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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">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-22-209-2026</article-id><title-group><article-title>Observations of tracer ventilation in the Cape Basin, Agulhas Current Retroflection</article-title><alt-title>Observations of tracer ventilation in the Cape Basin, Agulhas Current Retroflection</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Koets</surname><given-names>Renske</given-names></name>
          <email>renske.koets@gmail.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Swart</surname><given-names>Sebastiaan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2251-8826</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Donohue</surname><given-names>Kathleen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>du Plessis</surname><given-names>Marcel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2759-2467</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Marine Sciences, University of Gothenburg, Gothenburg, Sweden</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Oceanography, University of Cape Town, Rondebosch, South Africa</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Graduate School of Oceanography, University of Rhode Island, Narragansett, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Renske Koets (renske.koets@gmail.com)</corresp></author-notes><pub-date><day>20</day><month>January</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>1</issue>
      <fpage>209</fpage><lpage>224</lpage>
      <history>
        <date date-type="received"><day>30</day><month>June</month><year>2025</year></date>
           <date date-type="rev-request"><day>10</day><month>July</month><year>2025</year></date>
           <date date-type="accepted"><day>10</day><month>December</month><year>2025</year></date>
           <date date-type="rev-recd"><day>1</day><month>December</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Renske Koets 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/22/209/2026/os-22-209-2026.html">This article is available from https://os.copernicus.org/articles/22/209/2026/os-22-209-2026.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/22/209/2026/os-22-209-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e121">The Cape Basin is a highly dynamic region, strongly influenced by the Agulhas Retroflection and its associated ring shedding. The region is characterized by high eddy kinetic energy, amplified mixing and water mass transformation. While model studies have shown that meso- to submesoscale features enhance water mass formation and tracer stirring, there have been limited observations made at the required spatiotemporal scales to capture such stirring and mixing processes. This study integrates high-resolution glider observations with satellite data to indicate the presence of shear-driven instabilities occurring at submesoscale fronts that enhance vertical diapycnal transport, leading to low apparent oxygen utilization and high levels of particulate organic carbon in the deeper ocean. These tracers are then distributed within the ocean interior via mesoscale advection and stirring along isopycnals, providing observational evidence for the role of the meso- to submesoscale strain field in surface to ocean interior water mass transformation and their broader implications on ocean circulation.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Science Foundation</funding-source>
<award-id>2148676</award-id>
<award-id>2148677</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Knut och Alice Wallenbergs Stiftelse</funding-source>
<award-id>WAF 2015.0186</award-id>
</award-group>
<award-group id="gs3">
<funding-source>European Research Council</funding-source>
<award-id>101118693</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Natural Environment Research Council</funding-source>
<award-id>NE/X006468/1</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="d2e133">The Agulhas Current is a key component of the global ocean circulation, facilitating the exchange of heat and salt between the Indian and Atlantic Ocean <xref ref-type="bibr" rid="bib1.bibx4" id="paren.1"/>. Following the eastern coastline of South Africa, the current reaches the southern tip of the continent, where it changes direction and loops back into the Indian Ocean as the Agulhas Return Current – known as the Retroflection. At the Retroflection, a portion of the Agulhas Current sheds off and “leaks” into the Atlantic Ocean. The shedding of Agulhas eddies, rings and filaments bring the warm, saline waters from the Indian Ocean into the cooler, fresher waters of the Atlantic Ocean. The Agulhas leakage provides a pathway for warm and salty waters to enter the Atlantic Ocean, contributing to the Atlantic Meridional Overturning Circulation (AMOC), making this region important for the global climate <xref ref-type="bibr" rid="bib1.bibx48" id="paren.2"/>.</p>
      <p id="d2e142">The interaction of the Agulhas Current with regional topography generates meanders and mesoscale features that contribute to elevated eddy kinetic energy (EKE). These EKE values are comparable to those found in western boundary extensions and hot spots of the ACC, where strong mesoscale dynamics enhance mixing and ventilation by facilitating tracer exchange between the surface and interior ocean <xref ref-type="bibr" rid="bib1.bibx16" id="paren.3"/>. Regions of high EKE and strong mesoscale activity often coincide with enhanced strain fields and frontal structures <xref ref-type="bibr" rid="bib1.bibx7" id="paren.4"/>. To identify these regions of high strain, the Finite-Size Lyapunov Exponent (FSLE) is used as a Lagrangian diagnostic to locate where water parcels converge or diverge, marking transport barriers and pathways for tracer dispersion in the ocean <xref ref-type="bibr" rid="bib1.bibx17" id="paren.5"/>.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e156"><bold>(a)</bold> Sea Surface Temperature (SST), <bold>(b)</bold> Eddy Kinetic Energy (EKE), and <bold>(c)</bold> occurence of Finite-Size Lyapunov Exponent (FSLE) <inline-formula><mml:math id="M1" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.3, averaged over the glider deployment (22 March to 23 May 2023). Seaglider trajectory is shown in blue. Green and red dots mark the start and end of the glider mission. Contours indicate Absolute Dynamic Topography (ADT, <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">dyn</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), with the thick black line (0.7 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">dyn</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) representing the core of the Agulhas Current, Retroflection, and Rings.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026-f01.jpg"/>

      </fig>

      <p id="d2e203">A key region where these dynamics are particularly pronounced is the Agulhas Retroflection, which is characterized by strong temperature gradients and elevated EKE, closely aligned with sharp frontal structures, as indicated by high FSLE values (Fig. <xref ref-type="fig" rid="F1"/>). These energetic mesoscale features are expected to play an important role in ventilation and water mass transformation <xref ref-type="bibr" rid="bib1.bibx40" id="paren.6"/>. Yet, directly observing the fine-scale mechanisms driving ventilation and tracer transport remains challenging due to the high spatial and temporal resolution required to resolve such processes.</p>
      <p id="d2e211">Ventilation in the Cape Basin is likely driven by a spectrum of flow regimes, ranging from quasi-geostrophic flows with low Rossby numbers that primarily induce isopycnal stirring along density surfaces, to more turbulent flows with high Rossby numbers that promote vertical mixing <xref ref-type="bibr" rid="bib1.bibx8" id="paren.7"/>. Submesoscale flows, with small horizontal and vertical scales (<inline-formula><mml:math id="M4" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), play a key role in these processes, enhancing both lateral and vertical transport of tracers to depth <xref ref-type="bibr" rid="bib1.bibx62" id="paren.8"/>. These small-scale flows arise from interactions such as mesoscale eddies <xref ref-type="bibr" rid="bib1.bibx46" id="paren.9"/> and submesoscale fronts <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx53" id="paren.10"/>, driving mixed layer baroclinic instabilities <xref ref-type="bibr" rid="bib1.bibx11" id="paren.11"/>, often associated with strong vertical velocities. In addition, shear instabilities, which result from strong vertical gradients in the horizontal velocity, can further contribute to diapycnal mixing, facilitating the vertical transport of tracers across density layers <xref ref-type="bibr" rid="bib1.bibx58" id="paren.12"/>. These processes provide important pathways for tracer transport across the pycnocline, contributing to ventilation <xref ref-type="bibr" rid="bib1.bibx41" id="paren.13"/>.</p>
      <p id="d2e251">Observations in the Southern and Atlantic Oceans have shown that enhanced ventilation is associated with reduced apparent oxygen utilization (AOU) values at depths far below the mixed layer <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx3 bib1.bibx34" id="paren.14"/>. Low AOU values – those with recent contact with the atmosphere – at depths far removed from the surface suggest the existence of vertical pathways through which surface waters can be transported to deep layers, as respiration in the ocean interior acts as an oxygen sink <xref ref-type="bibr" rid="bib1.bibx15" id="paren.15"/>. Given its reliability as a tracer for ventilation, AOU is used in this study to quantify the vertical and lateral transport in the Cape Basin.</p>
      <p id="d2e260">The strong vertical velocities arising from submesoscale flows, not only facilitate the transport of dissolved oxygen but also influence the vertical redistribution of particles, with shifts in particle size distribution and an enhancement of the vertical movement of particulate organic carbon (POC) across the base of the ocean's euphotic zone <xref ref-type="bibr" rid="bib1.bibx13" id="paren.16"/>. Previous studies suggest that carbon flux is not solely driven by the gravitational sinking of organic matter but is also influenced by physical processes, such as advection and stirring, which transport organic matter to deeper layers of the ocean <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx38 bib1.bibx35 bib1.bibx13" id="paren.17"/>. This vertical redistribution of POC plays a crucial role in the ocean's biological pump, directly impacting the global carbon cycle. By sequestering carbon in the deep ocean, POC transport is an essential component in regulating the atmospheric <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations <xref ref-type="bibr" rid="bib1.bibx30" id="paren.18"/>. Understanding the processes related to the vertical flux of POC is essential for predicting how the biological pump might respond to a changing climate.</p>
      <p id="d2e283">Despite the recognized importance of ventilation, the fine-scale processes governing the exchanges remain poorly observed, and the potential role of ventilation in the Agulhas system is not well understood. To address these knowledge gaps, this study uses high-resolution tracer observations, collected from an underwater glider, deployed during the QUantifying Interocean fluxes in the Cape Cauldron Hotspot of Eddy kinetic energy (QUICCHE) field campaign. Glider-observed physical and biogeochemical variables provide valuable insight into the distribution and intensity of ventilation events occurring in this high EKE region of the Cape Basin.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Glider observations and data processing</title>
      <p id="d2e301">An underwater glider (Seaglider – SG675) was deployed between 22 March to 23 May 2023 (63 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>) within the Cape Basin, SW of South Africa. The glider sampled between the surface and 1000 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, completing 297 profiles and covering a distance of approximately 1650 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F1"/>). The Seaglider was equipped with an unpumped Seabird CT sensor that measured conductivity, temperature, and pressure, an Aanderaa optode 4831 that measured oxygen and Wet Labs ECO puck that measured Chl <inline-formula><mml:math id="M10" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and backscatter at 470 and 700 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e347">To ensure data quality, conservative temperature and salinity outliers were removed using the wrapper function in GliderTools <xref ref-type="bibr" rid="bib1.bibx26" id="paren.19"/>. Within this function, any detected spikes were eliminated using a 5-point rolling median and subsequently smoothed with a Savitzky-Golay filter. Raw data was corrected for sensor thermal-lag using the IOP basestation code that applied a first-order thermistor-response lag <xref ref-type="bibr" rid="bib1.bibx24" id="paren.20"/>. The remaining thermal lag in the final dataset was found negligible, as the absolute difference between the mean of all climbs and dives in conservative temperature and absolute salinity at the thermocline was 0.04 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and 0.015 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. Part of the climb–dive differences may also reflect spatial variability, especially in strong frontal regions. The mixed layer depth (MLD) is defined as the depth <inline-formula><mml:math id="M14" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> at which the difference in potential density referenced to the potential density at 10 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> first exceeds a threshold value of 0.03 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx14" id="paren.21"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Oxygen observations and deriving AOU</title>
      <p id="d2e427">Oxygen is measured by the glider with an Aanderaa Optode 4831. The oxygen dataset is smoothed using a Savitzky-Golay filter with a 2nd order polynomial. The ship CTD is used to calibrate the glider's oxygen measurements during deployment. An offset of 22.28 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is added to the glider's oxygen concentration along the transect.</p>
      <p id="d2e449">AOU is calculated:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M18" display="block"><mml:mrow><mml:mtext>AOU</mml:mtext><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mtext> solubility</mml:mtext><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mtext> observed</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mtext> solubility</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> represents the solubility of oxygen in seawater and <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mtext> observed</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> the observed oxygen concentration measured with the Oxygen Optode 4831. The <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mtext> solubility</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> represents the amount of oxygen that can dissolve in a given volume of seawater depending on temperature, pressure and salinity and is calculated with TEOS-10 (<uri>http://www.teos-10.org/</uri>, last access: 14 July 2025).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Mapping and grid resolution</title>
      <p id="d2e553">The glider data were mapped onto a regular grid with a vertical resolution of 0.5 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and onto a horizontal resolution of 1.5 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. To account for the spatial variability discussed in Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/> and to minimize the effect of glider advection, distance was calculated relative to the surrounding current. From this point onward, this will be referred to as “distance”. After this correction, the cumulative distance was reduced to approximately half of the along-track distance.</p>
      <p id="d2e574">This distance is derived using the horizontal speed of the glider obtained by the Glide Slope Model (GSM) <xref ref-type="bibr" rid="bib1.bibx5" id="paren.22"/> and calculated by averaging the horizontal speed of two consecutive glider measurements and multiplying the result by the time interval, <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>. While <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> was nominally 5 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, occasional clock resets introduced variability. To maintain consistency, <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> was assumed to be 5 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> for the calculations. The GSM-derived distance differed by 3.55 % from the distance obtained using the horizontal speed from the Hydrodynamical Model. Both time and glider positions were interpolated to the horizontal distance grid.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Other glider derived variables</title>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Backscatter and derived POC</title>
      <p id="d2e642">Optical backscatter at two wavelengths, 470 and 700 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, was measured using Wet Labs sensors. Raw backscatter data, provided in counts, were processed into total backscatter (bbp) using GliderTools processing <xref ref-type="bibr" rid="bib1.bibx26" id="paren.23"/>. This processing tool is used to remove profiles with high backscatter values below 300 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth. Subsequently raw sensor counts were calibrated using the manufacturer-provided scale factors and dark counts. Total backscatter was then calculated following the method described by <xref ref-type="bibr" rid="bib1.bibx63" id="text.24"/> and despiked using a 7-point rolling mean filter <xref ref-type="bibr" rid="bib1.bibx10" id="paren.25"/>. The backscatter spectral slope (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>bp</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) was calculated from the despiked backscatter at the two wavelengths following:

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M32" display="block"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>bp</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mtext>bp</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>bp</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e742">Field studies have indicated a trend of an increase in the spectral slope of back scattering <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> with an increase in relative contribution of small-sized particles to the total particle concentration <xref ref-type="bibr" rid="bib1.bibx43" id="paren.26"/>. We use the backscatter slope to qualitatively determine the relative composition of small to large particles below the mixed layer to infer regions of enhanced ventilation.</p>
      <p id="d2e755">The total backscatter at 700 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> (bbp700) is used to estimate large, fast-sinking and small, slow-sinking POC with empirical factors of 37 537 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the mixed layer and 31 519 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> below <xref ref-type="bibr" rid="bib1.bibx59" id="paren.27"/>. This approach assumes a constant bbp700-POC relationship across different regions and negligible effects of plankton decomposition, except for a shift in particle composition between the mixed layer and the deeper ocean <xref ref-type="bibr" rid="bib1.bibx31" id="paren.28"/>.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Instabilities</title>
      <p id="d2e820">Instabilities are characterized by weak vertical stratification <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and an enhancement of the vertical shear <inline-formula><mml:math id="M38" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula>. To assess these instabilities, the geostrophic vertical shear is calculated from the thermal wind balance as

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M39" display="block"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>f</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mi>b</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">φ</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula> is the partial derivative of buoyancy in distance, with <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M43" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx2" id="paren.29"/>.</p>
      <p id="d2e949">The interplay between vertical shear and stratification can be quantified using the Richardson number <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:math></inline-formula>, which indicates the tendency for shear-driven turbulence to develop.

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M46" display="block"><mml:mrow><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msup><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e996"><xref ref-type="bibr" rid="bib1.bibx1" id="text.30"/> defined stratified shear flow as stable for <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, weakly unstable for <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, and unstable for <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula>, where turbulence develops as shear overcomes stratification <xref ref-type="bibr" rid="bib1.bibx47" id="paren.31"/>.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS3">
  <label>2.4.3</label><title>Geostrophic velocity</title>
      <p id="d2e1058">The geostrophic velocity <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is given by

              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M51" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>g</mml:mi><mml:mi>f</mml:mi></mml:mfrac></mml:mstyle><mml:mover accent="true"><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>×</mml:mo><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where the dynamic height anomaly <inline-formula><mml:math id="M52" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> with respect to the surface at a reference pressure of <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>ref</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> is determined from glider data using the TEOS-10 function <monospace>gsw.geostrophy.geo_strf_dyn_height</monospace>. The geostrophic velocity is referenced with the bottom profile and smoothed with a 15 point rolling mean and a Gaussian filter.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS4">
  <label>2.4.4</label><title>Spiciness</title>
      <p id="d2e1137">Spiciness <inline-formula><mml:math id="M54" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is defined through its differential as

              <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M55" display="block"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mi>S</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> is the Conservative Temperature (<inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M58" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> is the Absolute Salinity (<inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is the potential density (<inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) referenced with the surface and

              <disp-formula id="Ch1.Ex1"><mml:math id="M62" display="block"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">ρ</mml:mi></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">ρ</mml:mi></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            represent, respectively, the thermal expansion coefficient (<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">K</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 saline contraction coefficient (<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx51" id="paren.32"/>. A mirror-padded Blackman low-pass filter with a half-width of 0.08 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (41 grid points) is used to improve the signal-to-noise ratio.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Satellite products and FSLE</title>
      <p id="d2e1364">To identify surface-level events that may influence ventilation processes, we have analyzed the Sea Level Anomaly (SLA), from AVISO, with a 0.125° resolution and the Sea Surface Temperature obtained from the Global SST and Sea Ice Analysis, L4 OSTIA, 0.05° daily. Where the SLA is estimated by merging L3 along-track measurements from various altimeter missions.</p>
      <p id="d2e1367">Eddy kinetic energy (EKE) is calculated using the geostrophic velocities from the AVISO product.

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M66" display="block"><mml:mrow><mml:mtext>EKE</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:msup><mml:mi>u</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>v</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are the deviations from the mean (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi>u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mi>v</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx44" id="paren.33"/>.</p>
      <p id="d2e1454">Ageostrophic motions at fronts can be indicated by an increased FSLE <xref ref-type="bibr" rid="bib1.bibx27" id="paren.34"/>. The FSLE is defined as the inverse time of separation of two particles from their initial distance <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to a final distance <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx17" id="paren.35"/>. The particles are advected by altimetry-derived velocities and their trajectories are computed by forward-time <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and backward-time <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> integration of the altimetry velocities. Large timescales of separation of the particles <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> indicates an intense strain field <xref ref-type="bibr" rid="bib1.bibx53" id="paren.36"/>. The separation's growth rate FSLE is defined as:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M75" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>8</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle><mml:mi>ln⁡</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>;</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>9</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>;</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the initial distance between a particle at (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) and its four closest neighbors. <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> corresponds to the spatial resolution of the FSLE grid. <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the final distance between particles. <inline-formula><mml:math id="M80" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is the minimum time (among the 4 particle pairs) to reach the distance <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx54" id="paren.37"/>. FSLE is calculated following the method of <xref ref-type="bibr" rid="bib1.bibx17" id="text.38"/>, using <inline-formula><mml:math id="M82" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M83" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 7 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M86" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> =0.05° (<inline-formula><mml:math id="M87" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 6 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.5° (<inline-formula><mml:math id="M91" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 56 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>). The initial separation <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is set close to the altimetry grid spacing (<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:mfrac></mml:mstyle><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) and smaller than the regional first-baroclinic Rossby radius (<inline-formula><mml:math id="M95" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 25 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx19" id="paren.39"/> to resolve meso- to submesoscale frontal features. The final separation <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is set so that <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M99" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> following the method of <xref ref-type="bibr" rid="bib1.bibx54" id="text.40"/>. This choice ensures that FSLE captures the growth of submesoscale frontal features into larger mesoscale structures, representing the overall strain field. The time integral <inline-formula><mml:math id="M101" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is chosen to align with typical mesoscale mixing timescales observed in the Cape Basin <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx12" id="paren.41"/>. The chosen parameters represent the lower limits permitted by the resolution of altimetry, bringing the FSLE fields closer to glider-scale observations. Parameter sensitivity tests indicate that further reductions in <inline-formula><mml:math id="M102" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> or <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> predominantly enhance noise rather than reveal additional coherent structures. Maximum values of the <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> fields identify divergent and convergent flows, respectively <xref ref-type="bibr" rid="bib1.bibx6" id="paren.42"/>. In particular, intersections of intense converging and diverging FSLE lines identify Lagrangian hyperbolic points, where particles and tracers are simultaneously being stretched along one direction and compressed along the other direction <xref ref-type="bibr" rid="bib1.bibx17" id="paren.43"/>.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1924">Glider sections showing <bold>(a)</bold> conservative temperature, <bold>(b)</bold> absolute salinity and <bold>(c)</bold> AOU. The black dashed lines and arrows indicate instances of low AOU at depths down to 700 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Isopycnals are overlaid using thin black contours, the 27 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> isopycnal is highlighted with a thick blue line and the MLD is depicted with the thick black line. <bold>(d)</bold> Averaged FSLE over a 0.125-degree radius around the gliders position, composed of diverging FSLE (red) stacked onto the converging FSLE (blue). The horizontal buoyancy gradient (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is averaged between 300–700 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth and shown in the gray line. The red dashed lines and arrows indicate yeardays corresponding to the satellite images of FSLE in Fig. <xref ref-type="fig" rid="F3"/>.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Glider-observed ventilation events</title>
      <p id="d2e2008">During the deployment, the glider navigated in the Cape Basin, north of the Agulhas Retroflection. The glider's trajectory was significantly influenced by strong currents in the vicinity of a cyclonic eddy located around 18° E and 38° S. In general, this region is also influenced by filaments and anticyclonic eddies (Agulhas Rings) shedding off from the Agulhas Current, introducing warm and saline Indian Ocean waters into the South Atlantic, resulting in elevated SST (Fig. <xref ref-type="fig" rid="F1"/>a). Using water- mass classification, the glider's observations reveal that these Indian Ocean waters (absolute salinity <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M111" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 35.5 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; conservative temperature CT <inline-formula><mml:math id="M113" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 16 <inline-formula><mml:math id="M114" 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>) are not confined to the surface layers and can be transported along isopyncals to depths of 250 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F2"/>). In the subsurface (50–200 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), they interact with South Atlantic waters (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M118" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 34.7 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, CT <inline-formula><mml:math id="M120" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 13 <inline-formula><mml:math id="M121" 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>), highlighting the role of mesoscale eddies in stirring and redistributing heat and salinity. The strong differences in temperature (<inline-formula><mml:math id="M122" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) and salinity (<inline-formula><mml:math id="M123" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>) between these water masses create strong horizontal <inline-formula><mml:math id="M124" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M125" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> gradients, particularly between 550–620 and 700–750 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track (Fig. <xref ref-type="fig" rid="F2"/>a and b). These thermohaline gradients influence stratification and may further drive isopycnal stirring and shear-induced mixing in the subsurface layers.</p>
      <p id="d2e2176">At intermediate depths (500–700 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), the glider reveals waters of Subantarctic origin with characteristics of Antarctic Intermediate Water (AAIW, <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M129" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 34.6 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx23" id="altparen.44"/>), identified by its salinity minimum. These waters originate north of the Subantarctic Front, where strong wintertime convection ventilates the ocean, allowing AAIW to equilibrate with the atmosphere and become enriched with oxygen before it subducts <xref ref-type="bibr" rid="bib1.bibx61" id="paren.45"/>. Once subducted, this recently ventilated AAIW is advected into the Cape Basin, where it flows beneath the warmer, saltier Agulhas waters and interacts with Agulhas Rings and filaments, which trap and stir the AAIW water masses, and maintaining elevated oxygen levels at intermediate depths <xref ref-type="bibr" rid="bib1.bibx25" id="paren.46"/>. The layering of different watermasses in the Cape Basin is evident in the glider observations (Fig. <xref ref-type="fig" rid="F2"/>a and b), and when combined with mesoscale stirring, generates interleaving structures that can lead to enhanced lateral mixing <xref ref-type="bibr" rid="bib1.bibx49" id="paren.47"/>. This lateral mixing, combined with mesoscale eddy activity, redistributes oxygen-rich water masses and facilitates the vertical exchange across density layers. This is evident in the glider AOU profiles (Fig. <xref ref-type="fig" rid="F2"/>c), where the distribution of oxygen is closely associated with interleaving signals in the T and S properties. When ventilation is limited, AOU is expected to increase with depth, indicating prolonged isolation from the surface, during which oxygen is consumed by respiration and other biological processes <xref ref-type="bibr" rid="bib1.bibx28" id="paren.48"/>. This pattern is not consistently observed across the entire glider section. For instance, at approximately 380, 600, and 780 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track, low AOU values – that have recently been at the surface – are observed to extend from the surface down to 700 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, indicating a well-ventilated region (Fig. <xref ref-type="fig" rid="F2"/>c, black dashed lines and arrows). As these locations align with low-salinity patches at intermediate depths (Fig. <xref ref-type="fig" rid="F2"/>b), they likely correspond to recently ventilated AAIW. In contrast to this broader ventilation pattern, a more localized ventilation event is observed at approximately 80 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track, where low AOU values (50 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) extend to 400 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth over a horizontal distance of only 10 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. This suggests that the isopycnal transport of oxygen-rich waters at this location may result from a small-scale subsurface-intensified eddy or the glider is advected across a narrow filament of distinct water properties.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Linking lateral gradients to subduction</title>
      <p id="d2e2315">We contextualise the ventilation signatures in Fig. <xref ref-type="fig" rid="F2"/> by comparing the glider-measured lateral buoyancy gradients with altimetry-derived FSLE, which demonstrates the mesoscale circulation patterns in Fig. <xref ref-type="fig" rid="F1"/>. The interaction between mesoscale eddies can drive horizontal strain, leading to the deformation of pre-existing buoyancy gradients and thereby intensifying fronts through frontogenesis <xref ref-type="bibr" rid="bib1.bibx53" id="paren.49"/>. These fronts can become unstable, leading to stronger mixing and enhanced vertical motions. These processes are often associated with baroclinic instabilities, where density gradients between water masses drive vertical motions and intensify mixing responsible for the vertical transport of tracers <xref ref-type="bibr" rid="bib1.bibx53" id="paren.50"/>. FSLE can be used as an indicator of the horizontal strain developing at fronts, with elevated values highlighting regions of intensified vertical motions and frontal instabilities.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2330">Maps of altimetry-derived FSLE during the glider deployment. The location of the glider is depicted with a black dot. Geostrophic velocities are represented using the gray vectors. The 0.7 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">dyn</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> SSH contour in black represents the core of the Agulhas Current, Retroflection and its associated Rings.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026-f03.png"/>

        </fig>

      <p id="d2e2350">Satellite altimetry observations reveal maximum diverging FSLE reaching over 2 <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F3"/>) at 405, 465 and 620 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track, indicative of strong frontal structures. At 405 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, this enhanced FSLE coincides with increased horizontal buoyancy gradients observed by the glider between 300–700 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F2"/>d), the depth range associated with ventilation and renewal of intermediate water <xref ref-type="bibr" rid="bib1.bibx23" id="paren.51"/>. Localized FSLE peaks are observed to coincide with tracer subduction, as seen at 400 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track, where pronounced salinity, temperature and AOU gradients indicate vertical transport of tracers reaching 700 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in depth (Fig. <xref ref-type="fig" rid="F2"/>a–c). This aligns with the findings of <xref ref-type="bibr" rid="bib1.bibx7" id="text.52"/>, which demonstrate that enhanced frontal activity from localized strain fields can generate strong tracer gradients at depth.</p>
      <p id="d2e2421">The pronounced FSLE peaks do not always coincide with strong horizontal buoyancy gradients observed by the glider – for example at 465 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in distance (Fig. <xref ref-type="fig" rid="F2"/>d). Although the FSLE parameters were chosen at the lower limits permitted by altimetry to better approach glider scales (Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/>), the temporal and spatial resolution of the FSLE field remain coarser than the glider resolution. As a result, it may not fully resolve sharper, short-term frontal structures observed by the glider or capture immediate short-term surface dynamics. Additionally, surface dynamics may take time to propagate to depth, creating a temporal lag in the events visible at depth. Furthermore, the horizontal buoyancy gradients derived from the glider are likely underestimated, as the glider is largely advected with the background current and does not always cross ocean fronts perpendicularly. A full quantification of cross-frontal gradients requires sampling orthogonal to the front, and oblique sampling can lead to an underestimation of up to 50 %–70 % <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx18 bib1.bibx56 bib1.bibx39" id="paren.53"/>. To partially account for this effect, the distance covered by the glider is adjusted using the Glider Slope Model, as described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>. Nevertheless the current calculation does not account for the full cross-frontal buoyancy gradient, potentially leading to an underestimation of its magnitude in regions where fronts are sampled at an oblique angle.</p>
      <p id="d2e2441">Assessing the regional significance of these localized processes can be done by considering the broader circulation of the Cape Basin. The highest strain fields are observed at the Agulhas Retroflection, indicating strong mesoscale activity in this region (Fig. <xref ref-type="fig" rid="F1"/>). The strong and highly variable strain field in the region of 38° S and 18° E coincides with elevated EKE, indicative of intensified mesoscale turbulence. This suggests that mesoscale instabilities play a key role in driving transport to depth across the Agulhas Retroflection, highlighting how localized strain fields, such as those observed along the glider's track, contribute to larger-scale ventilation and tracer subduction pathways across the Cape Basin.</p>
      <p id="d2e2446">Vertical velocities were derived from the Omega equation <xref ref-type="bibr" rid="bib1.bibx53" id="paren.54"/>, using boundary conditions following <xref ref-type="bibr" rid="bib1.bibx33" id="paren.55"/>. Methods and results are provided in the Supplementary information. Strong vertical velocities <inline-formula><mml:math id="M145" display="inline"><mml:mi mathvariant="script">O</mml:mi></mml:math></inline-formula>(100 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) are generally found in regions with elevated horizontal buoyancy gradients and high Rossby numbers, suggesting the role of submesoscale eddies in tracer subduction (Fig. S1 in the Supplement). These enhanced vertical velocities often coincide with elevated FSLE and low AOU at depths, however this alignment is not consistent throughout the glider section. The glider observations were often orientated along-front rather than cross-front, limiting the accuracy of derivatives such as <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>∂</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>b</mml:mi><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>. Consequently, the calculated vertical velocities are subject to large uncertainties, and the available estimates should be considered indicative rather than quantitative.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2517">Subset of the glider timeseries showing <bold>(a)</bold> AOU, <bold>(b)</bold> spectral slope, where the yellow contour line indicates a spectral slope equal to 4 and <bold>(c)</bold> POC. Isopycnals are overlaid using thin black contours, the 27 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> isopycnal is highlighted with a thick blue line and the MLD is depicted with the thick black line.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026-f04.png"/>

        </fig>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2554">Glider sections of <bold>(a)</bold> Brunt–Väisälä frequency (N2), <bold>(b)</bold> vertical shear, <bold>(c)</bold> Richardson number, with red contour lines indicating <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> and <bold>(d)</bold> geostrophic velocity. Isopycnals are overlaid using thin black contours, the 27 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> isopycnal is highlighted with a thick blue line and the MLD is depicted with the thick black line.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Linking particle size distribution to surface-interior exchange</title>
      <p id="d2e2615">To understand the role of meso- to submesoscale processes on the vertical and horizontal transport of tracers, we focus on a specific subset of the glider transect, spanning 600 to 720 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (yearday 126 to 136) along the glider's track. This period of the glider's trajectory was characterized by intense horizontal buoyancy gradients or fronts, where enhanced subsurface ventilation of AOU was observed. The vertical velocities in Fig. S2 in the Supplement, show an alternating pattern indicative of a secondary circulation driven by frontogenesis, with the strongest downwelling roughly aligned with a strong POC subduction event near 650 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in distance along the glider's track (Fig. <xref ref-type="fig" rid="F4"/>). Within this transect, the MLD exhibits more variability (Fig. <xref ref-type="fig" rid="F5"/>), deepening initially, then shoaling, and deepening again. The lower rates of stratification within the pycnocline beneath the MLD (<inline-formula><mml:math id="M154" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) between 600 and 630 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track (Fig. <xref ref-type="fig" rid="F5"/>a) provides favorable conditions for the exchange of tracers between the surface boundary layer to the deeper ocean interior. Accordingly, the glider observations in Fig. <xref ref-type="fig" rid="F4"/> reveal that AOU, backscatter slope (<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>bp</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), and POC are primarily confined to the mixed layer, yet between 630 to 670 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, diapycnal exchange occurs to about 500 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, where they are then advected along sloping isopycnals between 630 and 710 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> to reach deeper waters.</p>
      <p id="d2e2706">To explain the diapycnal exchange from the mixed layer to deeper layers, we examine a stratified (3 <inline-formula><mml:math id="M161" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> <inline-formula><mml:math id="M163" 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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) layer between 630 and 660 <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track at 80 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth that is surrounded with elevated vertical shear (Fig. <xref ref-type="fig" rid="F5"/>b), suggesting that this region could be prone to growing shear instabilities. This is reinforced by a peak in FSLE at 630 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F2"/>d) and yearday 128 (Fig. <xref ref-type="fig" rid="F3"/>), indicating the presence of an ocean front, that promotes enhanced mixing <xref ref-type="bibr" rid="bib1.bibx22" id="paren.56"/>. Synonymously, Richardson numbers below 10 (red contour in Fig. <xref ref-type="fig" rid="F5"/>c) suggest a transitional regime where stratification weakens, allowing shear instabilities to grow, that could be responsible for driving cross-isopycnal mixing <xref ref-type="bibr" rid="bib1.bibx58" id="paren.57"/>.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2784">Glider sections showing <bold>(a)</bold> AOU, <bold>(b)</bold> POC and <bold>(c)</bold> Spiciness <inline-formula><mml:math id="M167" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> represented in density space.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026-f06.png"/>

        </fig>

      <p id="d2e2810">The downward mixing across isopycnal is supported by the presence of elevated spiciness values observed between 630 and 660 <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track in Fig. <xref ref-type="fig" rid="F6"/>c, indicative of warm, salty water, that is transported across the pycnocline spanning density layers 25.7 to 26.5 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx60" id="paren.58"/>. AOU exhibits a similar pattern between 630 and 660 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, suggesting enhanced turbulence and vertical mixing between density layers 25.7 to 26.5 <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The observed elevated vertical shear in the presence of the ocean front at 630 and 660 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track suggests conditions favorable for generating turbulent mixing of POC across the pycnocline, further enhancing the redistribution of tracers and particles in the upper 400 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F4"/>). A reduction in POC within this generally high POC regime (26 <inline-formula><mml:math id="M174" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 26.5 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) suggests that POC is transported across isopycnals. Once below this shear-influenced region, POC can sink more freely or be redistributed along density surfaces, as demonstrated along the 27.0 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> isopycnal (Fig. <xref ref-type="fig" rid="F4"/>, blue thick contour). Particles that pass through the pycnocline are eventually trapped by a secondary stratified layer at 400 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, corresponding to a density of 27.0 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which acts as a barrier to mixing, limiting further vertical transport, leading to localized accumulation of POC between 80 and 400 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (Fig. <xref ref-type="fig" rid="F4"/>).</p>
      <p id="d2e2981">The cross-isopycnal mixing enhances exchange between the surface boundary layer and the ocean interior between 630 and 660 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's path, providing a pathway for particles to move from the surface towards 400 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth. Elevated AOU values observed below the pycnocline at 80 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth indicate active remineralization of sinking POC, as microbial decomposition depletes oxygen in subducted waters <xref ref-type="bibr" rid="bib1.bibx38" id="paren.59"/>. Upward doming isopycnals between 630–660 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> indicate upwelling, which could potentially bring nutrients to the surface layer, stimulating photosynthesis and biological activity. However, elevated chlorophyll levels were not observed at the surface, nor was chlorophyll detected at depths below 80 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. At the same time, POC concentrations remain elevated at depth but are lower in the mixed layer compared to surrounding regions (Fig. <xref ref-type="fig" rid="F6"/>b), suggesting an enhanced export of POC.</p>
      <p id="d2e3030">Beyond 660 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's path, the enhanced geostrophic velocity – which extends below 500 <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (Fig. <xref ref-type="fig" rid="F5"/>d) – facilitates isopycnal stirring, which contributes to mixing along the density surfaces. As a result, POC is efficiently advected along isopycnals, reaching 800 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in depth (Fig. <xref ref-type="fig" rid="F4"/>c).</p>
      <p id="d2e3061">As discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>, the horizontal buoyancy gradients derived from the glider may be underestimated due to its oblique sampling of ocean fronts. Consequently, the calculated buoyancy gradients, which is used to derive vertical shear and the Richardson number are underestimated. Therefore, the shear instabilities are likely larger than those represented and may have a greater impact on the cross-isopycnal transport than is apparent from the observations.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3068">Glider-mission averaged fields (6 May–16 June) of <bold>(a)</bold> SLA, with red arrows representing the glider depth-averaged current, <bold>(b)</bold> SST, where the dashed contour lines indicate the temperature gradient and <bold>(c)</bold> FSLE. Panels <bold>(d–f)</bold> show zoomed-in views of the black box indicated in panel <bold>(c)</bold>. Geostrophic velocities are represented with the grey vector field. Dots represent the glider trajectory and the color indicates the mean AOU between 300 and 700 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Unveiling small-scale drivers of ventilation dynamics</title>
      <p id="d2e3109">Satellite-derived daily average of SLA, SST and FSLE, between 6 and 16 May 2023 in Fig. <xref ref-type="fig" rid="F7"/>, combined with glider observations from Fig. <xref ref-type="fig" rid="F4"/>, reveal the important role of small-scale flow structures and fronts in driving vertical tracer transport. Around 37.5° S (and between 600–630 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), the glider follows a small anticyclonic trajectory, steered by the background depth-averaged current, as indicated by the red arrows in Fig. <xref ref-type="fig" rid="F7"/>a and d. This small-scale variability in the flow structure is not captured in the satellite images of SLA, due to the low resolution of the AVISO product. However, high variability in temperature and salinity sections suggests that this is a highly dynamic region that can facilitate the interaction and mixing of different water masses. Additionally, elevated EKE and FSLE values were observed in this region (Fig. <xref ref-type="fig" rid="F1"/>), indicative of enhanced vertical and lateral transport of tracers, including AOU to greater depths <xref ref-type="bibr" rid="bib1.bibx15" id="paren.60"/>. At intermediate depths (300–700 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), low mean AOU values of 80 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> were observed, supporting the dynamic interaction that drives vertical transport of surface waters to depth. The glider traverses a high diverging FSLE field at 37.5° S (Fig. <xref ref-type="fig" rid="F7"/>c), making this area prone to frontogenesis <xref ref-type="bibr" rid="bib1.bibx17" id="paren.61"/>. From 600–630 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's track, the glider is passing through a region with significant SST variability (Fig. <xref ref-type="fig" rid="F7"/>e) and sharp SST gradients of approximately 0.4 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</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>, as indicated by the dashed contour lines in (Fig. <xref ref-type="fig" rid="F7"/>b and e). These surface gradients also extend to depth (Fig. <xref ref-type="fig" rid="F2"/>a). These subsurface gradients are likely to enhance vertical transport of tracers by driving localized turbulence, facilitating mixing across density layers <xref ref-type="bibr" rid="bib1.bibx64" id="paren.62"/>. This process is evident in our observations, where pronounced cross-isopycnal transport occurs near these strong fronts (Fig. <xref ref-type="fig" rid="F6"/>).</p>
      <p id="d2e3203">Continuing the trajectory from 630 to 660 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the glider's path, the glider enters a transitional regime where we find elevated AOU values of 120 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> averaged between intermediate depths (300–700 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) in Fig. <xref ref-type="fig" rid="F7"/>. The glider samples across sharp SST gradients of approximately 0.6,<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</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>, as indicated by the dashed contour lines in (Fig. <xref ref-type="fig" rid="F7"/>b), crossing the edges of small-scale cyclones and anticyclones. The path begins at the edge of a strong cyclone and progresses northward, eventually reaching the edge of a smaller secondary cyclone that recently split from the larger cyclone south of 37.5° S. This cross-structure sampling captures vertical transport of tracers across density layers 25.7 to 26.5 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F6"/>), consistent with shear instabilities driving localized diapycnal transport (Fig. <xref ref-type="fig" rid="F5"/>). In this regime AOU is accumulated at depths near the stratified layer, where oxygen consumption continues, amplifying the processes of respiration and re-mineralization of organic matter.</p>
      <p id="d2e3286">In contrast, beyond 660 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, the glider primarily follows the edge of a mesoscale eddy and moves along the front. In this regime, vertical tracer transport occurs primarily along tilted isopycnals, rather than through across-isopycnal mixing. The glider is following a path along the edge of the secondary cyclone that is aligned with sharp SST gradients of approximately 0.6,<inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</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>, as indicated by the dashed contour lines in (Fig. <xref ref-type="fig" rid="F7"/>b). Strong geostrophic velocities and elevated depth-averaged current beyond 660 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> suggest the glider experiences a transition from a dynamic, high-energy environment of submesoscale turbulence to a more structured, geostrophic regime dominated by advection along density surfaces.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e3335">Previous studies using high-resolution models have highlighted the role of submesoscale processes in driving ventilation in the Cape Basin <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx50" id="paren.63"/>. <xref ref-type="bibr" rid="bib1.bibx12" id="text.64"/> emphasized the role of shear instabilities and lateral advection in tracer transport in this region, while <xref ref-type="bibr" rid="bib1.bibx50" id="text.65"/> highlighted how submesoscale processes contribute to stronger Agulhas filaments and the enhancement of shear-edge eddies. These processes lead to more vigorous vertical mixing, facilitating the transport of warm, salty Indian Ocean water into the Atlantic, which is crucial for the ventilation of the AMOC. At the same time, observational studies have mainly focused on mesoscale features in the Cape Basin <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx32" id="paren.66"/>, as the detection of submesoscale dynamics requires observations of high spatiotemporal resolution. This study aims to fill this significant gap by analysing high-resolution glider data in the Cape Basin and providing insights into the meso- to submesoscale mechanisms driving ventilation.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3352">3D glider transect of <bold>(a)</bold> AOU and <bold>(b)</bold> POC. The blue, grey, and red lines represent the Sea Level Anamoly (SLA), respectively (<inline-formula><mml:math id="M204" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.5, 0, 0.5) <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/209/2026/os-22-209-2026-f08.png"/>

      </fig>

<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Drivers of ventilation</title>
      <p id="d2e3389">The ventilation observed in this study is found to be driven most likely by a combination of shear instabilities, lateral advection and submesoscale fronts (Fig. <xref ref-type="fig" rid="F8"/>).</p>
      <p id="d2e3394">Shear instabilities emerge as a significant contributor to vertical mixing, driving diapycnal transport (Fig. <xref ref-type="fig" rid="F8"/>). In these regions, Richardson numbers approach zero (Fig. <xref ref-type="fig" rid="F5"/>), and show a reduction in upper ocean stratification. This dynamical regime suggests conditions favorable for enhanced cross-isopycnal mixing and vertical transport, consistent with previous findings on shear instabilities observed in the South China Sea <xref ref-type="bibr" rid="bib1.bibx58" id="paren.67"/>. Additionally, our observations support the model results of <xref ref-type="bibr" rid="bib1.bibx12" id="text.68"/> in the Cape Basin, confirming that shear instabilities are crucial for vertical transport of tracers in this region.</p>
      <p id="d2e3407">Lateral advection plays a crucial role in redistributing tracers along isopycnals. Our observations demonstrate how mesoscale eddies facilitate the transport of AOU and POC along isopycnals. This aligns with previous findings, which highlight how mesoscale eddies and standing meanders enhance submesoscale variability, driving a cascade of energy and momentum that strengthens vertical fluxes and tracer exchange <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx15 bib1.bibx34 bib1.bibx3" id="paren.69"/>. The eddy driven subduction of POC and AOU is concentrated along the edges of these mesoscale eddies, consistent with observations in the North Atlantic <xref ref-type="bibr" rid="bib1.bibx38" id="paren.70"/>, where dynamic eddy flow fields subduct surface waters rich in non-sinking POC from eddy peripheries into the ocean interior.</p>
      <p id="d2e3416">In addition, another key mechanism evident in Fig. <xref ref-type="fig" rid="F8"/> is the role of fronts in cross-isopycnal transport. These fronts, characterized by strong buoyancy, temperature, and salinity gradients, enhance the vertical flux of tracers. Our observations suggest that the combination of elevated EKE and high buoyancy gradients at these fronts lead to enhanced vertical motions and stronger mixing, enabling AOU to be transported to depth. This observation aligns with previous studies <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx38" id="paren.71"/>, which emphasize the role of submesoscale features in facilitating vertical exchange. The alignment of high FSLE values with strong mixing signatures underscores the importance of surface strain fields in enhancing subduction.</p>
      <p id="d2e3425">In some instances, the glider may cross into a different water mass, making it difficult to precisely locate the source of the ventilated waters. Localized features, such as the subsurface eddy described in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>, can trap and transport recently ventilated waters to depth over small horizontal scales. While this event reflects ventilation associated with the eddy, it is also possible that these waters were ventilated through surface processes in a neighboring region and subsequently advected into the observed area. Therefore, while the vertical transport of tracers appears to be influenced by local mixing and submesoscale dynamics, it is important to consider the possibility that these processes are linked to larger-scale advection and ventilation occurring outside the glider's immediate path.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Implications</title>
      <p id="d2e3439">The findings of this study extend beyond local oceanographic dynamics, with the redistribution of heat and carbon impacting both the regional thermohaline structure and potentially large-scale ocean circulation. We show that waters stirred by the oceanic circulation of the Agulhas Current can facilitate the interaction and mixing of water masses that originate from the Indian, Atlantic and Southern Oceans. As ventilated waters are advected downstream along isopycnals, the cumulative anomalies of high POC and low AOU are gradually reduced by remineralization and respiration. While this process is taking place, they can interact with surrounding water masses and contribute to the transport of heat, salt, and tracers toward other parts of the Atlantic, potentially influencing intermediate-depth circulation and branches of the AMOC <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx12 bib1.bibx48" id="paren.72"/>. This exchange contributes to the transport of heat and salt from the Southern Hemisphere to other parts of the Atlantic, and potentially influencing the strength and variability of the AMOC <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx12 bib1.bibx48" id="paren.73"/>. Meso- to submesoscale eddies and fronts are found to enhance lateral and vertical fluxes, driving the downward transport of warm, carbon-rich (high POC) surface waters into the ocean interior. Regions of consistently high FSLE, as shown in Fig. <xref ref-type="fig" rid="F1"/>c, coincide with elevated EKE and mark persistent hotspots where strong mesoscale stirring and fronts are likely to subduct and ventilate waters, highlighting this particular area (the Cape Basin and particularly just west of the Agulhas Retroflection) as a region of potentially enhanced vertical transport. This has direct consequences for ocean-atmosphere interactions, given that the vertical supplies of heat and carbon can alter air–sea fluxes <xref ref-type="bibr" rid="bib1.bibx36" id="paren.74"/>.</p>
      <p id="d2e3453">Similarly, the downward flux of carbon via subduction and subsequent remineralization at depth impacts oceanic carbon sequestration and oxygen consumption, regulating the biological pump and overall carbon cycling. Given that current estimates suggest the biological carbon pump is underestimated <xref ref-type="bibr" rid="bib1.bibx45" id="paren.75"/>, a more comprehensive understanding of the fine-scale physical processes driving carbon sequestration, such as those resolved by the glider survey, is needed for closing carbon budgets. Integrating such observational data with high-resolution models will improve estimates of carbon fluxes and enhance predictions of future carbon sequestration in response to climate change. Although this study focuses on the Cape Basin, similar processes might occur in other regions with strong frontal dynamics, such as the Brazil–Malvinas Confluence. These areas remain the focus of active research. Integrating observational datasets with high-resolution models and emerging satellite missions such as SWOT might provide a more holistic view of ventilation and carbon fluxes across the South Atlantic.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e3469">The results from this study provide new insights into the small-scale dynamics driving ventilation in the Cape Basin and region of the Agulhas Retroflection. Using high-resolution glider data, we were able to map the transport of AOU and identify key processes that enhance vertical and lateral tracer transport.</p>
      <p id="d2e3472">The glider transects show how AOU is transported from the surface to intermediate depths (300–700 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) through lateral stirring and subduction along isopycnals, as well as cross-isopycnal, by shear-driven turbulence and instabilities.</p>
      <p id="d2e3483">The use of altimetry-derived FSLE revealed that enhanced strain correspond to larger horizontal buoyancy gradients at depth. Such lateral dynamics enhance the subduction of oxygen-rich waters. Additionally, particle backscatter analysis highlight the important role of ocean fronts and shear-driven turbulence facilitating the vertical transport of particles and organic matter, such as POC, towards the ocean interior.</p>
      <p id="d2e3487">While this study provides valuable insights into both the vertical and horizontal dynamics of this highly energetic region, it has limitations. Firstly, glider-derived buoyancy gradients are underestimated because fronts and filaments are not sampled perpendicularly, especially when the strong currents advect the glider along geostrophic flows. Such underestimation leads to a somewhat incomplete picture of the prevalence and magnitude of shear processes. Future work could address this by incorporating measurements perpendicular to the front, using pairs of gliders sampling in parallel to capture the full horizontal buoyancy gradient, or use high-resolution ship-based hydrographic surveys. Also, future studies would benefit from newly available SSH products incorporating swath altimetry from the SWOT mission, thereby better resolving circulation and strain fields to relate to in situ observations and providing a more complete picture of the dynamics. While this study uniquely highlights the role of small-scale physical processes in driving ventilation and carbon cycling in the Cape Basin, more comprehensive high-resolution observations will help determine if such ventilation regimes are confined to the highly energetic Retroflection region or more widely spread in the Cape Basin and beyond. Future planned winter-time observations will also help elucidate whether deeper MLDs, associated amplified submesoscale instabilities and stronger air–sea fluxes can amplify these ventilation pathways in the Agulhas Current System.</p>
</sec>

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

      <p id="d2e3494">The Seaglider SG675 data are available at Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.15189207" ext-link-type="DOI">10.5281/zenodo.15189207</ext-link>, <xref ref-type="bibr" rid="bib1.bibx55" id="altparen.76"/>). The CTD data used to calibrate the Seaglider oxygen measurements can be found at Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.15192621" ext-link-type="DOI">10.5281/zenodo.15192621</ext-link>, <xref ref-type="bibr" rid="bib1.bibx37" id="altparen.77"/>). The Global Ocean Gridded L4 Sea Surface Heights and derived variables and the Global Ocean OSTIA Sea Surface Temperature and Sea Ice Analysis are distributed by Copernicus Marine Service (<ext-link xlink:href="https://doi.org/10.48670/moi-00148" ext-link-type="DOI">10.48670/moi-00148</ext-link>, <xref ref-type="bibr" rid="bib1.bibx20" id="altparen.78"/> and <ext-link xlink:href="https://doi.org/10.48670/moi-00168" ext-link-type="DOI">10.48670/moi-00168</ext-link>, <xref ref-type="bibr" rid="bib1.bibx21" id="altparen.79"/>). The code used for data analysis and visualization is publicly available at: <uri>https://github.com/renskekoets/Ventilation_Cape_Basin</uri> (last access: 12 January 2026; DOI: <ext-link xlink:href="https://doi.org/10.5281/zenodo.18215721" ext-link-type="DOI">10.5281/zenodo.18215721</ext-link>, <xref ref-type="bibr" rid="bib1.bibx42" id="altparen.80"/>).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e3531">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/os-22-209-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/os-22-209-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3540">RK conducted the research, performed the data analysis, and wrote the manuscript. SS and MdP conceptualized the study and supervised the project, and reviewed and edited the manuscript. KD collaborated on the project and assisted with manuscript revisions.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3546">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="d2e3552">Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.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><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d2e3561">This article is part of the special issue “Advances in ocean science from underwater gliders”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e3567">All in situ ocean data were collected during the QUICCHE project, led by Lisa Beal and Kathleen Donohue, with co-PIs Yueng Lenn, Chris Roman, and Sebastiaan Swart. The project is funded by the US NSF (grant nos. 2148676, 2148677), UK NERC (grant no. NE/X006468/1), and the Wallenberg Academy Fellowship of S. Swart (grant no. WAF 2015.0186). We thank Johan Edholm, Marcel du Plessis, Isabelle Giddy, Estel Font, and the R/V <italic>Revelle</italic> (R2302) captain, crew, and technicians for their support in the glider deployments and piloting. This project has received co-funding from the European Union's Horizon Europe ERC Synergy Grant programme under grant agreement no. 101118693 – WHIRLS.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3575">This research has been supported by the National Science Foundation, National Science Board (grant nos. 2148676, 2148677), UK NERC (grant no. NE/X006468/1), the Knut och Alice Wallenbergs Stiftelse (grant no. WAF 2015.0186), and European Union's Horizon Europe ERC Synergy Grant programme under grant agreement no. 101118693 – WHIRLS.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3581">This paper was edited by Annunziata Pirro and reviewed by two anonymous referees.</p>
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