<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">OS</journal-id>
<journal-title-group>
<journal-title>Ocean Science</journal-title>
<abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1812-0792</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/os-7-835-2011</article-id>
<title-group>
<article-title>Extraction of spatial-temporal rules from mesoscale eddies in the South China Sea based on rough set theory</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Du</surname>
<given-names>Y.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fan</surname>
<given-names>X.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>He</surname>
<given-names>Z.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Su</surname>
<given-names>F.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zhou</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mao</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Wang</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Science and  Natural Resources Research, Chinese Academy of Sciences, Beijing, 100101, China</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Key Laboratory of Tropical Marine Environmental Dynamics, South China Sea Institute of Oceanology, Chinese Academy of Sciences, Guangzhou, 510301, China</addr-line>
</aff>
<pub-date pub-type="epub">
<day>07</day>
<month>12</month>
<year>2011</year>
</pub-date>
<volume>7</volume>
<issue>6</issue>
<fpage>835</fpage>
<lpage>849</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2011 Y. Du et al.</copyright-statement>
<copyright-year>2011</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://os.copernicus.org/articles/7/835/2011/os-7-835-2011.html">This article is available from https://os.copernicus.org/articles/7/835/2011/os-7-835-2011.html</self-uri>
<self-uri xlink:href="https://os.copernicus.org/articles/7/835/2011/os-7-835-2011.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/7/835/2011/os-7-835-2011.pdf</self-uri>
<abstract>
<p>In this paper, a rough set theory is introduced to
represent spatial-temporal relationships and extract the corresponding
rules from typical mesoscale-eddy states in the South China Sea (SCS). Three
decision attributes are adopted in this study, which make the approach
flexible in retrieving spatial-temporal rules with different features. The
results demonstrate that this approach is effective, and therefore provides
a powerful approach to forecasts in the future studies. Spatial-temporal
rules in the SCS indicate that warm eddies following the rules are generally
in the southeastern and central SCS around 2000 m isobaths in winter. Their
intensity and vorticity are weaker than those of cold eddies. They usually
move a shorter distance. By contrast, cold eddies are in 2000 m and deeper
regions of the southwestern and northeastern SCS in spring and fall. Their
intensity and vorticity are strong. Usually they move a long distance. In
winter, a few rules are followed by cold eddies in the northern tip of the
basin and southwest of Taiwan Island rather than warm eddies, indicating
cold eddies may be well-regulated in the region. Several warm-eddy rules are
achieved west of Luzon Island, indicating warm eddies may be well-regulated
in the region as well. Otherwise, warm and cold eddies are distributed not
only in the jet flow off southern Vietnam induced by intraseasonal wind
stress in summer-fall, but also in the northern shallow water, which should
be a focus of a future study.</p>
</abstract>
<counts><page-count count="15"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Bai, H., Ge, Y., Wang, J., and Liao, Y.: Using rough set theory to identify villages affected by birth defects: the example of Heshun, Shanxi, China, Int. J. Geogr. Inf. Sci., 24, 559–576, 2010.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Cheng, X., Qi, Y., and Wang, W.: Seasonal and Interannual Variabilities of Mesoscale Eddies in South China Sea, J. Trop. Oceanogr., 24, 51–59, 2005.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Fang, G., Chen, H., Wei, Z., Wang, Y., Wang, X., and Li, C.: Trends and interannual variability of the South China Sea surface winds, surface height, and surface temperature in the recent decade, J. Geophys. Res. 111, C11S16, &lt;a href=&quot;http://dx.doi.org/10.1029/2005JC003276&quot;&gt;https://doi.org/10.1029/2005JC003276&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Fayyad, U. M. and Irani, K. B.: On the handling of continuous-valued attributes in decision tree generation, Mach. Learn., 8, 87–102, 1992.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Fayyad, U. M. and Irani, K. B.: Multi-interval discretization of continuous-valued attributes for classification learning, Proceedings of the 13th International Joint Conference on Artificial Intelligence, IJCAI-93, 1993.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">He, Z., Wang, D., and Hu, J.: Features of eddy kinetic energy and variations of upper circulation in the South China Sea, Acta Oceanol. Sinica, 21, 305–314, 2002 (in Chinese with English abstract).</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Hetland, R. H., Hsueh, Y., Leben, R. R., and Niiler, P. P.: A loop current-induced jet along the edge of the West Florida shelf, Geophys. Res. Lett., 26, 2239–2242, 1999.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Hu, J., Kawamura, H., Hong, H., Kobashi, F., and Wang, D.: 3–6 months variation of sea surface height in the South China Sea and its adjacent ocean, J. Oceanogr., 57, 69–78, 2001.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Hurlburt, H. E. and Thompson, J. D.: A numerical study of loop current intrusions and eddy shedding, J. Phys. Oceanogr., 10, 1611–1651, 1980.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Hwang, C., Wu, C. R., and Kao, R.: TOPEX/Poseidon observations of mesoscale eddies over the Subtropical Counter Current: kinematic characteristics of an anticyclonic eddy and a cyclonic eddy, J. Geophys. Res., 109, C08013, &lt;a href=&quot;http://dx.doi.org/10.1029/2003JC002026&quot;&gt;https://doi.org/10.1029/2003JC002026&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Jia, Y. and Liu, Q.: Eddy shedding from the Kuroshio bend at Luzon Strait, J. Oceanogr., 60, 1063–1069, 2004.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Jia, Y., Liu, Q., and Liu, W.: Primary studies of the mechanism of eddy shedding from the Kuroshio bend in Luzon Strait, J. Oceanogr., 61, 1017–1027, 2005.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Komorowski, J., Pawlak, Z., Polkowski, L., and Skowron, A.: Rough sets: A tutorial, in: Rough fuzzy hybridization: a new trend in decision-making, edited by: Pal, S. and Skowron, A., Singapore, Springer-Verlag, 3–93, 1999.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Kuo, N. J., Zheng, Q., and Ho, C. R.: Satellite observation of upwelling along the western coast of the South China Sea, Remote Sens. Environ., 74, 463–470, 2000.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Leung, Y. and Li, D.: Maximal consistent block technique for rule acquisition in incomplete information systems, Inf. Sci., 153, 85–106, 2003.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Li, L.: A review on mesoscale oceanographical phenomena in the South China Sea, J. Oceanogr. Taiwan, 21, 265–274, 2002 (in Chinese with English abstract).</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Li, L. and Wu, B.: A Kuroshio loop in South China Sea?, J. Oceanogr. Taiwan, 8, 89–95, 1989 (in Chinese with English abstract).</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Li, L., Nowlin Jr., W. D. and Su, J.: Anticyclonic rings from the Kuroshio in the South China Sea, Deep-Sea Res. Pt.&amp;nbsp;I 45, 1469–1482, 1998.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Lin, P., Wang, F., Chen, Y., and Tang, X.: Temporal and spatial variation characteristics on eddies in the South China Sea I. Statistical analyses, Acta Oceanol. Sinica, 29, 14–22, 2007.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Liu, Q., Jiang, X., Xie, S., and Liu, W.: A gap in the Indo-Pacific warm pool over the South China Sea in boreal winter: Seasonal development and interannual variability, J. Geophys. Res., 109, C07012, &lt;a href=&quot;http://dx.doi.org/10.1029/2003JC002179&quot;&gt;https://doi.org/10.1029/2003JC002179&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Metzger, E. J. and Hurlburt, H. E.: The nondeterministic nature of Kuroshio penetration and eddy shedding in the South China Sea, J. Phys. Oceanogr., 31, 1712–1732, 2001.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Miao, D. and Li, D.: Rough Sets Theory Algorithms and Applications, TsingHua University Press, Beijing, 2008.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Nguyen, H. S. and Skowron, A.: Quantization of real-valued attributes, in: Proceeding 2nd International Joint Conference on Information Sciences, Wrightsville Beach, NC, 34–37, 1995.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Pawlak, Z.: Rough sets, Int. J. Parallel. Prog., 11, 341–356, 1982.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data, Kluwer Academic Publishers, Boston, 1991.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Pawlak, Z.: Bayes&apos; theorem revised- the rough set view, in: Proceedings of International Workshop on Rough Set Theory and Granular Computing (RSTGC 2001), Matshue, Shimane, Japan, 1–8, 2001.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Polkowski, L. and Skowron, A.: Rough Sets in Knowledge Discovery 1: Methodology and Applications, 2: Applications, Physica-Verlag, Heidelberg, 1998.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Polkowski, L., Tsumoto, S., and Lin, T.: Rough Set Methods and Applications, Physica-Verlag, Heidelberg, 49–88, 2000.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Qhrn, A.: Discernibility and rough sets in medicine: tools and application, Norwegian University of Science and Technology, Norway, 41–51, 1999.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Qu, T.: Upper-layer circulation in the South China Sea, J. Phys. Oceanogr., 30, 1450–1460, 2000.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Randell, D. A. and Cohn, A. G.: Modelling topological and metrical properties in physical processes, in: Proceedings of the 1st International Conference on the Principles of Knowledge Representation and Reasoning, Morgan Kaufmann Publishers, San Francisco, 55–66, 1989.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Randell, D. A., Cui, Z., and Cohn, A. G.: A spatial logic based on regions and connection, in: Proceedings of the 3rd International Conference on Principles of Knowledge Representation and Reasoning, Morgan Kaufmann Publishers, San Francisco, 165–176, 1992.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Roemmich, D. and Gilson, J.: Eddy transport of heat and thermocline waters in the North Pacific: a key to interannual/decadal climate variability, J. Phys. Oceanogr., 31, 675–687, 2001.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Skowron, A.: Synthesis of adaptive decision systems from experimental data, in: Proceedings of the Fifth Scandinavian Conference on Artificial Intelligence, number 28 in Frontiers in Artificial Intelligence and Applications, edited by: Aamodt, A. and Komorowski, J., IOS Press, 220–238, 1995.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Skowron, A.: Rough sets and Boolean reasoning, in: Granular Computing: An Emerging Paradigm, edited by: Pedrycz, W., Physica-Verlag, Heidelberg, 95–124, 2001.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Su, J.: Overview of the South China Sea circulation and its influence on the coastal physical oceanography outside the Pearl River Estuary, Cont. Shelf Res., 24, 1745–1760, 2004.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Su, J., Lu, J., Hou, Y., Fang, G., Wei, Z., and Yin, B.: Analysis of satellite-tracked drifting buoys in the South China Sea, Oceanol. Limnol. Sinica, 33, 121–127, 2002 (in Chinese with English abstract).</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Wang, D., Xu, H., Lin, J., and Hu, J.: Anticyclonic eddies in the northeastern South China Sea during winter 2003/2004, J. Oceanogr., 64, 925–935, 2008.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Wang, G.: Discussion on the Movement of Mesoscale Eddies in the South China Sea, Ph.D. Dissertation, Ocean University of China, Qingdao, 2004.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Wang, G., Su, J., and Chu, P.: Mesoscale eddies in the South China Sea observed with altimeter data, Geophys. Res. Lett., 30, 2121, &lt;a href=&quot;http://dx.doi.org/10.1029/2003GL018532&quot;&gt;https://doi.org/10.1029/2003GL018532&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Wang, G., Chen, D., and Su, J.: Generation and life cycle of the dipole in the South China Sea summer circulation, J. Geophys. Res., 111, C06002, &lt;a href=&quot;http://dx.doi.org/10.1029/2005JC003314&quot;&gt;https://doi.org/10.1029/2005JC003314&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Wang, G., Chen, D., and Su, J.: Winter eddy genesis in the Eastern South China Sea due to orographic wind jets, J. Phys. Oceanogr., 38, 726–732, &lt;a href=&quot;http://dx.doi.org/10.1175/2007JPO3868.1&quot;&gt;https://doi.org/10.1175/2007JPO3868.1&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Wang, G. Y.: Rough Set Theory and Knowledge Acquisition, Xi&apos;an: Xi&apos;an Jiaotong University Press,  2001 (in Chinese).</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Wang, L., Koblinsky, C. J., and Howden, S.: Mesoscale variability in the South China Sea from the TOPEX/Poseidon altimetry data, Deep-Sea Res Pt.&amp;nbsp;I, 47, 681–708, 2000.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">White, W. B.: Tropic coupled Rossby waves in the Pacific ocean-atmosphere system, J. Phys. Oceanogr., 30, 1245–1264, 2000.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Wu, C. and Chang, C. W. J.: Interannual variability of the South China Sea in a data assimilation model, Geophys. Res. Lett., 32, L17611, &lt;a href=&quot;http://dx.doi.org/10.1029/2005GL023798&quot;&gt;https://doi.org/10.1029/2005GL023798&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Wu, C. and Chiang, T.: Mesoscale eddies in the northern South China Sea, Deep-Sea Res. Pt.&amp;nbsp;II, 54, 1575–1588, 2007.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Wu, C., Tang, T., and Lin, S.: Intra-seasonal variation in the velocity field of the northeastern South China Sea, Cont. Shelf Res., 25, 2075–2083, 2005.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Wyrtki, K.: Physical oceanography of the southeast Asian waters, NAGA report, Vol. 2, Scientific results of marine investigation of the South China sea and the Gulf of Thailand, Scripps Institution of Oceanography, La Jolla, Calif., 195 pp., 1961.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Xie, S., Xie, Q., Wang, D., and Liu, W.: Summer upwelling in the South China Sea and its role in regional climate variations, J. Geophys. Res., 108, 3261, &lt;a href=&quot;http://dx.doi.org/10.1029/2003JC001867&quot;&gt;https://doi.org/10.1029/2003JC001867&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Xiu, P., Chai, F., Shi, L., Xue, H., and Chao, Y.: A census of eddy activities in the South China Sea during 1993–2007, J. Geophys. Res., 115, C03012, &lt;a href=&quot;http://dx.doi.org/10.1029/2009JC005657&quot;&gt;https://doi.org/10.1029/2009JC005657&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Xu, X., Qiu, Z., and Chen, H.: The general descriptions of the horizontal circulation in the South China Sea, in: Proceedings of the 1980 Symposium on Hydrometeorology, Chinese Society of Oceanology and Limnology, Science Press, Beijing, 137–145, 1982.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Yang, K., Shi, P., Wang, D., and Qi, Y.: Numerical study about the mesoscale multi-eddy system in the northern South China Sea in winter, Acta Oceanol. Sinica, 22, 27–34, 2000 (in Chinese with English abstract).</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">Yasdi, R.: Combining rough sets learning and neural learning: method to deal with uncertain and imprecise information, Neuralcomputing, 7, 61–84, 1996.</mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple">Yuan, D., Han, W., and Hu, D.: Surface Kuroshio path in the Luzon Strait area derived from satellite remote sensing data, J. Geophys. Res., 111, C11007, &lt;a href=&quot;http://dx.doi.org/10.1029/2005JC003412&quot;&gt;https://doi.org/10.1029/2005JC003412&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple">Yuan, D., Han, W., and Hu, D.: Anti-cyclonic eddies northwest of Luzon in summer-fall observed by satellite altimeters, Geophys. Res. Lett., 34, L13610, &lt;a href=&quot;http://dx.doi.org/10.1029/2007GL029401&quot;&gt;https://doi.org/10.1029/2007GL029401&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple">Yuan, S. Y. and Wang, Z. Z.: Topography forced Rossby waves in the section from Xisha to Dongsha Islands, Trop. Oceanol., 5, 1–6, 1986 (in Chinese with English abstract).</mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple">Zhuang, W., Xie, S., Wang, D., Taguchi, B., Aiki, H., and Sasaki, H.: Intraseasonal variability in sea surface height over the South China Sea, J. Geophys. Res., 115, C04010, &lt;a href=&quot;http://dx.doi.org/10.1029/2009JC005647&quot;&gt;https://doi.org/10.1029/2009JC005647&lt;/a&gt;, 2010.</mixed-citation>
</ref>
</ref-list>
</back>
</article>