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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">866241</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.866241</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Atlantic Multidecadal Oscillation Modulates the Relation of ENSO With the Precipitation in the Central-Western Indian Ocean</article-title>
<alt-title alt-title-type="left-running-head">Zhao et al.</alt-title>
<alt-title alt-title-type="right-running-head">AMO Modulates the ENSO-CWIP Relationship</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Chiyu</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/1709370/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Geng</surname>
<given-names>Xin</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="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1457625/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qi</surname>
<given-names>Li</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/1480088/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>CIC-FEMD/ILCEC, Key Laboratory of Meteorological Disaster of Ministry of Education (KLME)</institution>, <institution>Nanjing University of Information Science and Technology</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Atmospheric Sciences</institution>, <institution>Nanjing University of Information Science and Technology</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Shaoxing Meteorological Burea</institution>, <addr-line>Shaoxing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1333561/overview">Hong-Li Ren</ext-link>, Chinese Academy of Meteorological Sciences, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/284018/overview">Youichi Kamae</ext-link>, University of Tsukuba, Japan</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1549737/overview">Sen Zhao</ext-link>, University of Hawaii at Manoa, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Xin Geng, <email>gengxin@nuist.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Atmospheric Science, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>31</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>866241</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Zhao, Geng and Qi.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zhao, Geng and Qi</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>It is well known that the El Ni&#xf1;o-Southern Oscillation (ENSO) could affect the precipitation anomalies in the central-western Indian Ocean (CWIP) through modifying the Walker circulation, with an El Ni&#xf1;o generally accompanied by an enhanced CWIP. In this study, we find that this positive association is modulated by the Atlantic Multidecadal Oscillation (AMO). When ENSO and AMO are out-of-phase combinations (i.e., AMO-/El Ni&#xf1;o and AMO&#x2b;/La Ni&#xf1;a), the CWIP is significantly stronger than that when they are in-phase cooperated. It is suggested that the AMO&#x2019;s modulating effect mainly comprises two pathways that influence ENSO&#x2019;s linkage with the CWIP. On one hand, AMO could modulate the SST variability in the central-eastern tropical Pacific with a stronger ENSO SST amplitude during its negative phase, thus influencing the ENSO-CWIP relationship. On the other hand, AMO is associated with a multidecadal atmospheric variation in the Walker circulation. The weakened circulation during the negative AMO phase favors an anomalous ascending flow over the central-western Indian Ocean, thereby favoring an enhanced CWIP there. Therefore, El Ni&#xf1;o is accompanied by a more pronounced CWIP during the negative AMO phase compared to that during a positive AMO phase. For La Ni&#xf1;a episodes, however, these two pathways have opposite modulation effects. Although AMO&#x2b;/La Ni&#xf1;a is weaker than AMO-/La Ni&#xf1;a, the accompanied CWIP is relatively stronger as an multidecadal dry background induced by the Atlantic warming reinforces the negative CWIP anomaly generated by La Ni&#xf1;a. We here highlight that the AMO decadal forcing needs to be considered when investigating the Indian Ocean atmospheric variabilities during ENSO events.</p>
</abstract>
<kwd-group>
<kwd>enso</kwd>
<kwd>Indian ocean precipitation</kwd>
<kwd>walker circulation</kwd>
<kwd>atlantic multidecadal oscillation</kwd>
<kwd>teleconnection</kwd>
</kwd-group>
<contract-num rid="cn001">42088101 41905073</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>As the predominant year-to-year climate variability on the planet, El Ni&#xf1;o-Southern Oscillation (ENSO) arises through the coupled air-sea interactions in the tropical Pacific. Although rooted in the tropical Pacific, ENSO can lead to global atmospheric circulation and patterns of climate variability worldwide (e.g., <xref ref-type="bibr" rid="B48">van Loon and Madden, 1981</xref>; <xref ref-type="bibr" rid="B35">Ropelewski and Halpert, 1987</xref>; <xref ref-type="bibr" rid="B45">Trenberth et al., 1998</xref>; <xref ref-type="bibr" rid="B46">Trenberth and Caron, 2000</xref>; <xref ref-type="bibr" rid="B32">McPhaden et al., 2006</xref>). When El Ni&#xf1;o events occur, the atmospheric anomalies are first felt in the tropical Pacific. The warm sea surface temperature (SST) anomalies cause the edge of the Pacific warm pool extending eastward, leading to a reorganization of tropical atmospheric convection with the heating source moving farther east of its normal position. Thus, anomalous ascending motions and wet conditions occur in the central-eastern Pacific, while subsidence and precipitation deficits emerge in the west, weakening the Walker circulation (<xref ref-type="bibr" rid="B35">Ropelewski and Halpert, 1987</xref>). These reorganizations of the Walker circulation and atmospheric convection are further responsible for generating remote atmospheric or SST teleconnections (e.g., <xref ref-type="bibr" rid="B22">Klein et al., 1999</xref>; <xref ref-type="bibr" rid="B24">Lau and Nath, 2003</xref>). For example, the eastward shift of the Walker cell during El Ni&#xf1;o events induces anomalous subsidence over the central-western Indian Ocean (<xref ref-type="bibr" rid="B45">Trenberth et al., 1998</xref>; <xref ref-type="bibr" rid="B57">Xie et al., 2016</xref>; <xref ref-type="bibr" rid="B51">Wang, 2019</xref>), reducing precipitation and cloudiness there with anticyclonic anomalies, which contribute to increasing SST with a warm Indian Ocean basin mode (IOBM) pattern through both enhanced downward solar and reduced latent upward heat fluxes (<xref ref-type="bibr" rid="B22">Klein et al., 1999</xref>; <xref ref-type="bibr" rid="B24">Lau and Nath, 2003</xref>; <xref ref-type="bibr" rid="B44">Tokinaga and Tanimoto, 2004</xref>).</p>
<p>However, observations have shown that ENSO teleconnections exhibit considerable multi-scale spatio-temporal variabilities (e.g., <xref ref-type="bibr" rid="B50">Wang et al., 2000</xref>; <xref ref-type="bibr" rid="B30">Mariotti et al., 2002</xref>; <xref ref-type="bibr" rid="B5">Chen et al., 2014</xref>; <xref ref-type="bibr" rid="B16">Geng et al., 2017</xref>; <xref ref-type="bibr" rid="B15">2020</xref>). For instance, the anomalous western North Pacific (WNP) anticyclone, which bridges ENSO and the East Asian monsoon, is detected to have been weakened since the mid-1990s (<xref ref-type="bibr" rid="B5">Chen et al., 2014</xref>; <xref ref-type="bibr" rid="B15">Geng et al., 2020</xref>). The decadal variations in ENSO teleconnections are demonstrated to be closely associated with the change of ENSO properties modulated by interdecadal natural variabilities (e.g., <xref ref-type="bibr" rid="B29">Lu and Dong, 2008</xref>; <xref ref-type="bibr" rid="B62">Zhang et al., 2014</xref>; <xref ref-type="bibr" rid="B15">Geng et al., 2020</xref>). It is argued that the Pacific Decadal Oscillation (PDO) could play some role in modulating ENSO decadal behaviors (<xref ref-type="bibr" rid="B13">Fedorov and Philander, 2000</xref>, <xref ref-type="bibr" rid="B12">2001</xref>; <xref ref-type="bibr" rid="B49">Verdon and Franks, 2006</xref>; <xref ref-type="bibr" rid="B23">Kravtsov, 2012</xref>; <xref ref-type="bibr" rid="B6">Chung and Li, 2013</xref>) and thus modifying ENSO teleconnections (<xref ref-type="bibr" rid="B14">Feng et al., 2014</xref>; <xref ref-type="bibr" rid="B54">Watanabe and Yamazaki, 2014</xref>; <xref ref-type="bibr" rid="B27">Liu et al., 2021</xref>). However, these viewpoints are challenged by the argument that the Pacific multidecadal mean state changes could result from averaging over the skewed ENSO system (<xref ref-type="bibr" rid="B36">Schopf and Burgman, 2006</xref>) and thus a substantial fraction of the PDO signal may be caused by ENSO (<xref ref-type="bibr" rid="B1">Alexander et al., 2002</xref>; <xref ref-type="bibr" rid="B33">Newman et al., 2003</xref>; <xref ref-type="bibr" rid="B52">Wang et al., 2012</xref>; <xref ref-type="bibr" rid="B7">Di Lorenzo et al., 2015</xref>).</p>
<p>As the basin-wide SST mode in the North Atlantic region with a period of 60&#x2013;80 years, the Atlantic Multidecadal Oscillation (AMO) has also been widely proposed as an important forcing modulating ENSO&#x2019;s decadal variabilities (<xref ref-type="bibr" rid="B10">Dong et al., 2006</xref>; <xref ref-type="bibr" rid="B9">Dong and Sutton, 2007</xref>; <xref ref-type="bibr" rid="B20">Kang et al., 2014</xref>; <xref ref-type="bibr" rid="B60">Yu et al., 2015</xref>; <xref ref-type="bibr" rid="B25">Levine et al., 2017</xref>; <xref ref-type="bibr" rid="B53">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="B3">Cai et al., 2019</xref>; <xref ref-type="bibr" rid="B51">Wang, 2019</xref>). A multidecadal Atlantic warming is associated with strengthened Walker circulation and trade winds in the western and central tropical Pacific. This background change is conducive to a deepened thermocline and weakened vertical stratification in the equatorial Pacific, which weakens the coupled instability via which ENSO events grow (<xref ref-type="bibr" rid="B61">Zebiak and Cane, 1987</xref>; <xref ref-type="bibr" rid="B18">Jin et al., 2006</xref>), thus reducing the ENSO SST amplitude (<xref ref-type="bibr" rid="B10">Dong et al., 2006</xref>; <xref ref-type="bibr" rid="B9">Dong and Sutton, 2007</xref>; <xref ref-type="bibr" rid="B43">Timmermann et al., 2007</xref>; <xref ref-type="bibr" rid="B26">Li et al., 2016</xref>; <xref ref-type="bibr" rid="B25">Levine et al., 2017</xref>; <xref ref-type="bibr" rid="B17">Gong et al., 2020</xref>). In addition, there may also exists a physical linkage between the North Atlantic warming and the zonal structure change of El Ni&#xf1;o SST anomalies (<xref ref-type="bibr" rid="B60">Yu et al., 2015</xref>). Correspondingly, ENSO teleconnections are also found to be modulated by the AMO through modifying the amplitude or zonal structure of ENSO SST anomalies (e.g., <xref ref-type="bibr" rid="B29">Lu and Dong., 2008</xref>; <xref ref-type="bibr" rid="B5">Chen et al., 2014</xref>; <xref ref-type="bibr" rid="B16">Geng et al., 2017</xref>, <xref ref-type="bibr" rid="B15">2020</xref>).</p>
<p>Although previous studies have demonstrated that ENSO could affect the central-western Indian Ocean precipitation (CWIP), but the nonstationary features of this teleconnection have not been sufficiently elucidated. In particular, previous studies have revealed that ENSO amplitude and spatial pattern is modulated by the AMO forcing on decadal time scales (e.g., <xref ref-type="bibr" rid="B10">Dong et al., 2006</xref>; <xref ref-type="bibr" rid="B20">Kang et al., 2014</xref>; <xref ref-type="bibr" rid="B17">Gong et al., 2020</xref>), it is interesting to explore whether the relation of ENSO with the CWIP is modulated by the AMO. Because of a larger amplitude of ENSO SST anomaly in the negative AMO phase, the CWIP anomaly during ENSO mature winters is expected to be stronger than those in the positive phase. However, in this paper, we find that the intensity of CWIP anomaly during ENSO winters is not necessarily consistent with the decadal amplitude changes in the ENSO SST anomaly. This mismatch between ENSO SST and CWIP anomaly can be largely attributed to AMO&#x2019;s another modulating pathway through generating a multidecadal atmospheric variation in the Walker circulation. In the remainder of this paper, <italic>Data and Methodology</italic> describes the utilized datasets, methodologies, and model simulations. In <italic>The Relation of ENSO With the CWIP Modulated by AMO</italic>, we explore the modulation effect of the relation between ENSO and CWIP by the AMO. Next, based on observations and a suit of idealized pacemaker experiments from a coupled general circulation model (CGCM), the possible mechanisms that can explain this AMO modulation effect are presented in <italic>Possible Mechanisms</italic>. <italic>Conclusion and Discussion</italic> presents the main conclusion discussions.</p>
</sec>
<sec id="s2">
<title>Data and Methodology</title>
<sec id="s2-1">
<title>Datasets</title>
<p>We primarily utilize monthly datasets (1948&#x2013;2019) in this work. Global SST is derived from the National Oceanic and Atmospheric Administration (NOAA) Extended Reconstructed SST analysis, version 3 (ERSST, <xref ref-type="bibr" rid="B38">Smith et al., 2008</xref>). Atmospheric circulations are analyzed based on the National Centers for the Environmental Prediction/National Center for the Atmospheric Research (NCEP/NCAR) reanalysis data (<xref ref-type="bibr" rid="B19">Kalnay et al., 1996</xref>). The precipitation anomalies are examined using the NOAA&#x2019;s precipitation reconstruction dataset (PREC) (<xref ref-type="bibr" rid="B4">Chen et al., 2002</xref>). To further test our results, we also utilize the atmospheric circulations from the NOAA-CIRES-DOE 20th Century Reanalysis version 3 (20CRv3) (<xref ref-type="bibr" rid="B37">Slivinski et al., 2019</xref>) and the precipitation provided by the Climate Prediction Center (CPC) Merged Analysis of Precipitation (CMAP) (<xref ref-type="bibr" rid="B55">Xie et al., 1997</xref>). The horizontal spatial resolutions are 2 &#xd7; 2&#xb0; for the SST dataset and 2.5 &#xd7; 2.5&#xb0; for the atmospheric circulation and precipitation datasets, respectively.</p>
</sec>
<sec id="s2-2">
<title>Methodologies</title>
<p>Several climatic indices are used to facilitate our analysis. We define an AMO index as the area-averaged SST anomalies within the domain of 0&#xb0;&#x2013;60&#xb0;N and 0&#xb0;&#x2013;80&#xb0;W (<xref ref-type="bibr" rid="B47">Trenberth and Shea, 2006</xref>). A 10-year low-pass fast Fourier transform (FFT) filter is utilized to extract its inherent decadal variability (conclusion does not change when other filters, such as 9- and 11-year low-pass filters, is used). Based on the time evolution of the AMO index, we select the 1948&#x2013;1967 and 1998&#x2013;2018 periods as positive AMO phases and the 1968&#x2013;1997 period as a negative AMO phase according to the filtered AMO index. The Ni&#xf1;o-3.4 index, which is calculated as the area-averaged SST anomalies in the Ni&#xf1;o-3.4 region (5&#xb0;S&#x2013;5&#xb0;N, 120&#xb0;&#x2013;170&#xb0;W), is adopted to describe ENSO intensity. Following conventions, ENSO events are defined by a threshold of &#xb1;0.5 standard deviation of the Ni&#xf1;o-3.4 index during the boreal winter season (December-February: DJF). With this method, we can identify 23&#xa0;El Ni&#xf1;o and 26 La Ni&#xf1;a events (<xref ref-type="table" rid="T1">Table 1</xref>). Note that all the datasets are analyzed for the boreal winter season (December-February: DJF) and the winter of 1948 represents December 1948-February 1949. All the above indices are normalized before our investigations. The linear trends have been removed from all anomalies to avoid possible interferences associated with the long-term trend. Statistical significance tests are all performed based on the two-tailed Student&#x2019;s <italic>t</italic> test. It should be mentioned that the filtered decadal data are highly autocorrelated and thus the effective number of degrees of freedom, <italic>N</italic>
<sup>
<italic>eff</italic>
</sup>, is adjusted and calculated as:<disp-formula id="equ1">
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<mml:mi>N</mml:mi>
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<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
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<mml:mi>N</mml:mi>
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<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>where <italic>N</italic> is the sample size and <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
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</inline-formula> and <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
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</inline-formula> are the autocorrelations of two sampled time series at time lag-<inline-formula id="inf3">
<mml:math id="m4">
<mml:mi>j</mml:mi>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B34">Pyper and Peterman, 1998</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>El Ni&#xf1;o and La Ni&#xf1;a events for the 1948&#x2013;2018 period.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">El Ni&#xf1;o events</th>
<th align="center">La Ni&#xf1;a events</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1951, 1953, 1957, 1958, 1963, 1965, 1968, 1969, 1972, 1976, 1977, 1982, 1986, 1987, 1991, 1994, 1997, 2002, 2004, 2006, 2009, 2015, 2018</td>
<td align="center">1949, 1950, 1954, 1955, 1964, 1967, 1970, 1971, 1973, 1974, 1975, 1984, 1988, 1995, 1998, 1999, 2000, 2005, 2007, 2008, 2010, 2011, 2012, 2013, 2016, 2017</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>Model Simulations</title>
<p>Due to the relatively short observational period, we further verify our hypotheses by employing the idealized Atlantic Multidecadal Variability (AMV, referred to as the Atlantic Multidecadal Oscillation or AMO in this paper) pacemaker simulations with the Earth System coupled climate model EC-Earth3 (EC-Earth3; <xref ref-type="bibr" rid="B11">D&#xf6;scher et al., 2021</xref>), which were performed as part of the Decadal Climate Prediction Project (DCPP). Following the DCPP-C protocol (<xref ref-type="bibr" rid="B2">Boer et al., 2016</xref>), two sets of ensemble simulations have been performed, in which time-invariant SST anomalies corresponding to the warm (AMO&#x2b;) and cold (AMO-) phases of the observed AMO were imposed upon the 12-months model climatology over the North Atlantic (from 10&#xb0; to 65&#xb0;N) using SST nudging. The model is allowed to evolve freely outside this target region. An 8&#xb0;-wide buffer zone is applied at the edge of the nudging area to minimize shocks and to suppress instabilities due to artificial SST gradients. All the external forcings are set to their preindustrial values. An ensemble of 32 members is conducted for each AMO phase and each realization is integrated over a 10-year period. The first 11&#xa0;months of integration are considered as a spin-up period and are discarded for the current analysis. We can thus obtain 9 winters in each ensemble of the simulations. More extensive description of the experimental protocol is provided in the technical note for AMV DCPP-C simulations: <ext-link ext-link-type="uri" xlink:href="https://www.wcrpclimate.org/wgsip/documents/Tech-Note-1.pdf">https://www.wcrpclimate.org/wgsip/documents/Tech-Note-1.pdf</ext-link>. We note that, when calculating anomalies in this suit of model simulations, the average of AMO&#x2b; and AMO- experiments for each realization is considered as the corresponding reference state. If the DJF SST departure from the reference state is greater than 0.5&#xb0;C or less than &#x2212;0.5&#xb0;C, we define it as an ENSO winter.</p>
</sec>
</sec>
<sec id="s3">
<title>The Relation of ENSO With the CWIP Modulated by AMO</title>
<p>We first display the regressed precipitation and atmospheric anomalies onto the DJF Ni&#xf1;o-3.4 index from 1948 to 2018 in <xref ref-type="fig" rid="F1">Figure 1</xref>. It can be seen that an El Ni&#xf1;o winter is accompanied by anomalous ascending flows in the central-eastern tropical Pacific and in the western tropical Indian Ocean. And the western tropical Pacific is controlled by an evident descending flow (<xref ref-type="fig" rid="F1">Figure 1B</xref>). This Walker circulation reorganization leads to low-level easterly wind anomalies over the tropical Indian Ocean, causing enhanced precipitation in the central-western part of the Ocean (<xref ref-type="fig" rid="F1">Figure 1A</xref>). To show the temporal variability, we define a CWIP index as the area-average precipitation anomalies in the region of 30&#xb0;S-6&#xb0;N, 50&#xb0;E-90&#xb0;E and then display its time evolution with the Ni&#xf1;o-3.4 index in <xref ref-type="fig" rid="F2">Figure 2</xref>. It is clear that the CWIP index exhibits conspicuous interannual variability, which is significantly correlated the Ni&#xf1;o-3.4 index. Their temporal correlation coefficient reaches up to 0.50 (exceeding the 99% confidence level), suggesting that the CWIP intensity is positively proportional to the ENSO SST amplitude. These results are in well agreements with many previous studies (e.g., <xref ref-type="bibr" rid="B56">Xie et al., 2002</xref>; <xref ref-type="bibr" rid="B21">Kao and Yu, 2009</xref>; <xref ref-type="bibr" rid="B28">Liu and Alexander, 2007</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Regressed DJF anomalous <bold>(A)</bold> 850-hPa wind (vectors in m&#xa0;s<sup>&#x2212;1</sup>), precipitation (shading in mm&#xa0;day<sup>&#x2212;1</sup>), <bold>(B)</bold> Walker circulation and vertical velocity (shading in Pa&#xa0;s<sup>&#x2212;1</sup>) onto the Ni&#xf1;o-3.4 index for the 1948&#x2013;2018 period. Note that the vertical velocity anomalies are multiplied by a factor of -100 for better visualization. The magenta box outlines the domain used as the definition of the CWIP index. The precipitation, 850-hPa wind and vertical velocity anomalies are only displayed when they are significant at the 90% confidence level.</p>
</caption>
<graphic xlink:href="feart-10-866241-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Time evolution of the DJF Ni&#xf1;o-3.4 (bar) and CWIP (green curve) indices for the 1948&#x2013;2018 period. The correlation coefficient (R) is also displayed and is significant at the 99% confidence level.</p>
</caption>
<graphic xlink:href="feart-10-866241-g002.tif"/>
</fig>
<p>Previous studies have suggested that ENSO SST amplitude shows considerable decadal variations and is significantly modulated by the AMO. ENSO events during the negative AMO phase are generally stronger than those during the positive phase (e.g., <xref ref-type="bibr" rid="B10">Dong et al., 2006</xref>; <xref ref-type="bibr" rid="B20">Kang et al., 2014</xref>; <xref ref-type="bibr" rid="B17">Gong et al., 2020</xref>). Thus, it is compelling to expect that the CWIP anomaly in ENSO winters is stronger during the AMO negative phase. To verify this hypothesis, we first categorize the ENSO events into four types according to the AMO phase, that is, El Ni&#xf1;o events with a positive AMO phase (AMO&#x2b;/El Ni&#xf1;o), El Ni&#xf1;o events with a negative AMO phase (AMO-/El Ni&#xf1;o), La Ni&#xf1;a events with a positive AMO phase (AMO&#x2b;/La Ni&#xf1;a), and La Ni&#xf1;a events with a negative AMO phase (AMO-/La Ni&#xf1;a) (<xref ref-type="table" rid="T2">Table 2</xref>). And then display the composite SST (<xref ref-type="fig" rid="F3">Figure 3</xref>) and precipitation (<xref ref-type="fig" rid="F5">Figure 5</xref>) anomalies for these four cases. It can be seen that, compared with those during the positive AMO phase, both El Ni&#xf1;o and La Ni&#xf1;a events during the negative AMO phase mature with weaker SST anomalies in the central-eastern tropical Pacific. The composite Ni&#xf1;o-3.4 indices in AMO&#x2b;/El Ni&#xf1;o, AMO-/El Ni&#xf1;o, AMO&#x2b;/La Ni&#xf1;a and AMO-/La Ni&#xf1;a winters are 1.05, 1.28, &#x2212;0.95 and &#x2212;1.11, respectively (<xref ref-type="fig" rid="F4">Figure 4</xref>), consistent well with previous studies (<xref ref-type="bibr" rid="B10">Dong et al., 2006</xref>; <xref ref-type="bibr" rid="B20">Kang et al., 2014</xref>; <xref ref-type="bibr" rid="B17">Gong et al., 2020</xref>). In accordance with this decadal amplitude change in ENSO SST anomaly due to AMO modulation, we speculate that the accompanied CWIP anomaly during ENSO winters exhibit similar intensity difference. However, an unexpected result is obtained when checking the composite precipitation anomalies (<xref ref-type="fig" rid="F5">Figure 5</xref>). For El Ni&#xf1;o episodes, the DJF CWIP anomalies are more pronounced during the negative AMO phase compared to those during the positive phase. The composite CWIP indices for the AMO&#x2b;/El Ni&#xf1;o and AMO-/El Ni&#xf1;o cases are 0.27 and 0.79 respectively (<xref ref-type="fig" rid="F9">Figure 9</xref>), corresponding well to ENSO SST amplitude difference for these two cases. In contrast, La Ni&#xf1;a winters during the negative AMO phase are accompanied by a weaker CWIP (<xref ref-type="fig" rid="F5">Figures 5C,D</xref>), although their Ni&#xf1;o-3.4 SST anomalies are stronger than those during the positive phase (<xref ref-type="fig" rid="F4">Figure 4</xref>). In other words, the intensity difference of the CWIP anomalies does not match the amplitude difference of La Ni&#xf1;a tropical Pacific SST anomalies associated with the AMO modulation.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Category of ENSO events for the 1948&#x2013;2018 period according to the AMO phase.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">AMO&#x2b;/El Ni&#xf1;o</th>
<th align="center">AMO-/El Ni&#xf1;o</th>
<th align="center">AMO&#x2b;/La Ni&#xf1;a</th>
<th align="center">AMO-/La Ni&#xf1;a</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1951, 1953, 1957, 1958, 1963, 1965, 2002, 2004, 2006, 2009, 2015, 2018</td>
<td align="center">1968, 1969, 1972, 1976, 1977, 1982, 1986, 1987, 1991, 1994, 1997</td>
<td align="center">1949, 1950, 1954, 1955, 1964, 1967, 1998, 1999, 2000, 2005, 2007, 2008, 2010, 2011, 2012, 2013, 2016, 2017</td>
<td align="left">1970, 1971, 1973, 1974, 1975, 1984, 1988, 1995</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Composite SST anomalies (shading in&#xb0;C) during the <bold>(A)</bold> AMO&#x2b;/El Ni&#xf1;o, <bold>(B)</bold> AMO-/El Ni&#xf1;o, <bold>(C)</bold> AMO&#x2b;/La Ni&#xf1;a, and <bold>(D)</bold> AMO-/La Ni&#xf1;a boreal winters. The SST anomalies are only displayed when they are significant at the 90% confidence level.</p>
</caption>
<graphic xlink:href="feart-10-866241-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Composite Ni&#xf1;o-3.4 and central-western Indian Ocean SST (30&#xb0;S-6&#xb0;N, 50&#xb0;E-90&#xb0;E) indices during the AMO&#x2b;/El Ni&#xf1;o (red bar), AMO-/El Ni&#xf1;o (blue bar), AMO&#x2b;/La Ni&#xf1;a (magenta bar), and AMO-/La Ni&#xf1;a (green bar) boreal winters. The solid bars indicate the composites exceeding the 90% confidence level. The error bars represent one standard deviation for the indices during four ENSO cases.</p>
</caption>
<graphic xlink:href="feart-10-866241-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Composite 850-hPa wind (vectors in m&#xa0;s<sup>&#x2212;1</sup>) and precipitation (shading in mm&#xa0;day<sup>&#x2212;1</sup>) anomalies during the <bold>(A)</bold> AMO&#x2b;/El Ni&#xf1;o, <bold>(B)</bold> AMO-/El Ni&#xf1;o, <bold>(C)</bold> AMO&#x2b;/La Ni&#xf1;a, and <bold>(D)</bold> AMO-/La Ni&#xf1;a boreal winters. The red box outlines the domain used as the definition of the CWIP index. The wind and precipitation anomalies are only displayed when they are significant at the 90% confidence level.</p>
</caption>
<graphic xlink:href="feart-10-866241-g005.tif"/>
</fig>
<p>Then, to examine the possible roles of local air-sea interaction, the Indian Ocean local SST indices (30&#xb0;S-6&#xb0;N, 50&#xb0;E-90&#xb0;E) during the four cases are also displayed in <xref ref-type="fig" rid="F4">Figure 4</xref>. They show similar features as the Ni&#xf1;o-3.4 indices. The SST anomaly in the tropical Indian Ocean is stronger for AMO-/La Ni&#xf1;a winters, inconsistent with the weaker CWIP anomaly, either. It seems that, apart from via modifying ENSO-related SST amplitudes, AMO may also modulate the relation of ENSO with the CWIP in a different pathway.</p>
</sec>
<sec id="s4">
<title>Possible Mechanisms</title>
<p>Previous studies have shown that the AMO are closely connected with the climate variabilities in Indian Ocean region (e.g., <xref ref-type="bibr" rid="B41">Sun et al., 2019</xref>; <xref ref-type="bibr" rid="B58">Xie et al., 2021</xref>). A positive AMO could generate an anomalous descending flow in the central Indian Ocean via Atlantic-Indian Ocean multidecadal atmospheric teleconnections (<xref ref-type="bibr" rid="B58">Xie et al., 2021</xref>). Therefore, we speculate that there may also exist an atmospheric pathway through which AMO modifies the relation of ENSO with the CWIP. <xref ref-type="fig" rid="F6">Figure 6</xref> shows the regression patterns of DJF precipitation anomalies onto the AMO index. We can see that the precipitation anomalies in tropical Pacific and central-western Indian Ocean are both significantly associated with AMO. A positive AMO favors weakened precipitation anomalies in the central tropical Pacific and in the central-western Indian Ocean, but leads to strengthened precipitation anomalies in the western tropical Pacific. The anomalies are generally reversed during a negative AMO phase.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Regressed DJF 850-hPa wind (vectors in m&#xa0;s<sup>&#x2212;1</sup>) and precipitation (shading in mm&#xa0;day<sup>&#x2212;1</sup>) anomalies onto the AMO index for the 1948&#x2013;2018 period. The red box outlines the domain used as the definition of the CWIP index. The precipitation and 850-hPa wind anomalies are only displayed when they are significant at the 90% confidence level.</p>
</caption>
<graphic xlink:href="feart-10-866241-g006.tif"/>
</fig>
<p>To understand how the AMO physically affects the CWIP multidecadal variability, we display the regression profiles of DJF Walker circulation onto the AMO index in <xref ref-type="fig" rid="F7">Figure 7</xref>. An Atlantic SST warming is accompanied by anomalous ascending flows in the western equatorial Atlantic and western equatorial Pacific regions. Meanwhile, descending flows can be observed over the central-eastern equatorial Pacific and central-western Indian Ocean. As a result of the local descending flows over the central-western Indian Ocean, the CWIP is reduced. These results are well consistent with previous studies (<xref ref-type="bibr" rid="B31">McGregor et al., 2014</xref>; <xref ref-type="bibr" rid="B58">Xie et al., 2021</xref>). Previous studies have demonstrated that the AMO is also positively correlated with the SST anomalies in the WNP region through extratropical inter-basin atmospheric teleconnections (<xref ref-type="bibr" rid="B40">Sun et al., 2017</xref>; <xref ref-type="bibr" rid="B42">2021</xref>). During the positive AMO phase, the induced WNP warming may establish positive feedback with the anomalous Walker circulation, which could also play a role in AMO&#x2019;s influence on the CWIP. This can also explain why we observe a relatively stronger WNP SST anomaly in the AMO-/El Ni&#xf1;o and AMO&#x2b;/La Ni&#xf1;a winters in <xref ref-type="fig" rid="F3">Figure 3</xref>. Nevertheless, by comparing <xref ref-type="fig" rid="F1">Figure 1</xref> with <xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>, we can find that the tropical Walker circulation and CWIP anomalies are significantly associated with both ENSO and AMO. But the impacts seem to be opposite in phase. An El Ni&#xf1;o and a negative AMO favor ascending flows and enhanced precipitation anomalies in the central-western Indian Ocean, while La Ni&#xf1;a events and positive AMO phases are conducive to atmospheric sinking motions and reduced precipitation anomalies there. As a result, compared with those during the positive AMO phase, El Ni&#xf1;o winters during the negative AMO phase are accompanied by more robust ascending motions the precipitation anomalies due to their in-phase impacts (<xref ref-type="fig" rid="F8">Figures 8A,B</xref>). This amplitude difference of the atmospheric anomalies between AMO&#x2b;/El Ni&#xf1;o and AMO-/El Ni&#xf1;o winters are further reinforced because stronger El Ni&#xf1;o events in the negative AMO phase (<xref ref-type="fig" rid="F3">Figures 3A,B</xref>) also leads to more robust ascending motions and stronger CWIP. On the other hand, although La Ni&#xf1;a events in the negative AMO phase are stronger than those in the positive phase (<xref ref-type="fig" rid="F3">Figures 3C,D</xref>), the atmospheric perturbations induced by La Ni&#xf1;a anomalous SST are partly counteracted by the opposite impacts by the remote Atlantic multidecadal forcing, thereby resulting in weaker anomaly amplitudes (<xref ref-type="fig" rid="F8">Figure 8D</xref>). In comparison, AMO&#x2b;/La Ni&#xf1;a winters are accompanied by stronger descending flows and precipitation anomalies in the central-western Indian Ocean due to the in-phase influences from ENSO and AMO SST forcings (<xref ref-type="fig" rid="F8">Figure 8C</xref>). These results suggest that the AMO may exert two different pathways modifying the ENSO-CWIP relationship. While AMO&#x2019;s indirect modulation effect on the relation of ENSO with the CWIP is through modifying the ENSO SST anomaly amplitude, AMO&#x2019;s direct influence is via generating a multidecadal atmospheric variation in the Walker circulation, which leads to the mismatch between intensities of La Ni&#xf1;a anomalous SST and the accompanied CWIP anomaly.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Regressed DJF Walker circulation and vertical velocity (shading in Pa&#xa0;s<sup>&#x2212;1</sup>) anomalies onto the AMO index for the 1948&#x2013;2018 period. Note that the vertical velocity anomalies are multiplied by a factor of &#x2212;100 for better visualization and are displayed only when they are significant at the 90% confidence level.</p>
</caption>
<graphic xlink:href="feart-10-866241-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Composite Walker circulation and vertical velocity (shading in Pa&#xa0;s<sup>&#x2212;1</sup>) anomalies during the <bold>(A)</bold> AMO&#x2b;/El Ni&#xf1;o, <bold>(B)</bold> AMO-/El Ni&#xf1;o, <bold>(C)</bold> AMO&#x2b;/La Ni&#xf1;a, and <bold>(D)</bold> AMO-/La Ni&#xf1;a boreal winters. Note that the anomalous vertical velocity anomalies are multiplied by a factor of &#x2212;100 for better visualization and are displayed only when they are significant at the 90% confidence level.</p>
</caption>
<graphic xlink:href="feart-10-866241-g008.tif"/>
</fig>
<p>We next compare the composite DJF CWIP indices for the four cases based on the original (i.e., observational), single-factor (Ni&#xf1;o-3.4 index) and two-factor (Ni&#xf1;o-3.4 and AMO indices) reconstructed anomalies in <xref ref-type="fig" rid="F9">Figure 9</xref>. When only the Ni&#xf1;o-3.4 index is considered, the reconstructed DJF CWIP anomalies during ENSO events are stronger in the AMO negative phase because of a stronger ENSO SST anomaly amplitude, which is consistent with our observed composite results for El Ni&#xf1;o winters, suggesting a role of AMO&#x2019;s indirect modulation effect via modifying the ENSO SST anomaly amplitude. This effect can be quantificationally expressed by the difference between the AMO&#x2b;/El Ni&#xf1;o and AMO-/El Ni&#xf1;o (or the AMO&#x2b;/La Ni&#xf1;a and AMO-/La Ni&#xf1;a) composites based on this single-factor (Ni&#xf1;o-3.4) reconstructed CWIP index, which are &#x2212;0.11 and &#x2212;0.06 for El Ni&#xf1;o and La Ni&#xf1;a winters, respectively. However, for La Ni&#xf1;a episodes, the single-factor reconstructed composite CWIP indices are inconsistent with the observational results, which indicates that pure ENSO SST impacts cannot explain why the CWIP anomaly in AMO&#x2b;/La Ni&#xf1;a winters is stronger than that in AMO-/La Ni&#xf1;a winters. Only when the AMO decadal influence is considered together can the composite CWIP anomalies for the four ENSO cases show better agreements with the observational results. To quantitatively express this AMO direct decadal modulation, we first subtract the single-factor reconstructed composite CWIP indices from the two-factor reconstructed composite CWIP indices for these four ENSO cases (i.e., &#x2212;0.18, 0.18, &#x2212;0.11, and 0.27 respectively for AMO&#x2b;/El Ni&#xf1;o, AMO-/El Ni&#xf1;o, AMO&#x2b;/La Ni&#xf1;a, and AMO-/La Ni&#xf1;a winters). Then, we calculate the differences between the AMO&#x2b;/El Ni&#xf1;o and AMO-/El Ni&#xf1;o values (or the AMO&#x2b;/La Ni&#xf1;a and AMO-/La Ni&#xf1;a values), which are &#x2212;0.36 and &#x2212;0.38 for El Ni&#xf1;o and La Ni&#xf1;a, respectively. By comparing the direct and indirect AMO effects on the CWIP anomaly during ENSO winters, we further suggest that the AMO&#x2019;s direct decadal modulation pathway through modifying the Walker circulation plays a key role in causing the observed relation of ENSO with the CWIP.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Composite CWIP indices based on the original, single-factor (i.e., Ni&#xf1;o-3.4 index) and two-factor (i.e., Ni&#xf1;o-3.4 and AMO indices) reconstructed anomalies for the AMO&#x2b;/El Ni&#xf1;o (red bar), AMO-/El Ni&#xf1;o (blue curve), AMO&#x2b;/La Ni&#xf1;a (magenta bar), and AMO-/La Ni&#xf1;a (green bar) boreal winters. The solid bars indicate the composites significant at the 90% confidence level. The error bars represent one standard deviation for the indices during four ENSO cases.</p>
</caption>
<graphic xlink:href="feart-10-866241-g009.tif"/>
</fig>
<p>To further consolidate our conclusion, we conduct a parallel analysis based on the atmospheric circulations derived from the NOAA-CIRES-DOE 20CRv3 dataset (<xref ref-type="sec" rid="s11">Supplementary Figures S1&#x2013;S5</xref>). It should be noted that the obtained Walker circulation anomalies induced by ENSO and AMO in the Indian Ocean (<xref ref-type="sec" rid="s11">Supplementary Figures S1B, S4</xref>) are slightly weaker than the results based on the NCEP/NCAR dataset (<xref ref-type="fig" rid="F1">Figures 1B</xref>, <xref ref-type="fig" rid="F7">7</xref>), which may be related to the different schemes of data assimilation or model performance of these two reanalysis datasets (<xref ref-type="bibr" rid="B59">Yang et al., 2022</xref>). Despite some discrepancy, the features of precipitation and atmospheric circulation anomalies based on this NOAA-CIRES-DOE 20CRv3 dataset remain qualitatively unchanged compared to the NCEP/NCAR results. We also use the precipitation dataset from the CPC CMAP to test our hypotheses. Although the time period is relatively short (i.e., 1979&#x2013;2018), similar AMO&#x2019;s modulation effect can also be qualitatively reproduced (<xref ref-type="sec" rid="s11">Supplementary Figures S6&#x2013;S9</xref>). Next, we use a suit of idealized AMO pacemaker simulations with the coupled model EC-Earth3 that comply with the Model Intercomparison phase six (CMIP6)/DCPP-C protocol (<xref ref-type="bibr" rid="B2">Boer et al., 2016</xref>, see <italic>Data and Methodology</italic> for details). The ENSO events in each AMO &#x2b; or AMO- realization is first identified, and then the spatial distributions of composite SST anomaly for the four ENSO cases in all AMO &#x2b; or AMO- realizations are displayed in <xref ref-type="fig" rid="F10">Figure 10</xref>. We can see that in the AMO- simulations, both El Ni&#xf1;o and La Ni&#xf1;a events are stronger than those in the AMO- experiments, which is consistent with the observational results. The simulated DJF atmospheric anomalies in the central-western Indian Ocean for the four cased are then displayed in <xref ref-type="fig" rid="F11">Figure 11</xref>. Despite a relatively large spreads in the EC-Earth3 DCPP-C model simulations, both the vertical velocity and the precipitation anomalies in the central-western Indian Ocean are also relatively stronger in AMO-/El Ni&#xf1;o and AMO&#x2b;/La Ni&#xf1;a winters, qualitatively consistent with the observational results. This consistency between the observations and model experiments further increases our confidence for the aforementioned hypothesis about the AMO modulation effects on DJF ENSO-CWIP relationship.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>The same as <xref ref-type="fig" rid="F3">Figure 3</xref> but for the composite SST anomalies based on the EC-Earth3 DCPP-C simulations.</p>
</caption>
<graphic xlink:href="feart-10-866241-g010.tif"/>
</fig>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Composite anomalous precipitation and vertical velocity indices in central-western Indian Ocean (30&#xb0;S-6&#xb0;N, 50&#xb0;E-90&#xb0;E) for the AMO&#x2b;/El Ni&#xf1;o (red bar), AMO-/El Ni&#xf1;o (blue curve), AMO&#x2b;/La Ni&#xf1;a (magenta bar), and AMO-/La Ni&#xf1;a (green bar) boreal winters in the EC-Earth3 DCPP-C simulations. The solid bars indicate that the composite significant at the 90% confidence level. The error bars represent one standard deviation for the indices during four ENSO cases.</p>
</caption>
<graphic xlink:href="feart-10-866241-g011.tif"/>
</fig>
</sec>
<sec id="s5">
<title>Conclusion and Discussion</title>
<p>It has been well known that ENSO can exert significant impacts on the CWIP via modifying the Walker circulation. Based on both observations and a suit of coupled model idealized pacemaker simulations, the present study demonstrates that this positive ENSO-CWIP association is modulated of by the AMO. We suggest that AMO&#x2019;s modulation effects include two pathways. On the one hand, AMO could affect ENSO SST variability through &#x201c;atmospheric bridge-thermocline feedback&#x201d; (e.g., <xref ref-type="bibr" rid="B10">Dong et al., 2006</xref>; <xref ref-type="bibr" rid="B8">Dong and Lu, 2013</xref>; <xref ref-type="bibr" rid="B17">Gong et al., 2020</xref>). During a negative AMO phase, ENSO events mature with stronger SST anomalies in the central-eastern tropical Pacific. Therefore, the relation of ENSO with the CWIP should be enhanced during the negative AMO phase, with stronger CWIP anomalies in the AMO-/El Ni&#xf1;o and AMO-/La Ni&#xf1;a winters. However, we find that the CWIP anomalies of ENSO winters during different AMO phases are not necessarily consistent with the ENSO SST amplitude changes. While El Ni&#xf1;o in the negative AMO phase corresponds to stronger CWIP anomalies due to its stronger central-eastern tropical Pacific SST anomaly than that in the positive AMO phase, a different picture is observed for La Ni&#xf1;a. Compared with those in the positive AMO phase, La Ni&#xf1;a events in the negative AMO phase are accompanied by a weaker CWIP, although their SST anomalies in the central-eastern tropical Pacific are stronger. There exists a mismatch between the intensities of La Ni&#xf1;a tropical SST and central-western Indian Ocean atmospheric anomalies. Strong La Ni&#xf1;a SST anomaly during the negative AMO phase does not necessarily concur with strong CWIP anomalies.</p>
<p>We suggest that this mismatch for La Ni&#xf1;a events are largely attributed to AMO&#x2019;s another direct decadal modulation pathway through the atmospheric teleconnection in Walker circulation. Besides the significant relationship with ENSO on the interannual time scale, The DJF CWIP anomaly is also significantly associated with the AMO SST forcing on decadal time scales. But the influences from AMO and ENSO are opposite in phase. An AMO warming could generate an anomalous descending flow in the central-western Indian Ocean through changing the Walker circulation, thus reducing the CWIP anomalies there. Therefore, when La Ni&#xf1;a coincides with a positive AMO, the anomalous descending flows in central-western Indian Ocean is superimposed, which gives rise to a stronger negative CWIP anomaly. In contrast, during AMO-/La Ni&#xf1;a winters, the atmospheric descending anomalies in central-western Indian Ocean induced by La Ni&#xf1;a anomalous SST are partly counteracted by the multidecadal anomalous ascending flow associated with the AMO, thus resulting in weaker CWIP anomaly. For El Ni&#xf1;o episodes, the enhanced precipitation is strengthened and weakened during the negative and positive AMO phases, respectively, which further reinforces the amplitude difference of the CWIP anomaly caused by El Ni&#xf1;o SST anomaly in the central-eastern tropical Pacific. The idealized AMO pacemaker experiments based on the coupled model EC-Earth3 can well capture these observational results, further consolidating the two pathways through which AMO modulates the relation of ENSO with the CWIP.</p>
<p>In the present study, we emphasize the Atlantic multidecadal (i.e., AMO) SST modulation effects on the relation of ENSO with the CWIP during the boreal winter. The conclusions carry important implications for our climate research community. To accurately simulate the atmospheric anomalies in the Indian Ocean during ENSO events, especially during La Ni&#xf1;a events, the remote AMO decadal modulation needs to be considered besides the contribution from ENSO interannual SST variability itself. It should be noted that, we basically regard the atmospheric anomalies in the central-western Indian Ocean as passive responses to the anomalous ENSO-related SST during the mature winter in this study. It would be interesting to investigate whether these atmospheric anomalies can feedback on the subsequent SST evolution characteristics in the tropical oceans. In addition, as an important source of atmospheric perturbations, different atmospheric anomalies in the Indian Ocean will certainly produce different ENSO extra-tropical teleconnections and climate impacts, which are also important targets for further investigations.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>XG conceived the idea. CZ and XG conducted the data analysis and prepared the tables and figures. All authors discussed the results. CZ wrote the original draft and XG reviewed and edited this paper.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work is supported by the National Natural Science Foundation of China (42088101, 41905073).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<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 sec-type="disclaimer" id="s10">
<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>
<ack>
<p>The authors would like to thank the editor and two reviewers for their constructive suggestions and comments that significantly improved this paper.</p>
</ack>
<sec id="s11">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/feart.2022.866241/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2022.866241/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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