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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.2023.1113525</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>The vertical structure and variability of currents east of Philippines from mooring measurements during the 2015/2016 El Ni&#xf1;o</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Yansong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1360459"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ren</surname>
<given-names>Qiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yu</surname>
<given-names>Fei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1118301"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wei</surname>
<given-names>Chuanjie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1423383"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Diao</surname>
<given-names>Xinyuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Nan</surname>
<given-names>Feng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1808115"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Institute of Oceanology, Chinese Academy of Sciences</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Key Laboratory of Ocean Circulation and Waves, Institute of Oceanology, Chinese Academy of Sciences</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Laboratory for Ocean and Climate Dynamics, Qingdao National Laboratory for Marine Science and Technology</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>University of Chinese Academy of Sciences</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: DX Wang, Sun Yat-sen University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Chun Zhou, Ocean University of China, China; Wei Zhao, Ocean University of China, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Qiang Ren, <email xlink:href="mailto:rq1989@qdio.ac.cn">rq1989@qdio.ac.cn</email>; Fei Yu, <email xlink:href="mailto:yuf@qdio.ac.cn">yuf@qdio.ac.cn</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>17</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1113525</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>03</day>
<month>03</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Liu, Ren, Yu, Wei, Diao and Nan</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Liu, Ren, Yu, Wei, Diao and Nan</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>Surface and Subsurface currents in the Philippine Sea have been reported previously, and the debate persists regarding whether they are related to the strength of ENSO (El Ni&#xf1;o/Southern Oscillation). We investigated the mean vertical structure and variability of the currents along the western boundary of the Philippine Sea using mooring observations at about 8&#xb0;N, 127&#xb0;E from August 2014 to January 2016. The southward Mindanao Current (MC) exists in the upper 600 m countered by the northward Mindanao Undercurrent (MUC) observed below 600 m to the depth of 2,000 m, with a core at approximately 1,000 m. During the development of El Ni&#xf1;o from July to December 2015, the core velocity and depth of the MC were noticeably increased, consistent with the Ni&#xf1;o 3.4 index, and the current at 2,000 m was observed to be southward, which indicated that the MC may extend to 2,000 m under the influence of El Ni&#xf1;o. The MUC was stronger around November 2015, corresponding to the peak phase of the Ni&#xf1;o 3.4 index. The intraseasonal variability with a period of 70-110 days from the surface to 2,000 m is also discussed based on power spectral analysis. Subsurface eddies are likely the source of the intraseasonal variability of current in the Philippine Sea from the model outputs.</p>
</abstract>
<kwd-group>
<kwd>vertical structure</kwd>
<kwd>variability</kwd>
<kwd>western boundary</kwd>
<kwd>Philippine sea</kwd>
<kwd>2015/2016 El Ni&#xf1;o</kwd>
<kwd>mooring data</kwd>
</kwd-group>
<counts>
<fig-count count="11"/>
<table-count count="1"/>
<equation-count count="0"/>
<ref-count count="32"/>
<page-count count="9"/>
<word-count count="4251"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Western boundary currents (WBCs) are swift, narrow oceanic currents found in all major oceanic gyres (<xref ref-type="bibr" rid="B8">Hu et&#xa0;al., 2015</xref>). The Pacific WBCs impact global ocean circulation and variability by supplying heat and moisture into the atmosphere, exchanging water with the Indian Ocean, and transporting mass between the equatorial and subtropical Pacific (<xref ref-type="bibr" rid="B18">Nakamura et&#xa0;al., 2004</xref>). In the Northern Hemisphere, the low-latitude WBC in the Pacific is characterized as the Mindanao Current (MC). Since the southward flow of the MC was indicated (<xref ref-type="bibr" rid="B6">Hu and Cui, 1989</xref>), various measurements, including satellite altimeters, hydrographic observations, and Argo floats, were used to analyze the structure and multiscale variability of the MC (<xref ref-type="bibr" rid="B17">Nakamura and Kazmin, 2003</xref>). Many previous studies have found that the MC is a stable, 200-km-wide coastal jet with a maximum speed of 1&#xa0;m s<sup>-1</sup> (<xref ref-type="bibr" rid="B14">Lukas et&#xa0;al., 1991</xref>; <xref ref-type="bibr" rid="B29">Wijffels et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B26">Wang et al., 2015</xref>). The Mindanao Undercurrent (MUC) is of particular interest because there have been few observations regarding its behavior at depth, and there is continuing debate regarding the nature of the MUC as being transient or a permanent current (<xref ref-type="bibr" rid="B6">Hu and Cui, 1989</xref>, <xref ref-type="bibr" rid="B5">Guan, 1990</xref>; <xref ref-type="bibr" rid="B14">Lukas et&#xa0;al., 1991</xref>; <xref ref-type="bibr" rid="B29">Wijffels et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B20">Qu et&#xa0;al., 2012</xref>).</p>
<p>The temporal variability of the MC/MUC was observed to consist of intraseasonal, seasonal, and interannual signals. For example, on the basis of 2-yr mooring measurements from 2010 to 2012 and from November 2017 to December 2019 using a subsurface mooring at about 8&#xb0;N 127&#xb0;E, intraseasonal variability with a period of 60-80 days was suggested through the entire water column, including the MC and MUC (<xref ref-type="bibr" rid="B30">Zhang et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B1">Azminuddin et&#xa0;al., 2022</xref>). Seasonal and interannual variability in the MC was investigated using mooring data at the same location with 4-yr observations (<xref ref-type="bibr" rid="B7">Hu et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B25">Wang et&#xa0;al., 2016</xref>). Combined with the high-resolution numerical model, the intraseasonal variability of the subthermocline current east of Mindanao was also characterized and determined to be caused by subthermocline eddies (<xref ref-type="bibr" rid="B27">Wang et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B1">Azminuddin et&#xa0;al., 2022</xref>).</p>
<p>The 2015-2016 El Ni&#xf1;o was one of the strongest events of the tropical Pacific Ocean in the observed history, with the similar strength to the 1982-1983 and 1997-1998 events. The Pacific low latitude western boundary currents are believed to play a key role in the heat budget of the warm pool that is an important factor in the El Ni&#xf1;o/Southern Oscillation (ENSO) (<xref ref-type="bibr" rid="B15">Lukas et&#xa0;al., 1996</xref>). However, debate persists regarding whether the MC/MUC is related to the strength of ENSO. <xref ref-type="bibr" rid="B13">Lukas (1988)</xref> found that fluctuations in MC have no apparent relationship with the strength of ENSO by analyzing sea level records. <xref ref-type="bibr" rid="B19">Qiu and Lukas (1996)</xref> and <xref ref-type="bibr" rid="B30">Zhang et&#xa0;al. (2014)</xref> also suggested that the interannual variation in the MC does not always correspond to ENSO. However, based on mooring observations, <xref ref-type="bibr" rid="B11">Kashino et&#xa0;al. (2005)</xref> suggested that the MC core velocity was high during the onset of the 2002/03 El Ni&#xf1;o. A stronger MC was also measured during the 2006/07 El Ni&#xf1;o using onboard observation measurements (<xref ref-type="bibr" rid="B10">Kashino et&#xa0;al., 2009</xref>). Meanwhile, results from a high-resolution ocean general circulation model (OGCM) showed that MC transport increased during El Ni&#xf1;o (<xref ref-type="bibr" rid="B12">Kim et&#xa0;al., 2004</xref>). Moreover, the MUC was particularly strong in December 2006 (<xref ref-type="bibr" rid="B10">Kashino et&#xa0;al., 2009</xref>). It is therefore possible that the MUC is also affected by the ENSO phenomenon. <xref ref-type="bibr" rid="B23">Schonau and Rudnick (2017)</xref> reported that the transport in the subthermocline is strongly poleward during La Ni&#xf1;a and equatorward during El Ni&#xf1;o according to glider observations. <xref ref-type="bibr" rid="B9">Hui et&#xa0;al. (2022)</xref> also reported the interannual variation of EKE below the thermocline east of the Philippine coast which is closely related to the modulation of the ENSO events.</p>
<p>In this study, we analyzed direct mooring observations at 8&#xb0;N, 127&#xb0;E along the western boundary of the Philippine Sea from August 2014 to January 2016. The vertical structure and variability of the low-latitude western boundary current east of Philippines during the 2015/2016 El Ni&#xf1;o were investigated as well.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Data and methods</title>
<p>In August 2014, a mooring was deployed at 8&#xb0;N, 127&#xb0;E (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>) during the cruise in the West Pacific conducted by the Institute of Oceanology, Chinese Academy of Science (IOCAS), which was recovered successfully by R/V Science in January 2016. To acquire the full-depth current velocity, self-contained instruments, including acoustic Doppler current profilers (ADCPs), and single point current meters (Aqds-6000), were mounted on the mooring (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>). Two 75-KHz ADCPs were equipped on the main float at a depth of 400&#xa0;m, looking upward and downward respectively. The ADCPs were configured to measure velocities every hour in 60 bins with a bin size of 8&#xa0;m. The observation period was from 30 August 2014 to 13 January 2016. Below 1000&#xa0;m, three Aqds-6000 current meters produced by Nortek were moored at 1,000 m, 2,000 m, and 5,900 m, respectively. The measurement interval of Aqds-6000 current meters were also set to hourly. In this study, the data measured by ADCPs and Aqds-6000 at 1,000 m and 2,000 m were used to investigate variability in the flows of the MC and MUC.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>
<bold>(A)</bold> Bottom topography and surface (red arrows) and subsurface (blue arrows) currents around Philippines. NEC, North Equatorial Current; NEUC, North Equatorial Current; MC, Mindanao Current; MUC, Mindanao Undercurrent; NECC, North Equatorial Counter Current; KC, Kuroshio Current; LUC, Luzon Undercurrent. The red triangle denotes the mooring at 8&#xb0;N, 127&#xb0;E. <bold>(B)</bold> Vertical structure of the mooring system.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g001.tif"/>
</fig>
<p>Data quality was strictly controlled after being downloaded from all equipment. Current speeds larger than 2&#xa0;m s<sup>-1</sup> are cut off, and the percentage of good beams (PG) less than 60% was not considered. The pitch and roll of the current instrument of less than 20&#xb0; is adopted. Due to the impact of surface refection of sound beams, the data at the upper 50&#xa0;m were cut off. The resolution for the current measurement of the ADCPs and Aqd-6000 current meters is less than 1&#xa0;mm s<sup>-1</sup>, while the accuracy of measurement is less than 1% of the measured value &#xb1;5 mm s<sup>-1</sup>. To remove the tidal signal, daily averaged data were used in the following analysis. Values of the Ni&#xf1;o 3.4 index were provided by the Climate Prediction Center of the National Oceanic and Atmospheric Administration (NOAA) during the mooring period (<ext-link ext-link-type="uri" xlink:href="http://origin.cpc.ncep.noaa.gov/products/analysis_monitoring/ensostuff/ONI_v5.php">http://origin.cpc.ncep.noaa.gov/products/analysis_monitoring/ensostuff/ONI_v5.php</ext-link>). Therefore, mooring observations were conducted under the 2015/2016 El Ni&#xf1;o conditions and are suitable for comparing differences in the ocean state between this condition and normal conditions.</p>
<p>The OFES (Oceanic General Circulation Model for the Earth Simulator) model is based on the third version of the Modular Ocean Model (MOM 3.0) and has a horizontal resolution of 0.1&#xb0; and 54 vertical levels. The 3-day model outputs from 2014 to 2016 are used in this study. Detailed descriptions about this model can be found in <xref ref-type="bibr" rid="B16">Masumoto et&#xa0;al. (2004)</xref> and <xref ref-type="bibr" rid="B22">Sasaki et&#xa0;al. (2008)</xref>. OFES outputs have been widely applied to the investigation of the general circulation in the western Pacific and these studies indicate that the model outputs are generally consistent with observations (e.g., <xref ref-type="bibr" rid="B27">Wang et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B24">Song et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B31">Zhang et&#xa0;al., 2021</xref>). Therefore, OFES is believed as a suitable model products to explore the ocean currents in the western Pacific.</p>
<p>The daily gridded and merged sea level anomaly (SLA) with a horizontal resolution of 0.25&#xb0;&#xd7;0.25&#xb0; for the period from 2014 to 2016 is also used in this study. The data set is distributed by Copernicus Marine Environment Monitoring Service (CMEMS). The SLA is estimated by Optimal Interpolation, merging the L3 along-track measurement from the different altimeter missions available.</p>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Vertical structure</title>
<p>
<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> shows the horizontal currents and statistical values measured by ADCPs. From the time series of meridional velocity recorded by ADCPs (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>), the southward MC plays a dominant role in the upper 600&#xa0;m and extends over 1,000 m at particular times. The data were first interpolated vertically onto 50-900&#xa0;m of 5&#xa0;m vertical resolution and then derived the annual mean values from 1 January 2015 to 31 December 2015. According to the lines of the mean value and standard deviation (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>), the annual mean value of meridional velocity reaches up to -102.77&#xa0;cm s<sup>-1</sup> at the depth of 85&#xa0;m. The zonal velocity is weak compared with the meridional velocity. Therefore, the meridional velocity is used to approximate the intensity of MC and MUC. The observations reported by <xref ref-type="bibr" rid="B30">Zhang et&#xa0;al. (2014)</xref> and <xref ref-type="bibr" rid="B7">Hu et&#xa0;al. (2016)</xref> were made at the same location during the period from December 2010 to August 2014. The maximum mean MC velocity from August 2014 to January 2016 was stronger than that reported by <xref ref-type="bibr" rid="B30">Zhang et&#xa0;al. (2014)</xref> (-73&#xa0;cm s<sup>-1</sup>) and <xref ref-type="bibr" rid="B7">Hu et&#xa0;al. (2016)</xref> (-78&#xa0;cm s<sup>-1</sup>) but weaker than that at 6&#xb0;50&#x2019;N, 126&#xb0;43&#x2019;E reported by <xref ref-type="bibr" rid="B11">Kashino et&#xa0;al. (2005)</xref> (-138&#xa0;cm s<sup>-1</sup>). This difference may be attributed to interannual variation. The standard deviation at 85&#xa0;m was approximately 15&#xa0;cm s<sup>-1</sup>, which is much smaller than the mean value, indicating that the MC is an exceptionally stable current. This is consistent with previous studies. Below 600&#xa0;m, the mean current flows to the north are part of the MUC, which had a maximum mean velocity of 4.84&#xa0;cm s<sup>-1</sup> at the around depth of 865&#xa0;m with a standard deviation of 10.9&#xa0;cm s<sup>-1</sup>.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Time series of daily averaged velocity (cm s<sup>-1</sup>) measured by ADCPs at 8&#xb0;N, 127&#xb0;E from September 2014 to January 2016, with annual mean velocity (red line), standard deviation (black line) in meridional <bold>(A, B)</bold> and zonal <bold>(C, D)</bold> currents (cm s<sup>-1</sup>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g002.tif"/>
</fig>
<p>To compare the velocity between the upper layer and 1,000 m, the velocity recorded by ADCPs at 800&#xa0;m depth after interpolation is illustrated in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>. The horizontal currents recorded by Aqds-6000 current meters below 1000&#xa0;m are shown in <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3B, C</bold>
</xref>. As described above, the currents at 800-m and 1,000-m depths are regarded as part of the MUC. In particular, increased mean values of meridional velocities with depth are observed, from 5.71&#xa0;cm s<sup>-1</sup> at 800&#xa0;m to 11.58&#xa0;cm s<sup>-1</sup> at 1,000 m (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). This means that the northward-flowing MUC has a core at depth around 1,000 m or between 1000-2000&#xa0;m from August 2014 to January 2016. For the 2,000-m depth, the mean zonal and meridional velocities are -2.09 and 1.49&#xa0;cm s<sup>-1</sup>, with standard deviations of 4.21 and 7.08&#xa0;cm s<sup>-1</sup>, respectively. Note that the maximum daily velocity magnitudes at the depth of 2,000 m exceed 12&#xa0;cm s<sup>-1</sup> and 20&#xa0;cm s<sup>-1</sup> for the zonal and meridional velocities, respectively, which are much stronger than the mean current. It should be noted that from mid-July to October 2015, the current at 2,000 m had a velocity around 10&#xa0;cm s<sup>-1</sup>, consistent with the current above 1,000 m, which indicates that the MC extended to 2,000 m during the onset period of the 2015/2016 El Ni&#xf1;o event. Actually, the depth of the current meters varies as the pressure sensors show in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref> (green lines). The lines and vectors at depths of 800&#xa0;m, 1,000 m, and 2,000 m show the velocity at deeper depths. For example, the pressure increased approximately 900&#xa0;m, 800&#xa0;m, and 600&#xa0;m in October 2015, and the lines and vector at that time actually illustrated the velocity at depths of 1,700 m, 1,800 m and 2,600 m. This means that the depth of the MC can reach depths deeper than 2,000 m. The phenomena extend our understanding of the variation in the MC during El Ni&#xf1;o events.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Time series of daily averaged zonal (black line) and meridional (blue line) velocity and flow vector (red line) at 127&#xb0;E/8&#xb0;E by <bold>(A)</bold> ADCPs at 800&#xa0;m, and Aqds-6000 current meters at <bold>(B)</bold> 1000&#xa0;m, and <bold>(C)</bold> 2000&#xa0;m from August 2014 to January 2016 (units are cm s-1).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Velocity statistics from mooring data at different layers in terms of mean values and standard deviation.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Latitude</th>
<th valign="middle" align="center">Longitude</th>
<th valign="middle" align="center">Depth<break/>(m)</th>
<th valign="middle" align="center">
<inline-formula>
<mml:math display="inline" id="im1">
<mml:mover accent="true">
<mml:mi>u</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:math>
</inline-formula>(cm/s)</th>
<th valign="middle" align="center">
<inline-formula>
<mml:math display="inline" id="im2">
<mml:mover accent="true">
<mml:mi>v</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:math>
</inline-formula>(cm/s)</th>
<th valign="middle" align="center">
<inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>u</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>(cm/s)</th>
<th valign="middle" align="center">
<inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>v</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>(cm/s)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="3" align="center">8&#xb0;N</td>
<td valign="middle" rowspan="3" align="center">127&#xb0;E</td>
<td valign="middle" align="center">800</td>
<td valign="middle" align="center">-1.1</td>
<td valign="middle" align="center">5.71</td>
<td valign="middle" align="center">5.82</td>
<td valign="middle" align="center">10.33</td>
</tr>
<tr>
<td valign="middle" align="center">1,000</td>
<td valign="middle" align="center">-1.62</td>
<td valign="middle" align="center">11.58</td>
<td valign="middle" align="center">6.39</td>
<td valign="middle" align="center">14.2</td>
</tr>
<tr>
<td valign="middle" align="center">2,000</td>
<td valign="middle" align="center">-2.09</td>
<td valign="middle" align="center">1.49</td>
<td valign="middle" align="center">4.21</td>
<td valign="middle" align="center">7.08</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to the Ni&#xf1;o 3.4 index, the ENSO phase was positive (El Ni&#xf1;o) during the mooring observations period, and was strongest in November and December 2015. To investigate the variability of the MC, the meridional velocity at 150&#xa0;m and the depth of meridional velocity of little than -5&#xa0;cm s<sup>-1</sup> are regarded as the core velocity and depth of the MC. <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref> displays a monthly time series plot of the core velocity (blue line), the depth (black line) of the MC and the Ni&#xf1;o 3.4 index (red line). During the development of El Ni&#xf1;o from July to December 2015, the core velocity and depth of the MC were obviously increased and compared with the Ni&#xf1;o 3.4 index. Notably, it seems that the variability of the MC precedes the El Ni&#xf1;o by 2-3 months. The stronger MC during El Ni&#xf1;o is consistent with the observations of (<xref ref-type="bibr" rid="B11">Kashino et&#xa0;al, 2005</xref>; <xref ref-type="bibr" rid="B10">Kashino et&#xa0;al, 2009</xref>) and the numerical results of <xref ref-type="bibr" rid="B12">Kim et&#xa0;al. (2004)</xref>.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Monthly time series of the core velocity (cm s<sup>-1</sup>) (blue) and depth (m) (black) of MC and Ni&#xf1;o 3.4 index (&#xb0;C) (red) from September 2014 to January 2016.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g004.tif"/>
</fig>
<p>Another notable feature for the structure of velocity is the strength of the MUC during El Ni&#xf1;o. The vertical averaged meridional velocity from the depth at that velocity is greater than 5&#xa0;cm s<sup>-1</sup> to the deepest record by ADCPs was calculated to represent the strength of the MUC. <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref> shows the time series of the smoothed velocity of the MUC and Ni&#xf1;o 3.4 index. Over the observation duration, the peaks of the averaged velocity were observed in November 2014 and November 2015. Correspondingly, the crests of the Ni&#xf1;o 3.4 index are observed in November 2015. The consistent between Nino 3.4 index and the strength of the MUC imply that the undercurrent was modulated by El Ni&#xf1;o. It is possible that El Ni&#xf1;o affected the MUC through active subsurface ocean eddies which are suggested to be closely related to the variability of the MUC (<xref ref-type="bibr" rid="B4">Firing et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B27">Wang et&#xa0;al., 2014</xref>). It is worth noting that the pressure (green lines in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>) in late October and early November 2015 increased significantly and was consistent with the Ni&#xf1;o 3.4 index but preceded about 1 months. The MUC could be strengthened by 2015/2016 El Ni&#xf1;o, increased the displacement of ADCPs and the current meters on the mooring.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Time series of smoothed vertical mean north meridional velocity (cm s<sup>-1</sup>) (blue) and Ni&#xf1;o 3.4 index (&#xb0;C) (red) from August 2014 to January 2016.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g005.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Variability from direct observations</title>
<p>Mooring measurements not only provide the mean velocity structure of the currents but also enable us to investigate the variability of these currents. To clarify the variability from observations measured by ADCPs and Aqds-6000 current meters, we used power spectral analysis. The power spectra of the zonal and meridional velocity time series at all depths between 50&#xa0;m and 800&#xa0;m with the ADCPs-measured data are shown in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>. The coherent peak exhibiting zonal velocity for a period of around 70 days comprised almost the entire water column from the surface to 800&#xa0;m. However, for meridional velocity, the peak of approximately 110 days is significant only above 300&#xa0;m, and the period of 180 days is significant below 300&#xa0;m. <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref> illustrates the power spectra of zonal and meridional velocity recorded by Aqds-6000 current meters below 1,000 m. For the zonal velocity, the strongest with a 95% confidence level peak corresponds to the period of 110 days at 1,000 m and 80 days at 2,000 m. For the meridional velocity, only the peak at approximately 80 days at 1,000 m is above 95% confidence level. If the confidence level was reduced to 90%, the peak of 80 days at 2,000 m passed the significance test. In total, the intraseasonal variability of a period of 80-110 days was detected in the upper 300&#xa0;m and 1,000 m layers for the meridional velocity. For the zonal velocity, the whole water column from the surface to 2000&#xa0;m had similar features. <xref ref-type="bibr" rid="B30">Zhang et&#xa0;al. (2014)</xref>; <xref ref-type="bibr" rid="B27">Wang et&#xa0;al. (2014)</xref> and <xref ref-type="bibr" rid="B28">Wang et&#xa0;al. (2017)</xref> also mentioned the intraseasonal variability with a band of 60-80 days from the current meter measurements at the same mooring location. The difference from their studies may be attributed to the interannual variability.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Power Spectral Density of velocity measured by ADCPs in <bold>(A)</bold> zonal and <bold>(B)</bold> meridional currents.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g006.tif"/>
</fig>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Power Spectral Density of zonal (left) and meridional (right) velocity recorded by Aqds-6000 current meters at <bold>(A, B)</bold> 1000&#xa0;m, and <bold>(C, D)</bold> 2000&#xa0;m. Dashed lines means the significance test of 95% confidence level.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g007.tif"/>
</fig>
<p>To better understand the intraseasonal variability from surface to bottom, the horizontal velocities were processed with a 30-150 days bandpass Butterworth filter. The mean current in the depth range of 50-150&#xa0;m was regarded as the MC, and the current at the 1,000-m depth was regarded as the MUC. The filtered velocities clearly show the vertically coherent intraseasonal signal of the MC/MUC (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>), and the amplitude of these signals reaches 20 cm/s and then decreases with depth. In this region, intraseasonal variability is most likely attributed to eddy activity (<xref ref-type="bibr" rid="B20">Qu et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B27">Wang et&#xa0;al., 2014</xref>).</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Flow vector anomaly (cm s<sup>-1</sup>) under a 30-180 days band-pass filter at 8&#x2da;N, 127&#x2da;E <bold>(A)</bold> between 50-150&#xa0;m, <bold>(B)</bold> at 1000&#xa0;m, and <bold>(C)</bold> 2000&#xa0;m from September 2014 to January 2016 (unit are cm s<sup>-1</sup>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>
<xref ref-type="bibr" rid="B30">Zhang et&#xa0;al. (2014)</xref>; <xref ref-type="bibr" rid="B7">Hu et&#xa0;al. (2016)</xref> and <xref ref-type="bibr" rid="B1">Azminuddin et&#xa0;al. (2022)</xref> reported results at the same mooring location from 2010 to 2014 and from 2017 to 2019. Complementary observations from 2014 to 2016 were investigated in this study. The difference from previous reports is the mean meridional velocity maximum exceeding 100&#xa0;cm s<sup>-1</sup> at the depth of 85&#xa0;m, which is much stronger than the former but weaker than the one reported by <xref ref-type="bibr" rid="B11">Kashino et&#xa0;al. (2005)</xref>. The reason for this is likely the response of the current to the 2015/2016 El Ni&#xf1;o. Previous studies suggested that the MC is related to the ENSO (<xref ref-type="bibr" rid="B12">Kim et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B11">Kashino et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B10">Kashino et&#xa0;al., 2009</xref>). As described above in this study, the core velocity and depth of the MC obviously increased during the development of El Ni&#xf1;o from July to October 2015. At the same time, the velocity at 2,000 m was observed southward, consistent with the MC. It seems that the MC can extend to 2000&#xa0;m under the condition of El Ni&#xf1;o. In particular, the variability of the MC precedes the El Ni&#xf1;o by 2-3 months, which means that the stronger MC transported more cool water and likely exacerbated the development of El Ni&#xf1;o. To better understand how the El Ni&#xf1;o affects the MC and MUC and reaches at least 2000&#xa0;m, we considered the SLA (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>) at the mooring station. As illustrated, the strong MC during El Ni&#xf1;o 2015/16 was associated with an increase in SLA around 8&#xb0;N, 127&#xb0;E, from July 2015 to January 2016. Remote effects caused by Rossby wave propagation (with a propagation speed of about 21 cm/s) from the east rather than local wind variability appear to have contributed to this change.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Time-longitude diagram of Sea level anomaly along 8&#xb0;N from CMEMS. The red line presents the mooring current observed period.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g009.tif"/>
</fig>
<p>Below the MC, the reversed MUC is observed with the maximum mean value of 11.58&#xa0;cm s<sup>-1</sup> at 1,000 m depth. The velocity at 1,000 m is stronger than that at 800&#xa0;m. This implies that the core of the MUC is likely at a depth of around 1,000 m or between 1000-2000&#xa0;m. Over the observation period, the MUC was strengthened in November 2014 and November 2015. However, the intensity in November 2015 was stronger than in 2014. The strengthened MUC in May 2015 can be explained by the semiannual signal of MUC (<xref ref-type="bibr" rid="B25">Wang et&#xa0;al, 2016</xref>; <xref ref-type="bibr" rid="B21">Ren, et&#xa0;al., 2018</xref>). Correspondingly, the crests of the Ni&#xf1;o 3.4 index are observed in November to December 2015. It seems that El Ni&#xf1;o also affects the strength of the MUC. The relationship between the MUC and El Ni&#xf1;o needs to be further researched. If the variability of the MC or MUC preceded the El Ni&#xf1;o as described above, the prediction of MC or MUC will be helpful for the development of El Ni&#xf1;o.</p>
<p>The other difference between our data and the results of previous studies is the intraseasonal variability of currents in the Philippine Sea, which may be attributed to the extended deeper MC and enhanced MUC during the 2015/2016 El Ni&#xf1;o. We analyzed the OFES outputs to investigate the source of the intraseasonal variability of current in the Philippine Sea. The mean EKE at 605&#xa0;m along 8&#xb0;N from August 2014 to February 2016 (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref>) and the meridional velocity anomaly (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>) show that locally enhanced subsurface eddies are possible energy sources. This result is in accordance with previous studies. <xref ref-type="bibr" rid="B32">Zhang et&#xa0;al, 2017</xref> and <xref ref-type="bibr" rid="B9">Hui et&#xa0;al. (2022)</xref> suggested that the strong intraseasonal variability is induced by westward-translating subthermocline eddies. <xref ref-type="bibr" rid="B27">Wang et&#xa0;al. (2014)</xref> used mooring observations and a high-resolution numerical model to characterize the intraseasonal variability of the subthermocline current east of Mindanao. This variability was principally caused by the activity of subthermocline eddies from three different pathways. On the basis of OFES, <xref ref-type="bibr" rid="B2">Chiang and Qu (2013)</xref> found that subthermocline eddies with a 50-60 days period originating from the equatorial South Pacific Ocean can propagate northwestward and reach the Mindanao coast at a typical propagation speed of 12&#xa0;cm s<sup>-1</sup>. <xref ref-type="bibr" rid="B3">Dutrieux (2009)</xref> and <xref ref-type="bibr" rid="B30">Zhang et&#xa0;al. (2014)</xref> suggested that most of the eddy energy might be attributed to the mixed horizontal and vertical shear instability of subthermocline currents. When El Ni&#xf1;o occurs, negative sea surface height anomalies propagated westward in the form of the first-mode baroclinic Rossby wave, exerting impacts on the western boundary currents east of Philippine coast and further modulating the variation of subthermocline currents.</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Mean EKE at 605&#xa0;m <bold>(A)</bold> and along 8&#xb0;N <bold>(B)</bold> during September 2014 to February 2016 derived from the OFES outputs.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g010.tif"/>
</fig>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>The meridional velocity anomaly at 605&#xa0;m along 8&#xb0;N from September 2014 to February 2016 derived from the OFES outputs. Black dotted-line indicates the mooring position.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1113525-g011.tif"/>
</fig>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>On the basis of direct mooring observations at 8&#xb0;N, 127&#xb0;E, the vertical structure and current variability in different ocean layers was investigated during the 2015/2016 El Ni&#xf1;o. In the upper 600&#xa0;m, the MC is characterized by a stable southward flow with an annual mean velocity maximum exceeding 102.77 cm/s at 85&#xa0;m. In addition, the intraseasonal variability of currents in the Philippine Sea was described by investigating power spectra and bandpass filtered data. Moreover, changes in the MC and MUC during the 2015/2016 El Ni&#xf1;o clearly show significant extension of the depth of the MC from July to October 2015 and enhancement of the MUC corresponding with the Ni&#xf1;o 3.4 index. The intraseasonal variability of currents from the surface to the 2,000 m layer was also evaluated preliminarily. These results provide the first description of the vertical structure and variability of low-latitude western boundary currents east of Philippines during the 2015/2016 El Ni&#xf1;o. However, although this study highlights the impact of ENSO events on the MC and MUC, the detailed dynamics regulating this process should be further investigated. The multicore structure of the MUC (<xref ref-type="bibr" rid="B6">Hu and Cui, 1989</xref>) must be considered to understand the vertical structure of western boundary currents. Moreover, as discussed above, subthermocline eddies should not be ignored in studying the MC/MUC. Therefore, further hydrographic observations and more numerical simulations are needed to produce a broad understanding of these vital current systems.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>YL and FY initiated the idea and structured the article and QR analysed the data. YL wrote the manuscript. XD and CW contributed to the observation. FN contributed to discussion of MC and MUC. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This work was jointly supported by the Natural Science Foundation of Shandong Province (grant no. ZR2020MD057; no. ZR202110110019), the National Key R&amp;D Program of China, National Nature Science Foundation of China (grant no. 42206032) and the Shandong Joint Fund for Marine Science Research Centers (grant no. U1406401).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We thank the scientists and crews of R/V Science for their efforts in deploying and recovering the mooring.</p>
</ack>
<sec id="s9" 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="s10" 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>
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