<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="2.3" xml:lang="EN">
<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.2023.1071333</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>Interannual modulations in sea level rise over tropical Northwest Pacific in satellite altimeter measurements</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Uppara</surname>
<given-names>Umakanth</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1580633"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Moon</surname>
<given-names>Jae-Hong</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1679770"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jang</surname>
<given-names>Chan Joo</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/812919"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jo</surname>
<given-names>Young-Heon</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="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1321607"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>BK21 School of Earth Environmental Systems, Pusan National University</institution>, <addr-line>Busan</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Oceanography and Marine Research Institute, Pusan National University</institution>, <addr-line>Busan</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Earth and Marine Sciences, Jeju National University</institution>, <addr-line>Jejusi</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Ocean Circulation Research Center, Korea Institute of Ocean Science and Technology</institution>, <addr-line>Yeongdo-Gu, Busan</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Ocean Science, University of Science and Technology</institution>, <addr-line>Yuseong-Gu, Daejeon</addr-line>, <country>Republic of Korea</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Lichuan Wu, Uppsala University, Sweden</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Yong Fang, Shandong University of Science and Technology, China; Enhui Liao, Shanghai Jiao Tong University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Young-Heon Jo, <email xlink:href="mailto:joyoung@pusan.ac.kr">joyoung@pusan.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>08</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1071333</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>02</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Uppara, Moon, Jang and Jo</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Uppara, Moon, Jang and Jo</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 sea level rise (SLR) estimates in tropical Pacific are dominantly influenced by interannual and interdecadal variations in limited data sets such as satellite altimeter measurements. The Sea Level Anomaly (SLA) trends during 1993&#x2013;2012 (extensively reported) and 1993&#x2013;2020 significantly differ with substantial weakening during 1993&#x2013;2020 over tropical Northwest Pacific (NWP; 0&#x2013;15<sup>&#xb0;</sup>N; 120<sup>&#xb0;</sup>E &#x2212;170<sup>&#xb0;</sup>E). An ensemble empirical mode decomposition (EEMD) approach is employed to derive residual SLA by removing the high-frequency SLA variations including the interannual and interdecadal variations. The linear trends estimated from residual SLA provides a better estimate for the trends in SLA. The residual trends have greatly reduced the observed differences in SLA trends between 1993&#x2013;2012 and 1993&#x2013;2020. Our analysis suggests that it is the interdecadal variations in SLA that caused the weakening of overall trend during 1993&#x2013;2020. In particular, the interdecadal trend in SLA over NWP is &#x2248; &#x2212;1.73 mm year<sup>&#x2212;1</sup>, whereas the trends in total and the residual SLA are estimated as 4.26&#xa0;mm year<sup>&#x2212;1</sup> and 6.32&#xa0;mm year<sup>&#x2212;1</sup>, respectively. Furthermore, it is observed that there is an <italic>in-phase</italic> connection between the interannual and the interdecadal variations of SLA associated with La Ni&#xf1;a compared with El Ni&#xf1;o. Therefore, the non-occurrence of La Ni&#xf1;a after 2012 to 2020 possibly has contributed for the decreasing trend in interdecadal variations due to its <italic>in-phase</italic> connection. In short, the complexity of variations in SLA at different timescales over NWP and the Pacific significantly influences the SLA trend estimates.</p>
</abstract>
<kwd-group>
<kwd>sea level rise</kwd>
<kwd>Northwest Pacific</kwd>
<kwd>EEMD</kwd>
<kwd>ENSO</kwd>
<kwd>satellite altimeter measurements</kwd>
</kwd-group>
<counts>
<fig-count count="6"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="41"/>
<page-count count="8"/>
<word-count count="3853"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The advent of satellite altimeters has provided near-global measurements of sea level height in recent decades to make realistic estimates of global mean sea level (GMSL) rise (<xref ref-type="bibr" rid="B25">Mitchum et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B38">Wenzel and Schr&#xf6;ter, 2014</xref>). The past two decades noticed a significant sea level rise (SLR) at a rate of 3.7&#xa0;mm year<sup>&#x2212;1</sup> compared with the SLR of 1.3&#xa0;mm year<sup>&#x2212;1</sup> during 1901&#x2013;1970 (<xref ref-type="bibr" rid="B24">Merrifield, 2011</xref>; <xref ref-type="bibr" rid="B30">Oppenheimer et&#xa0;al., 2019</xref>). However, the GMSL rise largely differs from the regional SLR and the local SLR that are strongly modulated by the coupled ocean dynamics under the influence of climate modes driven by natural and anthropogenic forcing (<xref ref-type="bibr" rid="B6">Cazenave and Llovel, 2010</xref>; <xref ref-type="bibr" rid="B33">Stammer et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B2">Becker et&#xa0;al., 2014</xref>). For example, parts of the tropical Northwest Pacific (NWP) experience SLR in the range of 8&#x2013;10 mm year<sup>-1</sup> during 1993&#x2013;2012 after the removal of GMSL rise (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>). Previous researchers suggested the role of wind stress in sea level changes <italic>via</italic> planetary waves, Ekman pumping, coastal upwelling (<xref ref-type="bibr" rid="B19">Lee and McPhaden, 2008</xref>; <xref ref-type="bibr" rid="B37">Timmermann et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B29">Nidheesh et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B31">Palanisamy et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B7">Cha et&#xa0;al., 2018</xref>). In general, these changes in Pacific Sea level at interannual and decadal timescales are primarily linked to El Ni&#xf1;o/Southern Oscillation (ENSO), Pacific Decadal Oscillation (PDO), and Interdecadal Pacific Oscillation (IPO) (<xref ref-type="bibr" rid="B41">Zhang and Church, 2012</xref>; <xref ref-type="bibr" rid="B22">Meehl et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B26">Moon et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B15">Han et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B27">Moon et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B23">Meng et&#xa0;al., 2019</xref>)</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Spatial pattern of linear trend (mm year<sup>&#x2212;1</sup>) in altimeter measured SLA for the periods <bold>(A)</bold> 1993&#x2013;2012 and <bold>(B)</bold> 1993&#x2013;2020 after the removal of GMSL trend, and <bold>(C)</bold> is <bold>(B)</bold> &#x2013; <bold>(A)</bold>. Similarly, <bold>(D)</bold> and <bold>(E)</bold> are like <bold>(A)</bold> and <bold>(B)</bold>; however, trends are estimated using residual SLA and <bold>(F)</bold> is <bold>(E)</bold> &#x2013; <bold>(D)</bold>. Only statistical significance values at 95% confidence level are shown using standard <italic>t</italic>-test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1071333-g001.tif"/>
</fig>
<p>A recent study has indicated a weakening of sea level over the west tropical Pacific and an enhancement over the west coast of the United States in recent years as a response to biennial oscillation associated with ENSO and the low-frequency variations of PDO (<xref ref-type="bibr" rid="B13">Hamlington et&#xa0;al., 2016</xref>). Similar is the case of SLR even in the latest estimates of trend over the period from 1993 to 2020 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>). Strikingly, the weakening of SLR over the parts of NWP is closely three times compared with the trend estimates for the period from 1993 to 2012. It is well documented that, the east&#x2013;west asymmetry in the SLR in the tropical Pacific is largely modulated by the occurrence of El Ni&#xf1;o and La Ni&#xf1;a (<xref ref-type="bibr" rid="B21">Mcgregor et&#xa0;al., 2012</xref>). On interannual timescales, strong SLR over NWP during La Ni&#xf1;a and sharp fall of sea level during El Ni&#xf1;o conditions, in response to the prevailing easterly and westerly wind anomalies over the tropical Pacific (<xref ref-type="bibr" rid="B32">Ren et&#xa0;al., 2020</xref>). The SLR during La Ni&#xf1;a exerts a great threat to the densely populated regions in the west Pacific by causing extreme marine flooding, aggravating coastal erosion, saltwater intrusion into freshwater storage of coastal aquifers (<xref ref-type="bibr" rid="B3">Becker et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B8">Chang et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B4">Cazenave and Cozannet, 2014</xref>), while sharp fall in sea level during El Ni&#xf1;o could potentially damage the coral reef and the local ecosystems (<xref ref-type="bibr" rid="B11">Elvan Ampou et&#xa0;al., 2017</xref>). Recently, media reports on La Ni&#xf1;a during 2021 have indicated a rise of sea levels by approximately 15&#x2013;20 cm in some parts of western Pacific regions due to high tides across the Pacific.</p>
<p>The present study considered SLA from 1993 to 2020 and during this period, particularly from 2013 to 2020; there is no occurrence of strong La Ni&#xf1;a, whereas extreme El Ni&#xf1;o event have occurred during 2015&#x2013;2016. In view of these differences, in the present study, we aim to understand the recent decline in the SLR with a focus on variability associated with El Ni&#xf1;o and La Ni&#xf1;a at different timescales. Considering the length of the period under study, a major attention is toward the interdecadal variability associated with ENSO and its connection with IPO and the PDO. An ensemble empirical mode decomposition (EEMD) approach is applied to extract dominant periodicities associated with ENSO variability in tropical Pacific SLA. The rest of the paper is organized into different sections as follows. Section 2 describes the data and the methodology adopted in this study. Section 3 discusses the results, while Section 4 presents the summary and the conclusions drawn from the analysis.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Data and methodology</title>
<sec id="s2_1">
<label>2.1</label>
<title>Satellite altimeter and reanalysis data</title>
<p>The satellite altimetry data for SLA from 1993 through 2020 are obtained from Copernicus Marine Environment Monitoring Service (CMEMS). The altimeter measurements from multiple satellites are processed by the Data Unification and Altimeter Combination System (DUACS) and is distributed by CMEMS (<xref ref-type="bibr" rid="B36">Taburet et&#xa0;al., 2019</xref>). The data are available on a regular grid with a spatial resolution of 0.25&#xb0;, and the monthly mean of sea level anomalies are computed with respect to 1993&#x2013;2012 period. We have used the indices that represent the dominant Pacific climate drivers such as ENSO, IPO, and PDO (<ext-link ext-link-type="uri" xlink:href="https://psl.noaa.gov/gcos_wgsp/Timeseries">https://psl.noaa.gov/gcos_wgsp/Timeseries</ext-link>).</p>
<p>Two different filtering methods are applied to extract interannual and interdecadal variability in the SLA such as Lanczos band pass filter (<xref ref-type="bibr" rid="B10">Duchon, 1979</xref>) and EEMD (<xref ref-type="bibr" rid="B16">Huang et&#xa0;al., 1998</xref>). Study also examines the SLA composites for El Ni&#xf1;o and La Ni&#xf1;a events in the total SLA, interannual and interdecadal SLA derived from EEMD. The composites are formed considering 12 months spanning the developing phase of ENSO (from June) to decaying phase (to May). The 12-month means are considered for each ENSO event and during 1993&#x2013;2020; there is a total of five El Ni&#xf1;o events and four La Ni&#xf1;a events.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>EEMD</title>
<p>The EEMD approach is the most essential part of the analysis in this study. It is an advanced version of the basic EMD method introduced to decompose the signals into finite number of intrinsic mode functions (IMFs) of different periods and a residual as a representative of long-term non-linear trend in the data (<xref ref-type="bibr" rid="B16">Huang et&#xa0;al., 1998</xref>). In EMD, the first IMF is estimated by fitting a cubic spline to the local maximum and the minimum envelops identified in the data. The second IMF is obtained after removing first IMF from the data, and it is repeated until no significant oscillations in the signal (residual mode). However, in EEMD, each IMF is derived as a mean of ensembles of corresponding IMF obtained by EMD in each realization of signal with the addition of varying Gaussian white noise (<xref ref-type="bibr" rid="B17">Huang and Wu, 2008</xref>). The ensemble averaging largely reduces the noise and significantly improves the mode separation compared with EMD (<xref ref-type="bibr" rid="B39">Wu and Huang, 2009</xref>; <xref ref-type="bibr" rid="B40">Wu et&#xa0;al., 2009</xref>). Many researchers have successfully applied EEMD in scientific literature to separate the variability associated with the signal into intrinsic modes corresponding to different periods (<xref ref-type="bibr" rid="B18">Jeong et&#xa0;al., 2022</xref>). Particularly, in this study, the application of EEMD is mainly intended to extract interannual and interdecadal variations (IDVs) in SLA and the linear trends associated with residual. In addition, a band pass filter is also used to extract variations in climate indices at interannual, interdecadal, and decadal timescales to support our analysis.</p>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Results and discussions</title>
<sec id="s3_1">
<label>3.1</label>
<title>Trends in Pacific sea level</title>
<p>The SLA data used in this study are relatively short in distinguishing natural and anthropogenic signals in SLR (<xref ref-type="bibr" rid="B1">Ablain et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B28">Nicholls et&#xa0;al., 2021</xref>). The linear trend estimated over 1993&#x2013;2020 is broadly a trend of decadal variability. We initially computed the SLR over the tropical Pacific Ocean for the period of 1993&#x2013;2012 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>) and the current period 1993&#x2013;2020 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>) after the removal of GMSL trend (GMSL value is based on the altimeter data; see <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). In comparison, an overall weakening of SLR over the western Pacific and an enhancement in SLR over the east Pacific is noticed in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>. Quantitatively, parts of NWP showing SLR estimates as high as 8&#x2013;10 mm year<sup>&#x2212;1</sup> in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref> are significantly reduced to 1&#x2013;2 mm year<sup>&#x2212;1</sup> in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>. Also noted that, the appearance of positive SLR anomaly over the east Pacific little away from the west coast of America (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1C</bold>
</xref>) is an indication of rising sea levels over the east Pacific in consistent with earlier studies (<xref ref-type="bibr" rid="B14">Hamlington et&#xa0;al., 2020</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Linear trends in SLA over the period 1993&#x2013;2020 for different spatial and temporal scales.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center">Total</th>
<th valign="top" align="center">IAV</th>
<th valign="top" align="center">IDV</th>
<th valign="top" align="center">Residual</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<bold>GMSL</bold>
</td>
<td valign="top" align="center">
<italic>3.08</italic>
</td>
<td valign="top" align="center">&#x2212;0.01</td>
<td valign="top" align="center">&#x2212;0.0</td>
<td valign="top" align="center">
<italic>3.09</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>TPSL</bold>
</td>
<td valign="top" align="center">
<italic>2.95</italic>
</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">
<italic>2.92</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>NWPSL</bold>
</td>
<td valign="top" align="center">
<italic>4.26</italic>
</td>
<td valign="top" align="center">&#x2212;0.19</td>
<td valign="top" align="center">&#x2212;<italic>1.73</italic>
</td>
<td valign="top" align="center">
<italic>6.32</italic>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>GMSL, global mean sea level; TPSL, tropical Pacific sea level; NWPSL, sea level over Northwest Pacific. Please note that the units are in mm year<sup>&#x2212;1</sup>. The temporal scales are obtained from EEMD technique. The values in italic indicate the statistically significant trends at 95% confidence level. The estimates are based on the present data sets used in this study.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Furthermore, we attempt to understand the differences in SLR by analyzing the SLA variations at interannual, interdecadal timescales by applying EEMD technique. The IMF modes derived from EEMD contain frequency information, where the combination of 5<sup>th</sup> and 6<sup>th</sup> IMF modes represents interannual variations (IAVs) with oscillating periods (2&#x2013;9 years), 7<sup>th</sup> and 8<sup>th</sup> IMF modes represent IDVs with oscillating periods (10&#x2013;20 years), and the last mode (9<sup>th</sup> mode in this data set) represents the residual. The residual mode indicates the low-frequency variations in SLA after the removal of variations associated with all frequencies including IAV and IDV modes. The residual trend patterns in <xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1D, E</bold>
</xref> are strikingly different from <xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1A, B</bold>
</xref>, with significant weakening of SLR during 1993&#x2013;2012 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1D</bold>
</xref>) and the strengthening during 1993&#x2013;2020 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1E</bold>
</xref>) over the entire tropical Pacific. The observed difference in trends in SLA between two periods (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1C</bold>
</xref>) over the Northwest Pacific is largely reduced in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1F</bold>
</xref>. This suggests that the trend estimated from residual modes is a better estimate of long-term trend compared with trends estimated from total SLA due to strong influences from IAV and IDV (<xref ref-type="bibr" rid="B5">Cazenave et&#xa0;al., 2014</xref>).</p>
<p>We further examined the trend pattern by selectively removing the IAV (IMF 5 and IMF 6) and IDV (IMF 7 and IMF 8) from the total SLA. Therefore, the SLR estimates in <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2A, B</bold>
</xref> do not include the variations in SLA at interannual timescales, while <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2C, D</bold>
</xref> do not include the variations in SLA at interdecadal timescales. Due to the removal of IAV, the trend in SLA considerably decreased for the period 1993&#x2013;2012 (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>) compared with <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>; however, no significant changes in trends for the period 1993&#x2013;2020 (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1B</bold>
</xref>, <xref ref-type="fig" rid="f2">
<bold>2B</bold>
</xref>). Similarly, in the absence of IDV of SLA, there are no significant differences in SLR over NWP between <xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1D</bold>
</xref>, <xref ref-type="fig" rid="f2">
<bold>2C</bold>
</xref>, whereas significant rise in SLR in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2D</bold>
</xref> compared with <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>. The trend pattern in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2D</bold>
</xref> appears a close match with residual trend pattern (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1E</bold>
</xref>). This indicates that the length of the data 1993&#x2013;2020 is longer enough to substantially reduce the IAV influence on trend estimates, whereas the influence of IDVs played a significant role in the reduction of SLR during 1993&#x2013;2020 (<xref ref-type="bibr" rid="B20">Lyu et&#xa0;al., 2017</xref>). This is consistent with trend estimates shown in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> for IDV, which shows a significant negative trend of &#x2248; &#x2212;1.73 mm year<sup>-1</sup> over the NWP region during the period of 1993&#x2013;2020.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>
<bold>(A, B)</bold> Spatial pattern of linear trend (mm year<sup>&#x2212;1</sup>) of the SLA after the removal of interannual variations from SLA. The trend patters are shown after the removal of GMSL trend for the period <bold>(A)</bold> 1993&#x2013;2012 and <bold>(B)</bold> 1993&#x2013;2020. <bold>(C, D)</bold> are like <bold>(A, B)</bold>; however, trends are estimated after the removal of Interdecadal variations from SLA. Only statistical significance values at 95% confidence level are shown using standard <italic>t</italic>-test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1071333-g002.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>SLA variability over NWP</title>
<p>The SLA variations over NWP are largely dominated by the interannual fluctuations from ENSO in response to El Ni&#xf1;o and La Ni&#xf1;a (<xref ref-type="bibr" rid="B12">Guo et&#xa0;al., 2022</xref>), which can be seen in <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A, B</bold>
</xref>. The SLA time series shows positive SLA persistent over longer duration during La Ni&#xf1;a and adjoining neutral years than a sharp dip in SLA during El Ni&#xf1;o (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>). The residual mode overlaid on the SLA time series clearly indicates a rising trend. A close match between interannual SLA mode (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>) and the observed SLA (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>) suggests dominant interannual fluctuations as mentioned earlier. The SLA over NWP exhibits strong negative correlations with ENSO (&#x2212;0.87 at lag-0), IPO (&#x2212;0.84 at lag-0) while the slightly weak correlation with PDO (&#x2212;0.64 at lag-3 while &#x2212;0.58 at lag-0), which are statistically significant (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). The bar diagram in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref> pictorially represents the negative correlation between the NWP SLA with the ENSO (Nino34 index) as well as with the PDO (PDO index). The correlations shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> are not lag-0 correlations; these are maximum correlations with lag and are negatively correlated. Here, positive lag indicates a leading climate mode index with respect to SLA over NWP. Despite the low amplitude of variations, both interdecadal and the detrended residual (decadal) variations (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>) significantly influences the long-term trend estimated. For example, the observed decreasing trend in interdecadal mode as discussed in section 2.1 is a result of change in phase of IDVs from positive during 1994&#x2013;2012 to negative during 2013&#x2013;2020. Similarly, the negative amplitude of decadal variations noted from the year 2015 (detrended residual, <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>) also have reinforced the recent decrease in SLA trend (<xref ref-type="bibr" rid="B35">Sun et&#xa0;al., 2017</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>The time series shows the averaged SLA over the NWP (0&#x2013;15<sup>&#xb0;</sup>N; 120E<sup>&#xb0;</sup> &#x2212;170<sup>&#xb0;</sup>E) region for the period 1993&#x2013;2020. <bold>(A)</bold> Time series of SLA, the residual; <bold>(B)</bold> EEMD modes such interannual and interdecadal time series and detrended residual. The light color shades of rectangular boxes indicate La Ni&#xf1;a (light blue) and El Ni&#xf1;o (light pink) years.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1071333-g003.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>The maximum correlations at different lags (in months) between modes of SLA variations derived from EEMD and the climate indices.</p>
</caption>
<table frame="hsides">
<tbody>
<tr>
<td valign="middle" rowspan="2" align="left">
<bold>SLA (detrended)</bold>
</td>
<td valign="top" align="center">
<bold>Ni&#xf1;o34 (detrended)</bold>
</td>
<td valign="top" align="center">
<bold>PDO (detrended)</bold>
</td>
<td valign="top" align="center">
<bold>IPO (detrended)</bold>
</td>
</tr>
<tr>
<td valign="top" align="center">&#x2212;0.83 (0)</td>
<td valign="top" align="center">&#x2212;0.64 (&#x2212;3)</td>
<td valign="top" align="center">&#x2212;0.84 (0)</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="left">
<bold>IAV of SLA</bold>
</td>
<td valign="top" align="center">
<bold>Ni&#xf1;o34 (2&#x2013;9 years)</bold>
</td>
<td valign="top" align="center">
<bold>PDO (2&#x2013;9 years)</bold>
</td>
<td valign="top" align="center">
<bold>IPO (2&#x2013;9 years)</bold>
</td>
</tr>
<tr>
<td valign="top" align="center">&#x2212;0.81 (0)</td>
<td valign="top" align="center">&#x2212;0.71 (0)</td>
<td valign="top" align="center">&#x2212;0.80 (0)</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="left">
<bold>IDV of SLA</bold>
</td>
<td valign="top" align="center">
<bold>Ni&#xf1;o34 (10&#x2013;20 years)</bold>
</td>
<td valign="top" align="center">
<bold>PDO (10&#x2013;20 years)</bold>
</td>
<td valign="top" align="center">
<bold>IPO (10&#x2013;20 years)</bold>
</td>
</tr>
<tr>
<td valign="top" align="center">&#x2212;0.72 (&#x2212;14)</td>
<td valign="top" align="center">&#x2212;0.64 (&#x2212;21)</td>
<td valign="top" align="center">&#x2212;0.69 (&#x2212;23)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The correlations are statistically significant at 95% confidence level are shown.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Bar plot of standardized SLA for the period 1993-2020 over the NWP (0 &#x2013; 15&#xb0;N; 120 E&#xb0; -170&#xb0; E), and the standardized ENSO Nino34 index and PDO index. For clarity, the period 1993-2020 is spit into two equal periods i.e. 1993 - 2006 as in <bold>(A)</bold> and 2007-2020 as in <bold>(B)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1071333-g004.tif"/>
</fig>
<p>In addition, we have estimated the lag correlations between interannual and interdecadal modes of SLA over NWP with the corresponding frequencies (after bandpass filtering) of climate indices. The filtering of climate indices is based on the power spectrum of SLA over the NWP region (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>) along with power spectrum for different modes of SLA derived from EEMD. The spectral power of SLA at interannual timescales (&lt; 10 years) is significantly higher than at interdecadal (&gt; 10 years, less than &#x2248; 20 years) and decadal timescales &gt; 20 years (residual, not shown). The correlations computed between the SLA modes and the bandpass-filtered indices of ENSO, PDO, and IPO show interannual correlations peaks at lag-0 with ENSO (&#x2212;0.81), IPO (&#x2212;0.80), and PDO (&#x2212;0.71), respectively, while the interdecadal correlations peaks at negative (&#x2248; 1 year or more) lags considering the oscillatory and the low-frequency nature of variations at interdecadal timescales (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). The interdecadal correlations at lag-0 are week such as &#x2212;0.61, &#x2212;0.45, and &#x2212;0.43, respectively, with ENSO, PDO, and IPO. In contrast, the negative lag correlations are slightly strong with ENSO (&#x2212;0.72 at lag-14), PDO (&#x2212;0.64 at lag-21), and IPO (&#x2212;0.69 at lag-23), respectively, as shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>The power spectra of SLA over the NWP region for different cases. <bold>(A)</bold> Total SLA, <bold>(B)</bold> SLA after the removal of residual, and <bold>(C, D)</bold> for the interdecadal and interannual SLA. The dashed line (red) indicates the red noise spectra.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1071333-g005.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Interdecadal modulation of ENSO influence on SLA</title>
<p>The east&#x2013;west asymmetry in SLR in the tropical Pacific is largely attributed to the ENSO, that is, the occurrence of El Ni&#xf1;o and La Ni&#xf1;a events. During 1993&#x2013;2020, there are a total of five El Ni&#xf1;o events such as 1994&#x2013;1995, 1997&#x2013;1998, 2002&#x2013;2003, 2009&#x2013;2010, 2015&#x2013;2016, and four La Ni&#xf1;a year events 1995&#x2013;1996, 1998&#x2013;2000, 2007&#x2013;2008, 2010&#x2013;2012 occurred. Out of these events, there are two La Ni&#xf1;a events spanning over 2 years, that is, 1998&#x2013;2000 and 2010&#x2013;2012. Currently, this year is a likely extension of La Ni&#xf1;a conditions from 2021 to 2023, that is, a triple La Ni&#xf1;a event likely to form, and it will be more common in a warming environment as experts suggested. <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref> shows the mean composite maps of SLA during El Ni&#xf1;o, and La Ni&#xf1;a and the pattern of SLA during La Ni&#xf1;a (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6D</bold>
</xref>) closely resemble the observed trend pattern in SLA (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Although both El Ni&#xf1;o and La Ni&#xf1;a patterns look similar but opposite (<xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6A, D</bold>
</xref>), slightly higher magnitude of positive SLA is observed during La Ni&#xf1;a to the west of 150<sup>&#xb0;</sup>E between 20<sup>&#xb0;</sup>S and 20<sup>&#xb0;</sup>N compared with magnitude of negative anomalies during El Ni&#xf1;o. Furthermore, a slight westward shift of negative SLA across the equator toward the central Pacific in La Ni&#xf1;a compared with El Ni&#xf1;o. The frequency of occurrence and the duration of these events certainly impact the variations in SLA, specifically over western Pacific.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Mean SLA pattern during <bold>(A)</bold> El Ni&#xf1;o (1994&#x2013;1995, 1997&#x2013;1998, 2002&#x2013;2003, 2009&#x2013;2010, and 2015&#x2013;2016) and <bold>(D)</bold> La Ni&#xf1;a (1995&#x2013;1996, 1998&#x2013;2000, 2007&#x2013;2008, and 2010&#x2013;2012) events in the period 1993&#x2013;2020. Only statistical significance values at 95% confidence level are shown using standard <italic>t</italic>-test. The SLAs are detrended before making the composites. Like <bold>(A)</bold> and <bold>(D)</bold>, the El Ni&#xf1;o and the La Ni&#xf1;a composites of SLA are derived from interannual <bold>(B)</bold> and <bold>(E)</bold> and interdecadal <bold>(C)</bold> and <bold>(F)</bold> variations of SLA. The units are in cm.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1071333-g006.tif"/>
</fig>
<p>We further examine El Ni&#xf1;o and La Ni&#xf1;a mean composite maps of SLA derived from interannual and interdecadal modes of SLA from EEMD. The interannual SLA pattern (<xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6B, E</bold>
</xref>) shows a significant reduction in the magnitude of anomalies in both El Ni&#xf1;o and La Ni&#xf1;a; however, both the patterns look very much like the total SLA pattens shown in <xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6A, D</bold>
</xref>. However, the interdecadal mean patterns during El Ni&#xf1;o and La Ni&#xf1;a show notable differences (<xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6C, F</bold>
</xref>). El Ni&#xf1;o pattern shows negative SLA over the central Pacific while positive anomalies on either side of it in contrast to the interannual and the total SLA mean patterns. It resembles a central Pacific El Ni&#xf1;o&#x2013;type response in SLA and is consistent with earlier studies suggesting the role of decadal anomalies in modulating the frequency of central Pacific El Ni&#xf1;o (<xref ref-type="bibr" rid="B9">Di Lorenzo et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B34">Sullivan et&#xa0;al., 2016</xref>). However, the mean pattern of SLA during La Ni&#xf1;a (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6F</bold>
</xref>) is in phase with the interannual, and the total SLA mean patterns, although considerably weak magnitude. Therefore, the occurrence of La Ni&#xf1;a may partly influence the estimated trends in the interdecadal SLA due to its in-phase connection. In general, La Ni&#xf1;a induces positive SLA over the west Pacific, the non-occurrence of La Ni&#xf1;a after 2012 until 2020, might have contributed for the observed decreasing trend in interdecadal SLA. The present analysis suggests the complexity of influences on west pacific SLA by interannual and IDVs in the limited data sets and reiterates the dominant role of IAVs arising from ENSO. Especially, the more frequent and long-duration La Ni&#xf1;a events, as suggested in literature, will pose a severe threat to the coastal regions in the west Pacific.</p>
</sec>
</sec>
<sec id="s4" sec-type="conclusions">
<label>4</label>
<title>Conclusions</title>
<p>The trends in SLA over the tropical Pacific during 1993&#x2013;2012 and 1993&#x2013;2020 are significantly different. Quantitatively, the trend over NWP during 1993&#x2013;2020 shows SLR as low as 1&#x2013;2 mm year<sup>-1</sup> compared with 8&#x2013;10 mm year<sup>-1</sup> during 1993&#x2013;2012. These differences in the SLA trends are significantly reduced when the trends are estimated from the residual SLA. The residual SLA is derived from EEMD approach after removing high-frequency variations in SLA including the interannual and IDVs. It is observed that the removal of IDVs alone from total SLA does not produce the decreasing trend observed during 1993&#x2013;2020. This shows that the decreasing trend is due to the IDVs, and it is estimated that the trend in IDV of SLA is approximately &#x2212;1.73 mm year<sup>&#x2212;1</sup>. The power spectrum of total SLA and interannual and interdecadal modes from EMMD indicates two distinct periods (2&#x2013;9 years and 10&#x2013;20 years) in SLA, and they likely coincide with periodicities of climate models such as ENSO and IPO.</p>
<p>The total and the interannual correlations of SLA over NWP with climate indices are negative and strongly correlated with ENSO and IPO than the PDO. At interdecadal timescales, the lag-0 correlations are significantly week, whereas the maximum correlations are observed at negative lags. The analysis of composite maps of SLA during El Ni&#xf1;o and La Ni&#xf1;a indicates that La Ni&#xf1;a composite closely resembles the trend patten that is observed during recent decades. The interesting result from the analysis is the difference in the interdecadal modulation of El Ni&#xf1;o and La Ni&#xf1;a on SLA. The interdecadal component of SLA during La Ni&#xf1;a is in phase with the interannual component, whereas El Ni&#xf1;o interdecadal component resembles a central Pacific type of SLA pattern compared with the interannual SLA pattern of canonical El Ni&#xf1;o. This in phase connection between interannual and IDVs during La Ni&#xf1;a might have resulted in the recent decrease in SLR due to non-occurrence of La Ni&#xf1;a after 2012 until 2020. These results suggest the important role of ENSO events in modulating the SLR over west Pacific and in particular about the La Ni&#xf1;a events and their growing influence on SLR rise under the warming.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>Conceptualization: UU and Y-HJ. Data curation: UU. Methodology: UU and Y-HJ. Formal analysis: UU. Writing-original draft: UU. Writing-review and editing: UU, J-HM, CJ and Y-HJ. Supervision: Y-HJ. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>This study was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF- 2018R1A2B2006555) and the project titled &#x201c;Development of technology using analysis of ocean satellite images&#x201d; (20210046).</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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ablain</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Cazenave</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Larnicol</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Balmaseda</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Cipollini</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Faug&#xe8;re</surname> <given-names>Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2015</year>). <article-title>Improved sea level record over the satellite altimetry era, (1993-2010) from the climate change initiative project</article-title>. <source>Ocean Sci.</source> <volume>11</volume>, <fpage>67</fpage>&#x2013;<lpage>82</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.5194/os-11-67-2015</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Becker</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Karpytchev</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Lennartz-Sassinek</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Long-term sea level trends: Natural or anthropogenic</article-title>? <source>Geophys. Res. Lett.</source> <volume>41</volume>, <fpage>5571</fpage>&#x2013;<lpage>5580</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/2014GL061027</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Becker</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Meyssignac</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Letetrel</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Llovel</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Cazenave</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Delcroix</surname> <given-names>T.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Sea Level variations at tropical pacific islands since 1950</article-title>. <source>Glob. Planet. Change</source> <volume>80&#x2013;81</volume>, <fpage>85</fpage>&#x2013;<lpage>98</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.gloplacha.2011.09.004</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cazenave</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Cozannet</surname> <given-names>G.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Sea Level rise and its coastal impacts</article-title>. <source>Earth&#x2019;s Futur.</source> <volume>2</volume>, <fpage>15</fpage>&#x2013;<lpage>34</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/2013ef000188</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cazenave</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Dieng</surname> <given-names>H. B.</given-names>
</name>
<name>
<surname>Meyssignac</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Von Schuckmann</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Decharme</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Berthier</surname> <given-names>E.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>The rate of sea-level rise</article-title>. <source>Nat. Clim. Change</source> <volume>4</volume>, <fpage>358</fpage>&#x2013;<lpage>361</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/nclimate2159</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cazenave</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Llovel</surname> <given-names>W.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Contemporary sea level rise</article-title>. <source>Ann. Rev. Mar. Sci.</source> <volume>2</volume>, <fpage>145</fpage>&#x2013;<lpage>173</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1146/annurev-marine-120308-081105</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cha</surname> <given-names>S. C.</given-names>
</name>
<name>
<surname>Moon</surname> <given-names>J. H.</given-names>
</name>
<name>
<surname>Song</surname> <given-names>Y. T.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>A recent shift toward an El ni&#xf1;o-like ocean state in the tropical pacific and the resumption of ocean warming</article-title>. <source>Geophys. Res. Lett.</source> <volume>45</volume>, <fpage>11,885</fpage>&#x2013;<lpage>11,894</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2018GL080651</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chang</surname> <given-names>Y. T.</given-names>
</name>
<name>
<surname>Du</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>S. W.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>P. F.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Sea Level variations in the tropical pacific ocean during two types of recent El ni&#xf1;o events</article-title>. <source>Glob. Planet. Change</source> <volume>108</volume>, <fpage>119</fpage>&#x2013;<lpage>127</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.gloplacha.2013.06.001</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Di Lorenzo</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Cobb</surname> <given-names>K. M.</given-names>
</name>
<name>
<surname>Furtado</surname> <given-names>J. C.</given-names>
</name>
<name>
<surname>Schneider</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Anderson</surname> <given-names>B. T.</given-names>
</name>
<name>
<surname>Bracco</surname> <given-names>A.</given-names>
</name>
<etal/>
</person-group>. (<year>2010</year>). <article-title>Central pacific El ni&#xf1;o and decadal climate change in the north pacific ocean</article-title>. <source>Nat. Geosci.</source> <volume>3</volume>, <fpage>762</fpage>&#x2013;<lpage>765</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/ngeo984</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Duchon</surname> <given-names>C. E.</given-names>
</name>
</person-group> (<year>1979</year>). <article-title>Lanczos filtering in one and two dimensions</article-title>. <source>J. Appl. Meteorol</source> <volume>18</volume> (<issue>8</issue>), <fpage>1016</fpage>&#x2013;<lpage>1022</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/1520-0450(1979)018&lt;1016:LFIOAT&gt;2.0.CO;2</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Elvan Ampou</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Johan</surname> <given-names>O.</given-names>
</name>
<name>
<surname>Menkes</surname> <given-names>C. E.</given-names>
</name>
<name>
<surname>Ni&#xf1;o</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Birol</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Ouillon</surname> <given-names>S.</given-names>
</name>
<etal/>
</person-group>. (<year>2017</year>). <article-title>Coral mortality induced by the 2015-2016 El-ni&#xf1;o in Indonesia: The effect of rapid sea level fall</article-title>. <source>Biogeosciences</source> <volume>14</volume>, <fpage>817</fpage>&#x2013;<lpage>826</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.5194/bg-14-817-2017</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>J. Z.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Opposite responses of sea level variations to ENSO in the northwestern pacific: A transition latitude at 20&#xb0;N</article-title>. <source>Dyn. Atmos. Ocean.</source> <volume>98</volume>, <fpage>101288</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.dynatmoce.2022.101288</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hamlington</surname> <given-names>B. D.</given-names>
</name>
<name>
<surname>Cheon</surname> <given-names>S. H.</given-names>
</name>
<name>
<surname>Thompson</surname> <given-names>P. R.</given-names>
</name>
<name>
<surname>Merrifield</surname> <given-names>M. A.</given-names>
</name>
<name>
<surname>Nerem</surname> <given-names>R. S.</given-names>
</name>
<name>
<surname>Leben</surname> <given-names>R. R.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>An ongoing shift in pacific ocean sea level</article-title>. <source>J. Geophys. Res. Ocean.</source> <volume>121</volume>, <fpage>5084</fpage>&#x2013;<lpage>5097</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/2016JC011815</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hamlington</surname> <given-names>B. D.</given-names>
</name>
<name>
<surname>Gardner</surname> <given-names>A. S.</given-names>
</name>
<name>
<surname>Ivins</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Lenaerts</surname> <given-names>J. T. M.</given-names>
</name>
<name>
<surname>Reager</surname> <given-names>J. T.</given-names>
</name>
<name>
<surname>Trossman</surname> <given-names>D. S.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Understanding of contemporary regional Sea-level change and the implications for the future</article-title>. <source>Rev. Geophys.</source> <volume>58 </volume>(<issue>3</issue>), <elocation-id>e2019RG000672</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2019RG000672</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Han</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Meehl</surname> <given-names>G. A.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Alexander</surname> <given-names>M. A.</given-names>
</name>
<name>
<surname>Yamagata</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Yuan</surname> <given-names>D.</given-names>
</name>
<etal/>
</person-group>. (<year>2014</year>). <article-title>Intensification of decadal and multi-decadal sea level variability in the western tropical pacific during recent decades</article-title>. <source>Clim. Dyn.</source> <volume>43</volume>, <fpage>1357</fpage>&#x2013;<lpage>1379</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s00382-013-1951-1</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname> <given-names>N. E.</given-names>
</name>
<name>
<surname>Shen</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Long</surname> <given-names>S. R.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>M. C.</given-names>
</name>
<name>
<surname>Snin</surname> <given-names>H. H.</given-names>
</name>
<name>
<surname>Zheng</surname> <given-names>Q.</given-names>
</name>
<etal/>
</person-group>. (<year>1998</year>). <article-title>The empirical mode decomposition and the Hubert spectrum for nonlinear and non-stationary time series analysis</article-title>. <source>Proc. R. Soc A Math. Phys. Eng. Sci.</source> <volume>454</volume>, <fpage>903</fpage>&#x2013;<lpage>995</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1098/rspa.1998.0193</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname> <given-names>N. E.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>Z.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>A review on Hilbert-Huang transform: Method and its applications to geophysical studies</article-title>. <source>Rev. Geophys.</source> <volume>46</volume> (<issue>2</issue>), <fpage>RG2006</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2007RG000228</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jeong</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Nam</surname> <given-names>S. H.</given-names>
</name>
<name>
<surname>Kwon</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Uppara</surname> <given-names>U.</given-names>
</name>
<name>
<surname>Jo</surname> <given-names>Y. H.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Surface warming slowdown with continued subsurface warming in the East Sea (Japan Sea) over recent decades, (2000&#x2013;2014)</article-title>. <source>Front. Mar. Sci.</source> <volume>9</volume>. doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2022.825368</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname> <given-names>T.</given-names>
</name>
<name>
<surname>McPhaden</surname> <given-names>M. J.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Decadal phase change in large-scale sea level and winds in the indo-pacific region at the end of the 20th century</article-title>. <source>Geophys. Res. Lett.</source> <volume>35</volume> (<issue>1</issue>), <fpage>L01605</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2007GL032419</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lyu</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Church</surname> <given-names>J. A.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Yu</surname> <given-names>J. Y.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Distinguishing the quasi-decadal and multidecadal sea level and climate variations in the pacific: Implications for the ENSO-like low-frequency variability</article-title>. <source>J. Clim.</source> <volume>30</volume>, <fpage>5097</fpage>&#x2013;<lpage>5117</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/JCLI-D-17-0004.1</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mcgregor</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Gupta</surname> <given-names>A.S.</given-names>
</name>
<name>
<surname>England</surname> <given-names>M. H.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Constraining wind stress products with sea surface height observations and implications for pacific ocean sea level trend attribution</article-title>. <source>J. Clim.</source> <volume>25</volume>, <fpage>8164</fpage>&#x2013;<lpage>9176</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/JCLI-D-12-00105.1</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Meehl</surname> <given-names>G. A.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Arblaster</surname> <given-names>J. M.</given-names>
</name>
<name>
<surname>Fasullo</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Trenberth</surname> <given-names>K. E.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Externally forced and internally generated decadal climate variability associated with the interdecadal pacific oscillation</article-title>. <source>J. Clim.</source> <volume>26</volume>, <fpage>7298</fpage>&#x2013;<lpage>7310</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/JCLI-D-12-00548.1</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Meng</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Zhuang</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Ditri</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Yan</surname> <given-names>X. H.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Decadal sea level variability in the pacific ocean: Origins and climate mode contributions</article-title>. <source>J. Atmos. Ocean. Technol.</source> <volume>36</volume>, <fpage>689</fpage>&#x2013;<lpage>698</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/JTECH-D-18-0159.1</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Merrifield</surname> <given-names>M. A.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>A shift in western tropical pacific sea level trends during the 1990s</article-title>. <source>J. Clim.</source> <volume>24</volume>, <fpage>4126</fpage>&#x2013;<lpage>4138</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/2011JCLI3932.1</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Mitchum</surname> <given-names>G. T.</given-names>
</name>
<name>
<surname>Nerem</surname> <given-names>R. S.</given-names>
</name>
<name>
<surname>Merrifield</surname> <given-names>M. A.</given-names>
</name>
<name>
<surname>Gehrels</surname> <given-names>W. R.</given-names>
</name>
</person-group> (<year>2010</year>). &#x201c;<article-title>Modern Sea-Level-Change estimates</article-title>,&#x201d; in <source>Understanding Sea-level rise and variability</source>, <fpage>122</fpage>&#x2013;<lpage>142</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/9781444323276.ch5</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moon</surname> <given-names>J. H.</given-names>
</name>
<name>
<surname>Song</surname> <given-names>Y. T.</given-names>
</name>
<name>
<surname>Bromirski</surname> <given-names>P. D.</given-names>
</name>
<name>
<surname>Miller</surname> <given-names>A. J.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Multidecadal regional sea level shifts in the pacific over 1958-2008</article-title>. <source>J. Geophys. Res. Ocean.</source> <volume>118</volume>, <fpage>7024</fpage>&#x2013;<lpage>7035</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/2013JC009297</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moon</surname> <given-names>J. H.</given-names>
</name>
<name>
<surname>Song</surname> <given-names>Y. T.</given-names>
</name>
<name>
<surname>Lee</surname> <given-names>H. K.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>PDO and ENSO modulations intensified decadal sea level variability in the tropical pacific</article-title>. <source>J. Geophys. Res. Ocean.</source> <volume>120</volume>, <fpage>8229</fpage>&#x2013;<lpage>8237</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/2015JC011139</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nicholls</surname> <given-names>R. J.</given-names>
</name>
<name>
<surname>Lincke</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Hinkel</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Brown</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Vafeidis</surname> <given-names>A. T.</given-names>
</name>
<name>
<surname>Meyssignac</surname> <given-names>B.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>A global analysis of subsidence, relative sea-level change and coastal flood exposure</article-title>. <source>Nat. Clim. Change</source> <volume>11</volume>, <fpage>338</fpage>&#x2013;<lpage>342</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/s41558-021-00993-z</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nidheesh</surname> <given-names>A. G.</given-names>
</name>
<name>
<surname>Lengaigne</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Vialard</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Unnikrishnan</surname> <given-names>A. S.</given-names>
</name>
<name>
<surname>Dayan</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Decadal and long-term sea level variability in the tropical indo-pacific ocean</article-title>. <source>Clim. Dyn.</source> <volume>41</volume>, <fpage>381</fpage>&#x2013;<lpage>402</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s00382-012-1463-4</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Oppenheimer</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Glavovic</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Hinkel</surname> <given-names>J.</given-names>
</name>
<name>
<surname>de Wal</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Magnan</surname> <given-names>A. K.</given-names>
</name>
<name>
<surname>Abd-Elgawad</surname> <given-names>A.</given-names>
</name>
<etal/>
</person-group>. (<year>2019</year>). <source>Sea Level rise and implications for low-lying islands, coasts and communities, IPCC special report on the ocean and cryosphere in a changing climate</source> Vol. <volume>355</volume>. Eds. <person-group person-group-type="editor">
<name>
<surname>P&#xf6;rtner</surname> <given-names>H.-O.</given-names>
</name>
<name>
<surname>Roberts</surname> <given-names>D. C.</given-names>
</name>
</person-group> (<publisher-name>Intergov. Panel Clim. Chang</publisher-name>). Available at: <uri xlink:href="https://www.ipcc.ch/site/assets/uploads/sites/3/2019/11/SROCC_Ch04-SM_FINAL.pdf">https://www.ipcc.ch/site/assets/uploads/sites/3/2019/11/SROCC_Ch04-SM_FINAL.pdf</uri>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Palanisamy</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Cazenave</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Delcroix</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Meyssignac</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Spatial trend patterns in the pacific ocean sea level during the altimetry era: the contribution of thermocline depth change and internal climate variability</article-title>. <source>Ocean Dyn.</source> <volume>65</volume>, <fpage>341</fpage>&#x2013;<lpage>356</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s10236-014-0805-7</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ren</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Zheng</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Duan</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>R.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Asymmetry of interannual Sea level variability in the Western tropical pacific: Responses to El ni&#xf1;o and la ni&#xf1;a</article-title>. <source>J. Geophys. Res. Ocean.</source> <volume>125</volume> (<issue>10</issue>), <elocation-id>e2020JC016616</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2020JC016616</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stammer</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Cazenave</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Ponte</surname> <given-names>R. M.</given-names>
</name>
<name>
<surname>Tamisiea</surname> <given-names>M. E.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Causes for contemporary regional sea level changes</article-title>. <source>Ann. Rev. Mar. Sci.</source> <volume>5</volume>, <fpage>21</fpage>&#x2013;<lpage>46</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1146/annurev-marine-121211-172406</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sullivan</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Luo</surname> <given-names>J. J.</given-names>
</name>
<name>
<surname>Hirst</surname> <given-names>A. C.</given-names>
</name>
<name>
<surname>Bi</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Cai</surname> <given-names>W.</given-names>
</name>
<name>
<surname>He</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Robust contribution of decadal anomalies to the frequency of central-pacific El ni&#xf1;o</article-title>. <source>Sci. Rep.</source> <volume>6</volume>, <fpage>38540</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/srep38540</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Kucharski</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Jin</surname> <given-names>F. F.</given-names>
</name>
<name>
<surname>Kang</surname> <given-names>I. S.</given-names>
</name>
<name>
<surname>Ding</surname> <given-names>R.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Western Tropical pacific multidecadal variability forced by the Atlantic multidecadal oscillation</article-title>. <source>Nat. Commun.</source> <volume>8</volume>, <fpage>15998</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/ncomms15998</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Taburet</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Sanchez-Roman</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Ballarotta</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Pujol</surname> <given-names>M. I.</given-names>
</name>
<name>
<surname>Legeais</surname> <given-names>J. F.</given-names>
</name>
<name>
<surname>Fournier</surname> <given-names>F.</given-names>
</name>
<etal/>
</person-group>. (<year>2019</year>). <article-title>DUACS DT2018: 25 years of reprocessed sea level altimetry products</article-title>. <source>Ocean Sci.</source> <volume>15</volume>, <fpage>1207</fpage>&#x2013;<lpage>1224</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.5194/os-15-1207-2019</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Timmermann</surname> <given-names>A.</given-names>
</name>
<name>
<surname>McGregor</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Jin</surname> <given-names>F. F.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Wind effects on past and future regional sea level trends in the southern indo-pacific</article-title>. <source>J. Clim.</source> <volume>23</volume>, <fpage>4429</fpage>&#x2013;<lpage>4437</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/2010JCLI3519.1</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wenzel</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Schr&#xf6;ter</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Global and regional sea level change during the 20th century</article-title>. <source>J. Geophys. Res. Ocean.</source> <volume>119</volume>, <fpage>7493</fpage>&#x2013;<lpage>7508</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/2014JC009900</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>N. E.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Ensemble empirical mode decomposition: A noise-assisted data analysis method</article-title>. <source>Adv. Adapt. Data Anal.</source> <volume>1</volume>, <fpage>1</fpage>&#x2013;<lpage>41</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1142/S1793536909000047</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>N. E.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>X.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>The multi-dimensional ensemble empirical mode decomposition method</article-title>. <source>Adv. Adapt. Data Anal.</source> <volume>1</volume>, <fpage>339</fpage>&#x2013;<lpage>372</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1142/S1793536909000187</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Church</surname> <given-names>J. A.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Sea Level trends, interannual and decadal variability in the pacific ocean</article-title>. <source>Geophys. Res. Lett.</source> <volume>39</volume>, <fpage>L21701</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2012GL053240</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>