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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2022.1061769</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Characteristics and evaluation of coastal erosion vulnerability of typical coast on Hainan Island</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Fu</surname>
<given-names>GuoWei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1993657"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Cao</surname>
<given-names>Chao</given-names>
</name>
<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="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1506641"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Fu</surname>
<given-names>KaiZhe</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Song</surname>
<given-names>YanWei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yuan</surname>
<given-names>Kun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wan</surname>
<given-names>XiaoMing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>ZiAng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>ZhaoFan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>ZanHui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Haikou Research Center of Marine Geology, China Geological Survey</institution>, <addr-line>Haikou</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Third Institute of Oceanography, Ministry of Natural Resources</institution>, <addr-line>Xiamen</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Fujian Provincial Key Laboratory of Marine Ecological Conservation and Restoration</institution>, <addr-line>Xiamen</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Key Laboratory of Marine Ecological Conservation and Restoration, Ministry of Natural Resources</institution>, <addr-line>Xiamen</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Yi Pan, Hohai University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Ping Wang, University of South Florida, United States; Zhiqiang Li, Guangdong Ocean University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Chao Cao, <email xlink:href="mailto:caochao@tio.org.cn">caochao@tio.org.cn</email>; KaiZhe Fu, <email xlink:href="mailto:fukaizhe@mail.cgs.gov.cn">fukaizhe@mail.cgs.gov.cn</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Coastal Ocean Processes, a section of the journal Frontiers in Marine Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>12</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>1061769</elocation-id>
<history>
<date date-type="received">
<day>05</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>11</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Fu, Cao, Fu, Song, Yuan, Wan, Zhu, Wang and Huang</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Fu, Cao, Fu, Song, Yuan, Wan, Zhu, Wang and Huang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Coastal erosion vulnerability assessment is widely used to assess the loss degree of coastal zone caused by erosion, and plays an important role in coastal natural resources protection, planning, management and decision-making. Based on the natural and social characteristics of the east coast of Qiongdong and the coastal erosion vulnerability index (CVI) method, this study selected 8 assessment indicators, such as shoreline change rate (U1). The Delphi method and the entropy weight method were used to calculate the comprehensive index weight, combined with CVI method and geographic information system (GIS) technology, to quantitatively evaluate the temporal and spatial distribution characteristics of typical coastal erosion vulnerability such as coral reefs in the east of Hainan Island. The study area was divided into 5 grades: very low (31%), low (10%), moderate (28%), high (24%) and high vulnerability (7%), and the overall performance was moderate erosion vulnerability. The research showed that the interannual downward rate erosion of beach (U3) and the rate of change of the isobath (U2) of the beach were the main controlling factors affecting the vulnerability of coastal erosion in the study area, and the coastal dynamic factor had a greater impact than the other two factors. As a natural barrier, the coral reefs in the study area had good wave absorption and energy reduction, and the coral reef coasts showed low coastal erosion vulnerability, due to the complex hydrodynamic characteristics, estuary coasts is the most vulnerable areas. The verification results of the ROC-AUC method showed that the accuracy of erosion vulnerability was 68.9%, which provided an important reference for the ecological restoration of tropical coral reef biological coasts and the development and management of the Hainan Qiongdong coastal zone.</p>
</abstract>
<kwd-group>
<kwd>Hainan Island</kwd>
<kwd>coral reef coast</kwd>
<kwd>human activities</kwd>
<kwd>index method</kwd>
<kwd>coastal erosion vulnerability</kwd>
</kwd-group>
<counts>
<fig-count count="11"/>
<table-count count="3"/>
<equation-count count="9"/>
<ref-count count="68"/>
<page-count count="19"/>
<word-count count="8145"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The coastal zone is the interaction zone between the ocean and land, and it is also the zone where human activities are concentrated (<xref ref-type="bibr" rid="B8">Barragan and Andreis, 2015</xref>). In recent years, with global warming, rapid sea level rise, frequent extreme climate events and intensified human production activities, the coastal zone has been experiencing increasingly serious coastal erosion risks, posing a very large threat to coastal zone engineering, natural ecological coastlines and ecosystems. (<xref ref-type="bibr" rid="B36">Jones and Phillips, 2011</xref>; <xref ref-type="bibr" rid="B57">Shi and Kasperson, 2015</xref>). Coastal erosion is a process of loss caused by the imbalance of sediments in a certain bank section. The main manifestations include shoreline retreat, downward erosion of beaches, high beach stability and low beach erosion, sediment coarsening, etc. (<xref ref-type="bibr" rid="B40">Mangor et&#xa0;al., 2017</xref>). Many scholars have studied coastal erosion processes and mechanisms (<xref ref-type="bibr" rid="B12">Bruun, 1962</xref>; <xref ref-type="bibr" rid="B21">Chen et&#xa0;al., 1988</xref>; <xref ref-type="bibr" rid="B22">Chen et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B59">Thampanya et&#xa0;al., 2006</xref>), erosion methods (<xref ref-type="bibr" rid="B17">Cai et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B15">Cai et&#xa0;al., 2022</xref>) and model research (<xref ref-type="bibr" rid="B43">Mohamed et&#xa0;al., 2021</xref>), erosion hazard evaluation (<xref ref-type="bibr" rid="B38">Liu, 2015</xref>), erosion protection management (<xref ref-type="bibr" rid="B47">Pan et&#xa0;al., 2022</xref>), and the quantitative relationship between economics and erosion has been systematically studied (<xref ref-type="bibr" rid="B5">Annelies et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B29">Hagedoorn et&#xa0;al., 2021</xref>).</p>
<p>With the in-depth study of coastal erosion, coastal erosion vulnerability assessment is widely used to assess the degree of loss caused by coastal erosion, and it plays an important role in coastal natural resource protection, planning and management decision-making (<xref ref-type="bibr" rid="B37">Kumar and Kunte, 2012</xref>; <xref ref-type="bibr" rid="B4">Andrade et&#xa0;al., 2019</xref>). There are certain differences in the scope, indicators and methods selected by different scholars in the assessment of coastal erosion vulnerability due to differences in coastal regional characteristics. Among them, the evaluation methods include the index method, numerical model method, fuzzy decision method, etc. (<xref ref-type="bibr" rid="B23">Chu et&#xa0;al., 2005</xref>). The earliest and most widely used is the coastal vulnerability index (CVI) method proposed by Gronitz (<xref ref-type="bibr" rid="B28">Gornitz, 1991</xref>), which comprehensively considers the risk levels of multiple factors, The evaluation index system is established from the aspects of vulnerability characteristics and causes, and the vulnerability index is formed by using mathematical methods to represent the vulnerability degree of the evaluation unit, compared with other methods, This method is simple and easy to operate, and it considers the superposition effect of different index factors, so it is highly scientific. Many scholars use CVI to conduct evaluation research at different levels and scales (<xref ref-type="bibr" rid="B60">Thieler and Hammar-Klose, 2000</xref>; <xref ref-type="bibr" rid="B11">Boruff et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B26">Dominguez et&#xa0;al., 2005</xref>).</p>
<p>In recent years, scholars have used various additional means to carry out coastal erosion vulnerability assessments, and thus, there has been rapid development and application of coastal erosion vulnerability assessments. <xref ref-type="bibr" rid="B63">Wang et&#xa0;al. (2021)</xref> used the percentile ranking method to comprehensively evaluate the physical and social vulnerability of the urban scale in the Yangtze River Delta region, and used bathymetric changes and independent evaluation to verify the reliability of the evaluation results. This method of verifying the results of the assessment is more credible and scientific, and is also the most commonly used method for vulnerability assessments at this stage. <xref ref-type="bibr" rid="B67">Yoo et&#xa0;al. (2014)</xref> proposed the environmental vulnerability index (EVI) to evaluate the coastal vulnerability of Jakarta, Indonesia, based on historical disasters and socioeconomic statistics, which were more affected by the vulnerability caused by land-based factors than was the CVI. In addition, some scholars have combined vulnerability, exposure, adaptability and hazard to assess coastal erosion risk (<xref ref-type="bibr" rid="B42">Merlotto et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B46">Narra et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B52">Roy et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B58">Swami and Parthasarathy, 2021</xref>). Based on vulnerability research, Swami and Parthasarathy proposed that system vulnerability includes three main factors: exposure, sensitivity and adaptability, which can comprehensively explain and evaluate the inherent characteristics of various coasts. <xref ref-type="bibr" rid="B52">Roy et&#xa0;al. (2021)</xref> and others selected 19 indicators, such as physical, environmental and socioeconomic geography, in the Mekhna River estuary area in Bangladesh and used the analytic hierarchy process (AHP) to evaluate the hazard, vulnerability and exposure indices. The area under the curve (AUC) has been used to verify the reliability of evaluating the degree of erosion risk. This research covers 19 index factors and considers almost all the influencing factors that can be involved, making it a more comprehensive assessment of the vulnerability of the Meghna Estuary. Cao Chao (<xref ref-type="bibr" rid="B18">Cao et&#xa0;al., 2022a</xref>; <xref ref-type="bibr" rid="B19">Cao et&#xa0;al., 2022b</xref>) used different methods to assess the vulnerability of coastal erosion from two scales, the national scale and the small scale of the Pearl River Estuary Greater Bay Area. Furthermore, the innovative introduction of cloud model theory at the national scale to construct a coastal erosion vulnerability assessment system for a comprehensive assessment of vulnerability showed that the cloud model theoretical index system and method were suitable for the assessment of coastal erosion vulnerability in mainland China. Second, on the small scale, a PRE - PRE coastal erosion vulnerability assessment system was established by comprehensively using the AHP, ideal solution similarity ranking technology (TOPSIS), independent weight method, Jenks natural discontinuity method (Jenks), exposure-sensitivity-adaptation (ESA) model and obstacle degree methods. Different evaluation methods were used at two different scales, and good research results were obtained, which made improved the development of research on coastal erosion vulnerability.</p>
<p>At present, scholars have made more assessments of coastal erosion vulnerability, and the vulnerability index factors have mainly selected generalized influencing factors. There is little research on regional typical shore sections, and the individualized and refined considerations of influencing factors are also relatively limited. The differences in the erosion vulnerability of different types of shore sections have not been studied and analyzed. For example, the typical tropical coral reef-type coast, cape bay coast, et&#xa0;al. has not been evaluated for coastal erosion vulnerability, and the difference between different types of coastal erosion vulnerability has not been studied. Based on the tropical coral reef coast, cape bay coast and estuary coast et&#xa0;al. of Hainan Qiongdong, this paper selected the typical coast of Qionghai-Wanning in Hainan Qiongdong. Eight small-scale and typical influencing factors, such as shoreline change rate and shoreline erosion rate, were comprehensively selected from the aspects of coastal morphological characteristics, coastal dynamic characteristics, and socioeconomic and human activities, such as coastline change rate and interannual downward rate erosion. The weight of each evaluation index was determined by the AHP method, Delphi method (DM) and entropy method (TEM). The CVI of the study area was calculated, and the coastal erosion was divided by the vulnerability rating, and a comprehensive assessment of the vulnerability of typical coastal erosion was conducted.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Study area</title>
<p>The Qionghai-Wanning coast is located on eastern Hainan Island, China <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>, and is one of the most important coastal development zones for tropical coral reef organisms in China (110&#xb0;00&#x2032;~110&#xb0;40&#x2032;E, 18&#xb0;35&#x2032;~19&#xb0;29&#x2032;N) (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>). Its coral reefs are mainly distributed in the nearshore sea area north of Qionghai Tanmen Port, and the type of reefs is fringing reef parallel to the coast. The length of the fringing reef is about 15km from south to north, and the width of the reef flat is about 2km, water depth is about 2m (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1C</bold>
</xref>). Quaternary and Cambrian strata are mainly exposed in the coastal zone of the study area (<xref ref-type="bibr" rid="B61">Tian et&#xa0;al., 2016</xref>). The climate type is a tropical marine monsoon climate, the tide is an irregular diurnal tide, the wind direction is mainly southerly wind in summer and northeasterly wind in winter, and the waves are mainly mixed waves, among which the mixed waves dominated by swell have the highest frequency, followed by the wind waves, and the pure swell has the lowest frequency. Marine disasters are mainly storm surges caused by tropical cyclones. From 1964 to 2018, a total of 34 typhoons made landfall in the study area, accounting for 35.4% of the total, making the area have the most landed typhoons in Hainan (<xref ref-type="bibr" rid="B7">Tropical et&#xa0;al., 2021</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>
<bold>(A)</bold> Study area located on the Qionghai-Wanning coast of eastern Hainan <bold>(B)</bold> Images based on satellite images from China, The assessed coastline is the outer coastline of Qionghai-Wanning. <bold>(C)</bold> High-resolution remote sensing images of coral fringing reef with a resolution of 0.68 m.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g001.tif"/>
</fig>
<p>In the 1970s and 1980s, the coastal erosion of Hainan Island already affected approximately 53% of the coastline (<xref ref-type="bibr" rid="B65">Xia et&#xa0;al., 1993</xref>), and in the 1990s, the eroded coast of Hainan increased to 71.9%, and there were 64 eroded coasts on the whole island, and erosion was strong. There were 7 shore sections, of which 3 were located in the strongly eroded section of the study area, accounting for approximately 42.8%. Coastal erosion has become the most important disaster problem on the coast of Hainan Island, and the study area is the hardest hit area of coastal erosion (<xref ref-type="bibr" rid="B20">Chen et&#xa0;al., 2010b</xref>). Research analysis has shown that intensified human activities, such as the construction of reservoirs in the upper reaches of the river, the dredging of riverbeds and coasts, the mining of coral reefs and beach rocks, and various coastal projects, combined with frequent typhoons and other severe marine weather scouring the coast, are the main reasons causing the increasing coastal erosion on Hainan Island (<xref ref-type="bibr" rid="B35">Ji et&#xa0;al., 2007</xref>). According to the survey and statistics, the coverage rate of live coral in the study area declined from 32.2% in 2004 to 6.67% in 2018 (<xref ref-type="bibr" rid="B33">Huang et&#xa0;al., 2019</xref>), resulting in a great change in the structure of the biological community. Thus, the coast of Qiongdong, Hainan, is suffering from severe coastal erosion.</p>
</sec>
<sec id="s3" sec-type="materials|methods">
<label>3</label>
<title>Materials and methods</title>
<sec id="s3_1">
<label>3.1</label>
<title>Establishment of the evaluation index system</title>
<p>The construction of the evaluation index system comprehensively considers the principles of special regionality, coastal erosion correlation and data extractability and is mainly selected from coastal morphology, coastal dynamics, and socioeconomic and human activity factors. Coastal morphology is the direct bearer of the impact of erosion and is an internal characteristic of the coast, while the dynamic changes in the ocean are the direct external manifestation of the impact of erosion, which is an external featureMattei (<xref ref-type="bibr" rid="B41">Mattei et&#xa0;al., 2018</xref>), and socioeconomic and human activities are the driving factors for the occurrence of erosion.</p>
<p>The coastal dynamic characteristics of the coast are reflected from the beach in the supratidal zone, the shoreline in the intertidal zone, and the nearshore waters in the subtidal zone. Intuitive factors, such as the change rate of the shoreline (U1) and the interannual downward rate erosion of the beach (U3), are the most intuitive factors that can be used to characterize the dynamic evolution of the coast. Additionally, the construction of breakwaters, ports and erosion protection walls have prevented the further erosion and retreat of the shoreline to a certain extent, and coastal erosion has shifted into the downward erosion of the underwater bank slope, causing the erosion of the isobath line to approach the shore. Therefore, the rate of change of the isobath (U2) can be used to characterize the erosion of the underwater bank slope. Coastal morphological characteristics are the characteristics of the current state of the coast. Different coastal morphological characteristics bear different degrees of coastal erosion. Coast type (U4), beach width (U5), and beach slope (U6) are the basic components of coastal morphology. Socioeconomic and human activities have a greater impact on the change in coastal appearance, which in turn affects the degree of coastal erosion. Coastal socioeconomics is directly reflected by the degree of coastal development (U7), and the density of human activities (U8), which can indirectly indicate human activities. The evaluation system was constructed by obtaining the index values of each factor from each evaluation unit c1-c29 (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>) (<xref ref-type="bibr" rid="B16">Cai et&#xa0;al., 2019</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Evaluation factor index element distribution map. <bold>(A)</bold> Qionghai-Wanning vulnerability assessment unit division map. <bold>(B)</bold> Distribution map of coastlines in 7 periods from 1985 to 2015 and isobath distribution map from 2005-2019. <bold>(C)</bold> Qionghai-Wanning 2021 coastline type.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g002.tif"/>
</fig>
<p>(1) U1</p>
<p>Multispectral remote sensing images are widely used in coastal resource surveys and dynamic evolution studies, and for coastline extraction, they have the advantages of large-scale and rich spectral features (<xref ref-type="bibr" rid="B10">Boak and Turner, 2005</xref>). To reduce the interpretation errors caused by remote sensing images of different resolutions and different time periods, this paper adopted Google Earth satellite images with the same resolution and the same season and selected the years 1985, 1990, 1995, 2000, 2005, 2010 and 2015, for a total of 7 time periods of remote sensing image data (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>), with a resolution of 16.8 m. Visual interpretation was used to extract the coastlines of each year based on the waterline (<xref ref-type="bibr" rid="B3">Alberico et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B66">Yang, 2013</xref>). The shoreline change rate adopted the LRR method provided by the digital coastline analysis system DSAS4.3 (<uri xlink:href="http://woodshole.er.usgs.gov/project-pages/dsas/">http://woodshole.er.usgs.gov/project-pages/dsas/</uri>) (<xref ref-type="bibr" rid="B24">Deepika et&#xa0;al., 2013</xref>), starting from the northernmost part of the Qionghai administrative boundary. At the starting point (110&#xb0;40&#x2019;15&#x201d; E, 19&#xb0;21&#x2019;32&#x201d; N), a section was generated every 50 m, and a total of 2,910 cross-sections were used to analyze the changes in the Qionghai-Wanning coastline. The calculated value was negative, indicating that the coast was eroded, while a positive value would indicate that the coast was silted up (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Assessment indicator vulnerability grading scale.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Indicators</th>
<th valign="top" colspan="5" align="center">Vulnerability level</th>
<th valign="top" align="center">Data sources</th>
</tr>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center">Very high</th>
<th valign="top" align="center">High</th>
<th valign="top" align="center">Moderate</th>
<th valign="top" align="center">Low</th>
<th valign="top" align="center">Very low</th>
<th valign="top" align="center"/>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">(1) Change rate of the shoreline U1(m/a)</td>
<td valign="top" align="left">-4.22&#x2dc;-1.27</td>
<td valign="top" align="left">-1.27&#x2dc;1.68</td>
<td valign="top" align="left">1.68&#x2dc;4.63</td>
<td valign="top" align="left">4.63&#x2dc;7.58</td>
<td valign="top" align="left">7.58&#x2dc;10.52</td>
<td valign="top" align="left">1985-2015Google Earth remote sensing images</td>
</tr>
<tr>
<td valign="top" align="left">(2) Rate of change of isobath U2 (m/a)</td>
<td valign="top" align="left">-31.21&#x2dc;-23.45</td>
<td valign="top" align="left">-23.45&#x2dc;-15.69</td>
<td valign="top" align="left">-15.69&#x2dc;-7.93</td>
<td valign="top" align="left">-7.93&#x2dc;-0.17</td>
<td valign="top" align="left">-0.17&#x2dc;7.59</td>
<td valign="top" align="left">2015 chart, 2019 topographic map</td>
</tr>
<tr>
<td valign="top" align="left">(3) Interannual downward rate erosion of the beach U3(cm/a)</td>
<td valign="top" align="left">-12.80&#x2dc;-7.00</td>
<td valign="top" align="left">-7.00&#x2dc;-1.20</td>
<td valign="top" align="left">-1.20&#x2dc;4.60</td>
<td valign="top" align="left">4.60&#x2dc;10.40</td>
<td valign="top" align="left">10.40&#x2dc;16.20</td>
<td valign="top" align="left">Field survey monitoring 2020-2021</td>
</tr>
<tr>
<td valign="top" align="left">(4) Coast type U4</td>
<td valign="top" align="left">Artificial island coast,<break/>Headland bay coast</td>
<td valign="top" align="left">Estuary coast</td>
<td valign="top" align="left">Sandy coast</td>
<td valign="top" align="left">Muddy coast&#x3001;Biological coast</td>
<td valign="top" align="left">Bedrock coast,<break/>Artificial coast, Coral coast</td>
<td valign="top" align="left">Field survey 2021</td>
</tr>
<tr>
<td valign="top" align="left">(5) Beach width U5(m)</td>
<td valign="top" align="left">5.00&#x2dc;16.00</td>
<td valign="top" align="left">16.00&#x2dc;27.00</td>
<td valign="top" align="left">27.00&#x2dc;38.00</td>
<td valign="top" align="left">38.00&#x2dc;49.00</td>
<td valign="top" align="left">49.00&#x2dc;60.00</td>
<td valign="top" align="left">Field survey 2021</td>
</tr>
<tr>
<td valign="top" align="left">(6) Beach slope U6(&#xb0;)</td>
<td valign="top" align="left">17.80&#x2dc;14.44</td>
<td valign="top" align="left">14.44&#x2dc;11.08</td>
<td valign="top" align="left">11.08&#x2dc;7.72</td>
<td valign="top" align="left">7.72&#x2dc;4.36</td>
<td valign="top" align="left">4.36&#x2dc;1.00</td>
<td valign="top" align="left">Field survey 2021</td>
</tr>
<tr>
<td valign="top" align="left">(7) Degree of coastal development U7</td>
<td valign="top" align="left">Artificial island construction,<break/>Enclosing sea and cultivating,<break/>Mining Sand of beach</td>
<td valign="top" align="left">Engineering<break/>Construction, Tourism development, port</td>
<td valign="top" align="left">Nearshore marine aquaculture</td>
<td valign="top" align="left">Fishing&#x3001;<break/>Agricultural Production</td>
<td valign="top" align="left">Undeveloped natural coast</td>
<td valign="top" align="left">Field survey<break/>2021</td>
</tr>
<tr>
<td valign="top" align="left">(8) Population density U8</td>
<td valign="top" align="left">More densely</td>
<td valign="top" align="left">Densely</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="left">Sparsely</td>
<td valign="top" align="left">More sparsely</td>
<td valign="top" align="left">Baidu population heat map2021</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>U4&#x3001;U7 and U8 are dimensionless, The vulnerability is assigned 5 - 1 from high to low.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>(2) U2</p>
<p>We compared and analyzed the erosion and deposition of the shallow seabed by collecting multiple periods of charts or isobath data in topographic maps. This paper used the 2005 nautical chart and the 2019 1:50,000 topographic map isobath 2 data (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>), additionally, the LRR method in the DSAS plug-in was used to calculate the 20-m isobath changes from 2005-2019 (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<p>(3) U3</p>
<p>The direct manifestation of coastal erosion is that in addition to shoreline retreat, downward rate erosion of beaches is an important manifestation and a critical factor in vulnerability assessment. However, at present, many scholars have not considered and analyzed the vertical erosion and siltation changes of the beach due to the large assessment scope and the lack of long-term continuous monitoring, which makes the vulnerability assessment results unrepresentative. In this paper, the monitoring data of 44 beaches in the Qionghai-Wanning coastal zone were used to calculate the interannual erosion and silting rate of each beach through interannual monitoring. If there was no beach, such as bedrock and artificial shoreline, the erosion rate of the beach was 0. This is the first assessment to incorporate the interannual downward rate erosion of beaches into the vulnerability assessment system, making the assessment results more scientific and representative (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<p>(4) U4</p>
<p>The coast itself is the direct bearer of coastal erosion, the study area has typical coral reef coast, cape bay coast, estuary coast, artificial island coast, etc. and different coast types have different degrees of erosion vulnerability. Such as coral reef coast, A large amount of coral reef debris is washed and deposited on the bank by the tide to form a coral reef beach (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>), which can dissipate wave energy and protect the beach from erosion. At the same time, the length, width, coarse rate and water depth of the fringing reef also have a great effect on wave energy dissipation, therefore, the coral reef coast has a low degree of vulnerability. In addition, the corresponding erosion vulnerability of coastal types, such as estuaries, artificial islands, and ports, presents different states (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3B, C</bold>
</xref>). The coast type data come from the field survey measurement data of the study area in 2021 (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2C</bold>
</xref>). Since the coastline type is dimensionless, the weights of erosion and siltation effects are assigned according to different coastline types (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>
<bold>(A)</bold> In coral reef shores, coral detritus is washed ashore and deposited to form a reef beach. <bold>(B)</bold> Coastal erosion scarps on artificial island coast. <bold>(C)</bold> Straight shore erosion.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g003.tif"/>
</fig>
<p>(5) U5</p>
<p>The beach width is characterized by the distance between the water edge and the grass edge or the shelterbelt; the smaller the width of the beach is, the greater the energy of tidal water scouring the beach, the higher the degree of erosion and retreat of the corresponding shoreline, and the higher the vulnerability. Wider beaches often fail to scour vegetation slopes and have a larger distance for buffering and releasing energy, so their vulnerability is relatively low. The beach width data in this paper were obtained from a field survey of the field research area in 2021 (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<p>(6) U6</p>
<p>The greater the slope value of the beach is, the stronger the scouring ability of the waves to increase water and climb the slope, and the corresponding erosion vulnerability is larger and vice versa. The beach slope data were derived from field survey measurement data in the study area in 2021. If there were several survey points in a unit, the average value of the beach slope recorded at each survey point was taken as the slope value of the section (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<p>(7) U7</p>
<p>The socioeconomic development and construction of coastal areas also enhances the degree of vulnerability to coastal disasters, making the degree of coastal development an indispensable factor in vulnerability assessment (<xref ref-type="bibr" rid="B25">Dolan and Walker, 2006</xref>; <xref ref-type="bibr" rid="B9">Bathi and Das, 2016</xref>; <xref ref-type="bibr" rid="B31">Hoque et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B2">Alam et&#xa0;al., 2020</xref>). The degree of coastal development mainly refers to the status quo of coastal utilization and development, including tourism development, aquaculture development, port and dam construction, man-made engineering construction and development. The higher the degree of development is, the higher the corresponding vulnerability index (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<p>(8) U8</p>
<p>The density of human activities is represented by the density of human activities on different coasts in the same time period or in a specific time period. The rapid growth of coastal populations and changes in natural habitats have brought greater pressure on coastal land, and the degree of vulnerability has gradually increased; in contrast, natural coasts with less human activities have better coastal beaches and environments, and their vulnerability is lower (<xref ref-type="bibr" rid="B48">Parvin et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B6">Appeaning, 2013</xref>; <xref ref-type="bibr" rid="B45">Narra et&#xa0;al., 2019</xref>). There are different anthropogenic activities, such as fishing activities, tourism, and resident population activities, along the coast of the study area. The data were obtained through the Baidu population heatmap to obtain the relative activity data of the Qionghai-Wanning coastal population in the same time period to characterize the anthropogenic activity density (accuracy is 1 km) and assign values to different personnel densities (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Index weights and evaluation methods</title>
<p>In a multi-indicator evaluation decision, it is necessary to prioritize indicators and find the advantage or weight level of each indicator relative to other indicators to achieve a more accurate evaluation goal. Various commonly used methods in verifying effectiveness include the AHP (<xref ref-type="bibr" rid="B44">Mosadeghi et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B13">Cabrera and Lee, 2019</xref>; <xref ref-type="bibr" rid="B54">Saffaria et&#xa0;al., 2020</xref>), maximum entropy model (MAXENT) (<xref ref-type="bibr" rid="B14">Cabrera and Lee, 2020</xref>), rank weight method (<xref ref-type="bibr" rid="B2">Alam et&#xa0;al., 2020</xref>), proportional weight method (<xref ref-type="bibr" rid="B27">Dou et&#xa0;al., 2017</xref>), fuzzy analytic hierarchy process method (<xref ref-type="bibr" rid="B64">Wijitkosum and Sriburi, 2019</xref>), and fuzzy logic method (<xref ref-type="bibr" rid="B30">Hoque et&#xa0;al., 2021a</xref>), and Cabrera and Lee showed that the AHP method was a reliable method in vulnerability assessment research based on multiple indicators. In this study, a combination of DM and TEM methods was used to analyze and calculate the index weights.</p>
<p>(i) In the DM method, the consistency ratio (<italic>CR</italic>) was introduced as a reliable index for judging the consistency of the matrix to overcome the randomness in the index judgment process (<xref ref-type="bibr" rid="B53">Saaty, 1980</xref>). The <italic>CR</italic> represents the comparison between the consistency index (<italic>CI</italic>) and the random consistency index (<italic>RI</italic>). When CR&lt;0.1, the corresponding judgment matrix is acceptable for the AHP method, and if <italic>CR</italic>&gt;0.1, the judgment matrix is readjusted.</p>
<p>The calculation formula of DM is as follows:</p>
<disp-formula>
<label>(1)</label>
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<mml:mrow>
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<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3bb;</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
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<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>(1) where <italic>&#x3bb;</italic>
<sub>
<italic>max</italic>
</sub> is the largest eigenvalue of the <italic>n</italic>-order judgment matrix, <italic>n</italic> is the number of evaluation indicators. (2) where <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3bb;</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the average value of the maximum eigenvalues of the <italic>n</italic>-order random positive and negative square matrix.</p>
<p>The TEM calculation formula is as follows:</p>
<disp-formula>
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
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<mml:mi>k</mml:mi>
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>ln</mml:mi>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
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<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
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<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x2026;</mml:mo>
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<mml:mtext>j</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
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<mml:mo>&#x2026;</mml:mo>
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</mml:mrow>
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</mml:math>
</disp-formula>
<disp-formula>
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
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</mml:msubsup>
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<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x2026;</mml:mo>
<mml:mtext>m</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where constant <italic>k</italic>=1/ln(n) in (4), <italic>m</italic> is the number of factor indicators, <italic>n</italic> is the number of evaluation units. 0&#x2264;<italic>a<sub>i</sub> &#x2264;</italic> 1, <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>=1.</p>
<p>The comprehensive weight values of the indicators calculated based on the DM and TEM are shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Index weight value of coastal erosion vulnerability assessment.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Evaluation Index</th>
<th valign="top" align="center">DM</th>
<th valign="top" align="center">TEM</th>
<th valign="top" align="center">Comprehensive weight <italic>Ci</italic>
</th>
<th valign="top" align="center">Weights ordering</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Change rate of shoreline U1</td>
<td valign="top" align="center">0.2821</td>
<td valign="top" align="center">0.0531</td>
<td valign="top" align="center">0.1676</td>
<td valign="top" align="center">1</td>
</tr>
<tr>
<td valign="top" align="left">Rate of change of isobath U2</td>
<td valign="top" align="center">0.1936</td>
<td valign="top" align="center">0.0544</td>
<td valign="top" align="center">0.1240</td>
<td valign="top" align="center">5</td>
</tr>
<tr>
<td valign="top" align="left">Interannual downward rate erosion of beach U3</td>
<td valign="top" align="center">0.1827</td>
<td valign="top" align="center">0.0845</td>
<td valign="top" align="center">0.1336</td>
<td valign="top" align="center">4</td>
</tr>
<tr>
<td valign="top" align="left">Coast type U4</td>
<td valign="top" align="center">0.0764</td>
<td valign="top" align="center">0.0584</td>
<td valign="top" align="center">0.0674</td>
<td valign="top" align="center">8</td>
</tr>
<tr>
<td valign="top" align="left">Beach width U5</td>
<td valign="top" align="center">0.0732</td>
<td valign="top" align="center">0.2487</td>
<td valign="top" align="center">0.1609</td>
<td valign="top" align="center">2</td>
</tr>
<tr>
<td valign="top" align="left">Beach slope U6</td>
<td valign="top" align="center">0.0594</td>
<td valign="top" align="center">0.0900</td>
<td valign="top" align="center">0.0747</td>
<td valign="top" align="center">7</td>
</tr>
<tr>
<td valign="top" align="left">Degree of coastal development U7</td>
<td valign="top" align="center">0.0938</td>
<td valign="top" align="center">0.1406</td>
<td valign="top" align="center">0.1172</td>
<td valign="top" align="center">6</td>
</tr>
<tr>
<td valign="top" align="left">Population density U8</td>
<td valign="top" align="center">0.0388</td>
<td valign="top" align="center">0.2703</td>
<td valign="top" align="center">0.1545</td>
<td valign="top" align="center">3</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The CVI has two mathematical calculation methods: one is to find the square root of the &#x201c;product&#x201d;, and the other is to weight the &#x201c;sum&#x201d;. When the weight of each indicator can be determined, the weighted summation method is adopted (<xref ref-type="bibr" rid="B39">Liu et&#xa0;al., 2013</xref>), and the formula is as follows:</p>
<disp-formula>
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
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<mml:mo>=</mml:mo>
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<mml:mo>&#x2211;</mml:mo>
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</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>In the (7), <italic>P<sub>i</sub>
</italic> is the quantitative grading value of each evaluation index, and <italic>C<sub>i</sub>
</italic> is the weight value corresponding to the index.</p>
</sec>
</sec>
<sec id="s4" sec-type="results">
<label>4</label>
<title>Results</title>
<sec id="s4_1">
<label>4.1</label>
<title>Temporal and spatial distribution characteristics of erosion and siltation</title>
<sec id="s4_1_1">
<label>4.1.1</label>
<title>Spatial distribution characteristics of erosion and siltation</title>
<p>In 2021, there were 37 eroded shore sections and 5 silted shore sections in the study area. The longest eroded section was located in Baoding Bay, south of Wanning Wuchang Port, with a length of 3.5 km, and the shortest was 37 m (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). The cumulative length of the eroded section in Qionghai-Wanning was approximately 26.12 km, accounting for approximately 17.96% of the total shore section. The accumulative length of the silted section was approximately 4.95 km, accounting for approximately 3.40% of the total shore section, and the stable section accounted for approximately 78.64% of the total shore section. The eroded shores were widely distributed and mostly occurred on the northern and southern coasts of the artificial island, as well as in headland bays, both sides of the estuary, and seaward protruding shores. Among them, erosion must occur on the coasts of headlands and artificial islands, and the degree of erosion was significantly stronger than that of the straight coast. The siltation section was less distributed and occurred in the inner side of artificial islands, in the angle between the harbor and the dam, and on the floodplain position of the estuary.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Spatial distribution map of coastal erosion and deposition in Qionghai-Wanning in 2021.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g004.tif"/>
</fig>
<p>The monitoring results of the beach profile showed that most of the beaches are in a state of erosion, and the shore sections with relatively large downward erosion were mainly distributed in artificial islands, headlands and estuaries, such as Qionghai Longwan, Tanmen Artificial Island, Coral Island, and Riyue Island in Wanning. The maximum downward erosion rate was located at the jade belt beach of Wanquan Estuary, with a value of approximately -12.8 cm/a, followed by that in Riyue Bay in Wanning, showing a rate of decline of -10 cm/a.</p>
</sec>
<sec id="s4_1_2">
<label>4.1.2</label>
<title>Temporal distribution characteristics of erosion and siltation</title>
<p>The most direct characterization of coastal erosion and siltation is the advance and retreat of the coastline. From 1985 to 2015, 7 periods of remote sensing images were used to monitor the rate of change of the coastline and showed that (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), the Qionghai-Wanning coastal was in a state of weak siltation and erosion as a whole, and it was distributed throughout the northern and southern coasts of Qionghai-Wanning. Among them, the siltation rate of 0-6.29 m/a accounted for the largest proportion, approximately 50.15%, and was mainly distributed in the relatively straight sandy section, such as Gangbei port in the north section and the Wanquan River mouth in the north and south sections. Second, the weakest erosion rate was -0.99-0 m/a, accounting for approximately 39.54%, and these areas were mainly distributed along the coast of Shimei Bay, Riyue Bay and other cape bays in Wanning. The maximum erosion rate was -1.00~-7.58 m/a, accounting for approximately 6.77%, and these areas were mainly distributed in the Wanquan River estuary and the Tanmen artificial island section. The maximum rate of siltation on the coastline was 20.74-39.49 m/a, accounting for approximately 0.65%, and these sites were mainly north of Longwan Port. From the 1990s to the early 2000s, villagers reclaimed and built ponds in the shallow coral reef area and continuously reclaimed them to the sea, making the coastline advance to the sea at an increasing rate. Moreover, the construction of impervious roads connecting the artificial islands to the islands increased the artificial coastline, which also had a significant impact on coastal erosion and siltation.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Distribution characteristics and proportion of Qionghai-Wanning coastline change rate from 1985 to 2015.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Characteristics of coastal erosion vulnerability</title>
<sec id="s4_2_1">
<label>4.2.1</label>
<title>Spatial distribution characteristics of coastal erosion vulnerability</title>
<p>The erosion vulnerability assessment results are shown in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>. Most of the coastal erosion in Qionghai-Wanning is in a state of moderate vulnerability or above, accounting for approximately 59% of the total shore section, of which the vulnerability of high and above exceeds 31%, including 2 with very high vulnerability and 7 with high vulnerability. The very high vulnerability was distributed in the Wanquan Estuary of Qionghai and the nearby coasts to the south. The high vulnerability was distributed in some capes and estuaries, such as to the south of the Wanquan estuary and on the nearby shores of Wanning Shimei Bay, while a small part of the straight coasts had a higher vulnerability status. 8 locations had moderate vulnerability, accounting for approximately 28%, and the sites were relatively scattered, mainly distributed in some inner bays of the headlands, such as Wanning Dongwo Bay and Shimei Bay. There were 12 places with low vulnerability and below, including 3 places with low vulnerability and 9 places with very low vulnerability, accounting for approximately 41% of the Qionghai-Wanning coast, and these sites were mainly distributed in the coral reef area to the north of Tanmen Port, the headlands formed by various bedrocks, such as Wanning Dahuajiao, Shimeiwan headland, and the coasts where bedrock and sand alternately appear. Areas with hard engineering, such as port terminals and damp-proof gates also had a lower vulnerability.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Spatial distribution characteristics and proportion of coastal erosion vulnerability in Qionghai-Wanning.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g006.tif"/>
</fig>
</sec>
<sec id="s4_2_2">
<label>4.2.2</label>
<title>Vulnerability level characteristics</title>
<sec id="s4_2_2_1">
<label>4.2.2.1</label>
<title>Very high vulnerability</title>
<p>The very high vulnerability of Qionghai-Wanning coastal erosion occurred in the C8 and C10 sections, located in the Wanquan River mouth and adjacent coasts, which corresponded to the erosion intensity of the Wanquan Estuary. The interannual downward erosion rate U3 of the beach in this section was approximately -12.8 cm/a, which was the maximum value in the study area (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>. U3). This was related to the complex and strong hydrodynamic effects of the estuary. In addition, the beach slope (U6) of this section was generally higher than that of the other sections, and anthropogenic activity (U8) had a higher value due to the influence of intensive human activities such as Boao tourism and boat navigation. In general, the very high vulnerability was due to the dominant influence of a higher interannual downward erosion rate, steeper beach slope and denser anthropogenic activities.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Vulnerability index and evaluation factor curve (The color of CVI curve corresponds to its vulnerability degree). <bold>(A)</bold> The relationship between U1-U3 index and CVI curve. <bold>(B)</bold> The relationship between U4-U6 index and CVI curve. <bold>(C)</bold> The relationship between U7, U8 index and CVI curve.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g007.tif"/>
</fig>
</sec>
<sec id="s4_2_2_2">
<label>4.2.2.2</label>
<title>High vulnerability</title>
<p>The areas with higher vulnerability were mainly distributed along some coasts, such as the headland bays and estuaries of northern and southern Wanquan estuary (C7) and the coastal sections near Shimei Bay (C27) in Wanning. The section with a high vulnerability distribution was accompanied by an obvious erosion phenomenon, and the beach slope (U6) of the high vulnerability c14 section had a maximum slope of approximately 65&#xb0; (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>. U6). The overall slope range was generally 7-11&#xb0;, and the interannual downward erosion rate (U3) of the beach was between 0 and 1.2 cm. It had obvious characteristics, such as more human activities; in addition, the coasts with high vulnerability had the characteristics of wider beaches, and the other factors had no obvious common characteristics. In summary, high vulnerability was characterized by a certain width of beach, and the slope and human activities had a greater impact.</p>
</sec>
<sec id="s4_2_2_3">
<label>4.2.2.3</label>
<title>Moderate vulnerability</title>
<p>The Qionghai-Wanning moderate vulnerability distribution was relatively scattered, and it was moderately vulnerable in the straight shore section, some headland coasts, and coral reef coasts. Additionally, we found that under the protection of coral reefs, the degree of vulnerability was generally low, but under the combined influence of artificial islands and coral reefs, the degree of vulnerability increased on artificial island coasts. For example, section c5 in the Tanmen artificial island area was moderately vulnerable. The common feature of moderate vulnerability was that the isobath change rate (U2) was between -15.69 and -7.93 m/a, and the rest had no obvious features.</p>
</sec>
<sec id="s4_2_2_4">
<label>4.2.2.4</label>
<title>Low and very low vulnerability</title>
<p>Except for the low vulnerability of some coral reef shore sections, bedrock shorelines, hard artificial shorelines, etc., the remaining low-vulnerability sections had obvious common characteristics, such as relatively gentle bank slopes, lower shoreline change rates, smaller isobath change rates, and interannual siltation states of beaches (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>). Furthermore, some beaches had better protection under the action of alternate bedrocks and showed lower vulnerability; therefore, the hard coast type played a leading role in lower vulnerability.</p>
</sec>
</sec>
</sec>
</sec>
<sec id="s5" sec-type="discussion">
<label>5</label>
<title>Discussion</title>
<sec id="s5_1">
<label>5.1</label>
<title>Variation in coastal erosion vulnerability</title>
<p>Through the Spearman correlation coefficient method (<xref ref-type="bibr" rid="B50">Rodgers and Nicewander, 1988</xref>), statistical analysis was carried out on the correlation between the raw data of each evaluation factor and the vulnerability index, and the results are shown in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Correlation between CVI and each evaluation factor based on Spearson method.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Control variables</th>
<th valign="top" align="center">Index</th>
<th valign="top" align="center">coefficient</th>
<th valign="top" align="center">CVI</th>
<th valign="top" align="center">U1</th>
<th valign="top" align="center">U2</th>
<th valign="top" align="center">U3</th>
<th valign="top" align="center">U4</th>
<th valign="top" align="center">U5</th>
<th valign="top" align="center">U6</th>
<th valign="top" align="center">U7</th>
<th valign="top" align="center">U8</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="18" align="left">Nothing</td>
<td valign="top" rowspan="2" align="left">CVI</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">-0.170</td>
<td valign="top" align="center">0.079</td>
<td valign="top" align="center">-0.478</td>
<td valign="top" align="center">0.067</td>
<td valign="top" align="center">0.785</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">-0.078</td>
<td valign="top" align="center">-0.205</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.377</td>
<td valign="top" align="center">0.685</td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="center">0.730</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">0.936</td>
<td valign="top" align="center">0.688</td>
<td valign="top" align="center">0.286</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U1</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.170</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">-0.296</td>
<td valign="top" align="center">0.393</td>
<td valign="top" align="center">0.266</td>
<td valign="top" align="center">0.042</td>
<td valign="top" align="center">-0.231</td>
<td valign="top" align="center">0.425</td>
<td valign="top" align="center">-0.299</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.377</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.118</td>
<td valign="top" align="center">0.035</td>
<td valign="top" align="center">0.162</td>
<td valign="top" align="center">0.829</td>
<td valign="top" align="center">0.228</td>
<td valign="top" align="center">0.022</td>
<td valign="top" align="center">0.115</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U2</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">0.079</td>
<td valign="top" align="center">-0.296</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">-0.040</td>
<td valign="top" align="center">-0.098</td>
<td valign="top" align="center">0.454</td>
<td valign="top" align="center">-0.129</td>
<td valign="top" align="center">-0.157</td>
<td valign="top" align="center">0.025</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.685</td>
<td valign="top" align="center">0.118</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.835</td>
<td valign="top" align="center">0.611</td>
<td valign="top" align="center">0.013</td>
<td valign="top" align="center">0.505</td>
<td valign="top" align="center">0.417</td>
<td valign="top" align="center">0.896</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U3</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.478</td>
<td valign="top" align="center">0.393</td>
<td valign="top" align="center">-0.040</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.059</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">-0.285</td>
<td valign="top" align="center">0.033</td>
<td valign="top" align="center">0.020</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="center">0.035</td>
<td valign="top" align="center">0.835</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.761</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.133</td>
<td valign="top" align="center">0.865</td>
<td valign="top" align="center">0.917</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U4</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">0.067</td>
<td valign="top" align="center">0.266</td>
<td valign="top" align="center">-0.098</td>
<td valign="top" align="center">0.059</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.035</td>
<td valign="top" align="center">0.105</td>
<td valign="top" align="center">0.282</td>
<td valign="top" align="center">0.096</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.730</td>
<td valign="top" align="center">0.162</td>
<td valign="top" align="center">0.611</td>
<td valign="top" align="center">0.761</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.859</td>
<td valign="top" align="center">0.588</td>
<td valign="top" align="center">0.138</td>
<td valign="top" align="center">0.620</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U5</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">0.785</td>
<td valign="top" align="center">0.042</td>
<td valign="top" align="center">0.454</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.035</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">-0.336</td>
<td valign="top" align="center">-0.090</td>
<td valign="top" align="center">-0.316</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">0.829</td>
<td valign="top" align="center">0.013</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.859</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.075</td>
<td valign="top" align="center">0.644</td>
<td valign="top" align="center">0.095</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U6</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">-0.231</td>
<td valign="top" align="center">-0.129</td>
<td valign="top" align="center">-0.285</td>
<td valign="top" align="center">0.105</td>
<td valign="top" align="center"/>
<td valign="top" align="center">1</td>
<td valign="top" align="center">-0.192</td>
<td valign="top" align="center">0.279</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.936</td>
<td valign="top" align="center">0.228</td>
<td valign="top" align="center">0.505</td>
<td valign="top" align="center">0.133</td>
<td valign="top" align="center">0.588</td>
<td valign="top" align="center">0.075</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.320</td>
<td valign="top" align="center">0.143</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U7</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.078</td>
<td valign="top" align="center">0.425</td>
<td valign="top" align="center">-0.157</td>
<td valign="top" align="center">0.033</td>
<td valign="top" align="center">0.282</td>
<td valign="top" align="center">-0.090</td>
<td valign="top" align="center">-0.192</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">-0.080</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.688</td>
<td valign="top" align="center">0.022</td>
<td valign="top" align="center">0.417</td>
<td valign="top" align="center">0.865</td>
<td valign="top" align="center">0.138</td>
<td valign="top" align="center">0.644</td>
<td valign="top" align="center">0.320</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.680</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U8</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.205</td>
<td valign="top" align="center">-0.299</td>
<td valign="top" align="center">0.025</td>
<td valign="top" align="center">0.020</td>
<td valign="top" align="center">0.096</td>
<td valign="top" align="center">-0.316</td>
<td valign="top" align="center">0.279</td>
<td valign="top" align="center">-0.080</td>
<td valign="top" align="center">1</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.286</td>
<td valign="top" align="center">0.115</td>
<td valign="top" align="center">0.896</td>
<td valign="top" align="center">0.917</td>
<td valign="top" align="center">0.620</td>
<td valign="top" align="center">0.095</td>
<td valign="top" align="center">0.143</td>
<td valign="top" align="center">0.680</td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="12" align="left">u4 &amp; u5 &amp; u6</td>
<td valign="top" rowspan="2" align="left">CVI</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">-0.279</td>
<td valign="top" align="center">-0.573</td>
<td valign="top" align="center">-0.754</td>
<td valign="top" align="center">0.102</td>
<td valign="top" align="center">-0.012</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.168</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">0.620</td>
<td valign="top" align="center">0.954</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U1</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.279</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">-0.336</td>
<td valign="top" align="center">0.336</td>
<td valign="top" align="center">0.332</td>
<td valign="top" align="center">-0.313</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.168</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.093</td>
<td valign="top" align="center">0.094</td>
<td valign="top" align="center">0.098</td>
<td valign="top" align="center">0.119</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U2</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.573</td>
<td valign="top" align="center">-0.336</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">-0.026</td>
<td valign="top" align="center">-0.090</td>
<td valign="top" align="center">0.213</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.093</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.899</td>
<td valign="top" align="center">0.663</td>
<td valign="top" align="center">0.297</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U3</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.754</td>
<td valign="top" align="center">0.336</td>
<td valign="top" align="center">-0.026</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">-0.080</td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">&lt;0.001</td>
<td valign="top" align="center">0.094</td>
<td valign="top" align="center">0.899</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.699</td>
<td valign="top" align="center">0.708</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U7</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">0.102</td>
<td valign="top" align="center">0.332</td>
<td valign="top" align="center">-0.090</td>
<td valign="top" align="center">-0.080</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">-0.109</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.620</td>
<td valign="top" align="center">0.098</td>
<td valign="top" align="center">0.663</td>
<td valign="top" align="center">0.699</td>
<td valign="top" align="center"/>
<td valign="top" align="center">0.598</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">U8</td>
<td valign="top" align="left">r</td>
<td valign="top" align="center">-0.012</td>
<td valign="top" align="center">-0.313</td>
<td valign="top" align="center">0.213</td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center">-0.109</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">
<italic>p</italic>
</td>
<td valign="top" align="center">0.954</td>
<td valign="top" align="center">0.119</td>
<td valign="top" align="center">0.297</td>
<td valign="top" align="center">0.708</td>
<td valign="top" align="center">0.598</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
</tbody>
</table>
</table-wrap>
<p>It was assumed that there was no mutual influence between the indicators; that is, in the absence of control variables, the interannual downward rate of erosion of beaches (U3) was moderately negatively correlated with the CVI (<italic>r</italic>=-0.48, <italic>p</italic>&lt;0.01), which showed that the greater the rate of downward erosion was, the greater the degree of vulnerability. The beach width (U5) was strongly correlated with the CVI (<italic>r</italic>=0.79, <italic>p</italic>&lt;0.01) (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>), which indicated that the beach wider had a greater degree of vulnerability. The other indicators were not significantly correlated with the CVI (<italic>|r|</italic>&lt;0.3, <italic>p</italic>&gt;0.05).</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Correlation diagram of comprehensive evaluation vulnerability results and single factor index <italic>Ui</italic> linear regression (x in the figure is the comprehensive evaluation erosion vulnerability index, y is the original data of the factor index).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g008.tif"/>
</fig>
<p>In practical research, coastal vulnerability is the degree of vulnerability based on the morphological characteristics of the coast itself, and the characteristics are affected by conditions such as coastal dynamics and human activities. Therefore, based on the state of coastal morphological factors, we conducted a partial correlation analysis between the vulnerability and the vulnerability of the remaining index factors. The results showed that the rate of change of the isobath (U2) was significantly negatively correlated with coastal vulnerability (<italic>r</italic>=-0.58, <italic>p</italic>&lt; 0.01), indicating that the greater the rate of change of the isobath was, the greater the degree of coastal vulnerability. The interannual downward rate of erosion of the beach (U3) was strongly negatively correlated with the degree of coastal vulnerability (<italic>r</italic>=-0.75, <italic>p</italic>&lt; 0.01); that is, the greater the interannual beach downward erosion rate was, the greater the vulnerability of the coast. The remaining indicators and the CVI were not obviously linearly related (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>). Therefore, the interannual downward erosion rate and isobath change rate of the beach were the main controlling factors in the vulnerability of coastal erosion, and the other factors were secondary factors.</p>
<sec id="s5_1_1">
<label>5.1.1</label>
<title>Coastal morphological factors</title>
<p>Coastal morphological factors are important indicators reflecting the intrinsic characteristics of the coast. The width and slope of the beach can determine the reflection ability of waves, and the reflection ability of waves reflects the characteristics of erosion; that is, the erosion intensity of waves on the beach increasesWangYonghong (<xref ref-type="bibr" rid="B62">Wang, 2018</xref>) and results in a higher erosion vulnerability. In contrast, a gentler slope and a wider beach result in lower vulnerability.</p>
<p>
<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref> shows that the CVI curve was similar to the beach width U5 curve but had an opposite relationship with the slope; that is, a larger slope corresponds to a narrower beach width, which corresponds to a relatively lower vulnerability. In contrast, for flat and wider beaches, the slope was mostly gentle, and the vulnerability was relatively higher. There was a certain gap in the evaluation of individual factors because vulnerability was not presented according to the relationship of a single factor under the superimposed influence of the comprehensive factor indicators, which was consistent with the results of <xref ref-type="bibr" rid="B62">Wang (2018)</xref> in their assessment of erosion vulnerability along the Yangtze River Delta. <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref> shows that the proportion of coastal morphological factors in each segment was different to a certain extent; in general, coastal morphological factors played a secondary role in the vulnerability of each segment.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Map of the proportion of coastal morphology, coastal dynamics, and socioeconomic and human activity factors in each assessment unit.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g009.tif"/>
</fig>
</sec>
<sec id="s5_1_2">
<label>5.1.2</label>
<title>Coastal dynamic factors</title>
<p>The coastal dynamic factors reflect the dynamic change characteristics of the external factors affecting the performance of the coast itself. In this assessment, the coastal vulnerability was characterized by erosion and siltation changes in the position of the supratidal beach, intertidal shoreline and subtidal nearshore sea floor and could better and more comprehensively reflect the vulnerability of the coast itself under the influence of the external environment. The assessment results showed that the coastal dynamic factors in the vulnerability of each segment were the main controlling effects overall (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>). Compared with coastal morphological factors and socioeconomic and human activity factors, they had a greater impact, which was consistent with the research by <xref ref-type="bibr" rid="B31">Hoque et&#xa0;al. (2019)</xref>, <xref ref-type="bibr" rid="B55">Sarwar (2013)</xref>, and <xref ref-type="bibr" rid="B51">Roy and Mahmood (2016)</xref> and most of the studies believe that coastal dynamic factors such as shoreline change rate are the key factors of coastal vulnerability.</p>
<p>
<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref> shows that the interannual downward rate erosion of the beach (U3) was inversely proportional to the CVI curve; in addition, there was no obvious corresponding relationship under the influence of other comprehensive superposition. Our previous index weight evaluation showed that the coastal dynamic factor had a higher weight; in particular, the change rate of the shoreline (U1) had the highest weight value, but it did not have a dominant position in the comprehensive impact of vulnerability. This result was related to the evaluation under the condition of synthesizing various indicators and factors and reflected the comprehensive scientific nature of the CVI method.</p>
</sec>
<sec id="s5_1_3">
<label>5.1.3</label>
<title>Socioeconomic and human activity factors</title>
<p>The integration of socioeconomic and human activity factors enhances the reliability and scientificity of previous erosion vulnerability models that considered only coastal shape or coastal dynamic components (<xref ref-type="bibr" rid="B34">Jana and Bhattacharya, 2013</xref>; <xref ref-type="bibr" rid="B1">Ahmed et&#xa0;al., 2018</xref>). The socioeconomic and human activity factors accounted for the smallest proportions in each evaluation unit and had the smallest impact value overall. The population density (U8) was generally inversely related to the CVI (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7C</bold>
</xref>), which indicated that in anthropogenic activities, the more developed tourism and frequent fishing activities are, the greater the vulnerability of the coast. However, the construction of coastal engineering, such as artificial islands, has had a greater impact on vulnerability than the straight section without engineering construction, which showed a state of moderate vulnerability; therefore, socioeconomic and human activity can increase the degree of coastal vulnerability.</p>
</sec>
</sec>
<sec id="s5_2">
<label>5.2</label>
<title>Coastal types and the CVI</title>
<p>Different types of coastal areas have different erosion vulnerabilities, and even the same type of coastal area will show different results under the combined effect of different factors. There were large ranges of coral reefs (c2-c5) on the coast north of Tanmen Port in Qionghai. The multiyear coastline change rate and vulnerability curve are shown in <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref>. The c2-c4 section progressed with siltation overall, and the corresponding vulnerabilities were all below the low level, which had a certain relationship with the length of the reef flat in the coral reef disk, the roughness of the reef surface, and the reef crown on the wave propagation deformation. When the waves moved to the reef crown position, the wave energy was reduced due to its water blocking effect, causing the wave to increase water. When moving to the reef flat section, the water depth of the reef flat section was shallow, the existence of the large roughness of the reef surface reduced the wave water value, and the wave energy was further reduced. Therefore, the existence of coral reefs has a great energy dissipation effect on wave waterChaoShao (<xref ref-type="bibr" rid="B56">Shao, 2016</xref>). It is a natural revetment barrier, reducing wave scour and erosion, and the coast was protected to a certain extent and showed low vulnerability.</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Shoreline change rate and vulnerability curve of different typical coasts (The left side is the legend of Change rate of shoreline, and the right side is the vulnerability index curve of the corresponding section).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g010.tif"/>
</fig>
<p>The multiyear average rate of change in the c5 section was eroded, and the corresponding vulnerability was moderate vulnerability, which was related to the distribution of 2 artificial islands and the Tanmen port in the c5 coral reef section. Affected by the construction of artificial islands and the fishing activities in the port, the hydrodynamic environment in this area has become complicated, the coral reefs have been degraded, the natural barrier protection of the coral reefs has been reduced, erosion has occurred, and vulnerability has become moderate. In general, the presence of coral reefs has a protective effect on the coast, leaving the adjacent coast with relatively low vulnerability.</p>
<p>The estuarine segment (c8-c10) is the place with the highest degree of vulnerability in the study area, and distributed on both sides of the estuary, which is positively correlated with its erosion intensity. There is a two-way interaction between river runoff and tidal current at the estuary. The flow direction is opposite at high tide and same direction at low tide, forming a complex hydrodynamic environment, indicating that the hydrodynamic interaction at the estuary of the river under natural conditions is the main reason for the high vulnerability of the adjacent coast, which is consistent with the results of <xref ref-type="bibr" rid="B52">Roy et&#xa0;al (2021)</xref> study.</p>
</sec>
<sec id="s5_3">
<label>5.3</label>
<title>Vulnerability verification</title>
<p>In many vulnerability assessment studies, the reliability of the assessment results is verified by the area under the curve (AUC) under the receiver operating characteristic (ROC) curve, which has been widely used and verified by scholars (<xref ref-type="bibr" rid="B32">Hoque et&#xa0;al., 2021b</xref>; <xref ref-type="bibr" rid="B49">Rahman et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B18">Cao et&#xa0;al., 2022a</xref>). By calculating the true positive rate (TPR) and the false positive rate (FPR) as the y axis to draw the characteristic curve, the size of the AUC can be calculated as the probability of verification.</p>
<disp-formula>
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>F</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(9)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where TP (true positives): the number of observed erosion locations accurately identified; FP (false positives): the number of erroneously identified erosion locations in non-eroded regions; TN (true negatives): correctly identified non-erosion locations number of; FN (false negatives): the number of misidentified non-eroded locations in eroded regions (<xref ref-type="bibr" rid="B52">Roy et&#xa0;al., 2021</xref>).</p>
<p>We used the erosion points and non-erosion points determined by 390 observation points (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11A</bold>
</xref>) in the field survey as the validation dataset and the ROC curve in IBM SPSS Statistics 27 software to generate the prediction rate curve. The AUC of the prediction rate was 0.689, namely, the vulnerability assessment reached an accuracy of 68.9% (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11B</bold>
</xref>). The assessment results can provide important references for the development and management of the Hainan Qiongdong coastal zone and the ecological restoration of tropical coral reef biological coasts.</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>
<bold>(A)</bold> Spatial distribution of field survey sites in 2021; <bold>(B)</bold> ROC curve and AUC = 0.689.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-1061769-g011.tif"/>
</fig>
</sec>
</sec>
<sec id="s6" sec-type="conclusions">
<label>6</label>
<title>Conclusion</title>
<p>In this paper, 8 small-scale typical indicators, such as the change rate of the shoreline (U1) and the rate of change of the isobath (U2), were comprehensively selected, and the combination of DM and TEM was used to calculate the weight of comprehensive evaluation indicators, combined with GIS and the CVI to quantitatively evaluate the temporal and spatial distribution characteristics of coastal erosion vulnerability in Qionghai-Wanning, Qiongdong, Hainan.</p>
<p>(1) Most of the coastal erosion was in the state of moderate vulnerability or above, accounting for approximately 59% of the total shore section, of which the high-vulnerability section exceeded 31%. The coasts with higher vulnerability were mainly distributed in the Wanquan Estuary of Qionghai and some coasts of Cape Bay, and a few straight coasts also showed a state of higher vulnerability. The moderately vulnerable coasts were scattered, mainly in the inner bays of some headlands. The lower vulnerability areas accounted for approximately 41% of the Qionghai-Wanning coast, and they mainly distributed in coral reefs, headlands formed by bedrock, hard engineering and other locations.</p>
<p>(2) Under the influence of no control variables, the interannual downward rate erosion of the beach (U3) was negatively correlated with vulnerability, the beach width (U5) was highly positively correlated with vulnerability, and the rest showed an insignificant linear relationship with the CVI. Under the control variables, coastal vulnerability was based on the comprehensive influence of coastal morphological factors, showing that the rate of change of the isobath (U2) and the interannual downward erosion rate of the beach (U3) were highly negatively correlated with vulnerability. Therefore, the interannual downward erosion rate of the beach and the rate of change of the isobath were the main factors affecting the vulnerability to coastal erosion, and the other indicators were secondary factors. In addition, there were large coral reefs distributed north of Qionghai Tanmen as a natural barrier for revetment. The reason is that the length of the reef flat in the coral reef plate, the roughness of the reef surface and the reef crown can reduce the wave erosion and reduce the erosion of the coral reef coast, resulting in lower vulnerability, and the complex hydrodynamic environment, the estuarine coast presents a state of high vulnerability.</p>
<p>(3) The vulnerability was verified by the AUC value under the ROC curve, and the vulnerability assessment reached an accuracy of 68.9%. The assessment results provide a scientific basis for the restoration of coral reef biological coastal ecology and the development and management of the Qiongdong coastal zone.</p>
</sec>
<sec id="s7" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Material</bold></xref>. Further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>Designed the study, wrote the main manuscript and prepared all figures: GF; contributed to the improvement of the manuscript: CC and KF; investigate: YS and KY; figure and software: GF, YS, and KY; all authors reviewed the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>This research was funded by the China Geological Survey Project: Qionghai-wanning Coastal Zone Comprehensive geological survey Project (Grant Nos. ZD20220608), the National Natural Science Foundation of China (Grant No. 42076058, 41930538), the Scientific Research Foundation of Third Institute of Oceanography, MNR (Grant No. 2019006).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>The authors would like to express their sincere thanks to Huilong Xu, Fei Tan who have offered support.</p>
</ack>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2022.1061769/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2022.1061769/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table_1.doc" id="SM1" mimetype="application/msword"/>
</sec>
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