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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">1223939</article-id>
<article-id pub-id-type="doi">10.3389/feart.2023.1223939</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>Easterly wave activity in the Intra Americas Seas region analyzed with vertically integrated moisture fluxes</article-title>
<alt-title alt-title-type="left-running-head">Pazos et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2023.1223939">10.3389/feart.2023.1223939</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Pazos</surname>
<given-names>Marni</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2315049/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Maga&#xf1;a</surname>
<given-names>V&#xed;ctor</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/107862/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Herrera</surname>
<given-names>Eduardo</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1021571/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Instituto de Ciencias de la Atm&#xf3;sfera y Cambio Clim&#xe1;tico</institution>, <institution>Universidad Nacional Aut&#xf3;noma de M&#xe9;xico</institution>, <addr-line>Mexico City</addr-line>, <country>Mexico</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Instituto de Geograf&#xed;a</institution>, <institution>Universidad Nacional Aut&#xf3;noma de M&#xe9;xico</institution>, <addr-line>Mexico City</addr-line>, <country>Mexico</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Facultad de Instrumentacion Electronica-Licenciatura en Ciencias Atmosfericas</institution>, <institution>Universidad Veracruzana</institution>, <addr-line>Xalapa</addr-line>, <addr-line>Veracruz</addr-line>, <country>Mexico</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/546986/overview">Andreas Franz Prein</ext-link>, National Center for Atmospheric Research (UCAR), United States</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/2330176/overview">Kelly Nunez Ocasio</ext-link>, National Center for Atmospheric Research (UCAR), United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2334007/overview">Dimitris Herrera</ext-link>, The University of Tennessee, Knoxville, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Marni Pazos, <email>marni@unam.mx</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1223939</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Pazos, Maga&#xf1;a and Herrera.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Pazos, Maga&#xf1;a and Herrera</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>
<bold>Introduction:</bold> Easterly waves (EWs) are a dominant atmospheric phenomenon in the tropics. EWs in Mexico, Central America and the Caribbean region produce intense precipitation and significantly contribute to the summer rainy season, but some climatologies indicate their activity is weak or even null over the Intra-Americas Seas (IAS). As it is shown in the present study, EW activity over the IAS is not negligible but its variability is less than that off the western coast of Africa.</p>
<p>
<bold>Method:</bold> Given the well-known coupling of wind and atmospheric moisture in EWs, their characteristics may be described using vertically integrated moisture fluxes (VIMF) and their divergence. By means of Hovm&#xf6;ller diagrams, lagged correlations and composite analyses, the propagation and the meteorological effects of these waves across the Caribbean Sea and the Gulf of Mexico, particularly on moisture and rains, are examined.</p>
<p>
<bold>Results:</bold> It is observed that as EWs propagate, the VIMF convergence increases the level of precipitable water which frequently results in intense precipitation events. High frequency variability of the meridional component of the VIMF is used to estimate EW activity. Over the Caribbean Sea, EWs are less energetic than in the eastern tropical Atlantic even while the number of waves over these regions is comparable.</p>
<p>
<bold>Discussion:</bold> When the Caribbean Low-Level Jet (CLLJ) is strong, EW activity tends to diminish due to a decrease in precipitable water (PW), sea surface temperature (SST) over the Caribbean, and possibly to an intensified vertical wind shear. Therefore, years of a stronger than normal CLLJ tend to result in summer precipitation below normal over most of the IAS and southern Mexico.</p>
</abstract>
<kwd-group>
<kwd>easterly waves</kwd>
<kwd>moisture fluxes</kwd>
<kwd>precipitation</kwd>
<kwd>Intra Americas Seas</kwd>
<kwd>extreme events</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Atmospheric Science</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The rainy season over most of Mexico, Central America and the Caribbean Sea occurs from June through October, with rain producing phenomena that include easterly waves (EWs) (e.g., <xref ref-type="bibr" rid="B27">Ladwig and Stensrud, 2009</xref>) and tropical cyclones (TCs) (e.g., <xref ref-type="bibr" rid="B13">Dom&#xed;nguez and Maga&#xf1;a, 2018</xref>). During the passage of these tropical systems subsidence is counterbalanced by the corresponding ascending motion that, not only reduces the high stability of the region, but also act as important moisture transport mechanisms (<xref ref-type="bibr" rid="B1">Adams and Stensrud, 2007</xref>).</p>
<p>EWs are westward traveling atmospheric high-frequency transients in the easterlies (e.g., <xref ref-type="bibr" rid="B48">Riehl, 1945</xref>, <xref ref-type="bibr" rid="B46">1948</xref>, <xref ref-type="bibr" rid="B47">1954</xref>; <xref ref-type="bibr" rid="B42">Palmer, 1952</xref>; <xref ref-type="bibr" rid="B53">Tai and Ogura, 1987</xref>) and are precursors of more than half of the TCs in the North Atlantic (<xref ref-type="bibr" rid="B2">Avila et al., 2003</xref>; <xref ref-type="bibr" rid="B40">N&#xfa;&#xf1;ez Ocasio and Rios-Berrios, 2023</xref>). EWs in the Atlantic may also lead to TCs in the eastern Pacific (e.g., <xref ref-type="bibr" rid="B37">Molinari et al., 2000</xref>). Furthermore, the rainy season in the tropical Americas or meteorological droughts may be influenced by EW activity (<xref ref-type="bibr" rid="B34">M&#xe9;ndez and Maga&#xf1;a, 2010</xref>; <xref ref-type="bibr" rid="B21">Gomes et al., 2015</xref>).</p>
<p>Early observational studies on tropical waves used spectral analysis and composite techniques to detect fluctuations in the wind field (<xref ref-type="bibr" rid="B59">Yanai et al., 1968</xref>; <xref ref-type="bibr" rid="B39">Nitta, 1970</xref>) and to characterize their wavelength and frequency (<xref ref-type="bibr" rid="B5">Burpee, 1974</xref>; <xref ref-type="bibr" rid="B32">Maga&#xf1;a and Yanai, 1991</xref>). In this way, it was determined that EWs have periods between 3 and 6&#xa0;days, typical wavelengths between 2,500 and 4,000&#xa0;km and propagate westward with a phase speed of 5&#x2013;10&#xa0;m&#xb7;s<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B45">Riehl, 1979</xref>; <xref ref-type="bibr" rid="B57">Wang, 2015</xref>). Over western Africa, the tropical Atlantic Ocean and the Caribbean Sea, their amplitude is larger at around 700&#xa0;hPa and have a cold-core structure in the lower troposphere (<xref ref-type="bibr" rid="B6">Burpee, 1972</xref>, <xref ref-type="bibr" rid="B5">1974</xref>; <xref ref-type="bibr" rid="B44">Reed et al., 1977</xref>; <xref ref-type="bibr" rid="B55">Thompson et al., 1979</xref>). EWs have a meridional extent of 10&#x2013;15&#xb0; with a west-east tilt between the surface and the mid-troposphere, and a southwest to northeast tilt in the axis of the inverted trough (<xref ref-type="bibr" rid="B19">Frank, 1969</xref>). Generally, low-level divergence, subsidence, and fair weather are observed ahead of the inverted trough axis in an EW, while convergence, ascending motion, a deep layer of moisture and disturbed weather are detected to the east of the trough axis of the wave (<xref ref-type="bibr" rid="B8">Carlson, 1969</xref>; <xref ref-type="bibr" rid="B6">Burpee, 1972</xref>).</p>
<p>
<xref ref-type="bibr" rid="B43">Reed et al. (1988)</xref> found that EWs propagate from the west coast of Africa to the IAS following the mean low-level flow. Even more, some analyses indicate the EWs over the Caribbean region follow a southeast-northwest trajectory across the Gulf of Mexico (e.g., <xref ref-type="bibr" rid="B25">Kerns et al., 2008</xref>) and into the continent, influencing the North American Monsoon (<xref ref-type="bibr" rid="B27">Ladwig and Stensrud, 2009</xref>). Others have suggested that the preferred EW trajectories are from the Caribbean Sea into the eastern tropical Pacific (e.g., <xref ref-type="bibr" rid="B50">Serra et al., 2010</xref>). Various tracking schemes have been proposed to establish EW activity and the preferred EW trajectories. These EW detection schemes have led to construct climatologies (<xref ref-type="bibr" rid="B56">Thorncroft and Hodges, 2001</xref>; <xref ref-type="bibr" rid="B23">Hodges et al., 2003</xref>; <xref ref-type="bibr" rid="B4">Belanger et al., 2016</xref>; <xref ref-type="bibr" rid="B28">Lawton et al., 2022</xref>) which indicate that EW activity is minimum over the Caribbean given that not all African easterly waves reach the Caribbean Sea and the Gulf of Mexico (<xref ref-type="bibr" rid="B15">Enyew and Mekonnen, 2022</xref>), i.e., the Intra-Americas Sea (IAS) region (<xref ref-type="bibr" rid="B33">Maul, 2019</xref>). However, EWs are known to be an important element of weather in the region and an analysis to clarify this apparent contradiction should be conducted.</p>
<p>Humidity and stability across the tropical Atlantic are key factors that maintain EWs as they propagate from Africa into the Caribbean region, where the coupling between the wind field and convective activity constitutes a basic element for these disturbances to maintain their structure, as observed in satellite images (<xref ref-type="bibr" rid="B36">Molinari et al., 1997</xref>; <xref ref-type="bibr" rid="B51">Shelton, 2011</xref>). It has been suggested that EWs over the Caribbean Sea may intensify through wave mean flow interaction with the barotropically unstable Caribbean Low-Level Jet (CLLJ) (e.g., <xref ref-type="bibr" rid="B36">Molinari et al., 1997</xref>; <xref ref-type="bibr" rid="B34">M&#xe9;ndez and Maga&#xf1;a, 2010</xref>). Consequently, the characteristics of the mean low-level atmospheric flow in the Caribbean when EW activity is examined.</p>
<p>EWs result in periodic wet or dry episodes during the summer season and their activity may result in a weak or intense rainy season in the Mexico, Central America, and the IAS region (e.g., <xref ref-type="bibr" rid="B24">Hosler, 1956</xref>; <xref ref-type="bibr" rid="B20">Fuller and Stensrud, 2000</xref>; <xref ref-type="bibr" rid="B27">Ladwig and Stensrud, 2009</xref>). Determining the factors that control the interannual variability of EW activity may serve to produce better seasonal climate outlooks for the region. In addition, experienced meteorologists consider EWs as precursors of intense storms (e.g., reports in <xref ref-type="bibr" rid="B26">La Revista de Yucat&#xe1;n, 2023</xref>). Even more, the role of EW in inducing intense precipitation events that significantly contribute to seasonal rains, for instance in the African region, has been documented (e.g., <xref ref-type="bibr" rid="B49">Seo et al., 2008</xref>; <xref ref-type="bibr" rid="B52">Suneetha, 2018</xref>; <xref ref-type="bibr" rid="B7">Camberlin et al., 2020</xref>).</p>
<p>Therefore, the objective of the present study is to examine EW activity in the IAS region, its relationship to the mean atmospheric flow and the role of EWs as intense precipitation events precursors, examining their propagation from the Atlantic Ocean into the IAS and their role as a moisture transport mechanism.</p>
</sec>
<sec id="s2">
<title>Data</title>
<p>Numerous observational analyses to detect EWs and other type of tropical waves have been developed using wind data from atmospheric soundings (e.g., <xref ref-type="bibr" rid="B60">Yanai and Nitta, 1967</xref>) and reanalysis (e.g., <xref ref-type="bibr" rid="B50">Serra et al., 2010</xref>). Wind and moisture data at low tropospheric levels, serve to document the presence of EWs, which are also detected referring to the vertical component of the relative vorticity (<xref ref-type="bibr" rid="B43">Reed et al., 1988</xref>; <xref ref-type="bibr" rid="B23">Hodges et al., 2003</xref>; <xref ref-type="bibr" rid="B4">Belanger et al., 2016</xref>). Other analyses on EWs are based on satellite images (<xref ref-type="bibr" rid="B35">METED, 2023</xref>) or radar data (e.g., <xref ref-type="bibr" rid="B9">Cifelli et al., 2010</xref>).</p>
<p>The ERA-Interim data constitute an adequate source of gridded daily wind and atmospheric moisture data with high spatial resolution (0.75&#xb0; &#xd7; 0.75&#xb0;) at various tropospheric levels, including 1,000, 925, 850, 700, and 500&#xa0;hPa for the 1979&#x2013;2018 period. In the present analysis, the ERA Interim data set is used to investigate the high frequency variance of the meridional component of the wind at 700&#xa0;hPa (v<sub>700</sub>). To estimate the coupling between wind and moisture in EWs, the vertically integrated moisture flux (VIMF) is calculated from the wind and moisture fields from 1,000 to 500&#xa0;hPa.</p>
<p>VIMF is estimated using the expression:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>F</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x222b;</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1000</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>500</mml:mn>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mi>q</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>q</italic> is the specific humidity (kg&#xb7;kg<sup>&#x2013;1</sup>), <bold>
<italic>V</italic>
</bold> is the horizontal wind field, <italic>g</italic> is the gravity constant, and <italic>p</italic> is the pressure between the 1,000 and 500&#xa0;hPa. VIMF units are kg&#xb7;m<sup>&#x2013;1</sup>&#xb7;s<sup>&#x2013;1</sup>.</p>
<p>The VIMF is a measure of the amount of water vapor transported in the atmosphere and is frequently used along with its convergence to document hydrological processes in the atmosphere (<xref ref-type="bibr" rid="B16">Fasullo and Webster, 2003</xref>). The timing, position, and duration of high VIMF convergence zones may result in intense convective activity. The VIMF may also be used to examine moisture transport processes, for instance in EWs.</p>
<p>The atmospheric moisture conservation equation for a vertical column is<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>1000</mml:mn>
<mml:mn>500</mml:mn>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mo>&#x2207;</mml:mo>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mi>q</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>and it describes temporal changes in precipitable water (PW) due to evaporation, <italic>E</italic>, precipitation, <italic>P</italic>, and to the moisture flux divergence (convergence). The VIMF convergence is calculated by numerically integrating VIMF fields between 1,000 and 500&#xa0;hPa.</p>
<p>An atmospheric moisture-VIMF convergence (divergence) region is a moisture sink (source) region where PW tends to increase (decrease). Therefore, the intensity in VIMF convergence is important to understand the occurrence of extreme weather events, such as intense precipitation in hurricanes (e.g., <xref ref-type="bibr" rid="B14">Ejigu et al., 2021</xref>). The convergence of the VIMF and the increases in PW induced by EWs are considered significant modulators of precipitation over the IAS (<xref ref-type="bibr" rid="B3">Banacos and Schultz, 2005</xref>; <xref ref-type="bibr" rid="B31">Maga&#xf1;a and D&#xed;az, 2022</xref>).</p>
<p>PW daily data is also obtained for the same period from the ERA Interim database and is evaluated using the atmospheric moisture content between 1,000 and 300&#xa0;hPa by means of the expression.<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>W</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>1000</mml:mn>
<mml:mn>300</mml:mn>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Although PW considers the entire atmospheric column, the largest contribution to PW during the passage of an EW comes from moisture convergence at low atmospheric levels (below 500&#xa0;hPa) (<xref ref-type="bibr" rid="B5">Burpee, 1974</xref>).</p>
<p>Daily Outgoing Longwave Radiation (OLR) data from the NOAA/NCEP are used to document deep convective activity in relation to EWs. The daily OLR data for the period 1981&#x2013;2018 have a spatial resolution of 2.5&#xb0; &#xd7; 2.5&#xb0; (<xref ref-type="bibr" rid="B29">Liebmann and Smith, 1996</xref>). Daily precipitation data from the National Water Commission (<xref ref-type="bibr" rid="B10">CONAGUA, 2023</xref>) station network over the eastern coast of the Yucatan Peninsula are used to identify intense precipitation events (&#x3e;30&#xa0;mm day<sup>&#x2212;1</sup>) during the passage of EWs.</p>
</sec>
<sec sec-type="methods" id="s3">
<title>Methodology</title>
<p>Tropical wave activity may be estimated by means of the high frequency variance of the meridional component of the wind (e.g., <xref ref-type="bibr" rid="B32">Maga&#xf1;a and Yanai, 1991</xref>) that reflects part of the perturbation kinetic energy (PKE) of a transient. Similar high frequency variance analyses of PW reflect the modulating effect of EWs in the moisture field. High frequency variability of PW and the meridional component of the VIMF (VIMF<sub>y</sub>) are used to detect EW activity, considering the strong coupling of these variables for instance, in the rear of the inverted trough. Spectral analysis of the wind field, PW and VIMF<sub>y</sub> are used to obtain the frequency range that corresponds to the EWs signal across the Atlantic Ocean. The spectral analyses scheme by <xref ref-type="bibr" rid="B41">Olafsdottir et al. (2016)</xref> includes a significance test to detect significant variance as the one related to EWs in the high frequency period range.</p>
<p>Once the signals of EWs are detected, a band-pass filter (<xref ref-type="bibr" rid="B38">Murakami, 1979</xref>) is applied to the wind, PW and the VIMF fields to enhance their temporal characteristics. Composite VIMF patterns are prepared using band-pass filtered data based on indices related to EWs activity and dates of events of more than 30&#xa0;mm day<sup>&#x2013;1</sup> to examine their characteristic temporal evolution.</p>
<p>
<xref ref-type="bibr" rid="B4">Belanger et al. (2016)</xref> used wind data and other meteorological variables (e.g., relative vorticity) to characterize EWs over the tropical Atlantic Ocean. For instance, they document an EW event for 15 August 2008, over the tropical Atlantic. VIMF is an adequate variable to represent EWs, along with VIMF convergence, PW and OLR anomalies. The EW of August 15-19, 2008, over the Atlantic is detected as it propagates from western Africa into the Caribbean Sea (<xref ref-type="fig" rid="F1">Figure 1</xref>). The inverted troughs (A and B) are associated with a tropical wave train in the VIMF field, where VIMF convergence and PW are large (<xref ref-type="fig" rid="F1">Figure 1A</xref>). The corresponding anomalies in the VIMF and OLR fields indicate that the cyclonic (anticyclonic) circulation sequence in the EW result that modulates intense (null) tropical convection over the region (<xref ref-type="fig" rid="F1">Figure 1B</xref>). A vertical cross-section of specific humidity and moisture flux convergence between 14 August and 18 August 2008 (<xref ref-type="fig" rid="F1">Figure 1C</xref>) shows that the passage of the easterly wave train (indicated with letters A and B) modulates moisture flux convergence and divergence at low tropospheric levels and up to 700&#xa0;hPa. Moisture flux convergence results in relatively large values of specific humidity from surface up to 500&#xa0;hPa that reflects in large values of PW and VIMF convergence in locations A and B, as shown in <xref ref-type="fig" rid="F1">Figure 1A</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> Daily VIMF (vectors), VIMF convergence (contour interval: 0.5&#xa0;mm day<sup>&#x2212;1</sup>) (red lines) and PW (shades of blue to magenta) for the period between 14/08/2008 (top) and 18/08/2008 (bottom). The A and B blue letters in squares correspond to inverted troughs associated with an EW train over the tropical Atlantic. <bold>(B)</bold> Daily high frequency (3&#x2013;10&#xa0;day)<sup>&#x2212;1</sup> anomalies of VIMF (vectors) for zonal wave numbers (6&#x2013;15) and negative OLR anomalies (shades of red to yellow) between 14/08/2008 (top) and 18/08/2008 (bottom). The A and B blue letters in squares correspond to the inverted troughs identified in <bold>(A)</bold>. <bold>(C)</bold> Vertical cross section along 16.5&#xb0;N of daily specific humidity (shades of blue to brown) and moisture flux divergence (blue lines) and convergence (red lines) (contour interval 50&#xa0;g&#xb7;kg<sup>&#x2212;1</sup>&#xb7;ms<sup>&#x2212;1</sup>) between 14/08/2008 (top) and 18/08/2008 (bottom). The A and B blue letters in squares correspond to the inverted troughs identified in <bold>(A)</bold>.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g001.tif"/>
</fig>
<p>The spatial patterns observed in <xref ref-type="fig" rid="F1">Figures 1A, B</xref> are identifiable in lagged correlation analysis between a reference point in the central Caribbean and the rest of the domain and serve to examine the propagation of easterly waves over the IAS.</p>
</sec>
<sec sec-type="results" id="s4">
<title>Results</title>
<sec id="s4-1">
<title>Detecting EW activity over the IAS</title>
<p>From June through September, the VIMF is intense over most of the northern side of the Inter-Tropical Convergence Zone (ITCZ) in the Atlantic Ocean, around 10&#xb0;N (<xref ref-type="fig" rid="F2">Figure 2</xref>), with a dominant zonal component where trade winds are strong (&#x3e;8&#xa0;m&#xb7;s<sup>&#x2013;1</sup>) where PW is larger than 40&#xa0;mm. The combined effect of lower tropospheric winds and atmospheric moisture is represented in the VIMF fields, which show a magnitude close to 200&#xa0;kg&#xb7;m<sup>&#x2013;1</sup>&#xb7;s<sup>&#x2013;1</sup> over most of the Caribbean Sea, in relation to the presence of the CLLJ. The low-level winds from the Atlantic Ocean transport moisture into the Caribbean Sea and at times, into the eastern tropical Pacific (<xref ref-type="bibr" rid="B31">Maga&#xf1;a and D&#xed;az, 2022</xref>) and into the Gulf of Mexico. The divergence of the VIMF over the eastern-central Caribbean Sea is equivalent to 5&#xa0;mm day<sup>&#x2013;1</sup> and constitutes a moisture source that contrasts with the intense moisture convergence (sink) in the CLLJ exit region, of up to &#x2212;15&#xa0;mm day<sup>&#x2013;1</sup>, off the Caribbean coast of Nicaragua, which results in large values of PW (&#x3e;48&#xa0;mm) and precipitation (&#x3e;10&#xa0;mm day<sup>&#x2013;1</sup>). Convergence of the VIMF is larger (&#x3c;&#x2013;10&#xa0;mm day<sup>&#x2013;1</sup>) over the eastern Pacific ITCZ, where the mean PW is more than 55&#xa0;mm during summer. The southeast-northwest direction of the VIMF over the Gulf of Mexico constitutes a mean of moisture transport from the Caribbean Sea to northeastern Mexico and southern Texas. However, the divergence of the VIMF over the latter maintains semi-arid conditions, only interrupted by the passage of atmospheric transients such as EWs or tropical cyclones.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>June-September climatology of the VIMF (kg&#xb7;m<sup>&#x2013;1</sup>&#xb7;s<sup>&#x2013;1</sup>) between 1,000 and 500&#xa0;hPa (vectors), the VIMF divergence (contour interval 5&#xa0;mm day<sup>&#x2212;1</sup>) (blue lines) and convergence (red lines), and PW larger than 40&#xa0;mm (shades of blue and magenta).</p>
</caption>
<graphic xlink:href="feart-11-1223939-g002.tif"/>
</fig>
<p>High frequency perturbations in the VIMF fields mainly correspond to EW activity in the tropical Atlantic and may be detected as fluctuations in the wind field at 700&#xa0;hPa (<xref ref-type="bibr" rid="B12">Diedhiou et al., 1999</xref>), by tracking vorticity centers either at 600 or 850&#xa0;hPa (<xref ref-type="bibr" rid="B56">Throncroft and Hodges, 2001</xref>), or by including analyses of changes in the atmospheric moisture fields or convective activity (brightness temperature anomalies) (e.g., <xref ref-type="bibr" rid="B4">Belanger et al., 2016</xref>). The moisture content in EWs is particularly important to maintain these tropical systems as they approach to the IAS. This reflects in intense convective activity (OLR negative anomalies), where large values of PW, VIMF and its convergence are present.</p>
<p>During the summer of 2008, high frequency (less than 10&#xa0;days period) anomalies in the meridional wind at 700&#xa0;hPa (v<sub>700</sub>) or in VIMF<sub>y</sub> along 17&#xb0;N may be used to detect EW activity across the Atlantic and eastern tropical Pacific (<xref ref-type="fig" rid="F3">Figure 3A</xref>). EWs weaken near the Caribbean Sea, as observed in the amplitude of v<sub>700.</sub> This weakening shows in EW climatologies (e.g., <xref ref-type="bibr" rid="B56">Thorncroft and Hodges., 2001</xref>). The EW signal in PW above 40&#xa0;mm and in the convergence of the VIMF shows that most of the eastward propagating systems tend to extend across the Atlantic (<xref ref-type="fig" rid="F3">Figure 3B</xref>) at a speed of the order of 6&#xa0;ms<sup>&#x2212;1</sup> (green line in <xref ref-type="fig" rid="F3">Figure 3</xref>), within the range of EW phase speed (<xref ref-type="bibr" rid="B57">Wang, 2015</xref>). However, not all African easterly waves reach the Caribbean Sea, particularly those with low atmospheric moisture transport and PW. Even more, some signals of EWs appear over the Caribbean and propagate into the eastern Pacific.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Hovm&#xf6;ller diagrams along 17&#xb0;N for the eastern Pacific and tropical Atlantic of <bold>(A)</bold> high frequency anomalies of v<sub>700</sub> (contour interval 2&#xa0;m&#xb7;s<sup>&#x2212;1</sup>; red and blue contours correspond to negative and positive values) and VIMF<sub>y</sub> (shades of brown and green), and <bold>(B)</bold> convergence of VIMF (red lines and contour interval: 5&#xa0;mm day<sup>&#x2212;1</sup>) and values of PW larger than 40&#xa0;mm (shades of blue-magenta), for the summer of 2008. The tilted green line shows the signal of the EW presented in <xref ref-type="fig" rid="F1">Figure 1</xref>. Vertical dashed lines correspond to the Caribbean Sea longitudes. Yellow circles correspond to Tropical Cyclones.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g003.tif"/>
</fig>
<p>In general, African easterly waves that reach the IAS maintain their phase speed and coupling with the moisture field. Some African easterly waves do not reach the IAS since they become TCs and consequently, they do not add to the account of transients, making a difference between African wave activity and EW activity over the IAS. At times, it is observed that the signal of an EW begins slightly to the east of the Lesser Antilles and enhances over the IAS (<xref ref-type="fig" rid="F3">Figure 3B</xref>). EWs in the eastern tropical Pacific may have a different origin (<xref ref-type="bibr" rid="B58">Whitaker and Maloney, 2020</xref>).</p>
</sec>
<sec id="s4-2">
<title>High frequency variability in the atmospheric circulations and EWs</title>
<p>From June through September, high frequency variability in v<sub>700</sub> is commonly associated with African easterly waves or EWs in the Atlantic. The high frequency variance in v<sub>700</sub> corresponds to a part of high frequency component of the PKE of EWs. It is large off the western coast of Africa and across the Atlantic and tends to diminish over the Caribbean Sea (<xref ref-type="fig" rid="F4">Figure 4A</xref>). The high-frequency variance of PW (<xref ref-type="fig" rid="F4">Figure 4B</xref>) and VIMF<sub>y</sub> (<xref ref-type="fig" rid="F4">Figure 4C</xref>) is also large off the western coast of Africa and weaker over the IAS. The spatial distribution of high frequency PKE is related to EW activity and is like various EW climatologies (e.g., <xref ref-type="bibr" rid="B4">Belanger et al., 2016</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Variance in the 3&#x2013;6&#xa0;days period range for <bold>(A)</bold> for v<sub>700</sub>, <bold>(B)</bold> for PW, and <bold>(C)</bold> for the meridional component of the VIMF, corresponding to the June-September period between 1979 and 2018.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g004.tif"/>
</fig>
<p>Although the high frequency variance related to EWs activity diminishes over the Caribbean Sea, the number of these tropical systems in this region is comparable to the number of African easterly waves (<xref ref-type="bibr" rid="B18">Frank, 1970</xref>; NHC 2022; <ext-link ext-link-type="uri" xlink:href="http://www.nhc.noaa.gov/climo/">http://www.nhc.noaa.gov/climo/</ext-link>; Trinidad and Tobago Weather Center <ext-link ext-link-type="uri" xlink:href="https://ttweathercenter.com/2022/05/01/tropical-waves/">https://ttweathercenter.com/2022/05/01/tropical-waves/</ext-link>, retrieved 25 March 2023), i.e., around 20 systems from June through September (<xref ref-type="bibr" rid="B56">Thorncroft and Hodges, 2001</xref>). The amplitude of v<sub>700</sub> and the VIMF<sub>y</sub> fluctuations associated with EWs is at least four times larger over the western part of Africa than over the Caribbean Sea (<xref ref-type="fig" rid="F4">Figure 4</xref>). Therefore, EW climatologies reflect the amplitude of high frequency transients, but not necessarily the number of these tropical perturbations.</p>
<p>By means of spectral analyses for the summer months, it is observed that the dominant mode of high-frequency variability in v<sub>700</sub>, PW or VIMF<sub>y</sub> in the central Caribbean region corresponds to the frequency range of EWs (<xref ref-type="fig" rid="F5">Figure 5</xref>). The v<sub>700</sub> power spectrum at 75&#xb0;W, 16.5&#xb0;N shows a significant variance in the period range between 3 and 6 days (frequency between 0.17 and 0.33&#xa0;days<sup>&#x2013;1</sup>) (<xref ref-type="fig" rid="F5">Figure 5A</xref>). Spectral peaks in the frequency range 0.35 and 0.16&#xa0;day<sup>&#x2013;1</sup> are observed in the power spectrum of PW (<xref ref-type="fig" rid="F5">Figure 5B</xref>). Significant high-frequency variability in VIMF<sub>y</sub> occurs in the period range between 0.23 and 0.18&#xa0;day<sup>&#x2013;1</sup> (<xref ref-type="fig" rid="F5">Figure 5C</xref>). All these signals reflect the characteristic period of EW. Throughout the rest of this paper, the 3&#x2013;6&#xa0;days variance in VIMF<sub>y</sub> is used as a measure of EW activity.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Power spectra, <bold>(A)</bold> for v<sub>700</sub>, <bold>(B)</bold> for PW, and <bold>(C)</bold> the meridional component of the VIMF (VIMF<sub>y</sub>). The spectral analyses are calculated for the June-September period of the years between 1979 and 2018, at 75&#xb0;W, 16&#xb0;N. The thin solid line indicates the 95% significance level.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g005.tif"/>
</fig>
<p>The monthly total and high frequency variances in v<sub>700</sub>, PW, or VIMF<sub>y</sub> indicate that EW activity over the Caribbean Sea is a dominant form of variability during the summer months. For instance, the 3&#x2013;6&#xa0;days variance of v<sub>700</sub> is large between July and September and explains the largest percentage of the total variance (<xref ref-type="fig" rid="F6">Figure 6A</xref>), more than 40%, particularly in July and August. The high-frequency variance in PW is also larger from June to August and explains more than 25% of the total variance (<xref ref-type="fig" rid="F6">Figure 6B</xref>). The total and the high frequency variance in VIMF<sub>y</sub> tend to be low during the summer months, but the explained variance by high frequency transients, related to EWs, is larger between July and September (&#x3e;35%) making them the dominant mode of variability in this region (<xref ref-type="fig" rid="F6">Figure 6C</xref>), even while smaller than in the African and Atlantic tropical regions. In summary, the variance in VIMF<sub>y</sub> in summer months, mainly related to EW activity, is also the dominant form of high-frequency variability over the Caribbean Sea and consequently, climatologies on this phenomenon should reconsider their importance over the IAS.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Monthly total (gray bar) and high frequency (3&#x2013;6&#xa0;days) (black bar) variance <bold>(A)</bold> of v<sub>700</sub> (m<sup>2</sup>&#xb7;s<sup>&#x2013;2</sup>), <bold>(B)</bold> of PW (mm<sup>2</sup>) and <bold>(C)</bold> of VIMF<sub>y</sub> (kg<sup>2</sup>&#xb7;m<sup>&#x2013;2</sup>&#xb7;s<sup>&#x2013;2</sup>), in the central Caribbean Sea (75&#xb0;W, 16.5&#xb0;N). The solid line corresponds to the explained (%) variance by high frequency transients.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g006.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>EW propagation across the Atlantic Ocean</title>
<p>As suggested by <xref ref-type="bibr" rid="B25">Kerns et al. (2008)</xref>, not all perturbations identified with vorticity maxima coming from Africa develop into EWs that reach the Caribbean Sea. The westward propagation of EWs across the Atlantic may be determined by means of a modified time-longitude Hovm&#xf6;ller diagram (<xref ref-type="bibr" rid="B17">Fraedrich and Lutz, 1987</xref>) of high frequency variations in v<sub>700</sub>, PW or VIMF (<xref ref-type="fig" rid="F7">Figure 7</xref>). Using the eastern Caribbean Sea (60&#xb0;W, 16.5&#xb0;N) as a reference point, for lags between &#x2212;5 and &#x2b;5&#xa0;days, it is observed that the signal of EWs extends across most of the Atlantic, from around 20&#xb0;W and into Central America (90&#xb0;W). The waves signal, further downstream into the eastern Pacific, is not observed. The analyses also show that the wavelength of the tropical perturbations is of the order of 3,000&#xa0;km with a phase speed of the order around 6&#xa0;m&#xb7;s<sup>&#x2013;1</sup>, which corresponds to the characteristic values of EWs in the Atlantic (<xref ref-type="bibr" rid="B57">Wang, 2015</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Modified time-longitude Hovm&#xf6;ller diagram for the 3&#x2013;6&#xa0;days band-pass filtered for <bold>(A)</bold> v<sub>700</sub>, <bold>(B)</bold> PW and <bold>(C)</bold> VIMF<sub>y</sub>, for the June-September period, with a reference point at 60&#xb0;W, 16.5&#xb0;N, red (blue) lines indicate positive (negative) correlations.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g007.tif"/>
</fig>
<p>African easterly waves act as precursors for EW activity over the Caribbean Sea, but their amplification in this region may be related to quasi-stationary conditions such as (i) the barotropically unstable CLLJ (<xref ref-type="bibr" rid="B36">Molinari et al., 1997</xref>); or (ii) thermodynamic conditions, such as SSTs above 28&#xb0;C and large atmospheric moisture availability (PW above 40&#xa0;mm) that enhance convective activity over the Caribbean warm pool. The connection of the African easterly waves signal (around 0&#xb0;) to the EW signal over the Caribbean is not evident in any of the three variables used to characterize these modes. V<sub>700</sub> and VIMF<sub>y</sub> show that at around 16.5&#xb0;N, EWs are present throughout most of the summer months, but contrary to what was suggested by <xref ref-type="bibr" rid="B50">Serra et al. (2010)</xref> their signal does not appear to extend into the eastern tropical Pacific.</p>
</sec>
<sec id="s4-4">
<title>EW activity over the IAS</title>
<p>Year to year variations in EW activity may have an important influence on the summer rainy season over the tropical Americas (<xref ref-type="bibr" rid="B34">M&#xe9;ndez and Maga&#xf1;a, 2010</xref>). High frequency variance of VIMF<sub>y</sub> may be used to analyze EW interannual variability (<xref ref-type="fig" rid="F8">Figure 8</xref>) and its relationship with boundary conditions, such as SST or the mean flow, such as the intensity of the CLLJ, and to some extent, to African easterly wave activity. High-frequency variance in VIMF<sub>y</sub> appears to be an adequate measure of internnual African wave activity as it is coherent with other estimates of EW interannual variability, as those presented by <xref ref-type="bibr" rid="B56">Thorncroft and Hodges (2001)</xref>. The high frequency variance in VIMF<sub>y,</sub> off the western coast of Africa, is at least four times larger than over the Caribbean Sea. Even more, African wave activity and EW activity in the Caribbean are not significantly correlated (<italic>r</italic> &#x3d; 0.07) which suggests that there are other factors controlling the latter. It is possible that EW activity over the IAS is related to the intensity of the CLLJ, to PW or the SST anomalies.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>High-frequency (3&#x2013;6&#xa0;days period) variance of VIMF<sub>y</sub> during summer (June-September) for the years between 1979 and 2018, as a measure of African wave (grey line) and Caribbean EW (blue line) activity. The reference point for Africa is at 15&#xb0;W, 18&#xb0;N, and at 75&#xb0;W, 16.5&#xb0;N for the Caribbean Sea.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g008.tif"/>
</fig>
<p>An analysis of high frequency variability in VIMF<sub>y</sub> shows that EW activity over the Caribbean Sea is related to a relatively weak CLLJ (<italic>r</italic> &#x3d; &#x2212;0.6), warm SSTs and high levels of PW (<italic>r</italic> &#x3d; 0.4) (<xref ref-type="fig" rid="F9">Figure 9</xref>). The interannual variations in summer PW and SSTs are correlated (<italic>r</italic> &#x3d; 0.5) and their fluctuations are in turn, modulated by the intensity of the CLLJ, since an anomalously intense (weak) atmospheric low level zonal flow tends to result in anomalously cool (warm) SSTs. Maxima in EW activity in the Caribbean occur in 1979, 1988, 1998, 2008, and 2017, which mostly correspond to La Ni&#xf1;a conditions (<xref ref-type="fig" rid="F9">Figure 9A</xref>). Weak EW activity occurs in 1986, 1992, 1994, 1997, 2000, and 2015, which mostly correspond to El Ni&#xf1;o conditions and stronger than normal CLLJ. Therefore, on interannual time scales, SST, PW and the CLLJ intensity are correlated with EW activity over the Caribbean Sea and El Ni&#xf1;o/Southern Oscillation (ENSO).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Mean seasonal (June-September) <bold>(A)</bold> Caribbean EW activity (blue line), zonal wind at 925&#xa0;hPa over the central Caribbean (75&#xb0;W, 15&#xb0;N) as an index of the CLLJ (black line); <bold>(B)</bold> PW (mm) (green line) and SST (&#xb0;C) (red line) over the central Caribbean. The red (light blue) vertical bars correspond to summer periods of El Ni&#xf1;o (La Ni&#xf1;a).</p>
</caption>
<graphic xlink:href="feart-11-1223939-g009.tif"/>
</fig>
<p>A strong CLLJ also results in an intense vertical wind shear that inhibits deep tropical convection (<xref ref-type="bibr" rid="B11">DeMaria, 1996</xref>; <xref ref-type="bibr" rid="B22">Herrera et al., 2015</xref>). This could also affect and reduce EW activity in a similar manner as TC activity is modulated by changes in the mean vertical wind shear between El Ni&#xf1;o and La Ni&#xf1;a years (<xref ref-type="bibr" rid="B30">Lin et al., 2020</xref>). The reduction in EW or TC activity contribute to reduce intense tropical convection over the Caribbean Sea (<xref ref-type="bibr" rid="B54">Taylor et al., 2002</xref>), and consequently result in dry years in the region.</p>
</sec>
<sec id="s4-5">
<title>EWs and intense precipitation events</title>
<p>Various studies show that intense EWs propagate across the Atlantic into the Yucatan Peninsula, the Gulf of Mexico and central southern Mexico, inducing low-level moisture convergence, ascending motion, and convective activity (e.g., <xref ref-type="bibr" rid="B27">Ladwig and Stensrud, 2009</xref>). This may be shown by means of one-point lagged-correlations between band-pass filtered 3&#x2013;6&#xa0;days anomalies of PW in the central Caribbean (75&#xb0;W, 16&#xb0;N), and the VIMF and PW across the tropical region, for lags &#x2212;3, 0, and &#x2b;3&#xa0;days (<xref ref-type="fig" rid="F10">Figure 10</xref>). The analysis shows that 3&#xa0;days prior to a maximum in PW over the central Caribbean (<xref ref-type="fig" rid="F10">Figure 10A</xref>) an EW like structure is observed over the Caribbean. The sequence of positive-negative correlations in VIMF anomalies (VIMF cyclonic and anticyclonic circulations) resembles <xref ref-type="fig" rid="F1">Figure 1B</xref>, with a wavelength of around 3,000&#xa0;km. The lag &#x2212;3 correlations with PW shows a series of positive and negative correlations with PW over the Atlantic. The VIMF vortices associated with EWs propagate from the coast of Africa towards the IAS, almost in phase with a negative (positive) anomaly of PW, as in the traditional EW model (<xref ref-type="bibr" rid="B47">Riehl, 1954</xref>). The 0&#xa0;days lag correlation shows a cyclonic circulation in phase with a positive PW anomaly over the central Caribbean (<xref ref-type="fig" rid="F10">Figure 10B</xref>). The sequence of cyclonic-anticyclonic vortices of VIMF and positive-negative correlations with PW propagate from the Central Atlantic to southern Mexico and into the Yucatan Peninsula, with a northwestward propagation towards the Gulf of Mexico, following the mean flow associated with the CLLJ. The &#x2b;3&#xa0;days lagged correlation shows that the wave reaches southern Mexico and extends to the eastern Pacific (<xref ref-type="fig" rid="F10">Figure 10C</xref>), as shown by <xref ref-type="bibr" rid="B20">Fuller and Stensrud (2000)</xref>. The structure of vortices in the VIMF field is related to an EW is present over most of the Caribbean and southern Mexico. The anticyclonic vortex in the VIMF and negative correlation indicates diminished PW over the central Caribbean 2&#xa0;days after its passage over the central Caribbean.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Lagged-cross correlations (significant at the 95%), between PW in the central Caribbean Sea (green dot) and PW and VIMF (vectors) in the tropical Atlantic and IAS region, from June to September for <bold>(A)</bold> lag &#x3d; &#x2212;3&#xa0;days, <bold>(B)</bold> lag &#x3d; 0&#xa0;days and <bold>(C)</bold> lag &#x3d; &#x2b;3&#xa0;days.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g010.tif"/>
</fig>
<p>The previous analysis shows that the direction of propagation and extent of an EW may well affect most of the Caribbean Sea as well as Mexico, making this type of tropical wave an important moisture producing synoptic scale system during summer. The induced increases in PW frequently result in intense precipitation events as in the Yucatan peninsula.</p>
<p>EWs moisture convergence may lead to intense precipitation (&#x3e;30&#xa0;mm <inline-formula id="inf1">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:msup>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>) in parts of the IAS. A composite pattern of the wind field at 700&#xa0;hPa, VIMF convergence and OLR (below 210&#xa0;Wm<sup>&#x2212;2</sup>) when intense precipitation (pcp &#x3e; 30&#xa0;mm day<sup>-1</sup>) events in the eastern part of the Yucatan peninsula (<xref ref-type="fig" rid="F11">Figure 11</xref>) shows the presence of an EW. The composite field corresponds to days when the precipitation over 30&#xa0;mm day<sup>&#x2013;1</sup> is measured in at least three out of six weather stations (green dots), without including days of intense precipitation associated with TCs. The wavelength of the resulting EW pattern is of the order of 3,000&#xa0;km and the most intense tropical convection (OLR &#x3c; 210&#xa0;Wm<sup>&#x2212;2</sup>) occurs east of the axis of the inverted trough, where intense convergence of VIMF (up to &#x2212;20&#xa0;mm day<sup>&#x2013;1</sup>) is observed. The passage of an EW over the Yucatan Peninsula implies the movement of a kind of &#x201c;moisture packet&#x201d; in the VIMF field, along with ascending motion that results in enhanced tropical convection.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Composite pattern of the wind field at 700&#xa0;hPa (vectors in m s<sup>&#x2013;1</sup>), the divergence (blue lines) and convergence (red lines) of VIMF (mm day<sup>&#x2013;1</sup>) and OLR below 210&#xa0;Wm<sup>&#x2212;2</sup> (shades of green), when precipitation is above 30&#xa0;mm day<sup>&#x2013;1</sup> in at least three out of six weather stations in the eastern part of the Yucatan Peninsula (green dots) for the period June-September between 1979&#x2013;2018. The composite does not include days of intense precipitation associated with TCs, Some studies suggest that the westward EW propagation continues and reaches the Mexican Pacific coast and the Gulf of California to enhance the North American Monsoon convective activity (<xref ref-type="bibr" rid="B1">Adams and Stensrud, 2007</xref>). The use of VIMF may provide information on how the EW moisture packet may induce active periods in the monsoon.</p>
</caption>
<graphic xlink:href="feart-11-1223939-g011.tif"/>
</fig>
</sec>
</sec>
<sec id="s5">
<title>Summary and conclusion</title>
<p>EW activity is a dominant form of high frequency variability in the IAS regions, contrary to what some climatologies appear to suggest. Although less energetic than their counterpart off the western coast of Africa, EWs over the IAS are frequent and modulate tropical local convection in a region where their ascending motions are important to counterbalance the dominant intense subsidence.</p>
<p>The summer rainy season over Mexico, Central America, and the Caribbean exhibits large intraseasonal and interannual fluctuations that may depend on the high frequency transient activity related to EWs. The interaction between EWs and the CLLJ is important to explain a good or bad rainy EW season. Strong EWs propagate across the Atlantic and reach the central Caribbean, where they frequently deflect into the Yucatan Peninsula. In this region, the passage of an EW and the associated moisture convergence may induce intense precipitation events of more than 30&#xa0;mm day<sup>&#x2212;1</sup>.</p>
<p>EW activity over the Caribbean Sea tends to increase under a relatively weak CLLJ, as during La Ni&#xf1;a years, since this condition tends to result in warmer SSTs and more humid atmospheric conditions over the Caribbean, and probably a weaker vertical wind shear that allows the development of deep tropical convection. On the contrary, an anomalously intense CLLJ tends to inhibit the development of deep tropical convection in the EW which reflects in anomalously low EW activity. From this perspective, the intensity of the CLLJ becomes a key factor to explain years of intense or weak EW activity and rains in the central southern part of Mexico.</p>
<p>Given that EWs act as &#x201c;moisture packets&#x201d; that induce intense precipitation they may constitute a mechanism that induces intense precipitation in other parts of Mexico. This is an interesting aspect of the relationship between EWs and storms that has been known by experienced meteorologists in the region. The dynamics of this process is worth exploring. In this way, the present results may serve to determine the likelihood of intense precipitation even when there are no TCs present. Monitoring the &#x201c;moisture packets&#x201d; associated with EWs by looking at the daily soundings of wind and moisture content across the IAS region may serve to predict intense precipitation events. The National Hurricane Center Upper-Air Time Section Analyses (<ext-link ext-link-type="uri" xlink:href="https://www.nhc.noaa.gov/index_station.shtml">https://www.nhc.noaa.gov/index_station.shtml</ext-link>) are valuable sources of information.</p>
<p>On interannual time scales, climate outlooks of EW activity may be prepared based on the expected condition of the CLLJ and atmospheric moisture conditions in the tropical Atlantic, providing a hint on the likelihood of a relatively wet or dry summer season over Mexico, Central America and the IAS region. It is not only the intensity of the CLLJ what is of relevance for an outlook of this kind, but also its dominant direction into the Gulf of Mexico or the eastern tropical Pacific, since, as suggested by <xref ref-type="bibr" rid="B34">M&#xe9;ndez and Maga&#xf1;a (2010)</xref>, this quasi-stationary circulation appears to act as a wave guide for EWs. In any event, the transient mean flow interaction process associated with EWs and the CLLJ should be further explored to determine the conditions that favor the amplification of EWs in a barotropically instability process, as these transients pass over the central Caribbean region.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>All authors contributed to the study conception and design. Figures preparation, data collection and analysis were performed by VM, EH, and MP. The first draft of the manuscript was written by VM and all authors commented on previous versions of the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This study was funded by the CONAHCYT Grant PCC-319779 and DGAPA IA105123.</p>
</sec>
<ack>
<p>A valuable scientific discussion was conducted with Nuria Vargas and Sonia D&#xed;az. The technical support of Gustavo V&#xe1;zquez is highly appreciated. We also thank the support of the Instituto de Ciencias de la Atm&#xf3;sfera y Cambio Clim&#xe1;tico and the Instituto de Geograf&#xed;a, UNAM. Comments by two reviewers are appreciated.</p>
</ack>
<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>
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