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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">867642</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2022.867642</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A Positive Climatic Trend in the Global Offshore Wind Power</article-title>
<alt-title alt-title-type="left-running-head">Zheng et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Global Trend in Offshore Wind Power</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zheng</surname>
<given-names>Chong-wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/536240/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yi</surname>
<given-names>Cheng-tao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shen</surname>
<given-names>Chong</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1662001/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yu</surname>
<given-names>De-chuan</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xiao-lu</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Wen-kai</given-names>
</name>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wei</surname>
<given-names>Yong</given-names>
</name>
<xref ref-type="aff" rid="aff10">
<sup>10</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Yun-ge</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jin</surname>
<given-names>Xin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jia</surname>
<given-names>Shuai-dong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wu</surname>
<given-names>Di</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wei</surname>
<given-names>Ding-jiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Xiao-feng</given-names>
</name>
<xref ref-type="aff" rid="aff11">
<sup>11</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tian</surname>
<given-names>Yan-yan</given-names>
</name>
<xref ref-type="aff" rid="aff12">
<sup>12</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Wen</given-names>
</name>
<xref ref-type="aff" rid="aff13">
<sup>13</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xiao</surname>
<given-names>Zi-niu</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1292846/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Dalian Naval Academy</institution>, <addr-line>Dalian</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Marine Resources and Environment Research Group</institution>, <addr-line>Dalian</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG)</institution>, <institution>Institute of Atmospheric Physics</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Shandong Provincial Key Laboratory of Ocean Engineering</institution>, <institution>Ocean University of China</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>State Key Laboratory of Marine Resource Utilization in South China Sea</institution>, <institution>Hainan Provincial Key Lab of Fine Chemistry</institution>, <institution>Hainan University</institution>, <addr-line>Haikou</addr-line>, <country>China</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>School of Textile and Material Engineering</institution>, <institution>Dalian Polytechnic University</institution>, <addr-line>Dalian</addr-line>, <country>China</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Yantai Institute of Coastal Zone Research</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Yantai</addr-line>, <country>China</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>Yantai Central Station of Marine Environmental Monitoring</institution>, <institution>Ministry of Natural Resources of the People&#x2019;s of China</institution>, <addr-line>Yantai</addr-line>, <country>China</country>
</aff>
<aff id="aff9">
<sup>9</sup>
<institution>School of Materials Science and Engineering</institution>, <institution>Dalian Jiaotong University</institution>, <addr-line>Dalian</addr-line>, <country>China</country>
</aff>
<aff id="aff10">
<sup>10</sup>
<institution>No. 31008 of PLA</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff11">
<sup>11</sup>
<institution>College of Meteorology and Oceanography</institution>, <institution>National University of Defense Technology</institution>, <addr-line>Changsha</addr-line>, <country>China</country>
</aff>
<aff id="aff12">
<sup>12</sup>
<institution>National Research Center for Geoanalysis</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff13">
<sup>13</sup>
<institution>Department of Atmospheric and Oceanic Science</institution>, <institution>Institute of Atmospheric Sciences</institution>, <institution>Fudan University</institution>, <addr-line>Shanghai</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/1136655/overview">Adem Akpinar</ext-link>, Uluda&#x11f; University, Turkey</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/1665246/overview">Margarita Shtremel</ext-link>, P. P. Shirshov Institute of Oceanology (RAS), Russia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1143081/overview">Bahareh Kamranzad</ext-link>, Kyoto University, Japan</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Chong-wei Zheng, <email>chinaoceanzcw@sina.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Wind Energy, a section of the journal Frontiers in Energy Research</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>867642</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>03</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Zheng, Yi, Shen, Yu, Wang, Wang, Zhang, Wei, Chen, Li, Jin, Jia, Wu, Wei, Zhao, Tian, Zhou and Xiao.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zheng, Yi, Shen, Yu, Wang, Wang, Zhang, Wei, Chen, Li, Jin, Jia, Wu, Wei, Zhao, Tian, Zhou and Xiao</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>The climatic variation of offshore wind energy has a close relationship with the long-term plan of energy utilization. However, the work on this aspect is scarce and mainly focuses on the variation of wind power density (WPD). There is little research on the climatic trends of effective wind speed occurrence (EWSO) and occurrence of energy level greater than 200&#xa0;W/m<sup>2</sup> (rich level occurrence, RLO), which are directly related to the available rate and richness of wind energy. Based on the ERA-Interim wind product from the ECMWF, this study calculated the climatic trends of series of key factors of wind energy in the global oceans, including the WPD, EWSO, and RLO. The results show that the wind energy exhibits a positive trend globally for the past 36&#xa0;years, with overall annual increasing trends in WPD, EWSO, and RLO, of 0.698 (W/m<sup>2</sup>)/yr, 0.076%/yr, and 0.090%/yr separately. The annual trend exhibits evident regional differences. The areas with significant increasing trends are mainly distributed in the mid- low-latitude waters of global oceans and part of the southern hemisphere westerlies. The annual increasing trend of WPD is strongest in the southern westerlies, especially in the extratropical South Pacific (ETSP), of about 1.64 (W/m<sup>2</sup>)/yr. The annual increasing trends of EWSO and RLO are strongest in the tropical waters, especially the tropical Pacific Ocean (TPO), of 0.17%/yr and 0.19%/yr separately. The annual and seasonal WPD, EWSO, and RLO in most global oceans have significant increasing trends or no significant variation, meaning that the wind energy trends are rich or stable, which is beneficial for energy development. The climatic trends of wind energy are dominated by different time periods. There is no evident abrupt change of wind energy in the extratropical waters globally and tropical Atlantic Ocean (TAO). The abrupt periods of wind energy in the TIO and TPO occurred in the end of the 20th century and the beginning of the 21st century. The wind energy of the South China Sea, Arabian Sea, and the Bay of Bengal and nino3 index share a common period of approximately 5&#xa0;years. The offshore wind energy was controlled by an oscillating phenomenon.</p>
</abstract>
<kwd-group>
<kwd>global ocean</kwd>
<kwd>wind energy resource</kwd>
<kwd>wind power density</kwd>
<kwd>effective wind speed occurrence</kwd>
<kwd>rich level occurrence</kwd>
<kwd>climatic trend</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Highlights</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; We systematically presented the climatic trends of series of wind energy factors (WPD, EWSO, and&#x20;RLO).</p>
</list-item>
<list-item>
<p>&#x2022; A positive climatic trend in the global offshore wind energy was&#x20;found.</p>
</list-item>
<list-item>
<p>&#x2022; The climatic trend exhibits obvious regional and seasonal differences.</p>
</list-item>
<list-item>
<p>&#x2022; The annual increasing trend of WPD is strongest in the southern westerlies.</p>
</list-item>
<list-item>
<p>&#x2022; The annual increasing trends of EWSO and RLO are strongest in the tropical waters.</p>
</list-item>
<list-item>
<p>&#x2022; The global offshore wind energy was controlled by an oscillating phenomenon.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2">
<title>Introduction</title>
<p>Given the current background of ongoing environmental and resource issues, the full development and utilization of renewable energy (such as wave energy and offshore wind energy) can effectively alleviate the energy crisis and contribute to emission reduction and environmental protection (<xref ref-type="bibr" rid="B35">Xydis, 2016</xref>; <xref ref-type="bibr" rid="B22">Khojasteh et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B1">Akp&#x131;nar et&#x20;al., 2019</xref>), thus promoting the sustainable development of human society and isolated islands. Understanding the energy characteristics is important for the efficient development of wind energy resources.</p>
<p>Studies have been provided by the previous researchers to reveal the spatial distribution of renewable energy resources. <xref ref-type="bibr" rid="B4">Amirinia et&#x20;al. (2017)</xref> presented an analysis on the wind energy of the southern Caspian Sea using uncertainty analysis. They found total exploitable wind energy of 915&#xa0;GWh in this area. <xref ref-type="bibr" rid="B28">Soares et&#x20;al. (2020)</xref> carried out offshore wind energy resources in global oceans using the new ERA-5 reanalysis. The widespread gains (ranging between &#x2b;5% and &#x2b;50%) throughout the global economic exclusive zones and no losses for all seasons. Also, the wind power density is 800&#xa0;W/m<sup>2</sup> in the mid- and high latitudes, and higher than 400&#xa0;W/m<sup>2</sup> along the Eastern Boundary Current Systems. <xref ref-type="bibr" rid="B33">Wen et&#x20;al. (2021)</xref> analyzed the offshore wind energy of the south and southeast coasts of China using Japanese 55-year reanalysis (JRA-55). The suggested future offshore wind power development is found to be the coasts of Hong Kong. <xref ref-type="bibr" rid="B13">Esteban et&#x20;al. (2009)</xref> designed an integral management applied to offshore wind farms. In this scheme, the territory, terrain, and physical&#x2013;chemical properties of the contact area between the atmosphere and the ocean were considered, which has an important reference for the wind power plant site selection. <xref ref-type="bibr" rid="B9">Chen et&#x20;al. (2020)</xref> presented an assessment of wind energy of seven sites in the Beibu Gulf using observation data. The results show that the annual mean wind power density at 100&#xa0;m above mean sea level was, respectively, 605.6, 542.0, 368.0, 282.0, 265.6, 87.6, and 321.5&#xa0;W/m<sup>2</sup> at the seven sites. <xref ref-type="bibr" rid="B2">Akp&#x131;nar et&#x20;al. (2021)</xref> analyzed the spatial characteristics of wind and wave parameters over the Sea of Marmara. They found that the highest mean wind speeds are observed in winter and the lowest in spring. <xref ref-type="bibr" rid="B20">Higgins and Foley (2014)</xref> analyzed the offshore wind power in the United&#x20;Kingdom. They pointed out that the United&#x20;Kingdom has the potential to continue to lead the world in offshore wind power as it has over 48&#xa0;GW of offshore wind power projects at different stages of operation and development. <xref ref-type="bibr" rid="B19">Higgins et&#x20;al. (2014)</xref> analyzed the impact of offshore wind power forecast on the electricity cost. Results show that the impact from wind power forecast error can be up to 2000&#xa0;MW. <xref ref-type="bibr" rid="B11">Devlin et&#x20;al. (2017)</xref> pointed out that gas generation is crucially important to the continued growth of renewable energy. <xref ref-type="bibr" rid="B6">Bosch et&#x20;al. (2018)</xref> pointed out that 64,845&#xa0;TWh is available globally in shallow waters (0&#x2013;40&#xa0;m), while 103,852&#xa0;TWh is located within 10&#x2013;50&#xa0;km of the coastline globally using global wind speeds from the National Aeronautics and Space Administration (NASA) Modern-Era Retrospective analysis for Research and Applications, version 2 (MERRA-2) reanalysis data set. <xref ref-type="bibr" rid="B25">Liu et&#x20;al. (2017)</xref> found a significant increasing trend in gale days in the South China Sea and North Indian Ocean for 1988&#x2013;2011, using CCMP wind data. The area with a strong increasing trend is located in the Taiwan Strait, Luzon Strait, and the Indo-China Peninsula waters. <xref ref-type="bibr" rid="B8">Capps and Zender (2009)</xref> calculated the 80&#xa0;m wind power in global oceans using satellite observation data. They pointed out that the 80&#xa0;m wind power is 1.2&#x2013;1.5&#x20;times 10&#xa0;m power equatorward of 30 latitude, 1.4&#x2013;1.7&#x20;times 10&#xa0;m power in wintertime storm track regions, and above 6&#x20;times 10&#xa0;m power in stable regimes east of continents. <xref ref-type="bibr" rid="B36">Young et&#x20;al. (2011)</xref> found a general global increasing wind speed (WS) trend for the period 1991&#x2013;2008, utilizing an 18-year database of calibrated and validated satellite altimeter measurements. <xref ref-type="bibr" rid="B30">Thomas et&#x20;al. (2008)</xref> pointed out that for the period 1982&#x2013;2002, the WS trend remained within the annual mean for spatially averaged adjusted winds, 4&#xa0;(cm/s)/yr for estimated speeds and 2&#xa0;cm&#xa0;s<sup>&#x2212;1</sup>&#xa0;yr<sup>&#x2212;1</sup> for measured speeds, over most of the global oceans.</p>
<p>There are many research studies on the long-term trends of meteorological and marine elements. However, the research on the climatic trend of wind energy is scarce, although it is one of the most important points to consider in wind power plant site selection and long-term planning. <xref ref-type="bibr" rid="B38">Zheng et&#x20;al. (2017)</xref> presented the recent decadal trend in wind power density (WPD) of the North Atlantic, and they pointed out that the North Atlantic WPD exhibited a significant increasing trend of 4.45&#xa0;(W/m<sup>2</sup>)/yr for the period 1988&#x2013;2011. <xref ref-type="bibr" rid="B21">Jiang et&#x20;al. (2019)</xref> calculated the trends of sea surface wind energy over the South China Sea using 24-year Cross-Calibrated Multi-Platform (CCMP) wind data. The trend was greatest in winter, followed by spring, and smallest in summer and autumn. As a whole, the existing research is mainly focused on the variation of WPD. The analysis on the climatic variations of the energy availability and richness is almost blank, although they are closely related to the wind energy utilization. In the actual development of wind energy, the long-term planning of wind energy schemes is concerned not only with the climatic trend of the WPD but also with the trends of the EWSO and occurrence of the energy level greater than 200&#xa0;W/m<sup>2</sup> (rich level occurrence, RLO) that directly determined the wind energy utilization rate and energy richness. This study comprehensively calculated the long-term trends of the aforementioned key factors globally, in hope of providing reference for the long-term plan of wind energy utilization and analysis of global climate change.</p>
</sec>
<sec id="s3">
<title>Methodology and Data</title>
<sec id="s3-1">
<title>Data</title>
<p>The ERA-Interim wind data are hosted at the European Centre for Medium-Range Weather Forecasts (ECMWF), which is a new production after the ERA-40. There also exists a great improvement in the assimilation method and application of observation data. Its time resolution is 6&#x20;hourly intervals. The spatial resolution covers 0.125&#xb0; &#xd7; 0.125&#xb0;, 0.25&#xb0; &#xd7; 0.25&#xb0;, 0.5&#xb0; &#xd7; 0.5&#xb0;,..., 2.5&#xb0; &#xd7; 2.5&#xb0;. In this study, the spatial resolution of 0.25&#xb0; &#xd7; 0.25 &#xb0; is used. It covers the time range from January 1979 to December 2014 and a space range of 90&#xb0;S&#x2013;90&#xb0;N and 0.0&#xb0;E&#x2013;359.875&#xb0;E. The ERA-Interim wind data are proved to have a high precision than the observation data (<xref ref-type="bibr" rid="B10">Dee et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B29">Song et&#x20;al., 2015</xref>) and can be available at <ext-link ext-link-type="uri" xlink:href="https://apps.ecmwf.int/datasets/data/interim-full-daily/levtype=sfc/">https://apps.ecmwf.int/datasets/data/interim-full-daily/levtype&#x3d;sfc/</ext-link> (<xref ref-type="bibr" rid="B14">European Centre for Mediu, 2011</xref>).</p>
</sec>
</sec>
<sec sec-type="methods" id="s4">
<title>Methods</title>
<p>Generally, the WS of 5&#x2013;25&#xa0;m/s is suitable for wind energy utilization (<xref ref-type="bibr" rid="B26">Miao et&#x20;al., 2012</xref>), which was regarded as effective WS. Obviously, the EWSO is directly related to the wind energy utilization rate. Usually, wind energy with a WPD greater than 200&#xa0;W/m<sup>2</sup> is considered to be abundant. <xref ref-type="bibr" rid="B37">Zheng et&#x20;al. (2013)</xref> defined the occurrence of energy levels greater than 200&#xa0;W/m<sup>2</sup> as rich level occurrence (RLO). As a result, this study presented the climatic trends of series of key factors of wind energy, comprehensively including the WPD, EWSO, and RLO, to provide scientific reference for the long-term planning of wind energy development and analysis on the global climatic change.</p>
<p>First, the 6-hourly global offshore WPD of 10&#xa0;m above the sea surface at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point for the period 1979.01&#x2013;2014.12 is obtained based on the ERA-Interim wind product and calculation method for WPD (<xref ref-type="bibr" rid="B7">Capps and Zender, 2010</xref>). Based on the 6-hourly WS data and WPD data, the EWSO and RLO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point of each month for the period 1979.01&#x2013;2014.12 are counted separately. Then, the spatial&#x2013;temporal distributions of WPD, EWSO, and RLO were exhibited.</p>
<p>Second, the climatic trend of global offshore wind energy resource was calculated, systematically including the overall annual trend, regional difference of the annual trend, seasonal difference of the trend, dominant season of the trend, and the trends of key regions in different months. Using the linear regression method, the overall annual trends of global WPD, EWSO, and RLO for the past 36&#xa0;years (1979&#x2013;2014) are calculated. In order to exhibit the regional difference of the climatic trend, the annual trend of WPD at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point is calculated. Similarly, the regional differences of the annual trends in EWSO and RLO are also calculated separately. To reveal the seasonal difference of the trend, the trends of WPD, EWSO, and RLO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point in MAM (March-April-May), JJA (June-July-August), SON (September-October-November), and DJF (December-January-February) are calculated separately, and the dominant season of the trend was also presented.</p>
<p>In addition, the Mann&#x2013;Kendall (M-K) test and wavelet analysis methods were employed to calculate the abrupt change and variation period of wind energy in the global oceans separately. At last, an analysis on the relationship between the wind energy and key oscillating phenomenon in the global oceans was also carried out, to reveal the mechanism of the climatic variation of wind energy.</p>
<p>The calculation methods of WPD, RLO, and EWSO are as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>2</mml:mn>
</mml:mfrac>
<mml:mi>&#x3c1;</mml:mi>
<mml:msup>
<mml:mi>V</mml:mi>
<mml:mn>3</mml:mn>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>O</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mi>T</mml:mi>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>O</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mi>T</mml:mi>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>WPD</italic> is the wind power density (unit: W/m<sup>2</sup>), <italic>V</italic> is the wind speed (unit: m/s), and <inline-formula id="inf1">
<mml:math id="m4">
<mml:mi>&#x3c1;</mml:mi>
</mml:math>
</inline-formula> is the surface air density (unit: kg/m<sup>3</sup>), while the last one is usually 1.225&#xa0;kg/m<sup>3</sup> under standard conditions for temperature and pressure with an altitude below 500&#xa0;m (<xref ref-type="bibr" rid="B7">Capps and Zender, 2010</xref>). EWSO is the effective wind speed occurrence (unit: %), and <italic>t</italic>
<sub>
<italic>1</italic>
</sub> is the number of time steps with wind speed between 5 and 25&#xa0;m/s. RLO is the rich level occurrence (unit: %), and <italic>t</italic>
<sub>
<italic>2</italic>
</sub> represents the time steps with WPD greater than 200&#xa0;W/m<sup>2</sup>. <italic>T</italic> represents the total number of time steps analyzed.</p>
<p>The Thiessen polygon method was as follows:<disp-formula id="e4">
<mml:math id="m5">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>R</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
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<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mtext>A</mml:mtext>
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<mml:msub>
<mml:mi>R</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <italic>A</italic>
<sub>
<italic>i</italic>
</sub> is the area of each Thiessen polygon and <italic>R</italic>
<sub>
<italic>i</italic>
</sub> is the value of WPD at each grid point. The Thiessen polygon method mainly includes the following steps: 1) draw lines joining adjacent gages, 2) draw perpendicular bisectors to the lines created in the first step, 3) extend the lines created in the second step in both directions to form representative areas for gages, 4) compute the representative area of each gage, and 5) compute the areal average using <xref ref-type="disp-formula" rid="e4">formula&#x20;4</xref>.</p>
<p>The M-K test method was as follows. Construct a rank series for a time series x with n sample size as follows (<xref ref-type="bibr" rid="B32">Wang, 2020</xref>):<disp-formula id="e5">
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</mml:mrow>
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</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m7">
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</mml:mtable>
</mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
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</mml:msup>
</mml:mrow>
</mml:msqrt>
<mml:mrow>
<mml:mo>(</mml:mo>
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</mml:mrow>
<mml:mo>.</mml:mo>
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</mml:math>
<label>(6)</label>
</disp-formula>Define the following statistics under the hypothesis that the time series x is randomly independent as follows:<disp-formula id="e7">
<mml:math id="m8">
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
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<label>(7)</label>
</disp-formula>
<disp-formula id="e8">
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<mml:mo>/</mml:mo>
<mml:mn>72</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<disp-formula id="e9">
<mml:math id="m10">
<mml:mrow>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mtable columnalign="left">
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<mml:mi>B</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
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<mml:mo>&#x3d;</mml:mo>
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<mml:mo>(</mml:mo>
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</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where <italic>UF</italic>
<sub>1</sub> &#x3d; 0, ans E (S<sub>k</sub>) and Var(S<sub>k</sub>) are the average value and variance of S<sub>k</sub>, respectively. <italic>UF</italic>
<sub>i</sub> abides by the standard normal distribution, which is a sequence of statistics calculated in time series <italic>x</italic> order <italic>x</italic>
<sub>1</sub>, <italic>x</italic>
<sub>2</sub>,&#x2026;,&#x20;<italic>x</italic>
<sub>n</sub>.</p>
</sec>
<sec sec-type="results" id="s5">
<title>Results</title>
<sec id="s5-1">
<title>Spatial&#x2013;Temporal Distribution of Wind Power Density, Effective Wind Speed Occurrence, and Rich Level Occurrence</title>
<p>Averaging the WPD from 1979.01.01 to 2014.12.31, the multi-year average WPD at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point globally is obtained, as shown in <xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>. The large areas of WPD are mainly distributed in the southern hemisphere westerlies (&#x3e;800&#xa0;W/m<sup>2</sup>) and the northern hemisphere westerlies (&#x3e;600&#xa0;W/m<sup>2</sup>). The relative indigent areas are small and mainly distributed in the low-latitude waters (&#x3c;200&#xa0;W/m<sup>2</sup>). Wind energy resources with a WPD greater than 200&#xa0;W/m<sup>2</sup> are generally considered to be abundant. Obviously, most of the global oceans are rich in wind energy resources. <xref ref-type="bibr" rid="B39">Zheng and Pan (2014)</xref> calculated the global offshore WPD using 24-year CCMP wind data. The results show that the large areas of wind energy density are mainly distributed in westerlies, of above 800&#xa0;W/m<sup>2</sup> in the southern hemisphere westerlies and above 600&#xa0;W/m<sup>2</sup> in the northern hemisphere westerlies. The area scope with WPD greater than 1,200&#xa0;W/m<sup>2</sup> in the southern&#x20;hemisphere westerlies of this study is slightly larger than that of <xref ref-type="bibr" rid="B39">Zheng and Pan (2014)</xref>, while the area scope with WPD greater than 1000&#xa0;W/m<sup>2</sup> in the North Atlantic Ocean westerly of this study is smaller than that of <xref ref-type="bibr" rid="B39">Zheng and Pan (2014)</xref> and <xref ref-type="bibr" rid="B24">Liu et&#x20;al. (2008)</xref>. <xref ref-type="bibr" rid="B18">Guo et&#x20;al. (2018)</xref> analyzed the global offshore wind energy using scatterometers (QuikSCAT, ASCAT) and radiometers (WindSAT). Both the area scopes with WPD greater than 1,200&#xa0;W/m<sup>2</sup> in the southern hemisphere westerlies and area scope with WPD greater than 1,000&#xa0;W/m<sup>2</sup> in the northern hemisphere westerlies obtained by <xref ref-type="bibr" rid="B18">Guo et&#x20;al. (2018)</xref> are larger than that of this study. As a whole, there is consistency between this study and <xref ref-type="bibr" rid="B39">Zheng and Pan (2014)</xref>, <xref ref-type="bibr" rid="B24">Liu et&#x20;al. (2008)</xref> and <xref ref-type="bibr" rid="B18">Guo et&#x20;al. (2018)</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Multi-year average wind power density <bold>(A)</bold>, effective wind speed occurrence <bold>(B)</bold>, and rich level occurrence <bold>(C)</bold> in the global oceans.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g001.tif"/>
</fig>
<p>The EWSO and RLO in each month for the period 1979.01&#x2013;2014.12 are counted separately, based on the 6-hourly WS data and WPD data. Then, the multi-year average EWSO and RLO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point are obtained, by averaging the EWSO and RLO from 1979.01 to 2014.12 separately, as shown in <xref ref-type="fig" rid="F1">Figures 1B,C</xref>. Obviously, the EWSO is optimistic, of &#x3e;60% in most of the global oceans. The southern and the northern hemisphere westerlies are the large regions. It is worth noting that there exist several large areas of EWSO in the mid-low-latitude waters of global oceans (even &#x3e;90% in the large center), meaning an optimistic wind energy utilization rate although they are not distributed in the large area of WPD. The spatial distribution feature of the RLO is similar to that of&#x20;EWSO.</p>
</sec>
<sec id="s5-2">
<title>Overall Trends of the Global Oceanic Wind Power Density, Effective Wind Speed Occurrence, and Rich Level Occurrence</title>
<p>Averaging the WPD from 0000 UTC on 1 January 1979 to 1800 UTC on 31 December 1979, an annual mean value of WPD at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point is obtained. Then, a zonal average value of WPD for global oceans in 1979 was obtained using the Thiessen polygon method. Using the same method, zonal and annual mean values of WPD for global oceans for the period 1979&#x2013;2014 were obtained. Then, the overall trend of the global oceanic WPD is calculated using the linear regression method, as shown in <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>. Similarly, the overall trends of WPD in the south global ocean and the north global ocean were also obtained, as shown in <xref ref-type="fig" rid="F2">Figures&#x20;2B,C</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Annual average wind power density in the global ocean <bold>(A)</bold>, south global ocean <bold>(B)</bold>, and the north global ocean <bold>(C)</bold> for the period 1979&#x2013;2014 and the long-term trends.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g002.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>, the correlation coefficient (R) of the WPD is 0.70, significant at the 0.001 level test (&#x7c;R&#x7c; &#x3d; 0.70 &#x3e; r<sub>0.001</sub> &#x3d; 0.51). The regression coefficient is 0.698. It means that the WPD exhibits a significant increasing trend of 0.698&#xa0;(W/m<sup>2</sup>)/yr in the global ocean as a whole for the period 1979&#x2013;2014. Similarly, the WPD in the south global ocean has a significant increasing trend of 1.068&#xa0;(W/m<sup>2</sup>)/yr (significant at the 0.001 level). The WPD in the north global ocean has a significant overall increasing trend, of 0.206&#xa0;(W/m<sup>2</sup>)/yr (significant at the 0.05 level). It is not hard to find that the WPD curve of the global ocean is similar to that of the south global ocean, while there is an obvious difference between the WPD curve of the global ocean and that of the north global ocean, meaning that the variation of the WPD in the global ocean is mainly dominated by the south global&#x20;ocean.</p>
<p>Based on the 6-hourly WS data from 0000 UTC on 1 January 1979 to 1800 UTC on 31 December 1979, the EWSO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point for global oceans in 1979 is counted. Then a zonal average value of EWSO for global oceans was obtained using the Thiessen polygon method. Similarly, 36 zonal and yearly mean values of EWSO were obtained. Then, the overall variation of the global EWSO is exhibited using the linear regression method, as shown in <xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>. Similarly, the overall variation of EWSO in the south global ocean and north global ocean was also presented separately, as shown in <xref ref-type="fig" rid="F3">Figures 3B,C</xref>. Obviously, the EWSO in the global ocean, south global ocean, and north global ocean has significant increasing trends (significant at the 0.001 level) of 0.076, 0.080, and 0.071%/yr separately (here, % is the EWSO, not the variation rate of EWSO, same as follows). It is also worth noting that the EWSOs in the global ocean, south global ocean, and north global ocean are optimistic, of above 60%. It is not hard to find that the EWSO of the global ocean is dominated by the south global&#x20;ocean.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Annual effective wind speed occurrence in the global ocean <bold>(A)</bold>, south global ocean <bold>(B)</bold>, and the north global ocean <bold>(C)</bold> for the period 1979&#x2013;2014 and the long-term trends.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g003.tif"/>
</fig>
<p>Based on the 6-hourly WPD data from 0000 UTC on 1 January 1979 to 1800 UTC on 31 December 1979, the RLO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point for global oceans in 1979 is counted. Then, a zonal average value of RLO for the global oceans was obtained. Similarly, 36 zonal and yearly mean values of RLO were obtained. Then, the overall variation of the global RLO is exhibited using the linear regression method, as shown in <xref ref-type="fig" rid="F4">Figure&#x20;4A</xref>. Similarly, the overall variation of RLO in the south global ocean and north global ocean was also presented separately, as shown in <xref ref-type="fig" rid="F4">Figures 4B,C</xref>. Obviously, the RLOs in the global ocean, south global ocean, and north global ocean have significant increasing trends (significant at the 0.001 level) for the past 36&#xa0;years, of 0.090, 0.110, and 0.064%/yr separately (here, % is the RLO, not the variation rate of RLO, same as follows).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Annual rich level occurrence in the global ocean <bold>(A)</bold>, south global ocean <bold>(B)</bold>, and the north global ocean <bold>(C)</bold> for the period 1979&#x2013;2014 and the long-term trends.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g004.tif"/>
</fig>
</sec>
<sec id="s5-3">
<title>Regional Differences of the Climatic Trends in the Wind Power Density, Effective Wind Speed Occurrence, and Rich Level Occurrence</title>
<p>
<xref ref-type="fig" rid="F2">Figure&#x20;2</xref> presents the overall trend of the WPD in the global ocean. To exhibit the regional difference, the annual trend of WPD at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point is calculated, as shown in <xref ref-type="fig" rid="F5">Figure&#x20;5A</xref>. The areas with significant increasing trends in WPD are mainly distributed in the Somali waters of 1&#x2013;3&#xa0;(W/m<sup>2</sup>)/yr, equator waters of the south Indian Ocean of 0&#x2013;2&#xa0;(W/m<sup>2</sup>)/yr, the mid-low latitude of the mid-east of the Pacific Ocean of 0&#x2013;4&#xa0;(W/m<sup>2</sup>)/yr, the low latitude of the South Atlantic Ocean of 0&#x2013;2&#xa0;(W/m<sup>2</sup>)/yr, and about half of the southern hemisphere westerlies of 3&#x2013;6&#xa0;(W/m<sup>2</sup>)/yr. The area range with a significant decreasing trend is small and mainly located in the south and southeast coast of Greenland and the middle of the North Pacific Ocean westerly. <xref ref-type="bibr" rid="B38">Zheng et&#x20;al. (2017)</xref> found a significant increasing trend of WPD in the southeast coast of Greenland. <xref ref-type="bibr" rid="B12">Earl et&#x20;al. (1980&#x2013;2010)</xref> found a decreasing trend in WPD, of &#x2212;3&#xa0;(W/m<sup>2</sup>)/yr, in the United&#x20;Kingdom for 1980&#x2013;2010, using data from a 40-station wind monitoring network. This study is consistent with the results of <xref ref-type="bibr" rid="B12">Earl et&#x20;al. (1980&#x2013;2010)</xref> and different from <xref ref-type="bibr" rid="B38">Zheng et&#x20;al. (2017)</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Annual climatic trends of the wind power density <bold>(A)</bold>, effective wind speed occurrence <bold>(B)</bold>, and rich level occurrence <bold>(C)</bold> in the global ocean. Only area significant at 95% level is presented.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g005.tif"/>
</fig>
<p>The annual trends of EWSO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point are presented in <xref ref-type="fig" rid="F5">Figure&#x20;5B</xref>. First, the EWSO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point for the year 1979 is counted, using the 6-hourly WS data. Similarly, the EWSO of each year at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point for the period 1979&#x2013;2014 is counted. Then, the annual trend of EWSO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point is calculated. The areas with significant increasing trends in EWSO are mainly distributed in the equator waters of the south Indian Ocean (of 0&#x2013;0.6%/yr, here % is the EWSO, not the variation rate of EWSO, same as follows), the mid-low latitude of the Pacific Ocean (0.2&#x2013;1.0%/yr), and some small regions. The area range with significant decreasing trends is small and mainly located in the low latitude of the North Atlantic Ocean and the north pole, of &#x2212;0.2&#x223c;0%/yr.</p>
<p>The same method in <xref ref-type="fig" rid="F5">Figure&#x20;5B</xref> is used to calculate the annual trends of RLO at each 0.25&#xb0; &#xd7; 0.25&#xb0; grid point, as shown in <xref ref-type="fig" rid="F5">Figure&#x20;5C</xref>. The areas with a significant increasing trend in RLO are mainly distributed in the low-latitude waters of the Indian Ocean and the mid-low-latitude waters of the Pacific Ocean, even up to 0.8%/yr (here % is the RLO, not the variation rate of RLO, same as follows) in the large center. The areas with a significant decreasing trend are distributed in the low-latitude waters of the mid-east of the North Atlantic Ocean, the mid-west of the North Pacific Ocean westerly, and the North&#x20;Pole.</p>
</sec>
<sec id="s5-4">
<title>Seasonal Differences of the Climatic Trends in the Wind Power Density, Effective Wind Speed Occurrence, and Rich Level Occurrence</title>
<p>To reveal the seasonal difference of the trend in the WPD, the method in <xref ref-type="fig" rid="F5">Figure&#x20;5A</xref> is employed to calculate the trends of WPD in MAM, JJA, SON, and DJF, as shown in <xref ref-type="fig" rid="F6">Figure&#x20;6</xref>. Irrespective of the season, the WPD in most of the global oceans has a significant increasing trend or no significant variation, while only some small regions have a significant decreasing trend, which is an optimistic trend (to be rich or stable) for wind energy development. Comparing <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> with <xref ref-type="fig" rid="F5">Figure&#x20;5A</xref>, the annual increasing trend of WPD in the Somali waters is mainly dominated by SON. The increasing trends in the equator of the south Indian Ocean and the mid-low latitude of the Pacific Ocean can be seen in each season. The increasing trend in the south Indian Ocean westerly is dominated by MAM and DJF. The increasing trend in South Pacific Ocean westerly is dominated by MAM, followed by SON. The decreasing trend in the low-latitude waters of the North Atlantic Ocean is dominated by JJA, followed by SON. The decreasing trend in the middle of the North Pacific Ocean westerly is mainly dominated by the MAM, JJA, and SON. <xref ref-type="bibr" rid="B21">Jiang et&#x20;al. (2019)</xref> have found a greater trend of increase in the northern areas of the South China Sea than in southern parts. The result in this study is consistent with <xref ref-type="bibr" rid="B21">Jiang et&#x20;al. (2019)</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Long-term trends of the wind power density in MAM <bold>(A)</bold>, JJA <bold>(B)</bold>, SON <bold>(C)</bold>, and DJF <bold>(D)</bold> in the global ocean. Only area significant at 95% level is presented.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g006.tif"/>
</fig>
<p>The method in <xref ref-type="fig" rid="F5">Figure&#x20;5B</xref> is used to calculate the trend of EWSO in each season, as shown in <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>. The EWSO exhibits no significant variation or a significant increasing trend globally in each season, while only some small regions have a significant decreasing trend, meaning a stable or increasing available rate of wind energy, which is beneficial for the wind energy development. The increasing trend of EWSO in the low-latitude waters of the Indo-Pacific Ocean is much stronger than that in other waters, especially in the mid-west equator of the Pacific Ocean (up to 0.8%/yr in each season). Comparing <xref ref-type="fig" rid="F7">Figure&#x20;7</xref> with <xref ref-type="fig" rid="F5">Figure&#x20;5B</xref>, the annual trend of EWSO in different areas is dominated by different seasons. The increasing trends in the equator of the south Indian Ocean and the mid-low latitude of the Pacific Ocean are dominated by MAM and DJF, followed by JJA and SON. The increasing trend in the mid-low latitude of the Pacific Ocean can be clearly seen in each season. The decreasing trend in the low-latitude waters of the North Atlantic Ocean is dominated by JJA and&#x20;SON.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Long-term trends of the effective wind speed occurrence in MAM <bold>(A)</bold>, JJA <bold>(B)</bold>, SON <bold>(C)</bold>, and DJF <bold>(D)</bold> in the global ocean. Only area significant at 95% level is presented.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g007.tif"/>
</fig>
<p>The method in <xref ref-type="fig" rid="F5">Figure&#x20;5C</xref> is used to calculate the trend of RLO in each season, as shown in <xref ref-type="fig" rid="F8">Figure&#x20;8</xref>. The RLO in most of the global oceans has no significant variation or a significant increasing trend, meaning a stable or increasing energy-rich rate. Comparing <xref ref-type="fig" rid="F8">Figure&#x20;8</xref> with <xref ref-type="fig" rid="F5">Figure&#x20;5C</xref>, the annual increasing trend of EWSO in the Somali waters is dominated by SON, followed by MAM. The annual increasing trends in the equator of the south Indian Ocean and the mid-low latitude of the Pacific Ocean can be reflected in each season. The decreasing trend in the low-latitude waters of the North Atlantic Ocean is dominated by JJA and&#x20;SON.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Climatic trends of the rich level occurrence in MAM <bold>(A)</bold>, JJA <bold>(B)</bold>, SON <bold>(C)</bold>, and DJF <bold>(D)</bold> in the global ocean. Only area significant at 95% level is presented.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g008.tif"/>
</fig>
</sec>
<sec id="s5-5">
<title>Monthly Trends of Wind Power Density, Effective Wind Speed Occurrence, and Rich Level Occurrence in Key Regions</title>
<p>Through the previous analysis, it is found that there are significant regional differences in the trend of wind energy resources. Referring to <xref ref-type="bibr" rid="B3">Alves (2006)</xref>, the global oceans were divided into several regions: tropical Indian Ocean (TIO), extratropical south Indian (ETSI), extratropical North Pacific (ETNP), tropical Pacific Ocean (TPO), extratropical South Pacific (ETSP), extratropical North Atlantic (ETNA), tropical Atlantic Ocean (TAO), and extratropical South Atlantic (ETSA), as shown in <xref ref-type="fig" rid="F9">Figure&#x20;9</xref>, to calculate and compare the climatic trends of WPD, EWSO, and RLO of the aforementioned regions in each month, as shown in <xref ref-type="table" rid="T1">Table&#x20;1</xref>.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Key areas: tropical Indian Ocean (TIO), extratropical south Indian (ETSI), extratropical North Pacific (ETNP), tropical Pacific Ocean (TPO), extratropical South Pacific (ETSP), extratropical north Atlantic (ETNA), tropical Atlantic Ocean (TAO), and extratropical South Atlantic (ETSA).</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g009.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Climatic trends of WPD, EWSO, and RLO in several key regions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Region</th>
<th align="center">Factor</th>
<th align="center">January</th>
<th align="center">February</th>
<th align="center">March</th>
<th align="center">April</th>
<th align="center">May</th>
<th align="center">June</th>
<th align="center">July</th>
<th align="center">August</th>
<th align="center">September</th>
<th align="center">October</th>
<th align="center">November</th>
<th align="center">December</th>
<th align="center">Annual</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">TIO</td>
<td align="left">WPD (W/m<sup>2</sup>)/yr</td>
<td align="char" char=".">0.62</td>
<td align="char" char=".">0.46</td>
<td align="char" char=".">0.88&#x2a;</td>
<td align="char" char=".">0.31</td>
<td align="char" char=".">0.15</td>
<td align="char" char=".">&#x2212;0.22</td>
<td align="char" char=".">0.72</td>
<td align="char" char=".">&#x2212;0.80&#x2a;</td>
<td align="char" char=".">1.05&#x2a;</td>
<td align="char" char=".">0.59</td>
<td align="char" char=".">0.31</td>
<td align="char" char=".">0.71&#x2a;</td>
<td align="char" char=".">0.40&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EWSO%/yr</td>
<td align="char" char=".">0.12&#x2a;</td>
<td align="char" char=".">0.15</td>
<td align="char" char=".">0.16&#x2a;&#x2a;</td>
<td align="char" char=".">0.10</td>
<td align="char" char=".">0.17&#x2a;</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.07&#x2a;</td>
<td align="char" char=".">&#x2212;0.02</td>
<td align="char" char=".">0.13&#x2a;&#x2a;</td>
<td align="char" char=".">0.15&#x2a;</td>
<td align="char" char=".">0.08</td>
<td align="char" char=".">0.15&#x2a;&#x2a;</td>
<td align="char" char=".">0.11&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">RLO%/yr</td>
<td align="char" char=".">0.11</td>
<td align="char" char=".">0.09</td>
<td align="char" char=".">0.14&#x2a;</td>
<td align="char" char=".">0.06</td>
<td align="char" char=".">0.07</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.08&#x2212;</td>
<td align="char" char=".">&#x2212;0.06</td>
<td align="char" char=".">0.15&#x2a;</td>
<td align="char" char=".">0.14&#x2a;</td>
<td align="char" char=".">0.07</td>
<td align="char" char=".">0.12&#x2212;</td>
<td align="char" char=".">0.08&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="3" align="left">ETSI</td>
<td align="left">WPD (W/m<sup>2</sup>)/yr</td>
<td align="char" char=".">1.63&#x2a;</td>
<td align="char" char=".">0.87</td>
<td align="char" char=".">1.03&#x2212;</td>
<td align="char" char=".">2.07&#x2a;&#x2a;</td>
<td align="char" char=".">1.82&#x2a;</td>
<td align="char" char=".">0.77</td>
<td align="char" char=".">1.95&#x2212;</td>
<td align="char" char=".">&#x2212;0.03</td>
<td align="char" char=".">1.21</td>
<td align="char" char=".">&#x2212;0.58</td>
<td align="char" char=".">0.69</td>
<td align="char" char=".">0.34</td>
<td align="char" char=".">0.98&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EWSO%/yr</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">&#x2212;0.01</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">&#x2212;0.02</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.01&#x2212;</td>
</tr>
<tr>
<td align="left">RLO%/yr</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">&#x2212;0.03</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.02</td>
</tr>
<tr>
<td rowspan="3" align="left">ETNP</td>
<td align="left">WPD (W/m<sup>2</sup>)/yr</td>
<td align="char" char=".">0.17</td>
<td align="char" char=".">1.22</td>
<td align="char" char=".">&#x2212;2.21&#x2a;</td>
<td align="char" char=".">&#x2212;0.24</td>
<td align="char" char=".">&#x2212;1.74&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;0.44</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">&#x2212;0.72&#x2a;&#x2a;</td>
<td align="char" char=".">0.27</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">&#x2212;1.19</td>
<td align="char" char=".">0.92</td>
<td align="char" char=".">&#x2212;0.33</td>
</tr>
<tr>
<td align="left">EWSO%/yr</td>
<td align="char" char=".">&#x2212;0.01</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">&#x2212;0.01</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">&#x2212;0.08</td>
<td align="char" char=".">&#x2212;0.04</td>
<td align="char" char=".">&#x2212;0.01</td>
<td align="char" char=".">&#x2212;0.09&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;0.01</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">&#x2212;0.02</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">&#x2212;0.01</td>
</tr>
<tr>
<td align="left">RLO%/yr</td>
<td align="char" char=".">&#x2212;0.01</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">&#x2212;0.03</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">&#x2212;0.11&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;0.05</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">&#x2212;0.10</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">&#x2212;0.04</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">&#x2212;0.02</td>
</tr>
<tr>
<td rowspan="3" align="left">TPO</td>
<td align="left">WPD (W/m<sup>2</sup>)/yr</td>
<td align="char" char=".">0.93&#x2a;</td>
<td align="char" char=".">0.70&#x2a;</td>
<td align="char" char=".">0.55&#x2212;</td>
<td align="char" char=".">0.74&#x2a;&#x2a;</td>
<td align="char" char=".">0.44&#x2212;</td>
<td align="char" char=".">1.05&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">1.40&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.61&#x2a;</td>
<td align="char" char=".">1.38&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.92&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.38&#x2212;</td>
<td align="char" char=".">0.87&#x2a;</td>
<td align="char" char=".">0.83&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EWSO%/yr</td>
<td align="char" char=".">0.18&#x2a;&#x2a;</td>
<td align="char" char=".">0.12&#x2a;&#x2a;</td>
<td align="char" char=".">0.13&#x2a;</td>
<td align="char" char=".">0.19&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.08&#x2212;</td>
<td align="char" char=".">0.16&#x2a;&#x2a;</td>
<td align="char" char=".">0.21&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.15&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.23&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.19&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.19&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.18&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.17&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">RLO%/yr</td>
<td align="char" char=".">0.19&#x2a;&#x2a;</td>
<td align="char" char=".">0.15&#x2a;&#x2a;</td>
<td align="char" char=".">0.14&#x2a;</td>
<td align="char" char=".">0.18&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.09</td>
<td align="char" char=".">0.21&#x2a;&#x2a;</td>
<td align="char" char=".">0.26&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.18&#x2a;&#x2a;</td>
<td align="char" char=".">0.29&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.21&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.18&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.25&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.19&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="3" align="left">ETSP</td>
<td align="left">WPD (W/m<sup>2</sup>)/yr</td>
<td align="char" char=".">1.32&#x2a;</td>
<td align="char" char=".">1.06</td>
<td align="char" char=".">2.22&#x2a;&#x2a;</td>
<td align="char" char=".">1.95&#x2a;</td>
<td align="char" char=".">2.54&#x2a;&#x2a;</td>
<td align="char" char=".">1.99</td>
<td align="char" char=".">1.77</td>
<td align="char" char=".">0.83</td>
<td align="char" char=".">2.41&#x2a;</td>
<td align="char" char=".">2.18&#x2212;</td>
<td align="char" char=".">&#x2212;0.28</td>
<td align="char" char=".">1.65&#x2a;</td>
<td align="char" char=".">1.64&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EWSO%/yr</td>
<td align="char" char=".">0.06&#x2a;&#x2a;</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.06&#x2a;</td>
<td align="char" char=".">0.05&#x2a;</td>
<td align="char" char=".">0.03&#x2a;</td>
<td align="char" char=".">0.03&#x2a;</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">0.06&#x2a;&#x2a;</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.03&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">RLO%/yr</td>
<td align="char" char=".">0.09&#x2a;&#x2a;</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">0.09&#x2a;&#x2a;</td>
<td align="char" char=".">0.07&#x2a;</td>
<td align="char" char=".">0.06&#x2a;</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.09&#x2a;&#x2a;</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.08</td>
<td align="char" char=".">0.06&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="3" align="left">ETNA</td>
<td align="left">WPD (W/m<sup>2</sup>)/yr</td>
<td align="char" char=".">0.60</td>
<td align="char" char=".">0.51</td>
<td align="char" char=".">&#x2212;0.02</td>
<td align="char" char=".">1.14</td>
<td align="char" char=".">1.05&#x2a;</td>
<td align="char" char=".">0.26</td>
<td align="char" char=".">0.26</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">0.19</td>
<td align="char" char=".">&#x2212;0.13</td>
<td align="char" char=".">0.08</td>
<td align="char" char=".">0.32</td>
<td align="char" char=".">0.27</td>
</tr>
<tr>
<td align="left">EWSO%/yr</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">&#x2212;0.02</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.05&#x2a;</td>
<td align="char" char=".">0.08&#x2a;</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.07&#x2a;</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.06&#x2a;</td>
<td align="char" char=".">0.06&#x2a;</td>
<td align="char" char=".">0.04&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">RLO%/yr</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">&#x2212;0.04</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.08&#x2a;</td>
<td align="char" char=".">0.10&#x2a;</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">0.05&#x2212;</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.07</td>
<td align="char" char=".">0.06</td>
<td align="char" char=".">0.04&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="3" align="left">TAO</td>
<td align="left">WPD (W/m<sup>2</sup>)/yr</td>
<td align="char" char=".">0.57</td>
<td align="char" char=".">0.39</td>
<td align="char" char=".">&#x2212;0.10</td>
<td align="char" char=".">0.24</td>
<td align="char" char=".">0.14</td>
<td align="char" char=".">0.22</td>
<td align="char" char=".">0.31</td>
<td align="char" char=".">0.72&#x2a;</td>
<td align="char" char=".">0.72&#x2a;</td>
<td align="char" char=".">0.36</td>
<td align="char" char=".">0.60</td>
<td align="char" char=".">0.37</td>
<td align="char" char=".">0.38&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EWSO%/yr</td>
<td align="char" char=".">0.14&#x2a;</td>
<td align="char" char=".">0.11</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.06</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.08</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">&#x2212;0.03</td>
<td align="char" char=".">0.09</td>
<td align="char" char=".">0.06</td>
<td align="char" char=".">0.06&#x2a;</td>
</tr>
<tr>
<td align="left">RLO%/yr</td>
<td align="char" char=".">0.15&#x2a;</td>
<td align="char" char=".">0.12</td>
<td align="char" char=".">&#x2212;0.01</td>
<td align="char" char=".">0.06</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.07</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">0.11&#x2a;</td>
<td align="char" char=".">0.07</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">0.15</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">0.07&#x2a;</td>
</tr>
<tr>
<td rowspan="3" align="left">ETSA</td>
<td align="left">WPD (W/m<sup>2</sup>)/yr</td>
<td align="char" char=".">2.40&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">1.87&#x2a;</td>
<td align="char" char=".">1.29&#x2a;</td>
<td align="char" char=".">0.54</td>
<td align="char" char=".">0.93</td>
<td align="char" char=".">&#x2212;0.38</td>
<td align="char" char=".">&#x2212;0.37</td>
<td align="char" char=".">3.31&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;0.02</td>
<td align="char" char=".">&#x2212;0.44</td>
<td align="char" char=".">1.14</td>
<td align="char" char=".">1.87&#x2a;</td>
<td align="char" char=".">1.01&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EWSO%/yr</td>
<td align="char" char=".">0.12&#x2a;&#x2a;</td>
<td align="char" char=".">0.15</td>
<td align="char" char=".">0.16&#x2a;&#x2a;</td>
<td align="char" char=".">0.10</td>
<td align="char" char=".">0.17&#x2a;</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.07&#x2a;</td>
<td align="char" char=".">&#x2212;0.02</td>
<td align="char" char=".">0.13&#x2a;&#x2a;</td>
<td align="char" char=".">0.15&#x2a;</td>
<td align="char" char=".">0.08</td>
<td align="char" char=".">0.15&#x2a;&#x2a;</td>
<td align="char" char=".">0.02&#x2a;</td>
</tr>
<tr>
<td align="left">RLO%/yr</td>
<td align="char" char=".">0.07&#x2a;</td>
<td align="char" char=".">0.07</td>
<td align="char" char=".">0.06&#x2a;</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">0.09&#x2a;&#x2a;</td>
<td align="char" char=".">0.00</td>
<td align="char" char=".">&#x2212;0.03</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.06</td>
<td align="char" char=".">0.04&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; represent significant at the 0.05, 0.01, and 0.001 confidence level, while not passing the confidence level without &#x2a;.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In the TIO, the WPD, EWSO, and RLO have significant annual increasing trends of 0.40&#xa0;(W/m<sup>2</sup>)/yr, 0.11%/yr, and 0.08%/yr separately, with WPD passing the 0.01 reliability level and EWSO and RLO passing the 0.001 reliability level. The WPD, EWSO, and RLO tend to increase significantly or to be gentle in each month, which is beneficial for wind energy development. The WPD has significant increasing trends in March, September, and December. The WPD has a significant decreasing trend in August, meaning a decrease in the strength of the southwest monsoon. The trend for the rest of the month is gentle. The EWSO has a significant increasing trend in January, March, May, July, September, October, and December. The increasing trend of RLO is mainly reflected in March, September and October.</p>
<p>In ETSI, the WPD increases significantly year by year of 0.98&#xa0;(W/m<sup>2</sup>)/yr. The EWSO and RLO do not exhibit significant annual variation for the past 36&#xa0;years. The increase of WPD mainly reflects in January, April, and&#x20;May.</p>
<p>In the ETNP, the WPD, EWSO, and RLO exhibit a slight&#x20;decreasing trend, but do not pass the significant reliability&#x20;test.</p>
<p>In the TPO, the WPD, EWSO, and RLO increase year by year significantly of 0.83&#xa0;(W/m<sup>2</sup>)/yr, 0.17%/yr, and 0.19%/yr&#x20;separately, and the trends passed the 0.001 reliability&#x20;test&#x20;1level.&#x20;The WPD tends to be flat in March, May, and November,&#x20;and shows significant increases in the&#x20;rest of the months. The EWSO and RLO trend to be flat in May, and&#x20;show&#x20;significant&#x20;increases in the rest of the months.</p>
<p>In the ETSP, the WPD, EWSO, and RLO have significant annual increasing trends of 1.64&#xa0;(W/m<sup>2</sup>)/yr, 0.03%/yr, and 0.06%/yr separately. The annual trends of WPD and EWSO passed the 0.01 reliability test level, and the annual trend of RLO passed the 0.001 reliability test&#x20;level.</p>
<p>In the ETNA, there is no significant annual trend in WPD. The EWSO and RLO exhibit significant annual increasing trends of 0.04%/yr.</p>
<p>In TAO, the WPD, EWSO, and RLO have significant annual increasing trends of 0.38&#xa0;(W/m<sup>2</sup>)/yr, 0.06%/yr, and 0.07%/yr separately.</p>
<p>In the ETSA, the WPD, EWSO, and RLO have significant annual increasing trends of 1.01&#xa0;(W/m<sup>2</sup>)/yr, 0.02%/yr, and 0.04%/yr separately.</p>
<p>The annual increasing trend of WPD is strongest in the southern westerlies, especially the ETSP, of about 1.64&#xa0;(W/m<sup>2</sup>)/yr. The annual increasing trends of EWSO and RLO are strongest in the tropical waters, especially the TPO, of 0.17%/yr and 0.19%/yr separately.</p>
</sec>
<sec id="s5-6">
<title>Abrupt Change of Wind Power Density, Effective Wind Speed Occurrence, and Rich Level Occurrence in Key Regions</title>
<p>From the previous analysis, the low-latitude waters of the middle Pacific Ocean exhibited significant increasing trends in WPD, EWSO, and RLO. Here the abrupt change of wind energy parameters of this region was calculated using the M-K&#x20;test.</p>
<p>Using the method in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>, the zonal and annual mean values of WPD of the low-latitude waters of the middle Pacific Ocean for 1979&#x2013;2014 were obtained. Then, the M-K test is employed to exhibit the abrupt change of WPD. Similarly, the abrupt change of EWSO and RLO of the low-latitude waters of the middle Pacific Ocean is exhibited, as shown in <xref ref-type="fig" rid="F10">Figure&#x20;10</xref>. About the WPD (<xref ref-type="fig" rid="F10">Figure&#x20;10A</xref>), the UF and UB lines intersect in 1999, 2002, and 2003. Also, the intersecting points are located within the two test lines, meaning that the abrupt change of WPD in this region occurred at the end of the 20th century and the beginning of the 21st century. It is also worth noting that the UF line shows a gentle annual variation for the period 1979&#x2013;1994, while an evident increasing trend for the period 1994&#x2013;2014. It means that the significant increasing trend of WPD of the low-latitude waters of the middle Pacific Ocean is mainly dominated by the period of 1994&#x2013;2014. A similar long-term trend and abrupt change can also be found in the EWSO and RLO in the low-latitude waters of the middle Pacific Ocean.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>M-K test of the WPD <bold>(A)</bold>, EWSO <bold>(B)</bold>, and RLO <bold>(C)</bold> in the low-latitude waters of the middle Pacific Ocean.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g010.tif"/>
</fig>
<p>The method in <xref ref-type="fig" rid="F10">Figure&#x20;10</xref> was used to calculate the abrupt change of WPD, EWSO, and RLO in the TIO, ETSI, ETNP, TPO, ETSP, ETNA, TAO, and ETSA, as shown in <xref ref-type="fig" rid="F11">Figure&#x20;11</xref>.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>M-K test of the WPD (left), EWSO (middle), and RLO (right) in the tropical Indian Ocean <bold>(A&#x2013;C)</bold>, extratropical south Indian <bold>(D&#x2013;F)</bold>, extratropical North Pacific <bold>(G&#x2013;I)</bold>, tropical Pacific Ocean <bold>(J&#x2013;L)</bold>, extratropical South Pacific <bold>(M&#x2013;O)</bold>, extratropical North Atlantic <bold>(P&#x2013;R)</bold>, tropical Atlantic Ocean <bold>(S&#x2013;U)</bold>, and extratropical South Atlantic <bold>(V&#x2013;X)</bold>.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g011.tif"/>
</fig>
<p>In the TIO, the wind energy has an evident abrupt change, with abrupt periods of WPD, EWSO, and RLO occurred in 1988, 1992, and 1993 separately. From the UF line, the WPD exhibited an evident increasing trend for the period 1988&#x2013;2000 and a gentle annual variation for 2000&#x2013;2014, meaning that the annual increasing trend of WPD in the TIO is mainly dominated by the period 1988&#x2013;2000. The annual increasing trends of EWSO and RLO are mainly reflected for the period 1988&#x2013;2014.</p>
<p>In the ETSI, the abrupt change of wind energy is complex and not evident. The WPD, EWSO, and RLO have an evident increasing trend for the period 1984&#x2013;1994.</p>
<p>In the ETNP, the abrupt change of wind energy is complex and not evident. The WPD, EWSO, and RLO have an evident decreasing trend in the beginning of the 21st century.</p>
<p>In the TPO, the abrupt change of wind energy occurred in the early 21st century. The annual increasing trends of WPD, EWSO, and RLO are mainly reflected for the period 1995&#x2013;2014.</p>
<p>In the ETSP, the abrupt change of wind energy is complex and not evident.</p>
<p>In the ETNA, the abrupt change of WPD is not evident. The abrupt change of EWSO and RLO occurred in 2006 and 2008 separately. The WPD slowly increases for 1979&#x2013;1997 and decreases for the period 1997&#x2013;2005. The EWSO and RLO have two evident increasing periods: 1991&#x2013;1997 and 2004&#x2013;2014.</p>
<p>In the TAO and ETSA, the abrupt change of wind energy is not evident.</p>
<p>As a whole, the climatic trends of wind energy parameters have a good agreement with <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s6">
<title>Discussions</title>
<p>
<xref ref-type="bibr" rid="B30">Thomas et&#x20;al. (2008)</xref> found an increasing WS trend of 4&#xa0;(cm/s)/yr from 1982 to 2002 over most of the global oceans. <xref ref-type="bibr" rid="B36">Young et&#x20;al. (2011)</xref> presented an increasing WS globally over the period 1991&#x2013;2008, based on an 18-year database of calibrated and validated satellite altimeter measurements. <xref ref-type="bibr" rid="B7">Capps and Zender (2010)</xref> analyzed the global oceanic WS trend for the period 1988&#x2013;2011, based on the Cross-Calibrated, Multi-Platform (CCMP) wind data. They pointed out that the sea surface WS in most of the global oceans significantly increased for this period with a rate of 1&#x2013;11&#xa0;(cm/s)/yr, and the area with a strong increasing trend is mainly located in the mid-low-latitude waters of the Pacific Ocean. There is a good agreement between this study and the previous studies.</p>
<p>
<xref ref-type="bibr" rid="B7">Capps and Zender (2010)</xref> also stated that the annual mean WS variability was mainly caused by the variability of the occurrences of WS greater than Class 5. In this study, the EWSO exhibits a significant increasing trend. And the spatial distribution of the trend of EWSO has a good agreement with that of WS. Obviously, the result has a good agreement with <xref ref-type="bibr" rid="B40">Zheng et&#x20;al. (2016)</xref>. Previous studies by <xref ref-type="bibr" rid="B36">Young et&#x20;al. (2011)</xref>, <xref ref-type="bibr" rid="B16">Gulev and Grigotieva (2004)</xref>; <xref ref-type="bibr" rid="B15">Gulev and Grigorieva (2006)</xref>, <xref ref-type="bibr" rid="B17">Gulev and Hasse (1999)</xref>, and <xref ref-type="bibr" rid="B5">Bertin et&#x20;al. (2013)</xref> provided evidence that the long-term increase of WS can be superimposed onto the inter-annual variability controlled by an oscillating phenomenon, such as North Atlantic Oscillation (NAO) over the North Atlantic Ocean, and the El Ni&#xf1;o over the Pacific Ocean. <xref ref-type="bibr" rid="B31">Wan (2012)</xref> noted that the oscillating phenomenon, such as the ENSO, could contribute to the inter-annual variations of wind power. <xref ref-type="bibr" rid="B40">Zheng et&#x20;al. (2016)</xref> found a close correlation between the nino3 index and the occurrence of WS greater than Class 5 in the tropical waters, especially the tropical waters of the Pacific Ocean. In their result, there is a positive correlation in the low-latitude waters of the middle North Pacific Ocean, meaning that the increase of sea surface temperature (SST) will result in the increase of occurrence of WS greater than Class 5. <xref ref-type="bibr" rid="B38">Zheng et&#x20;al. (2017)</xref> pointed out that there is a noticeable negative correlation between the WPD of lagging 3&#xa0;months and nino3 index in most of the North Atlantic Ocean. The long-term trend of WPD in the Pacific Ocean may also be attributed to the relationship between the nino3 index and the occurrence of WS greater than Class 5. <xref ref-type="bibr" rid="B27">Reguero et&#x20;al. (2015)</xref> take the lead in analyzing the correlations between the wave energy and key oscillating phenomenon in the global oceans. They found that the influence of the NAO and Atlantic Multidecadal Oscillation (AMO) patterns in the northern and southern hemispheres, respectively.</p>
<sec id="s6-1">
<title>Correlations Between Wind Energy and Key Oscillating Phenomenon</title>
<p>To reveal the mechanism of the climatic variation of wind energy, research on the relationship between WPD and key important oscillating phenomenon in the global oceans was carried out, as shown in <xref ref-type="fig" rid="F12">Figure&#x20;12</xref>.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Correlations between WPD and AAO, WPD and AMO, WPD and AO, WPD and NAO, WPD and nino3, WPD and PNA, and WPD and TNA.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g012.tif"/>
</fig>
<p>AAO: the AAO has a widespread and significant influence on the wind energy of the southern hemisphere westerlies (positive correlations) and middle-east of the mid-latitude waters of the South Indian Ocean (negative correlations). The strong AAO indicates the deepening of low pressure around the Antarctic Pole and the strengthening of westerly winds at mid-high latitude. At the same time, the winds in the mid-low latitude weaken.</p>
<p>AMO: the AMO has a significant impact on the mid-east area of the tropical waters of the South Pacific Ocean (positive correlation), tropical waters of the North Atlantic Ocean (negative correlation), and south water of Greenland (negative correlation).</p>
<p>AO: the AO has a significant impact on the North Atlantic Ocean. In the North Atlantic Ocean, the correlations exhibit a spatial distribution of positive&#x2013;negative&#x2013;positive from the mid-high latitude to the low latitude. The AO is the change of atmospheric pressure between the mid-latitude region and the arctic region in the northern hemisphere. When the arctic oscillation is in the positive phase, the pressure difference of these systems is stronger than normal, which limits the cold air in the polar region to spread southward. In this case, the winds will strengthen in the high latitude and will weaken in the middle latitude.</p>
<p>NAO: the NAO has a significant impact on the mid-high latitude waters (A large sea area surrounds Greenland, positive correlation) and tropical waters of the North Atlantic Ocean (positive correlation). The NAO is the inverse relationship between the Azores high pressure and the Icelandic low pressure. The strong NAO indicates a large pressure difference between the Azores high pressure and the Icelandic low pressure and a strong westerly wind in the middle latitude of the North Atlantic Ocean.</p>
<p>Nino3: the nino3 index has a positive influence on the tropical water of the North Pacific Ocean, tropical water of the North Atlantic Ocean. It has a negative influence on the tropical water of the South Pacific Ocean, tropical water of the South Atlantic Ocean and the northern region of the South China Sea, and a large region around the Taiwan Island.</p>
<p>PNA: the Pacific/North American Pattern (PNA) has a significant impact on a small region of the middle of the mid-latitude of the North Pacific Ocean.</p>
<p>TNA: the Tropical Northern Atlantic Index (TNA) has a negative impact on the tropical waters of the North Atlantic Ocean, and has a positive impact on the east region of tropical waters of the South Pacific Ocean.</p>
</sec>
<sec id="s6-2">
<title>Periods of Wind Power Density, Effective Wind Speed Occurrence, and Rich Level Occurrence in Key Regions</title>
<p>In this section, the wavelet analysis method is employed to analyze the variation period of WPD in the key regions. Using the method in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>, the zonal and annual average values of WPD in the TIO for 1979&#x2013;2014 were obtained. Then, the variation periods were analyzed using wavelet analysis. Similarly, the variation periods of WPD in the ETSI, ETNP, TPO, ETSP, ETNA, TAO, and ETSA were calculated, as shown in <xref ref-type="fig" rid="F13">Figure&#x20;13</xref>. The WPD in the TIO, ETNP, and ETNA has a definite period of 3&#x2013;6&#xa0;years. Also, this phenomenon can also be found in other regions, but not so evident.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Wavelet analysis of the WPD in the tropical Indian Ocean <bold>(A)</bold>, extratropical south Indian <bold>(B)</bold>, extratropical North Pacific <bold>(C)</bold>, tropical Pacific Ocean <bold>(D)</bold>, extratropical South Pacific <bold>(E)</bold>, extratropical North Atlantic <bold>(F)</bold>, tropical Atlantic Ocean <bold>(G)</bold>, and extratropical South Atlantic <bold>(H)</bold>.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g013.tif"/>
</fig>
<p>This study also pays attention to the variation period of WPD, EWSO, and RLO in the Arabian Sea, the Bay of Bengal, and the South China Sea, as shown in <xref ref-type="fig" rid="F14">Figure&#x20;14</xref>. Obviously, the WPD, EWSO, and RLO in the Arabian Sea and the Bay of Bengal, and the WPD in the South China Sea have a significant&#x20;common period of approximately 5&#xa0;years. The EWSO and RLO in the South China Sea also have a period&#x20;of approximately 5&#xa0;years, but not as evident as the&#x20;WPD.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Wavelet analysis of the WPD (left), EWSO (middle), and RLO (right) in the Arabian Sea <bold>(A&#x2013;C)</bold>, the Bay of Bengal <bold>(D&#x2013;F)</bold>, and the South China Sea <bold>(G&#x2013;I)</bold> for the period 1979&#x2013;2014.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g014.tif"/>
</fig>
<p>Just as the previous discussion, the wind energy has a close relationship with some important oscillating phenomena, such as AAO, AO, and AMO. To detect the correlation between the wind energy and important oscillating phenomenon, the variation period of the nino3 index for the period 1979&#x2013;2014 is also calculated, as shown in <xref ref-type="fig" rid="F15">Figure&#x20;15</xref>. Obviously, the nino3 index exhibits a significant period of approximately 5&#xa0;years. Former research studies also pointed out that there exists a close correlation between the sea surface WS and the El Ni&#xf1;o phenomenon in the Pacific Ocean and North Atlantic Ocean (<xref ref-type="bibr" rid="B24">Liu et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B39">Zheng and Pan, 2014</xref>; <xref ref-type="bibr" rid="B18">Guo et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B32">Wang, 2020</xref>). Through this study, a common period of approximately 5&#xa0;years among the wind energy parameters and nino3 index was found, which has a good agreement with the previous research.</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Wavelet analysis of the nino3 index for the period 1979&#x2013;2014.</p>
</caption>
<graphic xlink:href="fenrg-10-867642-g015.tif"/>
</fig>
</sec>
</sec>
<sec id="s7">
<title>Conclusion and Prospect</title>
<p>Based on the ERA-Interim wind product for 1979&#x2013;2014, this study presented the climatic trends of series of key parameters (WPD, EWSO, and RLO) of wind energy resources in the global oceans, including the overall annual trends, the regional difference and seasonal difference of the trend, abrupt changes, and variation of wind energy in the key region. The correlations between the wind energy and key oscillating phenomenon were also calculated. The main conclusions are as follows:</p>
<p>The global oceans are rich in wind energy resources. The multi-year average WPD in most of the global ocean is greater than 200&#xa0;W/m<sup>2</sup>, while only some small regions in the low-latitude waters are below 200&#xa0;W/m<sup>2</sup>. The EWSO is &#x3e;60% in most of the global oceans, meaning an optimistic wind energy available rate globally. There also exist several large areas of EWSO in the mid-low-latitude waters of global oceans (even &#x3e;90% in the large center), meaning an optimistic wind energy utilization rate, although they are not distributed in the large area of WPD. The spatial distribution of the RLO is similar to that of&#x20;EWSO.</p>
<p>For the past 36&#xa0;years, the global ocean exhibits overall increasing trends in WPD [0.698&#xa0;(W/m<sup>2</sup>)/yr], EWSO (0.076%/yr), and RLO (0.090%/yr). The increasing trends of WPD, EWSO, and RLO in the southern hemisphere oceans are much stronger than that in the northern hemisphere oceans.</p>
<p>The annual trend of wind energy exhibits an evident regional difference. The annual increasing trend of WPD is strongest in the southern westerlies, especially the ETSP, of about 1.64 (W/m<sup>2</sup>)/yr. The areas with significant increasing trends in WPD are mainly distributed in the Somali waters of 1&#x2013;3 (W/m<sup>2</sup>)/yr, equator waters of the south Indian Ocean of 0&#x2013;2 (W/m<sup>2</sup>)/yr, the mid-low latitude of the middle and east of the Pacific Ocean of 0&#x2013;4 (W/m<sup>2</sup>)/yr, the low latitude of the South Atlantic Ocean of 0&#x2013;2 (W/m<sup>2</sup>)/yr, and part of the southern hemisphere westerlies of 3&#x2013;6 (W/m<sup>2</sup>)/yr. The area range with a significant decreasing trend is small and mainly located in the south and southeast coasts of Greenland and middle of the North Pacific Ocean westerly. The annual increasing trends of EWSO and RLO are strongest in the tropical waters, especially the TPO, of 0.17%/yr and 0.19%/yr, separately.</p>
<p>About the seasonal difference of the trends, the WPD in most of the global oceans has a significant increasing trend or no significant variation in each season, while only some small regions have a significant increasing trend. Regardless of the season, areas with significant increasing trends are mainly distributed in the mid-low-latitude waters of global oceans and part of the southern hemisphere westerlies. The increasing trend of WPD in different regions is dominated by different seasons. The increasing trend of WPD in the mid-low-latitude waters of global oceans can be reflected in each season. The increasing trend in the southern hemisphere westerlies can be seen in MAM and DJF. The decreasing trend in the low-latitude waters of the North Atlantic Ocean is dominated by JJA and SON. The characteristic seasonal difference of the long-term trends of EWSO and RLO is similar to that of the&#x20;WPD.</p>
<p>The climatic trends of wind energy are dominated by different time periods. The annual increasing trend of WPD in the TIO is mainly dominated by the period 1988&#x2013;2000. The annual increasing trends of EWSO and RLO in the TIO are mainly reflected for 1988&#x2013;2014. The annual increasing trends of WPD, EWSO, and RLO in the TPO are mainly reflected for the period 1995&#x2013;2014.</p>
<p>There is no evident abrupt change of wind energy in the extratropical waters (ETSI, ETNP, ETSP, ETNA, ETSA) and TAO. The abrupt periods of wind energy in the TIO and TPO occurred at the end of the 20th century and in the beginning of the 21st century. The WPD, EWSO, and RLO of the South China Sea, the Arabian Sea, and the Bay of Bengal and nino3 index share a common period of approximately 5&#xa0;years.</p>
<p>There is a close relationship between the wind energy and key oscillating phenomenon in the global oceans. The AAO has a positive influence on the wind energy of the southern&#x20;hemisphere westerlies. The AMO has a positive impact on the mid-east area of the tropical waters of the South Pacific Ocean. The AO has a positive&#x2013;negative&#x2013;positive impact on the wind energy of the North Atlantic Ocean from the mid-high latitude to the low latitude. The NAO has a positive impact on the mid-high latitude waters and tropical waters of the North Atlantic Ocean. The nino3 index has a significant influence on the tropical waters of the Pacific Ocean and tropical waters of the Atlantic Ocean. The TNA has a negative impact on the tropical&#x20;waters of the North Atlantic Ocean and a positive impact on the east region of tropical waters of the South Pacific Ocean.</p>
<p>In this study, the data used in this study are the ERA-Interim reanalysis. In 2019, a newer version of ECMWF reanalysis&#x2014;ERA-5&#x2014;is available. In the future work, it is necessary to employ the ERA5 data to analyze the trend of global oceanic wind energy and compare the wind energy trend using ERA-Interim data and the wind energy trend using ERA5 data. This study exhibits the wind energy trends of 10&#xa0;m above the sea surface. <xref ref-type="bibr" rid="B23">Liu et&#x20;al. (2018)</xref> analyzed the wind resource potential at different heights using a long-term tower measurement. Similarly, it is necessary to analyze the long-term trends of wind energy at different heights above the sea surface. Also, the energy returns on energy and carbon investment of wind energy farms (<xref ref-type="bibr" rid="B34">Xydis, 2015</xref>), factors influencing citizens&#x2019; acceptance and non-acceptance of wind energy, etc. should also be focused in the future work. In addition, countries and regions can carry out related policy and long-term plans according to the climatic variation of wind energy resources.</p>
</sec>
</body>
<back>
<sec id="s8">
<title>Data Availability Statement</title>
<p>Publicly available datasets were analyzed in this study. These data can be found here: ERA-Interim wind data (available at <ext-link ext-link-type="uri" xlink:href="https://apps.ecmwf.int/datasets/data/Interim-full-daily/levtype%20=%20sfc/">https://apps.ecmwf.int/datasets/data/Interim-full-daily/levtype &#x3d; sfc/</ext-link>).</p>
</sec>
<sec id="s9">
<title>Author Contributions</title>
<p>C-WZ, W-KZ, X-LW, CS, WZ, and Z-NX: conceptualization and methodology. C-TY and YW: methodology and data curation. S-DJ and DW: investigation and methodology. XJ and Y-GC: original draft preparation. X-FZ and D-JW: software and validation. D-CY, YW, WL and Y-YT: revise the manuscript.</p>
</sec>
<sec id="s10">
<title>Funding</title>
<p>This work was supported by the open fund project of the Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China (No. kloe201901), and the Open Research Fund of State Key Laboratory of Estuarine and Coastal Research (Grant number SKLEC-KF201707).</p>
</sec>
<sec sec-type="COI-statement" id="s11">
<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="s12">
<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 also like to thank the ECMWF for providing the ERA-Interim wind data (available at <ext-link ext-link-type="uri" xlink:href="https://apps.ecmwf.int/datasets/data/interim-full-daily/levtype=sfc/">https://apps.ecmwf.int/datasets/data/interim-full-daily/levtype&#x3d;sfc/</ext-link>).</p>
</ack>
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