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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2022.875362</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Temporal and regional variabilities in the attenuation of sinking particulate organic carbon in the Kuroshio region</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Fukuda</surname>
<given-names>Hideki</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/69972"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hidaka</surname>
<given-names>Kiyotaka</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1732611"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Setou</surname>
<given-names>Takashi</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kusaka</surname>
<given-names>Akira</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ambe</surname>
<given-names>Daisuke</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1819390"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Saito</surname>
<given-names>Hiroaki</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/295825"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Atmosphere and Ocean Research Institute, University of Tokyo</institution>, <addr-line>Chiba</addr-line>, <country>Japan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Fisheries Resources Institute, Japan Fisheries Research and Education Agency</institution>, <addr-line>Kanagawa</addr-line>, <country>Japan</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Wei-Jen Chen, National Taiwan University, Taiwan</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Stella Psarra, Hellenic Centre for Marine Research (HCMR), Greece; Monique Messi&#xe9;, Monterey Bay Aquarium Research Institute (MBARI), United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Hideki Fukuda, <email xlink:href="mailto:hfukuda@aori.u-tokyo.ac.jp">hfukuda@aori.u-tokyo.ac.jp</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Coastal Ocean Processes, a section of the journal Frontiers in Marine Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>09</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>875362</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>08</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Fukuda, Hidaka, Setou, Kusaka, Ambe and Saito</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Fukuda, Hidaka, Setou, Kusaka, Ambe and Saito</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The biological pump that transports carbon from the surface ocean to the ocean interior is an important determinant of ocean carbon absorption from the atmosphere, and of biological activity beneath the euphotic zone. Various factors influence the magnitude and efficiency of this biological pump, such as primary production, particle size, and the composition of consumers of particulate organic carbon (POC). The complex factors influencing the biological pump induce high regional and temporal variability; however, the mechanisms of this variability are not understood and its causes remain unclear. The size of sinking particles has been hypothesized to affect the attenuation of POC flux <italic>via</italic> reduction of residence time within the water column. Here, we conducted sediment trap experiments in slope and subtropical gyre areas along the Kuroshio in the subtropical North Pacific. The ratio of POC flux at a depth 100&#xa0;m below the base of the euphotic zone to that at the base of the euphotic zone (<italic>T<sub>100</sub>
</italic>) varied from 0.307 to 0.646 and from 0.090 to 0.958 in the slope and subtropical gyre areas, respectively, and was positively correlated with variations in the volume-weighted mean particle diameter (Spearman rank order correlation coefficient: 0.700, <italic>p</italic>&lt; 0.05, n = 9). However, the variation in <italic>T<sub>100</sub>
</italic> was not correlated with ambient water temperature (<italic>p</italic> &gt; 0.05). The results support the hypothesis that attenuation of POC flux is influenced by the size of sinking particles in oligotrophic oceanic areas.</p>
</abstract>
<kwd-group>
<kwd>ocean carbon cycling</kwd>
<kwd>biological pump</kwd>
<kwd>sinking POC flux</kwd>
<kwd>sediment trap</kwd>
<kwd>slope of particle size distribution</kwd>
<kwd>Kuroshio</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="6"/>
<equation-count count="6"/>
<ref-count count="59"/>
<page-count count="17"/>
<word-count count="9294"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>The biological pump is the combined processes of the biological fixation of carbon dioxide and its subsequent transport into the ocean interior. The transport of fixed carbon occurs through multiple processes, including 1) the gravitational settling of particles, 2) physical injection, and 3) vertical migration of organisms, with sinking of particulate carbon accounting for the largest portion of transported carbon in three processes (<xref ref-type="bibr" rid="B6">Boyd et&#xa0;al., 2019</xref>). The amount of carbon sinking from the euphotic zone depends primarily on the amount of net primary production and partly on the size and taxonomic composition of phytoplankton and heterotrophic activities (<xref ref-type="bibr" rid="B7">Boyd and Newton, 1999</xref>; <xref ref-type="bibr" rid="B4">Armstrong et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B25">Guidi et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B53">Turner, 2015</xref>). Most particulate organic carbon (POC) settling out of the euphotic zone is remineralized within the upper part of the mesopelagic zone (depths below the euphotic zone down to 1000m), and the attenuation of sinking flux shows large seasonal and regional variabilities (<xref ref-type="bibr" rid="B24">Guidi et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B46">Puigcorb&#xe9; et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B10">Buesseler et&#xa0;al., 2020</xref>). Understanding the mechanisms regulating particle production and attenuation of sinking flux is essential to predicting future changes in ocean carbon uptake and food web dynamics below the euphotic zone as well as oceanic carbon dioxide influx from the atmosphere.</p>
<p>The vertical attenuation of POC flux has been examined from the perspective of the relationship between particle residence time within the water column and the remineralization rate of POC. Analyses of field data have indicated a close relationship between the attenuation depth scale of POC flux and the size structure of phytoplankton in the euphotic zone (<xref ref-type="bibr" rid="B24">Guidi et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B46">Puigcorb&#xe9; et&#xa0;al., 2015</xref>). Numerical models have demonstrated that the size of sinking particles could be a major factor determining the mineralization depth of sinking POC because the sinking velocity increases with particle size (<xref ref-type="bibr" rid="B15">Cram et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B43">Omand et&#xa0;al., 2020</xref>). <xref ref-type="bibr" rid="B40">Marsay et&#xa0;al. (2015)</xref> showed a strong relationship between the attenuation depth of POC flux and ambient water temperature, which can affect the activities of heterotrophs including prokaryotes, protozoans, and metazoans.</p>
<p>In the subtropical offshore area, vertical attenuation of POC flux is thought to be greater than that at higher latitudes, as small phytoplankton (pico- and nanophytoplankton) are a major component of the primary producer assemblage and have a slow sinking rate due to their small size (<xref ref-type="bibr" rid="B24">Guidi et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B46">Puigcorb&#xe9; et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B15">Cram et&#xa0;al., 2018</xref>). However, these small phytoplankton are actively incorporated into fast-sinking materials such as large aggregates and fecal materials in oligotrophic environments (<xref ref-type="bibr" rid="B22">Gorsky et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B36">Lomas and Moran, 2011</xref>; <xref ref-type="bibr" rid="B37">Lundgreen et&#xa0;al., 2019</xref>). Several studies in subtropical areas have reported that the particle size distribution (PSD) in the mixed layer exhibits spatial and temporal variations (<xref ref-type="bibr" rid="B11">Buonassissi and Dierssen, 2010</xref>; <xref ref-type="bibr" rid="B56">White et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B19">Fender et&#xa0;al., 2019</xref>). <xref ref-type="bibr" rid="B58">Yamada et&#xa0;al. (2021)</xref> reported that the contribution of larger particles increased with the concentration of transparent exopolymer (TEP) particles in an oligotrophic area along the Kuroshio Current in the subtropical Pacific Ocean. The porous structure and sticky nature of TEP stimulate rapid accumulation of large aggregates (<xref ref-type="bibr" rid="B45">Passow, 2002</xref>; <xref ref-type="bibr" rid="B39">Mari et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B42">Nagata et&#xa0;al., 2021</xref>). These results imply that high variability in the PSD in a subtropical area may affect attenuation of POC flux in combination with various factors, including temperature, the community structure of organisms, their physiological state, and the physicochemical properties of the particles.</p>
<p>We collected data on the sinking flux of POC and its vertical attenuation between the base of the euphotic zone (Z<sub>eu</sub>; notations are listed in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) and a depth 100&#xa0;m below Z<sub>eu</sub> during a sediment trap experiment along the Kuroshio Current. The Kuroshio Current is the western boundary current in the North Pacific Ocean, and it flows through an oligotrophic area where pico- and nanophytoplankton are dominant (<xref ref-type="bibr" rid="B18">Endo and Suzuki, 2019</xref>). However, strong diapycnal mixing processes induce upward nutrient supply along the inshore side of the current, supporting high phytoplankton productivity in this region (<xref ref-type="bibr" rid="B30">Kaneko et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B41">Nagai et&#xa0;al., 2019</xref>). The trap experiments were conducted in two areas along a productivity gradient across the current (<xref ref-type="bibr" rid="B59">Yokouchi et&#xa0;al., 2006</xref>). To compare the depth scale of the attenuation of POC flux among our observations and those in other environments, <italic>T<sub>100</sub>
</italic> can be used an index of attenuation of POC flux; it represents the ratio of POC flux at 100&#xa0;m below Z<sub>eu</sub> to flux at Z<sub>eu</sub> (<xref ref-type="bibr" rid="B9">Buesseler and Boyd, 2009</xref>; <xref ref-type="bibr" rid="B10">Buesseler et&#xa0;al., 2020</xref>). Simultaneously, PSD data were collected using a laser diffraction analyzer in the euphotic zone to examine the relationship between <italic>T<sub>100</sub>
</italic> and PSD. We hypothesized that <italic>T<sub>100</sub>
</italic> is influenced by multiple environmental factors, including the shape of the PSD and the physicochemical properties of the particles.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Notations.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Symbol</th>
<th valign="top" align="center">Meaning</th>
<th valign="top" align="center">unit</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<italic>D</italic>
</td>
<td valign="top" align="left">Particle diameter</td>
<td valign="top" align="left">&#x3bc;m</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>D<sub>0</sub>
</italic>
</td>
<td valign="top" align="left">Reference diameter (1 &#x3bc;m)</td>
<td valign="top" align="left">&#x3bc;m</td>
</tr>
<tr>
<td valign="top" align="left">diChl <italic>a</italic>
</td>
<td valign="top" align="left">Depth-integrated amount of chlorophyll <italic>a</italic> within the euphotic layer</td>
<td valign="top" align="left">mg m<sup>-2</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">diN+N</td>
<td valign="top" align="left">Depth-integrated amount of nitrate and nitrite within the euphotic layer</td>
<td valign="top" align="left">mmol m<sup>-2</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">diPOC</td>
<td valign="top" align="left">Depth-integrated amount of particulate organic carbon within the euphotic layer</td>
<td valign="top" align="left">g m<sup>-2</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">diPON</td>
<td valign="top" align="left">Depth-integrated amount of particulate organic nitrogen within the euphotic layer</td>
<td valign="top" align="left">g m<sup>-2</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">diTPV</td>
<td valign="top" align="left">Depth-integrated total volume of particulate (5.2-119 &#x3bc;m in diameter) within the euphotic layer</td>
<td valign="top" align="left">10<sup>-6</sup> m<sup>3</sup> m<sup>-2</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">dmChl <italic>a</italic>
</td>
<td valign="top" align="left">Depth-weighted concentration of chlorophyll <italic>a</italic> within the euphotic layer</td>
<td valign="top" align="left">&#x3bc;g L<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">dmN+N</td>
<td valign="top" align="left">Depth-weighted concentration of nitrate and nitrite within the euphotic layer</td>
<td valign="top" align="left">&#x3bc;M</td>
</tr>
<tr>
<td valign="top" align="left">dmPOC</td>
<td valign="top" align="left">Depth-weighted concentration of particulate organic carbon within the euphotic layer</td>
<td valign="top" align="left">&#x3bc;g L<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">dmPON</td>
<td valign="top" align="left">Depth-weighted concentration of particulate organic nitrogen within the euphotic layer</td>
<td valign="top" align="left">&#x3bc;g L<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">dmTPV</td>
<td valign="top" align="left">Depth-weighted total volume of particulate (5.2-119 &#x3bc;m in diameter) per volume of seawater within the euphotic layer</td>
<td valign="top" align="left">ppm</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>F<sub>0</sub>
</italic>
</td>
<td valign="top" align="left">Sinking flux of particulate organic carbon at the depth of the reference depth (<italic>z<sub>0</sub>
</italic>)</td>
<td valign="top" align="left">mg m<sup>-2</sup> d<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>F<sub>z</sub>
</italic>
</td>
<td valign="top" align="left">Sinking flux of particulate organic carbon at the depth of <italic>z</italic>
</td>
<td valign="top" align="left">mg m<sup>-2</sup> d<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>g</italic>
</td>
<td valign="top" align="left">Gravitational acceleration</td>
<td valign="top" align="left">m s<sup>-2</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>k</italic>
</td>
<td valign="top" align="left">Rate of decomposition of sinking particulate organic carbon, including bacterial decomposition and zooplankton grazing</td>
<td valign="top" align="left">s<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>k<sub>0</sub>
</italic>
</td>
<td valign="top" align="left">Rate of decomposition of sinking particulate organic carbon, including bacterial decomposition and zooplankton grazing at the reference temperature</td>
<td valign="top" align="left">s<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">MLD</td>
<td valign="top" align="left">Mixed layer depth</td>
<td valign="top" align="left">m</td>
</tr>
<tr>
<td valign="top" align="left">mPD<sub>N</sub>
</td>
<td valign="top" align="left">Mean particle diameter based on the particle size distribution (number)</td>
<td valign="top" align="left">&#x3bc;m</td>
</tr>
<tr>
<td valign="top" align="left">mPD<sub>V</sub>
</td>
<td valign="top" align="left">Mean particle diameter based on the particle size distribution (volume)</td>
<td valign="top" align="left">&#x3bc;m</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>N</italic>
</td>
<td valign="top" align="left">Number of particles per volume of seawater normalized to the width of the size bin</td>
<td valign="top" align="left">particle L<sup>-1</sup> &#x3bc;m<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>N<sub>0</sub>
</italic>
</td>
<td valign="top" align="left">Number of particles per volume of seawater normalized to the width of the size bin at the reference diameter (1 &#x3bc;m)</td>
<td valign="top" align="left">particle L<sup>-1</sup> &#x3bc;m<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">POC/PON</td>
<td valign="top" align="left">Molar ratio of the concentration of particulate organic carbon to that of particulate organic nitrogen</td>
<td valign="top" align="left">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">SST</td>
<td valign="top" align="left">Sea surface temperature</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>T</italic>
</td>
<td valign="top" align="left">Water temperature</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>T<sub>0</sub>
</italic>
</td>
<td valign="top" align="left">Reference water temperature</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>T<sub>100</sub>
</italic>
</td>
<td valign="top" align="left">Ratio of POC flux 100&#xa0;m below the base of euphotic zone to that at the base of the euphotic zone</td>
<td valign="top" align="left">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">TPV</td>
<td valign="top" align="left">Volume of particles per volume of seawater as an integral across the whole size window (5.2-119 &#x3bc;m)</td>
<td valign="top" align="left">ppm</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>w</italic>
</td>
<td valign="top" align="left">Sinking rate of particle</td>
<td valign="top" align="left">m s<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>z</italic>
</td>
<td valign="top" align="left">Depth in the water column</td>
<td valign="top" align="left">m</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>z<sub>0</sub>
</italic>
</td>
<td valign="top" align="left">Reference depth</td>
<td valign="top" align="left">m</td>
</tr>
<tr>
<td valign="top" align="left">Z<sub>eu</sub>
</td>
<td valign="top" align="left">Base of the euphotic zone</td>
<td valign="top" align="left">m</td>
</tr>
<tr>
<td valign="top" align="left">&#x3b3;</td>
<td valign="top" align="left">Power-law exponent relating the particle sinking rate and particle diameter</td>
<td valign="top" align="left">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>&#x394;&#x3c1;</italic>
</td>
<td valign="top" align="left">Density difference between the particle and seawater</td>
<td valign="top" align="left">kg m<sup>-3</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>&#x3bc;</italic>
</td>
<td valign="top" align="left">Viscosity of seawater</td>
<td valign="top" align="left">kg m<sup>-1</sup> s<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>&#x3be;</italic>
</td>
<td valign="top" align="left">Power-law slope of the particle size distribution</td>
<td valign="top" align="left">&#x2013;</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>Study area and sampling period</title>
<p>Sediment trap experiments were conducted in two areas across the Kuroshio Current along 138&#xb0;E (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), designated the slope (34.0&#xb0;N 138.0&#xb0;E) and subtropical gyre (28.0&#x2013;31.5&#xb0;N 138&#xb0;E), located on the offshore side of the Kuroshio Current. Experiments were conducted at 10 time points during seven cruises aboard the FRV <italic>Soyo-Maru</italic> (Japan Fisheries Research and Education Agency) from August 2013 to November 2019 as part of the O-line Ocean monitoring program at 138&#xb0;E off Japan (<xref ref-type="bibr" rid="B51">Sugisaki et&#xa0;al., 2010</xref>) (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Because the axis of the Kuroshio Current was at different locations on different cruises, the sampling site on the offshore side of the axis was placed depending on the location of the axis position (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Experiments on the slope were conducted in January, March, August, and November, but no sample was collected in January in the subtropical gyre due to bad weather during the SY1601 and SY1801 cruises.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Sampling locations and main ocean currents in the western North Pacific (left). Sediment trap experiments were conducted shoreward (slope: closed circle) and on the oceanic side (subtropical gyre: open circles) of the Kuroshio Current. Right panel corresponds to the area indicated with red square in the left panel. Red arrows in the right panel indicate the mean surface geostrophic current calculated from daily surface geostrophic current data with a horizontal resolution of 0.25&#xb0; from 1 August 2013 to 30 November 2019 (EU Copernicus Marine Service: <uri xlink:href="https://www.marine.copernicus.eu">https://www.marine.copernicus.eu</uri>). Detailed information about each station and the location of the Kuroshio Current axis relative to 138&#xb0;E during each sampling period are provided in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. The map was drawn using Ocean Data View (<uri xlink:href="http://odv.awi.de/">http://odv.awi.de/</uri>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-875362-g001.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Locations of sampling sites and oceanographic settling during the drifting sediment trap experiment.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Area</th>
<th valign="top" align="center">Cruise ID</th>
<th valign="top" align="center">Latitude (&#xb0;N)</th>
<th valign="top" align="center">Longitude (&#xb0;E)</th>
<th valign="top" align="center">Bottom depth (m)</th>
<th valign="top" align="center">Deployment (mm/dd/yyyy)</th>
<th valign="top" align="center">Sampling period (h)</th>
<th valign="top" align="center">Latitude of the Kuroshio axis at 138&#xb0;E (&#xb0;N)</th>
<th valign="top" align="center">MLD<sup>a</sup> (m)</th>
<th valign="top" align="center">
<inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mi>b</mml:mi>
</mml:msubsup>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th valign="top" align="center">SST<sup>c</sup> (&#xb0;C)</th>
<th valign="top" align="center">Concentration of N+N at the surface<sup>d</sup> (&#x3bc;M)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Slope</td>
<td valign="top" align="center">SY1308</td>
<td valign="top" align="center">34.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">1760</td>
<td valign="top" align="center">08/27/2018</td>
<td valign="top" align="center">23.9</td>
<td valign="top" align="center">32.1</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">54</td>
<td valign="top" align="center">29.0</td>
<td valign="top" align="center">&lt;0.1</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">SY1601</td>
<td valign="top" align="center">34.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">1760</td>
<td valign="top" align="center">01/21/2016</td>
<td valign="top" align="center">24.5</td>
<td valign="top" align="center">33.1</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">16.0</td>
<td valign="top" align="center">6.2</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">SY1703</td>
<td valign="top" align="center">34.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">1760</td>
<td valign="top" align="center">03/08/2017</td>
<td valign="top" align="center">23.8</td>
<td valign="top" align="center">32.6</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">15.2</td>
<td valign="top" align="center">7.5</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">SY1801</td>
<td valign="top" align="center">34.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">1760</td>
<td valign="top" align="center">01/12/2018</td>
<td valign="top" align="center">23.0</td>
<td valign="top" align="center">30.8</td>
<td valign="top" align="center">84</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">17.3</td>
<td valign="top" align="center">3.9</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">SY1903</td>
<td valign="top" align="center">34.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">1760</td>
<td valign="top" align="center">03/05/2019</td>
<td valign="top" align="center">24.1</td>
<td valign="top" align="center">33.7</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">89</td>
<td valign="top" align="center">20.0</td>
<td valign="top" align="center">0.4</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">SY1911</td>
<td valign="top" align="center">34.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">1760</td>
<td valign="top" align="center">11/17/2019</td>
<td valign="top" align="center">24.2</td>
<td valign="top" align="center">31.3</td>
<td valign="top" align="center">56</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">23.4</td>
<td valign="top" align="center">0.2</td>
</tr>
<tr>
<td valign="top" align="left">Subtropical gyre</td>
<td valign="top" align="center">SY1308</td>
<td valign="top" align="center">30.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">4040</td>
<td valign="top" align="center">09/01/2013</td>
<td valign="top" align="center">24.2</td>
<td valign="top" align="center">32.1</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">29.6</td>
<td valign="top" align="center">&lt;0.1</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">SY1703</td>
<td valign="top" align="center">31.5</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">3950</td>
<td valign="top" align="center">03/11/2017</td>
<td valign="top" align="center">24.2</td>
<td valign="top" align="center">32.6</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">69</td>
<td valign="top" align="center">19.0</td>
<td valign="top" align="center">0.5</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">SY1904</td>
<td valign="top" align="center">28.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">4110</td>
<td valign="top" align="center">04/20/2019</td>
<td valign="top" align="center">24.0</td>
<td valign="top" align="center">30.0</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">21.6</td>
<td valign="top" align="center">&lt;0.1</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">SY1911</td>
<td valign="top" align="center">30.0</td>
<td valign="top" align="center">138.0</td>
<td valign="top" align="center">4040</td>
<td valign="top" align="center">11/18/2019</td>
<td valign="top" align="center">24.4</td>
<td valign="top" align="center">31.3</td>
<td valign="top" align="center">89</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">24.9</td>
<td valign="top" align="center">&lt;0.1</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>a: The mixed-layer depth (MLD) is determined based on a 0.03 unit &#x3c3;&#x3b8; criterion from that of a near-surface value at the 10&#xa0;m depth.</p>
</fn>
<fn>
<p>b: The base of the euphotic zone (Z<sub>eu</sub>) is determined based on 1% penetration of photosynthetically available radiation (PAR) from that of the surface water.</p>
</fn>
<fn>
<p>c: SST is the water temperature at the surface.</p>
</fn>
<fn>
<p>d: N+N is the sum of nitrate and nitrite.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2_2">
<title>Sediment trap</title>
<p>The sediment traps used in this study were Knauer type, surface-tethered drifting sediment traps (<xref ref-type="bibr" rid="B31">Knauer et&#xa0;al., 1979</xref>). The trap array included surface floats to dampen vertical displacement caused by waves and sediment trap cross-pieces holding eight transparent acrylic cylinders at two depths. The collection area and aspect ratio of the cylinder were approximately 0.0037 m<sup>2</sup> and 8.27 (length, 620&#xa0;mm; width 75&#xa0;mm), respectively, except for the SY1308 cruise in which wider cylinders were used (0.0048 m<sup>2</sup> and 6.18 [length, 618&#xa0;mm; width 100&#xa0;mm]). The volume of the collection cup was 295 and 548 mL for the narrow and wide cylinders, respectively. The shallower depth was at Z<sub>eu</sub>, and the deeper depth was at 100&#xa0;m below Z<sub>eu</sub>. Z<sub>eu</sub> was determined as the depth of 1% photosynthetically active radiation based on direct measurement using the PRR-2600 Profiling Reflectance Radiometer (Biospherical Instruments) during each deployment (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). In several cases, the upper sediment trap was deployed within the surface mixed layer (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Sediment traps within the surface mixed layer have been reported to under- and over-collect sinking particles (<xref ref-type="bibr" rid="B55">White, 1990</xref>; <xref ref-type="bibr" rid="B21">Gardner, 2000</xref>; <xref ref-type="bibr" rid="B44">Owens et&#xa0;al., 2013</xref>). In those cases, the sinking flux of particles and <italic>T<sub>100</sub>
</italic> value should be treated with caution.</p>
<p>Before deployment, each cylinder was filled with 0.2-&#x3bc;m-filtered seawater collected from the surface after adding of 5&#xa0;g L<sup>-1</sup> pre-combusted NaCl (450&#xb0;C, 3&#xa0;h). The trap array was deployed for approximately 24&#xa0;h beginning at 12 PM or 4 PM. After recovery, the sediment traps were left undisturbed onboard for 1&#x2013;2 h to allow particles to settle to the bottom of the cylinder. The settling time was to allow most sinking particles to settle to the bottom and to minimize biological decomposition of sinking particles especially for small particles with high surface-to-volume ratio after recovery. Before removing the collection cup at the bottom of the cylinder, supernatant seawater in the cylinder was siphoned off. A portion of the slow-sinking-particles, which were resuspended above the collecting cup during the trap recovery, might be removed with the supernatant seawater resulting in underestimation of sinking flux. Sinking particles in the collection cup were collected on pre-combusted (3&#xa0;h at 450&#xb0;C) GF/F filters (Whatman). The GF/F filters were wrapped in aluminum foil and stored in a freezer  (&lt;-20&#xb0;C) until analysis of POC and particulate organic nitrogen (PON) in a land-based facility.</p>
</sec>
<sec id="s2_3">
<title>Water sampling and determination of environmental variables</title>
<p>Seawater samples were collected using 2.5- or 12- L Niskin bottles (GO-1010X; General Oceanics) mounted on a conductivity&#x2013;temperature&#x2013;depth carousel multi-sampling system (SBE 911plus, Sea-bird Scientific). Surface water (0&#xa0;m) was collected using a plastic bucket. The depth of the surface mixed layer (MLD) was determined based on a density threshold value relative to the near-surface value at 10&#xa0;m depth (&#x394;<italic>&#x3c3;&#x3b8;</italic> = 0.03&#xa0;kg m<sup>&#x2212;3</sup>) (<xref ref-type="bibr" rid="B16">de Boyer Montegut et&#xa0;al., 2004</xref>).</p>
<p>Samples collected for obtaining discrete vertical profiles of the concentrations of summed nitrate and nitrite (N+N), chlorophyll <italic>a</italic> (Chl <italic>a</italic>), POC, and PON were collected from the water column within the euphotic zone. Samples for determination of N+N were stored at&lt; &#x2212;20&#xb0;C until measurement in a land-based facility. Suspended particles in 200 mL and 10 L seawater were collected on a GF/F filter for determination of the concentrations of Chl <italic>a</italic> and particulate organic matter, respectively. GF/F filters for determination of the Chl <italic>a</italic> concentration were immersed in <italic>N</italic>, <italic>N</italic>-dimethylformamide (<xref ref-type="bibr" rid="B52">Suzuki and Ishimaru, 1990</xref>) immediately after filtration and then stored at&lt; &#x2212;20&#xb0;C in the dark until measurement on land. GF/F filters for POC and PON were treated using the same method as for the trap samples.</p>
</sec>
<sec id="s2_4">
<title>
<italic>In situ</italic> observation of the particle size distribution and calculation of its slope</title>
<p>The particle volume and PSD were measured at depths of 10 and 50&#xa0;m using an <italic>in situ</italic> laser diffraction sizer (LISST-100X, Sequoia Scientific), except on the SY1904 cruise. The LISST-100X measures light scattered by particles using 32 concentric, logarithmically spaced ring detectors. The volumetric particle concentration in each size class is estimated by inversion modeling based on Mie theory (<xref ref-type="bibr" rid="B1">Agrawal and Pottsmith, 2000</xref>). To minimize overestimation in the upper size bins driven by salinity fluctuation (<xref ref-type="bibr" rid="B49">Styles, 2006</xref>) and underestimation in the lower size bins due to low particulate concentrations or high ambient light conditions (<xref ref-type="bibr" rid="B3">Andrews et&#xa0;al., 2011</xref>), we used a size class range of 5.2&#x2013;119 &#x3bc;m (20 LISST bins) (<xref ref-type="bibr" rid="B57">Yamada et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B58">Yamada et&#xa0;al., 2021</xref>). The LISST-100X was mounted on a winch wire with a protective frame, and the volume of particles at a given depth was measured for 10&#xa0;min at a 1-s measurement interval (totaling 600 counts).</p>
<p>Total particle volume (TPV, ppm) was calculated as an integral across the whole size window (5.2&#x2013;119 &#x3bc;m). Volumetric size distribution data were used to calculate the PSD in numerical terms, assuming that particles are spheres. Then, the numerical PSD was determined using the following power-law equation (<xref ref-type="bibr" rid="B5">Bader, 1970</xref>; <xref ref-type="bibr" rid="B33">Kostadinov et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B11">Buonassissi and Dierssen, 2010</xref>; <xref ref-type="bibr" rid="B57">Yamada et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B58">Yamada et&#xa0;al., 2021</xref>):</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mtext>&#x3be;</mml:mtext>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>N</italic>(<italic>D</italic>) is the number of particles per volume of seawater normalized to the width of the size bin (particles L<sup>-1</sup> &#x3bc;m<sup>-1</sup>). <italic>D</italic> is the particle diameter (&#x3bc;m). <italic>D<sub>0</sub>
</italic> is the reference diameter (here 1 &#x3bc;m). <italic>N<sub>0</sub>
</italic> is the particle differential number concentration at <italic>D<sub>0</sub>
</italic> (particles L<sup>-1</sup> &#x3bc;m<sup>-1</sup>), and <italic>&#x3be;</italic> is the power-law slope of the PSD. We conducted linear regression of log-transformed data for calculation of <italic>&#x3be;</italic> and <italic>N<sub>0</sub>
</italic>.</p>
</sec>
<sec id="s2_5">
<title>Chemical analysis</title>
<p>The concentration of N+N was determined using a flow injection analyzer (TrAAcs 2000, Bran+Luebbe) (details in <xref ref-type="bibr" rid="B32">Kodama et&#xa0;al., 2014</xref>). The detection limit for determination was 0.1 &#x3bc;M. The reproducibility of seawater measurements had a coefficient of variation of&lt; 3% at an N+N concentration of 15.25 &#x3bc;M (n = 19). The nutrient concentrations were determined using commercially available nutrient standards: the CSK nutrient standard (Wako) and the Reference Material for Nutrients in Seawater (KANSO). Any concentration below the detection limit was set to 0.1 &#x3bc;M for statistical analysis.</p>
<p>The Chl <italic>a</italic> concentration was measured using a fluorometer (10-AU, Turner Designs) (<xref ref-type="bibr" rid="B54">Welschmeyer, 1994</xref>). For measurements of POC and PON, particles retained on GF/F filters were fumed with HCl mist for at least 24&#xa0;h in a plastic container to remove CaCO<sub>3</sub>. The total amounts of organic carbon and nitrogen were determined using an elemental analyzer (Elemental Analyzer-IRMS (FLASH 2000, Thermo Fisher Scientific).</p>
</sec>
<sec id="s2_6">
<title>Mathematical processing and statistical analysis</title>
<p>Depth-integrated values of Chl <italic>a</italic>, POC, PON, and TPV were calculated from discrete vertical profiles using the trapezoidal integration method. The resolution of discrete vertical profile data differed among variables (<xref ref-type="supplementary-material" rid="SM1">
<bold>Tables S1&#x2013;S3</bold>
</xref>). Depth-weighted mean values of variables within the euphotic zone were calculated <italic>via</italic> division of the depth-integrated value by the thickness of the euphotic zone.</p>
<p>To examine correlations between variables, Spearman rank order correlation analysis was performed, as the normality assumption was not fulfilled for some variables. For the same reason, the Mann&#x2013;Whitney rank sum test was used to compare outcomes between two groups. These statistical analyses and linear and non-linear regression analyses were performed using SigmaPlot 14.0 (Systat Software).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<p>As the scope of this study is to examine the mechanisms controlling temporal- and spatial-variations in the sinking flux of POC at Z<sub>eu</sub> and <italic>T<sub>100</sub>
</italic>, depth-integration and averaging within the euphotic zone were conducted for data on chemical and biological variables to capture the major features of the euphotic zone by vertically homogenizing the variable ranges and differences among seasons (<xref ref-type="supplementary-material" rid="SM1">
<bold>Tables S1&#x2013;S3</bold>
</xref>). Differences in vertical resolution among variables may introduce biases to the analysis of relationships among variables, and therefore we assumed that depth-integrated and depth-weighted mean values within the euphotic zone capture the regional and temporal variabilities of the features of the euphotic zone.</p>
<sec id="s3_1">
<title>Physical environment and nutrient concentrations</title>
<p>
<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> summarizes sea surface temperature (SST), MLD, Z<sub>eu</sub>, and the surface (0&#xa0;m) concentration of N+N, while the depth profiles of salinity, temperature, and density (<italic>&#x3c3;&#x3b8;</italic>) are shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Figures S1, S2</bold>
</xref>. SST varied from 15.2&#xb0;C to 29.0&#xb0;C and from 19.0&#xb0;C to 29.6&#xb0;C in the slope and subtropical gyre areas, respectively, and SST tended to be higher in the subtropical gyre than on the slope during a given cruise. MLD increased with decreasing SST in both areas. N+N in the slope area became high during the mixing period, whereas N+N in the subtropical gyre was below the detection limit except in March 2017. Z<sub>eu</sub> was less variable than MLD and showed no apparent coupling with variation in MLD, SST, or N+N. In three cases of trap deployment (01/21/2016, 03/08/2017 and 01/12/2018), the sediment trap at Z<sub>eu</sub> was moored in the mixed layer (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
</sec>
<sec id="s3_2">
<title>Depth-integrated values and concentrations of the sum of nitrate and nitrite, chlorophyll <italic>a</italic>, particulate organic carbon, and particulate organic nitrogen within the euphotic zone</title>
<p>The depth-integrated N+N within the euphotic zone (diN+N) varied from 100 to 490 mmol m<sup>-2</sup> and 8.7 to 73 mmol m<sup>-2</sup> in the slope and subtropical gyre areas, respectively (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). diN+N and depth-weighted mean N+N (dmN+N) in the slope area were significantly higher than in the subtropical gyre (Mann&#x2013;Whitney rank sum test, <italic>p</italic>&lt; 0.05). The diN+N variation in the slope area showed a negative correlation with SST (<italic>r<sub>s</sub>
</italic> = &#x2212; 0.886, <italic>p</italic>&lt; 0.05, n = 6), but there was no significant correlation between diN+N and SST in the subtropical gyre (<italic>p</italic> &gt; 0.05, n = 4). Depth-integrated Chl <italic>a</italic> within the euphotic zone (diChl <italic>a</italic>) varied from 27.4 to 48.5 mg Chl <italic>a</italic> m<sup>-2</sup> and from 12.1 to 28.0 mg Chl <italic>a</italic> m<sup>-2</sup> in the slope and subtropical gyre areas, respectively (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The variation in diChl <italic>a</italic> in each area showed no significant correlation (<italic>p</italic> &gt; 0.05) with SST or N+N, whereas the variation in diChl <italic>a</italic> in the entire dataset showed a negative correlation with that in SST (<italic>r<sub>s</sub>
</italic> = &#x2212;0.661, <italic>p</italic>&lt; 0.05, n = 10) and a positive correlation with that in N+N (<italic>r<sub>s</sub>
</italic> = 0.806, <italic>p</italic>&lt; 0.05, n = 10), suggesting that the biomass of phytoplankton along 138&#xb0;E was regulated by the availability of nutrients transported from the cold deeper layer (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S5</bold>
</xref>). diChl <italic>a</italic> was significantly higher on the slope than in the subtropical gyre (Mann&#x2013;Whitney rank sum test, <italic>p</italic>&lt; 0.05), and diChl <italic>a</italic> in the subtropical gyre showed greater variability than on the slope. The depth-weighted mean Chl <italic>a</italic> concentration within the euphotic zone (dmChl <italic>a</italic>) ranged from 0.403 to 0.647 &#x3bc;g Chl <italic>a</italic> L<sup>-1</sup> and from 0.165 to 0.387 &#x3bc;g Chl <italic>a</italic> L<sup>-1</sup> in the slope and subtropical gyre areas, respectively (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The variability in dmChl <italic>a</italic> was similar in magnitude to that in diChl <italic>a</italic>, and dmChl <italic>a</italic> was significantly higher on the slope than in the subtropical gyre (Mann&#x2013;Whitney rank sum test, p&lt; 0.05).</p>
<table-wrap id="T3" position="float">
<label>Table 3</label>
<caption>
<p>Depth-integrated amounts and depth-weighted mean concentrations of sum of nitrate and nitrite (N+N), chlorophyll&#xa0;<italic>a</italic>&#xa0;(Chl&#xa0;<italic>a</italic>), particulate organic carbon (POC) and nitrogen (PON), and total particle volume (TPV: 5.12 -119 &#x3bc;m in diameter) within the euphotic layer<sup>a</sup>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Area</th>
<th valign="top" align="center">Deployment(mm/dd/yyyy)</th>
<th valign="top" align="center">Depth-Integrated N+N(mmol m<sup>-2</sup>)</th>
<th valign="top" align="center">Depth-weighted mean N+N(&#x3bc;M)</th>
<th valign="top" align="center">Depth-Integrated Chl&#xa0;<italic>a</italic>(mg m<sup>-2</sup>)</th>
<th valign="top" colspan="3" align="center">Depth-weighted mean&#xa0;Chl&#xa0;<italic>a</italic>(&#x3bc;g L<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Slope</td>
<td valign="top" align="center">08/27/2018</td>
<td valign="top" align="center">140</td>
<td valign="top" align="center">2.6</td>
<td valign="top" align="center">27.4</td>
<td valign="top" colspan="3" align="center">0.507</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">01/21/2016</td>
<td valign="top" align="center">470</td>
<td valign="top" align="center">6.3</td>
<td valign="top" align="center">48.5</td>
<td valign="top" colspan="3" align="center">0.647</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/08/2017</td>
<td valign="top" align="center">490</td>
<td valign="top" align="center">7.5</td>
<td valign="top" align="center">37.3</td>
<td valign="top" colspan="3" align="center">0.574</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">01/12/2018</td>
<td valign="top" align="center">250</td>
<td valign="top" align="center">3.8</td>
<td valign="top" align="center">30.1</td>
<td valign="top" colspan="3" align="center">0.463</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/05/2019</td>
<td valign="top" align="center">350</td>
<td valign="top" align="center">3.9</td>
<td valign="top" align="center">35.9</td>
<td valign="top" colspan="3" align="center">0.403</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">11/17/2019</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">1.4</td>
<td valign="top" align="center">39.4</td>
<td valign="top" colspan="3" align="center">0.540</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">300 &#xb1; 160</td>
<td valign="top" align="center">4.3 &#xb1; 2.3</td>
<td valign="top" align="center">36.4 &#xb1; 7.5</td>
<td valign="top" colspan="3" align="center">0.522 &#xb1; 0.085</td>
</tr>
<tr>
<td valign="top" align="left">Subtropical gyre</td>
<td valign="top" align="center">09/01/2013</td>
<td valign="top" align="center">7.4</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">12.1</td>
<td valign="top" colspan="3" align="center">0.170</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/11/2017</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">1.1</td>
<td valign="top" align="center">26.7</td>
<td valign="top" colspan="3" align="center">0.387</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">04/20/2019</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">28.0</td>
<td valign="top" colspan="3" align="center">0.280</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">11/18/2019</td>
<td valign="top" align="center">8.7</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">14.4</td>
<td valign="top" colspan="3" align="center">0.165</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">25 &#xb1; 32</td>
<td valign="top" align="center">0.4 &#xb1; 0.5</td>
<td valign="top" align="center">20.3 &#xb1; 8.3</td>
<td valign="top" colspan="3" align="center">0.251 &#xb1; 0.105</td>
</tr>
<tr>
<td valign="top" align="left">Difference between two areas<sup>b,c</sup>
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">
<italic>p</italic>&lt;0.05</td>
<td valign="top" align="center">
<italic>p</italic>&lt;0.05</td>
<td valign="top" align="center">
<italic>p</italic>&lt;0.05</td>
<td valign="top" colspan="3" align="center">
<italic>p</italic>&lt;0.05</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Area</bold>
</td>
<td valign="top" align="left">
<bold>Deployment</bold>
<break/>
<bold>(mm/dd/yyyy)</bold>
</td>
<td valign="top" align="left">
<bold>Depth-Integrated POC</bold>
<break/>
<bold>(g m<sup>-2</sup>)</bold>
</td>
<td valign="top" align="left">
<bold>Depth-weighted mean POC</bold>
<break/>
<bold>(&#x3bc;g L<sup>-1</sup>)</bold>
</td>
<td valign="top" align="left">
<bold>Depth-Integrated PON</bold>
<break/>
<bold>(g m<sup>-2</sup>)</bold>
</td>
<td valign="top" align="left">
<bold>Depth-weighted mean PON</bold>
<break/>
<bold>(&#x3bc;g L<sup>-1</sup>)</bold>
</td>
<td valign="top" align="left">
<bold>Depth-Integrated TPV</bold>
<break/>
<bold>(10<sup>-6</sup>m<sup>3</sup>m<sup>-2</sup>)</bold>
</td>
<td valign="top" align="left">
<bold>Depth-weighted mean TPV</bold>
<break/>
<bold>(ppm)</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">Slope</td>
<td valign="top" align="center">08/27/2018</td>
<td valign="top" align="center">2.44</td>
<td valign="top" align="center">45.2</td>
<td valign="top" align="center">0.455</td>
<td valign="top" align="center">8.43</td>
<td valign="top" align="center">8.30</td>
<td valign="top" align="center">0.153</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">01/21/2016</td>
<td valign="top" align="center">2.33</td>
<td valign="top" align="center">31.1</td>
<td valign="top" align="center">0.488</td>
<td valign="top" align="center">6.51</td>
<td valign="top" align="center">14.0</td>
<td valign="top" align="center">0.187</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/08/2017</td>
<td valign="top" align="center">1.99</td>
<td valign="top" align="center">30.6</td>
<td valign="top" align="center">0.395</td>
<td valign="top" align="center">6.08</td>
<td valign="top" align="center">10.8</td>
<td valign="top" align="center">0.166</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">01/12/2018</td>
<td valign="top" align="center">1.46</td>
<td valign="top" align="center">22.5</td>
<td valign="top" align="center">0.259</td>
<td valign="top" align="center">3.98</td>
<td valign="top" align="center">8.75</td>
<td valign="top" align="center">0.134</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/05/2019</td>
<td valign="top" align="center">2.75</td>
<td valign="top" align="center">30.9</td>
<td valign="top" align="center">0.502</td>
<td valign="top" align="center">5.64</td>
<td valign="top" align="center">12.0</td>
<td valign="top" align="center">0.135</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">11/17/2019</td>
<td valign="top" align="center">3.21</td>
<td valign="top" align="center">44.0</td>
<td valign="top" align="center">0.577</td>
<td valign="top" align="center">7.90</td>
<td valign="top" align="center">30.1</td>
<td valign="top" align="center">0.412</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">2.36 &#xb1; 0.60</td>
<td valign="top" align="center">34.1 &#xb1; 8.8</td>
<td valign="top" align="center">0.446 &#xb1; 0.109</td>
<td valign="top" align="center">6.42 &#xb1; 1.61</td>
<td valign="top" align="center">14.0 &#xb1; 8.2</td>
<td valign="top" align="center">0.198 &#xb1; 0.107</td>
</tr>
<tr>
<td valign="top" align="left">Subtropical gyre</td>
<td valign="top" align="center">09/01/2013</td>
<td valign="top" align="center">1.88</td>
<td valign="top" align="center">26.5</td>
<td valign="top" align="center">0.358</td>
<td valign="top" align="center">5.04</td>
<td valign="top" align="center">7.16</td>
<td valign="top" align="center">0.101</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/11/2017</td>
<td valign="top" align="center">2.36</td>
<td valign="top" align="center">34.2</td>
<td valign="top" align="center">0.476</td>
<td valign="top" align="center">6.90</td>
<td valign="top" align="center">21.2</td>
<td valign="top" align="center">0.307</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">04/20/2019</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">11/18/2019</td>
<td valign="top" align="center">1.58</td>
<td valign="top" align="center">18.2</td>
<td valign="top" align="center">0.256</td>
<td valign="top" align="center">2.94</td>
<td valign="top" align="center">12.8</td>
<td valign="top" align="center">0.147</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">1.94 &#xb1; 0.39</td>
<td valign="top" align="center">26.3 &#xb1; 8.0</td>
<td valign="top" align="center">0.363 &#xb1; 0.110</td>
<td valign="top" align="center">4.96 &#xb1; 1.98</td>
<td valign="top" align="center">13.7 &#xb1; 7.1</td>
<td valign="top" align="center">0.185 &#xb1; 0.109</td>
</tr>
<tr>
<td valign="top" align="left">Difference between two areas<sup>b,c</sup>
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>a: See text for an explanation of the calculation of the integrated amounts using data in&#xa0;<xref ref-type="supplementary-material" rid="SM1">
<bold>Tables S1&#x2013;S3</bold>
</xref>.</p>
</fn>
<fn>
<p>b: Differences in distribution among areas were tested using the Mann&#x2013;Whitney rank sum test.</p>
</fn>
<fn>
<p>c: N.S. indicates insignificant difference (p &gt; 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Contrasting Chl <italic>a</italic>, no significant difference in POC and PON between the slope and subtropical gyre were observed from depth-integrated values (diPOC and diPON, respectively) or depth-weighted mean values (dmPOC and dmPON, respectively) in the euphotic zone (Mann&#x2013;Whitney rank sum test, p &gt; 0.05; <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Moreover, no significant correlations of diChl <italic>a</italic> with diPOC or diPON were observed within each area or in the entire dataset (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S5</bold>
</xref>). However, the mean ratios of POC/PON in the slope and subtropical gyre areas were comparable with the Redfield ratio (C:N = 106:16), suggesting that plankton were a major component of the sampled particulate organic matter (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Particle properties within the euphotic layer.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Area</th>
<th valign="top" align="center">Deployment(mm/dd/yyyy)</th>
<th valign="top" align="center">POC/PON(molar ratio)</th>
<th valign="top" align="center">Chl <italic>a</italic>/TPV(fg &#x3bc;m<sup>-3</sup>)</th>
<th valign="top" align="center">POC/TPV(fg &#x3bc;m<sup>-3</sup>)</th>
<th valign="top" align="center">PON/TPV(fg &#x3bc;m<sup>-3</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Slope</td>
<td valign="top" align="center">08/27/2018</td>
<td valign="top" align="center">6.26</td>
<td valign="top" align="center">3.30</td>
<td valign="top" align="center">294</td>
<td valign="top" align="center">54.8</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">01/21/2016</td>
<td valign="top" align="center">5.57</td>
<td valign="top" align="center">3.47</td>
<td valign="top" align="center">166</td>
<td valign="top" align="center">34.9</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">03/08/2017</td>
<td valign="top" align="center">5.88</td>
<td valign="top" align="center">3.45</td>
<td valign="top" align="center">184</td>
<td valign="top" align="center">36.6</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">01/12/2018</td>
<td valign="top" align="center">6.58</td>
<td valign="top" align="center">3.43</td>
<td valign="top" align="center">167</td>
<td valign="top" align="center">29.6</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">03/05/2019</td>
<td valign="top" align="center">6.39</td>
<td valign="top" align="center">2.99</td>
<td valign="top" align="center">229</td>
<td valign="top" align="center">41.8</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">11/17/2019</td>
<td valign="top" align="center">6.49</td>
<td valign="top" align="center">1.31</td>
<td valign="top" align="center">107</td>
<td valign="top" align="center">19.2</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">6.20 &#xb1; 0.39</td>
<td valign="top" align="center">2.99 &#xb1; 0.84</td>
<td valign="top" align="center">191 &#xb1; 64</td>
<td valign="top" align="center">36.2 &#xb1; 11.9</td>
</tr>
<tr>
<td valign="top" align="left">Subtropical gyre</td>
<td valign="top" align="center">09/01/2013</td>
<td valign="top" align="center">6.13</td>
<td valign="top" align="center">1.68</td>
<td valign="top" align="center">263</td>
<td valign="top" align="center">50.0</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">03/11/2017</td>
<td valign="top" align="center">5.78</td>
<td valign="top" align="center">1.26</td>
<td valign="top" align="center">111</td>
<td valign="top" align="center">22.5</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">04/20/2019</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">11/18/2019</td>
<td valign="top" align="center">7.20</td>
<td valign="top" align="center">1.12</td>
<td valign="top" align="center">123</td>
<td valign="top" align="center">20.0</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">6.37 &#xb1; 0.74</td>
<td valign="top" align="center">1.35 &#xb1; 0.29</td>
<td valign="top" align="center">166 &#xb1; 85</td>
<td valign="top" align="center">30.8 &#xb1; 16.6</td>
</tr>
<tr>
<td valign="top" align="left">Difference between two areas<sup>a,b</sup>
</td>
<td valign="top" align="center"/>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">
<italic>p</italic>&lt;0.05</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>a: Differences in distribution among areas were tested using the Mann&#x2013;Whitney rank sum test.</p>
</fn>
<fn>
<p>b: N.S. indicates an insignificant difference (p &gt; 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_3">
<title>Total particle volume, mean particle diameter, and slope of the particle size distribution</title>
<p>PSDs in terms of number and volume within the euphotic zone show temporal variabilities in both the slope and subtropical gyre areas (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S3</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S4</bold>
</xref>). In both areas, the PSD in number fitted well to Eq. (1), with determination coefficient values of 0.95&#x2013;1.00 (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). The slope (<italic>&#x3be;</italic>) of PSD in number varied from &#x2212;3.5 to &#x2212;4.1 and from &#x2212;3.5 and &#x2212;4.8 in the slope and subtropical gyre areas, respectively, with no significant difference between two areas (Mann&#x2013;Whitney rank sum test, <italic>p</italic> &gt; 0.05). The variation in <italic>&#x3be;</italic> is not reflected in the mean particle diameter based on the PSD in number (mPD<sub>N</sub>), but rather in the mean particle diameter based on the volumetric PSD (mPD<sub>V</sub>) (<xref ref-type="table" rid="T5">
<bold>Tables&#xa0;5</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S5</bold>
</xref>). mPD<sub>V</sub> shows greater variability than mPD<sub>N</sub> (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>), ranging from 37.2 to 56.7 &#x3bc;m and from 23.0 to 58.0 &#x3bc;m in the slope and subtropical gyre areas, respectively. Similar to <italic>&#x3be;</italic>, no significant difference in mPD<sub>V</sub> between two areas was observed (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). Depth-integrated TPV (diTPV) varied from 8.75 to 30.1 10<sup>-6</sup> m<sup>3</sup> m<sup>-2</sup> and from 7.16 to 21.2 10<sup>-6</sup> m<sup>3</sup> m<sup>-2</sup> in the slope and subtropical gyre areas, respectively, showing greater variability than diChl <italic>a</italic>, diPOC and diPON (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Particle size number distribution following the power-law model (Eq. 1) using double logarithmic transformation in the size range of 5.2&#x2013;119 &#x3bc;m at depths of 10 and 50&#xa0;m and averaged across the euphotic zone (see details in the main text) in the slope area. Error bars indicate standard error. The regression line was obtained using the ordinary least squares method for each sampling period. The statistical parameters of the regression are listed in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-875362-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Particle size number distribution following the power-law model (Eq. 1) using double logarithmic transformation in the size range of 5.2&#x2013;119 &#x3bc;m at depths of 10 and 50&#xa0;m and averaged across the euphotic zone (see details in the main text) in the subtropical gyre area. Error bars indicate standard error. The regression line was obtained using the ordinary least squares method for each sampling period. The statistical parameters of the regression are listed in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-875362-g003.tif"/>
</fig>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Mean diameters of particles between 5.12 and 119 &#x3bc;m in diameter (mPD) and parameters of each regression line for the mean particle size distribution (PSD) in the euphotic layer<sup>a</sup>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Area</th>
<th valign="top" align="center">Deployment (mm/dd/yyyy)</th>
<th valign="top" align="center">mPD of number PSD(mPD<sub>N</sub>: &#x3bc;m)<sup>b</sup>
</th>
<th valign="top" align="center">mPD of volumetric PSD(mPD<sub>V</sub>: &#x3bc;m)<sup>b</sup>
</th>
<th valign="top" align="center">Slope (x)<sup>c</sup>
</th>
<th valign="top" align="center">
<inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>g</mml:mi>
<mml:msubsup>
<mml:mi>N</mml:mi>
<mml:mn>0</mml:mn>
<mml:mi>c</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th valign="top" align="center">
<italic>r</italic>
<sup>2</sup>
</th>
<th valign="top" align="center">n<sup>d</sup>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Slope</td>
<td valign="top" align="center">08/27/2018</td>
<td valign="top" align="center">6.72 &#xb1; 3.75</td>
<td valign="top" align="center">51.9 &#xb1; 40.3</td>
<td valign="top" align="center">-3.7 &#xb1; 0.1</td>
<td valign="top" align="center">7.5 &#xb1; 0.1</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">01/21/2016</td>
<td valign="top" align="center">6.64 &#xb1; 3.62</td>
<td valign="top" align="center">49.9 &#xb1; 38.8</td>
<td valign="top" align="center">-3.8 &#xb1; 0.1</td>
<td valign="top" align="center">7.7 &#xb1; 0.1</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">03/08/2017</td>
<td valign="top" align="center">6.72 &#xb1; 3.50</td>
<td valign="top" align="center">50.4 &#xb1; 40.8</td>
<td valign="top" align="center">-3.8 &#xb1; 0.1</td>
<td valign="top" align="center">7.7 &#xb1; 0.1</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">01/12/2018</td>
<td valign="top" align="center">8.69 &#xb1; 5.85</td>
<td valign="top" align="center">56.7 &#xb1; 40.8</td>
<td valign="top" align="center">-3.6 &#xb1; 0.2</td>
<td valign="top" align="center">7.2 &#xb1; 0.3</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">03/05/2019</td>
<td valign="top" align="center">7.02 &#xb1; 3.64</td>
<td valign="top" align="center">38.4 &#xb1; 36.3</td>
<td valign="top" align="center">-4.1 &#xb1; 0.1</td>
<td valign="top" align="center">8.0 &#xb1; 0.1</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">11/17/2019</td>
<td valign="top" align="center">7.44 &#xb1; 4.56</td>
<td valign="top" align="center">37.2 &#xb1; 30.6</td>
<td valign="top" align="center">-3.9 &#xb1; 0.1</td>
<td valign="top" align="center">8.2 &#xb1; 0.1</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">7.21 &#xb1; 0.79</td>
<td valign="top" align="center">47.4 &#xb1; 7.84</td>
<td valign="top" align="center">-3.8 &#xb1; 0.2</td>
<td valign="top" align="center">7.7 &#xb1; 0.4</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">Subtropical gyre</td>
<td valign="top" align="center">09/01/2013</td>
<td valign="top" align="center">6.51 &#xb1; 3.53</td>
<td valign="top" align="center">40.0 &#xb1; 35.9</td>
<td valign="top" align="center">-4.0 &#xb1; 0.1</td>
<td valign="top" align="center">7.7 &#xb1; 0.1</td>
<td valign="top" align="center">1.0</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">03/11/2017</td>
<td valign="top" align="center">7.47 &#xb1; 4.91</td>
<td valign="top" align="center">58.6 &#xb1; 40.1</td>
<td valign="top" align="center">-3.5 &#xb1; 0.1</td>
<td valign="top" align="center">7.5 &#xb1; 0.1</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">04/20/2019</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">11/18/2019</td>
<td valign="top" align="center">7.91 &#xb1; 4.45</td>
<td valign="top" align="center">23.0 &#xb1; 15.7</td>
<td valign="top" align="center">-4.8 &#xb1; 0.2</td>
<td valign="top" align="center">8.8 &#xb1; 0.4</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">7.30 &#xb1; 0.72</td>
<td valign="top" align="center">40.5 &#xb1; 17.8</td>
<td valign="top" align="center">-4.1 &#xb1; 0.7</td>
<td valign="top" align="center">8.0 &#xb1; 0.7</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">Difference between two areas<sup>e,f</sup>
</td>
<td valign="top" align="center"/>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>a: See text for an explanation of the equation.</p>
</fn>
<fn>
<p>b: Values are the mean &#xb1; standard deviation except for the result of the Mann&#x2013;Whitney rank sum test.</p>
</fn>
<fn>
<p>c: Values are the mean &#xb1; standard error except for the mean value of each area and the result of the Mann&#x2013;Whitney rank sum test.</p>
</fn>
<fn>
<p>d: Number of size bins.</p>
</fn>
<fn>
<p>e: Differences in distribution among areas were tested using the Mann&#x2013;Whitney rank sum test.</p>
</fn>
<fn>
<p>f: N.S. indicates insignificant difference (p &gt; 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_4">
<title>Sinking fluxes of particulate organic carbon, particulate organic nitrogen, and <italic>T<sub>100</sub>
</italic>
</title>
<p>The sinking flux of POC at Z<sub>eu</sub> ranged from 51.9 to 235 mg m<sup>-2</sup> d<sup>-1</sup> and from 43.7 to 92.0 mg m<sup>-2</sup> d<sup>-1</sup> in the slope and subtropical gyre areas, respectively (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>), with no significant difference between areas (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). At Z<sub>eu</sub>, the variation in sinking flux of POC in the entire dataset was closely related to the sinking flux of PON (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S5</bold>
</xref>; <italic>r<sub>s</sub>
</italic>= 0.648, <italic>p</italic>&lt; 0.05, n = 10; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S5</bold>
</xref>) and showed increases during the cold period (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>; <italic>r<sub>s</sub>
</italic>= &#x2212;0.624, p&lt; 0.05, n = 10; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S5</bold>
</xref>) and with increasing diChl <italic>a</italic> (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>; <italic>r<sub>s</sub>
</italic>= 0.648, p&lt; 0.05, n = 10; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S5</bold>
</xref>). However, the three correlations with the sinking flux of POC at Z<sub>eu</sub> were not significant (<italic>p</italic>&lt; 0.05) within each region, except for the correlation between the sinking flux of POC and that of PON in the slope area. The variations in sinking flux of POC at <italic>Z<sub>eu</sub>
</italic> and diN+N were not correlated within each area and in the entire dataset (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S5</bold>
</xref>), despite a significant correlation between the sinking flux of PON at Z<sub>eu</sub> and N+N in the entire dataset (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S5</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Fluxes of particulate organic carbon (POC) at the base of the euphotic zone (Z<sub>eu</sub>) and at a depth of 100&#xa0;m below Z<sub>eu</sub>, as well as <italic>T<sub>100</sub>
</italic> during deployments in <bold>(A)</bold> the slope area and <bold>(B)</bold> the subtropical gyre area. Error bars indicate ranges or standard deviations (n = 2&#x2013;3; see details in <xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-875362-g004.tif"/>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Relationships of POC flux with <bold>(A)</bold> PON flux, <bold>(B)</bold> sea surface temperature, and <bold>(C)</bold> the depth-integrated amount of chlorophyll <sup>a</sup>Spearman rank order correlations (<italic>r<sub>s</sub>
</italic>) are presented.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-875362-g005.tif"/>
</fig>
<p>The fluctuation in the sinking flux of POC at a depth of 100&#xa0;m below Z<sub>eu</sub> was not similar to that of sinking flux of POC at Z<sub>eu</sub>, with <italic>T<sub>100</sub>
</italic> ranging from 0.307 to 0.646 and from 0.090 to 0.958 in the slope and subtropical gyre areas, respectively. Similar to the areal distribution of sinking flux of POC at Z<sub>eu</sub>, the areal distribution of <italic>T<sub>100</sub>
</italic> showed no significant difference between areas (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). Despite the significant correlation between the sinking flux of POC at Z<sub>eu</sub> and SST, no significant correlation between <italic>T<sub>100</sub>
</italic> and SST was observed within each area or in the entire dataset (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>). In the entire dataset, <italic>T<sub>100</sub>
</italic> tended to decrease with increasing sinking flux of POC at Z<sub>eu</sub> (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>; <italic>r<sub>s</sub>
</italic>= &#x2212;0.661, <italic>p</italic>&lt; 0.05, n = 10; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S6</bold>
</xref>), while it increased with increasing mPDV (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>; <italic>r<sub>s</sub>
</italic>= 0.700, <italic>p</italic>&lt; 0.05, n = 9; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S6</bold>
</xref>) and <italic>&#x3be;</italic> (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6C</bold>
</xref>; <italic>r<sub>s</sub>
</italic>= 0.695, <italic>p</italic>&lt; 0.05, n = 9; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S6</bold>
</xref>). These three correlations with <italic>T<sub>100</sub>
</italic> were not significant (<italic>p</italic>&lt; 0.05) within each region.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Relationships of <italic>T<sub>100</sub>
</italic> with <bold>(A)</bold> sea surface temperature, <bold>(B)</bold> sinking flux of POC, <bold>(C)</bold> mean particle diameter of the volumetric particle size distribution (mPD<sub>V</sub>), and <bold>(D)</bold> slope of the regression line of the particle size number distribution. Spearman rank order correlations (<italic>r<sub>s</sub>
</italic>) are presented.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-875362-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<sec id="s4_1">
<title>Oceanographic settling and particle properties on the slope and in the subtropical gyre</title>
<p>The study sites on the slope and in the subtropical gyre were located on different sides of the eastward Kuroshio Current, and their physicochemical environments were affected by the current (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The mean surface geostrophic current from 1 August 2013 to 30 November 2019 indicated that Kuroshio water was transported laterally into the surface of the slope area, and that a cyclonic eddy was located on the downstream side of the Kuroshio Current from the sampling sites in the subtropical gyre (28&#xb0;N&#x2013;32&#xb0;N, 133&#xb0;E&#x2013;137&#xb0;E). Because the location of the axis of the Kuroshio Current is unstable (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>), it is difficult to generalize the positional relation between sampling sites and the Kuroshio Current or eddies. The seasonal variation of Z<sub>eu</sub> in the subtropical gyre is not obvious (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). However, the deeper Z<sub>eu</sub> in the subtropical gyre than on the slope is consistent with the difference in dmChl <italic>a</italic> between the two areas (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Z<sub>eu</sub> in the slope area showed no apparent coupling with the variations in MLD, SST, or N+N at the surface (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>), even though the molar ratio of nutrients in the study area indicates that N+N is the potential limiting factor of primary production rather than phosphate or silicic acid (<xref ref-type="bibr" rid="B32">Kodama et&#xa0;al., 2014</xref>). The lower variability in diChl <italic>a</italic> and dmChl <italic>a</italic> than dmN+N on the slope implies that grazing on phytoplankton or diapycnal mixing with deeper water suppressed the accumulation of diChl <italic>a</italic> and dmChl <italic>a</italic>, resulting in low variability in Z<sub>eu</sub> (<xref ref-type="bibr" rid="B30">Kaneko et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B41">Nagai et&#xa0;al., 2019</xref>).</p>
<p>Differences in the areal distributions of particle properties between the two areas were not statistically significant, except for Chl <italic>a</italic>/TPV (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). Therefore, subsequent analyses of particle properties, sinking POC flux, and <italic>T<sub>100</sub>
</italic> were conducted using the entire dataset, followed by the evaluation of trends within each area. No significant correlation of diTPV with diChl <italic>a</italic>, diPOC, or diPON was observed (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S5</bold>
</xref>), implying that the chemical properties of particles (Chl <italic>a</italic>/TPV, POC/TPV, and PON/TPV) exhibited short-term fluctuations. Only Chl <italic>a</italic>/TPV showed a regional difference between the slope and subtropical gyre (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). The variations in Chl <italic>a</italic>/TPV had significant positive correlations with Chl <italic>a</italic> (<italic>r<sub>s</sub>
</italic> = 0.783, p&lt; 0.05, n = 9; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S6</bold>
</xref>), indicating that the volumetric contribution of non-phytoplankton particles to total particles increases in an oligotrophic environment. Furthermore, POC/TPV was negatively correlated with dmTPV (<italic>r<sub>s</sub>
</italic> = &#x2212;0.667, p&lt; 0.05, n = 9; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S6</bold>
</xref>), whereas the mean ratios of POC/PON in the slope and subtropical gyre areas suggest that plankton were a major component of the particulate organic matter (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). These results imply that the change in the POC/TPV was the results in the difference in porous structures, which made a smaller contribution to the total organic matter of each particle than did planktonic organisms. This is consistent with the accumulation of larger particles detectable by LISST-100X in the presence of a high concentration of TEP, which has a porous, gel-like structure, in the subtropical northwest Pacific along the Kuroshio Current (<xref ref-type="bibr" rid="B58">Yamada et&#xa0;al., 2021</xref>). Therefore, porous gel-like materials may be a determinant of particle dynamics in subtropical environments.</p>
</sec>
<sec id="s4_2">
<title>Comparison of the sinking flux of particulate organic carbon at the base of the euphotic zone and transfer efficiency to the deeper layer</title>
<p>In marine environments, the sinking flux of POC shows large regional and temporal variability (<xref ref-type="bibr" rid="B9">Buesseler and Boyd, 2009</xref>; <xref ref-type="bibr" rid="B14">Cavan et&#xa0;al., 2019</xref>). The sinking POC at Z<sub>eu</sub> in the entire dataset showed temporal variability correlated with SST and diChl <italic>a</italic> (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5B, C</bold>
</xref>). However, seasonal variability in the subtropical gyre was modest (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>). The range of the sinking flux of POC at Z<sub>eu</sub> in the subtropical gyre exceeds values in the subtropical North Pacific Ocean near Hawaii (station ALOHA) and is comparable with the range in the Gulf of Mexico (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S7</bold>
</xref>), but the range of of the sinking flux of POC at Z<sub>eu</sub> on the slope, where NPP is greater than in the subtropical gyre (<xref ref-type="bibr" rid="B59">Yokouchi et&#xa0;al., 2006</xref>), is comparable with those in mid-latitude areas (Iberian basin, Spanish coast, and Gulf of Mexico) and in high-latitude areas (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S7</bold>
</xref>). It is worth comparing the sinking flux of POC and <italic>T<sub>100</sub>
</italic> in the Kuroshio region to those in the Gulf of Mexico. In the Gulf of Mexico, mesoscale activities driven by the Loop Current and the eddies affects hydrography and biogeochemistry in the oligotrophic environments (<xref ref-type="bibr" rid="B23">Green et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B48">Stukel et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B34">Lee-S&#xe1;nchez et&#xa0;al., 2022</xref>). Similarly, diverse routes of nutrient supply along the Kuroshio Current, including diapycnal turbulent mixing, wind- or tide-induced near-inertial internal waves, and double-diffusive convection, support higher primary productivity in the Kuroshio Current area relative to the subtropical gyre (<xref ref-type="bibr" rid="B41">Nagai et&#xa0;al., 2019</xref>).</p>
<p>
<italic>T<sub>100</sub>
</italic> in marine environments varies and may exceed 1 in areas where particle production or lateral transport of particles occurs below the euphotic zone (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S7</bold>
</xref>), but it shows no marked regional trend. The range of <italic>T<sub>100</sub>
</italic> in this study was within the range of previous studies shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S7</bold>
</xref>, except for the lowest value (0.090). The areal averages of <italic>T<sub>100</sub>
</italic> on the slope (0.437 &#xb1; 0.130) and in the subtropical gyre (0.504 &#xb1; 0.0380) are comparable with the range in the Gulf of Mexico (0.437&#x2013;0.657; <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S7</bold>
</xref>). However, no seasonal trend was observed (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>). In the following section, we test the hypothesis that particle size affects the attenuation of sinking POC by altering sinking speed in slope and subtropical gyre areas along the Kuroshio Current.</p>
</sec>
<sec id="s4_3">
<title>Relationship between variation in <italic>T<sub>100</sub>
</italic> and particle size</title>
<p>Using numerical models, <xref ref-type="bibr" rid="B15">Cram et&#xa0;al. (2018)</xref> and <xref ref-type="bibr" rid="B43">Omand et&#xa0;al. (2020)</xref> demonstrated that increasing the sinking speed of particles enhances the transfer efficiency of sinking organic matter to deeper layers by reducing residence time within the water column. The positive correlation between <italic>T<sub>100</sub>
</italic> and mPD<sub>V</sub> (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>) and the positive correlation between <italic>T<sub>100</sub>
</italic> and <italic>&#x3be;</italic> (i.e., lower <italic>&#x3be;</italic> indicates a greater contribution of smaller particles) (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6C</bold>
</xref>) are consistent with the results obtained by <xref ref-type="bibr" rid="B15">Cram et&#xa0;al. (2018)</xref> and <xref ref-type="bibr" rid="B43">Omand et&#xa0;al. (2020)</xref>. However, <italic>T<sub>100</sub>
</italic> decreased during the period of high sinking flux of POC at Z<sub>eu</sub>, suggesting that active biological decomposition enhanced vertical attenuation of sinking flux of POC (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>). <xref ref-type="bibr" rid="B28">Honda et&#xa0;al. (2016)</xref> reported close coupling between the attenuation of POC flux and zooplankton carbon demand. Active decomposition of zooplankton might alter the shape of the PSD <italic>via</italic> size-selective consumption of particles (<xref ref-type="bibr" rid="B20">Fuchs and Franks, 2010</xref>; <xref ref-type="bibr" rid="B47">Stamieszkin et&#xa0;al., 2017</xref>).</p>
<p>To conduct a more process-oriented comparison, we assumed that attenuation of POC flux can be expressed using first-order kinetics from the flux and time, <italic>t</italic>:</p>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>F<sub>z</sub>
</italic> and <italic>F<sub>0</sub>
</italic> are the sinking fluxes of POC at the depth of <italic>z</italic> and the reference depth <italic>z<sub>0</sub>
</italic>, respectively (<xref ref-type="bibr" rid="B50">Suess, 1980</xref>; <xref ref-type="bibr" rid="B4">Armstrong et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B38">Lutz et&#xa0;al., 2002</xref>). <italic>k</italic> is the rate of decomposition including bacterial decomposition and zooplankton grazing. Time can be reformulated based on the sinking rate, <italic>w</italic>, and the distance between the reference depth and <italic>z</italic>:</p>
<disp-formula>
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>z</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mi>w</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>
<italic>k</italic>/<italic>w</italic> in Eq. (3) corresponds to z* in previous studies (<xref ref-type="bibr" rid="B8">Boyd and Trull, 2007</xref>; <xref ref-type="bibr" rid="B40">Marsay et&#xa0;al., 2015</xref>). For spherical particles, Stokes law predicts that</p>
<disp-formula>
<label>(4),</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>&#x394;</mml:mi>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>18</mml:mn>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:msup>
<mml:mi>D</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>D</italic> is the particle diameter, <italic>&#x394;&#x3c1;</italic> is the density difference between the particle and seawater; <italic>&#x3bc;</italic> is seawater viscosity, and <italic>g</italic> is gravitational acceleration. For marine particles, <italic>&#x394;&#x3c1;</italic> tends to decrease with increasing <italic>D</italic>, as w ~ <italic>D</italic>
<sup>&#x3b3;</sup> with &#x3b3;&lt; 2 (<xref ref-type="bibr" rid="B2">Alldredge and Gotschalk, 1988</xref>). If <italic>z<sub>0</sub>
</italic> is Z<sub>eu</sub>, <italic>T<sub>100</sub>
</italic> can be simplified to</p>
<disp-formula>
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>100</mml:mn>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:msup>
<mml:mi>D</mml:mi>
<mml:mi>&#x3b3;</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>a</italic> is the constant defining the empirical power-law relationship between <italic>w</italic> and <italic>D</italic>. Thus, the logarithmic value of <italic>T<sub>100</sub>
</italic> (&#x2212;ln <italic>T<sub>100</sub>
</italic>) is proportional to <italic>k</italic>/<italic>aD<sup>&#x3b3;</sup>
</italic>. <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref> shows the relationship between &#x2212;ln <italic>T<sub>100</sub>
</italic> and <italic>mPD<sub>V</sub>
</italic>. The exponent of the non-linear regression is &#x2212;1.74 (95% confidence interval: &#x2212;2.57 to &#x2212;0.89) and &#x2212;1.98 (95% confidence interval: &#x2212;3.43 to &#x2212;0.53) for the entire dataset and in cases in which the sediment trap at Z<sub>eu</sub> was deployed below MLD, respectively. The exponent of the non-linear regression is consistent with <italic>&#x3b3;&lt;</italic> 2, suggesting that <italic>T<sub>100</sub>
</italic> is controlled primarily by <italic>w</italic> in the study area.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Relationship between &#x2212;ln <italic>T<sub>100</sub>
</italic> and the mean particle diameter of the volumetric particle size distribution (mPD<sub>V</sub>). Black line indicates non-linear regression following the power-law model (Eq. 5) using the ordinary least squares method for each sampling period. Gray lines indicate the 95% confidence interval.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-875362-g007.tif"/>
</fig>
<p><xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6C</bold>
</xref> and <xref ref-type="fig" rid="f7">
<bold>7</bold>
</xref> show that <italic>T<sub>100</sub>
</italic> tended to be greater in the subtropical gyre than in the slope area based on its relationship with mPD<sub>V</sub>. Among particle properties (POC/PON, Chl <italic>a</italic>/TPV, POC/TPV, and PON/TPV) within the euphotic layer, only Chl <italic>a</italic>/TPV showed a significant difference between the two areas (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). <xref ref-type="bibr" rid="B58">Yamada et&#xa0;al. (2021)</xref> reported that the ratio of TEP concentration, which has a porous gel like structure, to Chl <italic>a</italic> concentration was elevated in oligotrophic areas along the Kuroshio Current. Low Chl <italic>a</italic>/TPV in the subtropical gyre may indicate a smaller contribution of phytoplankton to TPV and lower food quality relative to the slope. In addition, the species composition of planktonic copepods differs between the slope and the subtropical gyre along 138&#xb0;E with large taxa abundant on the slope (<xref ref-type="bibr" rid="B26">Hirai et&#xa0;al., 2015</xref> and <xref ref-type="bibr" rid="B27">Hirai et&#xa0;al., 2021</xref>). Large copepod species (Calanidae and Eucalanidae) were abundant in the copepod community of the slope water and may actively consume sinking particles in the area. These differences in both particle properties and species composition of copepods may affect the dynamics of <italic>T<sub>100</sub>
</italic>.</p>
<p>Another factor that may affect attenuation of sinking POC flux is water temperature. <xref ref-type="bibr" rid="B40">Marsay et&#xa0;al. (2015)</xref> showed that the geographical pattern of flux attenuation is correlated with water temperature, suggesting that the temperature dependence of the biological consumption rate of sinking POC controls flux attenuation. In this study, no significant correlation was found between <italic>T<sub>100</sub>
</italic> and mean temperature between Z<sub>eu</sub> and 100&#xa0;m below Z<sub>eu</sub>, which varied from 14.2&#xb0;C to 22.5&#xb0;C (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). The <italic>Q<sub>10</sub>
</italic> coefficient enables quantification of the temperature sensitivity of bacterial decomposition and zooplankton grazing (<xref ref-type="bibr" rid="B17">Ducklow et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B29">Ikeda, 2014</xref>). The rate of decomposition, <italic>k</italic>, at water temperature <italic>T</italic> can be expressed using <italic>Q<sub>10</sub>
</italic>:</p>
<disp-formula>
<label>(6),</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</disp-formula>
<table-wrap id="T6">
<label>Table 6</label>
<caption>
<p>The fluxes of particulate organic carbon (POC) and water temperature for each depth,&#xa0;<italic>T<sub>100</sub>
</italic>&#xa0;and mean water temperature.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" colspan="5" align="center">Trap deployed at Z<sub>eu</sub></th>
<th valign="top" colspan="5" align="center">Trap deployed at Z<sub>eu</sub>+100 m</th>
<th valign="top" align="center"><italic>T<sub>100</sub></italic>&#xa0;(CF2/CF1)</th>
<th valign="top" align="center">Mean Temp. ((T1+T2)/2:&#xb0;C)</th>
</tr>
<tr>
<th valign="top" align="left">Area</th>
<th valign="top" align="center">Deployment(mm/dd/yyyy)</th>
<th valign="top" align="center">Depth (m)</th>
<th valign="top" align="center">Temp.<break/>(T1:&#xa0;&#xb0;C)</th>
<th valign="top" align="center">POC flux(CF1:mgm<sup>-2</sup>d<sup>-1</sup>)<sup>a</sup>
</th>
<th valign="top" align="center">POC/PON(molar ratio)</th>
<th valign="top" align="center">n</th>
<th valign="top" align="center">Depth (m)</th>
<th valign="top" align="center">Temp.(T2:&#xa0;&#xb0;C)</th>
<th valign="top" align="center">POC flux(CF2:mgm<sup>-2</sup>d<sup>-1</sup>)<sup>a</sup>
</th>
<th valign="top" align="center">POC/PON(molar ratio)</th>
<th valign="top" align="center">n</th>
<th/>
<th/>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Slope</td>
<td valign="top" align="center">08/27/2018</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">18.5</td>
<td valign="top" align="center">51.9 &#xb1; 5.4</td>
<td valign="top" align="center">7.60</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">160</td>
<td valign="top" align="center">12.4</td>
<td valign="top" align="center">21.4 &#xb1; 2.0</td>
<td valign="top" align="center">10.4</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">0.412</td>
<td valign="top" align="center">15.5</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">01/21/2016</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">16.0</td>
<td valign="top" align="center">109&#xb1; 16</td>
<td valign="top" align="center">6.44</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">180</td>
<td valign="top" align="center">12.9</td>
<td valign="top" align="center">58.3 &#xb1; 8.0</td>
<td valign="top" align="center">10.6</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.535</td>
<td valign="top" align="center">14.4</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/08/2017</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">15.1</td>
<td valign="top" align="center">235 &#xb1; 43</td>
<td valign="top" align="center">5.92</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">170</td>
<td valign="top" align="center">13.2</td>
<td valign="top" align="center">74.6 &#xb1; 60.4</td>
<td valign="top" align="center">6.68</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.317</td>
<td valign="top" align="center">14.2</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">01/12/2018</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">17.3</td>
<td valign="top" align="center">58.4 &#xb1; 25.8</td>
<td valign="top" align="center">4.39</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">170</td>
<td valign="top" align="center">13.9</td>
<td valign="top" align="center">37.7 &#xb1; 21.8</td>
<td valign="top" align="center">7.26</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">0.646</td>
<td valign="top" align="center">15.6</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/05/2019</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">16.6</td>
<td valign="top" align="center">90.3 &#xb1; 7.9</td>
<td valign="top" align="center">5.06</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">190</td>
<td valign="top" align="center">13.8</td>
<td valign="top" align="center">27.7 &#xb1; 0.0</td>
<td valign="top" align="center">7.13</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.307</td>
<td valign="top" align="center">15.2</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">11/17/2019</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">19.1</td>
<td valign="top" align="center">82.5 &#xb1; 45.5</td>
<td valign="top" align="center">9.50</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">180</td>
<td valign="top" align="center">12.6</td>
<td valign="top" align="center">33.3 &#xb1; 6.0</td>
<td valign="top" align="center">7.04</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.405</td>
<td valign="top" align="center">15.8</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">104 &#xb1; 67</td>
<td valign="top" align="center">6.49 &#xb1; 1.85</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">42.0 &#xb1; 20.0</td>
<td valign="top" align="center">8.19 &#xb1; 1.80</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">0.437 &#xb1; 0.130</td>
<td valign="top" align="center">15.1 &#xb1; 0.7</td>
</tr>
<tr>
<td valign="top" align="left">Subtropical gyre</td>
<td valign="top" align="center">09/01/2013</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">21.3</td>
<td valign="top" align="center">43.7 &#xb1; 0.5</td>
<td valign="top" align="center">10.0</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">190</td>
<td valign="top" align="center">18.6</td>
<td valign="top" align="center">28.3 &#xb1; 3.4</td>
<td valign="top" align="center">13.6</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.648</td>
<td valign="top" align="center">19.9</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">03/11/2017</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">18.5</td>
<td valign="top" align="center">57.0 &#xb1; 21.9</td>
<td valign="top" align="center">5.13</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">170</td>
<td valign="top" align="center">18.3</td>
<td valign="top" align="center">54.6 &#xb1; 17.2</td>
<td valign="top" align="center">5.82</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.958</td>
<td valign="top" align="center">18.4</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">04/20/2019</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">20.6</td>
<td valign="top" align="center">79.2 &#xb1; 8.5</td>
<td valign="top" align="center">5.02</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">200</td>
<td valign="top" align="center">19.4</td>
<td valign="top" align="center">25.3 &#xb1; 0.4</td>
<td valign="top" align="center">5.48</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.319</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">11/18/2019</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">24.9</td>
<td valign="top" align="center">92.0 &#xb1; 82.2</td>
<td valign="top" align="center">15.3</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">190</td>
<td valign="top" align="center">20.1</td>
<td valign="top" align="center">8.30 &#xb1; 0.50</td>
<td valign="top" align="center">6.87</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.090</td>
<td valign="top" align="center">22.5</td>
</tr>
<tr>
<td valign="top" align="left">
</td>
<td valign="top" align="center">Mean &#xb1; SD</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">68.0 &#xb1; 21.7</td>
<td valign="top" align="center">8.86 &#xb1; 4.88</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">29.1 &#xb1; 19.1</td>
<td valign="top" align="center">7.94 &#xb1; 3.82</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">0.504 &#xb1; 0.380</td>
<td valign="top" align="center">20.2 &#xb1; 1.7</td>
</tr>
<tr>
<td valign="top" align="left">Difference between two areas<sup>b,c</sup>
</td>
<td valign="top" align="left">
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">
</td>
<td valign="top" align="center">N. S.</td>
<td valign="top" align="center">p&lt;0.05</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>a: Values are mean &#xb1; standard deviation of range except for mean value of each area and result of Mann&#x2013;Whitney rank sum test.</p>
</fn>
<fn>
<p>b: Differences in distribution among areas were tested using the Mann&#x2013;Whitney rank sum test.</p>
</fn>
<fn>
<p>c: N.S. indicates insignificant difference (p &gt; 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>where <italic>k<sub>0</sub>
</italic> is the rate of decomposition at the reference water temperature, <italic>T<sub>0</sub>
</italic>. Typical <italic>Q<sub>10</sub>
</italic> values of respiration are 2 and 1.9 for marine bacteria and meso- and microzooplankton, respectively (<xref ref-type="bibr" rid="B17">Ducklow et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B29">Ikeda, 2014</xref>). If the <italic>Q<sub>10</sub>
</italic> temperature coefficient of <italic>k</italic> is assumed to be 2, <italic>k</italic> will increase at 1.78 times at the observed temperature increase from 14.2&#xb0;C to 22.5&#xb0;C. Thus, the observed range of &#x2212;ln <italic>T<sub>100</sub>
</italic> (0.0429&#x2013;2.401) was greater than the expected variation in <italic>k</italic> with increasing temperature.</p>
<p>The LISST instrument observes particles only within a limited size range of 5.2 to 119 &#x3bc;m, which excludes large sinking particles such as marine snow (&gt; 0.5&#xa0;mm). Furthermore, particles detected using LISST within the euphotic zone could include suspended particles that do not sink. Thus, PSD measured by LISST is not an accurate representation of that of sinking particles. <xref ref-type="bibr" rid="B13">Cael and White (2020)</xref> reported that the PSD measured using LISST for particles collected in sediment traps showed a flatter shape than the PSD for suspended particles within the euphotic zone at station ALOHA, indicating that the mean size of sinking particles is greater than that of suspended particles in the euphotic zone. However, <xref ref-type="bibr" rid="B46">Puigcorb&#xe9; et&#xa0;al. (2015)</xref> presented compiled data from the literature showing that flux attenuation tends to be greater for small particles (&lt; 53 &#x3bc;m in diameter) than for large particles (&gt; 53 &#x3bc;m in diameter) in low and mid-latitude areas where pico- and nano-phytoplankton are dominant. Along the Kuroshio Current, pico- and nano-phytoplankton account for a greater proportion than that of diatoms near the axis and on the offshore side of the axis (<xref ref-type="bibr" rid="B18">Endo and Suzuki, 2019</xref>). Furthermore, the particle dynamics of the observed size range may propagate to larger particles through aggregation and disaggregation processes (<xref ref-type="bibr" rid="B35">Li et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B12">Burd and Jackson, 2009</xref>). The relatively rapid attenuation of sinking POC in small particles (&lt; 53 &#x3bc;m diameter) and dynamic changes in particle size may tighten the coupling of PSD measured using LISST with the variability in <italic>T<sub>100</sub>
</italic>.</p>
<p>However, the mechanism that controls PSD in the slope and subtropical gyre region along the Kuroshio Current remains unclear. No significant correlations were found between either mPD<sub>V</sub> or <italic>&#x3be;</italic> and the tested variables (<xref ref-type="supplementary-material" rid="SM1">
<bold>Tables S5</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S6</bold>
</xref>). <xref ref-type="bibr" rid="B11">Buonassissi and Dierssen (2010)</xref> reported that <italic>&#x3be;</italic> determined using LISST varied from &#x2212;4.1 to &#x2212;2.9, exhibiting a gradual decrease from the shelf, across the Gulf Stream, and into the Sargasso Sea, and had a positive correlation with the Chl <italic>a</italic> concentration. <xref ref-type="bibr" rid="B58">Yamada et&#xa0;al. (2021)</xref> reported a similar range of <italic>&#x3be;</italic> obtained using LISST (&#x2212;4.2 to &#x2212;3.2) along the Kuroshio Current but found a negative correlation between <italic>&#x3be;</italic> and the Chl <italic>a</italic> concentration. Those authors also found that the PSD became flatter in the oligotrophic area, with a positive correlation between <italic>&#x3be;</italic> and the TEP concentration (i.e., at higher TEP concentrations, larger particles make a greater contribution). In this study, <italic>&#x3be;</italic> showed temporal variability with similar ranges on the onshore and offshore sides of the current along a N+N concentration gradient, although the correlations between Chl <italic>a</italic>/POC and Chl <italic>a</italic> concentration and between POC/TPV and TPV (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S6</bold>
</xref>) suggest that the contribution of phytoplankton to particle volume is lower in the oligotrophic environment. Further research is needed to elucidate PSD dynamics, particle properties (density, stickiness, carbon content and biological availability), and the mechanisms regulating the sinking flux of materials into the deep ocean.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusion">
<title>Conclusion</title>
<p>Sediment trap experiments conducted in slope and subtropical gyre areas along the Kuroshio Current, revealed a high variability in the attenuation of sinking POC (<italic>T<sub>100</sub>
</italic>). The variation in <italic>T<sub>100</sub>
</italic> correlated negatively with the magnitude of the sinking flux of POC and positively with mPD<sub>V</sub> and the slope of PSD (<italic>&#x3be;</italic>), whereas no significant correlation was found between <italic>T<sub>100</sub>
</italic> and water temperature. The power-law relationship between <italic>T<sub>100</sub>
</italic> and mPD<sub>V</sub> suggests that <italic>T<sub>100</sub>
</italic> in the vicinity of the Kuroshio Current is regulated by the sinking velocity of particles, although the mechanism controlling mPD<sub>V</sub> remains unclear. To predict the change in transfer efficiency of the sinking flux of POC in response to future anthropogenic warming, further exploration of PSD dynamics as well as the physicochemical and biological properties of particles is needed.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>HF, KH, and HS contributed to the conception and design of the study. HF, KH, TS, AK, DA, and HS collected the seawater samples and measured the parameters. HF wrote the first draft of the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This research was supported by SKED and funded by MEXT (Grant Number JPMXD0511102330) and JSPS KAKENHI (Grant Numbers JP19H05667, JP21H03586).</p>
</sec>
<sec id="s9" sec-type="acknowledgment">
<title>Acknowledgments</title>
<p>We would like to thank the captains and crews of the FRV <italic>Soyo-Maru</italic> (Fisheries Research Agency) for their support with the sampling. The observations in the program have been conducted under Marine Fisheries Stock Assessment and Evaluation for Japanese Waters, the Fisheries Agency of Japan. We would like to thank the reviewers for their constructive comments and the editor for review of the manuscript.</p>
</sec>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2022.875362/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2022.875362/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
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