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  <front>
    <journal-meta><journal-id journal-id-type="publisher">OS</journal-id><journal-title-group>
    <journal-title>Ocean Science</journal-title>
    <abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1812-0792</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/os-22-3165-2026</article-id><title-group><article-title>Current dynamics, drivers, and vertical thermal structure  around Sir Bu Nair Island (Arabian/Persian Gulf)</article-title><alt-title>Current dynamics, drivers, and vertical thermal structure around Sir Bu Nair Island</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Cavalcante</surname><given-names>Geórgenes H.</given-names></name>
          <email>ghc2441@nyu.edu</email>
        <ext-link>https://orcid.org/0000-0002-2387-4494</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Vieira</surname><given-names>Filipe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5589-0598</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bento</surname><given-names>Rita</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7522-5894</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Bartholomew</surname><given-names>Aaron</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3154-1515</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Burt</surname><given-names>John A.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Mubadala Arabian Center for Climate and Environmental Sciences (Mubadala ACCESS), NYUAD Research Institute,  New York University Abu Dhabi, P.O. Box 129188, Abu Dhabi, United Arab Emirates</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Atmospheric Science, Federal University of Alagoas, Maceió, Brazil</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Applied Technology and Management, Inc. – ATM a Geosyntec Company, Dubai, United Arab Emirates</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Biology, Chemistry and Environmental Science Department, American University of Sharjah, Sharjah, United Arab Emirates</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Geórgenes H. Cavalcante (ghc2441@nyu.edu)</corresp></author-notes><pub-date><day>14</day><month>October</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>5</issue>
      <fpage>3165</fpage><lpage>3183</lpage>
      <history>
        <date date-type="received"><day>2</day><month>June</month><year>2026</year></date>
           <date date-type="rev-request"><day>25</day><month>June</month><year>2026</year></date>
           <date date-type="rev-recd"><day>17</day><month>September</month><year>2026</year></date>
           <date date-type="accepted"><day>7</day><month>October</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Geórgenes H. Cavalcante et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026.html">This article is available from https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e141">Sir Bu Nair Island (SBN) in the central Arabian Gulf is one of the last locations in the UAE's Gulf waters to retain extensive and well-developed coral reefs, whereas many nearshore environments have experienced severe degradation following recurrent marine heatwaves. Although tides, winds, and subtidal circulation are thought to influence reef-level thermal conditions at SBN, the local physical processes governing circulation and temperature variability have not previously been resolved from in situ observations. Here, we analysed a 17 month record (May 2021–October 2022) of currents, sea level, and temperature from bottom-mounted ADCPs and multi-depth temperature moorings, complemented by wind reanalysis and long-term regional satellite and model products. Currents at SBN were strongly anisotropic and aligned along a dominant principal axis, reflecting topographic steering around the island. Currents were substantially stronger and more directionally organized at the northwest site than at the southern site, demonstrating pronounced spatial variability around the island. Tidal forcing dominated current variability, explaining up to <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the along-axis variance at the northwest site but substantially less in the cross-axis direction and at the southern site. Wind–current coupling was strongest at subtidal timescales, with rapid (0–2 h) responses consistent with local barotropic adjustment to wind forcing. Summer temperatures exceeded 35 <inline-formula><mml:math id="M2" 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 vertical temperature differences of 2–4 <inline-formula><mml:math id="M3" 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> developed during late spring and summer before undergoing rapid transitions toward thermal homogeneity. The diurnal band accounted for much of the variability in vertical temperature structure, with additional variability at synoptic (2–4 d) timescales associated with wind, sea level, and currents. Long-term regional analyses showed that the exceptionally warm conditions observed in 2021 extended across the southeastern Gulf, whereas regional current speeds remained within historical variability. Together, the observations indicated that changes in vertical thermal structure were associated with interacting tidal, atmospheric, and lower-frequency circulation processes rather than a single mechanism. These findings provide the first integrated observational description of circulation and thermal structure at SBN and highlight how regional forcing and local topographic modification combine to produce spatially and temporally heterogeneous conditions around an isolated reef system in the central Gulf.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>American University of Sharjah</funding-source>
<award-id>FRG21-M-S24</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Conselho Nacional de Desenvolvimento Científico e Tecnológico</funding-source>
<award-id>306370/2023-9</award-id>
</award-group>
<award-group id="gs3">
<funding-source>New York University Abu Dhabi</funding-source>
<award-id>Grant CG009 to Mubadala ACCESS</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e186">The Arabian/Persian Gulf (hereafter “the Gulf”) is a shallow, semi-enclosed marginal sea characterized by strong evaporation, limited freshwater input, and intense atmospheric forcing (Campos et al., 2020; Ibrahim and Eltahir, 2019; Ranjbar et al., 2020). Circulation results from the interaction of density-driven flow, wind forcing, and tides, producing a basin-scale cyclonic gyre current of typically 0.05–0.20 m<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and strong synoptic variability associated with north-westerly (<italic>Shamal</italic>) winds (Langodan et al., 2023; Cavalcante et al., 2016; Al Senafi and Anis, 2015). While tides dominate instantaneous currents, winds and density gradients play a key role in subtidal variability and vertical exchange (Al Azhar et al., 2016; Alosairi et al., 2011).</p>
      <p id="d2e206">The Gulf also exhibits a highly variable stratification regime driven by seasonal heating. During summer, surface heating promotes the formation of a shallow thermocline, particularly under weak wind conditions, with subsurface waters remaining several degrees cooler than the surface (Hassanzadeh et al., 2011; Alosairi et al., 2011; Yao and Johns, 2010b). At the same time, energetic tidal currents and synoptic wind systems, including <italic>Shamal</italic> events, can intermittently disrupt stratification, leading to rapid vertical mixing and water-column homogenization (Yao and Johns, 2010a; Thoppil and Hogan, 2010; Chao et al., 1992). Although these processes are relatively well described at basin scales, their interaction with local bathymetry and their role in controlling vertical exchange at smaller spatial scales remain poorly understood.</p>
      <p id="d2e212">Sir Bu Nair Island (SBN), located in the central southern Gulf, provides a natural setting to investigate these processes. The island lies within the pathway of basin-scale circulation and is characterized by steep surrounding bathymetry, with depths reaching <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</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:math></inline-formula> within 3–5 km of the shoreline (Cavalcante et al., 2024; Bento et al., 2021). The interaction between incoming flow and this topography is expected to promote flow steering, current intensification, and localized mixing, consistent with topographically constrained environments, where tidal propagation is modified and shear-driven processes enhance vertical exchange (Lowe and Falter, 2015; Simpson et al., 1990; Wolanski and Hamner, 1988).</p>
      <p id="d2e229">Earlier research on SBN has focused mainly on the continued resilience of extensive, well-developed coral reefs communities at the island compared to other parts of the Gulf, where recurrent marine heatwaves have resulted in the near collapse of coral reefs, particularly within the southern Gulf basin (Hadj-Hammou et al., 2025; Bento et al., 2021). Studies based on numerical models have highlighted the potential role of mesoscale and sub-mesoscale features in transporting larvae from SBN to coastal reef systems along the southern Gulf margin (Cavalcante et al., 2020; Riegl et al., 2017; Cavalcante et al., 2016), suggesting that physical circulation processes at SBN may have broader regional implications for reef connectivity and recovery. Moreover, recent studies have suggested that heat-sensitive corals (<italic>Acropora</italic> spp.) may have continued to persist at SBN due to the buffering effect of deeper, cooler waters surrounding the island, which mitigate extreme summer temperatures (Hadj-Hammou et al., 2025; Cavalcante et al., 2024; Bejarano et al., 2022).</p>
      <p id="d2e236">To our knowledge, the only study providing direct observational insights into the oceanographic conditions at SBN is based on a short (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mtext>6 week</mml:mtext></mml:mrow></mml:math></inline-formula>) study in 2021, which reported near-surface current speeds of up to <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> and abrupt temperature variations with daily vertical ranges of <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (Cavalcante et al., 2024). Despite this, direct observational data on circulation and stratification dynamics at SBN remains limited.</p>
      <p id="d2e288">Here, we use a multi-instrument observational dataset to investigate the physical processes controlling circulation and thermal structure at SBN. We (i) characterize the dominant circulation regime, (ii) quantify the relative roles of tidal and wind forcing across multiple timescales, and (iii) examine the mechanisms responsible for episodic stratification and rapid mixing. We hypothesize that circulation is strongly modulated by local bathymetry, that tides dominate instantaneous flow but not stratification variability, and that stratification collapse results from the interaction between synoptic and higher-frequency forcing.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Material and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area</title>
      <p id="d2e306">Sir Bu Nair Island (SBN) located <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">70</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> offshore from the southeast coast of the UAE lies within a well-enforced protected area with limited human disturbances (Hadj-Hammou et al., 2025), which extends over 49.6 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, including <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">36.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> of marine habitat surrounding the island (Fig. 1) (Bento et al., 2021). The island is surrounded by a relatively steep bathymetry gradient reaching up to <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> depth just <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> from shore (Fig. 1) (Cavalcante et al., 2024). Geologically, SBN Island's near-circular shape and the surrounding steep bathymetric gradient result from the surface expression of a Hormuz salt dome rising from the stable shelf of the Arabian basement, influencing local seafloor topography (Ellison et al., 2021; Thomas et al., 2015).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e385">The top panel presents the deployment sites around Sir Bu Nair (SBN) Island, while the bottom panel shows the location of the oceanographic buoy. Depth contours in the top panel were adjusted to enhance visualization of the pronounced bathymetric gradient surrounding the island. ADCP moorings are designated as SBN-NW (northwest ADCP) and SBN-S (south ADCP). Temperature loggers deployed in the northwest, northeast, and southern sectors are referred to as SBN-NW, SBN-NE, and SBN-S, respectively. Buoy location is referred to as (<inline-formula><mml:math id="M14" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f01.png"/>

        </fig>

      <p id="d2e401">The dominant astronomical constituents responsible for the water level fluctuations in the Gulf are the principal semi-diurnal (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and diurnal (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) tides (Fig. 2 – shows <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). While the Gulf as a whole is often described as mixed, mainly semi-diurnal, the location of SBN is near the central area where the relationship between the semi-diurnal and diurnal tides is crucial (Burt and Paparella, 2024). Previous studies of current meter data near SBN have shown that the local hydrodynamic conditions are influenced by both the diurnal (<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">24</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and semi-diurnal (12.5 h) tidal periods (Fig. 2), leading to a complex daily pattern of water flow (Cavalcante et al., 2024).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e488">Amplitudes in m (shaded in colors) overlaid with phase contours of the major tidal constituents (M2 and K1) generated from TPXO10-atlas models (Egbert and Erofeeva, 2002).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>In situ observations</title>
      <p id="d2e505">Time-series measurements of vertical currents, temperature, and absolute water depth were collected and analyzed around Sir Bu Nair Island (SBN). Two ADCP moorings were deployed (Fig. 1). On the northwest flank (SBN-NW; 25.251° N, 54.194° E), an upward-looking Nortek Signature 1000 kHz ADCP was bottom-mounted at <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</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:math></inline-formula> water depth. The instrument sampled with 0.5 m vertical bins, averaging 120 pings at 1 Hz into 2 min ensembles, saved every 20 min, from 18 May 2021–31 October 2022. On the south side (SBN-S; 25.208° N, 54.221° E), a bottom-mounted Teledyne RDI Workhorse Sentinel 600 kHz ADCP at <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">18</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> depth used a comparable setup, but due to an equipment malfunction produced two shorter records: 18 May 2021–21 July 2021 and 21 August 2021–19 September 2021.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e539">Temperature data availability by site and depth.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Site</oasis:entry>
         <oasis:entry colname="col2">Depth_m</oasis:entry>
         <oasis:entry colname="col3">StartTime</oasis:entry>
         <oasis:entry colname="col4">EndTime</oasis:entry>
         <oasis:entry colname="col5">N_obs</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">SBN-NW</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">19 May 2021 00:00</oasis:entry>
         <oasis:entry colname="col4">2 September 2021 06:00</oasis:entry>
         <oasis:entry colname="col5">2551</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-NW</oasis:entry>
         <oasis:entry colname="col2">9</oasis:entry>
         <oasis:entry colname="col3">19 May 2021 00:00</oasis:entry>
         <oasis:entry colname="col4">19 September 2021 00:00</oasis:entry>
         <oasis:entry colname="col5">2953</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-NW</oasis:entry>
         <oasis:entry colname="col2">18</oasis:entry>
         <oasis:entry colname="col3">19 May 2021 00:00</oasis:entry>
         <oasis:entry colname="col4">30 October 2022 17:00</oasis:entry>
         <oasis:entry colname="col5">12 714</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-NE</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">1 August 2021 17:00</oasis:entry>
         <oasis:entry colname="col4">17 March 2022 21:00</oasis:entry>
         <oasis:entry colname="col5">5477</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-NE</oasis:entry>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">1 August 2021 17:00</oasis:entry>
         <oasis:entry colname="col4">1 August 2022 00:00</oasis:entry>
         <oasis:entry colname="col5">8744</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-NE</oasis:entry>
         <oasis:entry colname="col2">9</oasis:entry>
         <oasis:entry colname="col3">1 August 2021 17:00</oasis:entry>
         <oasis:entry colname="col4">30 October 2022 17:00</oasis:entry>
         <oasis:entry colname="col5">10 921</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-NE</oasis:entry>
         <oasis:entry colname="col2">12</oasis:entry>
         <oasis:entry colname="col3">1 August 2021 17:00</oasis:entry>
         <oasis:entry colname="col4">30 October 2022 17:00</oasis:entry>
         <oasis:entry colname="col5">10 921</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-S</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">19 May 2021 00:00</oasis:entry>
         <oasis:entry colname="col4">19 September 2021 00:00</oasis:entry>
         <oasis:entry colname="col5">2953</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-S</oasis:entry>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">1 August 2021 17:00</oasis:entry>
         <oasis:entry colname="col4">30 October 2022 17:00</oasis:entry>
         <oasis:entry colname="col5">10 921</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-S</oasis:entry>
         <oasis:entry colname="col2">9</oasis:entry>
         <oasis:entry colname="col3">19 May 2021 00:00</oasis:entry>
         <oasis:entry colname="col4">7 October 2022 12:00</oasis:entry>
         <oasis:entry colname="col5">12 157</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-S</oasis:entry>
         <oasis:entry colname="col2">12</oasis:entry>
         <oasis:entry colname="col3">19 May 2021 00:00</oasis:entry>
         <oasis:entry colname="col4">17 March 2022 21:00</oasis:entry>
         <oasis:entry colname="col5">7270</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-S</oasis:entry>
         <oasis:entry colname="col2">15</oasis:entry>
         <oasis:entry colname="col3">1 August 2021 17:00</oasis:entry>
         <oasis:entry colname="col4">30 October 2022 17:00</oasis:entry>
         <oasis:entry colname="col5">10 921</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SBN-S</oasis:entry>
         <oasis:entry colname="col2">18</oasis:entry>
         <oasis:entry colname="col3">19 May 2021 00:00</oasis:entry>
         <oasis:entry colname="col4">19 September 2021 00:00</oasis:entry>
         <oasis:entry colname="col5">2305</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e818">To characterize the vertical thermal structure at SBN, six moorings equipped with HOBO (TidbiT) temperature loggers were deployed across near-surface to near-bottom depths (refer to Table 1). However, only two arrays were successfully recovered. The SBN-S temperature mooring was co-located with the ADCP frame at <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">18</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> depth, while the SBN-NE mooring was located <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">750</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> offshore at <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">16</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> depth (Fig. 1). Both arrays recorded hourly temperature data from 1 August 2021–30 October 2022. Although the SBN-NW temperature array was not recovered, thermal conditions on the northwest flank were partially reconstructed using an earlier deployment of array of temperature loggers attached to the ADCP frame at nominal depths of 4 and 9 m, which provided hourly data from 19 May–19 September 2021. Earlier temperature records at SBN-S were also incorporated to extend temporal coverage. All records were quality-controlled and harmonized to a common temporal resolution prior to analysis. Details of data availability and integration are provided in Table 1.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Environmental data</title>
      <p id="d2e871">In the absence of in-situ wind observations at Sir Bu Nair (SBN), we used 10 m winds (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) from the ERA5 atmospheric reanalysis for the grid cell enclosing SBN (<uri>https://cds.climate.copernicus.eu/datasets/reanalysis-era5-single-levels?tab=download</uri> (last access: 15 September 2025) (Hersbach et al., 2020). The hourly ERA5 wind fields were extracted for the full mooring period (18 May 2021–31 October 2022), using the nearest 0.25° grid cell without spatial interpolation. All time stamps were converted to a common time base and expressed in local time. Positive (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) points east and positive (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) north.</p>
      <p id="d2e921">To evaluate ERA5 skill for local winds, we compared against the closest available in-situ record from an oceanographic buoy located <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> km southeast of SBN (24.992° N, 54.350° E) (Fig. 1) over 24 April 2025–1 September 2025. Despite the validation period falling outside the mooring window, the analysis indicates strong agreement in vector components (<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.84</mml:mn></mml:mrow></mml:math></inline-formula> (along-axis) and <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula> (cross-axis)), supporting the use of ERA5 as a proxy for local wind forcing at SBN. We therefore use ERA5 winds (and derived wind stress where specified) as the atmospheric driver in the analysis.</p>
      <p id="d2e964">To assess the spatial and temporal representativeness of the observed temperature conditions, we used daily NOAA Coral Reef Watch (CRW) CoralTemp v3.1 SST for 1985–2025 at 5 km spatial resolution (Skirving et al., 2020). CRW SST was first compared with daily mean temperatures from the shallowest in situ sensors at the three SBN sites (Fig. 1). Agreement was strong across the available records (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.964</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.996</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mtext>RMSE</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.57</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), supporting its use to provide longer-term and regional thermal context.</p>
      <p id="d2e1006">We used an analogous approach to assess the spatial and temporal context of the observed circulation using Copernicus Marine Service (CMEMS) current fields for 1993–2025 (Jean-Michel et al., 2021). CMEMS currents have daily temporal and horizontal resolution of <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> around SBN). The uppermost model layer (0.494 m depth) was used to characterize regional surface circulation.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Wind stress calculation</title>
      <p id="d2e1045">Hourly ERA5 10 m winds (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were converted to eastward and northward wind-stress components (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) components using the Eqs.(1 and 2):

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M42" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mi>U</mml:mi><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mi>U</mml:mi><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.225</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> is air density, <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>v</mml:mi><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt></mml:mrow></mml:math></inline-formula> is wind speed, and <inline-formula><mml:math id="M45" 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 neutral drag coefficient following Large–Pond style (Large and Pond, 1981): <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">11</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.065</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mi>U</mml:mi></mml:mrow></mml:math></inline-formula>. We then projected (<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) onto the principal axis obtained from principal component analysis (PCA) to obtain along (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and across (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) components and finally applied the same low-pass filter as for currents. To assess sensitivity to drag-coefficient parameterization and to separate dynamic forcing from simple wind-speed covariance, all analyses were repeated using rotated and filtered wind velocity components (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in place of wind stress.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Time series analysis</title>
      <p id="d2e1391">Raw 20 min Acoustic Doppler Current Profiler (ADCP) ensembles were averaged to hourly eastward (<inline-formula><mml:math id="M54" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>) and northward (<inline-formula><mml:math id="M55" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>) velocity components (<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) prior to analysis. Water level, <inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (m), was derived from the ADCP absolute depth record and averaged to the same resolution. ERA5 winds (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and temperature observations were interpolated onto a common hourly time base. Short gaps (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) were linearly interpolated, whereas longer gaps were retained as missing values and excluded pairwise from subsequent calculations. For characterization of the wind regime, wind-speed percentiles were calculated using a 3 d sliding window, and the median was smoothed using a 9 d moving mean. Linear trends were removed prior to filtering to minimize low-frequency leakage (Thomson and Emery, 2024; Bendat and Piersol, 2011).</p>
      <p id="d2e1469">Subtidal variability was isolated using a 48 h Lanczos digital filter. To account for topographic steering around the island, currents were rotated into along-axis and cross-axis coordinates using the principal axis of variance derived from the low-pass currents. This orientation therefore reflects the dominant subtidal flow relevant to wind-current coupling (Kanarik et al., 2025; Van Der Molen et al., 2022).</p>
      <p id="d2e1472">The barotropic velocity was defined as the depth-mean flow, and the baroclinic component as the deviation from that mean. Kinetic energy was calculated for each component and expressed relative to total kinetic energy (Simpson et al., 1990). Tidal constituents in currents and sea level were estimated using the MATLAB package t_tide (Pawlowicz et al., 2002). In addition, along-axis and cross-axis currents were regressed against sea level (<inline-formula><mml:math id="M61" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>) and its Hilbert transform to estimate amplitude and phase relationships with sea level variability (Piecuch et al., 2022).</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Correlation and lag analysis</title>
      <p id="d2e1490">Linear relationships between wind forcing and currents were quantified using Pearson correlation at zero lag and cross-correlation over lags of <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">72</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. Analyses were performed between along-axis forcing (<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and along-axis currents (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and likewise between cross-axis forcing (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and cross-axis currents (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Lags are reported in hours, with positive values indicating current variations lagging the wind forcing. Pairwise deletion was used where missing values were present. As a sensitivity test, analyses were repeated using three current metrics: the uppermost ADCP bin, the mean of the upper three bins, and the depth-averaged current, to identify the layer exhibiting the strongest wind-driven response.</p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Frequency domain coupling</title>
      <p id="d2e1592">Frequency-domain relationships were examined with Welch spectra and cross-spectra using a 50 % overlap and applied a Hanning filter (Welch, 1967). Magnitude-squared coherence (MSC) was used to quantify frequency-dependent coupling between forcing and response series (Bendat and Piersol, 2011). The complex transfer function between wind stress (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and current response (<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was used to estimate gain H and phase <inline-formula><mml:math id="M73" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>. Gain and phase were interpreted only where MSC exceeded the approximate 95 % confidence level based on the number of independent Welch segments (Elipot and Gille, 2009). Spectral filtering and frequency-domain procedures followed standard methods described by Emery and Thomson (2024).</p>
</sec>
<sec id="Ch1.S2.SS8">
  <label>2.8</label><title>Band-limited variance attribution of thermal structure</title>
      <p id="d2e1654">To assess the relative importance of dynamical drivers, band-pass filtered <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> (temperature difference between 4 and 18 m depth) was regressed against similarly filtered <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and sea level <inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Frequency-band decomposition was performed using fourth-order Butterworth filters applied with zero-phase filtering. Predictor importance was quantified as the reduction in full-model <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> when each predictor was removed in turn (semi-partial variance contribution). These values therefore represent the unique fraction of <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> variance associated with each predictor after accounting for covariance among forcings. Because predictors are partially correlated, contributions are interpreted as variance attribution rather than strict causality (Grömping, 2007; Peres-Neto et al., 2006).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e1749">The results of this study cover various aspects of oceanographic and atmospheric dynamics in the Gulf during the study period, including the analysis of local winds (Sect. 3.1), vertical temperature regimes (Sect. 3.2), absolute water level and current variability (Sect. 3.3), as well as the interactions between currents and wind forcings (Sect. 3.4). The analysis between intense thermal variability events and potential drivers (Sect. 3.5) closes this section.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Local winds</title>
      <p id="d2e1759">The wind regime at Sir Bu Nair (SBN) was quantified from the distribution of 10 m wind speed magnitudes and directional frequencies. Figure 3 shows the annual cycle based on ERA5 data, while Fig. 4 provides the corresponding directional distribution.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1764">Temporal evolution of ERA5 10 m wind speed at Sir Bu Nair, expressed as 5th, 50th, and 95th percentiles computed over the observation period (May 2021–October 2022). Shading denotes the 5 %–95 % range; the black line shows the median for 3 d window; the red curve shows a 9 d moving mean of the median.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f03.png"/>

        </fig>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1775">Wind rose plots at Sir Bu Nair Island for the study period (May 2021–October 2022) grouped by month from January–December. Color scales indicate wind speed magnitude (<inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and the radial axis represents frequency of occurrence (%).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f04.png"/>

        </fig>

      <p id="d2e1802">The 9 d moving mean of the median (red curve, Fig. 3) showed wind speeds fluctuating between 4 and 7 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> throughout the observation period, while the 95th percentile identified discrete peaks in wind magnitude. During winter, these values consistently exceed 10 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. A maximum 95th percentile speed of approximately 15 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was recorded on 21 January 2022, followed by a secondary peak near 13 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on 14 May 2022. The 5th–95th percentile range narrowed notably from June through August, indicating reduced variability in daily wind magnitude.</p>
      <p id="d2e1873">The directional distributions (Fig. 4) showed a bimodal wind field at SBN. The primary mode originated from the Northwest (NW), while a secondary, less frequent mode originated from the Southeast (SE). The highest velocity classes (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><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: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:mrow></mml:math></inline-formula>) were concentrated within the NW quadrant and associated with Shamal winds (“shamal” means north in Arabic). Winds from the SE were predominantly weaker, with most observations within the 3–6 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> range. The NW mode showed the greatest directional stability, particularly during the months when the 95th percentile wind speeds were highest.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Water temperature structure</title>
      <p id="d2e1924">Over the study period, the annual temperature range exceeded 15 <inline-formula><mml:math id="M89" 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> (Fig. 5), with summer temperatures reaching <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">35.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and winter temperatures declining to <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">21.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. Vertical temperature differences were most pronounced in late spring and summer, reaching maxima of 4.8 <inline-formula><mml:math id="M92" 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> at SBN-NW, 4.5 <inline-formula><mml:math id="M93" 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> at SBN-S, and 3.8 <inline-formula><mml:math id="M94" 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> at SBN-NE. These events were transient and occurred across multiple depth sensors, indicating short-lived periods of pronounced thermal stratification superimposed on the seasonal cycle.</p>
      <p id="d2e2000">Across all sites, the highest daily mean temperatures occurred in mid-August 2021, when temperatures exceeded 35.0 <inline-formula><mml:math id="M95" 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> across multiple depths. At SBN-NW, temperatures <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">35.0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> persisted for up to 20 consecutive days, compared with 18 d at SBN-NE and 24 d at SBN-S. Exceedance of 35.5 <inline-formula><mml:math id="M97" 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> was restricted to shallow depths and lasted up to three consecutive days at SBN-S and SBN-NW.</p>
      <p id="d2e2039">The regional analysis showed that the warm conditions observed in 2021 were not restricted to SBN. The 1985–2025 record showed that JAS 2021 was anomalously warm at SBN (mean <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mtext>SST</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">34.02</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> relative to the long-term JAS mean; 95th percentile), whereas JAS 2022 was close to climatological conditions (33.14 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>; 32nd percentile) (Fig. S1 in the Supplement). Spatial SST anomalies showed that the 2021 warming extended across much of the southeastern Gulf, whereas anomalies in 2022 were substantially weaker (Fig. S1).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2105">Hourly temperature time series at the three SBN sites (SBN-NE, SBN-NW, SBN-S) from May 2021–October 2022. Colored lines represent temperature measurements at each nominal depth. </p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Water level and current variability</title>
      <p id="d2e2122">The harmonic analysis results for SBN-NW and SBN-S are summarized in Table 2. The tidal form number, <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula> at both sites, indicating mixed tides with semidiurnal dominance.  <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was the largest constituent (36–37 cm), followed by <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with mean semidiurnal range of <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.74</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:math></inline-formula>. Under constructive interference, the astronomical tidal range could exceed <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</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:math></inline-formula>.</p>
      <p id="d2e2246">Phase differences for the dominant constituents were small between stations, indicating a coherent regional tidal signal. Tidal current ellipses were predominantly rectilinear, with strong currents at SBN-NW than SBN-S Maximum semimajor axes occurred for <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at SBN-NW (15–16 <inline-formula><mml:math id="M111" 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>), compared with <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><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:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at SBN-S. Diurnal constituents were oriented approximately north–south at SBN-NW but were more variable at SBN-S. Shallow-water constituents were small (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> cm), indicating weak tidal distortion at both sites.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2374">Results of the tidal analysis with associated confidence intervals for the two ADCP locations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col7" align="center">SBN-NW </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">WL (cm)/Phase</oasis:entry>
         <oasis:entry colname="col3">Major axis (<inline-formula><mml:math id="M117" 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>)</oasis:entry>
         <oasis:entry colname="col4">Minor axis (<inline-formula><mml:math id="M118" 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>)</oasis:entry>
         <oasis:entry colname="col5">Inclination</oasis:entry>
         <oasis:entry colname="col6">Phase</oasis:entry>
         <oasis:entry colname="col7">SNR</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">36</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">164</oasis:entry>
         <oasis:entry colname="col7">910</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">46</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">202</oasis:entry>
         <oasis:entry colname="col7">230</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mn mathvariant="normal">30</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">146</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mn mathvariant="normal">16</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">178</oasis:entry>
         <oasis:entry colname="col6">70</oasis:entry>
         <oasis:entry colname="col7">860</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">18</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">96</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">177</oasis:entry>
         <oasis:entry colname="col6">66</oasis:entry>
         <oasis:entry colname="col7">55</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">341</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">9</oasis:entry>
         <oasis:entry colname="col6">147</oasis:entry>
         <oasis:entry colname="col7">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">P</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">138</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">180</oasis:entry>
         <oasis:entry colname="col6">72</oasis:entry>
         <oasis:entry colname="col7">47</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mtext>MN</mml:mtext><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">320</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">8</oasis:entry>
         <oasis:entry colname="col6">132</oasis:entry>
         <oasis:entry colname="col7">16</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">358</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">167</oasis:entry>
         <oasis:entry colname="col7">83</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mtext>MS</mml:mtext><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">64</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">206</oasis:entry>
         <oasis:entry colname="col7">19</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col7" align="center">SBN-S </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mn mathvariant="normal">37</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">4</oasis:entry>
         <oasis:entry colname="col6">157</oasis:entry>
         <oasis:entry colname="col7">330</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">14</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">49</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">4</oasis:entry>
         <oasis:entry colname="col6">203</oasis:entry>
         <oasis:entry colname="col7">25</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">31</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">151</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">142</oasis:entry>
         <oasis:entry colname="col6">60</oasis:entry>
         <oasis:entry colname="col7">26</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mn mathvariant="normal">18</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
         <oasis:entry colname="col6">311</oasis:entry>
         <oasis:entry colname="col7">39</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">336</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">4</oasis:entry>
         <oasis:entry colname="col6">141</oasis:entry>
         <oasis:entry colname="col7">14</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">P</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">308</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">177</oasis:entry>
         <oasis:entry colname="col6">198</oasis:entry>
         <oasis:entry colname="col7">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mtext>MN</mml:mtext><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">354</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">178</oasis:entry>
         <oasis:entry colname="col6">229</oasis:entry>
         <oasis:entry colname="col7">81</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">59</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">65</oasis:entry>
         <oasis:entry colname="col7">36</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3577">Currents at SBN-NW and SBN-S exhibited distinct directional structures (Fig. 6). At SBN-NW, flow was strongly aligned along a principal axis oriented <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">29</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>, accounting for <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">94</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the variance and indicating weak cross-axis motion and strong vertical coherence (Fig. 6A and B). At SBN-S, currents were oriented predominantly east–west (<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">91</mml:mn></mml:mrow></mml:math></inline-formula>°), with directional dominance decreasing from <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">85</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> near the bottom to <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">67</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> in the upper layer and greater cross-axis variability (Fig. 6C and D). Upper-layer along-axis currents at SBN-NW reached <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (95th percentile), compared with <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> at SBN-S (Figs. 7 and 8), while cross-axis velocities generally remained within <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">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:mrow></mml:math></inline-formula> at both sites.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3717">Velocity covariance ellipses and principal-axis orientation for SBN-NW and SBN-S. SBN-NW near-bottom <bold>(A)</bold> and near-surface <bold>(B)</bold>. SBN-S near-bottom <bold>(C)</bold> and near-surface <bold>(D)</bold>. Red dots show instantaneous east–north velocity components; blue curves denote the <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> PCA covariance ellipse; dashed black lines indicate the centroid linear fit.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f06.png"/>

        </fig>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3752">SBN-NW time series of the <inline-formula><mml:math id="M196" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>-velocity component (towards 29 °T), <inline-formula><mml:math id="M197" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>-velocity component (towards 119 °T), and sea level with the 48 h low-pass filtered data superimposed on the hourly measurements.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f07.png"/>

        </fig>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3777">SBN-S time series of the <inline-formula><mml:math id="M198" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>-velocity component (towards 91 °T), <inline-formula><mml:math id="M199" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>-velocity component (towards 1.5 °T), and sea level with the 48 h low-pass filtered data superimposed on the hourly measurements.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f08.png"/>

        </fig>

      <p id="d2e3801">The tidal harmonics explained 80 % of the along-axis current variance at SBN-NW but only 35 % of the cross-axis variance. Tidal influence was weaker at SBN-S, explaining 39 % and 12 % of the along and cross-axis variance, respectively. Sea level relationships showed a similar spatial pattern, with stronger coupling at SBN-NW.</p>
      <p id="d2e3804">At the regional scale, the 1993–2025 CMEMS record showed that surface-current speeds during the 2021 observational period were moderately below the long-term mean but remained within historical variability (0.096 versus 0.102 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; 24th percentile) (Fig. S2a). The mean current at SBN-S (0.089 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 78.2°) was broadly consistent with the regional CMEMS flow (0.081 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 98.7°), whereas the mean current at SBN-NW (0.1 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 26.6°) was strongly rotated relative to the regional flow (0.083 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 103.6°) (Fig. S2b–e).</p>
      <p id="d2e3892">Low-pass filtered velocities showed a persistent residual flow of <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> along the principal axis at both sites (Figs. 7 and 8). Subtidal flow was predominantly barotropic, with 94 % and 89 % of the kinetic energy associated with the depth-mean component at SBN-NW and SBN-S, respectively, and strongly anisotropic, with 97 % and 92 % aligned with the principal axis at SBN-NW and SBN-S, respectively. Subtidal kinetic energy was substantially higher at SBN-NW (0.09 <inline-formula><mml:math id="M206" 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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) than at SBN-S (0.01 <inline-formula><mml:math id="M207" 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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Currents and wind dynamics</title>
      <p id="d2e3971">Wind–current relationships were evaluated for along- and cross-axis currents using wind stress and velocity, considering depth-averaged currents and the average of the top three ADCP bins, with representative cases shown in Fig. 9. Results were insensitive to 40–48 h filter cutoffs and consistent across seasonal windows (not shown).</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3976">Wind–current relationships at SBN-NW and SBN-S based on the average of the top three ADCP bins. Lagged correlation between wind and currents for the across-axis at SBN-NW <bold>(a)</bold> and along-axis at SBN-S <bold>(b)</bold>. Positive lag indicates currents near-synchronous responding after wind forcing. Magnitude-squared coherence as a function of period at SBN-NW <bold>(c)</bold> and SBN-S <bold>(d)</bold>. The dashed vertical line indicating the low-pass (LP) cutoff at 48 h. Transfer function estimates showing gain (blue) and phase (orange) at SBN-NW <bold>(e)</bold> and SBN-S <bold>(f)</bold>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f09.png"/>

        </fig>

      <p id="d2e4004">Wind forcing showed a moderate relationship with the residual currents. At SBN-NW, the strongest relationship occurred in the cross-axis component, with correlated reaching <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula> for wind velocity and <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.50</mml:mn></mml:mrow></mml:math></inline-formula> for wind stress at <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> lag (Fig. 9a). At SBN-S, coupling was weaker and occurred primarily along-axis (<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula> for wind velocity; Fig. 9b), while cross-axis correlations were negligible.</p>
      <p id="d2e4058">Wind–current coherence increased at subtidal periods, particularly between 3 and 8 d. At SBN-NW, cross-axis coherence reached 0.4–0.5 (Fig. 9c), whereas at SBN-S, along-axis coherence reached <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> (Fig. 9d). Transfer functions showed a corresponding increase in gain at 2–8 d periods for these components, with phase estimates corresponding to hour-scale lags (Fig. 9e and f). Overall, wind coupling was strongest in the cross-axis currents at SBN-NW, with a weaker but detectable along-axis response at SBN-S.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Vertical thermal variability and associated physical forcing</title>
      <p id="d2e4079">At SBN-S, the surface-to-bottom temperature difference (<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) increased during spring and summer and repeatedly decreased towards zero, whereas autumn and winter were characterized by small and occasionally negative differences (Fig. 10). These transitions occurred during both warm seasons (2021 and 2022), indicating recurrent thermal variability. A period of pronounced vertical thermal variability from 20 May–25 June 2021 was selected for detailed analysis because concurrent observations were available at both SBN-NW and SBN-S (Fig. 11).</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e4094">Vertical temperature difference (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) at SBN-S from May 2021–October 2022. Hourly values are shown together with the 24 h running mean. The shaded area indicates the 20 May–25 June 2021 case-study interval used for the detailed analysis of vertical thermal variability.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f10.png"/>

        </fig>

      <p id="d2e4113">Both sites were strongly thermally stratified before <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> June, interrupted by a brief weakening around 28–29 May followed by rapid re-establishment of vertical temperature differences. Temperatures then converged across depths over <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> days around 10–12 June, producing near-thermal homogeneity at both sites (Fig. 11), although higher-frequency variability was more pronounced at SBN-NW. Before this transition, vertical temperature differences (<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</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:math></inline-formula>) were generally <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and occasionally exceeded 4 <inline-formula><mml:math id="M219" 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>, with surface temperatures of <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">32</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">33</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> overlying bottom temperatures of <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">28</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e4236">Representative episode of strong vertical thermal variability at SBN-NW and SBN-S. Left column: (top) near-surface to near-bottom temperature difference (<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>); (middle and bottom) temperature time series at instrumented depths (6 h moving mean) for SBN-NW and SBN-S, respectively. Right column: corresponding depth–time temperature fields derived from the discrete sensors at each site. Contour plots are used to synthesize the vertical structure from discrete depth measurements.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f11.png"/>

        </fig>

      <p id="d2e4267">During this period, along-axis currents at SBN-NW frequently exceeded 0.3 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and were vertically coherence, with episodic intensification throughout the water column (Fig. 12a and c). At SBN-S, currents were weaker (<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) and less vertically coherence (Fig. 12b and d). Progressive vector diagrams showed stronger, more directional northeastward displacement at SBN-NW, whereas trajectories at SBN-S were weaker, more dispersed, and predominantly eastward (Fig. 13b).</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e4312">Low-pass filtered currents correspond to SBN-NW <bold>(a, c)</bold>, and to SBN-S <bold>(b, d)</bold>. The upper panels <bold>(a, b)</bold> show depth–time distributions of along-axis velocity, obtained by rotating the velocity field onto the principal axis of variability (PCA), which defines the dominant flow direction. The panels <bold>(c, d)</bold> present time series at selected depths from the bottom (3, 7, and 14 m).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f12.png"/>

        </fig>

      <fig id="F13" specific-use="star"><label>Figure 13</label><caption><p id="d2e4335">Progressive vector diagrams of the hourly ADCP currents at SBN-NW <bold>(a)</bold> and SBN-S <bold>(b)</bold>, for selected depths (3, 7, and 14 m), for the period 20 May–26 June 2021.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f13.png"/>

        </fig>

      <p id="d2e4350">Spectral analysis of (<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) showed similar frequency-dependent variability at both sites (Fig. 14a), with most energy at lower frequencies (2–4 d), a pronounced diurnal peak (<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cph</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), and a smaller semidiurnal peak. The diurnal and lower-frequency signals were also evident in the full-record SBN-S spectrum (Fig. S3). Sea level (<inline-formula><mml:math id="M227" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>) and currents showed pronounced variability at tidal frequencies, with site and component-specific differences, whereas wind stress was dominated by lower-frequency variability (Fig. 14b and c).</p>

      <fig id="F14" specific-use="star"><label>Figure 14</label><caption><p id="d2e4387">Power spectral density (PSD) of vertical temperature difference (<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</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:math></inline-formula>) at SBN-NW (black) and SBN-S (blue) <bold>(a)</bold>. PSD of forcing components projected onto the local principal axes at SBN-NW <bold>(b)</bold> and SBN-S <bold>(c)</bold>, including along- and across-axis wind stress (<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), current velocity (<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and sea level (<inline-formula><mml:math id="M233" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>). Vertical dashed lines indicate characteristic bands (2–4 d, diurnal, semidiurnal).</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f14.png"/>

        </fig>

      <p id="d2e4479">At SBN-NW, coherence with <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> was strongest in the diurnal band, reaching <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn></mml:mrow></mml:math></inline-formula> for cross-axis wind stress (<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and along-axis currents (<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), with lower coherence for sea level (<inline-formula><mml:math id="M238" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>), and along-axis wind stress (<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) (Fig. 15a). Cross-spectral density was also largest in this band, particularly for <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 15c). At SBN-S, diurnal coherence was weaker (<inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula>), with correspondingly lower cross-spectral density (Fig. 15b and d).</p>
      <p id="d2e4564">Secondary coherence occurred near semidiurnal frequencies, although <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> spectral energy was small. A quarter-diurnal (<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) signal was evident in the hydrodynamic field, particularly between sea level and along-axis currents at SBN-NW (coherence <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.50</mml:mn></mml:mrow></mml:math></inline-formula>), but its coherence with <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> remained <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula>. Coherence at the 2–4 d periods was generally modest. Significant diurnal relationships corresponded to phase-derived lags of a few hours.</p>

      <fig id="F15" specific-use="star"><label>Figure 15</label><caption><p id="d2e4620">Magnitude-squared coherence and cross-spectral density magnitude between <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> (18-4 m) and forcing components at SBN-NW <bold>(a, c)</bold> and SBN-S <bold>(b, d)</bold>. Wind forcing is represented by along- and across-axis wind stress (<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), then current velocity (<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and sea level (<inline-formula><mml:math id="M251" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>). Dashed vertical lines indicate the 2–4 d, diurnal, and semidiurnal bands, and the horizontal dashed line marks the 95 % coherence significance threshold.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f15.png"/>

        </fig>

      <p id="d2e4693">Band-limited variance partitioning showed that <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> variability was greatest in the diurnal band, followed by the 2–4 d and semidiurnal bands (Fig. 16). At SBN-NW, the diurnal band explained 67 % of <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> variance, with the largest unique contributions from cross-axis wind stress (<inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; 9.8 %) and along-axis currents (<inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; 8.8 %). The 2–4 d band explained 39 %, with sea level providing the largest unique contribution (12 %), whereas the semidiurnal band explained 31 % and was primarily associated with currents (Fig. 16a and c).</p>

      <fig id="F16" specific-use="star"><label>Figure 16</label><caption><p id="d2e4741">Unique variance explained in <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> by individual forcing components (wind stress: <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; along- and across-axis currents: <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; sea level: (<inline-formula><mml:math id="M261" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>) expressed as percentage of total <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> variance at SBN-NW <bold>(a)</bold> and SBN-S <bold>(b)</bold>; <bold>(c)</bold> Total explained variance of <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">%</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for the full model in the 2–4 d, diurnal, and semidiurnal bands. Contributions were calculated as the reduction in full-model <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> when each predictor was omitted.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/3165/2026/os-22-3165-2026-f16.png"/>

        </fig>

      <p id="d2e4859">At SBN-S, the diurnal band explained 54 % of <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> variance, with the largest unique contribution from along-axis wind stress (<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; 14.5 %), sea level (<inline-formula><mml:math id="M267" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>; 11.1 %). The 2–4 d band explained 36 %, again with the sea level providing the largest unique contribution (12 %), while the semidiurnal band explained 16 % (Fig. 16b and c).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion and conclusions</title>
      <p id="d2e4899">Despite instrument loss and associated data gaps, the multi-instrument observations provided the most comprehensive physical oceanographic description of SBN to date, and probably anywhere else in the southern Gulf. The results identified the dominant physical influences on local circulation and characterized the vertical thermal structure and episodic transitions between stratified and thermally homogeneous conditions around the island.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Principal circulation regime around Sir Bu Nair Island</title>
      <p id="d2e4909">The observations provide the first integrated description of circulation around Sir Bu Nair Island (SBN) and show that local hydrodynamics reflect the interaction between tidal forcing, regional circulation, and the island's steep surrounding bathymetry. At both mooring sites, currents were highly anisotropic and aligned with a dominant principal axis, indicating rectilinear flow strongly influenced by local bathymetry rather than freely rotating shelf circulation.</p>
      <p id="d2e4912">At SBN-NW, upper-layer along-axis currents commonly reached <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, with episodic peaks approaching 0.8–1.0 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, consistent with values reported from a shorter deployment (Cavalcante et al., 2024). Currents at SBN-S were weaker, commonly reaching <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. This directional asymmetry is typical of island and reef environments where tidal and residual flows can be steered by bathymetry gradients and coastline geometry into preferred pathways (Lowe and Falter, 2015; Wolanski and Hamner, 1988). The regional CMEMS comparison further showed that the mean flow at SBN-S was broadly aligned with the regional circulation, whereas the flow at SBN-NW was strongly rotated relative to the regional field. This contrast was consistent with substantial local modification of the regional flow around the island. Circulation around SBN therefore cannot be represented by a single island-scale state but varied substantially between adjacent flanks.</p>
      <p id="d2e4978">Subtidal currents were also predominantly barotropic, with most kinetic energy contained in the depth-mean flow and concentrated along the principal axis, indicating that the rectilinear circulation pattern persisted at lower frequencies. This vertically coherent flow is consistent with previous Gulf studies showing that tidal shear, bottom friction, and shallow bathymetry promote strong mixing and depth-uniform currents over broad areas of the basin (Alosairi and Pokavanich, 2017; Kämpf and Sadrinasab, 2006; Salim et al., 2024; Cavalcante et al., 2012). Periods of thermal stratification in late spring and summer, however, were accompanied by increased vertical differentiation in the flow, particularly from late May to mid-June 2021 (Fig. 11). During these periods, surface waters were 2–4 <inline-formula><mml:math id="M271" 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> warmer than bottom waters and vertical shear increased.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Relative roles of tides and wind forcing</title>
      <p id="d2e4999">Tidal forcing was the primary driver of current variability at SBN, particularly along the principal flow axis. Harmonic analysis showed that tidal constituents explained <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the along-axis variance at SBN-NW, but only <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the cross-axis variance. At SBN-S, tidal control was weaker, accounting for <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">39</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the along-axis and <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the cross-axis variance. Spectral analyses further showed that the principal tidal energy was concentrated in the diurnal and semidiurnal bands, consistent with previous Gulf-wide studies (Reynolds, 1993; Cavalcante et al., 2011), although both peaks were less pronounced at SBN-S.</p>
      <p id="d2e5054">This interpretation was reinforced by the coherence and phase relationships between sea level and currents. At SBN-NW, sea level was strongly coherent with along-axis currents in both the diurnal and semidiurnal bands, while cross-axis currents also exhibited substantial coherence, consistent with local modification of the tidal flow around the island. At SBN-S, the strongest coupling occurred in the semidiurnal along-axis band, whereas other bands were weaker and more variable. Together with the stronger current amplitudes and directional organization at SBN-NW, these results indicated more energetic and organized tidal exchange at SBN-NW than at SBN-S.</p>
      <p id="d2e5057">A secondary quarter-diurnal peak (<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.161</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cph</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) was also present in the spectra. Previous work interpreted this feature as possible seiche activity around SBN (Cavalcante et al., 2024). However, its coincidence with the expected <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">M</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> overtide of the dominant semidiurnal tide, together with its weak association with <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> in the present analysis, was more consistent with nonlinear tidal harmonic generation around the island and adjacent shoals. By contrast, energy near the 25–26 h period identified from multi-year Gulf sea level records is more consistent with previously proposed Gulf-scale seiche dynamics (Afshar-Kaveh et al., 2020). Thus, although tides dominated currents and sea level variability, they did not fully explain the observed current variability, particularly in the cross-axis component and at subtidal timescales.</p>
      <p id="d2e5106">Wind forcing emerged as an important secondary influence within this tide-dominated regime. The clearest responses occurred in the cross-axis flow at SBN-NW and the along-axis flow at SBN-S, where correlations peaked at short lags (0–2 h) and coherence increased at subtidal periods of 3–8 d. These responses were consistent with synoptic timescales of Shamal variability (Al Senafi and Anis, 2015; Makarem et al., 2026), which influences Gulf circulation and sea level setup (Thoppil and Hogan, 2010; Kämpf and Sadrinasab, 2006; Pous et al., 2004; Reynolds, 1993). Although secondary to tides, wind forcing could therefore have modified residual transport pathways around SBN (Cavalcante et al., 2020). The short response times were consistent with rapid local barotropic adjustment through wind-driven setup/set-down and associated pressure gradients, rather than a classical offshore Ekman response.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Mechanisms of episodic thermal homogenization</title>
      <p id="d2e5117">The repeated development and rapid reduction, typically over 2–3 d, of vertical temperature differences at SBN characterized a highly dynamic thermal regime. During the May–June 2021 event (Fig. 11), <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> exceeded 4 <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> before temperatures converged rapidly across the observed depths, indicating an abrupt thermal homogenization rather than gradual erosion of the vertical temperature gradient. Comparable episodes occurred across all three mooring locations during 2021–2022, with vertical temperature differences commonly reaching 2–4 <inline-formula><mml:math id="M282" 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>, indicating that these transitions were not restricted to individual sites. Their seasonal timing was consistent with strong late spring and summer surface heating in the Gulf (Burt and Paparella, 2024; Paparella et al., 2019), which promotes the development of warm surface waters over cooler deeper layers, as previously observed around SBN (Cavalcante et al., 2024).</p>
      <p id="d2e5150">The persistence of large vertical temperature differences despite energetic tides indicated that tidal stirring alone was insufficient to suppress summer thermal stratification. Within the diurnal band, <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> variability was associated with both current and atmospheric variability. Coherence and variance partitioning (Figs. 15 and 16) showed particularly strong associations at SBN-NW between <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>, cross-axis wind stress (<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and along-axis currents (<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). The diurnal band explained 67 % of <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> variance at SBN-NW and 54 % at SBN-S. These relationships indicated that diurnal variability in wind forcing and currents was closely associated with changes in vertical thermal structure, superimposed on the tidally energetic background circulation.</p>
      <p id="d2e5205">At lower frequencies, the 2–4 d band accounted for 36 %–39 % of <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> variance at both sites, with sea level (<inline-formula><mml:math id="M289" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>) providing the largest unique contribution (<inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; Fig. 16). This timescale overlapped with synoptic wind variability in the Gulf, including Shamal events, suggesting that atmospheric forcing and associated sea-level and current adjustments may have contributed to the development and subsequent reduction of vertical temperature gradients. The rapid, near-synchronous convergence of temperatures across observed depths during the June 2021 event (Fig. 11) indicated a rapid transition toward thermal homogeneity, but the absence of concurrent salinity observations prevented assessment of density stratification and limited our ability to distinguish among vertical mixing, horizontal advection, or their combined effects. The observed variability therefore suggested an interaction between lower-frequency preconditioning and shorter-timescale tidal and atmospheric forcing, rather than control by a single mechanism.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Ecological implications</title>
      <p id="d2e5247">Over the past decade, coral reefs across much of the southern Gulf have declined following recurrent marine heatwaves, with losses of more than 80 % of live coral documented in some areas (Burt, 2024). SBN stands out in this context, with only one bleaching event recorded over the same period, comparatively modest coral losses, and the only known large stands of heat-sensitive <italic>Acropora</italic> table corals remaining in the southern Gulf after their extirpation elsewhere in the region (Hadj-Hammou et al., 2025). The hydrodynamic setting identified here may contribute to this relative resilience. thermal exposure across reef depths was strongly modulated by vertical temperature variability</p>
      <p id="d2e5253">SBN's offshore location (<inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) reduces its exposure to coastal anthropogenic pressures (Howells et al., 2020; Hadj-Hammou et al., 2025), while our results showed that thermal exposure across reef depths was strongly modulated by vertical temperature variability. During summer 2021, <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mtext>temperatures</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> persisted for up to 24 consecutive days (Fig. 5). Under these conditions, energetic tidal currents were insufficient to prevent persistent vertical temperature gradients and prolonged exposure of shallow reef habitats to high temperatures. This period coincided with the first recorded bleaching event at SBN and losses of heat-sensitive <italic>Acropora</italic> species (Hadj-Hammou et al., 2025).</p>
      <p id="d2e5291">These observations suggest an important relationship between physical forcing and reef thermal exposure at SBN. Under typical summer conditions, episodic wind forcing may contribute to the disruption of vertical temperature gradients and exchange between cooler subsurface waters and shallow reef habitats, potentially reducing cumulative thermal stress (Paparella et al., 2019; Yao and Johns, 2010b). Conversely, prolonged weak-wind conditions may favour the persistence of strong vertical temperature gradientsand heat retention in the shallow reef zone, increasing exposure to temperatures associated with bleaching. The potential role of wind forcing in modulating reef thermal exposure may become increasingly relevant under climate change, given the reported decline in summer Shamal frequency since the mid-1990s (Al Senafi and Anis, 2015), and increasingly recurrent bleaching events across Gulf reefs (Riegl et al., 2018).</p>
      <p id="d2e5294">Spatial variability in circulation may also influences SBN's role in regional connectivity. Previous modelling studies identified SBN as a potential larval source for degraded reefs along the southern Gulf coast (Riegl et al., 2017; Cavalcante et al., 2016). The present observations provide physical context for this interpretation, showing substantial differences in current strength and direction between adjacent island flanks and in their relationship with the regional circulation. Such spatial heterogeneity is likely to influence pathways of larval export and retention around the island. SBN's capacity to function as both a relative thermal refuge and a source of larvae therefore likely depends on the interaction between regional and locally modified circulation and episodic thermal stress.</p>
      <p id="d2e5298">Overall, circulation and thermal variability at SBN reflected a hierarchy of interacting processes, with tides establishing the dominant current variability and flow structure, and wind and lower-frequency sea level and current variability associated with changes in residual circulation and vertical thermal structure. Together with strong topographic steering, these interacting processes produced spatially and temporally heterogeneous conditions around the island, with implications for physical exchange, thermal exposure, and reef connectivity.</p>
</sec>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e5307">The bathymetry data in Fig. 1 was retrieved from the GEBCO website: <uri>https://download.gebco.net/</uri> (last access: 10 March 2026). ERA5 atmospheric reanalysis data were obtained from the Copernicus Climate Data Store (CDS) (Hersbach et al., 2020) and are publicly available at: <uri>https://cds.climate.copernicus.eu/datasets/reanalysis-era5-single-levels?tab=download</uri> (last access: 15 September 2025). The in-situ data (ADCP, HOBO and winds) can be provided by the corresponding author upon request. TPXO10-atlas global tidal model data used to generate the tidal constituent maps were obtained from the TPXO global tidal solutions (Egbert and Erofeeva, 2002) and are publicly available at: <uri>https://www.tpxo.net/global</uri> (last access: 8 August 2025). The SST data were obtained from NOAA CRW and are available at: <uri>https://www.star.nesdis.noaa.gov/pub/socd/mecb/crw/data/5km/v3.1_op/nc/v1.0/daily/sst/</uri> (last access: 25 August 2026). The CMEMS data used to evaluate the spatial and temporal circulation is available at: <uri>https://data.marine.copernicus.eu/product/GLOBAL_MULTIYEAR_PHY_001_030/files?subdataset=cmems_mod_glo_phy_my_0.083deg_P1D-m_202311</uri> (last access: 26 August 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5325">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/os-22-3165-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/os-22-3165-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5334">GHC: Conceptualization, Methodology, Investigation, Visualization, Formal analysis, Funding acquisition, Writing – original draft, Writing – review and editing. FV: Investigation, Writing – review and editing. RB: Investigation, Writing – review and editing. AB: Methodology, Investigation, Funding acquisition, Writing – review and editing. JAB: Conceptualization, Methodology, Investigation, Writing – review and editing. All authors took part in the extensive discussion of the results and provided expertise and insight to the conclusions from their areas of expertise.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5340">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e5346">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e5352">The authors acknowledge the outstanding support of Mubadala Arabian Center for Climate and Environmental Sciences for providing the logistics support for the fieldwork activities. The anonymous reviewers of the first versions of this publication are kindly acknowledged for their comments. The authors also acknowledge the Environment and Protected Areas Authority – Sharjah, for granting research permits to conduct this study. In additional, the author acknowledges the creators of ChatGPT used to improve the English writing in some parts of this manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5358">This work was supported by the American University of Sharjah, United Arab Emirates (grant no. FRG21-M-S24). G. H. Cavalcante thanks CNPq (National Council for Scientific and Technological Development) for the Research Fellowship (grant no. 306370/2023-9). GC, RB and JB were supported by funding from the Mubadala Foundation under the NYUAD Research Institute grant CG009 to Mubadala ACCESS, and their support is greatly appreciated.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5364">This paper was edited by Katsuro Katsumata and reviewed by Bernhard Riegl and one anonymous referee.</p>
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