A Generalized Framework for Assessing Flood Risk and Suitable Strategies under Various Vulnerability and Adaptation Scenarios: A Case Study for Residents of Kyoto City in Japan

This study proposes a generalized framework for the assessment of flood risk and potential strategies to mitigate flood under various vulnerability and adaptation scenarios. The possible causes of hazard, exposure and vulnerability in flood disaster were clearly identified by using a climate risk template. Then, levels of exposure and vulnerability with adaptive capacity and sensitivity were further defined by a quantification approach, and the climate risk maps were consequently provided. The potential possible climate adaptation strategies were investigated through the comparison of climate risk maps with diverse adaptation options. The framework was demonstrated in the Kyoto City in Japan with residents as a target population to reduce the flood risk. The results indicate that the government should pay attention to reducing the population in flood-prone areas and adopt diverse adaptation strategies to reduce the flood risk to the residents. Rainwater storage and green roofs as adaptation strategies as short-term planning options are recommended. The construction of detention ponds has been suggested to prevent flood risks in future as a part of the long-term planning process. In conclusion, the proposed framework is expected to be a suitable tool for supporting climate risk analysis in the context of flood disasters.


Introduction
Flooding is one of the most frequently mentioned impacts of climate change and is also the natural disaster with the most significant economic influence in the world (e.g., [1][2][3][4][5]). Flood risk in metropolises is increased by urban development due to changes in hydrological conditions [6]. Because of the increasing urban concentration, the exposure and vulnerability of cities are increasing, ultimately resulting in higher flood risk. In recent years, climate adaptation strategies in developing countries have not only been paid attention but have also provided useful information for decision the different scenarios of inundation extents. The future exposure and vulnerability were assumed to be the same as the current ones, even though the actual situation of current and future exposure and vulnerability should be different. Therefore, the justification prompts us to develop a generalized framework integrating an applicable approach of quantitative analysis based on the application of the climate risk template under various vulnerability and adaptation scenarios to thoroughly analyze the possible causes in flood disaster and adaptive strategies. The objective of this study is to assess climate risk in flood disasters under various vulnerability and potential climate adaptation strategies. To reach this objective, the generalized framework considering a core concept of climate risk and presenting spatial-temporal relationship of climate risk by the quantified analysis and result visualization is proposed. An application of a case study for residents in Kyoto City, Japan was successfully carried out to explore the effect of the adaptation strategies on reducing climate risk. Various potential climate adaptation strategies were clearly defined by the climate risk maps. In addition, the climate risk maps with possible situations of exposure and vulnerability for different periods were established and mutually compared to present the severe extent of climate risk. The results of the potential adaptation strategies for a metropolitan city were properly discussed as well.

Location of the Study Area
Kyoto City, the capital city of Kyoto Prefecture with eleven wards in Japan and a major tourist destination, is applied as the study area in this paper because of the important cultural assets. Numerous Buddhist temples, Shinto shrines, tourist palaces and gardens, most of which are listed collectively by United Nations Educational, Scientific and Cultural Organization (UNESCO) as World Heritage Sites, are located in Kyoto City. In addition, Kyoto City is a center of higher learning, with Kyoto University being an internationally renowned institution. The location of Kyoto City and its rivers is shown in Figure 1. Figure 2 presents the land use map of Kyoto City. As shown in Figure 2, most of various types of buildings are located near the south of Kyoto City, such as Kamigyo, Nakagyo, and Shimogyo Ward. The categories and definition of land use data are listed in Table 1, representing the detailed difference of the definition of land use data (e.g., high-layer buildings, low-layer buildings, and so forth).
Water 2020, 12, x FOR PEER REVIEW 3 of 23 future exposure and vulnerability were assumed to be the same as the current ones, even though the actual situation of current and future exposure and vulnerability should be different. Therefore, the justification prompts us to develop a generalized framework integrating an applicable approach of quantitative analysis based on the application of the climate risk template under various vulnerability and adaptation scenarios to thoroughly analyze the possible causes in flood disaster and adaptive strategies. The objective of this study is to assess climate risk in flood disasters under various vulnerability and potential climate adaptation strategies. To reach this objective, the generalized framework considering a core concept of climate risk and presenting spatial-temporal relationship of climate risk by the quantified analysis and result visualization is proposed. An application of a case study for residents in Kyoto City, Japan was successfully carried out to explore the effect of the adaptation strategies on reducing climate risk. Various potential climate adaptation strategies were clearly defined by the climate risk maps. In addition, the climate risk maps with possible situations of exposure and vulnerability for different periods were established and mutually compared to present the severe extent of climate risk. The results of the potential adaptation strategies for a metropolitan city were properly discussed as well.

Location of the Study Area
Kyoto City, the capital city of Kyoto Prefecture with eleven wards in Japan and a major tourist destination, is applied as the study area in this paper because of the important cultural assets. Numerous Buddhist temples, Shinto shrines, tourist palaces and gardens, most of which are listed collectively by United Nations Educational, Scientific and Cultural Organization (UNESCO) as World Heritage Sites, are located in Kyoto City. In addition, Kyoto City is a center of higher learning, with Kyoto University being an internationally renowned institution. The location of Kyoto City and its rivers is shown in Figure 1. Figure 2 presents the land use map of Kyoto City. As shown in Figure  2, most of various types of buildings are located near the south of Kyoto City, such as Kamigyo, Nakagyo, and Shimogyo Ward. The categories and definition of land use data are listed in Table 1, representing the detailed difference of the definition of land use data (e.g., high-layer buildings, lowlayer buildings, and so forth).     The Yodo River basin (7280 km 2 ) consists of three tributary river basins, including Katsura, Uji, and Kizu River basins. After the confluence of Katsura River, Kizu River, and Uji River, Yodo River starts near the southern side of Kyoto City, and it flows into the Osaka Bay. The average annual rainfall in the Katsura River and the Kizu River basins is approximately 1640 and 1590 mm, respectively. The average annual rainfall in the Yodo River was about 1387.8 mm between 1976 and 2000. The Kamo River basin (KRB) (210 km 2 ), situated at Kyoto city, is a sub-basin of the Katsura River basin in Yodo River Basin. Flood prevention activities at the KRB have already been paid attention to by the Japanese government because the KRB usually floods during heavy precipitation and typhoons.
From 15 to 16 September 2013, Kyoto City experienced extreme rainfall during Typhoon No. 18. During the first 6 h at the beginning of the event, water levels reached threatening flood situations in Katsura River and Uji River. The Arashiyama area near the Katsura River was also flooded. It should be realized that the analysis of rainfall conditions which might cause higher peak discharge and the influence of land-use change which might lead to more severe flood disasters is relatively crucial for flood prevention. Therefore, Kyoto City, situated near the basins in Japan, is adopted as the study area in this paper.

Database of Hazard Map
The river flooding hazard map can be downloaded from the open data website, National Land Numerical Information Download Service (NLNIDS) sponsored by National Land Information Division, National Spatial Planning and Regional Policy Bureau, Ministry of Land, Infrastructure, Transport and Tourism (MLIT) of Japan. The hypothetical potential river flooding situation specified by the national or prefectural river manager or rivers with known water levels was provided from the NLNIDS website, as shown in Figure 3. According to different ranges of inundation depths, the hazard levels were defined, and their definitions and reasonable descriptions are presented in Table 2. As shown in Figure 3, the flood inundation occurred in the upstream region of Katsura River, and apparently in the downstream regions of Katsura River, Kamo River, Uji River, and Kizu River, especially in Fushimi and Minami wards with hazard levels 4 or 5. Secondly, most of the areas in Yamashina, Kamigyo, Nakagyo, and Shimogyo wards have hazard levels 1 and 2, yet some areas in those wards have hazard level 3. It should be noticed that most of the aforementioned regions have a relatively high population density.  18. During the first 6 h at the beginning of the event, water levels reached threatening flood situations in Katsura River and Uji River. The Arashiyama area near the Katsura River was also flooded. It should be realized that the analysis of rainfall conditions which might cause higher peak discharge and the influence of land-use change which might lead to more severe flood disasters is relatively crucial for flood prevention. Therefore, Kyoto City, situated near the basins in Japan, is adopted as the study area in this paper.

Database of Hazard Map
The river flooding hazard map can be downloaded from the open data website, National Land Numerical Information Download Service (NLNIDS) sponsored by National Land Information Division, National Spatial Planning and Regional Policy Bureau, Ministry of Land, Infrastructure, Transport and Tourism (MLIT) of Japan. The hypothetical potential river flooding situation specified by the national or prefectural river manager or rivers with known water levels was provided from the NLNIDS website, as shown in Figure 3. According to different ranges of inundation depths, the hazard levels were defined, and their definitions and reasonable descriptions are presented in Table  2. As shown in Figure 3, the flood inundation occurred in the upstream region of Katsura River, and apparently in the downstream regions of Katsura River, Kamo River, Uji River, and Kizu River, especially in Fushimi and Minami wards with hazard levels 4 or 5. Secondly, most of the areas in Yamashina, Kamigyo, Nakagyo, and Shimogyo wards have hazard levels 1 and 2, yet some areas in those wards have hazard level 3. It should be noticed that most of the aforementioned regions have a relatively high population density.

Range of Inundation Depth (m) Description Hazard Level
0~0.5 The inundation depth below 0.3 m is around the knee height of children. The depth between 0.3~0.5 m reaches around the knee height of an adult and half of the wheels (or the height of car chassis). It is difficult to move.
1 0.5~1 The inundation depth reaches the waist height of an adult, and vehicles are unable to move. 2

1~2
The depth below 2 m might reach above the chest height of an adult, and it would be risk of being submerged on the first floor of a building as the depth of 2 m. People must evacuate to floors above second floor.

2~3
The second floor might be inundated by the inundation depth. 4 3~The inundation depth can reach above the second floor. 5

Demographics for Exposure
The historical data of population density in 2015 were collected from the product of the annual national population survey, Esri Japan Data Content. Compared to the primary indicators, more detailed statistical indicators such as marital status and foreign population were included in the product. Statistical analysis can be performed immediately with ArcGIS because the polygons such as towns and statistical tables are combined and recorded in advance. National and regional versions are available. In addition, the future data of population density for the years 2020, 2025, and 2030 are collected from the product of the expected future population, Esri Japan Data Content. The future population data every five years estimated based on the gender, the age-specific survival rate, and the net migration rate. The population changes in the future can be visually demonstrated for users. All of the estimates are based on the census and the National Institute of Population and Social Security Research (NIPSSR). Polygons and estimation indicators are also provided in a file geodatabase format, so they can be used immediately for analysis in ArcGIS.
Historical and future data of population density for the exposure component during 2015, 2020, 2025, and 2030 at towns in Kyoto City are shown in Figure 4. As shown in Figure 4, compared to the population density data in 2015, the area with lower population density will gradually increase from 2020 to 2030. In 2020, the population density will slightly decrease in some regions of Yamashina, Sakyo, Nishikyo, and Fushimi wards. In 2025 and 2030, the population density will additionally decrease in some regions of Kita and Fushimi wards. Apparently, the decreasing trend of the population will happen in the next decade. In this paper, residents are the protected target, and the spatial distribution of population density is defined as the exposure.

Vulnerability Indicators
The assessment of vulnerability and climate risk may cause confusion as vulnerability is one of the components for assessing climate risk [24]. Tung et al. [23] proposed that vulnerability is primarily defined as the integration of sensitivity and adaptive capacity (AC) of the protected target. Sensitivity is defined as the characteristics of the protected target, meaning that the sensitivity would be relatively high if climate hazard events easily affect the protected target. On the other hand, the options of governments for mitigating the impact of the hazard on the target are considered as adaptive capacity.
To adapt to climate change, the identification of suitable adaptive capacities is a crucial step. As shown in Table 3, six categories of adaptive capacity were primarily listed. The insurance industry has been increasingly paid attention to assisting societies to be more resilient [25,26]. The arrangement of awareness programs, evacuation drills and evacuation shelters is a disaster response strategy for disaster prevention [27]. Moreover, understanding the production of local knowledge of flood forecasting and providing real-time notification of flooding alerting system are beneficial for decreasing the impact of flood disaster on the lives of people [28]. Meng et al. [29] indicated that the integration of flood risk in spatial planning is another approach for improving the resilience of cities against the increasing intensity of flood hazards, even though its implementation is still challenging. In addition, hydraulic engineering and low-impact development (LID) for preventing flood risk are also seen as essential processes for flood risk mitigation [30,31].

Vulnerability Indicators
The assessment of vulnerability and climate risk may cause confusion as vulnerability is one of the components for assessing climate risk [24]. Tung et al. [23] proposed that vulnerability is primarily defined as the integration of sensitivity and adaptive capacity (AC) of the protected target. Sensitivity is defined as the characteristics of the protected target, meaning that the sensitivity would be relatively high if climate hazard events easily affect the protected target. On the other hand, the options of governments for mitigating the impact of the hazard on the target are considered as adaptive capacity.
To adapt to climate change, the identification of suitable adaptive capacities is a crucial step. As shown in Table 3, six categories of adaptive capacity were primarily listed. The insurance industry has been increasingly paid attention to assisting societies to be more resilient [25,26]. The arrangement of awareness programs, evacuation drills and evacuation shelters is a disaster response strategy for disaster prevention [27]. Moreover, understanding the production of local knowledge of flood forecasting and providing real-time notification of flooding alerting system are beneficial for decreasing the impact of flood disaster on the lives of people [28]. Meng et al. [29] indicated that the integration of flood risk in spatial planning is another approach for improving the resilience of cities against the increasing intensity of flood hazards, even though its implementation is still challenging. In addition, hydraulic engineering and low-impact development (LID) for preventing flood risk are also seen as essential processes for flood risk mitigation [30,31]. As to the sensitivity of vulnerability, the five suitable categories of sensitivity are used herein. The population of young children below 15 years and older people over 65 years falls under the category of sensitivity because of the height of young children and the slow action of elders [23,32]. Crichton [26] mentioned that between 1975 and 2001, 99 percent of deaths (over 250,000 people) due to floods were people from low-income groups. Additionally, total economic losses due to disasters in poorer countries are close to 14 percent of gross domestic product (GDP), yet the losses in more prosperous countries are usually less than 2 percent of GDP. Furthermore, the population of people with a physical disability and the female to male ratio are also considered. To comprehensively discuss the potential adaptation strategies, these five categories of sensitivity in Table 3 are therefore taken into account as indicators in this paper.

Future Scenarios of Sensitivity
For flood prevention and mitigation, useful information about future risk and the difference between current and future risks are quite important for decision makers. Because of the collection of future data of population density (see Section 3.3), the future data of the population of young children and older people and female to male ratio were provided as well. However, the categories of poverty level and population for people with physical disability lack future data, which should be reasonably assumed and estimated. In this study, linear regression (LR) analysis was used to capture the trend of the two variables by using historical data points for each administrative ward of the city. Then, we assumed that the future data of these two variables are the data points located at the linear extrapolation of the trend analyzed by LR, which means that the assumption was based on the historical trend poverty level and population for people with a physical disability. Table 4 shows the statistics of the poverty level and population for people with a physical disability based on the historical data covering seven years (2009-2015) and 15 years (2004-2018) in each ward, respectively. As shown in Table 4, compared to minimum and maximum values, the standard deviation is relatively smaller, indicating that the dramatic change in these two variables in each ward is not extremely obvious and relatively smooth. It is a reasonable explanation of why to use this method herein.

Generalized Assessment Framework
The flowchart of the proposed approach for assessing climate risk and potential climate adaptation strategies is presented in Figure 5. Several reasonable explanations for using the proposed approach include the proposed approach being able to: (1) assist decision-makers (e.g., different governance levels) to comprehensively understand the causes of climate risk, (2) produce rational climate risk maps with the current exposure and vulnerability by the quantitative analysis approach, (3) primarily focus on the investigation of the possible change of climate risk resulted from various exposure and vulnerability based on the assumption of the same hazard, and (4) analyze the effect of different potential climate adaptation strategies on climate risk.
Water 2020, 12, x FOR PEER REVIEW 10 of 23

Generalized Assessment Framework
The flowchart of the proposed approach for assessing climate risk and potential climate adaptation strategies is presented in Figure 5. Several reasonable explanations for using the proposed approach include the proposed approach being able to: (1) assist decision-makers (e.g., different governance levels) to comprehensively understand the causes of climate risk, (2) produce rational climate risk maps with the current exposure and vulnerability by the quantitative analysis approach, (3) primarily focus on the investigation of the possible change of climate risk resulted from various exposure and vulnerability based on the assumption of the same hazard, and (4) analyze the effect of different potential climate adaptation strategies on climate risk.  As shown in Figure 5, the possible causes and factors of flood disaster are firstly investigated by systematical integration. The inundated map with maximum possible flood situation, the exposure data, and the data of adaptive capacity and sensitivity shall be collected for the identification of climate risk maps with the current exposure and vulnerability. Second, the possible changes in exposure and vulnerability in future projection scenarios are also analyzed to generate climate risk maps with the future possible exposure and vulnerability for comparison of the maps with the current situation. Third, the potential adaptation strategies of structural and non-structural measures are identified and comprehensively discussed to determine the indicators. Finally, the climate adaptation strategies are investigated by comparison of a decrease in risk with potential strategies.
The proposed approach has several advantages for assessing flood risk and suitable strategies, such as: (1) the generalized framework is proposed based on the core concept of climate risk template in order to help readers to clearly understand the components of hazard, exposure and vulnerability; (2) in addition to the qualification analysis, the quantification approach for reasonably and efficiently determining different levels of hazard, exposure and vulnerability is also integrated in the framework; (3) the results of climate risk maps are visually presented to assess the spatial-temporal relationship of climate risk with simultaneously considering vulnerability and adaptive capacity.

Identification of Possible Causes in Flood Disaster
Climate risk is defined by [33] as the interaction of hazard, exposure, and vulnerability. Risk is also the potential adverse consequences on lives, livelihoods, health, ecosystems, economic, social and cultural assets, and infrastructure as the outcome is uncertain. The climate risk template, initially developed by Tung et al. [23], assists users to identify the factors of climate risk for various research fields based on the definition of climate risk proposed by [33]. The template is utilized as a climate risk assessment tool to analyze all possible causes of flood disasters, as shown in Figure 6. Table 5 is the list of the explanations of each item in the climate risk template. In this paper, we primarily focus on the discussion of the possible causes of a flood disaster by utilizing the items in the red dotted box.
Water 2020, 12, x FOR PEER REVIEW 11 of 23 As shown in Figure 5, the possible causes and factors of flood disaster are firstly investigated by systematical integration. The inundated map with maximum possible flood situation, the exposure data, and the data of adaptive capacity and sensitivity shall be collected for the identification of climate risk maps with the current exposure and vulnerability. Second, the possible changes in exposure and vulnerability in future projection scenarios are also analyzed to generate climate risk maps with the future possible exposure and vulnerability for comparison of the maps with the current situation. Third, the potential adaptation strategies of structural and non-structural measures are identified and comprehensively discussed to determine the indicators. Finally, the climate adaptation strategies are investigated by comparison of a decrease in risk with potential strategies.
The proposed approach has several advantages for assessing flood risk and suitable strategies, such as: (1) the generalized framework is proposed based on the core concept of climate risk template in order to help readers to clearly understand the components of hazard, exposure and vulnerability; (2) in addition to the qualification analysis, the quantification approach for reasonably and efficiently determining different levels of hazard, exposure and vulnerability is also integrated in the framework; (3) the results of climate risk maps are visually presented to assess the spatial-temporal relationship of climate risk with simultaneously considering vulnerability and adaptive capacity.

Identification of Possible Causes in Flood Disaster
Climate risk is defined by [33] as the interaction of hazard, exposure, and vulnerability. Risk is also the potential adverse consequences on lives, livelihoods, health, ecosystems, economic, social and cultural assets, and infrastructure as the outcome is uncertain. The climate risk template, initially developed by Tung et al. [23], assists users to identify the factors of climate risk for various research fields based on the definition of climate risk proposed by [33]. The template is utilized as a climate risk assessment tool to analyze all possible causes of flood disasters, as shown in Figure 6. Table 5 is the list of the explanations of each item in the climate risk template. In this paper, we primarily focus on the discussion of the possible causes of a flood disaster by utilizing the items in the red dotted box. Figure 6. The definition of climate risk template developed by [23], and the items in the red dotted box are the main part on which we focus to discuss hazard, exposure, and vulnerability. Figure 6. The definition of climate risk template developed by [23], and the items in the red dotted box are the main part on which we focus to discuss hazard, exposure, and vulnerability.

Classification Item Explanation
Hazard Climatic Factor It denotes the factor affecting the protected target because of the impact of climate change on the protected target.
Non-climatic Factor It denotes the factor resulting in the hazard because of the influence of anthropogenic behavior.

Vulnerability
Adaptive Capacity It means the measurements of the governance level for decreasing the impact of hazard.

Sensitivity
It represents the extent how easily the protected target is influenced by hazard.

Others
Key Issue Historical events, such as the loss of people's life and property and natural systems, resulting from climate extremes should be paid attention.

Protected Target
The target in which the governance level is interested to protect. It could be human, animal, factories, or other things affected by disasters.
Governance Level The government can be central level, local level, or local organization (e.g., community).

Stakeholder
It can be defined as people, industries, or the organizations affected by the key issue or hazard.
As shown in Figure 6, the key issue and the target on which we focus should be evidently determined. Moreover, not only the climatic factors are considered, but also the non-climatic factors should be clearly taken into account for assessing hazard in the outer system. In the inner system, the exposure is defined as a spatial distribution of the protected target. The vulnerability is composed of adaptive capacity, adaptation options of the protected target and governance level, sensitivity, and the features/characteristics of the protected target. In addition to the relationship between factors, the tools used to quantify hazard, exposure, and vulnerability are also essential and should be listed for users. In this study, the possible causes of flood disasters in a case study are comprehensively highlighted.

Assessment of Climate Adaptation Strategies
To investigate the potential effect of climate adaptation strategies on climate risk, the potential climate adaptation strategies should be reasonably assessed and compared to climate risk maps without adaptation options. The adaptive capacity to which the government can adopt is diverse, such as insurance, disaster prevention, early warning systems, national spatial planning, hydraulic engineering, and low-impact development, as shown in Table 3. However, the results might have higher uncertainty by the assumption of assessing all climate adaptation strategies because of the difficulty in data collection (e.g., long-term insurance data), different types of data format, and different spatial-temporal data scales, etc. Therefore, to assess reasonable climate adaptation strategies, the LID techniques, such as rainwater storage, green roofs, permeable pavements, and detention ponds, were adopted as the potential adaptation capacity in this study. The LID has been increasingly focused on stormwater management. This study considered the following four options as the LID: (1) rainwater storage; (2) green roof units; (3) permeable pavement; (4) detention pond.
Rainwater storage and green roof units are frequently used to collect roof runoff during nonwinter seasons in green building designs [34,35]. The installation of permeable pavement facilities would be effective for urban runoff mitigation because the facilities are easily able to adapt for road and public facilities [36,37]. In addition, detention ponds can combine stormwater with parks and open spaces [38]. Hence, these four countermeasures corresponding to the categories of land use in a section of a ward were selected and four adaptation strategies, AS1, AS2, AS3, and AS4, applying the above four measures with different prioritization (ranking), were considered for Kyoto City, as shown in Table 6. In this paper, the score values of different adaptation strategies were calculated as the AC value for quantitatively evaluating the vulnerability level. The ratio of land-use area for each section of a village can be written as where RA means the ratio of land use area; A i is the area for the category i of land use; A total denotes the entire area in the section; and N LU means the number of the land use categories. The N LU used in this study is equal to 7, based on Table 6. Then the score value of an adaption strategy could be written as where SAS j means the score value of the jth adaptation strategy; R k is the ranking of kth measure; N M denotes the number of measures considered (four in this study); N R k denotes the number of land use types applied with the kth measure; W k is the kth weight; and N AS denotes the number of adaptation strategies. The weights of the different rankings for each year are shown in Table 7.  It is worth mentioning that the interval of weight in 2015, 2020, 2025, and 2030 is equally set as the same for each ranking. In the final year (2030), the weights for all ranking are set from 0.2 to 0.8 because of the assumption that the government would not be able to totally implement the adaptation strategies with the first and the last priorities. We also assume that all adaptation strategies with their priority should be executed rather than implementing only one strategy at a time to reduce climate risk.

Quantification Analysis for Spatial Risk Assessment
To visually assess the spatial-temporal relationship of climate risk, the development of a reasonable quantification approach for demonstrating spatial climate risk in different regions by using climate risk maps is a crucial step. The illustration of the quantification approach used in this paper for hazard (H), exposure (E), vulnerability (V), and climate risk (R) levels is shown in Figure 7. Hazard levels are defined within different ranges of inundation depths in Table 2. The standard score, calculated by subtracting the mean from an individual raw score and then dividing the difference by the standard deviation, is used to standardize all indicators of exposure and vulnerability. The Z-score can be written as where z i denotes Z-score; x i is the value of an indicator in a region; x is the mean of the indicator value; S is the standard deviation of the indicator value; and N re is the number of regions in a map.
Hazard levels are defined within different ranges of inundation depths in Table 2. The standard score, calculated by subtracting the mean from an individual raw score and then dividing the difference by the standard deviation, is used to standardize all indicators of exposure and vulnerability. The Zscore can be written as where denotes Z-score; is the value of an indicator in a region; ̅ is the mean of the indicator value; S is the standard deviation of the indicator value; and is the number of regions in a map. It is worth mentioning that the indicators of sensitivity have a positive relationship with vulnerability, and the adaptive capacity has an inverse relationship with vulnerability. In other words, the vulnerability level would be higher if the extent of sensitivity is higher, but it would be lower if the value of adaptive capacity was higher. Therefore, the new score is calculated as (1 Zscore). Then the average value of Z-scores and 1 Z-score of all indicators is computed and the cumulative distribution function (CDF) of the average value is used to determine the different levels of vulnerability. The CDF of Z-score of exposure indicator is also used to define different exposure levels. For determining the climate risk level, the risk assessment matrices (RAMs) developed by Jhong et al. [26] are adopted as a tool to transform the levels of hazard, exposure, and vulnerability to climate risk level. RAM determines the first new level integrating the levels of exposure and vulnerability, and the second new level (integrating the first new level) and hazard level are then decided by RAM again, which is defined as the climate risk level in this study.

Analysis of the Possible Causes in Flood Disaster and Adaptation Strategies
In this subsection, the possible causes of a flood disaster are comprehensively listed and analyzed to present the relationship between different factors. Figure 8 shows the possible causes of climate risk in flood disasters and the possible adaptation strategies. In this study, the effect of inundation on residents is of interest as the key issue, hence the residents were focused on as the protected target. As shown in Figure 8, the relationship between the possible input (i.e., the climatic and non-climatic factors) and the desired output (i.e., inundation depths) was explicitly pointed out in the external part. The assessment tools can also be presented in the climate risk template. In general, a numerical model is usually applied to simulate the inundation depths. The decision makers/users It is worth mentioning that the indicators of sensitivity have a positive relationship with vulnerability, and the adaptive capacity has an inverse relationship with vulnerability. In other words, the vulnerability level would be higher if the extent of sensitivity is higher, but it would be lower if the value of adaptive capacity was higher. Therefore, the new score is calculated as (1− Z-score). Then the average value of Z-scores and 1− Z-score of all indicators is computed and the cumulative distribution function (CDF) of the average value is used to determine the different levels of vulnerability. The CDF of Z-score of exposure indicator is also used to define different exposure levels. For determining the climate risk level, the risk assessment matrices (RAMs) developed by Jhong et al. [26] are adopted as a tool to transform the levels of hazard, exposure, and vulnerability to climate risk level. RAM determines the first new level integrating the levels of exposure and vulnerability, and the second new level (integrating the first new level) and hazard level are then decided by RAM again, which is defined as the climate risk level in this study.

Analysis of the Possible Causes in Flood Disaster and Adaptation Strategies
In this subsection, the possible causes of a flood disaster are comprehensively listed and analyzed to present the relationship between different factors. Figure 8 shows the possible causes of climate risk in flood disasters and the possible adaptation strategies. In this study, the effect of inundation on residents is of interest as the key issue, hence the residents were focused on as the protected target. As shown in Figure 8, the relationship between the possible input (i.e., the climatic and non-climatic factors) and the desired output (i.e., inundation depths) was explicitly pointed out in the external part. The assessment tools can also be presented in the climate risk template. In general, a numerical model is usually applied to simulate the inundation depths. The decision makers/users can apply the open data from governmental organizations as well if the data are available. Consequently, the flexibility and adaptability of the proposed approach that decision makers can use to apply the results provided from various resources are its superiority. can apply the open data from governmental organizations as well if the data are available. Consequently, the flexibility and adaptability of the proposed approach that decision makers can use to apply the results provided from various resources are its superiority. In the internal part, exposure is clearly defined as the spatial distribution of the protected target (i.e., population density). Concerning the adaptive capacity and sensitivity components of vulnerability, the potential adaptation strategies for non-structural and structural measures were identified and listed in Table 8. The climate adaptation strategies can be separated as non-structural and structural measures. Non-structural measures consist of insurance, disaster prevention, early warning system, and national spatial planning. Insurance represents the subsidy from governments or insurance companies for residents and their houses. Disaster prevention includes awareness and evacuation drills, preparedness, and the arrangement of evacuation shelters. Furthermore, the realtime notification of flooding alerting system for residents as a heavy rainfall event occurs. The planning of land use changes, restricted area, and exposure changes is also a kind of crucial national spatial planning for decreasing climate risk.
The main structural measures are hydraulic engineering and low-impact development. As shown in Table 8, the engineering for strengthening riverbanks or increasing riverbank height, constructing hydraulic structures, and increasing urban sewer system is common in hydraulic engineering. Recently, low-impact development, such as the establishment of rainwater storage, green roof, detention pond, and permeable pavement, has gradually gained attention. The results clearly show that the climate risk template could analyze the possible comprehensive causes in flood disasters and corresponding climate adaptation strategies. In the internal part, exposure is clearly defined as the spatial distribution of the protected target (i.e., population density). Concerning the adaptive capacity and sensitivity components of vulnerability, the potential adaptation strategies for non-structural and structural measures were identified and listed in Table 8. The climate adaptation strategies can be separated as non-structural and structural measures. Non-structural measures consist of insurance, disaster prevention, early warning system, and national spatial planning. Insurance represents the subsidy from governments or insurance companies for residents and their houses. Disaster prevention includes awareness and evacuation drills, preparedness, and the arrangement of evacuation shelters. Furthermore, the real-time notification of flooding alerting system for residents as a heavy rainfall event occurs. The planning of land use changes, restricted area, and exposure changes is also a kind of crucial national spatial planning for decreasing climate risk.
The main structural measures are hydraulic engineering and low-impact development. As shown in Table 8, the engineering for strengthening riverbanks or increasing riverbank height, constructing hydraulic structures, and increasing urban sewer system is common in hydraulic engineering. Recently, low-impact development, such as the establishment of rainwater storage, green roof, detention pond, and permeable pavement, has gradually gained attention. The results clearly show that the climate risk template could analyze the possible comprehensive causes in flood disasters and corresponding climate adaptation strategies. Climate risk maps with the possible situations of exposure and vulnerability for the periods 2015, 2020, 2025, and 2030 without potential climate adaptation strategies are shown in Figure 9. As shown in Figure 9, it is worth noting that most places in Yamashina, Fushimi and Minami wards and several red-colored regions in Ukyo and Nishikyo wards have relatively higher climate risk levels because of high population density and the location of their houses near rivers.
Compared to 2015 (Figure 9a), the results in 2020 (Figure 9b) clearly show that most of the area in Kamigyo ward and the area in Minami ward have a lower risk level (blue dotted circles). However, climate risk is slightly increased in several places, such as Kita, Nakagyo, and Fushimi wards (black dotted circles), in 2020. Compared to 2020, the areas in Kamigyo, Nakagyo, Shimogyo, and Higashiyama wards have higher climate risk levels, apart from the area in the eastern Nishikyo ward in 2025. Compared to 2025, some regions in Sakyo, Kita, Higashiyama, and Nishikyo wards have lower risk, yet it should be noted that the area in the northeastern Nishikyo ward has a higher climate risk. The results indicate that even though the climate risk in most of the regions in Kyoto City would decrease between 2020 and 2030, the areas in the city center and the southern Kyoto City have a very high climate risk. A reasonable explanation is that (1) the population density in several regions decreases, especially for the periods of 2025 and 2030 (see Figure 4); (2) the southern areas in Kyoto City have relatively higher climate risk levels due to the higher hazard levels near rivers. decreases, especially for the periods of 2025 and 2030 (see Figure 4); (2) the southern areas in Kyoto City have relatively higher climate risk levels due to the higher hazard levels near rivers.

Investigation of the Potential Possibility of Different Climate Adaptation Strategies
In order to analyze the effect of climate adaptation strategies on decreasing climate risk to investigate their potential possibility, the decreased levels of climate risk in each section of the village with the potential climate adaptation strategies for 2015, 2020, 2025, and 2030 are presented in this subsection, as shown in Figures 10-13. It should be noted that the numbers of improvement, 4, 3, 2, and 1, indicate that the climate risk levels decrease from 5 to 4, from 4 to 3, from 3 to 2, and from 2 to 1, respectively, yet the number 0 means that the climate risk level does not change. According to the result of AS1 in 2015, the climate risk in most of the regions located near the city center and in the northeastern part of the city center is certainly improved from level 2 to 1 and from level 3 to 2. However, it is clear that the climate risk for some parts in the southeastern, southern, and southwestern regions of the city is obviously decreased from level 5 to 4 and level 4 to 3. Compared to AS1, even though AS2 is quite similar to AS1, the climate risk in the eastern and western regions of the city (pink dotted circles) in AS2 is decreased. However, the climate risk in many regions of Kyoto City (blue dotted circles) in AS3 and AS4 is relatively not obvious. The results clearly show

Investigation of the Potential Possibility of Different Climate Adaptation Strategies
In order to analyze the effect of climate adaptation strategies on decreasing climate risk to investigate their potential possibility, the decreased levels of climate risk in each section of the village with the potential climate adaptation strategies for 2015, 2020, 2025, and 2030 are presented in this subsection, as shown in Figures 10-13. It should be noted that the numbers of improvement, 4, 3, 2, and 1, indicate that the climate risk levels decrease from 5 to 4, from 4 to 3, from 3 to 2, and from 2 to 1, respectively, yet the number 0 means that the climate risk level does not change. According to the result of AS1 in 2015, the climate risk in most of the regions located near the city center and in the northeastern part of the city center is certainly improved from level 2 to 1 and from level 3 to 2. However, it is clear that the climate risk for some parts in the southeastern, southern, and southwestern regions of the city is obviously decreased from level 5 to 4 and level 4 to 3. Compared to AS1, even though AS2 is quite similar to AS1, the climate risk in the eastern and western regions of the city (pink dotted circles) in AS2 is decreased. However, the climate risk in many regions of Kyoto City (blue dotted circles) in AS3 and AS4 is relatively not obvious. The results clearly show that the second climate adaptation strategy certainly improves the extent of climate risk, especially for the location near the river side.
that the second climate adaptation strategy certainly improves the extent of climate risk, especially for the location near the river side. Figure 10. Decreased levels of climate risk in each section of village with the potential climate adaptation strategies for 2015. Note: The numbers of improvement, 4, 3, 2, and 1, indicate that the risk levels decrease from 5 to 4, from 4 to 3, from 3 to 2, and from 2 to 1, respectively. The number 0 means that the risk level does not change. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1. Figure 11. Decreased levels of climate risk in each section of village with the potential climate adaptation strategies for 2020. Note: Same as the note in Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1. Figure 10. Decreased levels of climate risk in each section of village with the potential climate adaptation strategies for 2015. Note: The numbers of improvement, 4, 3, 2, and 1, indicate that the risk levels decrease from 5 to 4, from 4 to 3, from 3 to 2, and from 2 to 1, respectively. The number 0 means that the risk level does not change. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1.
Water 2020, 12, x FOR PEER REVIEW 18 of 23 that the second climate adaptation strategy certainly improves the extent of climate risk, especially for the location near the river side. The numbers of improvement, 4, 3, 2, and 1, indicate that the risk levels decrease from 5 to 4, from 4 to 3, from 3 to 2, and from 2 to 1, respectively. The number 0 means that the risk level does not change. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1. Figure 11. Decreased levels of climate risk in each section of village with the potential climate adaptation strategies for 2020. Note: Same as the note in Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1. Figure 11. Decreased levels of climate risk in each section of village with the potential climate adaptation strategies for 2020. Note: Same as the note in Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1.  Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1. Figure 13. Decreased levels of climate risk in each section of village with the potential climate adaptation strategies for 2030. Note: Same as the note in Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1.
According to the results of AS1 in 2020, the area with improvement number 1 decrease, yet the regions decreasing the climate risk from level 3 to 2 increase, especially for the location in the southwestern part. Compared to AS1, the improvement of climate risk with AS2 is relatively visible than other climate adaptation strategies. However, the improvement extent in AS3 and AS4 is still relatively not apparent. For 2025, compared to AS1, some regions in AS2 are not improved, yet the climate risk in several regions is oppositely improved from level 3 to 2 and from level 5 to 4. Many areas in AS3 and AS4 have no improvement, especially for AS4. However, the climate risk in many small areas of the city center (e.g., Kamigyo, Nakagyo, and Shimogyo wards) in AS3 and AS4 are relatively improved. For 2030, the improvement extent for AS2, AS3 and AS4 are not evident compared to AS1. Nevertheless, the climate risk in some regions for AS3 is obviously decreased from level 5 to 4.  Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1.  Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1. Figure 13. Decreased levels of climate risk in each section of village with the potential climate adaptation strategies for 2030. Note: Same as the note in Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1.
According to the results of AS1 in 2020, the area with improvement number 1 decrease, yet the regions decreasing the climate risk from level 3 to 2 increase, especially for the location in the southwestern part. Compared to AS1, the improvement of climate risk with AS2 is relatively visible than other climate adaptation strategies. However, the improvement extent in AS3 and AS4 is still relatively not apparent. For 2025, compared to AS1, some regions in AS2 are not improved, yet the climate risk in several regions is oppositely improved from level 3 to 2 and from level 5 to 4. Many areas in AS3 and AS4 have no improvement, especially for AS4. However, the climate risk in many small areas of the city center (e.g., Kamigyo, Nakagyo, and Shimogyo wards) in AS3 and AS4 are relatively improved. For 2030, the improvement extent for AS2, AS3 and AS4 are not evident compared to AS1. Nevertheless, the climate risk in some regions for AS3 is obviously decreased from level 5 to 4.  Figure 10. The blue dotted circles for AS2, AS3 and AS4 indicate that the improvement decreases compared to AS1; the pink dotted circles for AS2, AS3 and AS4 indicate that the improvement increases compared to AS1.
According to the results of AS1 in 2020, the area with improvement number 1 decrease, yet the regions decreasing the climate risk from level 3 to 2 increase, especially for the location in the southwestern part. Compared to AS1, the improvement of climate risk with AS2 is relatively visible than other climate adaptation strategies. However, the improvement extent in AS3 and AS4 is still relatively not apparent. For 2025, compared to AS1, some regions in AS2 are not improved, yet the climate risk in several regions is oppositely improved from level 3 to 2 and from level 5 to 4. Many areas in AS3 and AS4 have no improvement, especially for AS4. However, the climate risk in many small areas of the city center (e.g., Kamigyo, Nakagyo, and Shimogyo wards) in AS3 and AS4 are relatively improved. For 2030, the improvement extent for AS2, AS3 and AS4 are not evident compared to AS1. Nevertheless, the climate risk in some regions for AS3 is obviously decreased from level 5 to 4.

Future Potential Adaptation Strategies and Recommended Suggestions for a Metropolitan City
With regard to the results of comparing climate risk maps with the possible situations of exposure and vulnerability, it is evident that the spatial area of improvement of climate risk in 2015 is more than those in other years, especially for AS2 strategies. In 2020, even though the spatial area of improvement of climate risk is relatively less, the climate risk in the several regions is improved from level 3 to 2, and AS2 also performs better than other strategies. However, the difference in the improvements of all climate adaptation strategies for decreasing climate risk in 2025 and 2030 are not apparent. AS4 indeed improves the climate risk in the central part of Kyoto City.
As per the assumption for the setting of climate adaptation strategies in this study, the decreased extents of climate risk in 2025 and 2030 are similar, although the weights of the different rankings for the adaptation strategies increase as the year increases. This is because the population density decreases in those years, so the number of children and elders also relatively decreases. Therefore, it is certainly not easy to have an extensive spatial area of the improvement of climate risk. The government should pay attention to reducing the population in flood-prone areas. For investigating the potential climate adaptation strategies, the diverse strategies play a vital role. The improvement of AS2 in 2015 and 2020 is effective, but AS3 and AS4 in 2030 are relatively better performing than the others. This clearly shows that rainwater storage and green roofs have been strongly encouraged as one of the potential adaptation strategies for short-term planning. For long-term planning, the construction of detention ponds has been suggested for flood prevention. It is recommended that all adaptation strategies should be explored with their priority settings rather than implementing only one strategy at a time for reducing climate risk in the metropolitan city.

Can We Apply This Approach to Another Different Case Studies? What Kinds of the Assumptions and the Uncertainty Should We Notice?
To focus on the assessment of flood risk and the investigation of suitable strategies under various vulnerability and adaptation scenarios, one of the main assumptions in this study is that the future hazard level is supposed as the same with the current one. The future exposure and vulnerability, however, was appropriately evaluated by the reasonable quantitative analysis. Another of the main assumptions is the setting of weights of the different rankings for each year. In this study, the weights were set in a linearly increasing way to assume that the decision makers would have gradually adopted different adaptation strategies. The higher weights indicate that measurements were valued by the decision makers than the lower weights. Hence, the decision makers/users can decide the weights depending on their judgment and determination.
In addition, the hazard map database was utilized from the open data website, National Land Numerical Information Download Service (NLNIDS) sponsored by National Land Information Division, National Spatial Planning and Regional Policy Bureau, Ministry of Land, Infrastructure, Transport and Tourism (MLIT) of Japan. The provided data were rigorously simulated by physics-based numerical model to further produce the hypothetical potential river flooding map. Hence, in the process of the evaluation of inundation depths, the numerical model must take into account water levels and velocities. The approach proposed in this study is mainly to allow decision makers/users to efficiently apply the existing information to assess climate risk based on the climate risk template. Because of the reliable open data from NLNIDS, the downloaded official data which are available in other regions were adopted in this study. Moreover, decision makers/users can also apply the results of self-developed flooding numerical models including water levels and velocities, and integrate the proposed approach in this study to analyze and assess the climate risk. Therefore, the flexibility and adaptability of the proposed approach are also some of its advantages.
In short, this study provides, as a matter of fact, an alternative approach for assessing climate risk in floods. Therefore, the proposed approach can be applied to other different case studies, especially for metropolitan cities.

Conclusions
The purpose of this paper is to quantify the flood hazard, exposure and vulnerability of a target to focus on (residents), and the evaluation of potential adaptation strategies essential for climate risk reduction. For this purpose, a generalized flood risk assessment framework is proposed. First, the possible causes of flood disaster are identified by using the climate risk template, and the potential climate adaptation strategies were discussed. The framework is applied in the Kyoto City of Japan to investigate the suitable adaptation strategies under various vulnerability and adaptation scenarios.
The results indicate that the climate risk in some regions in Kyoto City would decrease because of the decreasing population density, but some areas within the river's vicinity have a relatively high climate risk regarding flooding. The results also show that strategies, such as rainwater storage and green roofs, are helpful to reduce the flood risk and are recommended as a climate adaptation strategy as a part of the short-term planning process in the metropolitan city.
One of the limitations of the present study is that the hazard extents for different years are assumed to be the same, and the climate risks in different periods are quantitatively discussed with the variability in the exposure and vulnerability. Nevertheless, the extent of hazards could also possibly be more severe in the future than the present. It is also possible that climate risk in the future will increase. Therefore, the future work can focus on the discussion based on the different scenario settings of structural measures and the simulation of hazards caused by different rainfall situations to obtain more reasonable hazard levels.