig" rid="Ch1.F9"/>). For all frequency bands, the direction of the eddy temperature flux is mainly oriented towards the southeastern sector. This is likely due to the position of the temperature gradient at the saddle and the way the current anomalies are guided by the topography.</p>
      <p id="d1e4701">Oscillations on timescales between 1 and 6 weeks result in sporadic moderate eddy temperature fluxes in the southeastern sector, comparable in magnitude to those in the semidiurnal band but more variable in direction. The largest contribution towards the east-southeast occurred during the autumn of 2019 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>f), when the wavelet transform of <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b), and especially that of <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F7"/>e), exhibited power in the low-frequency area, indicating that the varying current resulted in even larger temperature variations. These concurrent fluctuations led to a considerable eddy temperature flux during this period. We hypothesise that the large eddy temperature flux during this autumn may have been caused by AW upstream of the saddle being transported across shallower isobaths, possibly due to regional Ekman pumping or an acceleration of the upstream current system, which resulted in higher temperatures on one side of the front at the saddle. Locally, at the mooring site, this was observed as low-frequency oscillations with particularly pronounced temperature variations, leading to a large eddy temperature flux into the Barents Sea.</p>
      <p id="d1e4732">Integrated over the measurement period, the weather-band eddy temperature flux was approximately twice that of the low-frequency and semidiurnal bands, which had comparable magnitudes. During the period of relatively high sea ice coverage (from February to July), the semidiurnal tide transported twice as much heat across the saddle as the weather band and 1.5 times as much as the band associated with mesoscale activity.</p>
      <p id="d1e4735">The eddy temperature fluxes calculated in Sect. <xref ref-type="sec" rid="Ch1.S3.SS6"/> contain divergent and rotational components. Only the divergent component plays a part in the actual transport of heat across the saddle <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx22" id="paren.82"/>. Using our data set, we cannot separate the contributions of the divergent and rotational eddy temperature fluxes; hence, the values must be considered an upper bound.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Consequences of long-term changes in the hydrographic environment of the Storfjordrenna trough for heat transport into the Barents Sea</title>
      <p id="d1e4751">In recent years, the presence of AW in the Storfjordrenna trough upstream of the study site has increased. The Storfjordrenna trough is one of the areas in the Barents Sea that has experienced the highest increase in sea surface temperature over the past 2 decades <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx51" id="paren.83"/>. The climatology in the Storfjordrenna trough (Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>) also shows that the water column has become warmer since 2000 compared to previous years (Fig. <xref ref-type="fig" rid="Ch1.F3"/>) and that Atlantic-origin waters have shoaled and now reach further east towards the saddle during summer (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). Shoaling has also been observed in the Eurasian Arctic <xref ref-type="bibr" rid="bib1.bibx61" id="paren.84"/> as well as along the coast and in the fjords of western Spitsbergen  <xref ref-type="bibr" rid="bib1.bibx86 bib1.bibx76 bib1.bibx80" id="paren.85"/>. Additionally, AW advected into the fjords of western Spitsbergen has warmed in the past 2 decades <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx59 bib1.bibx86 bib1.bibx76" id="paren.86"/>. At the mooring site, the years following 2005–2006 saw, on average, higher mean annual SSTs and fewer days of sea ice coverage compared to the years between 1981–1982 and 2004–2005 (not shown), which may be due to increased AW inflows into the Barents Sea after 2006 compared to the Fram Strait <xref ref-type="bibr" rid="bib1.bibx62" id="paren.87"/>. The warmest year in this period was 2015–2016, which saw abnormally high mean SSTs over the saddle, only 106 d with any sea ice, and no SIC value above <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">80</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. This was also the year when the Storfjordrenna trough, along with the Barents Sea in general <xref ref-type="bibr" rid="bib1.bibx51" id="paren.88"/>, experienced record-low sea ice cover, a warm saline surface layer <xref ref-type="bibr" rid="bib1.bibx90" id="paren.89"/>, and an exceptionally warm and long-lasting marine heatwave <xref ref-type="bibr" rid="bib1.bibx50" id="paren.90"/>.</p>
      <p id="d1e4797">As AW circulates over shallower isobaths, the physical processes in the channel between the Storfjordrenna trough and the Olga Basin may more easily transport heat eastwards in the future. Anomalous wind stress curl may affect the circulation depth of AW in the Storfjordrenna trough, potentially causing AW or Atlantic-origin waters to move closer to the saddle between the Storfjordrenna trough and the Olga Basin  (Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>).</p>
      <p id="d1e4802">Several factors determine the fate of warm waters crossing the saddle. The circulation pattern in the channel and downstream influences whether Atlantic-origin waters are transported towards the Arctic or the Atlantic side of the polar front, which follows the <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">200</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> isobath separating the Olga Basin from Hopendjupet (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). Although the time-averaged flow observed by the mooring was directed towards the southeast, with most non-tidal variability contributing to heat exchange along the west-northwest–east-southeast axis (Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>, <xref ref-type="sec" rid="Ch1.S3.SS5"/>, and <xref ref-type="sec" rid="Ch1.S3.SS6"/>), the region's complex bathymetry and limitations in our observations prevent a definitive conclusion regarding the specific path of AW and the proportion of heat contributing to the heat budget on the northern side of the polar front. Nonetheless, AW transport through the channel between the Storfjordrenna trough and the Olga Basin has the potential to impact the Olga Basin, which still experiences a seasonal ice cover and maintains a thick cold layer of Arctic Water <xref ref-type="bibr" rid="bib1.bibx40" id="paren.91"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d1e4830">Given the possibility that Atlantic-origin waters from the Storfjordrenna trough may be transported to the Arctic side of the polar front east of Hopenbanken, the density stratification within the Olga Basin becomes an important factor in determining the impact of this transport on local conditions. Denser waters on the eastern side would cause Atlantic-origin waters to penetrate at shallower depths, impacting the winter and spring sea ice cover and generally depositing more heat into the upper part of the water column, which could influence sea ice growth in the subsequent season. Conversely, less dense waters on the eastern side might lead to the subduction of overflow waters. If pure AW, or water with properties more similar to those of AW than those observed in this study, flows over the saddle, its density may exceed that of local water in the Olga Basin (e.g. Arctic Water and East Spitsbergen Water) and thus contribute to deeper stratification. We observed a deepening of the <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">34.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> isobath and a small decrease in temperature in parts of the Olga Basin (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b and c) over the past 2 decades.  However, due to the particularly sparse data coverage in the Olga Basin, we are cautious about interpreting these changes.</p>
      <p id="d1e4856">Atlantic-origin waters reaching the saddle between the Storfjordrenna trough and the Barents Sea will affect the properties of the East Spitsbergen Current as it flows into Storfjorden. An increase in AW mixed into the East Spitsbergen Current across the saddle will have repercussions for the coastal current in Storfjorden and along the west coast of Spitsbergen, as well as for the exchange between the shelf and the fjords. It will also affect dense-water production in Storfjorden and subsequent deep-water export to the Fram Strait, as the initial salinity of the source water sets the conditions for the density of the overflow <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx74 bib1.bibx90" id="paren.92"/>.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e4872">We have used available historical hydrographic profiles to study changes in the hydrographic environment of the Storfjordrenna trough, the surrounding shallow banks, and the Olga Basin (north of the polar front) over the past 2 decades, comparing this period to 1930–2000. In addition, we analysed recent late-autumn hydrographic transects and a year-long time series of near-bottom hydrography and water column current velocity across the saddle that separates the Storfjordrenna trough from the Olga Basin, situated between the islands of Edgeøya and Hopen.</p>
      <p id="d1e4875">The mooring observations show that AW and Atlantic-origin waters in the Storfjordrenna trough can cross the saddle and enter the Arctic domain of the northwestern Barents Sea. The across-saddle current is mediated by wind forcing. Southerly winds over the saddle cause stronger currents to flow into the Barents Sea and are associated with events demonstrating strong eddy temperature fluxes. The pronounced semidiurnal tidal currents over the saddle also contribute to heat transport into the Barents Sea, accounting for about half of the wind-driven flux. The area is characterised by large seasonal and interannual variability in hydrography and sea ice cover as well as frequent intrusions of warm water from the Storfjordrenna trough. Both local wind stress and upstream conditions can drive these intrusions, and they are important for determining the onset and duration of typical winter conditions in the area.</p>
      <p id="d1e4878">The past 2 decades has experienced higher temperatures and an increased influence of AW in the Atlantic sector of the northwestern Barents Sea. This increase in heat in the Atlantic sector, combined with potential shoaling of AW and ongoing changes in large-scale wind patterns, indicates that the channel separating the Storfjordrenna trough from the Barents Sea may emerge as an important pathway enabling AW and heat to enter the Arctic sector of the Barents Sea in the future. The complex interplay of local and non-local processes that drive the large variability in AW inflow on seasonal to interannual timescales highlights the need for more comprehensive data collection and analysis in this area.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Methodology for the climatological hydrography maps and sections</title>
      <p id="d1e4892">The historical hydrographic data were optimally interpolated onto horizontal and vertical climatological sections to compare the past 2 decades with earlier decades. The interpolation was conducted using the kriging algorithm from Surfer 12 (Golden Software) through the MATLAB function “surfergriddata.m”. This method employed point kriging with no drift, utilising a linear variogram model with unit slope and anisotropy. The spatial resolution of the bin averages prior to kriging is described in Sect. 4.2 and 4.3 of <xref ref-type="bibr" rid="bib1.bibx76" id="text.93"/>. Due to the temporally and spatially sparse data coverage, only summer (July–October mean) sections could be created. For the period 1930–2000, bins with data from fewer than 3 years were retained without data to ensure an unbiased representation. For the period 2000–2019, this minimum threshold was lowered to 1 year to ensure sufficient data for producing the kriging-interpolated sections. Data coverage and standard deviations for the horizontal climatological sections are shown in Figs. <xref ref-type="fig" rid="App1.Ch1.S1.F13"/> and <xref ref-type="fig" rid="App1.Ch1.S1.F12"/>, while those for the vertical climatological sections are shown in Figs. <xref ref-type="fig" rid="App1.Ch1.S1.F15"/> and <xref ref-type="fig" rid="App1.Ch1.S1.F14"/>.</p>
      <p id="d1e4906">Vertical climatological sections corresponding to summertime (July–October) temperature and salinity over the periods 1930–2000 and 2000–2019 were constructed from hydrographic profiles within a <inline-formula><mml:math id="M263" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15° perpendicular distance from a section extending from the Storfjordrenna trough, across the saddle, and into the Olga Basin. This section comprises the bin centres shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a. The bin sizes in the along-section direction were half the distance between two neighbouring bin centres. At the endpoints of the sections, profiles within <inline-formula><mml:math id="M264" display="inline"><mml:mn mathvariant="normal">0.3</mml:mn></mml:math></inline-formula>° west (east) of the western (eastern) bin centre were included in the bin average. Each profile was weighted based on its distance to the bin centre to produce weighted bin-averaged sections with a <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> vertical resolution. The weighted bin-averaged sections were then interpolated onto a <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">500</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (horizontal) <inline-formula><mml:math id="M267" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (vertical) grid resolution using kriging interpolation.</p>
      <p id="d1e4966">Similarly, weighted bin-averaged horizontal distributions of depth-averaged temperature and salinity over the entire water column were estimated using a <inline-formula><mml:math id="M269" display="inline"><mml:mn mathvariant="normal">0.5</mml:mn></mml:math></inline-formula>° (longitude) <inline-formula><mml:math id="M270" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M271" display="inline"><mml:mn mathvariant="normal">0.2</mml:mn></mml:math></inline-formula>° (latitude) grid resolution for the region between 76–78° N and 20–28<inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> E. Here, each profile was weighted according to its distance from its corresponding bin centre. The weighted bin-averaged horizontal sections for depth-averaged temperature and salinity were then interpolated onto a grid with double the resolution using the kriging interpolation method described above. Land points were excluded from both grids.</p><fig id="App1.Ch1.S1.F12"><label>Figure A1</label><caption><p id="d1e5001">Standard deviations of <bold>(a, b)</bold> potential temperature <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) and <bold>(c, d)</bold> practical salinity <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for the periods <bold>(a, c)</bold> 1930–2000 and <bold>(b, d)</bold> 2000–2019 with respect to the depth-averaged horizontal climatological hydrographic maps (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). The <inline-formula><mml:math id="M276" display="inline"><mml:mn mathvariant="normal">70</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">200</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> isobaths are indicated by white contours. The mooring location is indicated by a pink diamond.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f12.png"/>

      </fig>

      <fig id="App1.Ch1.S1.F13"><label>Figure A2</label><caption><p id="d1e5081">Data coverage corresponding to <bold>(a, b)</bold> the percentage of years with at least one profile and <bold>(c, d)</bold> the number of profiles for <bold>(a, c)</bold> 1930–2000 and <bold>(b, d)</bold> 2000–2019 with respect to the depth-averaged horizontal climatological hydrographic maps (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). The <inline-formula><mml:math id="M278" display="inline"><mml:mn mathvariant="normal">70</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mn mathvariant="normal">200</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> isobaths are indicated by white contours. The mooring location is indicated by a pink diamond.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f13.png"/>

      </fig>

      <fig id="App1.Ch1.S1.F14"><label>Figure A3</label><caption><p id="d1e5125">Same as Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F12"/> but with regard to the vertical climatological hydrographic transects (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). The <inline-formula><mml:math id="M280" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis shows the distance to the mooring position, with positive values indicating the direction towards the Olga Basin. The location of the section is indicated by green dots in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f14.png"/>

      </fig>

      <fig id="App1.Ch1.S1.F15"><label>Figure A4</label><caption><p id="d1e5149">Same as Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F13"/> but with regard to the vertical climatological hydrographic transects (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). The <inline-formula><mml:math id="M281" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis shows the distance to the mooring position, with positive values indicating the direction towards the Olga Basin. The location of the section is indicated by green dots in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/20/981/2024/os-20-981-2024-f15.png"/>

      </fig>


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

      <p id="d1e5177">The mooring data <xref ref-type="bibr" rid="bib1.bibx32" id="paren.94"/> can be retrieved from <ext-link xlink:href="https://doi.org/10.21335/NMDC-1780886855" ext-link-type="DOI">10.21335/NMDC-1780886855</ext-link>. The hydrographic data <xref ref-type="bibr" rid="bib1.bibx75" id="paren.95"/> used for the climatological sections can be retrieved from <ext-link xlink:href="https://doi.org/10.21334/unis-hydrography" ext-link-type="DOI">10.21334/unis-hydrography</ext-link>. The hydrographic data from the 2019 cruise <xref ref-type="bibr" rid="bib1.bibx81" id="paren.96"/>, 2020 cruise <xref ref-type="bibr" rid="bib1.bibx16" id="paren.97"/>, and 2021 cruise <xref ref-type="bibr" rid="bib1.bibx82" id="paren.98"/>  are available at <ext-link xlink:href="https://doi.org/10.21335/NMDC-2135074338" ext-link-type="DOI">10.21335/NMDC-2135074338</ext-link>, <ext-link xlink:href="https://doi.org/10.21335/NMDC-2047975397" ext-link-type="DOI">10.21335/NMDC-2047975397</ext-link>, and <ext-link xlink:href="https://doi.org/10.21335/NMDC-499497542" ext-link-type="DOI">10.21335/NMDC-499497542</ext-link>, respectively. The ERA5 reanalyses <xref ref-type="bibr" rid="bib1.bibx25" id="paren.99"/> are available at <ext-link xlink:href="https://doi.org/10.24381/cds.adbb2d47" ext-link-type="DOI">10.24381/cds.adbb2d47</ext-link> <xref ref-type="bibr" rid="bib1.bibx26" id="paren.100"/>. The Global Ocean OSTIA Sea Surface Temperature and Sea Ice Reprocessed product <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx21" id="paren.101"/> is available at <ext-link xlink:href="https://doi.org/10.48670/moi-00168" ext-link-type="DOI">10.48670/moi-00168</ext-link>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5230">RS designed the study. KK and IF processed the mooring current velocity data. KK processed the mooring hydrographic data and the recent autumn and winter hydrographic data. RS compiled the historical hydrographic data and created the climatological sections. KK analysed the data, prepared the figures, and drafted the paper. RS wrote the text in the Appendix. All authors contributed to discussing the material, providing input, and giving feedback on the analysis and the paper throughout several stages.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5236">At least one of the (co-)authors is a member of the editorial board of <italic>Ocean Science</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e5245">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="d1e5251">The authors are grateful for the cooperation of the crew and the scientific and technical colleagues aboard the research vessels <italic>Kronprins Haakon</italic> and <italic>G. O. Sars</italic>. We thank colleagues who read the paper, discussed the material, and provided feedback on the study. We appreciate the constructive feedback from the two anonymous referees. Their recommendations were valuable in revising our paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5262">This research has been supported by the Research Council of Norway (grant no. 276730).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5268">This paper was edited by Rob Hall and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Arntsen et al.(2019)Arntsen, Sundfjord, Skogseth, Błaszczyk, and Promińska</label><mixed-citation>Arntsen, M., Sundfjord, A., Skogseth, R., Błaszczyk, M., and Promińska, A.: Inflow of Warm Water to the Inner Hornsund Fjord, Svalbard: Exchange Mechanisms and Influence on Local Sea Ice Cover and Glacier Front Melting, J. Geophys. Res.-Oceans, 124, 1915–1931, <ext-link xlink:href="https://doi.org/10.1029/2018JC014315" ext-link-type="DOI">10.1029/2018JC014315</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Årthun and Schrum(2010)</label><mixed-citation>Årthun, M. and Schrum, C.: Ocean Surface Heat Flux Variability in the Barents Sea, J. Marine Syst., 83, 88–98, <ext-link xlink:href="https://doi.org/10.1016/j.jmarsys.2010.07.003" ext-link-type="DOI">10.1016/j.jmarsys.2010.07.003</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Årthun et al.(2011)Årthun, Ingvaldsen, Smedsrud, and Schrum</label><mixed-citation>Årthun, M., Ingvaldsen, R. B., Smedsrud, L. H., and Schrum, C.: Dense Water Formation and Circulation in the Barents Sea, Deep-Sea Res. Pt. I, 58, 801–817, <ext-link xlink:href="https://doi.org/10.1016/j.dsr.2011.06.001" ext-link-type="DOI">10.1016/j.dsr.2011.06.001</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Årthun et al.(2012)Årthun, Eldevik, Smedsrud, Skagseth, and Ingvaldsen</label><mixed-citation>Årthun, M., Eldevik, T., Smedsrud, L. H., Skagseth, Ø., and Ingvaldsen, R. B.: Quantifying the Influence of Atlantic Heat on Barents Sea Ice Variability and Retreat, J. Climate, 25, 4736–4743, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-11-00466.1" ext-link-type="DOI">10.1175/JCLI-D-11-00466.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Årthun et al.(2021)Årthun, Onarheim, Dörr, and Eldevik</label><mixed-citation>Årthun, M., Onarheim, I. H., Dörr, J., and Eldevik, T.: The Seasonal and Regional Transition to an Ice-Free Arctic, Geophys. Res. Lett., 48, e2020GL090825, <ext-link xlink:href="https://doi.org/10.1029/2020GL090825" ext-link-type="DOI">10.1029/2020GL090825</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Asbjørnsen et al.(2020)Asbjørnsen, Årthun, Skagseth, and Eldevik</label><mixed-citation>Asbjørnsen, H., Årthun, M., Skagseth, Ø., and Eldevik, T.: Mechanisms Underlying Recent Arctic Atlantification, Geophys. Res. Lett., 47, e2020GL088036, <ext-link xlink:href="https://doi.org/10.1029/2020GL088036" ext-link-type="DOI">10.1029/2020GL088036</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Barton et al.(2018)Barton, Lenn, and Lique</label><mixed-citation>Barton, B. I., Lenn, Y.-D., and Lique, C.: Observed Atlantification of the Barents Sea Causes the Polar Front to Limit the Expansion of Winter Sea Ice, J. Phys. Oceanogr., 48, 1849–1866, <ext-link xlink:href="https://doi.org/10.1175/jpo-d-18-0003.1" ext-link-type="DOI">10.1175/jpo-d-18-0003.1</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Bloshkina et al.(2021)Bloshkina, Pavlov, and Filchuk</label><mixed-citation>Bloshkina, E. V., Pavlov, A. K., and Filchuk, K.: Warming of Atlantic Water in Three West Spitsbergen Fjords: Recent Patterns and Century-Long Trends, Polar Res., 40,  5392, <ext-link xlink:href="https://doi.org/10.33265/polar.v40.5392" ext-link-type="DOI">10.33265/polar.v40.5392</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Brown et al.(2023)Brown, Mauritzen, Li, Madonna, Isachsen, and LaCasce</label><mixed-citation>Brown, N. J., Mauritzen, C., Li, C., Madonna, E., Isachsen, P. E., and LaCasce, J. H.: Rapid Response of the Norwegian Atlantic Slope Current to Wind Forcing, J. Phys. Oceanogr., 53, 389–408, <ext-link xlink:href="https://doi.org/10.1175/JPO-D-22-0014.1" ext-link-type="DOI">10.1175/JPO-D-22-0014.1</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Dalpadado et al.(2020)Dalpadado, Arrigo, van Dijken, Skjoldal, Bagøien, Dolgov, Prokopchuk, and Sperfeld</label><mixed-citation>Dalpadado, P., Arrigo, K. R., van Dijken, G. L., Skjoldal, H. R., Bagøien, E., Dolgov, A. V., Prokopchuk, I. P., and Sperfeld, E.: Climate Effects on Temporal and Spatial Dynamics of Phytoplankton and Zooplankton in the Barents Sea, Prog. Oceanogr., 185, 102320, <ext-link xlink:href="https://doi.org/10.1016/j.pocean.2020.102320" ext-link-type="DOI">10.1016/j.pocean.2020.102320</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Dickson et al.(1970)Dickson, Midttun, and Mukhin</label><mixed-citation>Dickson, R. R., Midttun, L. S., and Mukhin, A. I.: The hydrographic conditions in the Barents Sea in August–September 1965–1968, in: International 0-Group Fish Survey in the Barents Sea, edited by: Dragesund, O., ICES Cooperative Research Reports (CRR) Ser. A, 18, 3–24, International Council for the Exploration of the Sea, <ext-link xlink:href="https://doi.org/10.17895/ices.pub.8051" ext-link-type="DOI">10.17895/ices.pub.8051</ext-link>, 1970.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Dörr et al.(2024)Dörr, Årthun, Docquier, Li, and Eldevik</label><mixed-citation>Dörr, J., Årthun, M., Docquier, D., Li, C., and Eldevik, T.: Causal Links Between Sea-Ice Variability in the Barents-Kara Seas and Oceanic and Atmospheric Drivers, Geophys. Res. Lett., 51, e2024GL108195, <ext-link xlink:href="https://doi.org/10.1029/2024GL108195" ext-link-type="DOI">10.1029/2024GL108195</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Eriksen et al.(2017)Eriksen, Skjoldal, Gjøsæter, and Primicerio</label><mixed-citation>Eriksen, E., Skjoldal, H. R., Gjøsæter, H., and Primicerio, R.: Spatial and Temporal Changes in the Barents Sea Pelagic Compartment during the Recent Warming, Prog. Oceanogr., 151, 206–226, <ext-link xlink:href="https://doi.org/10.1016/j.pocean.2016.12.009" ext-link-type="DOI">10.1016/j.pocean.2016.12.009</ext-link>, 2017. </mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Eriksen et al.(2018)Eriksen, Gjøsæter, Prozorkevich, Shamray, Dolgov, Skern-Mauritzen, Stiansen, Kovalev, and Sunnanå</label><mixed-citation>Eriksen, E., Gjøsæter, H., Prozorkevich, D., Shamray, E., Dolgov, A., Skern-Mauritzen, M., Stiansen, J. E., Kovalev, Y., and Sunnanå, K.: From Single Species Surveys towards Monitoring of the Barents Sea Ecosystem, Prog. Oceanogr., 166, 4–14, <ext-link xlink:href="https://doi.org/10.1016/j.pocean.2017.09.007" ext-link-type="DOI">10.1016/j.pocean.2017.09.007</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Erofeeva and Egbert(2020)</label><mixed-citation>Erofeeva, S. and Egbert, G.: Arc5km2018: Arctic Ocean Inverse Tide Model on a 5 Kilometer Grid, 2018, Arctic Data Center [data set], <ext-link xlink:href="https://doi.org/10.18739/A21R6N14K" ext-link-type="DOI">10.18739/A21R6N14K</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Fer(2020)</label><mixed-citation>Fer, I.: Physical Oceanography Data from the Cruise KB 2018616 with R.V. Kristine Bonnevie,  Norwegian Marine Data Centre [data set], <ext-link xlink:href="https://doi.org/10.21335/NMDC-2047975397" ext-link-type="DOI">10.21335/NMDC-2047975397</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Fer et al.(2021)Fer, Skogseth, Astad, Baumann, Elliott, Falck, Gawinski, and Kolås</label><mixed-citation>Fer, I., Skogseth, R., Astad, S. S., Baumann, T., Elliott, F., Falck, E., Gawinski, C., and Kolås, E. H.: SS-MSC2 Process Cruise/Mooring Service 2020: Cruise Report, The Nansen Legacy Report Series, <ext-link xlink:href="https://doi.org/10.7557/nlrs.5798" ext-link-type="DOI">10.7557/nlrs.5798</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Geoffroy et al.(2018)Geoffroy, Berge, Majaneva, Johnsen, Langbehn, Cottier, Mogstad, Zolich, and Last</label><mixed-citation>Geoffroy, M., Berge, J., Majaneva, S., Johnsen, G., Langbehn, T. J., Cottier, F., Mogstad, A. A., Zolich, A., and Last, K.: Increased Occurrence of the Jellyfish Periphylla Periphylla in the European High Arctic, Polar Biol., 41, 2615–2619, <ext-link xlink:href="https://doi.org/10.1007/s00300-018-2368-4" ext-link-type="DOI">10.1007/s00300-018-2368-4</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Gerland et al.(2023)Gerland, Ingvaldsen, Reigstad, Sundfjord, Bogstad, Chierici, Hop, Renaud, Smedsrud, Stige, Årthun, Berge, Bluhm, Borgå, Bratbak, Divine, Eldevik, Eriksen, Fer, Fransson, Gradinger, Granskog, Haug, Husum, Johnsen, Jonassen, Jørgensen, Kristiansen, Larsen, Lien, Lind, Lindstrøm, Mauritzen, Melsom, Mernild, Müller, Nilsen, Primicerio, Søreide, van der Meeren, and Wassmann</label><mixed-citation>Gerland, S., Ingvaldsen, R. B., Reigstad, M., Sundfjord, A., Bogstad, B., Chierici, M., Hop, H., Renaud, P. E., Smedsrud, L. H., Stige, L. C., Årthun, M., Berge, J., Bluhm, B. A., Borgå, K., Bratbak, G., Divine, D. V., Eldevik, T., Eriksen, E., Fer, I., Fransson, A., Gradinger, R., Granskog, M. A., Haug, T., Husum, K., Johnsen, G., Jonassen, M. O., Jørgensen, L. L., Kristiansen, S., Larsen, A., Lien, V. S., Lind, S., Lindstrøm, U., Mauritzen, C., Melsom, A., Mernild, S. H., Müller, M., Nilsen, F., Primicerio, R., Søreide, J. E., van der Meeren, G. I., and Wassmann, P.: Still Arctic?–The Changing Barents Sea, Elementa: Science of the Anthropocene, 11, 00088, <ext-link xlink:href="https://doi.org/10.1525/elementa.2022.00088" ext-link-type="DOI">10.1525/elementa.2022.00088</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Gjevik et al.(1994)Gjevik, Nøst, and Straume</label><mixed-citation>Gjevik, B., Nøst, E., and Straume, T.: Model Simulations of the Tides in the Barents Sea, J. Geophys. Res., 99, 3337, <ext-link xlink:href="https://doi.org/10.1029/93JC02743" ext-link-type="DOI">10.1029/93JC02743</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Good et al.(2020)Good, Fiedler, Mao, Martin, Maycock, Reid, Roberts-Jones, Searle, Waters, While, and Worsfold</label><mixed-citation>Good, S., Fiedler, E., Mao, C., Martin, M. J., Maycock, A., Reid, R., Roberts-Jones, J., Searle, T., Waters, J., While, J., and Worsfold, M.: The Current Configuration of the OSTIA System for Operational Production of Foundation Sea Surface Temperature and Ice Concentration Analyses, Remote Sens., 12, 720, <ext-link xlink:href="https://doi.org/10.3390/rs12040720" ext-link-type="DOI">10.3390/rs12040720</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Guo et al.(2014)Guo, Ilicak, Fer, Darelius, and Bentsen</label><mixed-citation>Guo, C., Ilicak, M., Fer, I., Darelius, E., and Bentsen, M.: Baroclinic Instability of the Faroe Bank Channel Overflow, Journal of Physical Oceanography, 44, 2698–2717, <ext-link xlink:href="https://doi.org/10.1175/JPO-D-14-0080.1" ext-link-type="DOI">10.1175/JPO-D-14-0080.1</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Häkkinen and Cavalieri(1989)</label><mixed-citation>Häkkinen, S. and Cavalieri, D. J.: A Study of Oceanic Surface Heat Fluxes in the Greenland, Norwegian, and Barents Seas, J. Geophys. Res.-Oceans, 94, 6145–6157, <ext-link xlink:href="https://doi.org/10.1029/JC094iC05p06145" ext-link-type="DOI">10.1029/JC094iC05p06145</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Harms(1992)</label><mixed-citation>Harms, I. H.: A Numerical Study of the Barotropic Circulation in the Barents and Kara Seas, Cont. Shelf Res., 12, 1043–1058, <ext-link xlink:href="https://doi.org/10.1016/0278-4343(92)90015-C" ext-link-type="DOI">10.1016/0278-4343(92)90015-C</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Hersbach et al.(2020)Hersbach, Bell, Berrisford, Hirahara, Horányi, Muñoz-Sabater, Nicolas, Peubey, Radu, Schepers, Simmons, Soci, Abdalla, Abellan, Balsamo, Bechtold, Biavati, Bidlot, Bonavita, De Chiara, Dahlgren, Dee, Diamantakis, Dragani, Flemming, Forbes, Fuentes, Geer, Haimberger, Healy, Hogan, Hólm, Janisková, Keeley, Laloyaux, Lopez, Lupu, Radnoti, de Rosnay, Rozum, Vamborg, Villaume, and Thépaut</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.-N.: The ERA5 Global Reanalysis, Q. J. Roy. Meteor. Soc., 146, 1999–2049, <ext-link xlink:href="https://doi.org/10.1002/qj.3803" ext-link-type="DOI">10.1002/qj.3803</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Hersbach et al.(2023)</label><mixed-citation>Hersbach, H., Bell, B., Berrisford, P., Biavati, G., Horányi, A., Muñoz Sabater, J., Nicolas, J., Peubey, C., Radu, R., Rozum, I., Schepers, D., Simmons, A., Soci, C., Dee, D., and Thépaut, J.-N.: 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.bibx27"><label>Ingvaldsen et al.(2021)Ingvaldsen, Assmann, Primicerio, Fossheim, Polyakov, and Dolgov</label><mixed-citation>Ingvaldsen, R. B., Assmann, K. M., Primicerio, R., Fossheim, M., Polyakov, I. V., and Dolgov, A. V.: Physical Manifestations and Ecological Implications of Arctic Atlantification, Nat. Rev. Earth  Environ., 2, 874–889, <ext-link xlink:href="https://doi.org/10.1038/s43017-021-00228-x" ext-link-type="DOI">10.1038/s43017-021-00228-x</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Isaksen et al.(2022)Isaksen, Nordli, Ivanov, Køltzow, Aaboe, Gjelten, Mezghani, Eastwood, Førland, Benestad, Hanssen-Bauer, Brækkan, Sviashchennikov, Demin, Revina, and Karandasheva</label><mixed-citation>Isaksen, K., Nordli, Ø., Ivanov, B., Køltzow, M. A. Ø., Aaboe, S., Gjelten, H. M., Mezghani, A., Eastwood, S., Førland, E., Benestad, R. E., Hanssen-Bauer, I., Brækkan, R., Sviashchennikov, P., Demin, V., Revina, A., and Karandasheva, T.: Exceptional Warming over the Barents Area, Sci. Rep., 12, 9371, <ext-link xlink:href="https://doi.org/10.1038/s41598-022-13568-5" ext-link-type="DOI">10.1038/s41598-022-13568-5</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Ivanov et al.(2020)Ivanov, Frolov, and Filchuk</label><mixed-citation>Ivanov, V. V., Frolov, I. E., and Filchuk, K. V.: Transformation of Atlantic Water in the North-Eastern Barents Sea in Winter, Arctic and Antarctic Research, 66, 246–266, <ext-link xlink:href="https://doi.org/10.30758/0555-2648-2020-66-3-246-266" ext-link-type="DOI">10.30758/0555-2648-2020-66-3-246-266</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Jakobsson et al.(2012)Jakobsson, Mayer, Coakley, Dowdeswell, Forbes, Fridman, Hodnesdal, Noormets, Pedersen, Rebesco, Schenke, Zarayskaya, Accettella, Armstrong, Anderson, Bienhoff, Camerlenghi, Church, Edwards, Gardner, Hall, Hell, Hestvik, Kristoffersen, Marcussen, Mohammad, Mosher, Nghiem, Pedrosa, Travaglini, and Weatherall</label><mixed-citation>Jakobsson, M., Mayer, L., Coakley, B., Dowdeswell, J. A., Forbes, S., Fridman, B., Hodnesdal, H., Noormets, R., Pedersen, R., Rebesco, M., Schenke, H. W., Zarayskaya, Y., Accettella, D., Armstrong, A., Anderson, R. M., Bienhoff, P., Camerlenghi, A., Church, I., Edwards, M., Gardner, J. V., Hall, J. K., Hell, B., Hestvik, O., Kristoffersen, Y., Marcussen, C., Mohammad, R., Mosher, D., Nghiem, S. V., Pedrosa, M. T., Travaglini, P. G., and Weatherall, P.: The International Bathymetric Chart of the Arctic Ocean (IBCAO) Version 3.0, Geophys. Res. Lett., 39, L12609, <ext-link xlink:href="https://doi.org/10.1029/2012GL052219" ext-link-type="DOI">10.1029/2012GL052219</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Jakobsson et al.(2020)Jakobsson, Mayer, Bringensparr, Castro, Mohammad, Johnson, Ketter, Accettella, Amblas, An, Arndt, Canals, Casamor, Chauché, Coakley, Danielson, Demarte, Dickson, Dorschel, Dowdeswell, Dreutter, Fremand, Gallant, Hall, Hehemann, Hodnesdal, Hong, Ivaldi, Kane, Klaucke, Krawczyk, Kristoffersen, Kuipers, Millan, Masetti, Morlighem, Noormets, Prescott, Rebesco, Rignot, Semiletov, Tate, Travaglini, Velicogna, Weatherall, Weinrebe, Willis, Wood, Zarayskaya, Zhang, Zimmermann, and Zinglersen</label><mixed-citation>Jakobsson, M., Mayer, L. A., Bringensparr, C., Castro, C. F., Mohammad, R., Johnson, P., Ketter, T., Accettella, D., Amblas, D., An, L., Arndt, J. E., Canals, M., Casamor, J. L., Chauché, N., Coakley, B., Danielson, S., Demarte, M., Dickson, M. L., Dorschel, B., Dowdeswell, J. A., Dreutter, S., Fremand, A. C., Gallant, D., Hall, J. K., Hehemann, L., Hodnesdal, H., Hong, J., Ivaldi, R., Kane, E., Klaucke, I., Krawczyk, D. W., Kristoffersen, Y., Kuipers, B. R., Millan, R., Masetti, G., Morlighem, M., Noormets, R., Prescott, M. M., Rebesco, M., Rignot, E., Semiletov, I., Tate, A. J., Travaglini, P., Velicogna, I., Weatherall, P., Weinrebe, W., Willis, J. K., Wood, M., Zarayskaya, Y., Zhang, T., Zimmermann, M., and Zinglersen, K. B.: The International Bathymetric Chart of the Arctic Ocean Version 4.0, Sci. Data, 7, 1–14, <ext-link xlink:href="https://doi.org/10.1038/s41597-020-0520-9" ext-link-type="DOI">10.1038/s41597-020-0520-9</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Kalhagen et al.(2024)Kalhagen, Fer, Skogseth, Nilsen, and Czyz</label><mixed-citation>Kalhagen, K., Fer, I., Skogseth, R., Nilsen, F., and Czyz, C.: Physical Oceanography Data from a Mooring on Spitsbergenbanken in the North-Western Barents Sea, September 2018 – November 2019, Norwegian Marine Data Centre [data set], <ext-link xlink:href="https://doi.org/10.21335/NMDC-1780886855" ext-link-type="DOI">10.21335/NMDC-1780886855</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Knipowitsch(1905)</label><mixed-citation> Knipowitsch, N.: Hydrologische Untersuchungen Im Europäischen Eismeer, Annalen der Hydrographie und Maritimen Meteorologie, 33, 241–260, 1905.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Kohlbach et al.(2023)Kohlbach, Goraguer, Bodur, Müller, Amargant Arumí, Blix, Bratbak, Chierici, Dąbrowska, Dietrich, Edvardsen, García, Gradinger, Hop, Jones, Lundesgaard, Olsen, Reigstad, Saubrekka, and Assmy</label><mixed-citation>Kohlbach, D., Goraguer, L., Bodur, Y., Müller, O., Amargant Arumí, M., Blix, K., Bratbak, G., Chierici, M., Dąbrowska, A., Dietrich, U., Edvardsen, B., García, L., Gradinger, R., Hop, H., Jones, E., Lundesgaard, Ø., Olsen, L., Reigstad, M., Saubrekka, K., and Assmy, P.: Earlier Sea-Ice Melt Extends the Oligotrophic Summer Period in the Barents Sea with Low Algal Biomass and Associated Low Vertical Flux, Prog. Oceanogr., 213, 103018, <ext-link xlink:href="https://doi.org/10.1016/j.pocean.2023.103018" ext-link-type="DOI">10.1016/j.pocean.2023.103018</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Kolås et al.(2023)Kolås, Baumann, Skogseth, Koenig, and Fer</label><mixed-citation>Kolås, E. H., Baumann, T. M., Skogseth, R., Koenig, Z., and Fer, I.: Western Barents Sea Circulation and Hydrography, Past  Present, <ext-link xlink:href="https://doi.org/10.22541/essoar.169203078.81082540/v1" ext-link-type="DOI">10.22541/essoar.169203078.81082540/v1</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Kowalik and Marchenko(2023)</label><mixed-citation>Kowalik, Z. and Marchenko, A.: Tidal Motion Enhancement on Spitsbergen Bank, Barents Sea, J. Geophys. Res.-Oceans, 128, e2022JC018539, <ext-link xlink:href="https://doi.org/10.1029/2022JC018539" ext-link-type="DOI">10.1029/2022JC018539</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Kowalik and Proshutinsky(1995)</label><mixed-citation>Kowalik, Z. and Proshutinsky, A. Y.: Topographic Enhancement of Tidal Motion in the Western Barents Sea, J. Geophys. Res.-Oceans, 100, 2613–2637, <ext-link xlink:href="https://doi.org/10.1029/94JC02838" ext-link-type="DOI">10.1029/94JC02838</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Lewis et al.(2020)Lewis, van Dijken, and Arrigo</label><mixed-citation>Lewis, K. M., van Dijken, G. L., and Arrigo, K. R.: Changes in Phytoplankton Concentration Now Drive Increased Arctic Ocean Primary Production, Science, 369, 198–202, <ext-link xlink:href="https://doi.org/10.1126/science.aay8380" ext-link-type="DOI">10.1126/science.aay8380</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Lilly and Olhede(2009)</label><mixed-citation>Lilly, J. M. and Olhede, S. C.: Wavelet Ridge Estimation of Jointly Modulated Multivariate Oscillations, in: 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers,   452–456, IEEE, Pacific Grove, CA, USA, 1–4 November 2009, Pacific Grove, California, USA, ISBN 978-1-4244-5825-7, <ext-link xlink:href="https://doi.org/10.1109/ACSSC.2009.5469858" ext-link-type="DOI">10.1109/ACSSC.2009.5469858</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Lind and Ingvaldsen(2012)</label><mixed-citation>Lind, S. and Ingvaldsen, R. B.: Variability and Impacts of Atlantic Water Entering the Barents Sea from the North, Deep-Sea Res. Pt. I, 62, 70–88, <ext-link xlink:href="https://doi.org/10.1016/j.dsr.2011.12.007" ext-link-type="DOI">10.1016/j.dsr.2011.12.007</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Lind et al.(2018)Lind, Ingvaldsen, and Furevik</label><mixed-citation>Lind, S., Ingvaldsen, R. B., and Furevik, T.: Arctic Warming Hotspot in the Northern Barents Sea Linked to Declining Sea-Ice Import, Nat. Clim. Change, 8, 634–639, <ext-link xlink:href="https://doi.org/10.1038/s41558-018-0205-y" ext-link-type="DOI">10.1038/s41558-018-0205-y</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Loeng(1991)</label><mixed-citation>Loeng, H.: Features of the Physical Oceanographic Conditions of the Barents Sea, Polar Res., 10, 5–18, <ext-link xlink:href="https://doi.org/10.3402/polar.v10i1.6723" ext-link-type="DOI">10.3402/polar.v10i1.6723</ext-link>, 1991.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Lundesgaard et al.(2022)Lundesgaard, Sundfjord, Lind, Nilsen, and Renner</label><mixed-citation>Lundesgaard, Ø., Sundfjord, A., Lind, S., Nilsen, F., and Renner, A. H. H.: Import of Atlantic Water and sea ice controls the ocean environment in the northern Barents Sea, Ocean Sci., 18, 1389–1418, <ext-link xlink:href="https://doi.org/10.5194/os-18-1389-2022" ext-link-type="DOI">10.5194/os-18-1389-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Lüpkes and Birnbaum(2005)</label><mixed-citation>Lüpkes, C. and Birnbaum, G.: Surface Drag in the Arctic Marginal Sea-ice Zone: A Comparison of Different Parameterisation Concepts, Boundary-Lay. Meteorol., 117, 179–211, <ext-link xlink:href="https://doi.org/10.1007/s10546-005-1445-8" ext-link-type="DOI">10.1007/s10546-005-1445-8</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Marchenko and Kowalik(2023)</label><mixed-citation>Marchenko, A. and Kowalik, Z.: Tidal Wave–Elliptic Island Interaction above the Critical Latitude, J. Phys. Oceanogr., 53, 683–698, <ext-link xlink:href="https://doi.org/10.1175/JPO-D-22-0018.1" ext-link-type="DOI">10.1175/JPO-D-22-0018.1</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Marshall and Shutts(1981)</label><mixed-citation>Marshall, J. and Shutts, G.: A Note on Rotational and Divergent Eddy Fluxes, J. Phys. Oceanogr., 11, 1677–1680, <ext-link xlink:href="https://doi.org/10.1175/1520-0485(1981)011&lt;1677:ANORAD&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0485(1981)011&lt;1677:ANORAD&gt;2.0.CO;2</ext-link>, 1981.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>McClimans and Nilsen(1993)</label><mixed-citation>McClimans, T. A. and Nilsen, J. H.: Laboratory Simulation of the Ocean Currents in the Barents Sea, Dynam. Atmos. Oceans, 19, 3–25, <ext-link xlink:href="https://doi.org/10.1016/0377-0265(93)90030-B" ext-link-type="DOI">10.1016/0377-0265(93)90030-B</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Mcdougall and Krzysik(2015)</label><mixed-citation> Mcdougall, T. J. and Krzysik, O. A.: Spiciness, J. Mar. Res., 73, 141–152, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Midttun(1985)</label><mixed-citation>Midttun, L.: Formation of Dense Bottom Water in the Barents Sea, Deep-Sea Res. Pt. I, 32, 1233–1241, <ext-link xlink:href="https://doi.org/10.1016/0198-0149(85)90006-8" ext-link-type="DOI">10.1016/0198-0149(85)90006-8</ext-link>, 1985.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Mohamed et al.(2022a)</label><mixed-citation>Mohamed, B., Nilsen, F., and Skogseth, R.: Marine Heatwaves Characteristics in the Barents Sea Based on High Resolution Satellite Data (1982–2020), Front. Mar. Sci., 9, 821646, <ext-link xlink:href="https://doi.org/10.3389/fmars.2022.821646" ext-link-type="DOI">10.3389/fmars.2022.821646</ext-link>, 2022a.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Mohamed et al.(2022b)</label><mixed-citation>Mohamed, B., Nilsen, F., and Skogseth, R.: Interannual and Decadal Variability of Sea Surface Temperature and Sea Ice Concentration in the Barents Sea, Remote Sens., 14, 4413, <ext-link xlink:href="https://doi.org/10.3390/rs14174413" ext-link-type="DOI">10.3390/rs14174413</ext-link>, 2022b.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Nilsen et al.(2016)Nilsen, Skogseth, Vaardal-Lunde, and Inall</label><mixed-citation>Nilsen, F., Skogseth, R., Vaardal-Lunde, J., and Inall, M.: A Simple Shelf Circulation Model: Intrusion of Atlantic Water on the West Spitsbergen Shelf, J. Phys. Oceanogr., 46, 1209–1230, <ext-link xlink:href="https://doi.org/10.1175/JPO-D-15-0058.1" ext-link-type="DOI">10.1175/JPO-D-15-0058.1</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Olhede and Walden(2002)</label><mixed-citation>Olhede, S. and Walden, A.: Generalized Morse Wavelets, IEEE T. Signal Proces., 50, 2661–2670, <ext-link xlink:href="https://doi.org/10.1109/TSP.2002.804066" ext-link-type="DOI">10.1109/TSP.2002.804066</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Onarheim and Årthun(2017)</label><mixed-citation>Onarheim, I. H. and Årthun, M.: Toward an Ice-Free Barents Sea, Geophys. Res. Lett., 44, 8387–8395, <ext-link xlink:href="https://doi.org/10.1002/2017GL074304" ext-link-type="DOI">10.1002/2017GL074304</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Onarheim et al.(2024)Onarheim, Årthun, Teigen, Eik, and Steele</label><mixed-citation>Onarheim, I. H., Årthun, M., Teigen, S. H., Eik, K. J., and Steele, M.: Recent Thickening of the Barents Sea Ice Cover, Geophys. Res. Lett., 51, e2024GL108225, <ext-link xlink:href="https://doi.org/10.1029/2024GL108225" ext-link-type="DOI">10.1029/2024GL108225</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>OSTIA(2023)</label><mixed-citation>OSTIA: Global Ocean OSTIA Sea Surface Temperature and Sea Ice Reprocessed,  E.U. Copernicus Marine Service Information (CMEMS), Marine Data Store (MDS) [data set], <ext-link xlink:href="https://doi.org/10.48670/moi-00168" ext-link-type="DOI">10.48670/moi-00168</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Oziel et al.(2016)Oziel, Sirven, and Gascard</label><mixed-citation>Oziel, L., Sirven, J., and Gascard, J.-C.: The Barents Sea frontal zones and water masses variability (1980–2011), Ocean Sci., 12, 169–184, <ext-link xlink:href="https://doi.org/10.5194/os-12-169-2016" ext-link-type="DOI">10.5194/os-12-169-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Oziel et al.(2020)Oziel, Baudena, Ardyna, Massicotte, Randelhoff, Sallée, Ingvaldsen, Devred, and Babin</label><mixed-citation>Oziel, L., Baudena, A., Ardyna, M., Massicotte, P., Randelhoff, A., Sallée, J.-B., Ingvaldsen, R. B., Devred, E., and Babin, M.: Faster Atlantic Currents Drive Poleward Expansion of Temperate Phytoplankton in the Arctic Ocean, Nat. Commun., 11, 1705, <ext-link xlink:href="https://doi.org/10.1038/s41467-020-15485-5" ext-link-type="DOI">10.1038/s41467-020-15485-5</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Pavlov et al.(2013)Pavlov, Tverberg, Ivanov, Nilsen, Falk-Petersen, and Granskog</label><mixed-citation>Pavlov, A. K., Tverberg, V., Ivanov, B. V., Nilsen, F., Falk-Petersen, S., and Granskog, M. A.: Warming of Atlantic Water in Two West Spitsbergen Fjords over the Last Century (1912–2009), Polar Res., 32, 1–14, <ext-link xlink:href="https://doi.org/10.3402/polar.v32i0.11206" ext-link-type="DOI">10.3402/polar.v32i0.11206</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>Percival and Walden(1993)</label><mixed-citation>Percival, D. B. and Walden, A. T.: Spectral Analysis for Physical Applications, Cambridge University Press, ISBN 978-0-521-35532-2, <ext-link xlink:href="https://doi.org/10.1017/CBO9780511622762" ext-link-type="DOI">10.1017/CBO9780511622762</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Polyakov et al.(2017)Polyakov, Pnyushkov, Alkire, Ashik, Baumann, Carmack, Goszczko, Guthrie, Ivanov, Kanzow, Krishfield, Kwok, Sundfjord, Morison, Rember, and Yulin</label><mixed-citation>Polyakov, I. V., Pnyushkov, A. V., Alkire, M. B., Ashik, I. M., Baumann, T. M., Carmack, E. C., Goszczko, I., Guthrie, J., Ivanov, V. V., Kanzow, T., Krishfield, R., Kwok, R., Sundfjord, A., Morison, J., Rember, R., and Yulin, A.: Greater Role for Atlantic Inflows on Sea-Ice Loss in the Eurasian Basin of the Arctic Ocean, Science, 356, 285–291, <ext-link xlink:href="https://doi.org/10.1126/science.aai8204" ext-link-type="DOI">10.1126/science.aai8204</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>Polyakov et al.(2023)Polyakov, Ingvaldsen, Pnyushkov, Bhatt, Francis, Janout, Kwok, and Skagseth</label><mixed-citation>Polyakov, I. V., Ingvaldsen, R. B., Pnyushkov, A. V., Bhatt, U. S., Francis, J. A., Janout, M., Kwok, R., and Skagseth, Ø.: Fluctuating Atlantic Inflows Modulate Arctic Atlantification, Science, 381, 972–979, <ext-link xlink:href="https://doi.org/10.1126/science.adh5158" ext-link-type="DOI">10.1126/science.adh5158</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>Quadfasel et al.(1988)Quadfasel, Rudelst, and Kurz</label><mixed-citation> Quadfasel, D., Rudelst, B., and Kurz, K.: Outflow of Dense Water from a Svalbard Fjord into the Fram Strait, Deep-Sea Res., 35, 1143–1150, 1988.</mixed-citation></ref>
      <ref id="bib1.bibx64"><label>Renner and Sundfjord(2022)</label><mixed-citation>Renner, A. and Sundfjord, A.: Mooring Service Cruise 2021: Cruise Report, The Nansen Legacy Report Series, <ext-link xlink:href="https://doi.org/10.7557/nlrs.6461" ext-link-type="DOI">10.7557/nlrs.6461</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx65"><label>Rieke et al.(2023)Rieke, Årthun, and Dörr</label><mixed-citation>Rieke, O., Årthun, M., and Dörr, J. S.: Rapid sea ice changes in the future Barents Sea, The Cryosphere, 17, 1445–1456, <ext-link xlink:href="https://doi.org/10.5194/tc-17-1445-2023" ext-link-type="DOI">10.5194/tc-17-1445-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx66"><label>Rudels et al.(1994)Rudels, Jones, Anderson, and Kattner</label><mixed-citation>Rudels, B., Jones, E. P., Anderson, L. G., and Kattner, G.: On the Intermediate Depth Waters of the Arctic Ocean, in: The Polar Oceans and Their Role in Shaping the Global Environment, American Geophysical Union (AGU), 33–46, ISBN 978-1-118-66388-2, <ext-link xlink:href="https://doi.org/10.1029/GM085p0033" ext-link-type="DOI">10.1029/GM085p0033</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx67"><label>Rudels et al.(2013)Rudels, Schauer, Björk, Korhonen, Pisarev, Rabe, and Wisotzki</label><mixed-citation>Rudels, B., Schauer, U., Björk, G., Korhonen, M., Pisarev, S., Rabe, B., and Wisotzki, A.: Observations of water masses and circulation with focus on the Eurasian Basin of the Arctic Ocean from the 1990s to the late 2000s, Ocean Sci., 9, 147–169, <ext-link xlink:href="https://doi.org/10.5194/os-9-147-2013" ext-link-type="DOI">10.5194/os-9-147-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx68"><label>Schauer(1995)</label><mixed-citation>Schauer, U.: The Release of Brine-Enriched Shelf Water from Storfjord into the Norwegian Sea, J. Geophys. Res.-Oceans, 100, 16015–16028, <ext-link xlink:href="https://doi.org/10.1029/95JC01184" ext-link-type="DOI">10.1029/95JC01184</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bibx69"><label>Schauer et al.(1997)Schauer, Muench, Rudels, and Timokhov</label><mixed-citation>Schauer, U., Muench, R. D., Rudels, B., and Timokhov, L.: Impact of Eastern Arctic Shelf Waters on the Nansen Basin Intermediate Layers, J. Geophys. Res.-Oceans, 102, 3371–3382, <ext-link xlink:href="https://doi.org/10.1029/96JC03366" ext-link-type="DOI">10.1029/96JC03366</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bibx70"><label>Schauer et al.(2002)Schauer, Loeng, Rudels, Ozhigin, and Dieck</label><mixed-citation>Schauer, U., Loeng, H., Rudels, B., Ozhigin, V. K., and Dieck, W.: Atlantic Water Flow through the Barents and Kara Seas, Deep-Sea Res. Pt. I, 49, 2281–2298, <ext-link xlink:href="https://doi.org/10.1016/S0967-0637(02)00125-5" ext-link-type="DOI">10.1016/S0967-0637(02)00125-5</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx71"><label>Shi et al.(2024)Shi, Luo, Luo, Yao, Gong, and Liu</label><mixed-citation>Shi, J., Luo, B., Luo, D., Yao, Y., Gong, T., and Liu, Y.: Differing Roles of North Atlantic Oceanic and Atmospheric Transports in the Winter Eurasian Arctic Sea-Ice Interannual-to-Decadal Variability, npj Climate and Atmospheric Science, 7, 1–13, <ext-link xlink:href="https://doi.org/10.1038/s41612-024-00605-5" ext-link-type="DOI">10.1038/s41612-024-00605-5</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx72"><label>Shu et al.(2021)Shu, Wang, Song, and Qiao</label><mixed-citation>Shu, Q., Wang, Q., Song, Z., and Qiao, F.: The Poleward Enhanced Arctic Ocean Cooling Machine in a Warming Climate, Nat. Commun., 12, 2966, <ext-link xlink:href="https://doi.org/10.1038/s41467-021-23321-7" ext-link-type="DOI">10.1038/s41467-021-23321-7</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx73"><label>Skagseth et al.(2020)Skagseth, Eldevik, Årthun, Asbjørnsen, Lien, and Smedsrud</label><mixed-citation>Skagseth, Ø., Eldevik, T., Årthun, M., Asbjørnsen, H., Lien, V. S., and Smedsrud, L. H.: Reduced Efficiency of the Barents Sea Cooling Machine, Nat. Clim. Change, 10, 661–666, <ext-link xlink:href="https://doi.org/10.1038/s41558-020-0772-6" ext-link-type="DOI">10.1038/s41558-020-0772-6</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx74"><label>Skogseth et al.(2004)Skogseth, Haugan, and Haarpaintner</label><mixed-citation>Skogseth, R., Haugan, P. M., and Haarpaintner, J.: Ice and Brine Production in Storfjorden from Four Winters of Satellite and in Situ Observations and Modeling, J. Geophys. Res.-Oceans, 109, 1–15, <ext-link xlink:href="https://doi.org/10.1029/2004JC002384" ext-link-type="DOI">10.1029/2004JC002384</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx75"><label>Skogseth et al.(2019)Skogseth, Ellingsen, Berge, Cottier, Falk-Petersen, Ivanov, Nilsen, Søreide, and Vader</label><mixed-citation>Skogseth, R., Ellingsen, P., Berge, J., Cottier, F. R., Falk-Petersen, S., Ivanov, B. V., Nilsen, F., Søreide, J. E., and Vader, A.: UNIS hydrographic database, Norwegian Polar Data Centre  [data set], <ext-link xlink:href="https://doi.org/10.21334/unis-hydrography" ext-link-type="DOI">10.21334/unis-hydrography</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx76"><label>Skogseth et al.(2020)Skogseth, Olivier, Nilsen, Falck, Fraser, Tverberg, Ledang, Vader, Jonassen, Søreide, Cottier, Berge, Ivanov, and Falk-Petersen</label><mixed-citation>Skogseth, R., Olivier, L. L., Nilsen, F., Falck, E., Fraser, N. J., Tverberg, V., Ledang, A. B., Vader, A., Jonassen, M. O., Søreide, J., Cottier, F., Berge, J., Ivanov, B. V., and Falk-Petersen, S.: Variability and Decadal Trends in the Isfjorden (Svalbard) Ocean Climate and Circulation – An Indicator for Climate Change in the European Arctic, Prog. Oceanogr., 187, 102394, <ext-link xlink:href="https://doi.org/10.1016/j.pocean.2020.102394" ext-link-type="DOI">10.1016/j.pocean.2020.102394</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx77"><label>Slepian(1978)</label><mixed-citation>Slepian, D.: Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty — V: The Discrete Case, Bell Syst. Tech. J., 57, 1371–1430, <ext-link xlink:href="https://doi.org/10.1002/j.1538-7305.1978.tb02104.x" ext-link-type="DOI">10.1002/j.1538-7305.1978.tb02104.x</ext-link>, 1978.</mixed-citation></ref>
      <ref id="bib1.bibx78"><label>Smedsrud et al.(2013)Smedsrud, Esau, Ingvaldsen, Eldevik, Haugan, Li, Lien, Olsen, Omar, Risebrobakken, Sandø, Semenov, and Sorokina</label><mixed-citation>Smedsrud, L. H., Esau, I., Ingvaldsen, R. B., Eldevik, T., Haugan, P. M., Li, C., Lien, V. S., Olsen, A., Omar, A. M., Risebrobakken, B., Sandø, A. B., Semenov, V. A., and Sorokina, S. A.: The Role of the Barents Sea in the Arctic Climate System, Rev. Geophys., 51, 415–449, <ext-link xlink:href="https://doi.org/10.1002/rog.20017" ext-link-type="DOI">10.1002/rog.20017</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx79"><label>Smedsrud et al.(2022)Smedsrud, Muilwijk, Brakstad, Madonna, Lauvset, Spensberger, Born, Eldevik, Drange, Jeansson, Li, Olsen, Skagseth, Slater, Straneo, Våge, and Årthun</label><mixed-citation>Smedsrud, L. H., Muilwijk, M., Brakstad, A., Madonna, E., Lauvset, S. K., Spensberger, C., Born, A., Eldevik, T., Drange, H., Jeansson, E., Li, C., Olsen, A., Skagseth, Ø., Slater, D. A., Straneo, F., Våge, K., and Årthun, M.: Nordic Seas Heat Loss, Atlantic Inflow, and Arctic Sea Ice Cover Over the Last Century, Rev. Geophys., 60, e2020RG000725, <ext-link xlink:href="https://doi.org/10.1029/2020RG000725" ext-link-type="DOI">10.1029/2020RG000725</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx80"><label>Strzelewicz et al.(2022)Strzelewicz, Przyborska, and Walczowski</label><mixed-citation>Strzelewicz, A., Przyborska, A., and Walczowski, W.: Increased Presence of Atlantic Water on the Shelf South-West of Spitsbergen with Implications for the Arctic Fjord Hornsund, Prog. Oceanogr., 200, 102714, <ext-link xlink:href="https://doi.org/10.1016/j.pocean.2021.102714" ext-link-type="DOI">10.1016/j.pocean.2021.102714</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx81"><label>Sundfjord(2022)</label><mixed-citation>Sundfjord, A.: CTD Data from Nansen Legacy Cruise – Mooring Service Cruise 2019,  Norwegian Marine Data Centre [data set], <ext-link xlink:href="https://doi.org/10.21335/NMDC-2135074338" ext-link-type="DOI">10.21335/NMDC-2135074338</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx82"><label>Sundfjord(2023)</label><mixed-citation>Sundfjord, A.: Nansen Legacy Cruises – Mooring Cruise 2021, Norwegian Marine Data Centre [data set], <ext-link xlink:href="https://doi.org/10.21335/NMDC-499497542" ext-link-type="DOI">10.21335/NMDC-499497542</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx83"><label>Sundfjord and Renner(2021)</label><mixed-citation>Sundfjord, A. and Renner, A.: Mooring Service Cruise 2019: Cruise Report, The Nansen Legacy Report Series, <ext-link xlink:href="https://doi.org/10.7557/nlrs.5797" ext-link-type="DOI">10.7557/nlrs.5797</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx84"><label>Sundfjord et al.(2020)Sundfjord, Assmann, Lundesgaard, Renner, Lind, and Ingvaldsen</label><mixed-citation>Sundfjord, A., Assmann, K. M., Lundesgaard, Ø., Renner, A. H. H., Lind, S., and Ingvaldsen, R. B.: Suggested Water Mass Definitions for the Central and Northern Barents Sea, and the Adjacent Nansen Basin: The Nansen Legacy Report Series, Oslo, Norway, 29-31 November 2019,  8, 1–15, <ext-link xlink:href="https://doi.org/10.7557/nlrs.5707" ext-link-type="DOI">10.7557/nlrs.5707</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx85"><label>Thomson(1982)</label><mixed-citation>Thomson, D.: Spectrum Estimation and Harmonic Analysis, P. IEEE, 70, 1055–1096, <ext-link xlink:href="https://doi.org/10.1109/PROC.1982.12433" ext-link-type="DOI">10.1109/PROC.1982.12433</ext-link>, 1982.</mixed-citation></ref>
      <ref id="bib1.bibx86"><label>Tverberg et al.(2019)Tverberg, Skogseth, Cottier, Sundfjord, Walczowski, Inall, Falck, Pavlova, and Nilsen</label><mixed-citation>Tverberg, V., Skogseth, R., Cottier, F., Sundfjord, A., Walczowski, W., Inall, M. E., Falck, E., Pavlova, O., and Nilsen, F.: The Kongsfjorden Transect: Seasonal and Inter-annual Variability in Hydrography, in: The Ecosystem of Kongsfjorden, Svalbard, edited by: Hop, H. and Wiencke, C., Advances in Polar Ecology,  49–104, Springer International Publishing, Cham, ISBN 978-3-319-46425-1, <ext-link xlink:href="https://doi.org/10.1007/978-3-319-46425-1_3" ext-link-type="DOI">10.1007/978-3-319-46425-1_3</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx87"><label>Vihtakari(2020)</label><mixed-citation>Vihtakari, M.: PlotSvalbard: PlotSvalbard – Plot Research Data from Svalbard on Maps, Github, <uri>https://github.com/MikkoVihtakari/PlotSvalbard</uri> (last access: 30 July 2024), 2020.</mixed-citation></ref>
      <ref id="bib1.bibx88"><label>Vihtakari et al.(2019)Vihtakari, Sundfjord, and de Steur</label><mixed-citation>Vihtakari, M., Sundfjord, A., and de Steur, L.: Barents Sea Ocean-Current Arrows Modified from Eriksen et al. (2018), Norwegian Polar Institute and Institute of Marine Research, Github,  <uri>https://github.com/MikkoVihtakari/Barents-Sea-currents</uri> (last access: 6 August 2024), 2019.</mixed-citation></ref>
      <ref id="bib1.bibx89"><label>Vinje et al.(1989)Vinje, Jensen, Johnsen, Løset, Hamran, Løvaas, and Erlingson</label><mixed-citation> Vinje, T., Jensen, H., Johnsen, A. S., Løset, S., Hamran, S. E., Løvaas, S. M., and Erlingson, B.: IDAP-89 R/V Lance Deployment. Vol. 2. Field Observations and Analysis, Tech. rep., Norwegian Polar Institute/SINTEF NHL, Oslo/Trondheim, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx90"><label>Vivier et al.(2023)Vivier, Lourenço, Michel, Skogseth, Rousset, Lansard, Bouruet-Aubertot, Boutin, Bombled, Cuypers, Crispi, Dausse, Le Goff, Madec, Vancoppenolle, Van der Linden, and Waelbroeck</label><mixed-citation>Vivier, F., Lourenço, A., Michel, E., Skogseth, R., Rousset, C., Lansard, B., Bouruet-Aubertot, P., Boutin, J., Bombled, B., Cuypers, Y., Crispi, O., Dausse, D., Le Goff, H., Madec, G., Vancoppenolle, M., Van der Linden, F., and Waelbroeck, C.: Summer Hydrography and Circulation in Storfjorden, Svalbard, Following a Record Low Winter Sea-Ice Extent in the Barents Sea, J. Geophys. Res.-Oceans, 128, e2022JC018648, <ext-link xlink:href="https://doi.org/10.1029/2022JC018648" ext-link-type="DOI">10.1029/2022JC018648</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx91"><label>Wickström et al.(2020)Wickström, Jonassen, Vihma, and Uotila</label><mixed-citation>Wickström, S., Jonassen, M. O., Vihma, T., and Uotila, P.: Trends in Cyclones in the High-Latitude North Atlantic during 1979–2016, Q. J. Roy. Meteor. Soc., 146, 762–779, <ext-link xlink:href="https://doi.org/10.1002/qj.3707" ext-link-type="DOI">10.1002/qj.3707</ext-link>, 2020. </mixed-citation></ref>
      <ref id="bib1.bibx92"><label>Wold et al.(2023)Wold, Hop, Svensen, Søreide, Assmann, Ormanczyk, and Kwasniewski</label><mixed-citation>Wold, A., Hop, H., Svensen, C., Søreide, J. E., Assmann, K. M., Ormanczyk, M., and Kwasniewski, S.: Atlantification Influences Zooplankton Communities Seasonally in the Northern Barents Sea and Arctic Ocean, Prog. Oceanogr., 219, 103133, <ext-link xlink:href="https://doi.org/10.1016/j.pocean.2023.103133" ext-link-type="DOI">10.1016/j.pocean.2023.103133</ext-link>, 2023.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>An emerging pathway of Atlantic Water to the Barents Sea through the Svalbard Archipelago: drivers and variability</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Arntsen et al.(2019)Arntsen, Sundfjord, Skogseth, Błaszczyk, and
Promińska</label><mixed-citation>
      
Arntsen, M., Sundfjord, A., Skogseth, R., Błaszczyk, M., and Promińska,
A.: Inflow of Warm Water to the Inner Hornsund Fjord, Svalbard:
Exchange Mechanisms and Influence on Local Sea Ice Cover and
Glacier Front Melting, J. Geophys. Res.-Oceans, 124,
1915–1931, <a href="https://doi.org/10.1029/2018JC014315" target="_blank">https://doi.org/10.1029/2018JC014315</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Årthun and Schrum(2010)</label><mixed-citation>
      
Årthun, M. and Schrum, C.: Ocean Surface Heat Flux Variability in the
Barents Sea, J. Marine Syst., 83, 88–98,
<a href="https://doi.org/10.1016/j.jmarsys.2010.07.003" target="_blank">https://doi.org/10.1016/j.jmarsys.2010.07.003</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Årthun et al.(2011)Årthun, Ingvaldsen, Smedsrud, and
Schrum</label><mixed-citation>
      
Årthun, M., Ingvaldsen, R. B., Smedsrud, L. H., and Schrum, C.: Dense Water
Formation and Circulation in the Barents Sea, Deep-Sea Res. Pt. I, 58, 801–817, <a href="https://doi.org/10.1016/j.dsr.2011.06.001" target="_blank">https://doi.org/10.1016/j.dsr.2011.06.001</a>,
2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Årthun et al.(2012)Årthun, Eldevik, Smedsrud, Skagseth, and
Ingvaldsen</label><mixed-citation>
      
Årthun, M., Eldevik, T., Smedsrud, L. H., Skagseth, Ø., and Ingvaldsen,
R. B.: Quantifying the Influence of Atlantic Heat on Barents Sea
Ice Variability and Retreat, J. Climate, 25, 4736–4743,
<a href="https://doi.org/10.1175/JCLI-D-11-00466.1" target="_blank">https://doi.org/10.1175/JCLI-D-11-00466.1</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Årthun et al.(2021)Årthun, Onarheim, Dörr, and
Eldevik</label><mixed-citation>
      
Årthun, M., Onarheim, I. H., Dörr, J., and Eldevik, T.: The
Seasonal and Regional Transition to an Ice-Free Arctic,
Geophys. Res. Lett., 48, e2020GL090825,
<a href="https://doi.org/10.1029/2020GL090825" target="_blank">https://doi.org/10.1029/2020GL090825</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Asbjørnsen et al.(2020)Asbjørnsen, Årthun, Skagseth, and
Eldevik</label><mixed-citation>
      
Asbjørnsen, H., Årthun, M., Skagseth, Ø., and Eldevik, T.: Mechanisms
Underlying Recent Arctic Atlantification, Geophys. Res. Lett.,
47, e2020GL088036, <a href="https://doi.org/10.1029/2020GL088036" target="_blank">https://doi.org/10.1029/2020GL088036</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Barton et al.(2018)Barton, Lenn, and Lique</label><mixed-citation>
      
Barton, B. I., Lenn, Y.-D., and Lique, C.: Observed Atlantification of the
Barents Sea Causes the Polar Front to Limit the Expansion of
Winter Sea Ice, J. Phys. Oceanogr., 48, 1849–1866,
<a href="https://doi.org/10.1175/jpo-d-18-0003.1" target="_blank">https://doi.org/10.1175/jpo-d-18-0003.1</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Bloshkina et al.(2021)Bloshkina, Pavlov, and Filchuk</label><mixed-citation>
      
Bloshkina, E. V., Pavlov, A. K., and Filchuk, K.: Warming of Atlantic Water
in Three West Spitsbergen Fjords: Recent Patterns and Century-Long
Trends, Polar Res., 40,  5392, <a href="https://doi.org/10.33265/polar.v40.5392" target="_blank">https://doi.org/10.33265/polar.v40.5392</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Brown et al.(2023)Brown, Mauritzen, Li, Madonna, Isachsen, and
LaCasce</label><mixed-citation>
      
Brown, N. J., Mauritzen, C., Li, C., Madonna, E., Isachsen, P. E., and LaCasce,
J. H.: Rapid Response of the Norwegian Atlantic Slope Current to
Wind Forcing, J. Phys. Oceanogr., 53, 389–408,
<a href="https://doi.org/10.1175/JPO-D-22-0014.1" target="_blank">https://doi.org/10.1175/JPO-D-22-0014.1</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Dalpadado et al.(2020)Dalpadado, Arrigo, van Dijken, Skjoldal,
Bagøien, Dolgov, Prokopchuk, and Sperfeld</label><mixed-citation>
      
Dalpadado, P., Arrigo, K. R., van Dijken, G. L., Skjoldal, H. R., Bagøien,
E., Dolgov, A. V., Prokopchuk, I. P., and Sperfeld, E.: Climate Effects on
Temporal and Spatial Dynamics of Phytoplankton and Zooplankton in the
Barents Sea, Prog. Oceanogr., 185, 102320,
<a href="https://doi.org/10.1016/j.pocean.2020.102320" target="_blank">https://doi.org/10.1016/j.pocean.2020.102320</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Dickson et al.(1970)Dickson, Midttun, and Mukhin</label><mixed-citation>
      
Dickson, R. R., Midttun, L. S., and Mukhin, A. I.: The hydrographic conditions in the Barents Sea in August–September 1965–1968, in: International 0-Group Fish Survey in the Barents Sea, edited by: Dragesund, O., ICES Cooperative Research Reports (CRR) Ser. A, 18, 3–24, International Council for the Exploration of the Sea,
<a href="https://doi.org/10.17895/ices.pub.8051" target="_blank">https://doi.org/10.17895/ices.pub.8051</a>, 1970.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Dörr et al.(2024)Dörr, Årthun, Docquier, Li, and
Eldevik</label><mixed-citation>
      
Dörr, J., Årthun, M., Docquier, D., Li, C., and Eldevik, T.: Causal
Links Between Sea-Ice Variability in the Barents-Kara Seas and
Oceanic and Atmospheric Drivers, Geophys. Res. Lett., 51,
e2024GL108195, <a href="https://doi.org/10.1029/2024GL108195" target="_blank">https://doi.org/10.1029/2024GL108195</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Eriksen et al.(2017)Eriksen, Skjoldal, Gjøsæter, and
Primicerio</label><mixed-citation>
      
Eriksen, E., Skjoldal, H. R., Gjøsæter, H., and Primicerio, R.: Spatial
and Temporal Changes in the Barents Sea Pelagic Compartment during the
Recent Warming, Prog. Oceanogr., 151, 206–226,
<a href="https://doi.org/10.1016/j.pocean.2016.12.009" target="_blank">https://doi.org/10.1016/j.pocean.2016.12.009</a>, 2017.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Eriksen et al.(2018)Eriksen, Gjøsæter, Prozorkevich, Shamray,
Dolgov, Skern-Mauritzen, Stiansen, Kovalev, and Sunnanå</label><mixed-citation>
      
Eriksen, E., Gjøsæter, H., Prozorkevich, D., Shamray, E., Dolgov, A.,
Skern-Mauritzen, M., Stiansen, J. E., Kovalev, Y., and Sunnanå, K.:
From Single Species Surveys towards Monitoring of the Barents Sea
Ecosystem, Prog. Oceanogr., 166, 4–14,
<a href="https://doi.org/10.1016/j.pocean.2017.09.007" target="_blank">https://doi.org/10.1016/j.pocean.2017.09.007</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Erofeeva and Egbert(2020)</label><mixed-citation>
      
Erofeeva, S. and Egbert, G.: Arc5km2018: Arctic Ocean Inverse Tide Model on
a 5 Kilometer Grid, 2018, Arctic Data Center [data set], <a href="https://doi.org/10.18739/A21R6N14K" target="_blank">https://doi.org/10.18739/A21R6N14K</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Fer(2020)</label><mixed-citation>
      
Fer, I.: Physical Oceanography Data from the Cruise KB 2018616 with
R.V. Kristine Bonnevie,  Norwegian Marine Data Centre [data set], <a href="https://doi.org/10.21335/NMDC-2047975397" target="_blank">https://doi.org/10.21335/NMDC-2047975397</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Fer et al.(2021)Fer, Skogseth, Astad, Baumann, Elliott, Falck,
Gawinski, and Kolås</label><mixed-citation>
      
Fer, I., Skogseth, R., Astad, S. S., Baumann, T., Elliott, F., Falck, E.,
Gawinski, C., and Kolås, E. H.: SS-MSC2 Process Cruise/Mooring
Service 2020: Cruise Report, The Nansen Legacy Report Series, <a href="https://doi.org/10.7557/nlrs.5798" target="_blank">https://doi.org/10.7557/nlrs.5798</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Geoffroy et al.(2018)Geoffroy, Berge, Majaneva, Johnsen, Langbehn,
Cottier, Mogstad, Zolich, and Last</label><mixed-citation>
      
Geoffroy, M., Berge, J., Majaneva, S., Johnsen, G., Langbehn, T. J., Cottier,
F., Mogstad, A. A., Zolich, A., and Last, K.: Increased Occurrence of the
Jellyfish Periphylla Periphylla in the European High Arctic,
Polar Biol., 41, 2615–2619, <a href="https://doi.org/10.1007/s00300-018-2368-4" target="_blank">https://doi.org/10.1007/s00300-018-2368-4</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Gerland et al.(2023)Gerland, Ingvaldsen, Reigstad, Sundfjord,
Bogstad, Chierici, Hop, Renaud, Smedsrud, Stige, Årthun, Berge, Bluhm,
Borgå, Bratbak, Divine, Eldevik, Eriksen, Fer, Fransson, Gradinger,
Granskog, Haug, Husum, Johnsen, Jonassen, Jørgensen, Kristiansen, Larsen,
Lien, Lind, Lindstrøm, Mauritzen, Melsom, Mernild, Müller, Nilsen,
Primicerio, Søreide, van der Meeren, and Wassmann</label><mixed-citation>
      
Gerland, S., Ingvaldsen, R. B., Reigstad, M., Sundfjord, A., Bogstad, B.,
Chierici, M., Hop, H., Renaud, P. E., Smedsrud, L. H., Stige, L. C.,
Årthun, M., Berge, J., Bluhm, B. A., Borgå, K., Bratbak, G., Divine,
D. V., Eldevik, T., Eriksen, E., Fer, I., Fransson, A., Gradinger, R.,
Granskog, M. A., Haug, T., Husum, K., Johnsen, G., Jonassen, M. O.,
Jørgensen, L. L., Kristiansen, S., Larsen, A., Lien, V. S., Lind, S.,
Lindstrøm, U., Mauritzen, C., Melsom, A., Mernild, S. H., Müller, M.,
Nilsen, F., Primicerio, R., Søreide, J. E., van der Meeren, G. I., and
Wassmann, P.: Still Arctic?–The Changing Barents Sea, Elementa:
Science of the Anthropocene, 11, 00088, <a href="https://doi.org/10.1525/elementa.2022.00088" target="_blank">https://doi.org/10.1525/elementa.2022.00088</a>,
2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Gjevik et al.(1994)Gjevik, Nøst, and Straume</label><mixed-citation>
      
Gjevik, B., Nøst, E., and Straume, T.: Model Simulations of the Tides in the
Barents Sea, J. Geophys. Res., 99, 3337,
<a href="https://doi.org/10.1029/93JC02743" target="_blank">https://doi.org/10.1029/93JC02743</a>, 1994.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Good et al.(2020)Good, Fiedler, Mao, Martin, Maycock, Reid,
Roberts-Jones, Searle, Waters, While, and Worsfold</label><mixed-citation>
      
Good, S., Fiedler, E., Mao, C., Martin, M. J., Maycock, A., Reid, R.,
Roberts-Jones, J., Searle, T., Waters, J., While, J., and Worsfold, M.: The
Current Configuration of the OSTIA System for Operational
Production of Foundation Sea Surface Temperature and Ice
Concentration Analyses, Remote Sens., 12, 720, <a href="https://doi.org/10.3390/rs12040720" target="_blank">https://doi.org/10.3390/rs12040720</a>,
2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Guo et al.(2014)Guo, Ilicak, Fer, Darelius, and Bentsen</label><mixed-citation>
      
Guo, C., Ilicak, M., Fer, I., Darelius, E., and Bentsen, M.: Baroclinic
Instability of the Faroe Bank Channel Overflow, Journal of Physical
Oceanography, 44, 2698–2717, <a href="https://doi.org/10.1175/JPO-D-14-0080.1" target="_blank">https://doi.org/10.1175/JPO-D-14-0080.1</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Häkkinen and Cavalieri(1989)</label><mixed-citation>
      
Häkkinen, S. and Cavalieri, D. J.: A Study of Oceanic Surface Heat Fluxes
in the Greenland, Norwegian, and Barents Seas, J.
Geophys. Res.-Oceans, 94, 6145–6157, <a href="https://doi.org/10.1029/JC094iC05p06145" target="_blank">https://doi.org/10.1029/JC094iC05p06145</a>,
1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Harms(1992)</label><mixed-citation>
      
Harms, I. H.: A Numerical Study of the Barotropic Circulation in the
Barents and Kara Seas, Cont. Shelf Res., 12, 1043–1058,
<a href="https://doi.org/10.1016/0278-4343(92)90015-C" target="_blank">https://doi.org/10.1016/0278-4343(92)90015-C</a>, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Hersbach et al.(2020)Hersbach, Bell, Berrisford, Hirahara,
Horányi, Muñoz-Sabater, Nicolas, Peubey, Radu, Schepers, Simmons,
Soci, Abdalla, Abellan, Balsamo, Bechtold, Biavati, Bidlot, Bonavita,
De Chiara, Dahlgren, Dee, Diamantakis, Dragani, Flemming, Forbes, Fuentes,
Geer, Haimberger, Healy, Hogan, Hólm, Janisková, Keeley, Laloyaux,
Lopez, Lupu, Radnoti, de Rosnay, Rozum, Vamborg, Villaume, and
Thépaut</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.-N.: The ERA5
Global Reanalysis, Q. J. Roy. Meteor. Soc.,
146, 1999–2049, <a href="https://doi.org/10.1002/qj.3803" target="_blank">https://doi.org/10.1002/qj.3803</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Hersbach et al.(2023)</label><mixed-citation>
      
Hersbach, H., Bell, B., Berrisford, P., Biavati, G., Horányi, A., Muñoz Sabater, J., Nicolas, J., Peubey, C., Radu, R., Rozum, I., Schepers, D., Simmons, A., Soci, C., Dee, D., and Thépaut, J.-N.: 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.bib27"><label>Ingvaldsen et al.(2021)Ingvaldsen, Assmann, Primicerio, Fossheim,
Polyakov, and Dolgov</label><mixed-citation>
      
Ingvaldsen, R. B., Assmann, K. M., Primicerio, R., Fossheim, M., Polyakov,
I. V., and Dolgov, A. V.: Physical Manifestations and Ecological Implications
of Arctic Atlantification, Nat. Rev. Earth  Environ., 2,
874–889, <a href="https://doi.org/10.1038/s43017-021-00228-x" target="_blank">https://doi.org/10.1038/s43017-021-00228-x</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Isaksen et al.(2022)Isaksen, Nordli, Ivanov, Køltzow, Aaboe,
Gjelten, Mezghani, Eastwood, Førland, Benestad, Hanssen-Bauer,
Brækkan, Sviashchennikov, Demin, Revina, and Karandasheva</label><mixed-citation>
      
Isaksen, K., Nordli, Ø., Ivanov, B., Køltzow, M. A. Ø., Aaboe, S.,
Gjelten, H. M., Mezghani, A., Eastwood, S., Førland, E., Benestad, R. E.,
Hanssen-Bauer, I., Brækkan, R., Sviashchennikov, P., Demin, V., Revina,
A., and Karandasheva, T.: Exceptional Warming over the Barents Area,
Sci. Rep., 12, 9371, <a href="https://doi.org/10.1038/s41598-022-13568-5" target="_blank">https://doi.org/10.1038/s41598-022-13568-5</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Ivanov et al.(2020)Ivanov, Frolov, and Filchuk</label><mixed-citation>
      
Ivanov, V. V., Frolov, I. E., and Filchuk, K. V.: Transformation of Atlantic
Water in the North-Eastern Barents Sea in Winter,
Arctic and Antarctic
Research, 66, 246–266, <a href="https://doi.org/10.30758/0555-2648-2020-66-3-246-266" target="_blank">https://doi.org/10.30758/0555-2648-2020-66-3-246-266</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Jakobsson et al.(2012)Jakobsson, Mayer, Coakley, Dowdeswell, Forbes,
Fridman, Hodnesdal, Noormets, Pedersen, Rebesco, Schenke, Zarayskaya,
Accettella, Armstrong, Anderson, Bienhoff, Camerlenghi, Church, Edwards,
Gardner, Hall, Hell, Hestvik, Kristoffersen, Marcussen, Mohammad, Mosher,
Nghiem, Pedrosa, Travaglini, and Weatherall</label><mixed-citation>
      
Jakobsson, M., Mayer, L., Coakley, B., Dowdeswell, J. A., Forbes, S., Fridman,
B., Hodnesdal, H., Noormets, R., Pedersen, R., Rebesco, M., Schenke, H. W.,
Zarayskaya, Y., Accettella, D., Armstrong, A., Anderson, R. M., Bienhoff, P.,
Camerlenghi, A., Church, I., Edwards, M., Gardner, J. V., Hall, J. K., Hell,
B., Hestvik, O., Kristoffersen, Y., Marcussen, C., Mohammad, R., Mosher, D.,
Nghiem, S. V., Pedrosa, M. T., Travaglini, P. G., and Weatherall, P.: The
International Bathymetric Chart of the Arctic Ocean (IBCAO)
Version 3.0, Geophys. Res. Lett., 39, L12609,
<a href="https://doi.org/10.1029/2012GL052219" target="_blank">https://doi.org/10.1029/2012GL052219</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Jakobsson et al.(2020)Jakobsson, Mayer, Bringensparr, Castro,
Mohammad, Johnson, Ketter, Accettella, Amblas, An, Arndt, Canals, Casamor,
Chauché, Coakley, Danielson, Demarte, Dickson, Dorschel, Dowdeswell,
Dreutter, Fremand, Gallant, Hall, Hehemann, Hodnesdal, Hong, Ivaldi, Kane,
Klaucke, Krawczyk, Kristoffersen, Kuipers, Millan, Masetti, Morlighem,
Noormets, Prescott, Rebesco, Rignot, Semiletov, Tate, Travaglini, Velicogna,
Weatherall, Weinrebe, Willis, Wood, Zarayskaya, Zhang, Zimmermann, and
Zinglersen</label><mixed-citation>
      
Jakobsson, M., Mayer, L. A., Bringensparr, C., Castro, C. F., Mohammad, R.,
Johnson, P., Ketter, T., Accettella, D., Amblas, D., An, L., Arndt, J. E.,
Canals, M., Casamor, J. L., Chauché, N., Coakley, B., Danielson, S.,
Demarte, M., Dickson, M. L., Dorschel, B., Dowdeswell, J. A., Dreutter, S.,
Fremand, A. C., Gallant, D., Hall, J. K., Hehemann, L., Hodnesdal, H., Hong,
J., Ivaldi, R., Kane, E., Klaucke, I., Krawczyk, D. W., Kristoffersen, Y.,
Kuipers, B. R., Millan, R., Masetti, G., Morlighem, M., Noormets, R.,
Prescott, M. M., Rebesco, M., Rignot, E., Semiletov, I., Tate, A. J.,
Travaglini, P., Velicogna, I., Weatherall, P., Weinrebe, W., Willis, J. K.,
Wood, M., Zarayskaya, Y., Zhang, T., Zimmermann, M., and Zinglersen, K. B.:
The International Bathymetric Chart of the Arctic Ocean Version 4.0,
Sci. Data, 7, 1–14, <a href="https://doi.org/10.1038/s41597-020-0520-9" target="_blank">https://doi.org/10.1038/s41597-020-0520-9</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Kalhagen et al.(2024)Kalhagen, Fer, Skogseth, Nilsen, and
Czyz</label><mixed-citation>
      
Kalhagen, K., Fer, I., Skogseth, R., Nilsen, F., and Czyz, C.: Physical
Oceanography Data from a Mooring on Spitsbergenbanken in the
North-Western Barents Sea, September 2018 – November 2019,
Norwegian Marine Data Centre [data set], <a href="https://doi.org/10.21335/NMDC-1780886855" target="_blank">https://doi.org/10.21335/NMDC-1780886855</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Knipowitsch(1905)</label><mixed-citation>
      
Knipowitsch, N.: Hydrologische Untersuchungen Im Europäischen
Eismeer, Annalen der Hydrographie und Maritimen Meteorologie, 33, 241–260,
1905.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Kohlbach et al.(2023)Kohlbach, Goraguer, Bodur, Müller,
Amargant Arumí, Blix, Bratbak, Chierici, Dąbrowska, Dietrich,
Edvardsen, García, Gradinger, Hop, Jones, Lundesgaard, Olsen, Reigstad,
Saubrekka, and Assmy</label><mixed-citation>
      
Kohlbach, D., Goraguer, L., Bodur, Y., Müller, O., Amargant Arumí, M.,
Blix, K., Bratbak, G., Chierici, M., Dąbrowska, A., Dietrich, U.,
Edvardsen, B., García, L., Gradinger, R., Hop, H., Jones, E.,
Lundesgaard, Ø., Olsen, L., Reigstad, M., Saubrekka, K., and Assmy, P.:
Earlier Sea-Ice Melt Extends the Oligotrophic Summer Period in the Barents
Sea with Low Algal Biomass and Associated Low Vertical Flux, Prog.
Oceanogr., 213, 103018, <a href="https://doi.org/10.1016/j.pocean.2023.103018" target="_blank">https://doi.org/10.1016/j.pocean.2023.103018</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Kolås et al.(2023)Kolås, Baumann, Skogseth, Koenig, and
Fer</label><mixed-citation>
      
Kolås, E. H., Baumann, T. M., Skogseth, R., Koenig, Z., and Fer, I.:
Western Barents Sea Circulation and Hydrography, Past  Present,
<a href="https://doi.org/10.22541/essoar.169203078.81082540/v1" target="_blank">https://doi.org/10.22541/essoar.169203078.81082540/v1</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Kowalik and Marchenko(2023)</label><mixed-citation>
      
Kowalik, Z. and Marchenko, A.: Tidal Motion Enhancement on Spitsbergen
Bank, Barents Sea, J. Geophys. Res.-Oceans, 128,
e2022JC018539, <a href="https://doi.org/10.1029/2022JC018539" target="_blank">https://doi.org/10.1029/2022JC018539</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Kowalik and Proshutinsky(1995)</label><mixed-citation>
      
Kowalik, Z. and Proshutinsky, A. Y.: Topographic Enhancement of Tidal
Motion in the Western Barents Sea, J. Geophys. Res.-Oceans, 100, 2613–2637, <a href="https://doi.org/10.1029/94JC02838" target="_blank">https://doi.org/10.1029/94JC02838</a>, 1995.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Lewis et al.(2020)Lewis, van Dijken, and Arrigo</label><mixed-citation>
      
Lewis, K. M., van Dijken, G. L., and Arrigo, K. R.: Changes in Phytoplankton
Concentration Now Drive Increased Arctic Ocean Primary Production,
Science, 369, 198–202, <a href="https://doi.org/10.1126/science.aay8380" target="_blank">https://doi.org/10.1126/science.aay8380</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Lilly and Olhede(2009)</label><mixed-citation>
      
Lilly, J. M. and Olhede, S. C.: Wavelet Ridge Estimation of Jointly Modulated
Multivariate Oscillations, in: 2009 Conference Record of the
Forty-Third Asilomar Conference on Signals, Systems and
Computers,   452–456, IEEE, Pacific Grove, CA, USA, 1–4 November 2009, Pacific Grove, California, USA, ISBN 978-1-4244-5825-7, <a href="https://doi.org/10.1109/ACSSC.2009.5469858" target="_blank">https://doi.org/10.1109/ACSSC.2009.5469858</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Lind and Ingvaldsen(2012)</label><mixed-citation>
      
Lind, S. and Ingvaldsen, R. B.: Variability and Impacts of Atlantic Water
Entering the Barents Sea from the North, Deep-Sea Res. Pt. I, 62, 70–88, <a href="https://doi.org/10.1016/j.dsr.2011.12.007" target="_blank">https://doi.org/10.1016/j.dsr.2011.12.007</a>,
2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Lind et al.(2018)Lind, Ingvaldsen, and Furevik</label><mixed-citation>
      
Lind, S., Ingvaldsen, R. B., and Furevik, T.: Arctic Warming Hotspot in the
Northern Barents Sea Linked to Declining Sea-Ice Import, Nat. Clim.
Change, 8, 634–639, <a href="https://doi.org/10.1038/s41558-018-0205-y" target="_blank">https://doi.org/10.1038/s41558-018-0205-y</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Loeng(1991)</label><mixed-citation>
      
Loeng, H.: Features of the Physical Oceanographic Conditions of the Barents
Sea, Polar Res., 10, 5–18, <a href="https://doi.org/10.3402/polar.v10i1.6723" target="_blank">https://doi.org/10.3402/polar.v10i1.6723</a>,
1991.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Lundesgaard et al.(2022)Lundesgaard, Sundfjord, Lind, Nilsen, and
Renner</label><mixed-citation>
      
Lundesgaard, Ø., Sundfjord, A., Lind, S., Nilsen, F., and Renner, A. H. H.: Import of Atlantic Water and sea ice controls the ocean environment in the northern Barents Sea, Ocean Sci., 18, 1389–1418, <a href="https://doi.org/10.5194/os-18-1389-2022" target="_blank">https://doi.org/10.5194/os-18-1389-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Lüpkes and Birnbaum(2005)</label><mixed-citation>
      
Lüpkes, C. and Birnbaum, G.: Surface Drag in the Arctic Marginal
Sea-ice Zone: A Comparison of Different Parameterisation Concepts,
Boundary-Lay. Meteorol., 117, 179–211, <a href="https://doi.org/10.1007/s10546-005-1445-8" target="_blank">https://doi.org/10.1007/s10546-005-1445-8</a>,
2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Marchenko and Kowalik(2023)</label><mixed-citation>
      
Marchenko, A. and Kowalik, Z.: Tidal Wave–Elliptic Island Interaction
above the Critical Latitude, J. Phys. Oceanogr., 53,
683–698, <a href="https://doi.org/10.1175/JPO-D-22-0018.1" target="_blank">https://doi.org/10.1175/JPO-D-22-0018.1</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Marshall and Shutts(1981)</label><mixed-citation>
      
Marshall, J. and Shutts, G.: A Note on Rotational and Divergent Eddy
Fluxes, J. Phys. Oceanogr., 11, 1677–1680,
<a href="https://doi.org/10.1175/1520-0485(1981)011&lt;1677:ANORAD&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0485(1981)011&lt;1677:ANORAD&gt;2.0.CO;2</a>, 1981.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>McClimans and Nilsen(1993)</label><mixed-citation>
      
McClimans, T. A. and Nilsen, J. H.: Laboratory Simulation of the Ocean Currents
in the Barents Sea, Dynam. Atmos. Oceans, 19, 3–25,
<a href="https://doi.org/10.1016/0377-0265(93)90030-B" target="_blank">https://doi.org/10.1016/0377-0265(93)90030-B</a>, 1993.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Mcdougall and Krzysik(2015)</label><mixed-citation>
      
Mcdougall, T. J. and Krzysik, O. A.: Spiciness, J. Mar. Res., 73,
141–152, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Midttun(1985)</label><mixed-citation>
      
Midttun, L.: Formation of Dense Bottom Water in the Barents Sea, Deep-Sea
Res. Pt. I, 32, 1233–1241,
<a href="https://doi.org/10.1016/0198-0149(85)90006-8" target="_blank">https://doi.org/10.1016/0198-0149(85)90006-8</a>, 1985.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Mohamed et al.(2022a)</label><mixed-citation>
      
Mohamed, B., Nilsen, F., and Skogseth, R.: Marine Heatwaves Characteristics
in the Barents Sea Based on High Resolution Satellite Data
(1982–2020), Front. Mar. Sci., 9, 821646, <a href="https://doi.org/10.3389/fmars.2022.821646" target="_blank">https://doi.org/10.3389/fmars.2022.821646</a>, 2022a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Mohamed et al.(2022b)</label><mixed-citation>
      
Mohamed, B., Nilsen, F., and Skogseth, R.: Interannual and Decadal
Variability of Sea Surface Temperature and Sea Ice Concentration in
the Barents Sea, Remote Sens., 14, 4413, <a href="https://doi.org/10.3390/rs14174413" target="_blank">https://doi.org/10.3390/rs14174413</a>,
2022b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Nilsen et al.(2016)Nilsen, Skogseth, Vaardal-Lunde, and
Inall</label><mixed-citation>
      
Nilsen, F., Skogseth, R., Vaardal-Lunde, J., and Inall, M.: A Simple Shelf
Circulation Model: Intrusion of Atlantic Water on the West
Spitsbergen Shelf, J. Phys. Oceanogr., 46, 1209–1230,
<a href="https://doi.org/10.1175/JPO-D-15-0058.1" target="_blank">https://doi.org/10.1175/JPO-D-15-0058.1</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Olhede and Walden(2002)</label><mixed-citation>
      
Olhede, S. and Walden, A.: Generalized Morse Wavelets,
IEEE T.
Signal Proces., 50, 2661–2670, <a href="https://doi.org/10.1109/TSP.2002.804066" target="_blank">https://doi.org/10.1109/TSP.2002.804066</a>, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Onarheim and Årthun(2017)</label><mixed-citation>
      
Onarheim, I. H. and Årthun, M.: Toward an Ice-Free Barents Sea,
Geophys. Res. Lett., 44, 8387–8395, <a href="https://doi.org/10.1002/2017GL074304" target="_blank">https://doi.org/10.1002/2017GL074304</a>,
2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Onarheim et al.(2024)Onarheim, Årthun, Teigen, Eik, and
Steele</label><mixed-citation>
      
Onarheim, I. H., Årthun, M., Teigen, S. H., Eik, K. J., and Steele, M.:
Recent Thickening of the Barents Sea Ice Cover, Geophys. Res.
Lett., 51, e2024GL108225, <a href="https://doi.org/10.1029/2024GL108225" target="_blank">https://doi.org/10.1029/2024GL108225</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>OSTIA(2023)</label><mixed-citation>
      
OSTIA: Global Ocean OSTIA Sea Surface Temperature and Sea Ice
Reprocessed,  E.U. Copernicus Marine Service Information (CMEMS), Marine Data Store (MDS) [data set], <a href="https://doi.org/10.48670/moi-00168" target="_blank">https://doi.org/10.48670/moi-00168</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Oziel et al.(2016)Oziel, Sirven, and Gascard</label><mixed-citation>
      
Oziel, L., Sirven, J., and Gascard, J.-C.: The Barents Sea frontal zones and water masses variability (1980–2011), Ocean Sci., 12, 169–184, <a href="https://doi.org/10.5194/os-12-169-2016" target="_blank">https://doi.org/10.5194/os-12-169-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Oziel et al.(2020)Oziel, Baudena, Ardyna, Massicotte, Randelhoff,
Sallée, Ingvaldsen, Devred, and Babin</label><mixed-citation>
      
Oziel, L., Baudena, A., Ardyna, M., Massicotte, P., Randelhoff, A., Sallée,
J.-B., Ingvaldsen, R. B., Devred, E., and Babin, M.: Faster Atlantic
Currents Drive Poleward Expansion of Temperate Phytoplankton in the Arctic
Ocean, Nat. Commun., 11, 1705, <a href="https://doi.org/10.1038/s41467-020-15485-5" target="_blank">https://doi.org/10.1038/s41467-020-15485-5</a>,
2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Pavlov et al.(2013)Pavlov, Tverberg, Ivanov, Nilsen, Falk-Petersen,
and Granskog</label><mixed-citation>
      
Pavlov, A. K., Tverberg, V., Ivanov, B. V., Nilsen, F., Falk-Petersen, S.,
and Granskog, M. A.: Warming of Atlantic Water in Two West
Spitsbergen Fjords over the Last Century (1912–2009), Polar Res., 32,
1–14, <a href="https://doi.org/10.3402/polar.v32i0.11206" target="_blank">https://doi.org/10.3402/polar.v32i0.11206</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Percival and Walden(1993)</label><mixed-citation>
      
Percival, D. B. and Walden, A. T.: Spectral Analysis for Physical
Applications, Cambridge University Press, ISBN 978-0-521-35532-2,
<a href="https://doi.org/10.1017/CBO9780511622762" target="_blank">https://doi.org/10.1017/CBO9780511622762</a>, 1993.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Polyakov et al.(2017)Polyakov, Pnyushkov, Alkire, Ashik, Baumann,
Carmack, Goszczko, Guthrie, Ivanov, Kanzow, Krishfield, Kwok, Sundfjord,
Morison, Rember, and Yulin</label><mixed-citation>
      
Polyakov, I. V., Pnyushkov, A. V., Alkire, M. B., Ashik, I. M., Baumann, T. M.,
Carmack, E. C., Goszczko, I., Guthrie, J., Ivanov, V. V., Kanzow, T.,
Krishfield, R., Kwok, R., Sundfjord, A., Morison, J., Rember, R., and Yulin,
A.: Greater Role for Atlantic Inflows on Sea-Ice Loss in the Eurasian
Basin of the Arctic Ocean, Science, 356, 285–291,
<a href="https://doi.org/10.1126/science.aai8204" target="_blank">https://doi.org/10.1126/science.aai8204</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Polyakov et al.(2023)Polyakov, Ingvaldsen, Pnyushkov, Bhatt, Francis,
Janout, Kwok, and Skagseth</label><mixed-citation>
      
Polyakov, I. V., Ingvaldsen, R. B., Pnyushkov, A. V., Bhatt, U. S., Francis,
J. A., Janout, M., Kwok, R., and Skagseth, Ø.: Fluctuating Atlantic
Inflows Modulate Arctic Atlantification, Science, 381, 972–979,
<a href="https://doi.org/10.1126/science.adh5158" target="_blank">https://doi.org/10.1126/science.adh5158</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Quadfasel et al.(1988)Quadfasel, Rudelst, and Kurz</label><mixed-citation>
      
Quadfasel, D., Rudelst, B., and Kurz, K.: Outflow of Dense Water from a
Svalbard Fjord into the Fram Strait, Deep-Sea Res., 35,
1143–1150, 1988.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Renner and Sundfjord(2022)</label><mixed-citation>
      
Renner, A. and Sundfjord, A.: Mooring Service Cruise 2021: Cruise Report,
The Nansen Legacy Report Series, <a href="https://doi.org/10.7557/nlrs.6461" target="_blank">https://doi.org/10.7557/nlrs.6461</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Rieke et al.(2023)Rieke, Årthun, and Dörr</label><mixed-citation>
      
Rieke, O., Årthun, M., and Dörr, J. S.: Rapid sea ice changes in the future Barents Sea, The Cryosphere, 17, 1445–1456, <a href="https://doi.org/10.5194/tc-17-1445-2023" target="_blank">https://doi.org/10.5194/tc-17-1445-2023</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Rudels et al.(1994)Rudels, Jones, Anderson, and Kattner</label><mixed-citation>
      
Rudels, B., Jones, E. P., Anderson, L. G., and Kattner, G.: On the
Intermediate Depth Waters of the Arctic Ocean, in: The Polar
Oceans and Their Role in Shaping the Global Environment,
American Geophysical Union (AGU), 33–46, ISBN 978-1-118-66388-2,
<a href="https://doi.org/10.1029/GM085p0033" target="_blank">https://doi.org/10.1029/GM085p0033</a>, 1994.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Rudels et al.(2013)Rudels, Schauer, Björk, Korhonen, Pisarev,
Rabe, and Wisotzki</label><mixed-citation>
      
Rudels, B., Schauer, U., Björk, G., Korhonen, M., Pisarev, S., Rabe, B., and Wisotzki, A.: Observations of water masses and circulation with focus on the Eurasian Basin of the Arctic Ocean from the 1990s to the late 2000s, Ocean Sci., 9, 147–169, <a href="https://doi.org/10.5194/os-9-147-2013" target="_blank">https://doi.org/10.5194/os-9-147-2013</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Schauer(1995)</label><mixed-citation>
      
Schauer, U.: The Release of Brine-Enriched Shelf Water from Storfjord into
the Norwegian Sea, J. Geophys. Res.-Oceans, 100,
16015–16028, <a href="https://doi.org/10.1029/95JC01184" target="_blank">https://doi.org/10.1029/95JC01184</a>, 1995.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Schauer et al.(1997)Schauer, Muench, Rudels, and
Timokhov</label><mixed-citation>
      
Schauer, U., Muench, R. D., Rudels, B., and Timokhov, L.: Impact of Eastern
Arctic Shelf Waters on the Nansen Basin Intermediate Layers, J. Geophys. Res.-Oceans, 102, 3371–3382, <a href="https://doi.org/10.1029/96JC03366" target="_blank">https://doi.org/10.1029/96JC03366</a>,
1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Schauer et al.(2002)Schauer, Loeng, Rudels, Ozhigin, and
Dieck</label><mixed-citation>
      
Schauer, U., Loeng, H., Rudels, B., Ozhigin, V. K., and Dieck, W.: Atlantic
Water Flow through the Barents and Kara Seas, Deep-Sea Res.
Pt. I, 49, 2281–2298,
<a href="https://doi.org/10.1016/S0967-0637(02)00125-5" target="_blank">https://doi.org/10.1016/S0967-0637(02)00125-5</a>, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>Shi et al.(2024)Shi, Luo, Luo, Yao, Gong, and Liu</label><mixed-citation>
      
Shi, J., Luo, B., Luo, D., Yao, Y., Gong, T., and Liu, Y.: Differing Roles of
North Atlantic Oceanic and Atmospheric Transports in the Winter
Eurasian Arctic Sea-Ice Interannual-to-Decadal Variability, npj Climate
and Atmospheric Science, 7, 1–13, <a href="https://doi.org/10.1038/s41612-024-00605-5" target="_blank">https://doi.org/10.1038/s41612-024-00605-5</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>Shu et al.(2021)Shu, Wang, Song, and Qiao</label><mixed-citation>
      
Shu, Q., Wang, Q., Song, Z., and Qiao, F.: The Poleward Enhanced Arctic
Ocean Cooling Machine in a Warming Climate, Nat. Commun., 12,
2966, <a href="https://doi.org/10.1038/s41467-021-23321-7" target="_blank">https://doi.org/10.1038/s41467-021-23321-7</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>Skagseth et al.(2020)Skagseth, Eldevik, Årthun, Asbjørnsen,
Lien, and Smedsrud</label><mixed-citation>
      
Skagseth, Ø., Eldevik, T., Årthun, M., Asbjørnsen, H., Lien, V. S.,
and Smedsrud, L. H.: Reduced Efficiency of the Barents Sea Cooling
Machine, Nat. Clim. Change, 10, 661–666,
<a href="https://doi.org/10.1038/s41558-020-0772-6" target="_blank">https://doi.org/10.1038/s41558-020-0772-6</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>Skogseth et al.(2004)Skogseth, Haugan, and
Haarpaintner</label><mixed-citation>
      
Skogseth, R., Haugan, P. M., and Haarpaintner, J.: Ice and Brine Production in
Storfjorden from Four Winters of Satellite and in Situ Observations and
Modeling, J. Geophys. Res.-Oceans, 109, 1–15,
<a href="https://doi.org/10.1029/2004JC002384" target="_blank">https://doi.org/10.1029/2004JC002384</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>Skogseth et al.(2019)Skogseth, Ellingsen, Berge, Cottier,
Falk-Petersen, Ivanov, Nilsen, Søreide, and Vader</label><mixed-citation>
      
Skogseth, R., Ellingsen, P., Berge, J., Cottier, F. R., Falk-Petersen, S.,
Ivanov, B. V., Nilsen, F., Søreide, J. E., and Vader, A.: UNIS hydrographic database, Norwegian Polar Data Centre  [data set], <a href="https://doi.org/10.21334/unis-hydrography" target="_blank">https://doi.org/10.21334/unis-hydrography</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>Skogseth et al.(2020)Skogseth, Olivier, Nilsen, Falck, Fraser,
Tverberg, Ledang, Vader, Jonassen, Søreide, Cottier, Berge, Ivanov, and
Falk-Petersen</label><mixed-citation>
      
Skogseth, R., Olivier, L. L., Nilsen, F., Falck, E., Fraser, N. J., Tverberg,
V., Ledang, A. B., Vader, A., Jonassen, M. O., Søreide, J., Cottier, F.,
Berge, J., Ivanov, B. V., and Falk-Petersen, S.: Variability and Decadal
Trends in the Isfjorden (Svalbard) Ocean Climate and Circulation –
An Indicator for Climate Change in the European Arctic, Prog.
Oceanogr., 187, 102394, <a href="https://doi.org/10.1016/j.pocean.2020.102394" target="_blank">https://doi.org/10.1016/j.pocean.2020.102394</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>Slepian(1978)</label><mixed-citation>
      
Slepian, D.: Prolate Spheroidal Wave Functions, Fourier Analysis, and
Uncertainty — V: The Discrete Case, Bell Syst. Tech. J.,
57, 1371–1430, <a href="https://doi.org/10.1002/j.1538-7305.1978.tb02104.x" target="_blank">https://doi.org/10.1002/j.1538-7305.1978.tb02104.x</a>, 1978.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>Smedsrud et al.(2013)Smedsrud, Esau, Ingvaldsen, Eldevik, Haugan, Li,
Lien, Olsen, Omar, Risebrobakken, Sandø, Semenov, and
Sorokina</label><mixed-citation>
      
Smedsrud, L. H., Esau, I., Ingvaldsen, R. B., Eldevik, T., Haugan, P. M., Li,
C., Lien, V. S., Olsen, A., Omar, A. M., Risebrobakken, B., Sandø, A. B.,
Semenov, V. A., and Sorokina, S. A.: The Role of the Barents Sea in the
Arctic Climate System, Rev. Geophys., 51, 415–449,
<a href="https://doi.org/10.1002/rog.20017" target="_blank">https://doi.org/10.1002/rog.20017</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>Smedsrud et al.(2022)Smedsrud, Muilwijk, Brakstad, Madonna, Lauvset,
Spensberger, Born, Eldevik, Drange, Jeansson, Li, Olsen, Skagseth, Slater,
Straneo, Våge, and Årthun</label><mixed-citation>
      
Smedsrud, L. H., Muilwijk, M., Brakstad, A., Madonna, E., Lauvset, S. K.,
Spensberger, C., Born, A., Eldevik, T., Drange, H., Jeansson, E., Li, C.,
Olsen, A., Skagseth, Ø., Slater, D. A., Straneo, F., Våge, K., and
Årthun, M.: Nordic Seas Heat Loss, Atlantic Inflow, and Arctic
Sea Ice Cover Over the Last Century, Rev. Geophys., 60,
e2020RG000725, <a href="https://doi.org/10.1029/2020RG000725" target="_blank">https://doi.org/10.1029/2020RG000725</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>Strzelewicz et al.(2022)Strzelewicz, Przyborska, and
Walczowski</label><mixed-citation>
      
Strzelewicz, A., Przyborska, A., and Walczowski, W.: Increased Presence of
Atlantic Water on the Shelf South-West of Spitsbergen with
Implications for the Arctic Fjord Hornsund, Prog. Oceanogr.,
200, 102714, <a href="https://doi.org/10.1016/j.pocean.2021.102714" target="_blank">https://doi.org/10.1016/j.pocean.2021.102714</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>Sundfjord(2022)</label><mixed-citation>
      
Sundfjord, A.: CTD Data from Nansen Legacy Cruise – Mooring Service
Cruise 2019,  Norwegian Marine Data Centre [data set], <a href="https://doi.org/10.21335/NMDC-2135074338" target="_blank">https://doi.org/10.21335/NMDC-2135074338</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>Sundfjord(2023)</label><mixed-citation>
      
Sundfjord, A.: Nansen Legacy Cruises – Mooring Cruise 2021,
Norwegian Marine Data Centre [data set], <a href="https://doi.org/10.21335/NMDC-499497542" target="_blank">https://doi.org/10.21335/NMDC-499497542</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>Sundfjord and Renner(2021)</label><mixed-citation>
      
Sundfjord, A. and Renner, A.: Mooring Service Cruise 2019: Cruise Report,
The Nansen Legacy Report Series, <a href="https://doi.org/10.7557/nlrs.5797" target="_blank">https://doi.org/10.7557/nlrs.5797</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>Sundfjord et al.(2020)Sundfjord, Assmann, Lundesgaard, Renner, Lind,
and Ingvaldsen</label><mixed-citation>
      
Sundfjord, A., Assmann, K. M., Lundesgaard, Ø., Renner, A. H. H., Lind, S.,
and Ingvaldsen, R. B.: Suggested Water Mass Definitions for the Central and Northern Barents Sea, and the Adjacent Nansen Basin: The Nansen Legacy Report Series, Oslo, Norway, 29-31 November 2019,  8, 1–15, <a href="https://doi.org/10.7557/nlrs.5707" target="_blank">https://doi.org/10.7557/nlrs.5707</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>Thomson(1982)</label><mixed-citation>
      
Thomson, D.: Spectrum Estimation and Harmonic Analysis, P. IEEE, 70, 1055–1096, <a href="https://doi.org/10.1109/PROC.1982.12433" target="_blank">https://doi.org/10.1109/PROC.1982.12433</a>, 1982.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>Tverberg et al.(2019)Tverberg, Skogseth, Cottier, Sundfjord,
Walczowski, Inall, Falck, Pavlova, and Nilsen</label><mixed-citation>
      
Tverberg, V., Skogseth, R., Cottier, F., Sundfjord, A., Walczowski, W., Inall,
M. E., Falck, E., Pavlova, O., and Nilsen, F.: The Kongsfjorden Transect:
Seasonal and Inter-annual Variability in Hydrography, in: The
Ecosystem of Kongsfjorden, Svalbard, edited by: Hop, H. and
Wiencke, C., Advances in Polar Ecology,  49–104, Springer
International Publishing, Cham, ISBN 978-3-319-46425-1,
<a href="https://doi.org/10.1007/978-3-319-46425-1_3" target="_blank">https://doi.org/10.1007/978-3-319-46425-1_3</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>Vihtakari(2020)</label><mixed-citation>
      
Vihtakari, M.: PlotSvalbard: PlotSvalbard – Plot Research Data from
Svalbard on Maps, Github, <a href="https://github.com/MikkoVihtakari/PlotSvalbard" target="_blank"/> (last access: 30 July 2024), 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>Vihtakari et al.(2019)Vihtakari, Sundfjord, and de
Steur</label><mixed-citation>
      
Vihtakari, M., Sundfjord, A., and de Steur, L.: Barents Sea Ocean-Current
Arrows Modified from Eriksen et al. (2018), Norwegian Polar Institute
and Institute of Marine Research, Github,  <a href="https://github.com/MikkoVihtakari/Barents-Sea-currents" target="_blank"/> (last access: 6 August 2024), 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>Vinje et al.(1989)Vinje, Jensen, Johnsen, Løset, Hamran,
Løvaas, and Erlingson</label><mixed-citation>
      
Vinje, T., Jensen, H., Johnsen, A. S., Løset, S., Hamran, S. E., Løvaas,
S. M., and Erlingson, B.: IDAP-89 R/V Lance Deployment. Vol. 2.
Field Observations and Analysis, Tech. rep., Norwegian Polar
Institute/SINTEF NHL, Oslo/Trondheim, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>Vivier et al.(2023)Vivier, Lourenço, Michel, Skogseth, Rousset,
Lansard, Bouruet-Aubertot, Boutin, Bombled, Cuypers, Crispi, Dausse,
Le Goff, Madec, Vancoppenolle, Van der Linden, and Waelbroeck</label><mixed-citation>
      
Vivier, F., Lourenço, A., Michel, E., Skogseth, R., Rousset, C., Lansard,
B., Bouruet-Aubertot, P., Boutin, J., Bombled, B., Cuypers, Y., Crispi, O.,
Dausse, D., Le Goff, H., Madec, G., Vancoppenolle, M., Van der Linden, F.,
and Waelbroeck, C.: Summer Hydrography and Circulation in
Storfjorden, Svalbard, Following a Record Low Winter Sea-Ice
Extent in the Barents Sea, J. Geophys. Res.-Oceans,
128, e2022JC018648, <a href="https://doi.org/10.1029/2022JC018648" target="_blank">https://doi.org/10.1029/2022JC018648</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>Wickström et al.(2020)Wickström, Jonassen, Vihma, and
Uotila</label><mixed-citation>
      
Wickström, S., Jonassen, M. O., Vihma, T., and Uotila, P.: Trends in
Cyclones in the High-Latitude North Atlantic during 1979–2016, Q.
J. Roy. Meteor. Soc., 146, 762–779,
<a href="https://doi.org/10.1002/qj.3707" target="_blank">https://doi.org/10.1002/qj.3707</a>, 2020.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>Wold et al.(2023)Wold, Hop, Svensen, Søreide, Assmann, Ormanczyk,
and Kwasniewski</label><mixed-citation>
      
Wold, A., Hop, H., Svensen, C., Søreide, J. E., Assmann, K. M., Ormanczyk,
M., and Kwasniewski, S.: Atlantification Influences Zooplankton Communities
Seasonally in the Northern Barents Sea and Arctic Ocean, Prog.
Oceanogr., 219, 103133, <a href="https://doi.org/10.1016/j.pocean.2023.103133" target="_blank">https://doi.org/10.1016/j.pocean.2023.103133</a>, 2023.

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