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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</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/bg-18-5539-2021</article-id><title-group><article-title>Episodic subduction patches in the western North Pacific identified from
BGC-Argo float data</article-title><alt-title>Episodic subduction from BGC-Argo</alt-title>
      </title-group><?xmltex \runningtitle{Episodic subduction from BGC-Argo}?><?xmltex \runningauthor{S.~Chen et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Shuangling</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wells</surname><given-names>Mark L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Huang</surname><given-names>Rui Xin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Xue</surname><given-names>Huijie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0738-4978</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xi</surname><given-names>Jingyuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff6">
          <name><surname>Chai</surname><given-names>Fei</given-names></name>
          <email>fchai@sio.org.cn</email>
        <ext-link>https://orcid.org/0000-0002-5664-9592</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>State Key Laboratory of Satellite Ocean Environment Dynamics, Second
Institute of Oceanography, <?xmltex \hack{\break}?>Ministry of Natural Resources, Hangzhou, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Marine Sciences, University of Maine, Orono, ME, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Woods Hole Oceanographic Institution, Woods Hole, MA, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>State Key Laboratory of Marine Environmental Science, Xiamen
University, Xiamen, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>College of Ocean and Earth Sciences, Xiamen University, Xiamen,
China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>School of Oceanography, Shanghai Jiao Tong University, Shanghai,
China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Fei Chai (fchai@sio.org.cn)</corresp></author-notes><pub-date><day>13</day><month>October</month><year>2021</year></pub-date>
      
      <volume>18</volume>
      <issue>19</issue>
      <fpage>5539</fpage><lpage>5554</lpage>
      <history>
        <date date-type="received"><day>7</day><month>June</month><year>2021</year></date>
           <date date-type="rev-request"><day>18</day><month>June</month><year>2021</year></date>
           <date date-type="rev-recd"><day>19</day><month>September</month><year>2021</year></date>
           <date date-type="accepted"><day>22</day><month>September</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</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://bg.copernicus.org/articles/.html">This article is available from https://bg.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e163">Subduction associated with mesoscale eddies is an important but difficult-to-observe process that can efficiently export carbon and oxygen to the
mesopelagic zone (100–1000 dbar). Using a novel BGC-Argo dataset covering the
western North Pacific (20–50<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 120–180<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), we
identified imprints of episodic subduction using anomalies in dissolved
oxygen and spicity, a water mass marker. These subduction patches were
present in 4.0 % (288) of the total profiles (7120) between 2008 and
2019, situated mainly in the Kuroshio Extension region between March and
August (70.6 %). Roughly 31 % and 42 % of the subduction patches were
identified below the annual permanent pycnocline depth (300 m vs. 450 m) in the
subpolar and subtropical regions, respectively. Around half (52 %) of these episodic events injected oxygen-enriched waters below the maximum
annual permanent thermocline depth (450 dbar), with <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> %
occurring deeper than 600 dbar. Subduction patches were detected during winter
and spring when mixed layers are deep. The oxygen inventory within these
subductions is estimated to be on the order of 64 to 152 g O<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>/m<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.
These mesoscale events would markedly increase oxygen ventilation as well as
carbon removal in the region, both processes helping to support the nutritional and
metabolic demands of mesopelagic organisms. Climate-driven patterns of
increasing eddy kinetic energies in this region imply that the magnitude of
these processes will grow in the future, meaning that these unexpectedly
effective small-scale subduction processes need to be better constrained in
global climate and biogeochemical models.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e221">Ocean subduction is the process of transporting water from the wind-mixed
surface layer into or below the permanent thermocline, resulting in the
efficient injection of heat, carbon, and oxygen to the ocean interior (Fig. 1). Subduction therefore plays an important role in regulating global
climate and carbon cycles (Sabine et al., 2004; Qu and Chen, 2009; Stukel
et al., 2017, 2018; Boyd et al., 2019; Martin et al., 2020). Many
studies focus on the subduction of mode waters driven by large-scale
circulation and the seasonal cycle of the mixed-layer dynamics (Williams,
2001; Qu et al., 2002; Qiu et al., 2007; Koch-Larrouy et al., 2010; Kawakami
et al., 2015; Nie et al., 2016). But recent advances have highlighted the
importance of small-scale (1–100 km) dynamical processes for vertical
transport and biogeochemistry in the upper ocean, driven by mesoscale eddies
and sub-mesoscale processes (Lévy et al., 2001; Xu et al., 2014; Omand
et al., 2015; McGillicuddy, 2016; Llort et al., 2018; Resplandy et al.,
2019). Ocean general circulation models typically resolve the large-scale
subduction of mode waters (Koch-Larrouy et al., 2010) but cannot accurately
capture small-scale,<?pagebreak page5540?> short-term subduction processes because of their
episodic characteristics (Xu et al., 2014; Llort et al., 2018).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e226">An illustration of the Kuroshio and Oyashio Extension region
depicting the different modes of carbon export below the maximum annual
mixed-layer depth; the biological gravitational pump (sinking export,
zooplankton migration) and subduction in the region of the Kuroshio and its
extension (yellow line) and Oyashio and its extension (grey line). The
subducted surface waters, apparently driven by mesoscale eddy processes,
travel along isopycnal surfaces transporting water containing high dissolved
oxygen (DO), dissolved organic carbon (DOC), and slowly sinking particulate
organic carbon (POC) into the mesopelagic zone (low DO, DOC, and POC). The
green layer represents the euphotic zone, and the blue layer below is the
mesopelagic zone.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/5539/2021/bg-18-5539-2021-f01.png"/>

      </fig>

      <p id="d1e235">Subduction associated with mesoscale and sub-mesoscale dynamics has been
observed at higher latitudes in the North Atlantic (Omand et al., 2015) and
Southern oceans (Llort et al., 2018), and similar processes have been shown to
occur in the Kuroshio Extension (KE) region in the western subtropical Pacific.
Shipboard sampling techniques have been used there to identify small water
parcels within the main thermocline having low potential vorticity, elevated
dissolved oxygen (DO), and anomalous salinity, which are signals indicative of
small-scale subduction (Yasuda et al., 1996; Okuda et al., 2001; Oka et al.,
2009). Analogous phenomena have been observed in mooring data from the
region (Nagano et al., 2016; Inoue et al., 2016a; Kouketsu et al., 2016; Zhu
et al., 2021), and more focused sampling of anticyclonic eddies with Argo
floats (Zhang et al., 2015; Inoue et al., 2016b) and Seagliders
(Hosoda et al., 2021) confirm the existence of discrete subsurface
water mass exchanges. These episodic features will contribute to both
ventilation of the mesopelagic zone and export of dissolved inorganic
and organic carbon from surface waters (i.e., the solubility pump; Sarmiento
and Gruber, 2006), but their frequency, spatial extent, and lifetimes remain
unknown (Hosoda et al., 2021).</p>
      <p id="d1e239">Eddy-associated processes that generate vertical transport of productive and
detrital planktonic biomass into the mesopelagic zone affect not only carbon
export but also carbon sequestration timescales (i.e., time that carbon
remains within the ocean interior). In general, sequestration timescales
are proportional to the depth of injection, but the more important factor is
whether these injections extend below the annual maximum mixed-layer depth
(MLD), or permanent pycnocline, which hinders its return to the atmosphere
(Boyd et al., 2019). Although eddy subduction has the potential to
contribute significantly to global carbon export, evidence of the subsurface
fate of injected carbon has been indirect and patchy (Estapa et al., 2019),
highlighting the challenge of detecting and quantifying carbon export
associated with mesoscale and sub-mesoscale processes.</p>
      <p id="d1e242">The uncertainty about the contribution of eddy subduction to carbon and
oxygen transport into the mesopelagic and deeper ocean interior has
ramifications for both biogeochemical and ecological processes (Fig. 1). The
transport of freshly produced particulate and dissolved organic carbon,
along with oxygen, from surface waters to the mesopelagic zone is critical
for balancing upper-ocean carbon budgets (Emerson, 2014) and supporting the
nutritional demands of mesopelagic organisms (Dall'Olmo et al., 2016). The
knowledge gap in these episodic processes is particularly evident in the
mid-latitude western North Pacific, where mesoscale eddies, recirculation
gyres, fronts, and jets are amplified under the influence of the Kuroshio
and Oyashio currents and their extensions (Nishikawa et al., 2010). Shoaling
of the maximum annual MLD in this region relative to higher latitudes
(Cronin et al., 2013; Palevsky and Doney, 2018) has the potential to
increase carbon sequestration efficiency and oxygenation of the deep
mesopelagic zone (Bushinsky and Emerson, 2018).</p>
      <p id="d1e245">Here we investigate small-scale subduction events in the western North
Pacific region over the past decade (2008–2019). These events were
identified with a new algorithm utilizing anomalies of apparent oxygen
utilization (AOU; a proxy for dissolved and particulate organic matter
degradation) and potential spicity (<inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>; a characteristic water mass
marker) obtained from multiple biogeochemical Argo (BGC-Argo) datasets
(Claustre et al., 2020; Chai et al., 2020). These findings show the spatial
and temporal distributions of subduction patches reflecting episodic
injection processes that contribute to the missing fraction of carbon and
oxygen export into the deep twilight zone (Emerson, 2014; Martin et al.,
2020) but also have the potential to become increasingly significant under
future climate scenarios.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data</title>
      <p id="d1e270">After standard data quality control, 7120 profiles from 43 BGC-Argo
floats in the western North Pacific (20–50<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
120–180<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) between 2008 and 2019 were selected (Fig. 2). All of
these profiles contained measurements of temperature, salinity, pressure,
and dissolved oxygen (DO, <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg). The upper 1000 dbar of the ocean was
sampled in each profile, and the typical profiling interval was between 5–10 d, with the floats parking at 1000 dbar depth in between. The typical
vertical sampling frequency was every 5, 10, and 50 dbar for depth
intervals of 0–100, 100–500, and 500–1000 dbar, respectively. Some floats
were set with daily profiling and higher vertical frequency (e.g., every
2 dbar) for specific purposes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e301">Horizontal distribution of the quality-controlled BGC-Argo data profiles
between 2008 and 2019 in the western North Pacific. The Argo profiling
tracks are color-coded by the Julian day <bold>(a)</bold> and data density (number of
available profiles) for each grid (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) <bold>(b)</bold>. The location of Station no. 234 from float MD5904034
is denoted by the black dot in <bold>(a)</bold> (see Fig. 3); the white curve inside the
dashed box represents the trajectory of float MR2901556 between 28 July and 18 August 2014, and the black star indicates the
beginning of the float trajectory during this period (see Fig. 4). The white
box in <bold>(b)</bold> denotes the region with strong energetic ocean processes (i.e.,
Kuroshio–Oyashio Extension, associated with eddy activities).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/5539/2021/bg-18-5539-2021-f02.png"/>

        </fig>

      <p id="d1e342">All BGC-Argo variables were vertically smoothed with a three-bin running average
to remove sharp noises or spikes (Llort et al., 2018). Two key variables,
apparent oxygen utilization (AOU) and potential spicity (<inline-formula><mml:math id="M11" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>), were
derived from the direct measurements. Specifically, AOU is defined as the
difference between saturated oxygen concentration (O<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mtext>sat</mml:mtext></mml:msub></mml:math></inline-formula>) and DO, and
O<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mtext>sat</mml:mtext></mml:msub></mml:math></inline-formula> is estimated from temperature and salinity (Garcia and Gordon,
1992). AOU is a proxy for water mass age which reflects the microbial
respiration of dissolved and particulate organic matter (Sarmiento and Gruber, 2006). Potential spicity referenced to the surface pressure is
calculated from pressure, temperature, and salinity following Huang et al. (2018). Seawater is a two-component system. The water mass anomaly is commonly
analyzed in terms of the (potential) temperature and salinity anomaly, and
isopycnal analysis is also widely used. By definition, the temperature and
salinity anomaly on an isopycnal surface is density compensated; thus, the water mass anomaly on an isopycnal surface is commonly described in terms of
another thermodynamic<?pagebreak page5541?> variable, which is called spice, spiciness, or spicity.
Over the past decades, there have been different definitions of such a
thermodynamic variable; however, a most desirable property of such a
thermodynamic function is that it is orthogonal to the density. Recently,
Huang et al. (2018) proposed a potential spicity function (<inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>) by the
least-squares method, which is practically orthogonal to the potential
density, with the root mean square of the angle deviation from orthogonality at
the value of 0.0001<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Therefore, combining density and spicity
gives rise to an orthogonal coordinate system. It is the thermodynamic
variable we used in this study, which allows differentiating water masses
with distinct thermohaline properties but similar density. In addition,
potential density (<inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) referenced to the surface pressure was derived
from pressure, temperature, and salinity based on the thermodynamic equation
(TEOS-10; McDougall and Barker, 2011); and MLD was estimated based on a
threshold (0.05 kg/m<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>) of the difference in density from a near-surface
value (i.e., at 10 dbar) (Brainerd and Gregg, 1995). All these derived
variables were calculated for each of the 7120 profiles.</p>
      <p id="d1e404">In addition to the BGC-Argo float data, satellite data of daily sea level
anomalies (SLAs) and daily geostrophic velocity anomalies (<inline-formula><mml:math id="M18" 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="M19" display="inline"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) between
1993 and 2018 were also processed. The geostrophic velocity anomalies were
used to calculate the eddy kinetic energy (EKE) as
<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mi mathvariant="normal">EKE</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:msqrt><mml:mrow><mml:msup><mml:msup><mml:mi>u</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:msup><mml:mi>v</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></inline-formula>. These data were used
to identify the spatial relationship between surface mesoscale circulation
and the float profiles.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Methods</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Subduction detection</title>
      <p id="d1e480">When a BGC-Argo float passes through a parcel of water injected from the
mixed layer, it captures coherent anomalous features in AOU and <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>
distinct from the surrounding waters (Fig. 1). These anomalies can be used
to identify subduction patches that are indicators of subduction events
occurring in the vicinity (Omand et al., 2015; Llort et al., 2018).
Quantifying anomalies in AOU and <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> (denoted as <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) requires defining the reference values of AOU and <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>
at the mean state of the profile without subduction. Llort et al. (2018)
used the 20-bin running averages of the profiles as the references; however,
we found that this approach could dampen the subduction signal and thus miss
subduction patches as well as misidentify other signals as subduction (see
Fig. S1). To avoid misreporting these anomalies, a revised detection method
was developed by trial and error, as shown in example profiles of AOU, <inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>, DO, and <inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> for Station no. 234 of float MD5904034 (Fig. 3; see Fig. 2a for its sampling location). Two subduction patches are visually apparent
at <inline-formula><mml:math id="M28" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 230 and <inline-formula><mml:math id="M29" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 300 dbar (yellow shading in Fig. 3a, b). The identification of the lower subduction patch at
<inline-formula><mml:math id="M30" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 300 dbar from the spicity profile is briefly described below
and is illustrated in Fig. 3c:
<list list-type="order"><list-item>
      <p id="d1e564">Calculate the slopes (i.e., first-order derivative) for profiles of AOU and
<inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> against depth.</p></list-item><list-item>
      <p id="d1e575">Locate the peaks in AOU and <inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> profiles (e.g., the blue star in Fig. 3c)
based on their slopes. Specifically, if at one sampling point the slope
changes from positive to negative when moving downwards, it is called a
negative peak and vice versa. Only the negative or positive peaks in <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>
associated with a negative peak in AOU are considered, as only negative AOU
anomalies indicate potential water transport from the surface mixed
layer (Llort et al., 2018).</p></list-item><list-item>
      <p id="d1e593">Locate the coherent peaks in both AOU and <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>, and mark their depths as
the targeted locations (represented by pressure, <inline-formula><mml:math id="M35" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) for potential subduction
patches.</p></list-item><list-item>
      <p id="d1e611">Calculate the peak <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at each targeted pressure. For the
case of a negative (positive) peak, identify the maximum (minimum) values of
<inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> within the depth ranges of [<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>] and [<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>],
respectively (green triangles in Fig. 3c), and the depth interval <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> dbar is chosen, considering the general vertical scale (i.e., a few
tens of meters) of the eddy-induced subduction features (Zhang et al., 2015;
Hosoda et al., 2021); the reference profile is defined by the straight line
in between. The anomaly <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (red bracket in Fig. 3c) is
defined as the difference between the reference profile and the original
profile of <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> at pressure <inline-formula><mml:math id="M43" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> (green star in Fig. 3c).</p></list-item><list-item>
      <p id="d1e709">Calculate <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> using the same method, independent of <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d1e735">The thresholds used to determine whether the signals meet the criteria of a
subduction patch or not were set to <inline-formula><mml:math id="M46" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg for <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> kg/m<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> following Llort et al. (2018).</p></list-item></list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e797">Vertical property distributions of profile no. 234 (on 24 June 2016) of float MD5904034 (the black dot in Fig. 2a) demonstrate
subduction patches observed by the BGC-Argo floats. <bold>(a)</bold> The profiles of
potential density (<inline-formula><mml:math id="M52" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, blue line) and potential spicity (<inline-formula><mml:math id="M53" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>, dotted red
line), <bold>(b)</bold> the profiles of DO (blue line) and AOU (red dotted line); <bold>(c)</bold> the same spicity profile as in <bold>(a)</bold>, which is used to demonstrate the
steps to detect subduction signals described in Methods. Note that the red
dots in each panel represent the raw field observations; the overlaid red
curves are the three-bin running averages to remove sharp noises or spikes, which are used to calculate the anomalies in AOU and <inline-formula><mml:math id="M54" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>; and the black
line represents the MLD. The yellow shading in <bold>(a)</bold> and <bold>(b)</bold> highlight the
subduction features identified using the detection method in <bold>(c)</bold>.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/5539/2021/bg-18-5539-2021-f03.png"/>

          </fig>

      <p id="d1e849">The refined algorithm presented here had improved performance for detecting
subduction patches in these BGC-Argo profile data compared to that used in previous
studies (Llort et al., 2018) (see Fig. S1). The main difference in our
approach is in selecting the frame of reference for identifying AOU and <inline-formula><mml:math id="M55" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> anomalies from irregular features in “typical” vertical profiles.</p>
      <p id="d1e860">The sensitivity of the method to the interval of <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> (in step 4) was
investigated by varying <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> between 70 and 130 dbar (see Table S1).
For <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> dbar (i.e., 97, 98, 99, 101, 102, and
103 dbar), fewer than seven (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> %) subduction patches were missed, and the
resulting <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> show a RMSD of <inline-formula><mml:math id="M63" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula>
3.8 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">8.3</mml:mn></mml:mrow></mml:math></inline-formula> %) and <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> kg/m<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M68" display="inline"><mml:mo lspace="0mm">≤</mml:mo></mml:math></inline-formula> 9.2 %).
More details are provided in Text S1. The sensitivity analysis suggests the
validity and robustness in the choice of <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> of 100 dbar. After
verifying that our approach better captured subduction indicators in a
subset of BGC-Argo data from this region, the algorithm was applied to all
profiles to identify the locations, depths, timing, and strengths (i.e.,
<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of the
subduction patches.</p>
</sec>
<?pagebreak page5542?><sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Quantification of oxygen export</title>
      <p id="d1e1041">For all the subduction patches identified using the method developed above,
we obtain a first-order estimate of oxygen export based on the DO anomalies
(<inline-formula><mml:math id="M73" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>DO) with the assumptions that (1) the surface processes initiating
these subduction events generated similar levels of DO (i.e., surface
phytoplankton production) and (2) the water parcels containing this DO are
subducted into the ocean's interior.</p>
      <p id="d1e1051">We estimated the average oxygen inventories within the water column based on
the BGC-Argo profiles. We calculated DO inventories (per m<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) through
these features in two ways: by integration of the anomaly above the estimated
baseline (Eq. 1) and by using the anomaly peak height (Eq. 2) (see Fig. 3c).</p>
      <?pagebreak page5543?><p id="d1e1063">The equation for the integrated estimates for each profile is
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M75" display="block"><mml:mrow><mml:msub><mml:mtext>Oxygen Inventory</mml:mtext><mml:mtext>IA</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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:mo>/</mml:mo><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mi>p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mi>p</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mtext>DO</mml:mtext><mml:mi>z</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M76" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>DO<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula> is the DO anomaly at depth <inline-formula><mml:math id="M78" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> within the water column
of the subduction patch, and the integrated areas (IA) of DO anomalies are
converted from <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg to mg/m<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> based on seawater
density.</p>
      <p id="d1e1172">The inventory calculated using the peak height (PH) approach is
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M81" display="block"><mml:mrow><mml:msub><mml:mtext>Oxygen Inventory</mml:mtext><mml:mtext>PH</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>/</mml:mo><mml:msup><mml:mtext>m</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO_peak</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:mi>H</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M82" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is the thickness (i.e., vertical height between the green triangles
in Fig. 3c, in units of m) of the subduction patch and the <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO_peak</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the maximum anomalous value of DO converted
to mg/m<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> as above. The oxygen inventory using the peak height method
represents the maximum potential of the anomalous DO inventory within the
subduction patch.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Case study – detecting subduction in BGC-Argo datasets</title>
      <p id="d1e1264">Subduction associated with eddy pumping is a recognized important
contributor to the transfer of carbon and other materials from the surface
euphotic layer to the ocean interior (McGillicuddy, 2016; Bord et al.,
2019), but investigating the spatial distributions, physical dynamics, and
biogeochemical consequences of these episodic small-scale processes is
difficult. The BGC-Argo program provides an exceptional data resource for
this purpose (Claustre et al., 2020; Chai et al., 2020), but detecting
subduction signals where differences among water masses are small is
challenging.</p>
      <p id="d1e1267">Subduction patches below the seasonal and permanent pycnoclines can be
identified in vertical profiles by anomaly matrices of temperature,
salinity, and dissolved oxygen (DO). Examples of these events are
illustrated in time series from the BGC-Argo profiling float (MR2901556),
between 28 July and 18 August 2014 (Fig. 4). Positioned on the
southern perimeter of the Kuroshio Extension region, the surrounding ocean
conditions are less energetic, with fewer eddy activities and small sea level
anomalies. During the observation period, the float was trapped in a
warm-core eddy (Fig. S2) and moved from the margin of the eddy to the eddy
core, as indicated by the gradual increase in depth of<?pagebreak page5544?> the
anomalous patch (right panels of Fig. 4). Due to the vertical cruising of
the Argo profiler in an environment with velocity shear, it may sample
different parts of the same subduction patch, as indicated by slightly
different depths, and anomalous spicity and oxygen concentration. Here,
intermittent patches of elevated spicity (<inline-formula><mml:math id="M85" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>), lower AOU, and greater
dissolved oxygen are visible in the upper 600 dbar (boxes 1–3, Fig. 4).
Potential spicity (<inline-formula><mml:math id="M86" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>), a parameter dependent on pressure, temperature,
and salinity (Huang et al., 2018), is a sensitive indicator of water mass
differences. AOU is the difference between the measured dissolved oxygen
concentration and its equilibrium saturation concentration in water with the
same physical and chemical properties. It reflects the degree of progressive
microbial decomposition of organic matter since the water was last at the
surface in contact with the atmosphere (Garcia and Gordon, 1992; Sarmiento
and Gruber, 2006). Despite this oxygen consumption, these injected waters
retain excess net oxygen concentrations relative to the surrounding
mesopelagic zone (Fig. 4d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1286">Trajectory of float MR2901556 between 28 July 2014
(Station no. 123) and 18 August 2014 (Station no. 144) <bold>(a)</bold> and its
time series of <inline-formula><mml:math id="M87" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> <bold>(b)</bold> AOU <bold>(c)</bold>, and DO <bold>(d)</bold>. Vertical lines in <bold>(b)</bold>, <bold>(c)</bold>, and
<bold>(d)</bold> represent the BGC-Argo profiles, and the section distance along the
<inline-formula><mml:math id="M88" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis is the path distance from Station no. 123 (the red star in <bold>a</bold>). The
three boxes (Box1, Box2, and Box3) in  <bold>(b, c, d)</bold> outline the coherent
anomalous features in <inline-formula><mml:math id="M89" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>, AOU, and DO, which were identified as
subduction patches following the detection procedure in Sect. 2.2.1. The
red lines in  <bold>(b, c, d)</bold> indicate the MLD, and the horizontal black lines
are the isopycnals. Anomalies of magnitude less than <inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg for
<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> kg/m<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (e.g.,
at section distances of <inline-formula><mml:math id="M96" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25, 125, 175, 275, and 475 km)
were below our conservative thresholds for identifying intrusions (<inline-formula><mml:math id="M97" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg for <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> kg/m<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/5539/2021/bg-18-5539-2021-f04.png"/>

        </fig>

      <p id="d1e1470">Llort et al. (2018) successfully identified eddy subduction in BGC-Argo data
from the Southern Ocean using anomalies in spiciness (Flament, 2002; Huang,
2011; McDougall and Krzysik, 2015), a parameter derived from a different
function of pressure, temperature, and salinity than potential spicity
(Huang et al., 2018). However, we found that spiciness frequently missed
signs of subduction while misidentifying other signals as subduction, and
the 20-bin method used by Llort et al. (2018) significantly dampened the
subduction signals in our data. Potential spicity (<inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>) (Huang et
al., 2018), on the other hand, greatly improves the ability to distinguish
among similar water masses due to its orthogonal coordination with density,
a feature that spiciness lacks. This added sensitivity revealed reliable
signals of subduction in these BGC-Argo data. The algorithm based on peak
detection here shows better capabilities in capturing and quantifying the
subduction signals (see Methods, Fig. S1).</p>
      <p id="d1e1480">For the same subduction event, continuous subduction patches are expected to
be identified from the Argo profiles. The discrete anomalous <inline-formula><mml:math id="M104" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> and AOU
signals, highlighted in boxes 1–3 in the example time series (Fig. 4a–d; 31 July, 10 and 12 to 15 August),
indicate that they stemmed from distinct subduction events,
opportunistically captured by this BGC-Argo float. The first two anomalies
(July and early August) each appeared in only a single profile, perhaps
indicating a limited spatial scale of these subduction events. In contrast,
the mid-August anomaly persisted over four consecutive profiles. We further
examined the corresponding time series of temperature, salinity, and
potential density and found salinity also showed a similar anomalous signal.
As such, we suspect the consecutive subduction patches were most likely from
a more sustained or a larger spatial subduction event. It should be noted
that the high detection chance of subduction within 21 d was likely given
that the float was trapped in a warm-core eddy (Fig. S2), which does not indicate this area is a place where it is easy to observe subduction events (see Sect. 3.2).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Spatial and temporal distributions of subduction</title>
      <p id="d1e1498">We used our peak detection algorithm with the <inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> and AOU data and
applied it to all 7120 BGC-Argo profiles (2008–2019) in the western North
Pacific (Fig. 5). Our algorithm resolved 335 subduction patches, spread over
an unexpectedly large area in the western North Pacific. Overall, subduction
patches were identified in 288 profiles (4.0 %) (some profiles have
multiple patches at different depths), with approximately 83 % of these
being concentrated in the Kuroshio–Oyashio Extension region (Fig. 5a). High
(<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> cm) climatologic sea level anomalies (SLAs) and the corresponding
distribution of eddy kinetic energy (EKE) are evidence of the strong
energetic ocean processes in this region (Fig. 5a and b). By contrast, far
fewer subduction patches were identified in the less energetic region to the
south of 29<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N despite a higher BGC Argo sampling density (Fig. 2b), consistent with eddy-related processes being important for driving
these subduction events. Even so, the true frequency of these events across
the entire region is certain to have been under-sampled given their small
scales relative to the dispersed BGC-Argo float positions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1529">Horizontal distribution of the BGC-Argo data profiles
associated with subduction patches <bold>(a, b)</bold> between 2008 and 2019 in the
western North Pacific. The profiles with detected subduction patches are
color-coded by different intervals of depths of the subduction patches <bold>(a)</bold>,
AOU anomalies <bold>(b)</bold>, and seasons <bold>(c)</bold>, with percentages of detected patches in
each interval annotated. The purple background data in <bold>(a)</bold> represent all the
analyzed profiles as shown in Fig. 2a. The greyscale background map in <bold>(a)</bold> is the annual mean EKE climatology, with EKE contour lines of 0.3, 0.2, and
0.1 m<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>/s<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> shown in magenta, cyan, and black, respectively, and the
greyscale background map in <bold>(b)</bold> is the annual mean SLA climatology, with
SLA contour lines of <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula>, 0.04, and 0.02 m shown in magenta, cyan,
and black, respectively. The seasons in <bold>(c)</bold> are divided into the spring of
March–May, summer of June–August, fall of September–November, and winter of
December–February.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/5539/2021/bg-18-5539-2021-f05.png"/>

        </fig>

      <p id="d1e1591">Discrete signals of subduction were detected throughout the mesopelagic
depth range (<inline-formula><mml:math id="M111" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 100–1000 dbar), with the majority detected below
300 dbar (green and yellow dots in Fig. 5a). The deepest penetrations (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula> dbar) occurred largely in areas experiencing the highest EKE while the
shallowest (100–300 dbar) were largely restricted to areas with lower EKE
(Fig. 5a). Based on 16 years of Argo float data (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> 226 177) in the
global ocean, Feucher et al. (2019) found that the depth of the permanent
pycnocline differs between the subtropical (i.e., <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)
and subpolar (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) regions, with the depth of the
permanent pycnocline being 300 and 450 m in the subpolar and subtropical
sections of the western North Pacific. Similarly, using the limited BGC-Argo
dataset used in this study (Fig. 2), we also found shallower
annual maximum MLD in the subpolar section than that in the subtropical
section (see Fig. S3). As a result, 56 (16.7 %) and 104 (31.0 %)
subduction patches were found to be above and below the depth of the permanent
pycnocline (i.e., 450 m) in the subtropical section; and in the subpolar
section, 34 (10.1 %) and 141 (42.1 %) subduction patches were above
and below the permanent pycnocline (i.e., 300 m). Overall, roughly half
(52 %) of the detected subduction signals were below 450 dbar in this region
of the western North Pacific, while 22 % penetrated far deeper (up to 800 dbar; Table S2).</p>
      <p id="d1e1661">There is a distinct seasonality in subduction, with most (<inline-formula><mml:math id="M118" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 70 %) signals being observed between March (the maximum) and August (Figs. 6 and S4), with the peaks appearing in early March. Since these anomalous
patches can be<?pagebreak page5545?> observed after their formation, there is a delayed period
between the peak of formation and the peak of observation.</p>
      <?pagebreak page5546?><p id="d1e1671">Ocean eddies are sustained by many processes including small-scale
mixed-layer instabilities set up by large-scale atmospheric forcing in
winter (Sasaki1 et al., 2014); in particular, the extreme mixed-layer
deepening events are attributable to the accumulation of excessive surface
cooling driven by synoptic storms in connection with cold-air outbreaks (Yu
et al., 2020). Each cooling episode brought by the synoptic storm may lead
to the formation of subduction patches due to strong mixed-layer deepening.
Thus, subduction patches are primarily formed during winter and spring when
deep mixing processes occur. Although only 8.3 % of the total profiles
were obtained in March, they accounted for 17.3 % of all observed
subduction patches (Fig. S4a); correspondingly, the monthly subduction
detection rate (i.e., the number of profiles with identified subduction
patches divided by the total number of profiles available) was the highest
in March, at <inline-formula><mml:math id="M119" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 % (Fig. S5). In a pioneering work, Stommel
(1979) argued that a demon works in the ocean by selecting the later
winter (typically later March in the Northern Hemisphere) water mass
properties and injecting them into the subsurface ocean. This mechanism is
now called the Stommel Demon in dynamical oceanography (Huang, 2010). The
high detection rate of episodic subduction patches in March was consistent
with observations of large-scale subduction in this region during late
winter because mesoscale and sub-mesoscale eddy activities are prevalent
when large-scale subduction occurs (Qu et al., 2002; Qiu et al., 2007;
Nishikawa et al., 2010; Liu and Huang, 2012; Zhang et al., 2014; Xu et al.,
2014). The March-to-August time frame also coincides with the onset and
establishment of warming-induced shoaling of the mixed-layer depth, when
winter-subducted waters are less likely to be re-entrained into surface
waters by winds (Dall'Olmo et al., 2016; Palevsky and Doney, 2018). Indeed,
based on the entire BGC-Argo dataset in Fig. 2, we found that the monthly MLD
reached a maximum in February and March and then decreased until August (Fig. S3). It should be noted that, despite the number of subduction patches
identified in the time frame of April–August being slightly larger than those
in September–December (Fig. S4a), the detection rates did not vary much
between these time frames (Fig. S5). In contrast, comparatively few
(3.0 %) of the subduction patches were detected in January and February,
in which time the detection rates were also low (<inline-formula><mml:math id="M120" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 2 %, Fig. S5).
Although specific timelines between the observed subduction patches and
their formation could not be determined, it is reasonable to anticipate that
more energetic winds and the accumulated strong heat loss during mid-winter
contributed to the peak in subduction signatures observed in March. However,
there were no spatial patterns of the subduction patches detected in each
season (Fig. 5c). The current BGC-Argo profiling asset is not sufficient for studying how those subduction patches change on interannual scales.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1690">Temporal distribution of the number of patches <bold>(a)</bold>,
integrated AOU anomaly <bold>(b)</bold>, integrated <inline-formula><mml:math id="M121" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> anomaly <bold>(c)</bold>, and integrated DO
anomaly <bold>(d)</bold>, by the Julian day based on 7-point smoothing. Spicity in subducted
patches can be lower or higher than the surrounding waters, resulting in
negative <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:math></inline-formula> (red lines) or positive <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:math></inline-formula> (blue
lines) anomalies, respectively (see text in Sect. 3.4). The integrated
anomalies indicate the significance and prevalence of the episodic
subduction events over time.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/5539/2021/bg-18-5539-2021-f06.png"/>

        </fig>

      <?pagebreak page5547?><p id="d1e1739"><?xmltex \hack{\newpage}?>The Kuroshio–Oyashio Extension zone lies between the subtropical and
subpolar gyres in the North Pacific, and it is a recognized hot spot for
water mass exchange via eddy transport (Yasuda et al., 1996; Talley, 1997;
Joyce et al., 2001; Zhang et al., 2014; Xu et al., 2016) and substantial
ocean-to-atmosphere heat flux (Jing et al., 2020). It is not surprising then
that the majority of subduction signals were observed in this region in
spite of less float coverage (Fig. 5). In the southern area of the Kuroshio
Extension, where the subtropical mode water is formed, the MLD could
reach 300–400 m between January and March (Fig. S3). Subduction patches are
formed after the water parcels are detached from the base of the mixed
layer, and they could be identified below the base of the winter mixing
layer (Fig. 5c). Large-scale circulation and seasonal variability in the
mixed-layer depth here typically result in late-winter subduction of
subtropical mode waters (Qiu et al., 2007; Oka et al., 2009; Oka and Qiu,
2012; Xu et al., 2014, 2016), and sharp horizontal density gradients can
enhance strong vertical exchanges (Marshall et al., 1993; Hurlburt et al.,
1996; Liu et al., 2012; Ma et al., 2017). Rapid heat loss to the wintertime
cool, dry continental air masses flowing across the Kuroshio–Oyashio
Extension erodes the seasonal thermocline to its maximum depth in
February–March (Cronin et al., 2013), the latter portion in which the
subduction patches were most frequently observed (Fig. 6).</p>
      <p id="d1e1743">Ascertaining the frequency and spatial extent of these lower-latitude
episodic events will be important for establishing their overall
contribution to the transport of surface waters into the mesopelagic zone,
but this goal is challenged by the presently limited distribution of
BGC-Argo floats. It may be possible to obtain a first-order estimate of
their frequency by linking the subduction signals here to surface-expressed
indicators of mesoscale circulation processes. Moreover, our findings
suggest that spicity should be adopted more generally in probing BGC-Argo
datasets to improve our understanding of the spatial and temporal
distribution of subduction processes.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Properties of subduction patch</title>
      <p id="d1e1754">Beyond being a water mass indicator, AOU is a proxy for cumulative net
community respiration and a sensitive indicator of carbon export in the
upper mesopelagic zone (Emerson et al., 2001; Pan et al., 2014; Catala et
al., 2018; Bushinsky and Emerson, 2018). This export comprises
remineralized carbon as well as dissolved and slowly sinking particulate
organic matter carried by the subducting waters (Stukel et al., 2017). The
magnitude of AOU may be used as an indicator of the time since subduction,
with the first-order assumption being that the larger-scale processes
initiating these subduction events generated similar surface production.
Values of <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at the anomalous peak depth ranged between <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>
(the minimal threshold used) and <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">81</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg (Fig. 7a). This proxy was
highly variable over the space–time domain, similarly to the variations in
<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 7b). In general, 61.7 % of the subduction
patches had <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values in the range of <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg with
the remainder having greater oxygen depletions (i.e., <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg) (Fig. 5b). Water masses subducted below 450 dbar (i.e., the permanent
pycnocline) had an average AOU anomaly of <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M136" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15.3 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1895">Vertical spatial distribution of the detected subduction
patches in the western North Pacific, color-coded by the magnitudes of the
subduction strengths in terms of the AOU anomaly <bold>(a)</bold> and <inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> anomaly <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/5539/2021/bg-18-5539-2021-f07.png"/>

        </fig>

      <p id="d1e1917">There was no clear relationship between the depth of subduction and <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 7a), suggesting either surface conditions (e.g., water
temperature, primary productivity) were substantially different when the
seawater parcels were subducted or these signatures stem from
non-systematic differences in the time since subducted waters were last at
the surface. On the other hand, it is noted in Fig. 7 that the depth
positions of the subduction patches appear to somewhat extend from northeast
to southwest and are deeper along the isopycnal surface as illustrated in Fig. 1.
This phenomenon is clearly shown when averaging the depth of subduction
patches both latitudinally and longitudinally (Fig. S6). Along the latitude,
despite a few deep subduction patches identified at 42–43<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (at around 550 m), the mean depths of the subduction patches
show a clear increasing pattern from latitude 37–42<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
to a latitude of 32–37<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, i.e., 300 m vs. 500 m. However,
the depth positions tend to become shallower and shallower south of
32<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. Along the longitude, the depth positions generally appear
to be deeper from east to west. As such, it is most likely that the
subduction that occurred in the northern KE (37–42<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)
could travel southwestward from shallow to deep depth, and these waters
could reach 32<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. The increasing depth positions of subduction
patches from 26 to 32<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N tend to suggest the
gradually downward movements of the subducted water masses carried by the
general trend of the anticyclonic gyre-scale circulation, yet further
investigation is needed.</p>
      <p id="d1e1996">In the subpolar region, for the subduction patches identified above and
below the depth of the permanent pycnocline (i.e., 300 m), respectively, the
averaged <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values are <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32.9</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg, averaged
<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values are 42.5 and 32.5 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg, and averaged thicknesses (i.e.,
vertical extension of the subduction patch) are 127.5 and 126.6 m (Table 1).
In the subtropical region, the depth of the permanent pycnocline was deeper
(i.e., 450 m) and the subduction patches above and below this layer were
associated with a mean <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.2</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg,
mean <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of 31.2 and 36.4 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg, and mean thickness of
128.7 and 128.1 m (Table 1). In general, the vertical extension (i.e.,
thickness) of the subduction patches identified in each layer and in each
region did not vary much between 126.6 and 128.7 m. The mean <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were stronger above the depth of the permanent
pycnocline than those below the depth of the permanent pycnocline in the
subpolar region, yet the opposite case is shown for the subtropical region,
where the mean <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were weaker above the
depth of the permanent pycnocline than those below the depth of the permanent
pycnocline. Interestingly, it is noted that the mean <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values in the subtropical region below 450 m were also weaker than
those in the subpolar region above 300 m,<?pagebreak page5548?> which further supports the
potential northeast-to-southwest pathway of subducted waters shown in Fig. 7.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2187">Statistics of the subduction patches and the associated
oxygen exports into the ocean's interior. See Sect. 2.2.2 for details on
the calculation of the DO inventory. Note that these statistics are based on the
subduction patches identified, without considering their episodic
characteristics and spatial and temporal inhomogeneity. Note that the DO
inventories are the average values of the amount of oxygen injected into the ocean
interior by an episodic subduction event.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">Layer</oasis:entry>
         <oasis:entry colname="col3">Number of</oasis:entry>
         <oasis:entry colname="col4">Mean <inline-formula><mml:math id="M165" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>AOU</oasis:entry>
         <oasis:entry colname="col5">Mean <inline-formula><mml:math id="M166" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>DO</oasis:entry>
         <oasis:entry colname="col6">Mean thickness</oasis:entry>
         <oasis:entry colname="col7">DO inventory<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mtext>IA</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">DO inventory<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mtext>PH</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">patches</oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg)</oasis:entry>
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg)</oasis:entry>
         <oasis:entry colname="col6">(m)</oasis:entry>
         <oasis:entry colname="col7">(g O<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>/m<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">(g O<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>/m<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Subtropical</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M175" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 450 m</oasis:entry>
         <oasis:entry colname="col3">56</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">128.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mn mathvariant="normal">51.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">45.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mn mathvariant="normal">132.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">106.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula> m</oasis:entry>
         <oasis:entry colname="col3">104</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mn mathvariant="normal">36.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">128.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">64.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">50.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">161.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">103.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Subpolar</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> m</oasis:entry>
         <oasis:entry colname="col3">34</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">42.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mn mathvariant="normal">127.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">35.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mn mathvariant="normal">92.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">59.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mn mathvariant="normal">197.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">115.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> m</oasis:entry>
         <oasis:entry colname="col3">141</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">32.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mn mathvariant="normal">126.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">61.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">142.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">108.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Whole area</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula> m</oasis:entry>
         <oasis:entry colname="col3">161</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">36.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mn mathvariant="normal">126.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mn mathvariant="normal">68.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">52.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mn mathvariant="normal">160.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">108.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula> m</oasis:entry>
         <oasis:entry colname="col3">174</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">32.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mn mathvariant="normal">128.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>1</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mn mathvariant="normal">59.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">52.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mn mathvariant="normal">144.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">108.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2886">Most subduction patches with strong AOU anomalies were observed between
March and August (particularly March; see Fig. S4), after the seasonal mixed
layer began to shoal, consistent with expected higher levels of
phytoplankton production, which results in a greater degree of respiration
in the subducted waters. More respiration means a great degree of oxygen
consumption and thus a more negative offset from the surface-saturated
concentrations before subduction. Only 0.6 % of the total subduction
patches had <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg in January and
February (Fig. S4b). It should be noted that <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> also
strongly depends on the surface water temperature (which determines the
solubility of oxygen) when it is subducted. The <inline-formula><mml:math id="M215" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> anomalies show
similar variation patterns with months (peaked in March), with stronger
<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> coupled with stronger <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. S4c).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2964">Summary of the subduction patches associated with positive
and negative <inline-formula><mml:math id="M218" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> anomalies; bold numbers indicate statistics of the sum
and mean based on absolute values of <inline-formula><mml:math id="M219" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> anomalies.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Statistics</oasis:entry>
         <oasis:entry colname="col2">Number of</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1"><inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg) </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center" colsep="1"><inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol/kg) </oasis:entry>
         <oasis:entry rowsep="1" namest="col7" nameend="col8" align="center"><inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (kg/m<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">patches</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">mean(<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">mean(<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">mean(<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Total</oasis:entry>
         <oasis:entry colname="col2">335</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M232" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9248.43</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M233" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27.61</oasis:entry>
         <oasis:entry colname="col5">11 560.79</oasis:entry>
         <oasis:entry colname="col6">34.51</oasis:entry>
         <oasis:entry colname="col7"><bold>58.57</bold></oasis:entry>
         <oasis:entry colname="col8"><bold>0.17</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">279</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M235" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8303.75</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M236" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29.76</oasis:entry>
         <oasis:entry colname="col5">10 743.84</oasis:entry>
         <oasis:entry colname="col6">38.51</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M237" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>54.16</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M238" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.19</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">56</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M240" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>944.68</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M241" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.87</oasis:entry>
         <oasis:entry colname="col5">816.95</oasis:entry>
         <oasis:entry colname="col6">14.59</oasis:entry>
         <oasis:entry colname="col7">4.41</oasis:entry>
         <oasis:entry colname="col8">0.08</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ratio  (<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">4.98</oasis:entry>
         <oasis:entry colname="col3">8.79</oasis:entry>
         <oasis:entry colname="col4">1.76</oasis:entry>
         <oasis:entry colname="col5">13.15</oasis:entry>
         <oasis:entry colname="col6">2.64</oasis:entry>
         <oasis:entry colname="col7"><bold>12.28</bold></oasis:entry>
         <oasis:entry colname="col8"><bold>2.47</bold></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Oxygen injections into the twilight zone</title>
      <p id="d1e3400">Global ocean inventories of oxygen have been decreasing, and current climate
models predict this trend is likely to accelerate over the next century
(Oschlies et al., 2018). However, these models suffer from considerable gaps
in understanding, one of which is the absence of small-scale transport
processes such as the events captured here (Oschlies et al., 2018). The
average residual DO enrichment in the subduction patches, defined as the
difference in DO concentrations within and adjacent to the subducted waters,
was <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mn mathvariant="normal">34.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol O<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>/kg, with levels as high as
<inline-formula><mml:math id="M246" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 88 <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol O<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>/kg below 450 dbar during March. These
differences reflected <inline-formula><mml:math id="M249" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 % higher oxygen concentrations
than in the surrounding mesopelagic waters. The integrated DO enrichment
reached a maximum in March (Fig. 6d). Based on these residual excess oxygen
concentrations, the oxygen inventory within these features was estimated to
be on the order of 64 to 152 g O<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>/m<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Eqs. 1 and 2).
Specifically, the DO inventories below the permanent pycnocline in the
subtropical and subpolar regions were on the order of 64.3–161.5 and 61.2–142.1 g O<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>/m<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, respectively (Table 1). Note
that the DO inventories here are the average values of the amount of oxygen
injected into the ocean interior by an episodic subduction event. These oxygen
inventories may represent a significant source of ventilation to our study
region.</p>
      <p id="d1e3500">Co-injection of oxygen below the permanent pycnocline by eddy pumping has
not been given close consideration in previous studies, largely because it
is less relevant for high-latitude, oxygen-rich waters. However, weak ocean
ventilation in the tropical and subtropical mesopelagic zone is leading to
declining oxygen concentrations (Karstensen et al., 2008; Oschlies et al.,
2018; Robinson, 2019) and expansion of oxygen minimum zones in many regions
of the oceans (Stramma et al., 2008; Breitburg et al., 2018). These
episodic, dispersed subduction events likely represent a significant source
of ventilation to help offset the de-oxygenation phenomenon and to support
the expected climate-driven effects of increasing temperature on the
metabolic oxygen demand of mesopelagic organisms (Wohlers et al., 2009).
Enriched oxygen supplies into the mesopelagic zone will also influence
remineralization rates of sinking particulate organic carbon in the ocean's
twilight zone (Buesseler et al., 2007; Steinberg et al., 2008), affecting
carbon sequestration timescales. Current global-scale biogeochemical models
are too coarse to capture the effect that these sub-mesoscale processes may
have on mesoscale oxygen variability (Takano et al., 2018) or to account
for this additional oxygen supply. Overall, the intensity of these export
events below the permanent pycnocline is remarkable, and they should be
adequately considered in biogeochemical models.</p>
      <p id="d1e3503">Eddy-associated pumping is also one of several processes contributing to net
global ocean carbon export (McGillicuddy, 2016; Boyd et al., 2019), but its
importance is generally thought to be comparatively small because the
relatively shallow penetration leads to shorter<?pagebreak page5549?> carbon sequestration times
(Lévy et al., 2001; Karleskind et al., 2011a, b; Omand et
al., 2015; Nagai et al., 2015; Boyd et al., 2019). That is, much of the
carbon “exported” to the upper mesopelagic zone over spring and summer is
returned to the atmosphere by deep winter mixing. At higher latitudes, where
eddy pumping has been most studied, subduction must extend up to
<inline-formula><mml:math id="M254" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M255" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1000 m to reach below the permanent pycnocline
(Palevsky and Doney, 2018; Boyd et al., 2019). However, the permanent
pycnocline in the western North Pacific is much shallower – on the order of
<inline-formula><mml:math id="M256" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 300–450 dbar (Qiu and Huang, 1995; Feucher et al.,
2019) – and most of the observed subduction signals here extended far below
this depth (Tables 1 and S2). Thus although the subduction depths shown here
are similar to those observed at higher latitudes, they represent much
longer carbon sequestration timescales than those previously associated
with eddy pumping (Boyd et al., 2019). As such, in addition to oxygen
exports, the observed subduction patches seem to also transport large
amounts of carbon into the ocean interior particularly below the permanent
pycnocline. However, the lack of carbon measurements on the BGC-Argo floats
used in this study impeded us from quantifying the carbon inventory within the
subduction patches.</p>
      <p id="d1e3527">Because the BGC-Argo profiler only captures snapshots of subduction events,
it is impossible to quantify the vertical transporting rate, which is needed
to quantify export fluxes, of subduction from the BGC-Argo float data alone.
Alternatively, the lifetime of subduction patches could be used to infer
subduction rates, yet due to the dynamics and episodic characteristics of
eddy subduction, there are currently no estimates of how much time these
water masses maintain differentiated properties in the mesopelagic zone for, and
there are numerous physical and biogeochemical processes influencing them.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Surface forcing of subduction</title>
      <p id="d1e3539">The AOU, DO, and <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> anomalies were integrated within the study domain
over the year to assess the extent of subduction in the western North
Pacific (Fig. 6, Table 2). <inline-formula><mml:math id="M258" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> anomalies were divided into negative or
positive <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> – i.e., <inline-formula><mml:math id="M260" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> being greater or less than that
in surrounding waters – which can suggest their modes of formation. Negative
<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> would correspond with the subduction of colder and less
saline waters, such as along the edges of cyclonic eddies, while positive
<inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> would be associated with the eddy pumping of warmer-core,
anticyclonic eddies. The subduction patches were clearly dominated by
negative <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and more negative <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values
corresponded with much larger <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values (Fig. 6, Table 2), suggesting they were associated with cyclonic, cold-core,
upwelling-dominated eddies that have higher oxygen solubilities, higher nutrient
flux to the surface, and thus higher plankton production. Conversely, the
association of lower <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AOU</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>DO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values with positive
<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values would align with the lower oxygen solubility, nutrient
flux, and plankton production expected for<?pagebreak page5550?> warmer-core, downwelling,
anticyclonic eddies. Moreover, the majority of deep intrusions had negative
<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values (Fig. 6, Table 2) consistent with colder waters following
deeper isoclines. In contrast, anticyclonic eddies would push warm, lower-oxygen, and less-biomass-containing waters to shallower depths. These
findings suggest that tracking the activity of cyclonic eddies in regions
with shoaling permanent pycnoclines (Chelton et al., 2011; McGillicuddy,
2016) may be particularly important for quantifying these deeper subduction
processes.</p>
      <p id="d1e3686">The findings here indicate that eddy-associated subduction is an important
mechanism driving oxygen enrichment below the permanent pycnocline across
the western subtropical Pacific region, particularly near the Kuroshio
Extension (KE). Moreover, the abundance of these discrete, small-scale
subduction events is almost certainly under-sampled in the BGC-Argo dataset.
The frequency of this subduction is expected to vary as the KE oscillates
between two dynamic states – quasi-stable and unstable – linked to the
Pacific Decadal Oscillation (PDO) or North Pacific Gyre Oscillation (NPGO)
(Di Lorenzo et al., 2008). When quasi-stable, the KE jet shifts north and
generates less eddy activity than the unstable, highly meandering, southward
KE jet, which reduces eastward transport and sharply increases eddy kinetic
energy (Qiu and Chen, 2010; Lin et al., 2014). Superimposed on these KE
oscillations has been an increase in the ratio of cyclonic to anticyclonic
eddies associated with a climate-driven intensification of tropical storms
in the western Pacific and the multidecadal trend of acceleration in
Kuroshio flow (Zhang et al., 2020), suggesting that the importance of
eddy-associated subduction processes in this region has been increasing and
may continue to increase in the future. This linkage needs to be considered
in designing future ocean observation programs and the modeling of global
biogeochemical cycles to adequately capture the damping effects that eddy-associated subduction may exert on increasing atmospheric CO<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
de-oxygenation in the tropical and subtropical ocean.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e3707">Biogeochemical measurements obtained from the BGC-Argo float data provide
new insights into the small-scale vertical water mass exchange in the ocean.
In particular, spicity and AOU are key parameters in capturing the episodic
subduction events and their significance. Although these floats cannot
capture the full pathways of subduction, they provide first-hand data on the
locations, depths, timing, and strengths of episodic subduction patches. Here
we analyze float data in the western North Pacific and show significant
subduction export of dissolved oxygen to the mesopelagic zone particularly
below the permanent pycnocline; thus, the BGC-Argo data available over the
global oceans can be used to extend the current study to other oceanic
regions. Carbon measurements are needed to quantify the carbon export
associated with the subduction patches. These two factors – carbon export
and re-oxygenation – would help to offset the apparent budget imbalance
between the biological gravitational pump and mesopelagic carbon demand and would
support the increasing metabolic oxygen demand of mesopelagic organisms as
ocean warming continues.</p>
</sec>

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

      <p id="d1e3715">The BGC-Argo data used in this study were collected and made freely
available by the International Argo Program and the national programs that
contribute to it (<uri>http://www.argo.ucsd.edu</uri>, last access: 5 October 2019, <uri>http://argo.jcommops.org</uri>), archived in the Argo Global Data Assembly
Centre (<uri>http://doi.org/10.17882/42182</uri>, Argo, 2021) and quality-controlled
and made available by the China Argo Real-time Data Center (<uri>http://www.argo.org.cn</uri>, last access: 5 October 2019). The satellite SLA and geostrophic velocity data
are from the Archiving, Validation and Interpretation of Satellite Oceanographic data (AVISO) and can be downloaded from the Copernicus Marine
Environment Monitoring Service (<uri>https://marine.copernicus.eu/</uri>, last access: 5 October 2019).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3733">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-18-5539-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-18-5539-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3742">SC was responsible for data processing and drafting the manuscript. RXH and HX took the lead in data analysis from the perspective of physical
oceanography. MLW and FC contributed to the biogeochemical analysis,
and FC designed and coordinated the overall research project. All authors
contributed to the ideas and writing of this paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3748">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e3754">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3760">The authors thank NSFC, Second Institute of Oceanography MNR, and the Pilot National Laboratory for Marine Science and Technology (Qingdao) for the financial support. The authors also thank Argo Global Data Assembly Centre, the China Argo Real time Data Center, and the Copernicus Marine Environment Monitoring Service for providing the data used in this study. The authors thank Joan Llort and the two anonymous reviewers for helping us improve the paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3765">This work was supported by the National Natural Science Foundation of China (NSFC) projects (grant nos. 41906159, 42030708, and 41730536), the Scientific Research Fund of the Second Institute of Oceanography MNR (grant<?pagebreak page5551?> no. 14283), and the Marine S&amp;T Fund of Shandong Province for the Pilot National Laboratory for Marine Science and Technology (Qingdao) (grant no. 2018SDKJ0206).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3771">This paper was edited by Emilio Marañón and reviewed by Joan Llort and two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Argo: Argo float data and metadata from Global Data Assembly Centre (Argo GDAC), SEANOE [data set], <ext-link xlink:href="https://doi.org/10.17882/42182" ext-link-type="DOI">10.17882/42182</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Boyd, P. W., Claustre, H., Levy, M., Siegel, D. A., and Weber, T.:
Multi-faceted particle pumps drive carbon sequestration in the ocean,
Nature, 568, 327–335,
<ext-link xlink:href="https://doi.org/10.1038/s41586-019-1098-2" ext-link-type="DOI">10.1038/s41586-019-1098-2</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>Brainerd, K. E. and Gregg, M. C.: Surface mixed and mixing layer depths,
Deep.-Sea. Res. Pt. I., 42, 1521-1543,
<ext-link xlink:href="https://doi.org/10.1016/0967-0637(95)00068-h" ext-link-type="DOI">10.1016/0967-0637(95)00068-h</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Breitburg, D., Levin, L. A., Oschlies, A., Grégoire, M., Chavez, F. P.,
Conley, D. J., Garcon, V., Gilbert, D., Gutiérrez, D., Isensee, K.,
Jacinto, G.S., Limburg, K. E., Montes, I., Naqvi, S. W. A., Pitcher, G. C.,
Rabalais, N. N., Roman, M. R., Rose, K. A., Seibel, B. A., Telszewski, M.,
Yasuhara, M., and Zhang, J.: Declining oxygen in the global ocean and
coastal waters, Science, 359, eaam7240,
<ext-link xlink:href="https://doi.org/10.1126/science.aam7240" ext-link-type="DOI">10.1126/science.aam7240</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Buesseler, K. O., Lamborg, C. H., Boyd, P. W., Lam, P. J., Trull, T. W.,
Bidigare, R. R., Bishop, J. K. B., Casciotti, K. L., Dehairs, F., Elskens,
M., Honda, M., Karl, D. M., Siegel, D. A., Silver, M. W., Steinberg, D. K.,
Valdes, J., Mooy, B. V., and Wilson, S.: Revisiting Carbon Flux Through the
Ocean's Twilight Zone. Science, 316, 567–570,
<ext-link xlink:href="https://doi.org/10.1126/science.1137959" ext-link-type="DOI">10.1126/science.1137959</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Bushinsky, S. M. and Emerson, S. R.: Biological and physical controls on the
oxygen cycle in the Kuroshio Extension from an array of profiling floats,
Deep.-Sea. Res. Pt. I., 141, 51–70,
<ext-link xlink:href="https://doi.org/10.1016/j.dsr.2018.09.005" ext-link-type="DOI">10.1016/j.dsr.2018.09.005</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Catala, T. S., Martinez-Perez, A. M., Nieto-Cid, M., Alvarez, M., Otero, J.,
Emelianov, M., Reche, I., Aristegui, J., and Alvarez-Salgado, X. A.:
Dissolved Organic Matter (DOM) in the open Mediterranean Sea. I. Basin-wide
distribution and drivers of chromophoric DOM, Prog. Oceanogr., 165, 35–51,
<ext-link xlink:href="https://doi.org/10.1016/j.pocean.2018.05.002" ext-link-type="DOI">10.1016/j.pocean.2018.05.002</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Chai, F., Johnson, K. S., Claustre, H., Xing, X., Wang, Y., Boss, E., Riser,
S., Fennel, K., Schofield, O., and Sutton, A.: Monitoring ocean
biogeochemistry with autonomous platforms, Nat. Rev. Earth Environ., 1, 315–326,
<ext-link xlink:href="https://doi.org/10.1038/s43017-020-0053-y" ext-link-type="DOI">10.1038/s43017-020-0053-y</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Chelton, D. B., Schlax, M. G., and Samelson, R. M.: Global observations of
nonlinear mesoscale eddies, Prog. Oceanogr., 91, 167–216,
<ext-link xlink:href="https://doi.org/10.1016/j.pocean.2011.01.002" ext-link-type="DOI">10.1016/j.pocean.2011.01.002</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Claustre, H., Johnson, K. S., and Takeshita, Y.: Observing the Global Ocean
with Biogeochemical-Argo, Annu. Rev. Mar. Sci., 12, 1–26,
<ext-link xlink:href="https://doi.org/10.1146/annurev-marine-010419-010956" ext-link-type="DOI">10.1146/annurev-marine-010419-010956</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Cronin, M. F., Bond, N. A., Farrar, J. T., Ichikawa, H., Jayne, S. R.,
Kawai, Y., Konda, M., Qiu, B., Rainville, L., and Tomita, H.: Formation and
erosion of the seasonal thermocline in the Kuroshio Extension Recirculation
Gyre, Deep.-Sea. Res. Pt. II., 85, 62–74,
<ext-link xlink:href="https://doi.org/10.1016/j.dsr2.2012.07.018" ext-link-type="DOI">10.1016/j.dsr2.2012.07.018</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Dall'Olmo, G., Dingle, J., Polimene, L., Brewin, R. J., and Claustre, H.:
Substantial energy input to the mesopelagic ecosystem from the seasonal
mixed-layer pump, Nat. Geosci., 9, 820–823,
<ext-link xlink:href="https://doi.org/10.1038/ngeo2818" ext-link-type="DOI">10.1038/ngeo2818</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Di Lorenzo, E., Schneider, N., Cobb, K. M., Franks, P. J. S., Chhak, K.,
Miller, A. J., McWilliams, J. C., Bograd, S. J., Arango, H., Curchitser, E.,
Powell, T. M., and Riviere, P.: North Pacific Gyre Oscillation links ocean
climate and ecosystem change, Geophys. Res. Lett., 35, 1–6,
<ext-link xlink:href="https://doi.org/10.1029/2007GL032838" ext-link-type="DOI">10.1029/2007GL032838</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Emerson, S., Mecking, S., and Abell, J.: The biological pump in the
subtropical North Pacific Ocean: Nutrient sources, Redfield ratios, and
recent changes, Global. Biogeochem. Cy., 15, 535–554,
<ext-link xlink:href="https://doi.org/10.1029/2000GB001320" ext-link-type="DOI">10.1029/2000GB001320</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Emerson, S.: Annual net community production and the biological carbon flux
in the ocean, Global. Biogeochem. Cy., 28, 14–28,
<ext-link xlink:href="https://doi.org/10.1002/2013GB004680" ext-link-type="DOI">10.1002/2013GB004680</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Estapa, M. L., Feen, M. L., and Breves, E.: Direct observations of
biological carbon export from profiling floats in the subtropical North
Atlantic, Global. Biogeochem. Cy., 33, 282–300,
<ext-link xlink:href="https://doi.org/10.1029/2018GB006098" ext-link-type="DOI">10.1029/2018GB006098</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Feucher, C., Maze, G., and Mercier, H.: Subtropical mode water and permanent
pycnocline properties in the world ocean, J. Geophys. Res., 124, 1139–1154,
<ext-link xlink:href="https://doi.org/10.1029/2018JC014526" ext-link-type="DOI">10.1029/2018JC014526</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Flament, P.: A state variable for characterizing water masses and their
diffusive stability: spiciness, Prog. Oceanogr., 54, 493–501,
<ext-link xlink:href="https://doi.org/10.1016/S0079-6611(02)00065-4" ext-link-type="DOI">10.1016/S0079-6611(02)00065-4</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Garcia, H. E. and Gordon, L. I.: Oxygen solubility in seawater: Better fitting
equations, Limnol. Oceanogr., 37, 1307–1312,
<ext-link xlink:href="https://doi.org/10.4319/lo.1992.37.6.1307" ext-link-type="DOI">10.4319/lo.1992.37.6.1307</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Hosoda, S., Inoue, R., Nonaka, M., Sasaki, H., Sasai, Y., and Hirano, M.:
Rapid water parcel transport across the Kuroshio Extension in the lower
thermocline from dissolved oxygen measurements by Seaglider, Prog. Earth Planet. Sci., 8, 1–19,
<ext-link xlink:href="https://doi.org/10.1186/s40645-021-00406-x" ext-link-type="DOI">10.1186/s40645-021-00406-x</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>
Huang, R. X.: Ocean Circulation, wind-driven and thermohaline processes,
Cambridge Press, Cambridge, 810 pp., 2010.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Huang, R. X.: Defining the spicity, J. Mar. Res., 69, 545–559,
<ext-link xlink:href="https://doi.org/10.1357/002224011799849390" ext-link-type="DOI">10.1357/002224011799849390</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Huang, R. X., Yu, L. S., and Zhou, S. Q.: New definition of potential spicity
by the least square method,  J. Geophys. Res.-Oceans., 123, 7351–7365,
<ext-link xlink:href="https://doi.org/10.1029/2018JC014306" ext-link-type="DOI">10.1029/2018JC014306</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Hurlburt, H. E., Wallcraft, A. J., Schmitz Jr, W. J., Hogan, P. J., and Metzger,
E. J.: Dynamics of the Kuroshio/Oyashio current system using eddy-resolving
models of the North Pacific Ocean, J. Geophys. Res.-Oceans., 101, 941–976,
<ext-link xlink:href="https://doi.org/10.1029/95JC01674" ext-link-type="DOI">10.1029/95JC01674</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Inoue, R., Honda, M. C., Fujiki, T., Matsumoto, K., Kouketsu, S., Suga, T.,
and Saino, T.: Western North Pacific integrated physical-biogeochemical
ocean observation experiment (INBOX): Part 2. Biogeochemical responses to
eddies and typhoons revealed from the S1 mooring and shipboard measurements,
J. Mar. Res., 74, 71–99,
<ext-link xlink:href="https://doi.org/10.1357/002224016819257335" ext-link-type="DOI">10.1357/002224016819257335</ext-link>, 2016a.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Inoue, R., Suga, T., Kouketsu, S., Kita, T., Hosoda, S., Kobayashi, T.,
Sato, K., Nakajima, H., and Kawano, T.: Western nort<?pagebreak page5552?>h Pacific integrated
physical-biogeochemical ocean observation experiment (INBOX): part 1.
Specifications and chronology of the S1-INBOX floats, J. Mar. Res., 74,
43–69,  <ext-link xlink:href="https://doi.org/10.1357/002224016819257344" ext-link-type="DOI">10.1357/002224016819257344</ext-link>, 2016b.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>
Jing, Z., Wang, S., Wu, L., Chang, P., Zhang, Q., Sun, B., Ma, X., Qiu, B.,
Small, J., Jin, F., Chen, Z., Gan, B., Yang, Y., Yang, H., and Wan, X.:
Maintenance of mid-latitude oceanic fronts by mesoscale eddies, Sci. Adv., 6, eaba7880,
doi:10.1126/sciadv.aba7880, 2020.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Joyce, T. M., Yasuda, I., Hiroe, Y., Komatsu, K., Kawasaki, K., and Bahr,
F.: Mixing in the meandering Kuroshio Extension and the formation of North
Pacific Intermediate Water, J. Geophys. Res.-Oceans, 106, 4397–4404,
<ext-link xlink:href="https://doi.org/10.1029/2000JC000232" ext-link-type="DOI">10.1029/2000JC000232</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Karleskind, P., Lévy, M., and Mémery, L.: Subduction of carbon,
nitrogen, and oxygen in the northeast Atlantic, J. Geophys. Res.-Oceans,
116, C02025,  <ext-link xlink:href="https://doi.org/10.1029/2010JC006446" ext-link-type="DOI">10.1029/2010JC006446</ext-link>, 2011a.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Karleskind, P., Lévy, M., and Mémery, L.: Modifications of mode
water properties by sub-mesoscales in a bio-physical model of the Northeast
Atlantic, Ocean. Model., 39, 47–60,
<ext-link xlink:href="https://doi.org/10.1016/j.ocemod.2010.12.003" ext-link-type="DOI">10.1016/j.ocemod.2010.12.003</ext-link>, 2011b.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Karstensen, J., Stramma, L., and Visbeck, M.: Oxygen minimum zones in the
eastern tropical Atlantic and Pacific oceans, Prog. Oceanogr., 77, 331–350,
<ext-link xlink:href="https://doi.org/10.1016/j.pocean.2007.05.009" ext-link-type="DOI">10.1016/j.pocean.2007.05.009</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Kawakami, Y., Sugimoto, S., and Suga, T.: Inter-annual zonal shift of the
formation region of the lighter variety of the north pacific central mode
water, J. Oceanogr., 72, 1–10,
<ext-link xlink:href="https://doi.org/10.1007/s10872-015-0325-1" ext-link-type="DOI">10.1007/s10872-015-0325-1</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Koch-Larrouy, A., Morrow, R., Penduff, T., and Juza, M.: Origin and
mechanism of Subantarctic Mode Water formation and transformation in the
Southern Indian Ocean, Ocean. Dynam., 60, 563–583,
<ext-link xlink:href="https://doi.org/10.1007/s10236-010-0276-4" ext-link-type="DOI">10.1007/s10236-010-0276-4</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Kouketsu, S., Inoue, R., and Suga, T.: Western North Pacific integrated
physical-biogeochemical ocean observation experiment (INBOX): part 3.
Mesoscale variability of dissolved oxygen concentrations observed by
multiple floats during S1-INBOX, J. Mar. Res., 74, 101–131,
<ext-link xlink:href="https://doi.org/10.1357/002224016819257326" ext-link-type="DOI">10.1357/002224016819257326</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Lévy, M., Klein, P., and Treguier, A. M.: Impact of sub-mesoscale physics
on production and subduction of phytoplankton in an oligotrophic regime, J.
Mar. Res., 59, 535–565,
<ext-link xlink:href="https://doi.org/10.1357/002224001762842181" ext-link-type="DOI">10.1357/002224001762842181</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Lin, P., Chai, F., Xue, H., and Xiu, P.: Modulation of decadal oscillation
on surface chlorophyll in the Kuroshio Extension, J. Geophys. Res.-Oceans,
119, 187–199,  <ext-link xlink:href="https://doi.org/10.1002/2013JC009359" ext-link-type="DOI">10.1002/2013JC009359</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Liu, L. L. and Huang, R. X.: The global subduction/obduction rates: Their
interannual and decadal variability, J. Climate, 25, 1096–1115,
<ext-link xlink:href="https://doi.org/10.1175/2011JCLI4228.1" ext-link-type="DOI">10.1175/2011JCLI4228.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Liu, Y., Dong, C., Guan, Y., Chen, D., McWilliams, J., and Nencioli, F.:
Eddy analysis in the subtropical zonal band of the North Pacific Ocean,
Deep.-Sea. Res. Pt. I., 68, 54–67,
<ext-link xlink:href="https://doi.org/10.1016/j.dsr.2012.06.001" ext-link-type="DOI">10.1016/j.dsr.2012.06.001</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>Llort, J., Langlais, C., Matear, R., Moreau, S., Lenton, A., and Strutton,
P.G.: Evaluating Southern Ocean carbon eddy-pump from biogeochemical-Argo
floats, J. Geophys. Res.-Oceans, 123, 971–984,
<ext-link xlink:href="https://doi.org/10.1002/2017JC012861" ext-link-type="DOI">10.1002/2017JC012861</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Ma, X., Chang, P., Saravanan, R., Montuoro, R., Nakamura, H., Wu, D., Lin,
X., and Wu, L.: Importance of resolving Kuroshio front and eddy influence in
simulating the North Pacific storm track, J. Climate, 30, 1861–1880,
<ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0154.1" ext-link-type="DOI">10.1175/JCLI-D-16-0154.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Marshall, J. C., Williams, R. G., and Nurser, A. G.: Inferring the subduction
rate and period over the North Atlantic, J. Phys. Oceanogr., 23, 1315–1329,
<ext-link xlink:href="https://doi.org/10.1175/1520-0485(1993)023&lt;1315:ITSRAP&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0485(1993)023&lt;1315:ITSRAP&gt;2.0.CO;2</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Martin, A., Boyd, P., Buesseler, K., Cetinic, I., Claustre, H., Giering, S.,
Henson, S., Irigoien, X., Kriest, I., Memery, L., Robinson, C., Saba, G.,
Sanders, R., Siegel, D., Villa-Alfageme, M., and Guidi, L.: The oceans'
twilight zone must be studied now, before it is too late, Nature, 580,
26–28,  <ext-link xlink:href="https://doi.org/10.1038/d41586-020-00915-7" ext-link-type="DOI">10.1038/d41586-020-00915-7</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>
McDougall, T. and Barker, P.: Getting started with TEOS-10 and the Gibbs
Seawater (GSW) oceanographic toolbox, SCOR/IAPSO WG127, 28 pp., 2011.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>McDougall, T. J. and Krzysik, O. A.: Spiciness, J. Mar. Res., 73, 141–152,
<ext-link xlink:href="https://doi.org/10.1357/002224015816665589" ext-link-type="DOI">10.1357/002224015816665589</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>McGillicuddy, D. J.: Mechanisms of Physical-Biological-Biogeochemical
Interaction at the Oceanic Mesoscale, Annu. Rev. Mar. Sci., 8, 125–159,
<ext-link xlink:href="https://doi.org/10.1146/annurev-marine-010814-015606" ext-link-type="DOI">10.1146/annurev-marine-010814-015606</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Nagai, T., Gruber, N., Frenzel, H., Lachkar, Z., McWilliams, J. C., and
Plattner, G. K.: Dominant role of eddies and filaments in the offshore
transport of carbon and nutrients in the California Current System, J. Geophys. Res.-Oceans, 120, 5318–5341,
<ext-link xlink:href="https://doi.org/10.1002/2015JC010889" ext-link-type="DOI">10.1002/2015JC010889</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Nagano, A., Suga, T., Kawai, Y., Wakita, M., Uehara, K., and Taniguchi, K.:
Ventilation revealed by the observation of dissolved oxygen concentration
south of the Kuroshio Extension during 2012–2013, J. Oceanogr., 72,
837–850,  <ext-link xlink:href="https://doi.org/10.1007/s10872-016-0386-9" ext-link-type="DOI">10.1007/s10872-016-0386-9</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Nie, X., Gao, S., Wang, F., and Qu, T.: Subduction of north pacific tropical
water and its equatorward pathways as shown by a simulated passive tracer,
J. Geophys. Res.-Oceans, 121, 8770–8786,
<ext-link xlink:href="https://doi.org/10.1002/2016JC012305" ext-link-type="DOI">10.1002/2016JC012305</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Nishikawa, S., Tsujino, H., Sakamoto, K. and Nakano, H.: Effects of
mesoscale eddies on subduction and distribution of subtropical mode water in
an eddy-resolving OGCM of the western North Pacific, J. Phys. Oceanogr., 40,
1748–1765,  <ext-link xlink:href="https://doi.org/10.1175/2010JPO4261.1" ext-link-type="DOI">10.1175/2010JPO4261.1</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Oka, E., Toyama, K., and Suga, T.: Subduction of North Pacific central mode
water associated with subsurface mesoscale eddy, Geophys. Res. Lett., 36,
L08607,  <ext-link xlink:href="https://doi.org/10.1029/2009GL037540" ext-link-type="DOI">10.1029/2009GL037540</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Oka, E. and Qiu, B.: Progress of North Pacific mode water research in the
past decade, J. Oceanogr., 68, 5–20,
<ext-link xlink:href="https://doi.org/10.1007/s10872-011-0032-5" ext-link-type="DOI">10.1007/s10872-011-0032-5</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>Okuda, K., Yasuda, I., Hiroe, Y., and Shimizu, Y.: Structure of subsurface
intrusion of the Oyashio water into the Kuroshio Extension and formation
process of the North Pacific Intermediate Water, J. Oceanogr., 57, 121–140,
<ext-link xlink:href="https://doi.org/10.1023/A:1011135006278" ext-link-type="DOI">10.1023/A:1011135006278</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>Omand, M. M., D'Asaro, E. A., Lee, C. M., Perry, M. J., Briggs, N., Cetinić,
I., and Mahadevan, A.: Eddy-driven subduction exports particulate organic
carbon from the spring bloom, Science, 348, 222–225,
<ext-link xlink:href="https://doi.org/10.1126/science.1260062" ext-link-type="DOI">10.1126/science.1260062</ext-link>, 2015.</mixed-citation></ref>
      <?pagebreak page5553?><ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Oschlies, A., Brandt, P., Stramma, L., and Schmidtko, S.: Drivers and
mechanisms of ocean deoxygenation, Nat. Geosci., 11, 467–473,
<ext-link xlink:href="https://doi.org/10.1038/s41561-018-0152-2" ext-link-type="DOI">10.1038/s41561-018-0152-2</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Palevsky, H. I. and Doney, S. C.: How choice of depth horizon influences the
estimated spatial patterns and global magnitude of ocean carbon export flux,
Geophys. Res. Lett., 45, 4171–4179,
<ext-link xlink:href="https://doi.org/10.1029/2017GL076498" ext-link-type="DOI">10.1029/2017GL076498</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><?label 1?><mixed-citation>Pan, X., Achterberg, E. P., Sanders, R., Poulton, A. J., Oliver, K. I., and
Robinson, C.: Dissolved organic carbon and apparent oxygen utilization in
the Atlantic Ocean, Deep.-Sea. Res. Pt. I, 85, 80–87,
<ext-link xlink:href="https://doi.org/10.1016/j.dsr.2013.12.003" ext-link-type="DOI">10.1016/j.dsr.2013.12.003</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><?label 1?><mixed-citation>Qiu, B. and Huang, R. X.: Ventilation of the North Atlantic and North
Pacific: subduction versus obduction, J. Phys. Oceanogr., 25, 2374–2390,
<ext-link xlink:href="https://doi.org/10.1175/1520-0485(1995)025&lt;2374:VOTNAA&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0485(1995)025&lt;2374:VOTNAA&gt;2.0.CO;2</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><?label 1?><mixed-citation>Qiu, B., Chen, S., and Hacker, P.: Effect of mesoscale eddies on subtropical
mode water variability from the Kuroshio Extension System Study (KESS), J.
Phys. Oceanogr., 37, 982–1000,
<ext-link xlink:href="https://doi.org/10.1175/JPO3097.1" ext-link-type="DOI">10.1175/JPO3097.1</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><?label 1?><mixed-citation>Qiu, B. and Chen, S.: Eddy-mean flow interaction in the decadally modulating
Kuroshio Extension system, Deep.-Sea. Res. Pt. II., 57, 1098–1110,
<ext-link xlink:href="https://doi.org/10.1016/j.dsr2.2008.11.036" ext-link-type="DOI">10.1016/j.dsr2.2008.11.036</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><?label 1?><mixed-citation>Qu, T., Xie, S. P., Mitsudera, H., and Ishida, A.: Subduction of the North
Pacific mode waters in a global high-resolution GCM, J. Phys. Oceanogr., 32,
746–763, <ext-link xlink:href="https://doi.org/10.1175/1520-0485(2002)032&lt;0746:SOTNPM&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0485(2002)032&lt;0746:SOTNPM&gt;2.0.CO;2</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><?label 1?><mixed-citation>Qu, T. and Chen, J.: A North Pacific decadal variability in subduction rate,
Geophys. Res. Lett., 36, L22602,
<ext-link xlink:href="https://doi.org/10.1029/2009GL040914" ext-link-type="DOI">10.1029/2009GL040914</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><?label 1?><mixed-citation>Resplandy, L., Lévy, M., and Mcgillicuddy, D. J.: Effects of eddy-driven
subduction on ocean biological carbon pump, Global. Biogeochem. Cy., 33,
1071–1084,  <ext-link xlink:href="https://doi.org/10.1029/2018GB006125" ext-link-type="DOI">10.1029/2018GB006125</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><?label 1?><mixed-citation>Robinson, C.: Microbial respiration, the engine of ocean deoxygenation,
Front. Mar. Sci., 5, 533,
<ext-link xlink:href="https://doi.org/10.3389/fmars.2018.00533" ext-link-type="DOI">10.3389/fmars.2018.00533</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><?label 1?><mixed-citation>Sabine, C. L., Feely, R. A., Gruber, N., Key, R. M., Lee, K., Bullister, J.L.,
Wanninkhof, R., Wong, C. S. L., Wallace, D. W., Tilbrook, B., and Millero,
F. J.: The oceanic sink for anthropogenic CO<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Science, 305, 367–371,
<ext-link xlink:href="https://doi.org/10.1126/science.1097403" ext-link-type="DOI">10.1126/science.1097403</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><?label 1?><mixed-citation>
Sarmiento, J. L. and Gruber, N.: Ocean biogeochemical dynamics, Princeton
University Press,  528 pp., 2006.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><?label 1?><mixed-citation>Sasaki, H., Klein, P., Qiu, B., and Sasai, Y.: Impact of oceanic-scale
interactions on the seasonal modulation of ocean dynamics by the
atmosphere, Nat. Commun., 5, 5636,
<ext-link xlink:href="https://doi.org/10.1038/ncomms6636" ext-link-type="DOI">10.1038/ncomms6636</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><?label 1?><mixed-citation>Stommel, H. M.: Determination of water mass properties of water pumped down
from the Ekman layer to the geostrophic flow below, P. Natl. Acad. Sci. USA, 76, 3051–3055,  <ext-link xlink:href="https://doi.org/10.1073/pnas.76.7.3051" ext-link-type="DOI">10.1073/pnas.76.7.3051</ext-link>,
1979.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><?label 1?><mixed-citation>Steinberg, D. K., Van Mooy, B. A., Buesseler, K. O., Boyd, P. W., Kobari,
T., and Karl, D. M.: Bacterial vs. zooplankton control of sinking particle
flux in the ocean's twilight zone, Limnol. Oceanogr., 53, 1327–1338,
<ext-link xlink:href="https://doi.org/10.4319/lo.2008.53.4.1327" ext-link-type="DOI">10.4319/lo.2008.53.4.1327</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><?label 1?><mixed-citation>Stramma, L., Johnson, G. C., Sprintall, J., and Mohrholz, V.: Expanding
oxygen-minimum zones in the tropical oceans, Science, 320, 655–658,
<ext-link xlink:href="https://doi.org/10.1126/science.1153847" ext-link-type="DOI">10.1126/science.1153847</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><?label 1?><mixed-citation>Stukel, M. R., Aluwihare, L. I., Barbeau, K. A., Chekalyuk, A. M., Goericke, R.,
Miller, A. J., Ohman, M. D., Ruacho, A., Song, H., Stephens, B. M., and Landry,
M. R.: Mesoscale ocean fronts enhance carbon export due to gravitational
sinking and subduction, P. Natl. Acad. Sci. USA, 114, 1252–1257,
<ext-link xlink:href="https://doi.org/10.1073/pnas.1609435114" ext-link-type="DOI">10.1073/pnas.1609435114</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><?label 1?><mixed-citation>Stukel, M. R., Song, H., Goericke, R., and Miller, A. J.: The role of
subduction and gravitational sinking in particle export, carbon
sequestration, and the remineralization length scale in the California
Current Ecosystem, Limnol. Oceanogr., 63, 363–383,
<ext-link xlink:href="https://doi.org/10.1002/lno.10636" ext-link-type="DOI">10.1002/lno.10636</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><?label 1?><mixed-citation>Takano, Y., Ito, T., and Deutsch, C.: Projected centennial oxygen trends and
their attribution to distinct ocean climate forcings, Global. Biogeochem.
Cy., 32, 1329–1349,  <ext-link xlink:href="https://doi.org/10.1029/2018GB005939" ext-link-type="DOI">10.1029/2018GB005939</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><?label 1?><mixed-citation>Talley, L. D.: North Pacific Intermediate Water transports in the mixed
water region, J. Phys. Oceanogr., 27, 1795–1803,
<ext-link xlink:href="https://doi.org/10.1175/1520-0485(1997)027&lt;1795:NPIWTI&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0485(1997)027&lt;1795:NPIWTI&gt;2.0.CO;2</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><?label 1?><mixed-citation>
Williams, R. G.: Ocean Subduction, in: Encyclopedia of Ocean Sciences, edited
by: Cochran, J. K., Bokuniewicz, H., and Yager, P., Elsevier, 1982–1993,
2001.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><?label 1?><mixed-citation>Wohlers, J., Engel, A., Zöllner, E., Breithaupt, P., Jürgens, K.,
Hoppe, H. G., Sommer, U., and Riebesell, U.: Changes in biogenic carbon flow
in response to sea surface warming, Proceedings of the national academy of
sciences, 106, 7067–7072,
<ext-link xlink:href="https://doi.org/10.1073/pnas.0812743106" ext-link-type="DOI">10.1073/pnas.0812743106</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><?label 1?><mixed-citation>Xu, L., Xie, S. P., McClean, J. L., Liu, Q., and Sasaki, H.: Mesoscale eddy
effects on the subduction of North Pacific mode waters, J. Geophys. Res.-Oceans, 119, 4867–4886,
<ext-link xlink:href="https://doi.org/10.1002/2014JC009861" ext-link-type="DOI">10.1002/2014JC009861</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><?label 1?><mixed-citation>Xu, L., Li, P., Xie, S. P., Liu, Q., Liu, C., and Gao, W.: Observing
mesoscale eddy effects on mode-water subduction and transport in the North
Pacific, Nat. Commun., 7, 10505,
<ext-link xlink:href="https://doi.org/10.1038/ncomms10505" ext-link-type="DOI">10.1038/ncomms10505</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><?label 1?><mixed-citation>Yasuda, I., Okuda, K., and Shimizu, Y.: Distribution and modification of
North Pacific Intermediate Water in the Kuroshio-Oyashio interfrontal zone,
J. Phys. Oceanogr., 26, 448–465,
<ext-link xlink:href="https://doi.org/10.1175/1520-0485(1996)026&lt;0448:DAMONP&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0485(1996)026&lt;0448:DAMONP&gt;2.0.CO;2</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><?label 1?><mixed-citation>Yu, J., Gan, B., Zhao J., and Wu, L.: Winter Extreme Mixed Layer Depth South
of the Kuroshio Extension, J. Climate, 33, 10419–10436,
<ext-link xlink:href="https://doi.org/10.1175/JCLI-D-20-0119.1" ext-link-type="DOI">10.1175/JCLI-D-20-0119.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><?label 1?><mixed-citation>Zhang, Z., Wang, W., and Qiu, B.: Oceanic mass transport by mesoscale
eddies, Science, 345, 322–324,
<ext-link xlink:href="https://doi.org/10.1126/science.1252418" ext-link-type="DOI">10.1126/science.1252418</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><?label 1?><mixed-citation>Zhang, Z., Li, P., Xu, L., Li, C., Zhao, W., Tian, J., and Qu, T.:
Subthermocline eddies observed by rapid-sampling Argo floats in the
subtropical northwestern Pacific Ocean in Spring 2014, Geophys. Res. Lett.,
42, 6438–6445,  <ext-link xlink:href="https://doi.org/10.1002/2015GL064601" ext-link-type="DOI">10.1002/2015GL064601</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><?label 1?><mixed-citation>Zhang, Y., Zhang, Z., Chen, D., Qiu, B., and Wang, W.: Strengthening of the
Kuroshio current by intensifying tropical cyclones, Science, 368, 988–993,
<ext-link xlink:href="https://doi.org/10.1126/science.aax5758" ext-link-type="DOI">10.1126/science.aax5758</ext-link>, 2020.</mixed-citation></ref>
      <?pagebreak page5554?><ref id="bib1.bib83"><label>83</label><?label 1?><mixed-citation>Zhu, R., Chen, Z., Zhang, Z., Yang, H., and Wu, L.: Subthermocline eddies in
the Kuroshio Extension region observed by mooring arrays, J. Phys.
Oceanogr., 51, 439–455,
<ext-link xlink:href="https://doi.org/10.1175/JPO-D-20-0047.1" ext-link-type="DOI">10.1175/JPO-D-20-0047.1</ext-link>, 2021.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Episodic subduction patches in the western North Pacific identified from BGC-Argo float data</article-title-html>
<abstract-html><p>Subduction associated with mesoscale eddies is an important but difficult-to-observe process that can efficiently export carbon and oxygen to the
mesopelagic zone (100–1000&thinsp;dbar). Using a novel BGC-Argo dataset covering the
western North Pacific (20–50°&thinsp;N, 120–180°&thinsp;E), we
identified imprints of episodic subduction using anomalies in dissolved
oxygen and spicity, a water mass marker. These subduction patches were
present in 4.0&thinsp;% (288) of the total profiles (7120) between 2008 and
2019, situated mainly in the Kuroshio Extension region between March and
August (70.6&thinsp;%). Roughly 31&thinsp;% and 42&thinsp;% of the subduction patches were
identified below the annual permanent pycnocline depth (300&thinsp;m vs. 450&thinsp;m) in the
subpolar and subtropical regions, respectively. Around half (52&thinsp;%) of these episodic events injected oxygen-enriched waters below the maximum
annual permanent thermocline depth (450&thinsp;dbar), with  &gt; 20&thinsp;%
occurring deeper than 600&thinsp;dbar. Subduction patches were detected during winter
and spring when mixed layers are deep. The oxygen inventory within these
subductions is estimated to be on the order of 64 to 152&thinsp;g&thinsp;O<sub>2</sub>/m<sup>2</sup>.
These mesoscale events would markedly increase oxygen ventilation as well as
carbon removal in the region, both processes helping to support the nutritional and
metabolic demands of mesopelagic organisms. Climate-driven patterns of
increasing eddy kinetic energies in this region imply that the magnitude of
these processes will grow in the future, meaning that these unexpectedly
effective small-scale subduction processes need to be better constrained in
global climate and biogeochemical models.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Argo: Argo float data and metadata from Global Data Assembly Centre (Argo GDAC), SEANOE [data set], <a href="https://doi.org/10.17882/42182" target="_blank">https://doi.org/10.17882/42182</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Boyd, P. W., Claustre, H., Levy, M., Siegel, D. A., and Weber, T.:
Multi-faceted particle pumps drive carbon sequestration in the ocean,
Nature, 568, 327–335,
<a href="https://doi.org/10.1038/s41586-019-1098-2" target="_blank">https://doi.org/10.1038/s41586-019-1098-2</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Brainerd, K. E. and Gregg, M. C.: Surface mixed and mixing layer depths,
Deep.-Sea. Res. Pt. I., 42, 1521-1543,
<a href="https://doi.org/10.1016/0967-0637(95)00068-h" target="_blank">https://doi.org/10.1016/0967-0637(95)00068-h</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Breitburg, D., Levin, L. A., Oschlies, A., Grégoire, M., Chavez, F. P.,
Conley, D. J., Garcon, V., Gilbert, D., Gutiérrez, D., Isensee, K.,
Jacinto, G.S., Limburg, K. E., Montes, I., Naqvi, S. W. A., Pitcher, G. C.,
Rabalais, N. N., Roman, M. R., Rose, K. A., Seibel, B. A., Telszewski, M.,
Yasuhara, M., and Zhang, J.: Declining oxygen in the global ocean and
coastal waters, Science, 359, eaam7240,
<a href="https://doi.org/10.1126/science.aam7240" target="_blank">https://doi.org/10.1126/science.aam7240</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Buesseler, K. O., Lamborg, C. H., Boyd, P. W., Lam, P. J., Trull, T. W.,
Bidigare, R. R., Bishop, J. K. B., Casciotti, K. L., Dehairs, F., Elskens,
M., Honda, M., Karl, D. M., Siegel, D. A., Silver, M. W., Steinberg, D. K.,
Valdes, J., Mooy, B. V., and Wilson, S.: Revisiting Carbon Flux Through the
Ocean's Twilight Zone. Science, 316, 567–570,
<a href="https://doi.org/10.1126/science.1137959" target="_blank">https://doi.org/10.1126/science.1137959</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Bushinsky, S. M. and Emerson, S. R.: Biological and physical controls on the
oxygen cycle in the Kuroshio Extension from an array of profiling floats,
Deep.-Sea. Res. Pt. I., 141, 51–70,
<a href="https://doi.org/10.1016/j.dsr.2018.09.005" target="_blank">https://doi.org/10.1016/j.dsr.2018.09.005</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Catala, T. S., Martinez-Perez, A. M., Nieto-Cid, M., Alvarez, M., Otero, J.,
Emelianov, M., Reche, I., Aristegui, J., and Alvarez-Salgado, X. A.:
Dissolved Organic Matter (DOM) in the open Mediterranean Sea. I. Basin-wide
distribution and drivers of chromophoric DOM, Prog. Oceanogr., 165, 35–51,
<a href="https://doi.org/10.1016/j.pocean.2018.05.002" target="_blank">https://doi.org/10.1016/j.pocean.2018.05.002</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Chai, F., Johnson, K. S., Claustre, H., Xing, X., Wang, Y., Boss, E., Riser,
S., Fennel, K., Schofield, O., and Sutton, A.: Monitoring ocean
biogeochemistry with autonomous platforms, Nat. Rev. Earth Environ., 1, 315–326,
<a href="https://doi.org/10.1038/s43017-020-0053-y" target="_blank">https://doi.org/10.1038/s43017-020-0053-y</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Chelton, D. B., Schlax, M. G., and Samelson, R. M.: Global observations of
nonlinear mesoscale eddies, Prog. Oceanogr., 91, 167–216,
<a href="https://doi.org/10.1016/j.pocean.2011.01.002" target="_blank">https://doi.org/10.1016/j.pocean.2011.01.002</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Claustre, H., Johnson, K. S., and Takeshita, Y.: Observing the Global Ocean
with Biogeochemical-Argo, Annu. Rev. Mar. Sci., 12, 1–26,
<a href="https://doi.org/10.1146/annurev-marine-010419-010956" target="_blank">https://doi.org/10.1146/annurev-marine-010419-010956</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Cronin, M. F., Bond, N. A., Farrar, J. T., Ichikawa, H., Jayne, S. R.,
Kawai, Y., Konda, M., Qiu, B., Rainville, L., and Tomita, H.: Formation and
erosion of the seasonal thermocline in the Kuroshio Extension Recirculation
Gyre, Deep.-Sea. Res. Pt. II., 85, 62–74,
<a href="https://doi.org/10.1016/j.dsr2.2012.07.018" target="_blank">https://doi.org/10.1016/j.dsr2.2012.07.018</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Dall'Olmo, G., Dingle, J., Polimene, L., Brewin, R. J., and Claustre, H.:
Substantial energy input to the mesopelagic ecosystem from the seasonal
mixed-layer pump, Nat. Geosci., 9, 820–823,
<a href="https://doi.org/10.1038/ngeo2818" target="_blank">https://doi.org/10.1038/ngeo2818</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Di Lorenzo, E., Schneider, N., Cobb, K. M., Franks, P. J. S., Chhak, K.,
Miller, A. J., McWilliams, J. C., Bograd, S. J., Arango, H., Curchitser, E.,
Powell, T. M., and Riviere, P.: North Pacific Gyre Oscillation links ocean
climate and ecosystem change, Geophys. Res. Lett., 35, 1–6,
<a href="https://doi.org/10.1029/2007GL032838" target="_blank">https://doi.org/10.1029/2007GL032838</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Emerson, S., Mecking, S., and Abell, J.: The biological pump in the
subtropical North Pacific Ocean: Nutrient sources, Redfield ratios, and
recent changes, Global. Biogeochem. Cy., 15, 535–554,
<a href="https://doi.org/10.1029/2000GB001320" target="_blank">https://doi.org/10.1029/2000GB001320</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Emerson, S.: Annual net community production and the biological carbon flux
in the ocean, Global. Biogeochem. Cy., 28, 14–28,
<a href="https://doi.org/10.1002/2013GB004680" target="_blank">https://doi.org/10.1002/2013GB004680</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Estapa, M. L., Feen, M. L., and Breves, E.: Direct observations of
biological carbon export from profiling floats in the subtropical North
Atlantic, Global. Biogeochem. Cy., 33, 282–300,
<a href="https://doi.org/10.1029/2018GB006098" target="_blank">https://doi.org/10.1029/2018GB006098</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Feucher, C., Maze, G., and Mercier, H.: Subtropical mode water and permanent
pycnocline properties in the world ocean, J. Geophys. Res., 124, 1139–1154,
<a href="https://doi.org/10.1029/2018JC014526" target="_blank">https://doi.org/10.1029/2018JC014526</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Flament, P.: A state variable for characterizing water masses and their
diffusive stability: spiciness, Prog. Oceanogr., 54, 493–501,
<a href="https://doi.org/10.1016/S0079-6611(02)00065-4" target="_blank">https://doi.org/10.1016/S0079-6611(02)00065-4</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Garcia, H. E. and Gordon, L. I.: Oxygen solubility in seawater: Better fitting
equations, Limnol. Oceanogr., 37, 1307–1312,
<a href="https://doi.org/10.4319/lo.1992.37.6.1307" target="_blank">https://doi.org/10.4319/lo.1992.37.6.1307</a>, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Hosoda, S., Inoue, R., Nonaka, M., Sasaki, H., Sasai, Y., and Hirano, M.:
Rapid water parcel transport across the Kuroshio Extension in the lower
thermocline from dissolved oxygen measurements by Seaglider, Prog. Earth Planet. Sci., 8, 1–19,
<a href="https://doi.org/10.1186/s40645-021-00406-x" target="_blank">https://doi.org/10.1186/s40645-021-00406-x</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Huang, R. X.: Ocean Circulation, wind-driven and thermohaline processes,
Cambridge Press, Cambridge, 810 pp., 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Huang, R. X.: Defining the spicity, J. Mar. Res., 69, 545–559,
<a href="https://doi.org/10.1357/002224011799849390" target="_blank">https://doi.org/10.1357/002224011799849390</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Huang, R. X., Yu, L. S., and Zhou, S. Q.: New definition of potential spicity
by the least square method,  J. Geophys. Res.-Oceans., 123, 7351–7365,
<a href="https://doi.org/10.1029/2018JC014306" target="_blank">https://doi.org/10.1029/2018JC014306</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Hurlburt, H. E., Wallcraft, A. J., Schmitz Jr, W. J., Hogan, P. J., and Metzger,
E. J.: Dynamics of the Kuroshio/Oyashio current system using eddy-resolving
models of the North Pacific Ocean, J. Geophys. Res.-Oceans., 101, 941–976,
<a href="https://doi.org/10.1029/95JC01674" target="_blank">https://doi.org/10.1029/95JC01674</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Inoue, R., Honda, M. C., Fujiki, T., Matsumoto, K., Kouketsu, S., Suga, T.,
and Saino, T.: Western North Pacific integrated physical-biogeochemical
ocean observation experiment (INBOX): Part 2. Biogeochemical responses to
eddies and typhoons revealed from the S1 mooring and shipboard measurements,
J. Mar. Res., 74, 71–99,
<a href="https://doi.org/10.1357/002224016819257335" target="_blank">https://doi.org/10.1357/002224016819257335</a>, 2016a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Inoue, R., Suga, T., Kouketsu, S., Kita, T., Hosoda, S., Kobayashi, T.,
Sato, K., Nakajima, H., and Kawano, T.: Western north Pacific integrated
physical-biogeochemical ocean observation experiment (INBOX): part 1.
Specifications and chronology of the S1-INBOX floats, J. Mar. Res., 74,
43–69,  <a href="https://doi.org/10.1357/002224016819257344" target="_blank">https://doi.org/10.1357/002224016819257344</a>, 2016b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Jing, Z., Wang, S., Wu, L., Chang, P., Zhang, Q., Sun, B., Ma, X., Qiu, B.,
Small, J., Jin, F., Chen, Z., Gan, B., Yang, Y., Yang, H., and Wan, X.:
Maintenance of mid-latitude oceanic fronts by mesoscale eddies, Sci. Adv., 6, eaba7880,
doi:10.1126/sciadv.aba7880, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Joyce, T. M., Yasuda, I., Hiroe, Y., Komatsu, K., Kawasaki, K., and Bahr,
F.: Mixing in the meandering Kuroshio Extension and the formation of North
Pacific Intermediate Water, J. Geophys. Res.-Oceans, 106, 4397–4404,
<a href="https://doi.org/10.1029/2000JC000232" target="_blank">https://doi.org/10.1029/2000JC000232</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Karleskind, P., Lévy, M., and Mémery, L.: Subduction of carbon,
nitrogen, and oxygen in the northeast Atlantic, J. Geophys. Res.-Oceans,
116, C02025,  <a href="https://doi.org/10.1029/2010JC006446" target="_blank">https://doi.org/10.1029/2010JC006446</a>, 2011a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Karleskind, P., Lévy, M., and Mémery, L.: Modifications of mode
water properties by sub-mesoscales in a bio-physical model of the Northeast
Atlantic, Ocean. Model., 39, 47–60,
<a href="https://doi.org/10.1016/j.ocemod.2010.12.003" target="_blank">https://doi.org/10.1016/j.ocemod.2010.12.003</a>, 2011b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Karstensen, J., Stramma, L., and Visbeck, M.: Oxygen minimum zones in the
eastern tropical Atlantic and Pacific oceans, Prog. Oceanogr., 77, 331–350,
<a href="https://doi.org/10.1016/j.pocean.2007.05.009" target="_blank">https://doi.org/10.1016/j.pocean.2007.05.009</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Kawakami, Y., Sugimoto, S., and Suga, T.: Inter-annual zonal shift of the
formation region of the lighter variety of the north pacific central mode
water, J. Oceanogr., 72, 1–10,
<a href="https://doi.org/10.1007/s10872-015-0325-1" target="_blank">https://doi.org/10.1007/s10872-015-0325-1</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Koch-Larrouy, A., Morrow, R., Penduff, T., and Juza, M.: Origin and
mechanism of Subantarctic Mode Water formation and transformation in the
Southern Indian Ocean, Ocean. Dynam., 60, 563–583,
<a href="https://doi.org/10.1007/s10236-010-0276-4" target="_blank">https://doi.org/10.1007/s10236-010-0276-4</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Kouketsu, S., Inoue, R., and Suga, T.: Western North Pacific integrated
physical-biogeochemical ocean observation experiment (INBOX): part 3.
Mesoscale variability of dissolved oxygen concentrations observed by
multiple floats during S1-INBOX, J. Mar. Res., 74, 101–131,
<a href="https://doi.org/10.1357/002224016819257326" target="_blank">https://doi.org/10.1357/002224016819257326</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Lévy, M., Klein, P., and Treguier, A. M.: Impact of sub-mesoscale physics
on production and subduction of phytoplankton in an oligotrophic regime, J.
Mar. Res., 59, 535–565,
<a href="https://doi.org/10.1357/002224001762842181" target="_blank">https://doi.org/10.1357/002224001762842181</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Lin, P., Chai, F., Xue, H., and Xiu, P.: Modulation of decadal oscillation
on surface chlorophyll in the Kuroshio Extension, J. Geophys. Res.-Oceans,
119, 187–199,  <a href="https://doi.org/10.1002/2013JC009359" target="_blank">https://doi.org/10.1002/2013JC009359</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Liu, L. L. and Huang, R. X.: The global subduction/obduction rates: Their
interannual and decadal variability, J. Climate, 25, 1096–1115,
<a href="https://doi.org/10.1175/2011JCLI4228.1" target="_blank">https://doi.org/10.1175/2011JCLI4228.1</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Liu, Y., Dong, C., Guan, Y., Chen, D., McWilliams, J., and Nencioli, F.:
Eddy analysis in the subtropical zonal band of the North Pacific Ocean,
Deep.-Sea. Res. Pt. I., 68, 54–67,
<a href="https://doi.org/10.1016/j.dsr.2012.06.001" target="_blank">https://doi.org/10.1016/j.dsr.2012.06.001</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Llort, J., Langlais, C., Matear, R., Moreau, S., Lenton, A., and Strutton,
P.G.: Evaluating Southern Ocean carbon eddy-pump from biogeochemical-Argo
floats, J. Geophys. Res.-Oceans, 123, 971–984,
<a href="https://doi.org/10.1002/2017JC012861" target="_blank">https://doi.org/10.1002/2017JC012861</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Ma, X., Chang, P., Saravanan, R., Montuoro, R., Nakamura, H., Wu, D., Lin,
X., and Wu, L.: Importance of resolving Kuroshio front and eddy influence in
simulating the North Pacific storm track, J. Climate, 30, 1861–1880,
<a href="https://doi.org/10.1175/JCLI-D-16-0154.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0154.1</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Marshall, J. C., Williams, R. G., and Nurser, A. G.: Inferring the subduction
rate and period over the North Atlantic, J. Phys. Oceanogr., 23, 1315–1329,
<a href="https://doi.org/10.1175/1520-0485(1993)023&lt;1315:ITSRAP&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0485(1993)023&lt;1315:ITSRAP&gt;2.0.CO;2</a>, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Martin, A., Boyd, P., Buesseler, K., Cetinic, I., Claustre, H., Giering, S.,
Henson, S., Irigoien, X., Kriest, I., Memery, L., Robinson, C., Saba, G.,
Sanders, R., Siegel, D., Villa-Alfageme, M., and Guidi, L.: The oceans'
twilight zone must be studied now, before it is too late, Nature, 580,
26–28,  <a href="https://doi.org/10.1038/d41586-020-00915-7" target="_blank">https://doi.org/10.1038/d41586-020-00915-7</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
McDougall, T. and Barker, P.: Getting started with TEOS-10 and the Gibbs
Seawater (GSW) oceanographic toolbox, SCOR/IAPSO WG127, 28 pp., 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
McDougall, T. J. and Krzysik, O. A.: Spiciness, J. Mar. Res., 73, 141–152,
<a href="https://doi.org/10.1357/002224015816665589" target="_blank">https://doi.org/10.1357/002224015816665589</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
McGillicuddy, D. J.: Mechanisms of Physical-Biological-Biogeochemical
Interaction at the Oceanic Mesoscale, Annu. Rev. Mar. Sci., 8, 125–159,
<a href="https://doi.org/10.1146/annurev-marine-010814-015606" target="_blank">https://doi.org/10.1146/annurev-marine-010814-015606</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Nagai, T., Gruber, N., Frenzel, H., Lachkar, Z., McWilliams, J. C., and
Plattner, G. K.: Dominant role of eddies and filaments in the offshore
transport of carbon and nutrients in the California Current System, J. Geophys. Res.-Oceans, 120, 5318–5341,
<a href="https://doi.org/10.1002/2015JC010889" target="_blank">https://doi.org/10.1002/2015JC010889</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Nagano, A., Suga, T., Kawai, Y., Wakita, M., Uehara, K., and Taniguchi, K.:
Ventilation revealed by the observation of dissolved oxygen concentration
south of the Kuroshio Extension during 2012–2013, J. Oceanogr., 72,
837–850,  <a href="https://doi.org/10.1007/s10872-016-0386-9" target="_blank">https://doi.org/10.1007/s10872-016-0386-9</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Nie, X., Gao, S., Wang, F., and Qu, T.: Subduction of north pacific tropical
water and its equatorward pathways as shown by a simulated passive tracer,
J. Geophys. Res.-Oceans, 121, 8770–8786,
<a href="https://doi.org/10.1002/2016JC012305" target="_blank">https://doi.org/10.1002/2016JC012305</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Nishikawa, S., Tsujino, H., Sakamoto, K. and Nakano, H.: Effects of
mesoscale eddies on subduction and distribution of subtropical mode water in
an eddy-resolving OGCM of the western North Pacific, J. Phys. Oceanogr., 40,
1748–1765,  <a href="https://doi.org/10.1175/2010JPO4261.1" target="_blank">https://doi.org/10.1175/2010JPO4261.1</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Oka, E., Toyama, K., and Suga, T.: Subduction of North Pacific central mode
water associated with subsurface mesoscale eddy, Geophys. Res. Lett., 36,
L08607,  <a href="https://doi.org/10.1029/2009GL037540" target="_blank">https://doi.org/10.1029/2009GL037540</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Oka, E. and Qiu, B.: Progress of North Pacific mode water research in the
past decade, J. Oceanogr., 68, 5–20,
<a href="https://doi.org/10.1007/s10872-011-0032-5" target="_blank">https://doi.org/10.1007/s10872-011-0032-5</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Okuda, K., Yasuda, I., Hiroe, Y., and Shimizu, Y.: Structure of subsurface
intrusion of the Oyashio water into the Kuroshio Extension and formation
process of the North Pacific Intermediate Water, J. Oceanogr., 57, 121–140,
<a href="https://doi.org/10.1023/A:1011135006278" target="_blank">https://doi.org/10.1023/A:1011135006278</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Omand, M. M., D'Asaro, E. A., Lee, C. M., Perry, M. J., Briggs, N., Cetinić,
I., and Mahadevan, A.: Eddy-driven subduction exports particulate organic
carbon from the spring bloom, Science, 348, 222–225,
<a href="https://doi.org/10.1126/science.1260062" target="_blank">https://doi.org/10.1126/science.1260062</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Oschlies, A., Brandt, P., Stramma, L., and Schmidtko, S.: Drivers and
mechanisms of ocean deoxygenation, Nat. Geosci., 11, 467–473,
<a href="https://doi.org/10.1038/s41561-018-0152-2" target="_blank">https://doi.org/10.1038/s41561-018-0152-2</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Palevsky, H. I. and Doney, S. C.: How choice of depth horizon influences the
estimated spatial patterns and global magnitude of ocean carbon export flux,
Geophys. Res. Lett., 45, 4171–4179,
<a href="https://doi.org/10.1029/2017GL076498" target="_blank">https://doi.org/10.1029/2017GL076498</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
Pan, X., Achterberg, E. P., Sanders, R., Poulton, A. J., Oliver, K. I., and
Robinson, C.: Dissolved organic carbon and apparent oxygen utilization in
the Atlantic Ocean, Deep.-Sea. Res. Pt. I, 85, 80–87,
<a href="https://doi.org/10.1016/j.dsr.2013.12.003" target="_blank">https://doi.org/10.1016/j.dsr.2013.12.003</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Qiu, B. and Huang, R. X.: Ventilation of the North Atlantic and North
Pacific: subduction versus obduction, J. Phys. Oceanogr., 25, 2374–2390,
<a href="https://doi.org/10.1175/1520-0485(1995)025&lt;2374:VOTNAA&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0485(1995)025&lt;2374:VOTNAA&gt;2.0.CO;2</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Qiu, B., Chen, S., and Hacker, P.: Effect of mesoscale eddies on subtropical
mode water variability from the Kuroshio Extension System Study (KESS), J.
Phys. Oceanogr., 37, 982–1000,
<a href="https://doi.org/10.1175/JPO3097.1" target="_blank">https://doi.org/10.1175/JPO3097.1</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
Qiu, B. and Chen, S.: Eddy-mean flow interaction in the decadally modulating
Kuroshio Extension system, Deep.-Sea. Res. Pt. II., 57, 1098–1110,
<a href="https://doi.org/10.1016/j.dsr2.2008.11.036" target="_blank">https://doi.org/10.1016/j.dsr2.2008.11.036</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
Qu, T., Xie, S. P., Mitsudera, H., and Ishida, A.: Subduction of the North
Pacific mode waters in a global high-resolution GCM, J. Phys. Oceanogr., 32,
746–763, <a href="https://doi.org/10.1175/1520-0485(2002)032&lt;0746:SOTNPM&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0485(2002)032&lt;0746:SOTNPM&gt;2.0.CO;2</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Qu, T. and Chen, J.: A North Pacific decadal variability in subduction rate,
Geophys. Res. Lett., 36, L22602,
<a href="https://doi.org/10.1029/2009GL040914" target="_blank">https://doi.org/10.1029/2009GL040914</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Resplandy, L., Lévy, M., and Mcgillicuddy, D. J.: Effects of eddy-driven
subduction on ocean biological carbon pump, Global. Biogeochem. Cy., 33,
1071–1084,  <a href="https://doi.org/10.1029/2018GB006125" target="_blank">https://doi.org/10.1029/2018GB006125</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
Robinson, C.: Microbial respiration, the engine of ocean deoxygenation,
Front. Mar. Sci., 5, 533,
<a href="https://doi.org/10.3389/fmars.2018.00533" target="_blank">https://doi.org/10.3389/fmars.2018.00533</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
Sabine, C. L., Feely, R. A., Gruber, N., Key, R. M., Lee, K., Bullister, J.L.,
Wanninkhof, R., Wong, C. S. L., Wallace, D. W., Tilbrook, B., and Millero,
F. J.: The oceanic sink for anthropogenic CO<sub>2</sub>, Science, 305, 367–371,
<a href="https://doi.org/10.1126/science.1097403" target="_blank">https://doi.org/10.1126/science.1097403</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
Sarmiento, J. L. and Gruber, N.: Ocean biogeochemical dynamics, Princeton
University Press,  528 pp., 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
Sasaki, H., Klein, P., Qiu, B., and Sasai, Y.: Impact of oceanic-scale
interactions on the seasonal modulation of ocean dynamics by the
atmosphere, Nat. Commun., 5, 5636,
<a href="https://doi.org/10.1038/ncomms6636" target="_blank">https://doi.org/10.1038/ncomms6636</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
Stommel, H. M.: Determination of water mass properties of water pumped down
from the Ekman layer to the geostrophic flow below, P. Natl. Acad. Sci. USA, 76, 3051–3055,  <a href="https://doi.org/10.1073/pnas.76.7.3051" target="_blank">https://doi.org/10.1073/pnas.76.7.3051</a>,
1979.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
Steinberg, D. K., Van Mooy, B. A., Buesseler, K. O., Boyd, P. W., Kobari,
T., and Karl, D. M.: Bacterial vs. zooplankton control of sinking particle
flux in the ocean's twilight zone, Limnol. Oceanogr., 53, 1327–1338,
<a href="https://doi.org/10.4319/lo.2008.53.4.1327" target="_blank">https://doi.org/10.4319/lo.2008.53.4.1327</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
Stramma, L., Johnson, G. C., Sprintall, J., and Mohrholz, V.: Expanding
oxygen-minimum zones in the tropical oceans, Science, 320, 655–658,
<a href="https://doi.org/10.1126/science.1153847" target="_blank">https://doi.org/10.1126/science.1153847</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
Stukel, M. R., Aluwihare, L. I., Barbeau, K. A., Chekalyuk, A. M., Goericke, R.,
Miller, A. J., Ohman, M. D., Ruacho, A., Song, H., Stephens, B. M., and Landry,
M. R.: Mesoscale ocean fronts enhance carbon export due to gravitational
sinking and subduction, P. Natl. Acad. Sci. USA, 114, 1252–1257,
<a href="https://doi.org/10.1073/pnas.1609435114" target="_blank">https://doi.org/10.1073/pnas.1609435114</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
Stukel, M. R., Song, H., Goericke, R., and Miller, A. J.: The role of
subduction and gravitational sinking in particle export, carbon
sequestration, and the remineralization length scale in the California
Current Ecosystem, Limnol. Oceanogr., 63, 363–383,
<a href="https://doi.org/10.1002/lno.10636" target="_blank">https://doi.org/10.1002/lno.10636</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
Takano, Y., Ito, T., and Deutsch, C.: Projected centennial oxygen trends and
their attribution to distinct ocean climate forcings, Global. Biogeochem.
Cy., 32, 1329–1349,  <a href="https://doi.org/10.1029/2018GB005939" target="_blank">https://doi.org/10.1029/2018GB005939</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
Talley, L. D.: North Pacific Intermediate Water transports in the mixed
water region, J. Phys. Oceanogr., 27, 1795–1803,
<a href="https://doi.org/10.1175/1520-0485(1997)027&lt;1795:NPIWTI&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0485(1997)027&lt;1795:NPIWTI&gt;2.0.CO;2</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
Williams, R. G.: Ocean Subduction, in: Encyclopedia of Ocean Sciences, edited
by: Cochran, J. K., Bokuniewicz, H., and Yager, P., Elsevier, 1982–1993,
2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>
Wohlers, J., Engel, A., Zöllner, E., Breithaupt, P., Jürgens, K.,
Hoppe, H. G., Sommer, U., and Riebesell, U.: Changes in biogenic carbon flow
in response to sea surface warming, Proceedings of the national academy of
sciences, 106, 7067–7072,
<a href="https://doi.org/10.1073/pnas.0812743106" target="_blank">https://doi.org/10.1073/pnas.0812743106</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>
Xu, L., Xie, S. P., McClean, J. L., Liu, Q., and Sasaki, H.: Mesoscale eddy
effects on the subduction of North Pacific mode waters, J. Geophys. Res.-Oceans, 119, 4867–4886,
<a href="https://doi.org/10.1002/2014JC009861" target="_blank">https://doi.org/10.1002/2014JC009861</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
Xu, L., Li, P., Xie, S. P., Liu, Q., Liu, C., and Gao, W.: Observing
mesoscale eddy effects on mode-water subduction and transport in the North
Pacific, Nat. Commun., 7, 10505,
<a href="https://doi.org/10.1038/ncomms10505" target="_blank">https://doi.org/10.1038/ncomms10505</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
Yasuda, I., Okuda, K., and Shimizu, Y.: Distribution and modification of
North Pacific Intermediate Water in the Kuroshio-Oyashio interfrontal zone,
J. Phys. Oceanogr., 26, 448–465,
<a href="https://doi.org/10.1175/1520-0485(1996)026&lt;0448:DAMONP&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0485(1996)026&lt;0448:DAMONP&gt;2.0.CO;2</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
Yu, J., Gan, B., Zhao J., and Wu, L.: Winter Extreme Mixed Layer Depth South
of the Kuroshio Extension, J. Climate, 33, 10419–10436,
<a href="https://doi.org/10.1175/JCLI-D-20-0119.1" target="_blank">https://doi.org/10.1175/JCLI-D-20-0119.1</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
Zhang, Z., Wang, W., and Qiu, B.: Oceanic mass transport by mesoscale
eddies, Science, 345, 322–324,
<a href="https://doi.org/10.1126/science.1252418" target="_blank">https://doi.org/10.1126/science.1252418</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
Zhang, Z., Li, P., Xu, L., Li, C., Zhao, W., Tian, J., and Qu, T.:
Subthermocline eddies observed by rapid-sampling Argo floats in the
subtropical northwestern Pacific Ocean in Spring 2014, Geophys. Res. Lett.,
42, 6438–6445,  <a href="https://doi.org/10.1002/2015GL064601" target="_blank">https://doi.org/10.1002/2015GL064601</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>
Zhang, Y., Zhang, Z., Chen, D., Qiu, B., and Wang, W.: Strengthening of the
Kuroshio current by intensifying tropical cyclones, Science, 368, 988–993,
<a href="https://doi.org/10.1126/science.aax5758" target="_blank">https://doi.org/10.1126/science.aax5758</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation>
Zhu, R., Chen, Z., Zhang, Z., Yang, H., and Wu, L.: Subthermocline eddies in
the Kuroshio Extension region observed by mooring arrays, J. Phys.
Oceanogr., 51, 439–455,
<a href="https://doi.org/10.1175/JPO-D-20-0047.1" target="_blank">https://doi.org/10.1175/JPO-D-20-0047.1</a>, 2021.
</mixed-citation></ref-html>--></article>
