Tropical cyclones (TCs) cause devastating losses of lives and properties every year across the globe. This paper makes use of detailed geographic data on historical TCs and socio-economic conditions for both coastal and inland regions to assess the TC risk in China. Specifically, the mitigation capacity is integrated into the ‘Hazard–Exposure–Vulnerability’ (HEV) framework, and the TC risks are calculated by using the multiplicative/divisive and additive/subtractive formulae based on indicators of hazards, exposure, vulnerability and mitigation. The estimated TC risks are furthermore validated by using the data of direct economic losses and casualties. The results show that coastal areas in China are generally dominated by high TC risks and that inland areas also suffer considerably due to TC-induced secondary disasters. The TC risks calculated by the additive/subtractive formula can better capture the density of direct economic losses and casualties compared with those calculated by the multiplicative/divisive formula. TC hazard plays an important role in determining TC risks in South China, whereas exposure and mitigation play a critical part in determining TC risks in North China. Overall, the consideration of mitigation capacity makes the calculated TC risks more consistent with the magnitude of direct economic losses and casualties.

  • The indicators are illustrated for typical cyclone hazard, exposure, vulnerability and mitigation in mainland China.

  • The mitigation capacity is incorporated into the assessment of tropical cyclone risks for coastal and inland regions.

  • The results are validated by using the direct economic losses and casualties in China during 2004–2017.

Graphical Abstract

Graphical Abstract
Graphical Abstract

Tropical cyclones (TCs), which are rapidly rotating weather systems associated with rainstorms, gales and storm surges, cause enormous property losses and casualties every year (Dong et al. 2010; Paerl et al. 2019; Yang et al. 2020). From 1912 to 2018, it is estimated that around the world, TCs have resulted in 175,500 deaths and 88.35 × 107 United States dollars (USD) of economic losses (Debarati 2017). Located next to the Northwest Pacific Ocean, China is one of the most TC-prone nations in the world and suffers substantially from TCs (Ying et al. 2011; Yang et al. 2020). For instance, the super typhoons of Hato in 2017, Mangkhut in 2018 and Lekima in 2019 affected 14.02 million people and 1139.70 thousand hectares of cropland and led to a direct economic loss of 7.97 billion USD. To better cope with TCs, the spatial pattern of TC risks in the coastal and inland regions must be investigated (Nguyen et al. 2019; Sajjad et al. 2020; Mansour et al. 2021).

Generally, TC risks can be measured by TC hazard models, disaster loss functions and assessment indicators (Barcikowska et al. 2017; Knutson et al. 2020; Lyu et al. 2020). The different approaches pay attention to different aspects of TC risks: hazard models present explicit simulations of the TC intensity, frequency and track under different hydroclimatic scenarios (Barcikowska et al. 2017); disaster loss functions directly link attributes of TCs to socio-economic factors by fitting the joint probability distributions between TC destructiveness and economic losses, casualties and other damages (Bakkensen et al. 2018; Steptoe & Economou 2020); and a large number of indicators on TC hazard, exposure, vulnerability and mitigation capacity are proposed and then applied to the assessment of TC risks (e.g., Nakamura et al. 2015; Lyu et al. 2018).

According to the definitions proposed by the Intergovernmental Panel on Climate Change (IPCC) and the United Nations International Strategy for Disaster Reduction (UNISDR), the risk is composed of the probability of hazard and its negative consequences in hazard-formative environments. Peduzzi et al. (2009) incorporated the exposure into the framework of ‘Hazard–Vulnerability’ (HV) to identify the relationship between vulnerable elements and disaster losses. The framework of Hazard–Exposure–Vulnerability (HEV) was established (Cutter et al. 2013). In recent years, an increasing number of studies highlighted that the mitigation capacity plays an important part in alleviating disaster losses (Lyu et al. 2018, 2020; Nguyen et al. 2019). As a result, the framework of HEV–Mitigation (HEVM) was proposed for risk assessment (Hoque et al. 2018, 2019).

In this paper, the role of mitigation capacity in determining TC risks is investigated under the frameworks of HEV and HEVM (Frigerio & De Amicis 2016; Hoque et al. 2019). Specifically, attention is paid to four typical formulae of risk assessment: the multiplicative formula integrating the hazard, exposure and vulnerability attributes of risk from the perspective of joint probability of independent variables (Zhang & Chen 2019; Ali et al. 2020; Sajjad et al. 2020); the multiplicative/divisive formula incorporating the mitigation capacity as a divisor into the multiplicative formula (Hoque et al. 2019; Nguyen et al. 2019; Sajjad & Chan 2019); the additive formula adding up the attributes of hazard, exposure and vulnerability (Lummen & Yamada 2014; Lyu et al. 2018, 2020); and the additive/subtractive formula accounting for the mitigation as a subtractor in the additive formula (Yang et al. 2013; Ouma & Tateishi 2014; Lyu et al. 2020). Furthermore, the TC risks calculated by the above four formulae are validated by using the data of economic losses and casualties. Therefore, the objectives of this paper are three-fold: (1) to compare the TC risks obtained by the four typical formulae; (2) to examine the effects of hazard, exposure, vulnerability and mitigation in determining TC risks; and (3) to identify a suitable formula for the assessment of TC risks in China.

Study region

China is close to the genesis locations of TCs in the Northwest Pacific Ocean (Figure 1) and is one of the most severe TC-affected countries (Yang et al. 2017; Zhong et al. 2018). Besides the coastal areas, TCs cause serious damage to inland areas as they carry abundant warm and humid air from ocean to land (Kilroy et al. 2016). When meeting cold air and rising terrain in inland regions, there can be strong convective events leading to rainstorms, hails and secondary disasters (Nie & Sun 2022). For example, in July 2021, the inland Henan Province suffered from severe flooding due to heavy rainfall caused by the remnants of Typhoon In-Fa, more than 300 people died, about 14.81 million people were affected, about 1.08 million hectares of crops were destroyed and over 35,300 houses collapsed.
Figure 1

TC tracks affecting mainland China from 1949 to 2017. The gray annular regions are 250-km buffer zones of landed TC tracks. The dots show the locations of TC tracks at 6-h intervals and their colors represent the categories determined by the Saffir–Simpson Hurricane Scale.

Figure 1

TC tracks affecting mainland China from 1949 to 2017. The gray annular regions are 250-km buffer zones of landed TC tracks. The dots show the locations of TC tracks at 6-h intervals and their colors represent the categories determined by the Saffir–Simpson Hurricane Scale.

Close modal

This paper focuses on mainland China and takes provinces that are affected by TCs into account. Specifically, the 6-h interval locations of TC centers, which are obtained from the 1949 to 2017 TC best track data provided by the China Meteorological Administration (CMA), are pooled to form TC tracks; a buffer distance of 250 km is then applied to each TC track to derive the average radius extent of TCs (Dong et al. 2010; Steptoe & Economou 2020). As shown in Figure 1, 28 provinces intersecting with the TC buffer zones are selected as the case study region in the analysis.

Data sources

The sources of the data on TC hazard, exposure, vulnerability and mitigation are listed in Table S1 of the supporting information for the sake of brevity. The best track dataset of the CMA has been widely used to characterize the central location, atmospheric pressure, maximum wind speed and frequency of the TC hazards in East Asia (Zhong et al. 2018; Lyu et al. 2020; Yang et al. 2020). The associated rainfall is also observed by the meteorological station in the ‘China Ground Climate Data Daily Value Dataset (1952–2017)’. The land use/land cover, road network, population, GDP, medical condition, household deposit and public fiscal revenue collected from different sources are used to characterize TC exposure and mitigation (Zhong et al. 2018; Zhang & Chen 2019; Lyu et al. 2020). Topographic and geomorphic datasets, in particular the digital elevation model (DEM), are adopted to extract vulnerability indicators of hazard-formative environment, such as slope, elevation, track proximity and river network density (Gao et al. 2014; Hoque et al. 2019; Zhang & Chen 2019). It is noted that all the data layers have been resampled to 1 × 1-km grid cells in ArcMap 10.5, considering that the original data are at different spatial resolutions.

Overview of the analysis

The datasets of hazard, exposure, vulnerability and mitigation provide valuable information for the assessment of TC risks (Hoque et al. 2018, 2019; Nguyen et al. 2019). As shown in Tables S2 and S3 in the supporting information, both the multiplicative and multiplicative/divisive formulae (Table S2) and the additive and additive/subtractive formulae (Table S3) have been employed to account for the different indicators (Yu et al. 2015; Chakraborty & Joshi 2016; Mansour 2019; Zhang & Chen 2019). Following previous studies, four indicators of TC hazards, three indicators of exposure, eight indicators of vulnerability and five indicators of mitigation are considered in the analysis (Table S4). As shown in Figure 2, four formulae are devised after data pre-processing: (1) HEV-1, the multiplicative formula using hazard, exposure and vulnerability; (2) HEVM-1, the multiplicative/divisive formula considering mitigation as a divisor; (3) HEV-2, the additive formula based on hazard, exposure and vulnerability; and (4) HEVM-2, the additive/subtractive formula treating mitigation as a subtractor. Furthermore, the TC risks estimated by the four formulae are validated by using the data of economic losses and casualties of the 28 provinces in mainland China (excluding Hong Kong, Macau and Taiwan).
Figure 2

Flowchart of the assessment of TC risks in mainland China.

Figure 2

Flowchart of the assessment of TC risks in mainland China.

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Selection of indicators

Hazard indicators

The maximum wind speed has been identified as the primary indicator of TC intensity (Qi & Du 2018; Hoque et al. 2019). Besides, TC track frequency, process precipitation and duration are used to represent the spatial patterns of TC severity based on the historical observation data (Nakamura et al. 2015; Black & Gabriele 2019). This paper employs the indicators of maximum sustained wind speed, process rainfall, landfall frequency and average duration in hazard estimation (Qi & Du 2018; Fang & Zhang 2021; Yin et al. 2021). It is noted that storm surge height, which has a limited extent and only affects coastal areas, is not considered in this paper.

Exposure indicators

Population and properties, e.g., houses, croplands and public facilities, are highly likely to suffer from disaster-related losses and are selected as the exposure indicators (Peduzzi et al. 2009; Geiger et al. 2018). In this paper, gridded GDP density, population density and land use/land cover are used to represent exposure to TCs (Peduzzi et al. 2009; Zhang & Chen 2019). These datasets represent the sensitive objects affected by TCs from different aspects.

Vulnerability indicators

Vulnerability is the susceptible state of vulnerable elements, which involves economic, geographic, demographic and other factors in a broad sense (Yang et al. 2021). Previous studies highlighted the vulnerability that includes topography, vegetation, river networks and age structure (Peduzzi et al. 2009; Cutter et al. 2013; Aerts et al. 2018). In recent years, attention has also been paid to the social and environmental attributes of vulnerability (Frigerio & De Amicis 2016; Kilroy et al. 2016). Therefore, the ratio of primary industry, the ratio of tertiary industry, the ratio of vulnerable people, vegetation cover index, elevation, slope, river network density and coastal proximity toward TC disasters are considered in the analysis (Lummen & Yamada 2014; Chakraborty & Joshi 2016; Hoque et al. 2019; Ali et al. 2020; Mansour et al. 2021).

Mitigation indicators

Mitigation capacity is associated with regional public disaster reduction facilities and economic conditions (Shreve & Kelman 2014; Frigerio & De Amicis 2016). For example, traffic accessibility and medical availability are the key factors in the treatment of wounded, transportation of materials and reconstruction after disasters (Cutter et al. 2013; Frigerio & De Amicis 2016; Hoque et al. 2019). Therefore, the medical levels of sickbeds/doctors per capita, public fiscal revenue and road network density are used as the indicators of mitigation capacity (Hoque et al. 2019). To consider the influence of resident assets, the per capita household deposit is also adopted (Sajjad & Chan 2019).

Risk assessment

Min–max standardization

The indictors of TC hazards and exposure, which contribute to TC risks and losses, are categorized as positive indicators (Saaty 2008). The positive indicators, of which the values are positively correlated with TC risks, are standardized by the following formula:
(1)
where represents the standardized value of the indicator i, represents the original value, and and represent the minimum and maximum original values of the indicator , respectively. As can be seen, Equation (1) transforms the range of positive indicators to [0, 1] to facilitate the comparison of indicators.
The negative indicators, whose values are negatively correlated with TC risks, are standardized by the following equation:
(2)

Coastal proximity, altitude, surface roughness, river network density, vegetation coverage index and mitigation capacity are categorized as negative indicators (Saaty 2008; Zhang et al. 2021).

Weighting

The analytic hierarchy process (AHP) is an effective method for multi-criteria analysis (Saaty 2008; Qi & Du 2018). First, the pairwise comparison matrix is formulated as follows:
(3)
where is the judgment matrix and is the relative importance of factor i to factor . The weights () of the indicators are calculated as follows:
(4)
The value of the consistency ratio (CR), which can be calculated by using Equation (5), is used to assess the sensitivity and consistency of the judgment matrix. If CR  0.1, then the judgment matrix is unreasonable and must be adjusted until CR satisfies the consistency test.
(5)
where , is the largest eigenvalue of the judgment matrix that can be calculated from Equation (6) and RI is the average random consistency index from Lyu et al. (2020):
(6)

The judgment matrix is constructed with the importance ranking of indicators in recent studies on TC risks (Hoque et al. 2019; Lyu et al. 2020). The weights of indicators and criteria are obtained by Equations (4)–(6) based on the importance ranking within and between indicators.

Integrated analysis

Based on the weight coefficients in peer studies (Lyu et al. 2018; Qi & Du 2018; Hoque et al. 2019; Mansour 2019), the relative importance order (range from 1 to 10, the higher order the higher weight) is obtained and the weights are calculated using the AHP method (Table S5); the hazard, exposure, vulnerability and mitigation criteria are obtained as follows:
(7)
in which denotes the ith criterion, represents the jth standardized indicator of and represents the weight of . In this way, according to Equation (7), the hazard, exposure, vulnerability and mitigation indicators are obtained from the weighted average of corresponding indicators.
The multiplicative, multiplicative/divisive, additive and additive/subtractive formulae are implemented to estimate TC risks. Generally, considers that TC risks are the co-occurrence probability of disaster component () (Peduzzi et al. 2009). The risk criteria of hazard, exposure and vulnerability are integrated by the multiplication (Mansour 2019) as follows:
(8)
The mitigation is furthermore considered as a divisor term (Shreve & Kelman 2014) and the is derived as follows:
(9)

Both Equations (8) and (9) are formulated based on the HEV framework that has been widely applied to assess natural disaster risks (e.g. TC and flood) (Frigerio & De Amicis 2016; Aerts et al. 2018; Hoque et al. 2019; Mansour et al. 2021; Zhang et al. 2021).

Furthermore, the weighted overlay method is applied to the risk assessment (Lummen & Yamada 2014; Lyu et al. 2020). The positive and negative criteria represent the positive or negative to the risk. The additive formula is devised as follows:
(10)
where , and are the weights of hazard, exposure and vulnerability (Yang et al. 2013; Ouma & Tateishi 2014; Lyu et al. 2018, 2020). The additive/subtractive is also employed as follows:
(11)
where , , and are the weights of hazard, exposure, vulnerability and mitigation, respectively (Bollin et al. 2006; Rubio et al. 2019, 2020).

The spatial analysis and reclassification tools in ArcMap 10.5 are used for the calculation of the TC hazard, exposure, vulnerability mitigation and risk. The results are classified into five levels, i.e., very low, low, moderate, high and very high, by using the natural break method (Jenks 1967).

TC hazards

The standardized TC hazard indicators are illustrated by using spatial plots in Figure 3. Figure 3(a) shows that the maximum sustained wind speed generally decays from the coastal area to the inland area. In the meantime, due to the flat terrain, TCs moving through the plains of Northeast China and the Yangtze River delta can maintain high wind speed and decline slowly from ocean to land (Kilroy et al. 2016). Figure 3(b) illustrates the extreme values of process rainfall scattered in southeastern coastal areas and southwestern areas of China, which are mainly caused by orographic uplifts of TCs (Zhang & Chen 2019; Zhou & Wu 2019; Gao et al. 2021). Figure 3(c) indicates that the TC frequency tends to be the highest in southeast coastal areas. Figure 3(d) suggests that the spatial distribution of the TC average duration is similar to the TC landfall frequency. Overall, the TC hazard levels tend to attenuate from southeast coastal areas to northwest inland areas (Figure 3(e)).
Figure 3

Spatial patterns of standardized TC hazard indicators in mainland China: (a) maximum sustained wind speed; (b) process rainfall; (c) landfall frequency; (d) average duration; and (e) hazard level. The indicators before standardization are shown in Figure S1 of the supporting information.

Figure 3

Spatial patterns of standardized TC hazard indicators in mainland China: (a) maximum sustained wind speed; (b) process rainfall; (c) landfall frequency; (d) average duration; and (e) hazard level. The indicators before standardization are shown in Figure S1 of the supporting information.

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Exposure to TCs

The indicators of TC exposure are shown in Figure 4. From Figure 4(a), it can be seen that the population is generally concentrated in coastal areas of East China, including the urban agglomerations of the Yangtze Delta, Pearl River Delta, Beijing–Tianjin–Hebei and North China Plain. The GDP density (Figure 4(b)) shows some similar patterns and tends to be concentrated in large cities. Figure 4(c) illustrates the spatial patterns of the land use land cover (LULC) exposure score which are determined by sensitivity order (Hoque et al. 2018, 2019). Croplands with the highest exposure score (0.6) are generally in the Northeast Plain, North China Plain, Yangtze Plain and Chengdu Plain. The settlement (the exposure score is 0.5) tends to be located around large cities. Forestry (exposure score is 0.4) is distributed in the Greater and Lesser Khingan ranges, Changbai mountains, Yunnan–Guizhou Plateau and Southeast hills of China. The integrated result of exposure in Figure 4(d) shows that the moderate, high and very high exposures are concentrated in large cities, including Shanghai, Beijing and Guangzhou, and plains where there are dense settlement, cropland and population. The very low and low exposures are generally located in rural and mountainous areas.
Figure 4

Spatial patterns of standardized TC exposure indicators in mainland China: (a) population density; (b) GDP density; (c) LULC; and (d) exposure level. The indicators before standardization are shown in Figure S2 of the supporting information.

Figure 4

Spatial patterns of standardized TC exposure indicators in mainland China: (a) population density; (b) GDP density; (c) LULC; and (d) exposure level. The indicators before standardization are shown in Figure S2 of the supporting information.

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Vulnerability to TCs

The indicators of TC vulnerability, including the ratio of primary industry (agriculture oriented), the ratio of tertiary industry (commerce oriented), the ratio of vulnerable people, coastal proximity, elevation, slope, normalized difference vegetation index (NDVI) and river network density are shown in Figure 5. It can be observed that the economies of large cities, such as Shanghai and Sanya, are characterized by the low ratio of primary industry (agriculture) (Figure 5(a)) and the high ratio of tertiary industry (service industry) (Figure 5(b)). Compared with the industrial structure, there is no clear aggregation feature in the ratio of vulnerable people that serves as a proxy of population age structure index (Figure 5(c)). The lower the ratio of vulnerable people, the lower the proportion of juvenile and aged population. When struck by TCs, the regions dominated by juvenile and aged people often show weak resistance to disasters (Frigerio & De Amicis 2016). The indicators of the underlying surface condition are also important to TC vulnerability. Besides the impervious surface and desert areas, the values of the vegetation cover index (NDVI) are overall similar (Figure 5(d)). The elevation in Figure 5(e) presents a three-step ladder distribution from coastal to inland. The high slope implying secondary disasters in Figure 5(f) is concentrated in the Greater and Lesser Khingan ranges, Changbai Mountain, Yunnan–Guizhou Plateau and Southeast hills of China. The high river network density areas (Figure 5(g)) are distributed in the North China Plain, Yangtze River Delta and Pearl River Delta, where the regions may be severely affected by TC floods (Yang et al. 2016; Zhang & Chen 2019; Romali & Yusop 2021). Due to the weakening tendency after TC landfall, areas that are located closer to landfall shoreline face higher TC frequency than inland areas in the TC-affected zone (Figure 5(h)).
Figure 5

Spatial patterns of standardized TC vulnerability indicators in mainland China: (a) ratio of primary industry; (b) ratio of tertiary industry; (c) ratio of vulnerable people; (d) vegetation cover index; (e) elevation; (f) slope; (g) river network density; (h) coastal proximity; and (i) vulnerability level. The indicators before standardization are shown in Figure S3 of the supporting information.

Figure 5

Spatial patterns of standardized TC vulnerability indicators in mainland China: (a) ratio of primary industry; (b) ratio of tertiary industry; (c) ratio of vulnerable people; (d) vegetation cover index; (e) elevation; (f) slope; (g) river network density; (h) coastal proximity; and (i) vulnerability level. The indicators before standardization are shown in Figure S3 of the supporting information.

Close modal

The overall level of vulnerability is shown in Figure 5(i). It can be seen that regions with very high vulnerability generally do not coincide with regions exhibiting high hazards. The vulnerability tends to be more varied in inland areas than in coastal areas, with the high vulnerability mainly observed in settlement areas and the other levels observed in cropland, forest and grass areas. The moderate level of vulnerability covers about one-third of the study region, which is due to the proximity to the coastline, vegetation coverage index and terrain roughness. The very low and low vulnerability zones are distributed in inland areas next to the Qinghai–Tibet plateau.

Mitigation of TCs

Road network density, sickbeds per capita, per capita doctors and household deposits that represent the mitigation capability are shown in Figure 6. From Figure 6(a), it can be observed that road network density gradually reduces from large cities to villages, indicating that developed areas invest more in public transport facilities than less developed areas do (Bakioğlu & Karaman 2018). Figure 6(b) and 6(c) illustrate that the per capita sickbeds and doctors in large cities are generally higher than in small- and medium-sized cities, except for the regions of low population density. Figure 6(d) and 6(e) indicate that the high per capita deposit and high public fiscal revenue areas are distributed not only in large cities but also in small sparsely populated cities. The spatial patterns of mitigation reveal that there are substantial differences between urban and rural areas (Figure 6(f)). Most areas of very low and low mitigation are observed in rural and small cities, which are limited in transport and medical resources. These regions have a total area of 687 × 104km² and cover about 74.19% of the study region. The moderate, high and very high mitigation levels are concentrated around large cities, especially for the urban agglomerations of the Pearl River Delta, the Yangtze River Delta and the Beijing–Tianjin–Hebei.
Figure 6

Spatial patterns of standardized TC mitigation indicators in mainland China: (a) road network density; (b) sickbeds per capita; (c) doctors per capita; (d) household deposit; (e) public fiscal revenue; and (f) mitigation level. The indicators before standardization are shown in Figure S4 of the supporting information.

Figure 6

Spatial patterns of standardized TC mitigation indicators in mainland China: (a) road network density; (b) sickbeds per capita; (c) doctors per capita; (d) household deposit; (e) public fiscal revenue; and (f) mitigation level. The indicators before standardization are shown in Figure S4 of the supporting information.

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Validation of TC risks

The TC risks estimated by the HEV-1, HEVM-1, HEV-2 and HEVM-2 formulae and TC-related economic losses and casualties are shown in Figure 7. The standardized hazard, exposure, vulnerability and mitigation are integrated into TC risk formulae, and their results are classified into five levels by the natural break method (Table S6). Overall, it can be observed that TC risks calculated by HEV-1 and HEVM-1 tend to be more concentrated and that TC risks calculated by HEV-2 and HEVM-2 are generally more dispersed. The consideration of mitigation in HEVM-1 (HEVM-2) seems to slightly change the results in HEV-1 (HEV-2). In Figure 7, the Krasovsky_1940_Albers projection coordinate system is employed to ensure the consistency of the classification level. To validate the estimated TC risks, the direct economic losses and casualties due to TCs are derived by province from the Chinese Yearbooks of Meteorological Disasters from 2004 to 2017. The validation results of TC risks are shown in Figures 8 and 9.
Figure 7

TC risks estimated by (a) HEV-1, (b) HEVM-1, (c) HEV-2 and (d) HEVM-2, and TC-related (e) direct economic losses and (f) casualties in mainland China.

Figure 7

TC risks estimated by (a) HEV-1, (b) HEVM-1, (c) HEV-2 and (d) HEVM-2, and TC-related (e) direct economic losses and (f) casualties in mainland China.

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Figure 8

Relationship between the density of direct economic losses and average risk values across 28 provinces in mainland China: (a) HEV-1, (b) HEVM-1, (c) HEV-2 and (d) HEVM-2.

Figure 8

Relationship between the density of direct economic losses and average risk values across 28 provinces in mainland China: (a) HEV-1, (b) HEVM-1, (c) HEV-2 and (d) HEVM-2.

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Figure 9

Relationship between casualties and average risk values across 28 provinces in mainland China: (a) HEV-1, (b) HEVM-1, (c) HEV-2 and (d) HEVM-2.

Figure 9

Relationship between casualties and average risk values across 28 provinces in mainland China: (a) HEV-1, (b) HEVM-1, (c) HEV-2 and (d) HEVM-2.

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The average risk values at the provincial scale are plotted against the density of direct economic losses for the four formulae in Figure 8. To better illustrate the relationship between TC risks and economic losses, a linear relationship is fitted for the two variables. The popular goodness of fit (R2) is selected to indicate the strength of the dependence relationship (Zhang et al. 2021; Huang & Zhao 2022). It can be seen that HEV-2 and HEVM-2, respectively, lead to higher R2 than HEV-1 and HEVM-1. Specifically, the R2 value is 0.40 for HEV-1 and 0.29 for HEVM-1; in the meantime, the R2 value is 0.55 for HEV-2 and 0.56 for HEVM-2. Therefore, in comparison to the multiplicative/divisive formula, the additive/subtractive formula can improve the goodness of fit between the risk value and economic loss density. Furthermore, it is noted that the comparison of R2 for HEV-2 and HEVM-2 suggests that the consideration of mitigation capacity can contribute to the goodness of fit.

The relationship between TC risk values and the density of casualties is shown in Figure 9. Similar to the results in Figure 8, the goodness of fit is the highest for HEVM-2, followed by that for HEV-2. This result confirms the effectiveness of the additive/subtractive formula and the importance of mitigation capacity. Compared to Figure 8, the goodness of fit for casualties in Figure 9 is overall lower but remains significant. This result is owing to the fact that TC casualties are caused not only directly by TCs but also by TC-related secondary disasters, including floods, landslides and debris flows (Wang & Chen 2016; Kundzewicz et al. 2018; Yin et al. 2021). It is noted that besides coastal provinces of Zhejiang, Fujian, Guangdong, Guangxi and Hainan, and inland provinces with moderate TC risk, including Jiangxi and Hunan, can also suffer from casualties.

Following TC indicators used in peer studies (Yang et al. 2016; Liu et al. 2020; Lyu et al. 2020), this paper has illustrated the spatial patterns of TC hazard, exposure, vulnerability and mitigation for TC-affected coastal and inland areas in China. The analysis is built upon the datasets of TC tracks, disaster losses, socio-economic census and surface underlying conditions. The results show that TC hazard levels tend to attenuate from the southeast coastal area to the northwest inland area owing to the landfall frequency and duration of TCs (Fang & Zhang 2021). Through the analysis of disaster losses (direct economic loss and casualties) during the period from 2004 to 2017, it is found that inland provinces, such as Yunnan, Hunan, Hubei and Henan, can also suffer from TCs (Figure 8). Although the TC frequency of these provinces is low, the extreme TC events contribute to plenty of disaster losses due to high vulnerability and low mitigation capacity (Shreve & Kelman 2014). Therefore, besides coastal provinces, attention can also be paid to inland provinces to build the capacity to cope with TC disasters (Ying et al. 2011).

The TC risks estimated by the multiplicative, multiplicative/divisive, additive and additive/subtractive formulae can serve as references for the assessment of TC risks in China. Besides the different formulae, TC risks can be calculated by using process-based models. For example, Peduzzi et al. (2012) employed ocean and climate models to forecast the future TC intensity, exposure and empirical loss functions under certain climate scenarios for TC risks of global coastal countries. Nakamura et al. (2015) projected the migration of TC tracks with an ensemble of numerical models from phase 5 of the Coupled Model Inter comparison Project (CMIP5). Miao et al. (2018) used the Inter-criteria Correlation (CRITIC) and gray relational analysis (GRA) methods to evaluate the population's vulnerability to disasters. These models account for the atmospheric processes and describe how TCs lead to the disasters of floods, landslides and debris flows (Shreve & Kelman 2014; Bakkensen et al. 2018; Sajjad et al. 2019). In the future, more efforts can be devoted to performing process-based analysis of TC hazards, exposure, vulnerability and mitigation to yield insights into TC risks.

This paper has implemented four typical formulae to assess TC risks in China based on the datasets of TC tracks, socio-economic census, disaster losses and surface underlying conditions. The indicators of hazard, exposure and vulnerability are integrated into the multiplicative formula HEV-1 and the additive formula HEV-2; the mitigation capacity is furthermore considered by the multiplicative/divisive formula HEVM-1 and the additive/subtractive formula HEVM-2. The results show that TC risks under HEV-1 and HEVM-1 tend to concentrate in large cities; by contrast, TC risks under HEV-2 and HEVM-2 are more dispersed and show an attenuating tendency from coastal areas to inland areas. For validation, disaster losses and casualties collected from the Yearbooks of Meteorological Disasters are applied to examine the estimated TC risks. The results suggest the use of the additive/subtractive formula and highlight the importance of mitigation capacity. Overall, the estimated TC risks and the spatial plots of TC hazard, exposure, vulnerability and mitigation serve as a useful tool for TC risk zoning and preparation.

This research is supported by the National Natural Science Foundation of China (U1911204, 51979295, 51861125203 and 52109046), the National Key Research and Development Program of China (2021YFC3001000) and the Guangdong Provincial Department of Science and Technology (2019ZT08G090).

All relevant data are included in the paper or its Supplementary Information.

The authors declare there is no conflict.

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