Mapping Urban Heat Vulnerability of Extreme Heat in Hangzhou via Comparing Two Approaches

Extreme heat is the leading cause of heat-related mortality around the world. Extracting heat vulnerability information from the urban complexity system is crucial for urban health studies. Using heat vulnerability index (HVI) is the most common approach for urban planners to locate the places with high vulnerability for intervention and protection. Previous studies have demonstrated that HVI can play a vital role in determining which areas are at risk of heat-related deaths. Both equal weight approach (EWA) and principal component analysis (PCA) are the conventional methods to aggregate indicators to HVI. However, seldom studies have compared the diﬀerences between these two approaches in estimating HVI. In this paper, we evaluated the HVIs in Hangzhou in 2013, employing EWA and PCA, and assessed the accuracies of these two HVIs by using heat-related deaths. Our results show that both HVI maps showed that areas with high vulnerability are located in the central area while those with low vulnerability are located in the suburban area. The comparison between HVI EWA and HVI PCA shows signiﬁcantly diﬀerent spatial distributions, which is caused by the various weight factors in EWA and PCA. The relationship between HVI EWA and heat-related deaths performs better than the relationship between HVI PCA and deaths, implying EWA could be a better method to evaluate heat vulnerability than PCA. The HVI EWA can provide a spatial distribution of heat vulnerability at intracity to direct heat adaptation and emergency capacity planning.


Introduction
e impacts of extreme heat are a public health concern [1][2][3]. Extreme heat events can cause heat stress when the human body is not able to effectively dissipate heat, and the body temperature rises [4]. In the context of global warming, extreme heat is thought to be the leading cause of weatherrelated morbidity and mortality [5][6][7]. For instance, during the 1995 heat waves in the United States, over 700 people died as a result of extreme heat in Chicago and Illinois alone [8,9]. Heat waves in the summer of 2003 killed more than 70,000 people in Europe [10]. More than 15,000 people died in heat waves in Moscow and parts of western Russia in July 2010 [11]. e adverse health impacts of extreme heat are far more than the heat waves that happened in the past. ere is growing evidence that the frequency, duration, and intensity of heat waves are likely to increase in the future [2], especially in urban areas [12]. Meanwhile, urban centers were home to over 50% of the World's population in 2010, and approximately 60% of the projected global population of 8.2 billion will live in cities by 2030 [13,14]. Increasing population accompanied by an intense thermal environment implies more intracity areas could be vulnerable to heatrelated health risks [7,15].
So far, growing concerns for the health of current and future populations have motivated scholars and policymakers to assess the heat-health risks and develop relevant mitigation and adaptation strategies [16,17]. Previous studies on mapping urban vulnerability have established a heat-related study framework [18,19], explored the urban heat island (UHI)-mortality associations [7,15,20], identified vulnerable subgroups [9,21,22], and mapped heat vulnerability risks [23][24][25][26]. Different scientific communities apply different definitions for connecting an adverse effect with risks [27]. One simple tool is to use heat vulnerability index, which can aggregate many heat vulnerability indicators into a single score to represent the place with high heat risks. Considering the different methods to aggregate heat vulnerability, previous studies can be divided into two groups. In the first group, the weights of indicator are subjectively assigned (e.g., the weights of indicators are equal) [23,28,29]. In the second group, the weights of indicators are objectively assigned based on the statistical analysis [30][31][32]. Principal component analysis (PCA) is the most common method in relative studies.
ere is a study focusing on the comparison of two methods [33]. However, the lack of corresponding validation data prevents us from knowing which method is more appropriate.
Furthermore, most studies mainly focused on major cities in developed countries, such as Chicago [7], Toronto [25], Birmingham and [19], Rennes [18]. Besides, heathealth risk assessments at the regional scale also have been conducted, such as the Washington Metropolitan Area [28], Georgia [16], and South Quebec [26]. While the cause and progression of the heat risk in individual cities or regions are relatively well understood, many important questions remain concerning how the risk distributes and how to mitigate in the intracity [27]. Meanwhile, the distribution of heat-health risk in developing countries is rarely well-known [29]. A few relevant studies in China barely estimated health risk at the province or municipality scale disregarding urban versus rural environments [29,34,35] although part of the risk study in Beijing has mentioned comparison of the borderland area and urban area [35].
e relative previous UHI studies in the city of Hangzhou can be categorized into three groups according to their contents. In the first group, studies have focused on the assessment of UHI intensity and spatiotemporal pattern of UHI with a high level of detail, which have shown that the urban core has the higher UHI intensity while the suburb area has the lower UHI intensity [36,37]. In the second group, cross-sectional studies have attempted to understand the relationship between the UHI and land cover patterns [38], land use type [39], and urban structure [40]. In the third group, simulation models, such as weather research and forecasting (WRF) and ENVI-met, have been utilized to predict and mitigate the future UHI intensity [41,42]. However, there is a seldom study about the impacts of UHI on human health in Hangzhou, which has been proved that UHI is responsible for adverse human health in Shanghai [43]. One can argue that the studies examining UHI distribution are similar to the studies of investigating heat vulnerability. However, the lack of socioeconomic components in most UHI studies hinders further research on heat vulnerability since UHI only represents the heat hazard, and socioeconomic components represent the ability to cope with the heat hazard [15,18]. It is thought that incorporating the UHI with socioeconomic components may yield a more robust heat vulnerability than the socioeconomic components alone [44]. erefore, mapping health risk distribution at intracity fosters the understanding of factors causing heat vulnerability and provides insights into urban vulnerability mitigation and management. Taking Hangzhou intracity area as an example, this study aimed to explore that (1) what is the spatial pattern of LST in Hangzhou, China? (2) what are the spatial patterns of HVIs using two different methods? Also, (3) which method can better be used to evaluate the heat vulnerability? e remainder of this paper is as follows: in Section 2, we illustrate the study area, data sources, and methods. e results are presented in Section 3, followed by discussion (Section 4) and conclusions (Section 5).

Study Area.
Hangzhou, the capital of Zhejiang Province, is located in the Yangtze Delta of east China ( Figure 1). Hangzhou has an area of 3068 km 2 and a population of 8.89 million in 2014. It has experienced rapid urban expansion and population growth in recent years, with an urban population ratio of 62.1% in 2005 and 70.0% in 2010 [45,46]. Hangzhou's climate is a typical subtropical monsoon climate with hot and humid summers: the mean daily temperature in the summer ranged from 24.3°C to 28.4°C between 1971 and 2000 (http://www.weather.com.cn/). As one of China's emerging "four ovens," Hangzhou experienced an extremely hot summer during the 2013 heatwave, which includes a total of 47 days with a maximum temperature above 35°C. Besides, the threat of extreme heat events is likely to increase due to the combined effects of global warming and rapid urbanization in the future.
Based on our goals, the study area focused on the intracity composes of six central districts ( Figure 1). We selected the subdistrict as the analytical unit, which is the smallest territorial unit defined to take a population census and the smallest administrative division. erefore, subdistrict is the level at which most of the local urban planning and management decisions are designed and implemented. It is appropriate to use the subdistrict as the spatial unit to characterize the health risk. A total of 49 subdistricts were selected ( Figure 1). e size of selected subdistricts ranged from 1.11 to 74.66 km 2 , with the mean and standard deviation of 13.39 and 17.75 km 2 .

Data Sources
(1) Satellite Data. Conventional LST calculations require software installation (e.g., ENVI and ERDAS) and raw satellite data downloads, which could be extremely timeconsuming [47][48][49]. Google Earth Engine (GEE) provides an online platform with access to a vast catalog of satellite imagery and planetary-scale analysis capabilities; it is now possible to acquire satellite data information that does not require any preprocessing or installation of software [49]. e main source of data in this study concerns Landsat 8 acquisitions, provided by the United States Geological Survey (USGS) and included in the GEE data catalog, which is the same as previous studies [50,51]. Landsat 8 surface reflectance products (GEE product ID: LANDSAT/LC8/ C01/T1_SR) from June to August 2013 that covers Hangzhou were used in this study (Table 1). Although the spatial resolution of the thermal infrared band of Landsat 8 is 100 m, all the products are resampled by the USGS to 30 m by using a cubic convolution resampling method [49].
(2) Demographic and Socioeconomic Data. Total population, the population of the elderly (aged 65+) at the subdistrict level (49 units in total), the population of the elderly that live alone over 60, the population less than high school education, unhealthy population over 60 (unhealthy seniors), and illiteracy population over 15 at the subdistrict level were collected from China's Sixth (2010) National Census (http:// www.stats.gov.cn/). Disposable income data were obtained from the Hangzhou Bureau of Statistics (Hangzhou Statistical Yearbook 2014).
(3) Cooling Facilities Data. Public access to cooling facilities (e.g., supermarkets, shopping plazas, and libraries) could provide emergency cooling shelters to neighboring residents without affordable air conditioning [25]. Locations of these facilities were derived from Hangzhou's essential geographic elements in the Baidu Map Database (http://www.baidu. com/).

(4) Green Space Data.
According to the previous studies, green space can provide a mitigation effect of the heat environment [24,52]. Lack of green space can be used as a higher heat exposure risk. Deciduous forest, evergreen forest, mixed forest, shrub, grassland, parks, and wetlands were collected as the green space from Hangzhou Land Cover Database in 2013. e reciprocal of the proportion of green space in each subdistrict was defined as the lack of green space to satisfy the larger numbers implying a higher vulnerability.
(5) Heat-Related Death Data. An epidemiological study revealed that extreme heat events were closely associated with increased morbidity or mortality, such as cardiovascular and respiratory mortality [53]. Mainly, the data of heat-related morbidity or mortality are used to represent the health risk [54]. In this study, we used the death data to validate our heat risk assessment, which reported for urban areas in Hangzhou during the 2013 summer (June-August), provided by Zhejiang Centre for Disease Control and Prevention. In specific, we considered deaths combined deaths, under the International Classification of Diseases (ICD), caused by cardiovascular diseases (ICD-10 codes, I00-I99), respiratory diseases (ICD10, J00-J99), heat stroke (ICD10, X30), dehydration (ICD10, E86), and hyperpyrexia (ICD10, R50.9) were related to heatwaves [34]. A total of 1064 heat-related deaths were recorded for all 49 subdistricts in 2013 summer.

Data Preprocessing and Normalization.
Heat vulnerability refers to the propensity to be adversely affected and generally defined by the person or group characteristics and the socioeconomic statuses that influence the ability to anticipate, resist, and recover from extreme heat events [28,29]. An increasing number of studies have demonstrated multidimensional vulnerability assessment indicators, and the most prevalent indicators of vulnerability include age, social isolation, and economic level, cooling shelters [28,34,44] (Table 2). Based on these previous studies and our study area, we considered the vulnerability dimensions.
(1) Age and Health Status. Age is an essential factor for vulnerability as the elderly and unhealthy seniors tend to be inherently more susceptible to heat exposure and have a higher mortality and hospital admission rates than the general population [55]. We derived the number of seniors (65+) and unhealthy seniors (60+) from 2010 census data.
(2) Social Isolation. Seniors especially have been identified as another significant factor during heat waves and excessive heat events in general [55]. Living alone, possibly resulting in fewer contacts with family and friends, is a significant indicator of increased vulnerability. We used the number of population aged above 60 living alone from the 2010 census to represent the social isolation degree.
(3) Low-Educated Members. Low-educated members are likely to be more vulnerable to heat stress than high-educated ones [23], as they might not fully understand the relationship between changes in their living environment, as well as receiving the heat risk warning information. Previous studies have pointed out that individuals with an education level below high school tended to have higher heat-related death rates in U.S. cities [22,56]. We used the number of illiteracy population (15+) and population lower than high school education to represent low-educated members.
(4) Economic Factors. Economic factors play a crucial role in affecting an individual's vulnerability to heat hazards [23]. e poor are most likely to experience the highest risk because they often suffer from inadequate air conditioning [57]. Since there is no air conditioning data at the subdistrict level in Hangzhou, the economic factors can replace the air conditioning data to some extent. Disposable income was the chosen indicator to represent the economic status.
(5) Cooling Facilities. In addition to citizens' physical and economic status, cold places where the public can access air conditioning, such as supermarkets, shopping plazas, libraries, and bookstores, can also provide protective cooling shelters during extreme heat events [25]. We collected the number of cooling facilities in each subdistrict to represent the ability of external resistance from the public territory.
(6) Environment Exposure. LST is the most common indicator to represent the heat exposure. Meanwhile, the lack of green space represents the possibility of preventing heat exposure. e increasing number of age, social isolation, and loweducated members stand for an increasing vulnerability, while the increasing number of disposable income and cooling facilities have an opposite direction on vulnerability. We used positive and negative normalization to normalize these five values to 0 and 1, with 1 representing the highest level of vulnerability to heat hazards. Furthermore, we assumed that the importance of all these five indicators are the same and weight them equally. All indicators were aggregated and normalized to heat vulnerability index (HVI) with a range between 0 and 1 again, with 1 representing the highest level of heat vulnerability.

LST Retrieval.
Previous studies usually used groundbased air temperature taken from standard meteorological stations [27,34]. However, there are insufficient stations located in intracity which cannot estimate the air temperature gradient [18]. erefore, remote sensing satellites are increasingly used to assess the heat hazard LST [7,19,25]. Using GEE, a relatively new platform with massive available satellite data and strong computation ability, we chose Landsat 8 surface reflectance tier 1 dataset to calculate the average LST between June and August in 2013. is dataset is the atmospherically corrected surface reflectance from the Landsat 8 OLI/TIRS sensors. Two thermal infrared (TIR) bands were processed for orthorectified brightness temperature, and other bands were processed for orthorectified surface reflectance [58]. Cloud, cloud shadow, and snow cover were detected and excluded from the images by using pixel quality band derived from the CFMASK algorithm (https://code.earthengine.google.com/). e LST based on satellite brightness temperature and emissivity was computed by the following equation [58]: where LST is the land surface temperature in K, T sensor is the Band 10 brightness temperature in K, λ is the wavelength of For ε, it was necessary to correct the spectral emissivity using the NDVI value: Water (NDVI < 0) was assigned a value of 0.9925, urban impervious areas and bare soil (0 ≤ NDVI < 0.15) were assigned a value of 0.923, and vegetation (NDVI > 0.727) was assigned a value of 0.986 [59]. Otherwise, there was a modeling relationship with the NDVI values through the log-transform equation [60].
In order to acquire surface emissivity, we calculated NDVI using the following formulas: where NIR is the reflectance in the near-infrared waveband (Band 5 for Landsat 8) and RED is the reflectance of visiblered waveband (Band 4 for Landsat 8).
Finally, the zonal statistics tool in ArcGIS was used to calculate the mean value of LST for each subdistrict.

Equal Weight Approach (EWA) and
Principal Component Analysis (PCA). After the processing of indicators in Section 2.3.2, we assumed all nine indicators had the same influence on the heat vulnerability, and we added these indicators with equal weights to get the final vulnerability (HVI EWA ).
PCA was usually employed in heat vulnerability studies to reduce the number of indicators [61]. e varimax rotation was used in PCA to ensure orthogonality between the reduced indicators, which could enhance the ability to covert correlated indicators to linearly uncorrelated components. We conducted all the PCA method in IBM SPSS 20.0. Since increasing variables indicate an increase in heat vulnerability, higher component scores also imply a higher heat vulnerability (HVI PCA ).
To better compare the HVI generated from these two methods, the mean-standard deviation classification method was used to assign the HVI degree (Table 3).

Validation Method.
Previous studies of vulnerability assessment were often validated by the qualitative method [33,62], which might not provide the same reliability as quantitative validation. In this study, regression analysis had been used to establish the relationship between the total heat-related deaths and HVI EWA and HVI PCA , respectively.

LST Distribution.
e mean LST values at the pixel level show that Hangzhou was experiencing high surface temperature from June to August in 2013 (Figure 2(a)). Under the heatwave background, the LST value ranges from 291.6 to 318.7 K. Large scattered warming area exists in the central and northeast of the city; it is worth noting that this high LST are mainly distributed in the highly urbanized areas of Hangzhou. We combined these areas with Google Earth and recognized that the high LST is mostly distributed in three typical areas: (1) high-density old residences, (2) villages in urban and suburban areas, and (3) industrial zones which relieve heat energy forcing the air temperature (e.g., anthropic thermal and industrial thermal). However, the low LST is mainly located in the natural landscape, such as rivers, lakes, parks, and forests.
After the zonal statistics and normalization, the HHI values were categorized into five classes from 0 to 1 using the natural breaks method (Figure 2(b)). Overall, the LST patterns show a gradient decreasing trend from urban centers to suburban areas. At the subdistrict level, significant spatial heterogeneity in LST distribution patterns can be identified. Subdistricts with highest LST (0.87-1.00) were mainly observed in the city center, including Caihe, Changqing, Cuiyuan, Pengbu, Shiqiao, Tianshui, Wangjiang, Wulin, Xixing, Xiaoying, and Zhanongkou, where population density is pretty high, and vegetation coverage is small among all 49 subdistricts. e lowest LST values (0.00-0.40) can be found in the Xihu district in the southwest.

Spatial Distribution of Heat Vulnerability Using EWA.
We visualized the spatial patterns of these nine indicators and the HVI using the same weight combination method ( Figure 3). Indicators such as the number of elderly, the number of elderly living alone, unhealthy seniors, and LST show that high values in the urban center and low values in the surrounding area. ese results indicate that the elder tends to live in the urban center. In contrast, the number of illiteracy and the population less than high school education show the gradient increasing trend from the urban center to the periphery of the study area. Variables such as income, cooling facilities, and lack of green space have a strong spatial heterogeneity distribution but do not show a clear spatial distribution rule. After combining these nine variables using an equal weight method, the HVI values in Table 3 had been assigned to HVI EWA (Figure 4). In general, the spatial distribution of heat vulnerability shows that the areas with the higher heat vulnerability are concentrated in the urban center, while the areas with the lower heat vulnerability are located in the surrounding suburban area. e differences between Figures 4(a) and 4(b) are caused by different classification methods. Figure 4(a) shows the spatial pattern of HVI EWA using the natural breakpoint method into five levels, while Figure 4(b) exhibits the spatial pattern of HVI EWA using the mean-standard deviation method (Table 3). Using the mean-standard deviation method, we found a total of five subdistricts, including Xiaoying, Ziyang, Wangjiang, Dongxin, and Caihe, show the HVI value of 3, which indicates that these subdistricts have the relatively highest vulnerability to heat exposure. Subdistricts with the lowest HVI value are mainly located in the east and north, for example, Linyin, Liuxia, Jiangcun, Xihu, Beishan, and Dingqiao.

Spatial Distribution of Heat Vulnerability Using PCA.
e PCA method grouped the nine vulnerability indicators into three independent components (Table 4). e cumulative contribution of the three components is 81.784%, which means that 81.784% variance of raw vulnerability indicators can be explained by these three independent components. e first component explains 42.005% of the total variance, followed by 21.886% and 17.893% for the second and the third components, respectively. e first component includes education less than high school, income, unhealthy seniors, elderly living alone, and illiteracy. e second component can be characterized by the elderly population and cooling facilities. Component 3 can be characterized by the lack of green space and LST (Table 5). e spatial pattern of each component is shown in Figure 5. e subdistricts with the highest HVI value are found in the urban center and the northwest and northeast 8 Complexity part of the study area, which means that the dominant indicators of Component 1 have a relatively higher value in those regions ( Figure 5(a)). e subdistricts with lower HVI values mainly surrounded the West Lake encircling the inner city and the north of the suburban area. e dominant indicators of Component 2 are elderly people and cooling facilities. It can be seen that the subdistricts with the highest HVI value of Component 2 are mainly located in the urban center, which indicated that those regions had a relatively high number of elderly or the number of cooling facilities was relative low (Figure 5(b)). Lack of green space and LST are the dominant indicators of Component 3. It can be seen that there is no highest HVI value in the spatial distribution of Component 3 ( Figure 5(c)). Unlike the other two components, the spatial pattern of Component 3 shows an obvious aggregation characteristic with a higher HVI value located in the northeast and the lowest HVI value concentrated in the southwest.
After aggregating three components into the final HVI through different weight factors, the spatial distribution of HVI PCA can be found in Figure 5(d). In general, the pattern of HVI PCA shows that subdistricts with higher HVI values are located in the urban center, while those with lower HVI values are located in the suburban area. Subdistricts with the highest vulnerability can be found in Xiaoying, Ziyang, Wangjiang, Pengbu, Sandu, Puyan, and Dongxin. Subdistricts with the lowest HVI value can be found in Liuxia, Dingqiao, Linyin, Jiangcun, Xihu, and Beishan. PCA . We compared the different level degrees between HVI EWA and HVI PCA (HVI EWA minus HVI PCA ) ( Figure 6). e white regions represent that the HVI level in two methods remains the same. It can be seen that the HVI level of 26 subdistricts keeps constant, where most of them are mainly located in the urban center and southwest of the study area. Comparing to the HVI EWA , the HVI of PCA method tended to underestimate the heat vulnerability of the urban center, while tended to overestimate the heat vulnerability of the suburban area in the northeast and northwest of the study area.

Comparison between HVI EWA and HVI
To compare the accuracy of these two HVI results, we built the relationship between the total heat-related death and HVI EWA and HVI PCA , respectively (Figure 7). In the current study, we collected heat-related deaths at the subdistrict level (n � 49) to assess the reliability of HVI EWA and HVI PCA . Linear regression was used to predict heat-related deaths using the HVI EWA and HVI PCA as the independent variable. e result suggests that the HVI EWA shows a greater correlation with the heat-related deaths with an R 2 of 0.58 than HVI PCA with an R 2 of 0.32.

Spatial Distribution of LST in Hangzhou.
Previous studies have shown that high-temperature zones are usually located in the impervious surface such as residential areas and industrial areas, which are mainly caused by the  characteristics of the underlying surface and the anthropogenic heat emission from human metabolism and industrial production and residential life [52,63,64]. e impervious surface of artificial land commonly has a low albedo, which will absorb more heat and lead to a higher surface temperature [65,66]. Meanwhile, the anthropogenic heat derived from human activities, including building energy consumption, transportation, industrial heat emission, and human metabolism, is another heat source for the population or industry cluster zones [67,68]. Both the characteristics of impervious surface and human activities cause the high LST distributes in the above area. For the low LST distribution, latent heat flux plays a crucial role in keeping the temperature at a cooling level [63]. On the one hand, water and vegetation have a lower heat absorption due to its relatively high thermal inertia [64]. On the other hand, evaporation of water and evapotranspiration of vegetation will bring out the heat, which will cause the lower surface temperature [66]. e spatial pattern of LST in our study is consistent with previous studies in Hangzhou, which exhibited that high land surface temperature exists in the central and northeast city, while low temperature areas are observed in southwest [36,69,70]. is similar situation has occurred in other relative studies, not just Hangzhou. Studies using LST or air temperature exhibited higher values located in the central area as well [18,19,34].

Complexity
One of the significant differences of LST between our study and previous studies is that previous studies usually select one remotely sensed image to represent the heat distribution [18,19,44]. However, our study calculates the average thermal image of the summer using GEE. e strong cloud calculation function and massive Landsat images in the GEE platform provide us with an excellent opportunity to extract average LST spatial patterns. Compared to the GEE, conventional methods to retrieve LST require highperformance computer hardware and satellite images download [49,70]. Moreover, the LST based on single scene data would be confined to a specific day, which cannot represent the general spatiotemporal heat hazard environment [36]. A recent study showed that using GEE to obtain LST in Hangzhou could avoid image quality and present better general features of urban heat island when compared to the conventional method [36,49]. As more functions and satellite datasets are integrated into the GEE platform, the extraction of remote sensing information via GEE is becoming more and more popular, which is beneficial for the heat hazard estimation.

Spatial Distribution of Heat Vulnerability of Hangzhou.
Previous studies using the meta-analysis approach have explored that the urban vulnerability is related to many factors, such as temperature level, population, age, gender, education, income, access to home amenities, or public cooling facilities [14,25]. By considering the local characters, we selected nine variables to build HVI using an equal weight approach (EWA) and principal component analysis (PCA). Although two vulnerability results exhibit a certain degree of difference, they both demonstrate that the central area might be more vulnerable to oppressive heat than outlying parts. By contrast, intriguing but conflicting results exist in previous research about who exactly the most vulnerable to extreme heat is. Some studies have demonstrated that downtown areas are more vulnerable than outlying areas [24,28,71,72], while others have indicated that rural residents are more susceptible [73]. ere may exist multiple possible explanations for our outcome. e high number of elderly people and elderly people living alone is concentrated in the downtown area. Meanwhile, the number of cooling facilities in outlying parts was observed to be larger than the central area. Also, our result is consistent with the previous study, which showed that vulnerability increased in warmer neighborhoods which tended to be located in the inner city [24].

Reasons of Differences between HVI EWA and HVI PCA .
Our results show the substantial differences of heat vulnerability using EWA and PCA. e HVI PCA had less success in explaining the total heat-related deaths, with a low correlation between models. Furthermore, HVI EWA performed a much better correlation with the number of death accompanying higher R 2 . is difference is mainly caused by the different weight factors being used in our study. In the process of the PCA method, the linear combination of several indicators to explain the most variation of variables will reduce the dimensionality of the data.
is linear combination usually involves the different weights of aimed indicators [33]. Besides, if several indicators representing a similar aspect increases, the indicators of this aspect will be inevitably magnified [33]. In our case, the elderly (60+) living alone and unhealthy seniors both belong to Component 1, which will increase the weight of the elderly population. In the equal weight approach, the selected indicators were assumed to indicate the different aspects of vulnerability, and the weight of each indicator remains the same.
erefore, the PCA method may confound several significant information on heat vulnerability to inform planning response, which means reducing multiple indicators into fewer dimensions could cause an impact on the result of vulnerability.

Potential Strategies to Mitigate the High Heat
Vulnerability. Although the results from HVI EWA and HVI PCA are different, there are commonalities that four districts, including Xiaoying, Ziyang, Wangjiang, and Dongxin, have the highest HVI scores (HVI value 3) in both situations. However, the dominant vulnerability components of these four subdistricts are various. For instance, Xiaoying has the highest number of age 65+, the high number of the elder living alone, high LST, few cooling facilities, and few green coverages. Ziyang has a high number of the elder living alone, a high number of unhealthy seniors, and a high number of the elder living alone. Wangjiang has the highest number of the elder living alone, the highest number of unhealthy seniors, and the highest LST. Dongxin has a high number of the elder living alone and high LST.
Although the dominant components of each subdistrict with high HVI are different, they can be roughly divided into three types: high surface temperature, lots of elderly, and lack of cooling places. It can be seen that three of these four subdistricts have a high LST problem. eoretically, the more divided and complex shape of the built-up area can provide a more reduction of UHI intensity if the total builtup areas are held constant [52]. However, it must be significantly difficult to alter the spatial structure of the built-up area in reality, not to mention that these three subdistricts are located in the center area. Meanwhile, planting vegetation in the urbanized area seems to be a great choice since it can both increase the division of the built-up area and provide an extracooling effect [52,64,74]. Besides, more vegetation will also provide temporary green shelter for people outdoors.
For the subdistricts with many elderly people, community workers should firstly take measures to reduce social isolation and loneliness. e elderly people are limited by problems such as limited mobility, slow knowledge reception, and death of relatives, which would cause social isolation and loneliness and many elderly people die in extreme heat events [1,10]. erefore, necessary services, such as housing adaptation, telephones, and alarms, should be provided by local community authorities to the elderly. In addition, medicines and foods for preventing heat stroke should be delivered to those in need, especially people with potential diseases. Finally, community workers should announce the dangers of heat vulnerability to improve the selfprotection awareness of the elderly.
For the subdistricts lacking cooling facilities, the local government should call for more cooling facilities to open for the vulnerable people. Meanwhile, it can provide certain subsidies for the elderly to purchase the cooling equipment to reduce their heat vulnerability. Mitigating heat vulnerability is not a simple matter, which requires the top-down multiparticipation and specific mitigation strategies for specific areas.

Limitations of is Study.
ere are several limitations associated with our study. First, some potentially relative data, such as the number of air condition and building characteristics, are not included in this study, which could cause some uncertainties of HVI prediction results. e correlation between the heat-related death and assessed HVI is not very high, which also demonstrates that the existing data cannot fully reflect the actual distribution of HVI. In the future, the effective collection and application of multisource data will further improve the accuracy of HVI assessment.
Secondly, although this study has shown that the HVI using the EWA method has a higher correlation with heatrelated death than HVI using PCA, it does not indicate that EWA is the most suitable method to assess HVI. It is recognized in this study that the component of the elderly (age 65+) has a high correlation with heat-related death, and the degree of lack of green space can act as a predictor for the LST. As a result, this EWA method can impact the accuracy of HVI assessment. In the future, multicriteria methods should be used to improve the HVI analysis.
irdly, this study only focuses on one year of HVI. Analyzing the HVI in different years and predicting the temporal trend would allow the HVI assessment to be more reliable.

Conclusions
is study assessed the heat vulnerability at the subdistrict level in the urban area of Hangzhou using an equal weight approach (EWA) and principal component analysis (PCA). Firstly, we employed a novel approach for retrieval of mean land surface temperature (LST) (June-August 2013) from the Google Earth Engine (GEE) platform as one indicator of heat vulnerability to avoid the cloud-contaminated data problem. Secondly, we collected demographic data, essential geographic data, and socioeconomic data. irdly, we built the two different HVI based on EWA and PCA, respectively. Finally, we applied heat-related death data to compare the accuracy of HVI EWA and HVI PCA .
In particular, we reached the following conclusions: (1) both HVI EWA and HVI PCA show that the high vulnerability of intracity in Hangzhou located in the urban core area, with a decreasing trend from the inner city center to the edge of Hangzhou. (2) e comparison between HVI EWA and HVI PCA shows HVI PCA underestimates the heat vulnerability of the urban center, while tended to overestimate the heat vulnerability of the suburban area. (3) e significant correlation between HVI EWA and heat-related deaths performs better than the correlation between HVI PCA and heatrelated death, which implies that EWA could be a better approach to vulnerability estimation. (4) To reduce the heat vulnerability, for example, subdistricts with high heat vulnerability can concentrate on the ways to provide cooling facilities for the economically vulnerable people, or the administers can offer special care for seniors, especially for the old with social isolation.
Comparing two simple approaches at the smallest administrative unit in China provide valuable decision support in directing heat vulnerability mitigation. On a subdistrict level, mapping heat vulnerability can be accurate, and heat vulnerability mitigation plans and emergency management can target efforts even more effectively. Future research is needed to identify heat risk in multiple years and assess the changing trend, which could provide more reliable heat vulnerability maps for heat vulnerability warning systems and heat vulnerability mitigation.

Data Availability
Data for this work are available from the corresponding author upon request.

Conflicts of Interest
e authors declare that there are no conflicts of interest regarding the publication of this paper.