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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.2022.884768</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>Weakening of the Kuroshio Upstream by Cyclonic Cold Eddies Enhanced by the Consecutive Passages of Typhoons Danas, Wipha, and Francisco (2013)</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Jeon</surname>
<given-names>Chanhyung</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1097380"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Watts</surname>
<given-names>D. Randolph</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Min</surname>
<given-names>Hong Sik</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1698398"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kim</surname>
<given-names>Dong Guk</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kang</surname>
<given-names>Sok Kuh</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Moon</surname>
<given-names>Il-Ju</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Park</surname>
<given-names>Jae-Hun</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1253553"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Oceanography, Pusan National University</institution>, <addr-line>Busan</addr-line>, <country>South Korea</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Graduate School of Oceanography, University of Rhode Island</institution>, <addr-line>Narragansett, RI</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Korea Institute of Ocean Science and Technology</institution>, <addr-line>Busan</addr-line>, <country>South Korea</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Typhoon Research Center, Jeju National University</institution>, <addr-line>Jeju</addr-line>, <country>South Korea</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Ocean Sciences, Inha University</institution>, <addr-line>Incheon</addr-line>, <country>South Korea</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Zhiyu Liu, Xiamen University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Xiaohui Ma, Ocean University of China, China; Akira Nagano, Japan Agency for Marine-Earth Science and Technology (JAMSTEC), Japan</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Jae-Hun Park, <email xlink:href="mailto:jaehunpark@inha.ac.kr">jaehunpark@inha.ac.kr</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Physical Oceanography, a section of the journal Frontiers in Marine Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>884768</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Jeon, Watts, Min, Kim, Kang, Moon and Park</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Jeon, Watts, Min, Kim, Kang, Moon and Park</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>An array of five pressure-recording inverted echo sounder (PIES) moorings spanning a distance of 420&#xa0;km around the subtropical countercurrent and North Equatorial Current regions of the western Pacific detected extraordinary sea level drops from November to December 2013. In October 2013, three typhoons, namely, Danas, Wipha, and Francisco, consecutively passed east of the PIES sites, which significantly strengthened pre-existing cyclonic cold eddies to create the observed sea level drops. The typhoon-strengthened cold eddies propagated westward over approximately 1000&#xa0;km for approximately 4 months and eventually met the Kuroshio offshore Taiwan. The approaching eddies interacted with the Kuroshio upstream for ~3 months and reduced the Kuroshio intensity by up to 24% in February&#x2013;May 2014, the lowest record for the last 26 years of satellite measurements. Our results can provide a new mechanism linking typhoon-to-eddy-to-Kuroshio variability through oceanic processes.</p>
</abstract>
<kwd-group>
<kwd>typhoon</kwd>
<kwd>oceanic cold eddies</kwd>
<kwd>Kuroshio</kwd>
<kwd>typhoon-to-eddy-to-Kuroshio link</kwd>
<kwd>Kuroshio weakening</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="0"/>
<equation-count count="2"/>
<ref-count count="58"/>
<page-count count="10"/>
<word-count count="3784"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Typhoon, tropical cyclone in the western Pacific, that passes over the ocean often leave notable traces along their track. A well-known sign is a cold wake (sea surface cooling) (<xref ref-type="bibr" rid="B9">D&#x2019;Asaro et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B7">Dare &amp; McBride, 2011</xref>; <xref ref-type="bibr" rid="B57">Zhang et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B43">Potter, 2018</xref>; <xref ref-type="bibr" rid="B53">Wu and Li, 2018</xref>; <xref ref-type="bibr" rid="B56">Yue et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B41">Park et&#xa0;al., 2019</xref>), which is frequently observed in chlorophyll blooms (<xref ref-type="bibr" rid="B28">Lin et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B30">Lin and Oey, 2016</xref>; <xref ref-type="bibr" rid="B4">Chacko, 2017</xref>; <xref ref-type="bibr" rid="B38">Pan et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B27">Lee et&#xa0;al., 2020</xref>). The typhoon-induced cold wake can be created by energetic vertical mixing or upwelling forced by cyclonic winds driving a divergence of surface water (<xref ref-type="bibr" rid="B8">D&#x2019;Asaro et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B33">Liu et&#xa0;al., 2017</xref>). Such traces in the sea surface are restored within a week or so, while those in the sub-surface layer can persist for longer than weeks, even months (<xref ref-type="bibr" rid="B39">Park et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B36">Mei et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B31">Lin et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B22">Jeon et al., 2019</xref>; <xref ref-type="bibr" rid="B34">Lu et&#xa0;al., 2020</xref>).</p>
<p>The northwestern Pacific is eddy-abundant and high typhoon-activity region. When typhoons encounter warm or cold eddies, the oceanic response is significantly different; the warm (cold) eddy can usually suppress (enhance) sea surface cooling because of the thicker (thinner) upper-ocean mixed layer and more (less) warm water (<xref ref-type="bibr" rid="B29">Lin et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B33">Liu et&#xa0;al., 2017</xref>). In addition, typhoon-induced upwelling governed by typhoon translation speed influences cooling over the water column (<xref ref-type="bibr" rid="B31">Lin et&#xa0;al., 2017</xref>), and the trace in the subsurface layer can propagate across the basin (<xref ref-type="bibr" rid="B20">Jan et&#xa0;al., 2017</xref>).</p>
<p>The mesoscale eddies in the northwestern Pacific propagate westward overall and can encounter the Kuroshio, a western boundary current in the north Pacific. The eddies collided with the Kuroshio can significantly modulate the Kuroshio intensity (<xref ref-type="bibr" rid="B51">Tsai et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B55">Yan et&#xa0;al., 2016</xref>). The changes in the Kuroshio intensity can influence the Kuroshio intrusion into the East China Sea (ECS) through northeast Taiwan and along the ECS slope; for example, impinging cold eddies east of Taiwan increase the intrusion into the ECS (e.g., <xref ref-type="bibr" rid="B54">Wu et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B1">Ando et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B32">Liu et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B49">Shi and Wang, 2021</xref>). The intrusion into the ECS can have impacts on chlorophyll distribution and primary production in the ECS, as it occurred during the spring of 1993 in the northeast of Taiwan (<xref ref-type="bibr" rid="B16">Gong et&#xa0;al., 1996</xref>). Moreover, the intrusion causes subsurface-layer warming which have potential in ecosystem variability of the ECS (<xref ref-type="bibr" rid="B23">Kang and Na, 2022</xref>).</p>
<p>
<xref ref-type="bibr" rid="B58">Zhang et&#xa0;al. (2020)</xref> reported the strengthening of the Kuroshio by intensifying Pacific-typhoon activities through enhanced positive potential vorticity anomalies by typhoon-induced changes in eddy fields. Nonetheless, the direct evidence demonstrating connectivity between Pacific-typhoons and the Kuroshio intensity is yet unclear, because it is generally difficult to track typhoon-traces directly existed in the subsurface layer due to the limited <italic>in situ</italic> observations and nonlinear eddy-evolving processes during their westward propagation revealed by the satellite altimetry (<xref ref-type="bibr" rid="B6">Chelton et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B12">Faghmous et&#xa0;al., 2015</xref>).</p>
<p>In this study, we show the connectivity between the typhoons and the Kuroshio intensity with a special focus on typhoons in October 2013 and an anomalously weak event of the Kuroshio intensity in February&#x2013;May 2014. We present evidence showing the reinforcement of cyclonic cold eddies by consecutive three typhoons from <italic>in situ</italic> observations and satellite measurements including estimations of the ocean heat content (OHC) changes and sensible and latent heat fluxes at the sea surface. Then, we show that the enhanced cold eddies, the oceanic memory of typhoons, weakened the Kuroshio upstream (east of Taiwan) for approximately 3 months after the passage of typhoons over the northwestern Pacific.</p>
</sec>
<sec id="s2">
<title>Data and Methods</title>
<p>An array of five pressure-recording inverted echo sounders (PIES) was deployed from June 2012 and 2013 to May 2014 in the eddy-abundant subtropical countercurrent and the North Equatorial Current regions of the western Pacific (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Four sites (F03, F05, F08, and F12) spanned from June 2012 through May 2014, and site PS1 spanned the last year from June 2013 through May 2014. The PIES records the bottom pressure (<italic>P</italic>
<sub>bot</sub>) and round-trip acoustic travel time from the seafloor to the sea surface (<italic>&#x3c4;</italic>). The accuracy of <italic>&#x3c4;</italic> is 0.05 ms, and that of Paroscientific quartz <italic>P</italic>
<sub>bot</sub> sensor is &#xb1;0.01% with a resolution of 0.1 mbar (<xref ref-type="bibr" rid="B24">Kennelly et&#xa0;al., 2007</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Typhoon tracks (gray solid line) and intensity with Saffir&#x2013;Simpson scale (color dots every 6&#xa0;h). Background color indicates the sea-surface height (SSH) difference between before (October 5th, 2013) and after (October 31st, 2013) three typhoons (Danas, Wipha, and Francisco). Black solid line extending northeast of Taiwan indicates the mean Kuroshio path, and green indicates perpendicular lines to the Kuroshio path every 10&#xa0;km. Red line is the Kuroshio upstream used for Kuroshio intensity estimation shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>. Pressure-recording inverted echo sounder (PIES) mooring sites are marked with cyan triangles. Red trapezoid is the calculation region of the ocean heat content (OHC) change. PS, ECS, and ES indicate the Philippine, East China, and East Seas, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-884768-g001.tif"/>
</fig>
<p>Historical hydrocasts from EN4.2.1 were used to establish a linear relationship between the geopotential height anomaly (GPHA) and the OHC anomaly with a deep reference level of 1,500 dbar (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). In total, 30,175 profiles were used in regions of 10&#x2013;26&#xb0;N and 130&#x2013;150&#xb0;E. Using this relationship, the SSH anomaly was converted to an OHC anomaly.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Scatterplots for geopotential height anomaly (GPHA) and ocean heat content anomaly (OHCA) calculated with historical hydrocasts (EN4 version 4.2.1, <xref ref-type="bibr" rid="B17">Good et&#xa0;al., 2013</xref>). The red line is a linear regression with the slope of 1.785&#xd7;10<sup>12</sup> and the value in parenthesis is the 95% confidence interval. The relationship was used to convert GPHA to OHCA.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-884768-g002.tif"/>
</fig>
<p>As in previous studies (e.g., <xref ref-type="bibr" rid="B40">Park et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B10">Donohue et&#xa0;al., 2016</xref>), <italic>&#x3c4;</italic> and <italic>P</italic>
<sub>bot</sub> were converted to steric and mass-loading sea-surface heights (SSH) using historical hydrocasts from EN4.2.1 (<xref ref-type="bibr" rid="B17">Good et&#xa0;al., 2013</xref>); the total SSH, calculated as the sum of steric and mass-loading components, was dominated by the steric component and compared with satellite-measured SSH. More details about SSH conversion and error estimates are described in <xref ref-type="bibr" rid="B21">Jeon et&#xa0;al. (2018)</xref>.</p>
<p>The PIES-derived total SSH were in good agreement with the satellite-measured SSH (after-mentioned all-satellite product) and showed correlation coefficients in the range of 0.79&#x2013;0.88 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). Two types of delayed-time mapping of absolute dynamic topography (ADT) and sea level anomaly daily products were used: two-satellite and all-satellite products. Both types were gridded with 0.25&#xb0;&#xd7;0.25&#xb0; spatial resolution from CMEMS (<uri xlink:href="https://marine.copernicus.eu/">https://marine.copernicus.eu/</uri>, Product user manual for sea level anomaly products, March 2020). Eddy-tracking spanning from October 2013 to May 2014 and SSH comparisons were conducted using an all-satellite product, while a two-satellite product was employed for long-term Kuroshio variability from January 1993 to December 2018 (26 years).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Comparison of sea-surface height (SSH) anomalies from pressure-recording inverted echo sounder (PIES; black) and satellite altimetry (red) at <bold>(A)</bold> F03, <bold>(B)</bold> F05, <bold>(C)</bold> F08, <bold>(D)</bold> F12, and <bold>(E)</bold> PS1. Ocean heat content (OHC; J m<sup>&#x2013;2</sup>) anomalies converted from PIES-derived and satellite-measured SSH are marked on the right y-axis (see text for details). The dark shaded period is the timing at which typhoon-enhanced cold eddy passes through the PIES sites. The mooring site names and correlation coefficients with 95% confidence interval between PIES-derived and satellite-measured SSHs (Cr) are described on the left of each panel.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-884768-g003.tif"/>
</fig>
<p>The Kuroshio path was defined as the maximum SSH gradient point along the Kuroshio every 10&#xa0;km from the east of Taiwan to the southwest of Japan using a 26-year-mean ADT field (black and red lines, <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The lines perpendicular to the Kuroshio axis cover a &#xb1;100-km range from the Kuroshio core (green line, <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The Kuroshio intensity was estimated from the SSH gradient in the range of the perpendicular line (thick red line).</p>
<p>Sensible (<italic>Q<sub>s</sub>
</italic>) and latent (<italic>Q<sub>l</sub>
</italic>) heat fluxes between the atmosphere and the ocean (positive upward) were calculated in the typhoon region using the following bulk formulae:</p>
<disp-formula>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>|</mml:mo> <mml:mi>W</mml:mi> <mml:mo>|</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mtext>and</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>l</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>q</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>|</mml:mo> <mml:mi>W</mml:mi> <mml:mo>|</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>&#x3c1;<sub>a</sub>
</italic> is the air density (= 1.22 <italic>kg m</italic> <sup>-3</sup>), <italic>c<sub>p</sub>
</italic> is the specific heat of air at a constant pressure (=1,004 J kg<sup>&#x2013;1&#xb0;</sup>C <sup>-1</sup>), <italic>L<sub>vap</sub>
</italic> is the latent heat of vaporization (=2.5&#xd7;10<sup>6</sup> J kg<sup>&#x2013;1</sup>), &#x2223;<italic>W</italic>&#x2223; is the wind speed, <italic>SST</italic> is the sea surface temperature, and <italic>q<sub>s</sub>
</italic> is the saturated specific humidity at the SST (here, we assumed that <italic>q<sub>s</sub>
</italic> is at 98% saturation at the SST). <italic>T<sub>a</sub>
</italic> and <italic>q<sub>a</sub>
</italic> are the air temperature and specific humidity at 10-m height above the sea surface, respectively. The exchange coefficients of sensible and latent heat fluxes, <italic>C<sub>h</sub>
</italic> and <italic>C<sub>q</sub>
</italic>, respectively, were estimated as suggested by <xref ref-type="bibr" rid="B19">Jaimes et&#xa0;al. (2015)</xref>. For the <italic>SST</italic>, we used a Multi-sensor Improved SST, an optimally interpolated cloud&#x2010;free daily satellite product extracted from microwave and infrared SSTs at a spatial resolution of 10&#xa0;km (<xref ref-type="bibr" rid="B14">Gentemann et&#xa0;al., 2009</xref>). The <italic>T<sub>a</sub>
</italic> and <italic>q<sub>a</sub>
</italic> were obtained from the Modern&#x2010;Era Retrospective Analysis for Research and Applications, version 2 reanalysis data (time interval of 1 hr and horizontal resolutions of 0.5&#xb0; latitude &#xd7; 2/3&#xb0; longitude; <xref ref-type="bibr" rid="B13">Gelaro et&#xa0;al., 2017</xref>). We reconstructed the radial structure of the typhoon wind field using the method proposed by <xref ref-type="bibr" rid="B5">Chavas et&#xa0;al. (2015)</xref>, referring to the maximum typhoon wind at a specific 6-hr interval location and time from the Joint Typhoon Warning Center (JTWC). SST and reconstructed wind fields were interpolated to 1-hr data to coincide with specific humidity and air temperature variables.</p>
<p>Isopycnal displacement or shoaling of the thermocline (<italic>&#x3b7;</italic>) due to storm-induced upwelling (<xref ref-type="bibr" rid="B46">Price et&#xa0;al., 1994</xref>; <xref ref-type="bibr" rid="B3">Babin et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B37">Nam et&#xa0;al., 2012</xref>) was calculated as <italic>&#x3b7;</italic> = <italic>&#x3c4;</italic> / ( <italic>&#x3c1;<sub>o</sub>fU<sub>H</sub>
</italic> ), where <italic>&#x3c4;</italic> is the wind stress, <italic>&#x3c1;<sub>o</sub>
</italic> is the water density (=1022 kg m<sup>&#x2013;3</sup>), <italic>f</italic> is the Coriolis parameter (s<sup>&#x2013;1</sup>), and <italic>U<sub>H</sub>
</italic> is the typhoon translation speed. Wind stress was calculated using typhoon wind from JTWC based on the formula (<xref ref-type="bibr" rid="B15">Gill, 1982</xref>) and drag coefficients (<xref ref-type="bibr" rid="B26">Large and Pond, 1981</xref>; <xref ref-type="bibr" rid="B50">Trenberth et&#xa0;al., 1990</xref>). The <italic>&#x3b7;</italic> was computed as <italic>&#x394;SSH</italic> using the following equation (<xref ref-type="bibr" rid="B48">Shay et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B52">Walker et&#xa0;al., 2005</xref>): <italic>&#x394; S S H</italic>=&#x2212;<italic>&#x3b7; g</italic>
<sup>&#x2032;</sup>/<italic>g</italic> , where <italic>g</italic> is gravity and <italic>g</italic>
<sup>&#x2032;</sup>  is reduced gravity (=0.015 m s<sup>&#x2013;2</sup> as used in the similar area by <xref ref-type="bibr" rid="B37">Nam et&#xa0;al. (2012)</xref>).</p>
</sec>
<sec id="s3">
<title>Results and Discussions</title>
<sec id="s3_1">
<title>Typhoon-Induced SSH Decrease</title>
<p>One- or two-year-long SSH time series obtained from the PIES array (black lines in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>) and satellite altimetry (red lines in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>) revealed remarkable sea-level drops from October through early December 2013 (gray shaded in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). The SSH decrease reached approximately 0.2&#x2013;0.3 m over all PIES sites spanning a distance of 420&#xa0;km. The SSH minimum was not temporally identical among sites: two northern sites (F03 and F05) and the southeastern site (PS1) in early November 2013 and two southern sites (F08 and F12) in late November and early December. The sea level drops bounced back close to zero during December&#x2013;January.</p>
<p>The significant sea level drops were associated with pre-existing cyclonic cold eddies and three typhoon passages east of the PIES sites. In October 2013, three consecutive typhoons, Danas, Wipha, and Francisco, passed through the eddy-abundant subtropical gyre region (12&#x2013;26&#xb0;N, 132&#x2013;144&#xb0;E) from southeast to northwest (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). Before the typhoon passage, two cold eddies pre-existed around 20&#xb0;N and 134&#xb0;E and 136&#xb0;E along the Danas track (hereafter, northern cold eddies). The other low SSH area existed around 13&#xb0;N and 143&#xb0;E (hereafter, southern cold eddy), as indicated by the black arrows in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>. Typhoons Danas, Wipha, and Francisco passed among the cold eddies on October 5&#x2013;6 (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4A, B</bold>
</xref>), October 12&#x2013;14 (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4C</bold>
</xref>
<xref ref-type="fig" rid="f4">
<bold>&#x2013;E</bold>
</xref>), and October 18&#x2013;25 (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4F, G</bold>
</xref>), respectively. The northern cold eddies were reinforced by Danas, and the SSH decreased by approximately 0.05&#x2013;0.1 m. Then, Wipha and Francisco went by the cold eddies and reinforced both northern and southern cold eddies again. Additional SSH decrease reached 0.1&#x2013;0.25 m and two northern cold eddies merged into the large cold eddy (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4G</bold>
</xref>). The northern and southern cold eddies grew strongest on October 31<sup>st</sup> at approximately 14&#xb0;N and 20&#xb0;N with a total of 0.1&#x2013;0.3 m SSH decrement (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4H</bold>
</xref>). The SSH difference between October 5<sup>th</sup> (before typhoons) and October 31<sup>st</sup> (after typhoons) superimposed by three typhoon tracks (gray solid line and colored circles) shows notable sea-level drops caused by the three typhoons (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4I</bold>
</xref>). Note that the SSH difference before and after typhoons was significant, but at the two PIES sites (F03 and F05) this was not entirely owing to the typhoon passages. At those two sites a warm eddy had existed before the arrival of the typhoon-enhanced cold eddies and it subsequently propagated to the west (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>). During November the enhanced cold eddies propagated westward with time (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A, B</bold>
</xref>) passing through the PIES sites and producing the spatiotemporally different SSH minima shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4I</bold>
</xref>.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Snapshot of sea-surface height (SSH) maps in the western Pacific during typhoon passages in October 2013. <bold>(A)</bold> SSH maps on October 5<sup>th</sup>, <bold>(B)</bold> October 6<sup>th</sup>, <bold>(C)</bold> October 12<sup>th</sup>, <bold>(D)</bold> October 13<sup>th</sup>, <bold>(E)</bold> October 14<sup>th</sup>, <bold>(F)</bold> October 19<sup>th</sup>, <bold>(G)</bold> October 25<sup>th</sup>, and <bold>(H)</bold> October 31<sup>st</sup>. Typhoon tracks (gray and blue lines) and Saffir&#x2013;Simpson scale (color dots every 6&#xa0;h) at 00, 06, 12, and 18&#xa0;h GMT on each day. Pressure-recording inverted echo sounder (PIES) mooring sites are marked with cyan triangles. Black contours in (a&#x2013;g) and blue and red contours in <bold>(H)</bold> indicate SSH lows from 0.9 to 1.2&#xa0;m with 0.05&#xa0;m intervals. <bold>(I)</bold> SSH difference between October 5<sup>th</sup> and October 31<sup>st</sup> superimposed by three typhoon tracks (gray solid line) with Saffir&#x2013;Simpson scale. Red trapezoid indicates the region where ocean heat content (OHC) changes are calculated.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-884768-g004.tif"/>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>
<bold>(A&#x2013;I)</bold> Snapshot of sea-surface height (SSH) maps in the western Pacific during the westward propagation of the typhoon-enhanced cold eddies. Snapshots of SSH is every 20 days from November 6<sup>th</sup> in 2013 to April 15<sup>th</sup> in 2014. Pressure-recording inverted echo sounder (PIES) mooring sites are indicated by cyan triangles. Blue and red contours are from 0.9 to 1.2&#xa0;m with 0.05&#xa0;m intervals.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-884768-g005.tif"/>
</fig>
</sec>
<sec id="s3_2">
<title>OHCs and Air-Sea Heat Exchange During Typhoon Passages</title>
<p>The dramatic decrease in SSH along the typhoon tracks is associated with heat loss in the water column. The heat loss can be attributed to ocean interior processes such as upwelling or horizontal advection and air-sea interaction. Using the relationship between the GPHA and OHC anomalies (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>), given the westward eddy propagation, the estimated time- and area-integrated OHC variation in the cold-eddy area (red trapezoid in <xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1</bold>
</xref> and <xref ref-type="fig" rid="f4">
<bold>4I</bold>
</xref>) between October 31<sup>st</sup> and October 5<sup>th</sup> was &#x2013; 2.07 &#xd7; 10<sup>20</sup> J. In the same time and area, sensible and latent heat exchanges, which are vital for typhoon intensity (e.g., <xref ref-type="bibr" rid="B35">Malkus and Riehl, 1960</xref>; <xref ref-type="bibr" rid="B11">Emanuel, 1986</xref>), were &#x2013; 3.45 &#xd7; 10<sup>18</sup> J and 4.25 &#xd7; 10<sup>19</sup> J, respectively. The total air-sea heat exchange was 3.91 &#xd7; 10<sup>19</sup> J, 18.9% of the estimated OHC change. Sensible and latent heat exchanges even in the broader range of the 300-km radius from typhoon centers were &#x2013; 5.13 &#xd7; 10<sup>18</sup> J and 5.91 &#xd7; 10<sup>19</sup> J, respectively, which were still only 26% of the estimated OHC change. Previous studies (<xref ref-type="bibr" rid="B45">Price, 1981</xref>; <xref ref-type="bibr" rid="B18">Jacob et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B44">Prasad and Hogan, 2007</xref>) have reported that surface heat fluxes generally contribute only to 10%&#x2013;15% of sea surface cooling, suggesting that the heat balances estimated above are reasonable. Area-averaged values of calculated <italic>&#x394;SSH</italic> (and corresponding thermocline shoaling) by Danas, Wipha, and Francisco over the red trapezoid reached &#x2013;0.04, &#x2013;0.07, and &#x2013;0.15 m (24, 44, and 98&#xa0;m), respectively, comparable to the observed SSH decrements. Hence, the larger fraction of OHC change was due to the thermocline shoaling driven by Ekman divergences, caused by input of cyclonic vorticity by typhoons.</p>
</sec>
<sec id="s3_3">
<title>Impacts of Typhoon-Enhanced Cold Eddies on the Kuroshio</title>
<p>We traced the typhoon-reinforced cold eddies visually because eddy tracking methods (<xref ref-type="bibr" rid="B6">Chelton et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B12">Faghmous et&#xa0;al., 2015</xref>) missed the cold eddies due to nonlinear processes of merging, splitting, and distortion during their westward propagation near the rim of the subtropical gyre. The northern cold eddy spanning 17&#x2013;23&#xb0;N on 11/06 split into three-core eddies by 12/16 (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A&#x2013;C</bold>
</xref>, blue contours). Repeating distortion, splitting, and merging, they approached the east of the Philippines and Taiwan (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5D&#x2013;G</bold>
</xref>) and eventually met the Kuroshio east/northeast of Taiwan (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5H, I</bold>
</xref>). The southern cold eddy located at 14&#xb0;N and 135&#x2013;141&#xb0;E (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>, red contours) moved westward across the PIES sites (F08, F12, and PS1) from October through mid-December (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5B, C</bold>
</xref>). The southern cold eddy became weak and diffuse in early January 2014 (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5D&#x2013;I</bold>
</xref>), however, it might contribute to the relatively low SSH northeast of the Philippines around 14&#x2013;18&#xb0;N in late January&#x2013;March 2014 (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5E&#x2013;H</bold>
</xref>).</p>
<p>Mesoscale eddies in subtropical countercurrent region are known to develop through baroclinic instability (e.g., <xref ref-type="bibr" rid="B47">Qiu, 1999</xref>). The longitude-time Hovm&#xf6;ller diagram of sea level anomaly at 19.5&#xb0;N, where the typhoon-enhanced northern cold eddy appeared, shows such time-evolving eddy fields across the basin (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>). The exceptionally strong cold eddy is found at 136&#xb0;E on October 31<sup>st</sup>, 2013 (zonal cyan line in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>), demonstrating that the cold eddy enhancement is primarily associated with typhoon passages.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Longitude-time Hovm&#xf6;ller diagram of sea level anomaly (m) at 19.5&#xb0;N. Zonal cyan line denotes October 31<sup>st</sup> in 2013 when the notable sea-level drops occurred by the three typhoons as shown in Fig 4h.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-884768-g006.tif"/>
</fig>
<p>Eddies that met the Kuroshio east of Taiwan modulated the Kuroshio intensity from February through May 2014, 4&#x2013;7 months after typhoon passage. Anomalies in climatological SSH difference across the Kuroshio averaged over February&#x2013;May (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>) represent the temporal variation of the Kuroshio intensity over 26 years (1993&#x2013;2018). The SSH difference in 2014 (red bar) was the lowest recorded over the last 26 years (&#x2013;0.10 m) and corresponds to a 24% decrease from the mean (0.42&#xa0;m).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Anomalies in climatological SSH gradients averaged over February&#x2013;May from 1993 to 2018 in the Kuroshio upstream indicated by red line in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>. Note that the SSH gradient in the Kuroshio for 26 years is estimated with the two-satellite ADT product from CMEMS.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-884768-g007.tif"/>
</fig>
<p>A previous study using long-term satellite measurements found that the intensifying Pacific-typhoon activities strengthen the Kuroshio transport due to typhoon-induced increasing of positive potential vorticities in overall wide eddy fields (<xref ref-type="bibr" rid="B58">Zhang et&#xa0;al., 2020</xref>). Our result provides a case opposite to their outcome, which suggests that the typhoon-enhanced cold eddies can act to weaken the Kuroshio intensity when they collide with the Kuroshio several months later.</p>
</sec>
</sec>
<sec id="s4">
<title>Conclusions</title>
<p>In October 2013, three consecutive typhoons (Danas, Wipha, and Francisco) passed over the pre-existing cold eddies from southeast to northwest, in the region spanning from 12 to 26&#xb0;N and 132 to 144&#xb0;E. <italic>In situ</italic> PIES moorings and satellite altimetry measurements revealed that pre-existing cold eddies were notably reinforced by the typhoons, producing substantial sea level drops of 0.1&#x2013;0.3 m. The typhoon-enhanced cold eddies propagated westward over approximately 1,000 kilometers and met the Kuroshio upstream approximately 4 months after the typhoon passages. The cold eddies significantly reduced the Kuroshio intensity in February&#x2013;May 2014, recording the lowest intensity over the last 26 years and corresponding to a 24% decrease from the mean Kuroshio intensity.</p>
<p>Our work can provide a new mechanism linking typhoon-to-eddy-to-Kuroshio variability through the long-term oceanic memory. In a warming climate, the typhoon intensity in wind and rainfall will increase (<xref ref-type="bibr" rid="B25">Knutson et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B42">Patricola &amp; Wehner, 2018</xref>), implying that intensified typhoons may have more chances to produce oceanic memories and their impacts on the western boundary currents such as the Kuroshio. Therefore, this new mechanism is maybe likely to play a role in Kuroshio variability in the future.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data Availability Statement</title>
  <p>Typhoon track is at <uri xlink:href="https://www.metoc.navy.mil/jtwc/jtwc.html?western-pacific">https://www.metoc.navy.mil/jtwc/jtwc.html?western-pacific</uri>. Two-satellite ADT (SEALEVEL_GLO_PHY_CLIMATE_L4_REP_OBSERVATIONS_008_057) and all-satellite ADT (SEALEVEL_GLO_PHY_L4_REP_OBSERVATIONS_008_047) are available at <uri xlink:href="https://resources.marine.copernicus.eu/product-detail/SEALEVEL_GLO_PHY_CLIMATE_L4_REP_OBSERVATIONS_008_057/INFORMATION">https://resources.marine.copernicus.eu/product-detail/SEALEVEL_GLO_PHY_CLIMATE_L4_REP_OBSERVATIONS_008_057/INFORMATION</uri> and <uri xlink:href="https://resources.marine.copernicus.eu/product-detail/SEALEVEL_GLO_PHY_L4_REP_OBSERVATIONS_008_047/INFORMATION">https://resources.marine.copernicus.eu/product-detail/SEALEVEL_GLO_PHY_L4_REP_OBSERVATIONS_008_047/INFORMATION</uri>, respectively. The SST is found at <uri xlink:href="https://data.remss.com/SST/daily/mw_ir/">https://data.remss.com/SST/daily/mw_ir/</uri>. Historical hydrocasts (EN4.2.1) are at <uri xlink:href="https://www.metoffice.gov.uk/hadobs/en4/">https://www.metoffice.gov.uk/hadobs/en4/</uri>. PIES-derived SSH can be downloaded <uri xlink:href="https://github.com/PADOLab1/NEC_PIES.git">https://github.com/PADOLab1/NEC_PIES.git</uri>.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author Contributions</title>
<p>CJ: primary writing, <italic>in situ</italic> observation, data processing, and calculations. DRW, HSM, SKK, and I-JM: discussion. DGK: <italic>in&#xa0;situ</italic> observation and discussion. J-HP: overall coordination, discussion, <italic>in situ</italic> observation. All authors modify the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by &#x201c;Study on Northwestern Pacific Warming and Genesis and Rapid Intensification of Typhoon&#x201d; funded by the Korean Ministry of Oceans and Fisheries(20220566)&#x201d; and &#x201c;The study for the cooperative use of the research vessel&#x201d; funded by Korea Institute of Ocean Science and Technology&#x201d;, and also supported by Pusan National University Research Grant, 2021.</p>
</sec>
<sec id="s8" 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="s9" 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>
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