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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">839733</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.839733</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Risk Assessment of Typhoon Disaster Chains in the Guangdong&#x2013;Hong Kong&#x2013;Macau Greater Bay Area, China</article-title>
<alt-title alt-title-type="left-running-head">Wang et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Risk Assessment of Typhoon Disaster</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yujie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1389962/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yin</surname>
<given-names>Yizhou</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1645205/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Song</surname>
<given-names>Lianchun</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1285339/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Key Laboratory of Meteorological Disaster</institution>, <institution>Ministry of Education/International Joint Research Laboratory on Climate and Environment Change/Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters</institution>, <institution>Nanjing University of Information Science and Technology</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Atmospheric Sciences</institution>, <institution>Nanjing University of Information Science and Technology</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>National Climate Center</institution>, <institution>China Meteorological Administration</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1234182/overview">Yihong Duan</ext-link>, Chinese Academy of Meteorological Sciences, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1626825/overview">Shibin Xu</ext-link>, Ocean University of China, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1028949/overview">Mei Liang</ext-link>, Guangdong Ocean University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1630762/overview">Li Dong</ext-link>, Southern University of Science and Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yizhou Yin, <email>yin_yizhou@foxmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Atmospheric Science, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>839733</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>12</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Wang, Yin and Song.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Wang, Yin and Song</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>The typhoon disaster chain is one of the leading climate risks in constructing the Guangdong&#x2013;Hong Kong&#x2013;Macau Greater Bay Area (GBA). In this study, the risks of the typhoon disaster chains including typhoon-induced gales, rainstorms, and storm surges in the GBA, as well as the comprehensive risk of typhoon disaster, are investigated at county level by comprehensively analyzing the hazard, exposure, and vulnerability. The results show that the high- and very-high-risk areas of typhoon&#x2013;gale disaster chain are located in Zhuhai, Zhongshan, Foshan, Dongguan, central-southern Jiangmen, southern Shenzhen, and parts of Huizhou. The high- and very high-risk areas of typhoon&#x2013;rainstorm disaster chain include Zhuhai, Zhongshan, Shenzhen, central-southern Foshan, northern Dongguan, central Jiangmen, and central Huizhou. Regarding the typhoon&#x2013;storm surge disaster chain, the areas at high and very high risk are located in Zhuhai, eastern Zhongshan, and the coastal areas of the Pearl River Estuary. In addition, the comprehensive risk of typhoon disaster is very high in Zhuhai and high in Zhongshan, Jiangmen, Dongguan, and Shenzhen. By verifying the spatial correlation between typhoon disaster risk indexes and actual&#x20;losses, it is found that the comprehensive risk index of typhoon disaster constructed in this study can better reflect the actual losses. Overall, the findings of this study can provide a scientific basis for typhoon disaster prevention and mitigation in the GBA, and it can also serve as a reference for typhoon disaster risk research in other&#x20;areas.</p>
</abstract>
<kwd-group>
<kwd>typhoon</kwd>
<kwd>disaster chain</kwd>
<kwd>risk</kwd>
<kwd>guangdong&#x2013;Hong Kong&#x2013;Macau Greater Bay Area</kwd>
<kwd>hazard</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Key Research and Development Program of China<named-content content-type="fundref-id">10.13039/501100012166</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The typhoon disaster chain is a series of disaster phenomena caused by typhoons, and it is composed of gales, rainstorms, and storm surges, as well as a series of secondary disasters induced by them. The spatiotemporal chain reactions of typhoon disaster chains can amplify disaster situations (<xref ref-type="bibr" rid="B33">Shi et al., 1991</xref>; <xref ref-type="bibr" rid="B34">Shi et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B56">Yu et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B32">Shi et&#x20;al., 2014</xref>). In the context of global warming, the intensity and destructiveness of typhoons have increased significantly, and the proportion of super typhoon has grown remarkably (<xref ref-type="bibr" rid="B44">Webster et&#x20;al., 2005</xref>; <xref ref-type="bibr" rid="B10">Emanuel, 2005</xref>; <xref ref-type="bibr" rid="B22">Mendelsohn et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B16">IPCC 2013</xref>), resulting in more frequent catastrophic events. With population growth, urbanization, and climate change in the past decades, the losses of life and property caused by typhoon disaster chains have risen noticeably (<xref ref-type="bibr" rid="B30">Pielke et&#x20;al., 2005</xref>; <xref ref-type="bibr" rid="B29">Pielke et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B11">Fengjin and Ziniu, 2010</xref>; <xref ref-type="bibr" rid="B12">Fischer et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B1">Chen et&#x20;al., 2021</xref>).</p>
<p>The coastal areas of China have developed economies and dense population. On average, about seven typhoons landed in China per year in recent 30&#xa0;years. From 2004 to 2015, the direct economic losses and fatalities caused by typhoon disasters respectively accounted for 18.3% and 50.2% of those caused by all meteorological disasters (<xref ref-type="bibr" rid="B41">Wang Y. et&#x20;al., 2016</xref>). Approximately 6.3% of the coastal areas in China have a high-risk level of typhoon-induced disasters, and they mainly concentrate in coastal river delta regions (<xref ref-type="bibr" rid="B52">Yin et&#x20;al., 2013</xref>). Guangdong Province has the longest coastline in China, and its coastal cities have developed socioeconomic and a significantly larger population than other provinces. Simultaneously, it is also one of the provinces suffering from the most severe typhoon disasters in China (<xref ref-type="bibr" rid="B40">Wang R. et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B21">Luo et&#x20;al., 2018</xref>). The Guangdong&#x2013;Hong Kong&#x2013;Macau Greater Bay Area (GBA), located in the central coastal area of Guangdong, is the most economically developed and densely populated region of Guangdong and is also the region with the highest risk level of typhoon disaster (<xref ref-type="bibr" rid="B51">Yin et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B46">Xu et&#x20;al., 2015</xref>). In the past 10&#xa0;years, the number and intensity of super typhoons affecting the GBA have increased significantly (<xref ref-type="bibr" rid="B42">Wang et&#x20;al., 2021a</xref>). For example, in August 2017, two typhoons directly attacked Jinwan District, Zhuhai City of the GBA during just 4&#xa0;days. The short time interval of the two typhoons and the high overlap of their landing location set new meteorological records. Specifically, the strong typhoon &#x201c;Hato (2017)&#x201d; was one of the most serious typhoons affecting Zhuhai in history, leading to serious economic losses. In summary, the typhoon disaster is one of the main climate risks in the construction of GBA in the future.</p>
<p>Previous studies on typhoons in China mainly focused on the characteristics, causes, and the impacts of typhoon-induced gale and heavy rainfall (<xref ref-type="bibr" rid="B11">Fengjin and Ziniu, 2010</xref>; <xref ref-type="bibr" rid="B52">Yin et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B8">Deng et&#x20;al., 2015</xref>). <xref ref-type="bibr" rid="B7">Chou et&#x20;al. (2020)</xref> pointed out that the direct economic losses caused by typhoons in China showed a remarkable interdecadal increasing trend, and the losses gradually transferred from the primary industry to the secondary and tertiary industries. In recent years, the disasters caused by typhoons have attracted more and more concerns. Scholars assessed the hazard, vulnerability, exposure, and the risks of typhoon disasters in coastal areas of China (<xref ref-type="bibr" rid="B26">Niu et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B50">Ye et&#x20;al., 2019</xref>). Some studies proposed a classification system of typhoon disaster chains, mainly including typhoon&#x2013;gale chain (a series of disaster phenomena caused by typhoon wind force), typhoon&#x2013;rainstorm chain (a series of disaster phenomena caused by typhoon rainstorm), and typhoon&#x2013;storm surge chain (a series of disaster phenomena caused by typhoon storm surge), and they statistically derived the regional characteristics of disaster intensity and types (<xref ref-type="bibr" rid="B2">Chen et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B36">Shuai et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B40">Wang R. et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B35">Shih et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B57">Yu et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B49">Ye et&#x20;al., 2014</xref>, <xref ref-type="bibr" rid="B48">2020</xref>). In addition, they found that typhoon disasters are related to the track of landing typhoon, and rainstorm is the main factor causing typhoon disasters. Moreover, some scholars used the geographical information system technology to assess typhoon disaster risk and discussed the causes and laws of typhoon disaster chains at city level of Guangdong (<xref ref-type="bibr" rid="B27">Pan et&#x20;al., 2002</xref>; <xref ref-type="bibr" rid="B38">Tang and Liang, 2006</xref>; <xref ref-type="bibr" rid="B59">Zhang et&#x20;al., 2017</xref>). However, these studies did not systematically analyze the influence mechanisms of hazard factors and disaster-pregnant environments for different typhoon disaster chains. Meanwhile, the researches on typhoon disaster risk at county level are insufficient (<xref ref-type="bibr" rid="B13">Gemmer et&#x20;al., 2011</xref>).</p>
<p>Therefore, in this study, based on the disaster data and observation data of typhoons from 2009 to 2020, the hazard, exposure, vulnerability, and the related mechanisms on typhoon disaster chains are analyzed at county level in the GBA. Moreover, the risks of typhoon&#x2013;gale, typhoon&#x2013;rainstorm, and typhoon&#x2013;storm surge disaster chains, as well as the typhoon comprehensive risk, are studied in detail. We hope our results can provide scientific support for typhoon disaster prevention and mitigation in the&#x20;GBA.</p>
<p>The remainder of this article is organized as follows. <xref ref-type="sec" rid="s2">Section 2</xref> briefly introduces the study area, various data and methods&#x20;used in this study. The results are presented in <xref ref-type="sec" rid="s3">Section 3</xref>. Finally, <xref ref-type="sec" rid="s4">Section 4</xref> provides the conclusions and discussion.</p>
<sec id="s1-1">
<title>Study Area, Data, and Methods</title>
<sec id="s1-1-1">
<title>Study Area</title>
<p>The GBA is one of the regions with the highest degree of openness and the strongest economic vitality in China, which is located in the subtropical region of South China and composed of nine cities in the Pearl River Delta (Guangzhou, Shenzhen, Zhuhai, Foshan, Huizhou, Dongguan, Zhongshan, Jiangmen, and Zhaoqing) and two Special Administrative Regions (Hong Kong and Macau). The GBA includes 48 counties (districts), with a total area of 56,000&#xa0;km<sup>2</sup>. By the end of 2020, the permanent resident population in the GBA exceeded 72&#xa0;million, and the gross domestic product (GDP) was more than 11&#xa0;trillion&#x20;yuan.</p>
<p>The GBA is adjacent to the Western Pacific and suffers from great impact of landfall typhoons (<xref ref-type="bibr" rid="B42">Wang et&#x20;al., 2021a</xref>). The river systems in this region are numerous, complex, and staggered, and the river network is densely distributed. Therefore, when superimposed with the flood peaks of rivers, the heavy rainfall brought by typhoons is prone to cause floods and mountain torrents (<xref ref-type="bibr" rid="B59">Zhang et&#x20;al., 2017</xref>). The terrain of GBA is high in the north and low in the south, surrounded by hilly mountains in the west, north, and east. Thus, in the GBA, the geological disasters such as landslide and debris flow often occur under the influence of heavy typhoon rainfall (<xref ref-type="bibr" rid="B60">Zhao et&#x20;al., 2014</xref>). The central-southern GBA is mainly composed of alluvial plains, which are distributed in the main cities in the GBA. Hence, heavy rainfall in this area can easily cause urban waterlogging (<xref ref-type="bibr" rid="B3">Chen et&#x20;al., 2017</xref>). The topography of the GBA plain areas is low and flat, with an average altitude of approximately only 50&#xa0;m, so the GBA lacks a natural barrier against typhoon-induced gales (<xref ref-type="bibr" rid="B51">Yin et&#x20;al., 2012</xref>). In addition, there are many trumpet-shaped estuaries near shore in the GBA, which exacerbates the impact of storm surge in estuaries and ports. Once superimposed with the astronomical spring tides, the storm surge disasters may aggravate (<xref ref-type="bibr" rid="B28">Pang et&#x20;al., 2020</xref>).</p>
</sec>
<sec id="s1-1-2">
<title>Data</title>
<p>Because of the lack of daily meteorological observation data and typhoon disaster data for Hong Kong and Macau, the study area of this research is mainly the Chinese mainland of GBA. The daily (from previous 20:00 to current 20:00 China Standard Time) precipitation and daily maximum wind speed data from 29 meteorological stations used in this study (<xref ref-type="fig" rid="F1">Figure&#x20;1</xref>) are obtained from the Daily Meteorological Dataset of Basic Meteorological Elements of China National Surface Weather Station released by the National Meteorological Information Center of the China Meteorological Administration (<xref ref-type="bibr" rid="B4">China Meteorological Administration, 1991-2018</xref>; <xref ref-type="bibr" rid="B31">Ren et&#x20;al., 2012</xref>). The daily values of meteorological observation since the establishment of the meteorological station are included in this dataset. Daily maximum wind speed is the maximum average wind speed of 10&#xa0;min in 1&#xa0;day. The historical typhoon data are from the Tropical Cyclone Best Track Dataset issued by the Shanghai Typhoon Institute, CMA, including the longitude, latitude, wind speed, and intensity of the typhoon center every 6&#xa0;h (<xref ref-type="bibr" rid="B54">Ying et&#x20;al., 2014</xref>). According to the national standard (GB/T 19,201-2006; grade of tropical cyclones) issued by the <xref ref-type="bibr" rid="B5">China Meteorological Administration, 2006</xref>, based on the maximum average wind speed of 2&#xa0;min at the low level near the tropical cyclone center (<italic>V</italic>
<sub>
<italic>c</italic>
</sub>), tropical cyclones are classified into six grades: tropical depression (10.8&#xa0;m&#xa0;s<sup>&#x2212;1</sup> &#x2264; <italic>V</italic>
<sub>
<italic>c</italic>
</sub> &#x2264; 17.1&#xa0;m&#xa0;s<sup>&#x2212;1</sup>), tropical storm (17.2&#xa0;m&#xa0;s<sup>&#x2212;1</sup> &#x2264; <italic>V</italic>
<sub>
<italic>c</italic>
</sub> &#x2264; 24.4&#xa0;m&#xa0;s<sup>&#x2212;1</sup>), severe tropical storm (24.5&#xa0;m&#xa0;s<sup>&#x2212;1</sup> &#x2264; <italic>V</italic>
<sub>
<italic>c</italic>
</sub> &#x2264; 32.6&#xa0;m&#xa0;s<sup>&#x2212;1</sup>), typhoon (32.7&#xa0;m&#xa0;s<sup>&#x2212;1</sup> &#x2264; <italic>V</italic>
<sub>
<italic>c</italic>
</sub> &#x2264; 41.4&#xa0;m&#xa0;s<sup>&#x2212;1</sup>), severe typhoon (41.5&#xa0;m&#xa0;s<sup>&#x2212;1</sup> &#x2264; <italic>V</italic>
<sub>
<italic>c</italic>
</sub> &#x2264; 50.9&#xa0;m&#xa0;s<sup>&#x2212;1</sup>), and super typhoon (<italic>V</italic>
<sub>
<italic>c</italic>
</sub> &#x2265; 51.0&#xa0;m&#xa0;s<sup>&#x2212;1</sup>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Locations of the Guangdong&#x2013;Hong Kong&#x2013;Macau Greater Bay Area, meteorological stations, and tidal stations.</p>
</caption>
<graphic xlink:href="feart-10-839733-g001.tif"/>
</fig>
<p>The storm surge data used in this study are derived from the Bulletin of China Marine Disaster (2009&#x2013;2020) released annually by the <xref ref-type="bibr" rid="B24">Ministry of Natural Resources, 2009&#x2013;2020</xref>, including the daily peak surge (PS) and ultrawarning tidal level (UWT) from five tidal stations, that is, Taishan, Sanzao, Hengmen, Chiwan, and Huizhou stations. UWT refers to the tide level when the warning threshold is exceeded.</p>
<p>The typhoon disaster data are from the annual climate assessment report (2009&#x2013;2020) released by the National Climate Center, including disaster-affected population, death tolls, missing persons, disaster-affected area, collapsed buildings, and direct economic losses. The economic losses are converted based on the price in 2020. The conversion coefficient is the quotient of the 2020 retail price index and the current year&#x2019;s index. The population and GDP grid data with a resolution of 1&#xa0;km in 2015 are from the Resource and Environment Science and Data Center of the Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences (<ext-link ext-link-type="uri" xlink:href="http://www.resdc.cn/Default.aspx">http://www.resdc.cn/Default.aspx</ext-link>). The digital elevation model and river data of disaster-pregnant environment with the resolution of 1&#xa0;km in 2015 are obtained from the 1:250,000 scale topographic database of the National Geomatic Center of China (<xref ref-type="bibr" rid="B39">Wang et&#x20;al., 2001</xref>). The land use data (1-km resolution) in 2015 are obtained from the Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences (<xref ref-type="bibr" rid="B45">Xu and Gong, 2018</xref>). The vegetation coverage in 2015 is calculated based on the Normalized Difference Vegetation Index product (1-km resolution) from the Moderate Resolution Imaging Spectroradiometer (<xref ref-type="bibr" rid="B9">Didan 2015</xref>).</p>
</sec>
<sec id="s1-1-3">
<title>Methods</title>
<sec id="s1-1-3-1">
<title>Standardization</title>
<p>The standardization method of elements is as follows (<xref ref-type="disp-formula" rid="e1">Eq. 1</xref>).<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>D</italic>
<sub>
<italic>i</italic>
</sub> denotes the standardized value of the <italic>i</italic>th element, <italic>A</italic>
<sub>
<italic>i</italic>
</sub> is the <italic>i</italic>th element value, <italic>min</italic>
<sub>
<italic>i</italic>
</sub> is the minimum of&#x20;the&#x20;<italic>i</italic>th&#x20;element, and <italic>max</italic>
<sub>
<italic>i</italic>
</sub> is the maximum of the <italic>i</italic>th element.</p>
</sec>
<sec id="s1-1-3-2">
<title>Hazard Index</title>
<p>The maximum value of the daily maximum wind speed (MW) during a typhoon process is used as the hazard factor of the typhoon&#x2013;gale disaster chain. The accumulated precipitation (AP) and maximum daily precipitation (MP) during the process are considered as the hazard factors of the typhoon&#x2013;rainstorm disaster&#x20;chain.</p>
<p>In this study, the equation for calculating the hazard of typhoon&#x2013;gale and typhoon&#x2013;rainstorm disaster chains is as follows (<xref ref-type="disp-formula" rid="e2">Eq. 2</xref>).<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>L</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>l</mml:mi>
</mml:msub>
<mml:mo>&#x22c5;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>l</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <italic>H</italic> denotes the hazard factor, <italic>l</italic> <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> represents the level interval of hazard factors, and <italic>w</italic>
<sub>
<italic>l</italic>
</sub> and <italic>P</italic>
<sub>
<italic>l</italic>
</sub> are, respectively, the weighting coefficient of the <italic>l</italic>th interval and the cumulative probability of a hazard factor in this interval. In this study, the probability calculation mainly adopts the information diffusion technology (<xref ref-type="bibr" rid="B15">Huang, 2005</xref>) that is mainly used to solve the probability distribution estimation of the small sample with insufficient information and incomplete data. The calculation method of probability is as follows. It is assumed that <italic>X</italic> <inline-formula id="inf2">
<mml:math id="m4">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>}</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the sample of the hazard factor at a meteorological station, and <italic>U</italic> <inline-formula id="inf3">
<mml:math id="m5">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>}</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the set of possible values of <italic>X</italic> and is called the universe of <italic>X</italic>. In this study, the step size is 1. In addition, for the sample sequence of a hazard factor at all meteorological stations in the GBA, the integral parts of its minimum and maximum values are taken as the starting and ending points, respectively. According to the following equation (<xref ref-type="disp-formula" rid="e3">Eq. 3</xref>), a single-valued observation sample <italic>X</italic>
<sub>
<italic>i</italic>
</sub> can diffuse its information to every point in the set <italic>U</italic>.<disp-formula id="e3">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
<mml:msqrt>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:mfrac>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>&#x3b4;</italic> is the diffusion coefficient, which can be determined according to the maximum value <italic>b</italic>, minimum value <italic>a</italic>, and the number of samples <italic>m</italic> in the sample set. The calculation equation of <italic>&#x3b4;</italic> is as follows (<xref ref-type="disp-formula" rid="e4">Eq. 4</xref>). The number of samples required to participate in the calculation must be 5 or more. If it is fewer than 5, the final probability value will be 0.<disp-formula id="e4">
<mml:math id="m7">
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0.8146</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0.5690</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>6</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0.4560</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>7</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0.3860</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>8</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0.3362</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>9</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0.2986</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>2.6851</mml:mn>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>The occurrence probability of <italic>u</italic>
<sub>
<italic>j</italic>
</sub> is as follows (<xref ref-type="disp-formula" rid="e5">Eq. 5</xref>).<disp-formula id="e5">
<mml:math id="m8">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where<disp-formula id="e6">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>The cumulative probability <italic>P</italic>
<sub>
<italic>l</italic>
</sub> in each level interval is obtained by accumulating <italic>P</italic> (<italic>u</italic>
<sub>
<italic>j</italic>
</sub>) in the corresponding level interval of a hazard factor.</p>
<p>In this study, one typhoon that brings negative effect to the GBA and leads to disasters is defined as a disaster-causing typhoon. Once a typhoon disaster occurs in a county, a disaster-causing typhoon is recorded in that county. Thus, a total of 186&#x20;disaster-causing typhoon samples in all counties of the GBA from 2009 to 2020 are obtained. The MW, AP, and MP values of these samples are extracted to calculate the mean value and standard deviation of the MW, AP, and MP sequences. Typhoons sometimes have a beneficial impact, such as alleviating drought. In order to avoid the &#x201c;good typhoon&#x201d; in the risk assessment, we define the assessment starting point, which is similar to the hazard threshold. In this study, disaster-causing typhoons are used to determine the assessment starting point. Based on the difference between the mean value and standard deviation, the starting points of the assessment for the MW, AP, and MP are 13.5&#xa0;m&#xa0;s<sup>&#x2212;1</sup>, 65 and 50&#xa0;mm, respectively. As long as the values of wind speed and precipitation exceed the assessment starting point, typhoons are regarded as samples of hazard index calculation in the county, even if there is no economic loss. According to different wind speed and precipitation, the MW, AP, and MP can be divided into five levels, as shown in <xref ref-type="table" rid="T1">Table&#x20;1</xref> (<xref ref-type="bibr" rid="B63">Zhu et&#x20;al., 2018</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Level intervals of the maximum value of daily maximum wind speed (MW), accumulated precipitation (AP), and maximum daily precipitation (MP).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Level 1</th>
<th align="center">Level 2</th>
<th align="center">Level 3</th>
<th align="center">Level 4</th>
<th align="center">Level 5</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">MW (m&#xa0;&#xb7;&#xa0;s<sup>&#x2212;1</sup>)</td>
<td align="center">[13.5, 17.2)</td>
<td align="center">[17.2, 24.5)</td>
<td align="center">[24.5, 32.7)</td>
<td align="center">[32.7, 41.5)</td>
<td align="char" char=".">&#x2265;41.5</td>
</tr>
<tr>
<td align="left">AP (mm)</td>
<td align="center">[65, 100)</td>
<td align="center">[100, 200)</td>
<td align="center">[200, 300)</td>
<td align="center">[300, 400)</td>
<td align="char" char=".">&#x2265;400</td>
</tr>
<tr>
<td align="left">MP (mm)</td>
<td align="center">[50, 100)</td>
<td align="center">[100, 150)</td>
<td align="center">[150, 200)</td>
<td align="center">[200, 250)</td>
<td align="char" char=".">&#x2265;250</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>We apply the inverse distance weighted interpolation technique to estimate MW, AP, and MP in 48 counties based on their values at 29 meteorological stations. The linear relationships of the MW, AP, and MP with direct economic losses are shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. Taking the MW as an example, the step size is set to 1&#xa0;m&#xa0;s<sup>&#x2212;1</sup>, and the fitting values of the losses corresponding to each interval between 13 and 41&#xa0;m&#xa0;s<sup>&#x2212;1</sup> are calculated based on the linear relationship shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. The mean values of the MW fitting values in the first four intervals (rounded) are 5,650, 15,126, 26,971, and 40,395, respectively (<xref ref-type="table" rid="T1">Table&#x20;1</xref>). The proportions of these mean values to the sum of the first four intervals are 0.064, 0.172, 0.306, and 0.458, respectively, which are defined as the weighting coefficients of these four intervals. In addition, the weighting coefficient of the fifth interval is set to&#x20;1.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Linear relationships of hazard factors for typhoon&#x2013;gale and typhoon&#x2013;rainstorm disaster chains with direct economic losses.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Linear relationship <italic>y</italic> (LOSS)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>x</italic> (MW)</td>
<td align="center">
<inline-formula id="inf4">
<mml:math id="m10">
<mml:mrow>
<mml:mtext>y</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1579.3</mml:mn>
<mml:mi>x</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>18039</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">
<italic>x</italic> (AP)</td>
<td align="center">
<inline-formula id="inf5">
<mml:math id="m11">
<mml:mrow>
<mml:mtext>y</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>48.236</mml:mn>
<mml:mi>x</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2535.2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">
<italic>x</italic> (MP)</td>
<td align="center">
<inline-formula id="inf6">
<mml:math id="m12">
<mml:mrow>
<mml:mtext>y</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>95.962</mml:mn>
<mml:mi>x</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>444.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Similarly, the weighting coefficients of the AP and MP in each interval are obtained, as shown in <xref ref-type="table" rid="T3">Table&#x20;3</xref>. These weighting coefficients are substituted into <xref ref-type="disp-formula" rid="e2">Eq. 2</xref> to obtain disaster-causing dangerousness of MW, AP, and MP. The disaster-causing dangerousness of MW is standardized according to <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> to obtain the hazard index of typhoon&#x2013;gale disaster chain (<italic>H</italic>
<sub>
<italic>w</italic>
</sub>). The standardized dangerousness of AP and MP is added with the equal weight to obtain the typhoon&#x2013;rainstorm hazard index&#x20;(<italic>H</italic>
<sub>
<italic>r</italic>
</sub>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Weighting coefficients of each hazard factor in different intervals.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Level 1</th>
<th align="center">Level 2</th>
<th align="center">Level 3</th>
<th align="center">Level 4</th>
<th align="center">Level 5</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">MW</td>
<td align="char" char=".">0.064</td>
<td align="char" char=".">0.172</td>
<td align="char" char=".">0.306</td>
<td align="char" char=".">0.458</td>
<td align="char" char=".">1</td>
</tr>
<tr>
<td align="left">AP</td>
<td align="char" char=".">0.129</td>
<td align="char" char=".">0.194</td>
<td align="char" char=".">0.290</td>
<td align="char" char=".">0.386</td>
<td align="char" char=".">1</td>
</tr>
<tr>
<td align="left">MP</td>
<td align="char" char=".">0.128</td>
<td align="char" char=".">0.209</td>
<td align="char" char=".">0.291</td>
<td align="char" char=".">0.372</td>
<td align="char" char=".">1</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The daily PS and UWT are chosen as the hazard factors of typhoon&#x2013;storm surge disaster chain. According to <xref ref-type="bibr" rid="B55">Yu et&#x20;al. (2016)</xref>, the hazard index of typhoon&#x2013;storm surge disaster chain (<italic>H</italic>
<sub>s</sub>) is obtained by using the following:<disp-formula id="e7">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mtext>s</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.4</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mo>&#x27;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.6</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mo>&#x27;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>I&#x27;</italic>
<sub>
<italic>PS</italic>
</sub> and <italic>I&#x27;</italic>
<sub>
<italic>UWT</italic>
</sub> are the standardized <italic>I</italic>
<sub>
<italic>PS</italic>
</sub> (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>) and <italic>I</italic>
<sub>
<italic>UWT</italic>
</sub> (<xref ref-type="disp-formula" rid="e9">Eq. 9</xref>), respectively.<disp-formula id="e8">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>8</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>12</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>16</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>20</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<disp-formula id="e9">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>15</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>20</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where <italic>N</italic>
<sub>1</sub> indicates the frequency of the PS or UWT in the first interval at a tidal station during a certain statistical period, <italic>N</italic>
<sub>2</sub>, <italic>N</italic>
<sub>3</sub>, <italic>N</italic>
<sub>4</sub>, and <italic>N</italic>
<sub>5</sub>, respectively for the second to fifth intervals. The level intervals of PS and UWT are shown in <xref ref-type="table" rid="T4">Table&#x20;4</xref> (China National Standards GB/T 39,418-2020, Grades of Storm Surge).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Level intervals of the daily peak surge (PS) and ultra-warning tidal level (UWT).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Level 1</th>
<th align="center">Level 2</th>
<th align="center">Level 3</th>
<th align="center">Level 4</th>
<th align="center">Level 5</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">PS (cm)</td>
<td align="center">[50, 101)</td>
<td align="center">[101, 151)</td>
<td align="center">[151, 201)</td>
<td align="center">[201, 251)</td>
<td align="center">&#x2265;251</td>
</tr>
<tr>
<td align="left">UWT (cm)</td>
<td align="center">[0, 31)</td>
<td align="center">[31, 81)</td>
<td align="center">[81, 151)</td>
<td align="center">&#x2265;151</td>
<td align="center">&#x2014;</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s1-1-3-3">
<title>Exposure Index</title>
<p>The exposure is generally represented by the GDP and population per unit area. After standardizing the population and GDP data of the GBA in 2015 based on <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>, the socioeconomic exposure index (<italic>E</italic>) is calculated by the following:<disp-formula id="e10">
<mml:math id="m16">
<mml:mrow>
<mml:mtext>E</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>POP</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>GDP</mml:mtext>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>where POP and GDP are the population and GDP at 1-km grid, respectively. According to the expert scoring method, the weighting coefficients of POP and GDP are equal (<xref ref-type="bibr" rid="B43">Wang et&#x20;al., 2021b</xref>). The expert scoring method is mainly based on the results of questionnaires to determine the weight of each evaluation index through the hundred-mark system (<xref ref-type="bibr" rid="B14">He et&#x20;al., 2016</xref>).</p>
</sec>
<sec id="s1-1-3-4">
<title>Vulnerability Index</title>
<p>The terrain (<italic>T</italic>), river network (<italic>R</italic>), and vegetation coverage (<italic>C</italic>) are selected as the factors of vulnerability index (<italic>V</italic>
<sub>r</sub>) for the typhoon&#x2013;rainstorm disaster chain in the GBA (<xref ref-type="bibr" rid="B43">Wang et&#x20;al., 2021b</xref>). We considered elevation and slope as terrain factors affecting typhoon&#x2013;rainstorm disasters (<xref ref-type="bibr" rid="B23">Meraj et&#x20;al., 2015</xref>). The degree of topography and flatness is expressed by absolute elevation and the elevation standard deviation at 1&#x20;&#xd7; 1-km grids, respectively. <italic>T</italic> is assigned according to the different combinations of elevation and elevation standard deviation graded by the <xref ref-type="bibr" rid="B25">National Climate Center of China Meteorological Administration, 2009</xref>. The lower the elevation, the smaller the elevation standard deviation is; the greater the <italic>T</italic>, the more sensitive it is to rainstorm disasters. In terms of the Standard DB33/T 2025-2017 (<xref ref-type="bibr" rid="B61">Zhejiang Meteorological Observatory, 2017</xref>), the combinations of total length of the river within 1&#xa0;km and the distance to the water body are used to characterize the river network (<xref ref-type="bibr" rid="B25">National Climate Center of China Meteorological Administration, 2009</xref>). The place that has greater drainage density and is closer to water body has a higher risk of suffering from typhoon&#x2013;rainstorm disasters (<xref ref-type="bibr" rid="B37">Sun et&#x20;al., 2020</xref>). Because vegetation has a strong function of water and soil conservation, greater vegetation coverage means lower risk of typhoon&#x2013;rainstorm disaster. The vegetation coverage index (<italic>C</italic>) is calculated according to the meteorological standard QX/T394-2019 (<xref ref-type="bibr" rid="B6">China Meteorological Administration, 2012</xref>). After the standardization of <italic>T</italic>, <italic>R</italic>, and <italic>C</italic> (<xref ref-type="disp-formula" rid="e1">Eq. 1</xref>), <italic>V</italic>
<sub>r</sub> can be calculated by <xref ref-type="disp-formula" rid="e11">Eq. 11</xref>. Then, the spatial distribution of the vulnerability index of the disaster-pregnant environment for the typhoon&#x2013;rainstorm disaster chain at 1-km grid spacing in the GBA in 2015 is obtained.<disp-formula id="e11">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mtext>r</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>4</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>T</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>R</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>C</mml:mtext>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>Some studies have pointed out that the lower the elevation and the flatter the terrain, the slower the wind speed weakens, and the more likely to form wind disasters. Conversely, under the same conditions, the higher the vegetation coverage, the greater the corresponding surface roughness, and the smaller the wind speed near the surface (<xref ref-type="bibr" rid="B36">Shuai et&#x20;al., 2012</xref>). In this study, based on the previous research and the topography in the GBA, the terrain and vegetation coverage are regarded as the vulnerability factors for the typhoon&#x2013;gale disaster chain. After the standardization of the terrain data and vegetation coverage (<xref ref-type="disp-formula" rid="e1">Eq. 1</xref>), the vulnerability index (<italic>V</italic>
<sub>
<italic>w</italic>
</sub>) of the disaster-pregnant environment at 1-km grid in the GBA in 2015 can be calculated according to <xref ref-type="disp-formula" rid="e12">Eq. 12</xref>. Note that the weighting coefficients are determined by the expert scoring method (<xref ref-type="bibr" rid="B14">He et&#x20;al., 2016</xref>).<disp-formula id="e12">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mtext>w</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>T</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>C</mml:mtext>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
</p>
<p>Referring to previous studies (<xref ref-type="bibr" rid="B47">Yang, 1997</xref>; <xref ref-type="bibr" rid="B55">Yu et&#x20;al., 2016</xref>; Pang 2020), the terrain elevation data and inland distance from shoreline are taken as the vulnerability factors for the typhoon&#x2013;storm surge disaster chain. The values of vulnerability index (<italic>V</italic>
<sub>s</sub>) for the typhoon&#x2013;storm surge disaster chain are shown in <xref ref-type="table" rid="T5">Table&#x20;5</xref>.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Values of the vulnerability index for the typhoon&#x2013;storm surge disaster&#x20;chain.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Terrain elevation (m)</th>
<th colspan="3" align="center">Inland distance from shoreline (km)</th>
</tr>
<tr>
<th align="center">Level 1 (&#x2264;5)</th>
<th align="center">Level 2 (5&#x2013;10)</th>
<th align="center">Level 3 (10&#x2013;20)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Level 1 (&#x2264;50)</td>
<td align="char" char=".">1</td>
<td align="char" char=".">0.9</td>
<td align="char" char=".">0.8</td>
</tr>
<tr>
<td align="left">Level 2 (50&#x2013;100)</td>
<td align="char" char=".">0.9</td>
<td align="char" char=".">0.8</td>
<td align="char" char=".">0.7</td>
</tr>
<tr>
<td align="left">Level 3 (100&#x2013;300)</td>
<td align="char" char=".">0.8</td>
<td align="char" char=".">0.7</td>
<td align="char" char=".">0.6</td>
</tr>
<tr>
<td align="left">Level 4 (&#x2265;300)</td>
<td align="char" char=".">0.7</td>
<td align="char" char=".">0.6</td>
<td align="char" char=".">0.5</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s1-1-3-5">
<title>Risk Index</title>
<p>According to the disaster risk management framework from the Intergovernmental Panel on Climate Change Fifth Assessment Report (<xref ref-type="bibr" rid="B17">IPCC, 2014</xref>), the gridded risk of typhoon disaster chains can be calculated based on hazard, exposure, and vulnerability. The specific calculation formulas are as follows (<xref ref-type="disp-formula" rid="e13">Eqs. 13</xref>&#x2013;<xref ref-type="disp-formula" rid="e15">15</xref>). All elements are standardized with <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> before they are combined.</p>
<p>The risk index of typhoon&#x2013;gale disaster chain:<disp-formula id="e13">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RISK</mml:mtext>
</mml:mrow>
<mml:mtext>w</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mtext>H</mml:mtext>
<mml:mtext>w</mml:mtext>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>E</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mtext>w</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
</p>
<p>The risk index of typhoon&#x2013;rainstorm disaster chain:<disp-formula id="e14">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RISK</mml:mtext>
</mml:mrow>
<mml:mtext>r</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mtext>H</mml:mtext>
<mml:mtext>r</mml:mtext>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>E</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mtext>r</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>
</p>
<p>The risk index of typhoon&#x2013;storm surge disaster chain:<disp-formula id="e15">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RISK</mml:mtext>
</mml:mrow>
<mml:mtext>s</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mtext>H</mml:mtext>
<mml:mtext>s</mml:mtext>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>E</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mtext>s</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(15)</label>
</disp-formula>
</p>
<p>The above risk indexes are all standardized. The typhoon comprehensive risk index (RISKc) is composed of three disaster chain risks, i.e.,&#x20;typhoon&#x2013;gale, typhoon&#x2013;rainstorm and typhoon&#x2013;storm surge disaster chains. The weight coefficients of each disaster chain risk should be assigned according to their contribution to RISKc. We calculate the correlation coefficients between economic losses and typhoon&#x2013;gale risk index, typhoon&#x2013;rainstorm risk index and typhoon&#x2013;storm surge risk index at county level, and the correlation coefficients are 0.56, 0.55 and 0.50, respectively (<italic>p</italic>&#x20;&#x3c; 0.01). The proportions of the three disaster chain correlation coefficients to the sum are 0.35, 0.34, and 0.31, respectively, and they are the weight coefficients of RISKc. The RISK<sub>c</sub> is then calculated by the weighted average (<xref ref-type="disp-formula" rid="e16">Eq. 16</xref>), and the result values are normalized to the range between 0.5 and 1.<disp-formula id="e16">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RISK</mml:mtext>
</mml:mrow>
<mml:mtext>c</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>35</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>RISK</mml:mtext>
</mml:mrow>
<mml:mtext>w</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>34</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>RISK</mml:mtext>
</mml:mrow>
<mml:mtext>r</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>.</mml:mtext>
<mml:mn>31</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>RISK</mml:mtext>
</mml:mrow>
<mml:mtext>s</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(16)</label>
</disp-formula>
</p>
<p>The natural breakpoint method in ArcGIS is used to classify the risk of typhoon disaster chains. It identifies classification intervals based on the natural grouping inherent in the data, allows for the most appropriate grouping of similar values, and maximizes differences between classes. In this study, we classify the risk of typhoon disaster chains into five levels, including very low risk (level 1), low risk (level 2), moderate risk (level 3), high risk (level 4), and very high risk (level 5). The ranges of risk values at each level are shown in <xref ref-type="table" rid="T6">Table&#x20;6</xref>.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>The risk levels of typhoon disaster chains.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Risk level</th>
<th align="center">Gale</th>
<th align="center">Rainstorm</th>
<th align="center">Storm surge</th>
<th align="center">Comprehensive</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Level 1</td>
<td align="center">[0.50, 0.56)</td>
<td align="center">[0.50, 0.57)</td>
<td align="center">[0.50, 0.72)</td>
<td align="center">[0.50, 0.58)</td>
</tr>
<tr>
<td align="left">Level 2</td>
<td align="center">[0.56, 0.60)</td>
<td align="center">[0.57, 0.63)</td>
<td align="center">[0.72, 0.77)</td>
<td align="center">[0.58, 0.64)</td>
</tr>
<tr>
<td align="left">Level 3</td>
<td align="center">[0.60, 0.65)</td>
<td align="center">[0.62, 0.67)</td>
<td align="center">[0.77, 0.83)</td>
<td align="center">[0.64, 0.69)</td>
</tr>
<tr>
<td align="left">Level 4</td>
<td align="center">[0.65, 0.70)</td>
<td align="center">[0.67, 0.70)</td>
<td align="center">[0.83, 0.90)</td>
<td align="center">[0.69, 0.80)</td>
</tr>
<tr>
<td align="left">Level 5</td>
<td align="center">[0.70, 1.0]</td>
<td align="center">[0.70, 1.0]</td>
<td align="center">[0.90, 1.0]</td>
<td align="center">[0.80, 1.0]</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The typhoon risk index for an administrative region is the average of the risk indexes at all grids in this region.</p>
</sec>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s2">
<title>Results</title>
<sec id="s2-1">
<title>Statistical Characteristics of Disaster-Causing Typhoons</title>
<p>In this study, as long as one of MW, AP, and MP exceeds the assessment starting point in anyone of the 29 meteorological stations during the period of typhoon influence, the typhoon is considered to be an influencing typhoon. From 2009 to 2020, there were 38 influencing typhoons in the GBA, which were regarded as the samples of hazard index calculation in the county. Among them, there were 31&#x20;disaster-causing typhoons, with an average of 2.6 per year. Specifically, the largest number of annual disaster-causing typhoons was 6 in 2009, and the fewest was 1 in 2013 (<xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>). In terms of the monthly distribution, 31&#x20;disaster-causing typhoons occurred from June to October, with relatively more in August and September (9 each month) and relatively fewer (5 or fewer each month) in other months (<xref ref-type="fig" rid="F2">Figure&#x20;2B</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Annual frequency and <bold>(B)</bold> monthly frequency of disaster-causing typhoons in the GBA from 2009 to&#x20;2020.</p>
</caption>
<graphic xlink:href="feart-10-839733-g002.tif"/>
</fig>
<p>Among the 31&#x20;disaster-causing typhoons, 11 landed in the GBA (<xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>) and 13 landed in other places of Guangdong Province (<xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>). These typhoons mainly moved westward. Four typhoons landed in Taiwan or Fujian and went westward through Guangdong after landing (<xref ref-type="fig" rid="F3">Figure&#x20;3C</xref>). Three typhoons made landfall in Hainan with westward-moving tracks and influenced the GBA (<xref ref-type="fig" rid="F3">Figure&#x20;3D</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Tracks of disaster-causing typhoons in GBA <bold>(A)</bold> landfall in GBA; <bold>(B)</bold> landfall in other places of Guangdong; <bold>(C)</bold> landfall in Taiwan or Fujian; <bold>(D)</bold> landfall in Hainan. The colors represent different typhoon levels. Gray means below the intensity of tropical depression, green means tropical depression, blue means tropical storm, cyan means severe tropical storm, yellow means typhoon, orange means strong typhoon, and red means super typhoon. The number indicates the typhoon serial number.</p>
</caption>
<graphic xlink:href="feart-10-839733-g003.tif"/>
</fig>
<p>For the regional distribution of 31&#x20;disaster-causing typhoons, the cumulative number of disaster-causing typhoons in Zhaoqing was the largest (24), followed by Jiangmen (15) and Zhuhai (12), and the least in Shenzhen (6), as shown in <xref ref-type="table" rid="T9">Table&#x20;9</xref>. Although Zhaoqing is located in the inland area of the central and western parts of Guangdong Province, typhoons landing in Guangdong, Fujian, and Hainan may affect Guangning County of Zhaoqing, resulting in more disaster-causing typhoons (<xref ref-type="bibr" rid="B62">Zhou et&#x20;al., 2015</xref>). Guangning County is located in the northwest of the GBA, and typhoons can affect Guangning County after making landfall from the east and west sides of the&#x20;GBA.</p>
<p>
<xref ref-type="fig" rid="F4">Figure&#x20;4</xref> shows the spatial distribution of 186&#x20;disaster-causing typhoon samples at county level in the GBA from 2009 to 2020. The results suggest that there are 47 counties (districts) that suffered from disaster-causing typhoons except the Luogang District of Guangzhou. The Guangning County of Zhaoqing experienced the most (16) disaster-causing typhoons, followed by Taishan City of Jiangmeng (15) and Fengkai County of Zhaoqing (14). Liwan, Yuexiu, Haizhu, and Tianhe Districts of Guangzhou and Luohu and Baoan Districts of Shenzhen have experienced only 1&#x20;disaster-causing typhoon.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Frequency distribution of total disaster-causing typhoons at county level in the GBA from 2009 to&#x20;2020.</p>
</caption>
<graphic xlink:href="feart-10-839733-g004.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>Hazard</title>
<p>The hazard indexes of typhoon&#x2013;gale, typhoon&#x2013;rainstorm, and typhoon&#x2013;storm surge disaster chains in the GBA from 2009 to 2020 are calculated. The ranges of <italic>H</italic>
<sub>
<italic>w</italic>
</sub>, <italic>H</italic>
<sub>
<italic>r</italic>
</sub>, and <italic>H</italic>
<sub>
<italic>s</italic>
</sub> are 0.91&#x2013;5.0, 1.07&#x2013;4.96, and 36.8&#x2013;116.4, respectively. The standardized results are shown in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Spatial distributions of hazard indexes of <bold>(A)</bold> typhoon&#x2013;gale, <bold>(B)</bold> typhoon&#x2013;rainstorm, and <bold>(C)</bold> typhoon&#x2013;storm surge disaster chains in the GBA from 2009 to&#x20;2020.</p>
</caption>
<graphic xlink:href="feart-10-839733-g005.tif"/>
</fig>
<p>For the typhoon&#x2013;gale disaster chain, the areas with high and relatively high hazard index are mainly located in Zhuhai, central-southern Jiangmen, southern Zhongshan, and southeastern Huizhou, whereas the hazard index in the central-northern Zhaoqing, northern Foshan, central-northern Guangzhou, and northern Huizhou is low and relatively low (<xref ref-type="fig" rid="F5">Figure&#x20;5A</xref>). At county level, the hazard index in Xiangzhou, Jinwan, and Doumen Districts of Zhuhai and Taishan District of Jiangmen is the highest, exceeding 0.7. The hazard index in Fengkai, Guangning and Huaiji Counties of Zhaoqing and Conghua District of Guangzhou is the lowest (&#x3c;0.53).</p>
<p>In terms of the typhoon&#x2013;rainstorm disaster chain, the areas with higher hazard index are mainly concentrated in Zhuhai, Zhongshan, Shenzhen, Dongguan, Jiangmen, southern Foshan, and southern Huizhou, whereas areas with lower hazard index are mainly distributed in northern Zhaoqing, northern Guangzhou, and northwestern Huizhou (<xref ref-type="fig" rid="F5">Figure&#x20;5B</xref>). At county level, the hazard index in Futian and Nanshan Districts of Shenzhen, Doumen, Xiangzhou and Jinwan Districts of Zhuhai, and Taishan District of Jiangmen is the highest, exceeding&#x20;0.94.</p>
<p>Moreover, for the typhoon&#x2013;storm surge disaster chain, the areas with higher hazard index are distributed in the coastal regions from eastern Jiangmen to northwestern Shenzhen, where the highest hazard index is in the coastal areas of the central Zhuhai and Dongguan (<xref ref-type="fig" rid="F5">Figure&#x20;5C</xref>). The index in Dongguan and Zhuhai exceeds&#x20;0.85.</p>
<p>In order to verify the rationality of the hazard indexes of typhoon&#x2013;gale and typhoon&#x2013;rainstorm, we calculate the cumulative number of typhoon gale days, rainstorm days, and precipitation from 2009 to 2020 as shown in <xref ref-type="fig" rid="F6">Figure&#x20;6</xref>. It can be found that the spatial distributions of gale days (<xref ref-type="fig" rid="F6">Figure&#x20;6A</xref>) and typhoon&#x2013;gale hazard index (<xref ref-type="fig" rid="F5">Figure&#x20;5A</xref>) are relatively consistent. The spatial correlation coefficient between them reaches 0.98 (<italic>p</italic>&#x20;&#x3c; 0.01). The spatial distributions of accumulated rainstorm days (<xref ref-type="fig" rid="F6">Figure&#x20;6B</xref>), accumulated precipitation (<xref ref-type="fig" rid="F6">Figure&#x20;6C</xref>), and typhoon&#x2013;rainstorm hazard index (<xref ref-type="fig" rid="F5">Figure&#x20;5B</xref>) are also relatively consistent. The spatial correlation coefficients between accumulated rainstorm days and typhoon&#x2013;rainstorm hazard index, accumulated precipitation, and typhoon&#x2013;rainstorm hazard index reach 0.96 and 0.98 (<italic>p</italic>&#x20;&#x3c; 0.01), respectively.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Cumulative typhoon <bold>(A)</bold> gale days, <bold>(B)</bold> rainstorm days, and <bold>(C)</bold> precipitation in the GBA during 2009&#x2013;2020.</p>
</caption>
<graphic xlink:href="feart-10-839733-g006.tif"/>
</fig>
</sec>
<sec id="s2-3">
<title>Exposure</title>
<p>
<xref ref-type="fig" rid="F7">Figure&#x20;7</xref> shows the exposure index with a resolution of 1&#xa0;km in the GBA in 2015. The range of exposure index is 0.5&#x2013;1.0 in this study. The areas with higher exposure index are the highly populated and economically dense areas of the GBA, especially the central part of Guangzhou, central part of Foshan, and southern part of Shenzhen. For example, the statistics show that the population density of Yuexiu District (34,225 people/km<sup>2</sup>), Haizhu District (17,851 people/km<sup>2</sup>), Tianhe District (16,046 people/km<sup>2</sup>), and Liwan District (15,596 people/km<sup>2</sup>) is much higher than the average of other districts in Guangzhou (1,526 people/km<sup>2</sup>). Similarly, the GDP per square kilometer in Yuexiu District (7,987&#xa0;million yuan), Tianhe District (3,569&#xa0;million yuan), Liwan District (1719 million yuan), and Haizhu District (1,574&#xa0;million yuan) is much higher than the average of other districts in Guangzhou (203&#xa0;million yuan) (<ext-link ext-link-type="uri" xlink:href="http://112.94.72.17/portal/queryInfo/statisticsYearbook/index">http://112.94.72.17/portal/queryInfo/statisticsYearbook/index</ext-link>). The exposure index in Huizhou, Zhuhai, Jiangmen, and Zhaoqing is relatively&#x20;lower.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Exposure index distribution of economic society in the GBA in&#x20;2015.</p>
</caption>
<graphic xlink:href="feart-10-839733-g007.tif"/>
</fig>
</sec>
<sec id="s2-4">
<title>Vulnerability</title>
<p>Based on <xref ref-type="disp-formula" rid="e11">Eqs. 11</xref> and <xref ref-type="disp-formula" rid="e12">12</xref> and <xref ref-type="table" rid="T5">Table&#x20;5</xref>, we calculated <italic>V</italic>
<sub>
<italic>w</italic>
</sub>, <italic>V</italic>
<sub>
<italic>r</italic>
</sub>, and <italic>V</italic>
<sub>
<italic>s</italic>
</sub>, and their ranges are 0.003&#x2013;0.42, 0.04&#x2013;0.59, and 0.5&#x2013;1.0 before standardization, respectively. In terms of the typhoon&#x2013;gale disaster chain, the vulnerable areas are mainly located in Foshan, Dongguan, northern Zhongshan, central Zhuhai, central Jiangmen, central Shenzhen, and southern Guangzhou (<xref ref-type="fig" rid="F8">Figure&#x20;8A</xref>). For the typhoon&#x2013;rainstorm disaster chain, the vulnerable areas are mainly distributed in Foshan, northern Dongguan, northern Zhongshan, eastern Zhuhai, southern Guangzhou, central Huizhou, and Zhaoqing along the West River (<xref ref-type="fig" rid="F8">Figure&#x20;8B</xref>). <xref ref-type="fig" rid="F8">Figure&#x20;8C</xref> presents the vulnerability for the typhoon&#x2013;storm surge disaster chain. It is indicated that the vulnerability gradually decreases from coastal areas to the boundaries of the buffer zone 20&#xa0;km away from the coastal lines (<xref ref-type="fig" rid="F8">Figure&#x20;8C</xref>). Because of the relatively low altitude and being close to the coastlines, most coastal areas have the relatively high vulnerability against the typhoon-induced storm surge. On the contrary, the vulnerability in coastal areas of eastern Shenzhen and southeastern Jiangmen is relatively low because they are mostly hilly&#x20;areas.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Vulnerability for <bold>(A)</bold> typhoon&#x2013;gale, <bold>(B)</bold> typhoon&#x2013;rainstorm, and <bold>(C)</bold> typhoon&#x2013;storm surge disaster chains in the GBA in&#x20;2015.</p>
</caption>
<graphic xlink:href="feart-10-839733-g008.tif"/>
</fig>
<p>When the hazard of typhoon disaster is similar, the higher the vulnerability, the higher the typhoon disaster risk. We compare the average vulnerability and comprehensive disaster loss at city level to verify the rationality of vulnerability index. The vulnerability in Dongguan is obviously higher than that in Huizhou, which results in greater typhoon disaster loss (<xref ref-type="table" rid="T7">Table&#x20;7</xref>), whereas they almost have the same hazard index. The same situation happens in Zhongshan and Jiangmen; the higher the vulnerability, the greater the typhoon disaster risk in Zhongshan compared with Jiangmen. Therefore, the vulnerability index constructed in the study is relatively reasonable.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Risk, hazard, exposure, and vulnerability of typhoon&#x2013;gale disaster chain in cities of the GBA.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Risk index</th>
<th align="center">Hazard index</th>
<th align="center">Exposure index</th>
<th align="center">Vulnerability index</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Guangzhou</td>
<td align="char" char=".">0.599</td>
<td align="char" char=".">0.542</td>
<td align="char" char=".">0.518</td>
<td align="char" char=".">0.742</td>
</tr>
<tr>
<td align="left">Shenzhen</td>
<td align="char" char=".">0.644</td>
<td align="char" char=".">0.602</td>
<td align="char" char=".">0.532</td>
<td align="char" char=".">0.756</td>
</tr>
<tr>
<td align="left">Zhuhai</td>
<td align="char" char=".">0.714</td>
<td align="char" char=".">0.731</td>
<td align="char" char=".">0.511</td>
<td align="char" char=".">0.783</td>
</tr>
<tr>
<td align="left">Foshan</td>
<td align="char" char=".">0.657</td>
<td align="char" char=".">0.581</td>
<td align="char" char=".">0.517</td>
<td align="char" char=".">0.839</td>
</tr>
<tr>
<td align="left">Jiangmen</td>
<td align="char" char=".">0.660</td>
<td align="char" char=".">0.686</td>
<td align="char" char=".">0.504</td>
<td align="char" char=".">0.744</td>
</tr>
<tr>
<td align="left">Zhaoqing</td>
<td align="char" char=".">0.565</td>
<td align="char" char=".">0.545</td>
<td align="char" char=".">0.502</td>
<td align="char" char=".">0.663</td>
</tr>
<tr>
<td align="left">Huizhou</td>
<td align="char" char=".">0.588</td>
<td align="char" char=".">0.579</td>
<td align="char" char=".">0.503</td>
<td align="char" char=".">0.686</td>
</tr>
<tr>
<td align="left">Dongguan</td>
<td align="char" char=".">0.655</td>
<td align="char" char=".">0.575</td>
<td align="char" char=".">0.529</td>
<td align="char" char=".">0.822</td>
</tr>
<tr>
<td align="left">Zhongshan</td>
<td align="char" char=".">0.692</td>
<td align="char" char=".">0.647</td>
<td align="char" char=".">0.517</td>
<td align="char" char=".">0.830</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-5">
<title>Risk of Disaster Chains</title>
<p>The risks of typhoon&#x2013;gale, typhoon&#x2013;rainstorm, and typhoon&#x2013;storm surge disaster chains are calculated based on <xref ref-type="disp-formula" rid="e13">Eqs. 13</xref>&#x2013;<xref ref-type="disp-formula" rid="e15">15</xref> and are classified into five levels according to <xref ref-type="table" rid="T6">Table&#x20;6</xref>. For the typhoon&#x2013;gale disaster chain, there are 10, 11, 13, 8, and 6 districts or counties with the risk of level 5, level 4, level 3, level, 2 and level 1, respectively. Level 5 is found in Xiangzhou, Doumen and Jinwan Districts of Zhuhai, Pengjiang and Jianghai Districts of Jiangmen, Chancheng District of Foshan, Futian District of Shenzhen, and Liwan, Yuexiu and Haizhu Districts of Guangzhou. Level 1 is found in only six districts or counties, that is, Conghua of Guangzhou, Guangning, Huaiji, Fengkai and Deqing of Zhaoqing, and Longmen of Huizhou (<xref ref-type="fig" rid="F9">Figure&#x20;9A</xref>). At city level, the top three highest-risk cities are Zhuhai, Zhongshan, and Jiangmen (<xref ref-type="table" rid="T7">Table&#x20;7</xref>). The highest hazard index may result in the highest risk in Zhuhai, although its exposure and vulnerability are not too high compared with other cities. Because the vulnerability index in Zhongshan is higher despite lower hazard index than Jiangmen, its risk is higher than that of Jiangmen.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Risk distributions of <bold>(A)</bold> typhoon&#x2013;gale, <bold>(B)</bold> typhoon&#x2013;rainstorm, <bold>(C)</bold> typhoon&#x2013;storm surge disaster chains, and <bold>(D)</bold> typhoon comprehensive risk in the GBA from 2009 to&#x20;2020.</p>
</caption>
<graphic xlink:href="feart-10-839733-g009.tif"/>
</fig>
<p>For the typhoon&#x2013;rainstorm disaster chain, there are 9, 15, 12, 6, and 6 districts or counties with level 5, level 4, level 3 level, 2 and level 1, respectively. Level 5 is found in Doumen District of Zhuhai, Pengjiang, and Jianghai Districts of Jiangmen, Chancheng District of Foshan, Futian District of Shenzhen, and Liwan, Yuexiu, and Haizhu Districts of Guangzhou and Zhongshan. Level 1 is found in six districts or counties, that is, Conghua District of Guangzhou, Guangning, Huaiji, Fengkai, and Deqing Counties of Zhaoqing and Longmen County of Huizhou (<xref ref-type="fig" rid="F9">Figure&#x20;9B</xref>). At city level, the average risk index in Zhongshan and Zhuhai ranks top two in the GBA because the hazard index in the two cities is greater than 0.9, although their exposure and vulnerability indexes are not too high (<xref ref-type="table" rid="T8">Table&#x20;8</xref>). It can also be seen that the higher risk index in Zhongshan is mainly determined by its higher hazard and vulnerability index. Although the hazard in Jiangmen is relatively high, its exposure and vulnerability are not too high, leading to its low&#x20;risk.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Risk, hazard, and vulnerability of typhoon&#x2013;rainstorm disaster chain in cities of the GBA.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Risk index</th>
<th align="center">Hazard index</th>
<th align="center">Vulnerability index</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Guangzhou</td>
<td align="char" char=".">0.608</td>
<td align="char" char=".">0.691</td>
<td align="char" char=".">0.688</td>
</tr>
<tr>
<td align="left">Shenzhen</td>
<td align="char" char=".">0.678</td>
<td align="char" char=".">0.886</td>
<td align="char" char=".">0.670</td>
</tr>
<tr>
<td align="left">Zhuhai</td>
<td align="char" char=".">0.710</td>
<td align="char" char=".">0.946</td>
<td align="char" char=".">0.705</td>
</tr>
<tr>
<td align="left">Foshan</td>
<td align="char" char=".">0.672</td>
<td align="char" char=".">0.749</td>
<td align="char" char=".">0.787</td>
</tr>
<tr>
<td align="left">Jiangmen</td>
<td align="char" char=".">0.662</td>
<td align="char" char=".">0.899</td>
<td align="char" char=".">0.669</td>
</tr>
<tr>
<td align="left">Zhaoqing</td>
<td align="char" char=".">0.565</td>
<td align="char" char=".">0.646</td>
<td align="char" char=".">0.629</td>
</tr>
<tr>
<td align="left">Huizhou</td>
<td align="char" char=".">0.612</td>
<td align="char" char=".">0.780</td>
<td align="char" char=".">0.641</td>
</tr>
<tr>
<td align="left">Dongguan</td>
<td align="char" char=".">0.675</td>
<td align="char" char=".">0.778</td>
<td align="char" char=".">0.751</td>
</tr>
<tr>
<td align="left">Zhongshan</td>
<td align="char" char=".">0.740</td>
<td align="char" char=".">0.920</td>
<td align="char" char=".">0.781</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In terms of the typhoon&#x2013;storm surge disaster chain, the areas with risk level being high or above are mainly distributed in Zhuhai, eastern Zhongshan, and coastal areas surrounding the Pearl River Estuary (<xref ref-type="fig" rid="F9">Figure&#x20;9C</xref>). Moreover, the risk level in Xiangzhou and Jinwan Districts of Zhuhai is the highest, reaching level 5. At county level, the risk levels of typhoon&#x2013;gale and typhoon&#x2013;rainstorm disaster chains are comparable, except for the coastal areas where the risk of the typhoon&#x2013;storm surge disaster chain is relatively higher.</p>
<p>The typhoon comprehensive risk index is calculated based on <xref ref-type="disp-formula" rid="e16">Eq. 16</xref>, as shown in <xref ref-type="fig" rid="F9">Figure&#x20;9D</xref>. It can be found that the comprehensive risk level reaches level 4 or above in southern Jiangmen, Zhuhai, Zhongshan, Shenzhen, southern Dongguan, southern Foshan, southwestern Guangzhou, and coastal areas of Huizhou, whereas the risk level is level 2 or below in Zhaoqing, northern Guangzhou, and northern Huizhou. At county level, seven districts have the risk of level 5, including Doumen, Xiangzhou, and Jinwan Districts of Zhuhai, Futian, and Nanshan Districts of Shenzhen and Yuexiu and Nansha Districts of Guangzhou.</p>
<p>
<xref ref-type="table" rid="T9">Table&#x20;9</xref> presents the risk distributions of typhoon disaster chains at city level. For the typhoon&#x2013;gale disaster chain, the average risk index is level 5 in Zhuhai; level 4 in Foshan, Jiangmen, Dongguan, and Zhongshan; and level 2 in Guangzhou, Zhaoqing and Huizhou. The average risk index of typhoon&#x2013;rainstorm disaster chain is level 5 in Zhuhai and Zhongshan; level 4 in Foshan, Dongguan, and Shenzhen; and level 1 in Zhaoqing. In terms of the typhoon&#x2013;storm surge disaster chain, the average risk index is level 4 in Zhuhai, Zhongshan, and Dongguan and level 1 in Guangzhou, Zhaoqing, and Foshan, because they are far away from the coastlines. For the typhoon comprehensive risk of each city, it can be found that the risk is level 5 in Zhuhai; level 4 in Zhongshan, Jiangmen, Dongguan, and Shenzhen; level 3 in Foshan; level 2 in Guangzhou and Huizhou; and level 1 in Zhaoqing.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>The number of disaster-causing typhoons, disaster risk level, and comprehensive loss index in each city of the GBA from 2009 to&#x20;2020.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Cities</th>
<th align="center">No. of disaster-causing typhoons</th>
<th align="center">Risk level of typhoon&#x2013;gale</th>
<th align="center">Risk level of typhoon&#x2013;rainstorm</th>
<th align="center">Risk level of typhoon&#x2013;storm surge</th>
<th align="center">Comprehensive risk level</th>
<th align="center">Comprehensive loss index</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Guangzhou</td>
<td align="char" char=".">8</td>
<td align="char" char=".">2</td>
<td align="char" char=".">2</td>
<td align="char" char=".">1</td>
<td align="char" char=".">2</td>
<td align="char" char=".">0.53</td>
</tr>
<tr>
<td align="left">Shenzhen</td>
<td align="char" char=".">6</td>
<td align="char" char=".">3</td>
<td align="char" char=".">4</td>
<td align="char" char=".">3</td>
<td align="char" char=".">4</td>
<td align="char" char=".">0.51</td>
</tr>
<tr>
<td align="left">Zhuhai</td>
<td align="char" char=".">12</td>
<td align="char" char=".">5</td>
<td align="char" char=".">5</td>
<td align="char" char=".">4</td>
<td align="char" char=".">5</td>
<td align="char" char=".">0.70</td>
</tr>
<tr>
<td align="left">Foshan</td>
<td align="char" char=".">8</td>
<td align="char" char=".">4</td>
<td align="char" char=".">4</td>
<td align="char" char=".">1</td>
<td align="char" char=".">3</td>
<td align="char" char=".">0.55</td>
</tr>
<tr>
<td align="left">Jiangmen</td>
<td align="char" char=".">15</td>
<td align="char" char=".">4</td>
<td align="char" char=".">3</td>
<td align="char" char=".">2</td>
<td align="char" char=".">4</td>
<td align="char" char=".">0.59</td>
</tr>
<tr>
<td align="left">Zhaoqing</td>
<td align="char" char=".">24</td>
<td align="char" char=".">2</td>
<td align="char" char=".">1</td>
<td align="char" char=".">1</td>
<td align="char" char=".">1</td>
<td align="char" char=".">0.54</td>
</tr>
<tr>
<td align="left">Huizhou</td>
<td align="char" char=".">10</td>
<td align="char" char=".">2</td>
<td align="char" char=".">2</td>
<td align="char" char=".">2</td>
<td align="char" char=".">2</td>
<td align="char" char=".">0.58</td>
</tr>
<tr>
<td align="left">Dongguan</td>
<td align="char" char=".">9</td>
<td align="char" char=".">4</td>
<td align="char" char=".">4</td>
<td align="char" char=".">4</td>
<td align="char" char=".">4</td>
<td align="char" char=".">0.64</td>
</tr>
<tr>
<td align="left">Zhongshan</td>
<td align="char" char=".">7</td>
<td align="char" char=".">4</td>
<td align="char" char=".">5</td>
<td align="char" char=".">4</td>
<td align="char" char=".">4</td>
<td align="char" char=".">0.72</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-6">
<title>Verification on the Disaster Risk</title>
<p>The disaster-affected population, casualties and missing persons, disaster-affected crop area, collapsed buildings, and direct economic losses are selected as typhoon disaster indicators, and their distributions in the GBA are shown in <xref ref-type="fig" rid="F10">Figure&#x20;10</xref>. From 2009 to 2020, because of typhoon disasters, there were 5.91&#xa0;million people affected, 39 deaths, and direct economic losses of 50.93&#xa0;billion yuan in the GBA. The area with the most disaster-affected population was Jiangmen City (2.037&#xa0;million people). This is because Jiangmen City is located in the southeast coastal area of GBA, which suffered from more disaster-causing typhoons (15) and had a comprehensive risk level 4. The disaster prevention and mitigation capacity of Jiangmen City is relatively weak (<xref ref-type="bibr" rid="B58">Zhang et&#x20;al., 2018</xref>). Also, the largest disaster-affected crop area was in Jiangmen City (278,000&#xa0;ha), which is related to the fact that Jiangmen is the main agricultural base of the GBA. The city with the most collapsed buildings was Zhaoqing City (37,000 buildings), which was associated with mountain torrents and geological disasters caused by the typhoon&#x2013;rainstorm disaster chain in the mountain areas of Zhaoqing (<ext-link ext-link-type="uri" xlink:href="https://www.sohu.com/a/153196981_741455">https://www.sohu.com/a/153196981_741455</ext-link>). The most direct economic loss was in Zhuhai City (22.91&#xa0;billion yuan). This is because the comprehensive risk and the risk of typhoon&#x2013;gale, typhoon&#x2013;rainstorm, and typhoon&#x2013;storm surge disaster chains in Zhuhai are the highest among the nine cities.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(A)</bold> Disaster-affected population, <bold>(B)</bold> casualties and missing persons, <bold>(C)</bold> disaster-affected crop area, <bold>(D)</bold> collapsed buildings, <bold>(E)</bold> direct economic losses, and <bold>(F)</bold> comprehensive loss caused by typhoons in the GBA from 2009 to&#x20;2020.</p>
</caption>
<graphic xlink:href="feart-10-839733-g010.tif"/>
</fig>
<p>The typhoon disaster indicators are standardized according to <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>. Based on the expert scoring method, the weight coefficients of disaster-affected population, casualties and missing population, disaster-affected crop area, collapsed buildings, and direct economic losses are determined as 0.1, 0.35, 0.1, 0.1, and 0.35, respectively. The typhoon comprehensive loss index can be obtained through the weighted average of the disaster indicators above (<xref ref-type="fig" rid="F10">Figure&#x20;10F</xref>). The results suggest that the comprehensive loss index is the highest in Xiangzhou and Doumen Districts of Zhuhai, Xinhui District of Jiangmen, and Zhongshan City, exceeding 0.7. After calculating the average of comprehensive loss index at all counties (districts) in each city (<xref ref-type="table" rid="T9">Table&#x20;9</xref>), we find the largest value is in Zhongshan City, followed by Zhuhai. This situation is related to the high comprehensive risk level in the two cities. Although the comprehensive risk in Shenzhen is level 4, the loss is the lowest, which may be related to the developed economy and the strong capacity of typhoon disaster prevention and mitigation in Shenzhen. The spatial correlation coefficient between the comprehensive risk index and the comprehensive loss index at county level passes the significance test at 99.9% confidence level, indicating that the typhoon comprehensive risk index constructed in this study can well reflect the potential impact of typhoon disasters.</p>
</sec>
</sec>
<sec id="s3">
<title>Conclusions and Discussion</title>
<p>In this study, we developed an objective typhoon risk index from the view of disaster chains. This study is a pioneer to assess typhoon&#x2013;gale, typhoon&#x2013;rainstorm, and typhoon&#x2013;storm surge disaster chains at county level of the GBA. The zoning of typhoon disasters chains can help policy-makers better understand typhoon risks in GBA. The main conclusions are as follows.</p>
<p>For the typhoon&#x2013;gale disaster chain, the areas with risk of level 4 or above are mainly located in Zhuhai, Zhongshan, Foshan, Dongguan, central and southern Jiangmen, southern Shenzhen, and parts of Huizhou. In terms of the typhoon&#x2013;rainstorm disaster chain, the areas with risk of level 4 or greater are mainly concentrated in Zhuhai, Zhongshan, Shenzhen, central-southern Foshan, northern Dongguan, central Jiangmen, and central Huizhou. Moreover, for the typhoon&#x2013;storm surge disaster chain, the areas with risk of level 4 or greater are mainly distributed in Zhuhai, eastern Zhongshan and coastal areas surrounding the Pearl River Estuary. In addition, the typhoon comprehensive risk is level 4 or greater in southern Jiangmen, Zhuhai, Zhongshan, Shenzhen, southern Dongguan, southern Foshan, southwestern Guangzhou, and coastal areas of Huizhou.</p>
<p>At city level, the typhoon comprehensive risk reaches level 5 in Zhuhai and level 4 in Zhongshan Jiangmen, Dongguan, and Shenzhen. At county level, Doumen, Xiangzhou, and Jinwan Districts of Zhuhai, Futian and Nanshan Districts of Shenzhen, and Yuexiu and Nansha Districts of Guangzhou are the areas with very high typhoon comprehensive&#x20;risk.</p>
<p>Moreover, the validation results of the spatial correlation between the typhoon comprehensive risk index and the comprehensive loss demonstrate that the typhoon comprehensive risk index constructed in this study can better reflect the possible impacts of typhoon disasters.</p>
<p>In this study, the risk indexes of typhoon disaster chains in GBA were constructed based on hazard, exposure, and vulnerability. Because of the numerous and complex factors affecting typhoon disaster risk, the selected indicators have certain subjectivity and may not be comprehensive enough. For the hazard index, we adopted the historical observation data of 29 meteorological stations in GBA, and the disadvantage was the spatial resolution limitation. For the exposure index, we need to try the path polygons approach to recognize regional exposure affected by the typhoon as a whole. To summarize, the exposure values for each census block within the county could be more reasonable (<ext-link ext-link-type="uri" xlink:href="https://www.fema.gov/sites/default/files/documents">https://www.fema.gov/sites/default/files/documents</ext-link>). In the assessment of vulnerability, the weights were mainly to indicate the relative importance of terrain, river network, and vegetation coverage, which could affect the results of vulnerability and risk index. In this study, some weight coefficients were determined by the expert scoring method. Although the invited experts have rich experiences in typhoon disaster assessment, which can help us get relatively reasonable results, it was not an objective method as it depends on each expert&#x2019;s subjective understanding. In order to overcome the subjectivity of the weight coefficients, we need to collect more typhoon disaster samples and determine the weight coefficient based on the actual disaster losses in the future. For the typhoon risk index, we adopted the natural breakpoint method in ArcGIS to classify risk levels, whereas the level interval could affect the risks. For now, it is difficult to find all specific quantifiable factors to evaluate typhoon risk, but it should be considered in future researches.</p>
<p>Under the background of global warming, the severe typhoon and its potential destructive power increased in the Northwest Pacific during the past few decades (<xref ref-type="bibr" rid="B20">Li et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B18">Knutson et&#x20;al., 2019</xref>). The increasing trends in rainy days, total precipitation, and maximum 1-h precipitation of per typhoon indicate an enhanced influence of typhoons in South China (<xref ref-type="bibr" rid="B53">Ying et&#x20;al., 2012</xref>). Moreover, sea level rise leads to higher typhoon storm surges along the coast, which can cause severe damage to the GBA. Therefore, climate change detection and attribution for typhoon activity should be further investigated to assist in better understanding of the typhoon disaster risk in the GBA (<xref ref-type="bibr" rid="B19">Lee et&#x20;al., 2020</xref>).</p>
<p>The results of this study have a positive reference for local governments to improve the pertinence of the strategies for the regional typhoon disaster prevention and mitigation. This study reveals that the comprehensive risk of typhoon disaster is very high in Zhuhai and high in Zhongshan, Jiangmen, Dongguan, and Shenzhen. Improving the level of defense against typhoon through engineering measures, increasing green space, and arranging reasonable spatial patterns of impervious surfaces would provide useful ways to mitigate typhoon disasters in these areas. Meanwhile, different typhoon-resistant strategies should be made based on the typhoon disaster chains, the disaster-pregnant environment and the different characteristics of development planning, so as to improve the disaster prevention and mitigation capacity of cities.</p>
</sec>
</body>
<back>
<sec id="s4">
<title>Data Availability Statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="http://www.resdc.cn/Default.aspx">http://www.resdc.cn/Default.aspx</ext-link>.</p>
</sec>
<sec id="s5">
<title>Author Contributions</title>
<p>YJ and YZ contributed to conception and design of the study. YJ wrote the first draft of the article. YZ and LC performed the statistical analysis. YZ and LC revised the article. All authors contributed to manuscript revision, read, and approved the submitted version.</p>
</sec>
<sec id="s6">
<title>Funding</title>
<p>This work was funded by the National Key Research and Development Program of China (2019YFC1510400).</p>
</sec>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>We thank the editor and three reviewers who all made very valuable suggestions for improvement of this manuscript. We thank Nanjing Hurricane Translation for reviewing the English language quality of this&#x20;paper.</p>
</ack>
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