A Framework to Evaluate Community Resilience to Urban Floods: A Case Study in Three Communities

Community resilience is a key index for describing the response of human habitat systems to hazards. Evaluating and enhancing the community resilience requires indicators, identification, and quantitative measurements, especially for urban flooding management. In this study, an advanced index framework for measuring community resilience to urban flooding is proposed, integrating the fuzzy Delphi method (FDM) and the analytic network process (ANP). Seven indicators (public facilities, spatial structure of land use, flood management organizations, rescue capability, accuracy of weather forecasts, vulnerable population, and individual capability) of community resilience are identified using the fuzzy Delphi method. The indicators are classified into four dimensions, and the weights are determined by the analytic network process. This approach is applied to three different types of communities, namely, a newly built neighborhood, an ancient college, and a flood-prone village in the city of Nanning, China, using data collected from questionnaires, interviews, and field investigations. The neighborhood (with a total averaged score of 2.13) has the largest community resilience to urban flooding, followed by the college (1.8), and finally the village (0.91). Flooding management organizations play a leading role in the urban flooding resilience of the neighborhood and college, while the vulnerable population has a great impact on the community resilience of the village. Results of the strategy analysis suggest that science and technology improvement (0.543) is more important than social–economic status improvement (0.325) and built-environment improvement (0.132) for mitigating urban hazards in Nanning. The proposed framework in this study contributes to the interdisciplinary understanding of community resilience for urban flooding and is expected to be applied to sustain urban planning and flood evacuations.


Introduction
Due to a changing climate and urbanization, natural hazards are becoming more and more intense and frequent, having devastating impacts on lives and infrastructure [1]. According to the Annual Flood and Drought Hazards Report of China, the direct flood damage in 2016 reached 364.3 billion Chinese Yuan, and 192 cities were involved in flood events [2]. Flooding risk mitigation requires studies associated with flooding hazards [3][4][5] and flooding risk management strategies combining hazard, exposure, and social vulnerability [6][7][8], as well as the response and resilience of communities.
Sustainability 2020, 12, 1521 3 of 21 floods and to better reduce disaster risks. These findings are expected to provide scientific guidance for risk management of and strategic decisions for urban floods at the community scale.

Study Area
Nanning is located in the south of China, with an annual average rainfall of about 1300 mm. Yong Jiang River is the largest river in this city, with an annual average runoff discharge of 4.18 × 107 m 3 . According to historical data, there were 19 urban flood events with peak flow discharges of more than 1.11 × 104 m 3 /s from 1907 to 2000. For example, the rainstorm hazards in July of 2006 resulted in large areas of waterlogging in Nanning, that is, 66 streets were flooded with 0.5-3 m depths of water, leading to a huge economic loss and serious environmental and social problems. In terms of the social development degree, the three communities that are selected as the study area in this paper ( Figure 1) are (A) Guangxi University of Chinese Medicine, (B) the Zhuhu village and (C) the Daxuenan neighborhood. Guangxi University of Chinese Medicine is an old community with historical buildings; it is regarded as a key waterlogged point in Nanning city due to its poor drainage and low-lying land; contrarily, the Daxuenan neighborhood is a newly built community located prone to Xiangsihu River, with a brand-new drainage system and smart layout, and the Zhuhu village is a remote community that continually suffers severe waterlogging, which causes misery to the villagers. Thus, the three selected communities are of different types, with different drainage facilities and different flood defense standards, and are confronted with the different challenges of urban floods.
Sustainability 2020, 12,1521 3 of 20 scientific guidance for risk management of and strategic decisions for urban floods at the community scale.

Study Area
Nanning is located in the south of China, with an annual average rainfall of about 1300 mm. Yong Jiang River is the largest river in this city, with an annual average runoff discharge of 4.18 × 107 m 3 . According to historical data, there were 19 urban flood events with peak flow discharges of more than 1.11 × 104 m 3 /s from 1907 to 2000. For example, the rainstorm hazards in July of 2006 resulted in large areas of waterlogging in Nanning, that is, 66 streets were flooded with 0.5-3 m depths of water, leading to a huge economic loss and serious environmental and social problems. In terms of the social development degree, the three communities that are selected as the study area in this paper ( Figure  1) are (A) Guangxi University of Chinese Medicine, (B) the Zhuhu village and (C) the Daxuenan neighborhood. Guangxi University of Chinese Medicine is an old community with historical buildings; it is regarded as a key waterlogged point in Nanning city due to its poor drainage and lowlying land; contrarily, the Daxuenan neighborhood is a newly built community located prone to Xiangsihu River, with a brand-new drainage system and smart layout, and the Zhuhu village is a remote community that continually suffers severe waterlogging, which causes misery to the villagers. Thus, the three selected communities are of different types, with different drainage facilities and different flood defense standards, and are confronted with the different challenges of urban floods.

Data Collection
In this study, questionnaires, interviews, and field observations are used to collect individual responses. A well-designed questionnaire is the prime process in the investigation. The questionnaire used in this study was designed based on the related literature by our group members. Firstly, the questionnaire was pretested by undergraduate students studying hydrology and water resources engineering as a major at Sun Yat-sen University and by experts in the field of urban flood hazards. With the comments from the pretest, we modified several question options and confusing questions. Then, the formal questionnaire was finally established, which contained 18 questions. In the first part, the demographic factors age, occupation, educational background, health condition, and income were collected, which related to the indicators of the vulnerable population and individual capability. In the second part, some more questions were investigated, such as "Q6: What would be your effective way of escape if you are caught by urban floods?", which is related to the indicator of rescue capability, and "Q11: Do you have any knowledge on preparation or prevention of urban flood hazards?", related to the individual capability. Each indicator of community resilience could be derived from the investigation, and it took nearly 10 min to complete the questionnaire. The investigation was conducted on March 2018 in the study area.
To determine the sample size of questionnaires, a simplified formula was applied [30] as follows: where n is the smallest sample size, N is the total population in the study area, t is the probability degree. According to the correlation table, t equals 1.96 at a 97% degree of probability. p represents a rounded number, p = 0.5. ∆p is acceptable error, ∆p = 6%. The populations of the Guangxi University of Chinese Medicine, the Daxuenan neighborhood, and the Zhuhu village were 10,000, 5400, and 5012 people, respectively. Questionnaires were handed out at the Guangxi University of Chinese Medicine and the Daxuenan neighborhood; the total population of the two communities was 15,400. The formula produced a value of "n = 263" with an error acceptance value of 6%. Therefore, the proportional samples for the university and the neighborhood were 171 and 92, respectively. As for the Zhuhu village, as many villagers are illiterate, we performed face-to-face interviews in typical households. Thus, data collection was based on door-to-door surveys, electronic questionnaires, and face-to-face interviews.
At the beginning of the investigation, a brief introduction described the objectives of the study and highlighted that participating and completing the questionnaire were voluntary and could be terminated at any time. It was also clearly stated that the questionnaire was completely anonymous. The questionnaire included a comprehensive sociodemographic background of the respondents, such as gender, age, education, occupation, income, etc. The community resilience factors, for example, social trust, rescue capability, local authority decision, and community functioning, were also included in the questionnaire. For each respondent, we calculated the average as the indicator score.

Measurement Method
Community resilience will be the strongest where the different domains intersect. Communities may not be fully resilient, as some of the elements in the community resilience framework contribute to vulnerability. Building on previous resilience studies [31,32], urban resilience can be understood in the aspects of ecological resilience, economic resilience, and social resilience. Certain studies have shown that resilience to urban disasters is related to the urban organization and government, as well as residents' perception of risk. Some frameworks and evaluation tools have been developed by governmental organizations and academic researchers that are focused on different fields and may not be appropriate for other study areas due to the differences in local needs and conditions. Sharifi (2016) established the disaster resilience indicators for the Tan-sui River, which is located in the Taipei metropolitan area surrounded by lakes and rivers and suffers from frequent typhoons and floods, as it is affected by the monsoon climate. With similar natural and social conditions, five dimensions including 13 indicators were identified as the original framework in this study, which are the same as those in reference [33]. In order to assess the community resilience to urban floods, a framework with five dimensions is adopted in this study, including science and technology (ST), the built-environment (BE), organization and institutes (OI), the natural environment (NE), and social-economic status (SE). The indictor system has a multi-hierarchy, as a simplified and new framework of indicators is proposed in this study. Assuming all the dimensions are interdependent, the original framework is shown in Figure 2, which is based on reference [33]. For example, if the resilience of science and technology is promoted, the performance of the built-environment, organization and institutes, the natural environment, and social-economic status would be increased; thus the arrow points from ST to BE, OI, NE, and SE. The relations are displayed similarly in other dimensions; thus, the two-way arrows are marked in Figure 2. The key advantages of this framework include the following: it is a complex network with close interlinkages between the five dimensions and it can be applied to any community. economic status (SE). The indictor system has a multi-hierarchy, as a simplified and new framework of indicators is proposed in this study. Assuming all the dimensions are interdependent, the original framework is shown in Figure 2, which is based on reference [33]. For example, if the resilience of science and technology is promoted, the performance of the built-environment, organization and institutes, the natural environment, and social-economic status would be increased; thus the arrow points from ST to BE, OI, NE, and SE. The relations are displayed similarly in other dimensions; thus, the two-way arrows are marked in Figure 2. The key advantages of this framework include the following: it is a complex network with close interlinkages between the five dimensions and it can be applied to any community.
The definition of five dimensions, the sub indicators of each dimension, and the introduction of data resources are shown in Table 1, which is also based on the work in [33]. These indicators in Table  1     The definition of five dimensions, the sub indicators of each dimension, and the introduction of data resources are shown in Table 1, which is also based on the work in [33]. These indicators in Table 1 Figure 3 shows the framework of the integrated model in this paper. The dimensions and indicators of community resilience to urban flood are identified first based on the common framework and fuzzy Delphi method (FDM). Then, an evaluation network is constructed with selected indicators. Afterward, the weights of the urban flood community resilience indicators are computed using the analytic network process (ANP) and finally, the ranking of community resilience indicators is generated, as well as the importance of strategies.  Figure 3 shows the framework of the integrated model in this paper. The dimensions and indicators of community resilience to urban flood are identified first based on the common framework and fuzzy Delphi method (FDM). Then, an evaluation network is constructed with selected indicators. Afterward, the weights of the urban flood community resilience indicators are computed using the analytic network process (ANP) and finally, the ranking of community resilience indicators is generated, as well as the importance of strategies.

Indicator Selection by FDM
To identify the evaluation indicators in community resilience to urban floods, the fuzzy Delphi method is used in this paper. Since the traditional Delphi method was first developed, it has been widely used in decision making and group consensus in various areas [34]. However, the Delphi method may involve uncertainties, which could be reduced by fuzzy theory [35]. Hence, FDM has

Indicator Selection by FDM
To identify the evaluation indicators in community resilience to urban floods, the fuzzy Delphi method is used in this paper. Since the traditional Delphi method was first developed, it has been widely used in decision making and group consensus in various areas [34]. However, the Delphi method may involve uncertainties, which could be reduced by fuzzy theory [35]. Hence, FDM has been applied to combine participants' viewpoints, as these can provide more objective and reasonable results [36,37].
The procedure to create a series of impact factors as evaluation criteria of community resilience using FDM is as follows: i.
Experts' judgments on 13 indicators within a common framework are produced using semantic variables in questionnaires. To minimize the differences caused by subjective judgements on marking, experts should provide both a possible lowest and a possible highest value using score from 1 to 10, rather than just a random number. The low and high values should be stored for each factor. ii.
Based on questionnaires and face-to-face survey data, the minimum values α i , geometric mean ave β i , and maximum values γ i are calculated, so the evaluation value of the i-th indicator is To obtain the final value of indicator S i , an appropriate defuzzification measure is selected. There are several defuzzification measures which display the intuitive and reasonable characteristics of fuzzy theory, such as centroid, bisection, or maximum. Since the evaluation value of the indicator is dependent only on three parameters (α i , β i , and γ i ) in this study, in order to simplify the calculation, a simple center of the gravity method is applied for defuzzification: iv. Set a threshold ρ to select the more important indicators from the common framework system for community resilience to urban floods. If Si ρ, the i-th indicator is retained, and if S i < ρ, the i-th indicator is abandoned.

Weight Calculation by ANP
The analytic network process evolved from the analytic hierarchy process (AHP), which is applied to assign weights to the selected dimensions and indicators. AHP provides weights to indicators by creating pairwise dimensions and indicators, without considering interdependent relationships among dimensions. To deal with the uncertainty of the interdependence of indicators and a complex network relationship of dimensions, ANP can be used to determine the mixed weight [38,39], which makes the evaluation model approximate the reality of community resilience to urban floods. ANP can be described as follows: i.
Extracting the features of a problem: Analyzing community resilience that is abstracted as interdependent indicators. Specifically speaking, it is decomposed into different dimensions, and a rational network is constructed by quantified correlations. ii.
Pairwise coupling of the comparison matrices of dimensions and indicators: Decision indicators for each dimension are compared pairwise with respect to their importance for the same dimension, and the dimensions themselves are also compared pairwise regarding to their contribution to the resilience. The relative importance values are determined by Satty's scale as in AHP (Table 2), and then the priority vector can be calculated. iii.
where λ max is the maximum eigenvalue of the comparison matrix, n is the order of the comparison matrix, and R.I. is the average random index based on matrix size. All the comparison matrices are required to pass the test with C.R. < 0.1; otherwise, the comparison matrices must be performed again. iv.
Initializing supermatrix formation and supermatrix solution: The supermatrix is formed with the obtained local priority vectors and matrices from step (ii), a weighted supermatrix is derived by transforming all columns to sum to unity, and then the weights are calculated by long-term stable weighted values. Moderate importance Judgment slightly favors one indicator over another 5 Strong importance Judgment strongly favors one indicator over another 7 Very strong An indicator is favored very strongly over another 9 Extreme strong An indicator is favored extremely strongly over another

Investigation Results for the Three Communities
The investigation results of the university and neighborhood communities show the response options in the questionnaires (Figure 4). The total average score was calculated, i.e., 1.8 for the university and 2.13 for neighborhood. The interview records and indicator marks were analyzed for the village, and the total average score was 0.91. Guangxi University of Chinese Medicine had the best resilience in the ST, OI, and SE dimensions, as it is located in an urban area, where the infrastructure has a relatively high quality, and governments provide sufficient rescue once an urban flood occurs. However, this area is not that resilient to the BE and NE dimensions due to its limited pace, flat terrain, and dense buildings. The Daxuenan neighborhood has advanced drainage systems and high elevation, which alleviate the occurrence of severe waterlogging. The Zhuhu village, whose disaster defense construction is still weak, suffers poor resilience in terms of most of the indicators. The priority of community resilience is as follows: the Daxuenan neighborhood, followed by the Guangxi University of Chinese Medicine, and the Zhuhu village, which is relatively weak at recovering from an urban flood.

Scale of Importance
Linguistic Term Explanation 1 Equal importance Two indicators contribute equally to the objective 3 Moderate importance Judgment slightly favors one indicator over another 5 Strong importance Judgment strongly favors one indicator over another 7 Very strong An indicator is favored very strongly over another 9 Extreme strong An indicator is favored extremely strongly over another

Investigation Results for the Three Communities
The investigation results of the university and neighborhood communities show the response options in the questionnaires (Figure 4). The total average score was calculated, i.e., 1.8 for the university and 2.13 for neighborhood. The interview records and indicator marks were analyzed for the village, and the total average score was 0.91. Guangxi University of Chinese Medicine had the best resilience in the ST, OI, and SE dimensions, as it is located in an urban area, where the infrastructure has a relatively high quality, and governments provide sufficient rescue once an urban flood occurs. However, this area is not that resilient to the BE and NE dimensions due to its limited pace, flat terrain, and dense buildings. The Daxuenan neighborhood has advanced drainage systems and high elevation, which alleviate the occurrence of severe waterlogging. The Zhuhu village, whose disaster defense construction is still weak, suffers poor resilience in terms of most of the indicators. The priority of community resilience is as follows: the Daxuenan neighborhood, followed by the Guangxi University of Chinese Medicine, and the Zhuhu village, which is relatively weak at recovering from an urban flood.

Evaluating the Indicator System of Community Resilience to Urban Floods
In order to construct an evaluation indicator system of community resilience to urban flooding, we analyzed the indicators ST, BE, OI, SE, and NE, as shown in Figure 1. However, as some indicators in this community resilience system are not necessary when applied to urban floods, a simplified community resilience system is required to reduce management resources and performance. The fuzzy Delphi method was adopted to determine the indicators for a community resilience system for

Evaluating the Indicator System of Community Resilience to Urban Floods
In order to construct an evaluation indicator system of community resilience to urban flooding, we analyzed the indicators ST, BE, OI, SE, and NE, as shown in Figure 1. However, as some indicators in this community resilience system are not necessary when applied to urban floods, a simplified community resilience system is required to reduce management resources and performance. The fuzzy Delphi method was adopted to determine the indicators for a community resilience system for urban floods. Based on the results of questionnaires and interviews in the three communities, the scores of indicators were classified into seven levels: 0, 0.5, 1.0, 1.5, 2.0, 2.5, and 3.0. Then, the total scores of indicators were calculated, as shown in Table 3. For BE1, for example, the responders would be asked "Q7: What do you think of the impact on public facilities in your community when urban flood hazards occur? (i) the impact is quite slight, (ii) public facilities may include waterlogging, which would temporary restrict daily life, (iii) damages and loss would likely occur, or (iv) severe damages and loss would very likely occur", and the responders were required to tick one of the items as their response. Information on several public facilities had been collected by material review, such as houses, roads, water supply, and power supply, Different communities were confronted with the different challenges of public facilities; the investigators would mention the information when they conducted the questionnaires or interviews. These four items were marked with scores of 3, 2, 1, and 0, respectively. The samples in different communities were collected, and the total score was calculated by the average value. Thus, the final values of BE1 were 1.83, 1.86, and 1 in the neighborhood, college, and village, respectively. If a threshold is set in the interval between 1.6 and 1.7, an obvious cluster of indicators could be detected, shown in Figure 5 and Table 3. In other words, the same simplified indicator system would be generated, irrespective of the value set in the interval between 1.6 and 1.7. Therefore, the indicator system of community resilience would be determined and would display consistency. If a decision-maker requires more indicators, the threshold ρ can be set smaller, and vice versa [27]. With comprehensive consideration of the responders' linguistic scale and the decision-makers' efficient management of the community resilience system, seven indicators were accepted in this study, where we set the threshold ρ = 1.7. As shown in Figure 5, the blue bar represents the selected indicators, and the yellow bar represents the abandoned indicators. This process can help local governments to better manage urban flooding risks and better understand the predominant elements of community resilience to urban floods.  Table 3. For BE1, for example, the responders would be asked "Q7: What do you think of the impact on public facilities in your community when urban flood hazards occur? (i) the impact is quite slight, (ii) public facilities may include waterlogging, which would temporary restrict daily life, (iii) damages and loss would likely occur, or (iv) severe damages and loss would very likely occur", and the responders were required to tick one of the items as their response. Information on several public facilities had been collected by material review, such as houses, roads, water supply, and power supply, Different communities were confronted with the different challenges of public facilities; the investigators would mention the information when they conducted the questionnaires or interviews. These four items were marked with scores of 3, 2, 1, and 0, respectively. The samples in different communities were collected, and the total score was calculated by the average value. Thus, the final values of BE1 were 1.83, 1.86, and 1 in the neighborhood, college, and village, respectively. If a threshold is set in the interval between 1.6 and 1.7, an obvious cluster of indicators could be detected, shown in Figure 5 and Table 3. In other words, the same simplified indicator system would be generated, irrespective of the value set in the interval between 1.6 and 1.7. Therefore, the indicator system of community resilience would be determined and would display consistency. If a decision-maker requires more indicators, the threshold ρ can be set smaller, and vice versa [27]. With comprehensive consideration of the responders' linguistic scale and the decisionmakers' efficient management of the community resilience system, seven indicators were accepted in this study, where we set the threshold ρ = 1.7. As shown in Figure 5, the blue bar represents the selected indicators, and the yellow bar represents the abandoned indicators. This process can help local governments to better manage urban flooding risks and better understand the predominant elements of community resilience to urban floods.

Indicators of the ANP Model of Community Resilience to Urban Flood
A simplified network of community resilience indicators was proposed based on evaluation of the indicator system of community resilience to urban flooding. As shown in Table 3, all the indicators of the Sustainability 2020, 12, 1521 11 of 21 natural environment dimensions are abandoned. If we take the NE dimension as an exterior dimension as a pressure driver, there are four dimensions remaining in this simplified framework, which are the BE, OI, SE, and ST dimensions. To describe the interdependent relationships of community resilience indicators in different communities, we suppose the interdependent relationships exist both within dimensions and among dimensions in this study; thus the ANP network model of indicators was constructed, and the interdependent relationship between selected indicators was established.
In this study, the four dimensions in the simplified network have no interdependence with each other. The normalized weights were computed and are listed in Table 4. The comparison matrices pass the test with C.R. < 0.1. Then, seven indicators of the simplified evaluation system were compared in the three different communities, and experts were asked "considering the satisfaction of indicator BE1, what is the relative impact of all the indicators on each other?", and the question was applied to BE2, OI, ST1, ST2, SE1, and SE2 for the three different communities. In order to ensure that the results are reliable and efficient, six experts were selected in this study, including two in the field of flash flood management, two from the hydrology governmental agency, and two from the local community management agency. In the next stage, the supermatrix for compatibility [40] was formed to converge to a long-term and stable set of weights, which presents the results of relative importance, as shown in Appendices A and B, the supermatrix for compatibility after convergence. Finally, the overall normalized weights of evaluation indicators in the neighborhood, college, and village community were obtained, as listed in Table 5, and a comparison of resilience indicators in communities is shown in Figure 6.
In this study, the built environment dimension was set to test the strength of public facilities and land structures that can defend against water flushing and soaking. The public facilities indicator of the neighborhood reached 0.061, which indicates that an instant heavy rainstorm might generate small-scale waterlogging to impact people's movement. The village had a lower resilience in terms of the public facility (0.057) and spatial structure of land use (0.057), that is, natural, as in large areas there is farmland and most houses are made of bricks. Once an urban flood occurs, crops would be destroyed, and bricks would be damaged easily. The college had the lowest level of the built environment dimension, i.e., 0.042 for public facilities and 0.047 for the spatial structure of land use. This is because the ancient buildings in this college are made of bricks, as it is in the village; moreover, some areas of the college are under construction, which influences the built environment of community resilience, although new urban planning is going to be covered in the future.
The organization and institute dimension refers to disaster prevention plans. The neighborhood and college had a high level in OI2, with weights of 0.606 and 0.703, respectively; these communities are in urban areas with a water-control bureau and municipal government, so emergency rescue, dredging, and other flood management techniques can be easily implemented.
The science and technical dimension consists of rescue capacity and weather forecast. However, the difference in science and technical resilience among communities mainly depends on their rescue capacity, as the forecasting system is advanced, and a disaster warning signal can be sent to mobile phones. The rescue capability in the Zhuhu village had a low level (0.019) as it is located in a remote region; during heavy rainstorms, villagers cannot easily escape.    In this study, the built environment dimension was set to test the strength of public facilities and land structures that can defend against water flushing and soaking. The public facilities indicator of the neighborhood reached 0.061, which indicates that an instant heavy rainstorm might generate small-scale waterlogging to impact people's movement. The village had a lower resilience in terms of the public facility (0.057) and spatial structure of land use (0.057), that is, natural, as in large areas there is farmland and most houses are made of bricks. Once an urban flood occurs, crops would be destroyed, and bricks would be damaged easily. The college had the lowest level of the built environment dimension, i.e., 0.042 for public facilities and 0.047 for the spatial structure of land use. This is because the ancient buildings in this college are made of bricks, as it is in the village; moreover, some areas of the college are under construction, which influences the built environment of community resilience, although new urban planning is going to be covered in the future.
The organization and institute dimension refers to disaster prevention plans. The neighborhood and college had a high level in OI2, with weights of 0.606 and 0.703, respectively; these communities are in urban areas with a water-control bureau and municipal government, so emergency rescue, dredging, and other flood management techniques can be easily implemented.
The science and technical dimension consists of rescue capacity and weather forecast. However, the difference in science and technical resilience among communities mainly depends on their rescue capacity, as the forecasting system is advanced, and a disaster warning signal can be sent to mobile phones. The rescue capability in the Zhuhu village had a low level (0.019) as it is located in a remote The social-economic status dimension represents the influence of the population and the residents' ability to prepare for possible hazards. The village had a high social-economic status level (0.428 in SE1 and 0.196 in SE2) as it can only depend on itself once urban flooding occurs, for example, we noticed that most villagers prepared home-used pumps to increase their drainage ability.
In summary, the results show that differences exist in the community resilience indicators of different communities and illustrate the relative importance of resilience dimensions considering the independent relationships. In this study, seven indicators of the simplified evaluation system were identified by FDM, and the ANP model was used to construct the network evaluation system of community resilience to urban floods. Hence, the proposed model can be used to improve the evaluation by implementing the simplified indicator system and facilitating the computational process. The application provides a quantitative method for resilience dimension assessment and presents methods to cope with interdependent community resilience indicator prioritization in a systematic way.

Strategies of the ANP Model to Enhance Community Resilience
After reviewing the literature and consulting experts, the economic, environmental, and social aspects were considered in the stage of strategy selection, and the strategies to enhance the community resilience to urban flood were defined. Based on the simplified network of community resilience proposed in Section 3.3, the natural environment is an exterior dimension as a pressure driver, and the organization and institute dimension is an interior dimension of the decision makers. Therefore, three community resilience improvement strategies were determined, which are defined as S1 (science and technology improvement), S2 (social-economic status improvement), and S3 (built-environment improvement). There is also interdependence between the three development strategies and the 7 evaluation indicators associated with community resilience to urban flooding. The interdependent relationships exist both within dimensions and among dimensions in this study; thus the ANP network model of strategies was constructed, and the interdependent relationship between selected indicators was established.
If there was no interdependence between the strategies and indicators, the normalized weights were computed, as shown in Table 6, and the comparison matrices passed the test with C.R. < 0.1. Then, three improvement strategies were compared in a simplified evaluation system; experts were asked "considering the satisfaction of indicator BE1, which strategy contributes more to the effect on indicator BE1, and how much more?", and the question was applied to BE2, OI, ST1, ST2, SE1, and SE2. In the next stage, the supermatrix for compatibility was calculated, as shown in Appendix C, and the supermatrix for compatibility after convergence is shown in Appendix D. Finally, the overall normalized priorities of improvement strategies of community resilience to urban flooding were obtained, which indicated that the science and technology improvement ranked first, with a weight of 0.543, followed by social-economic status improvement and built-environment improvement, with weights of 0.325 and 0.132, respectively, as shown in Table 7. The results of these strategies shed light on some key issues which direct the decision makers in enhancing community resilience to urban flooding, shown in Table 7. First, science and technology improvement promotes and enables community resilience initiatives. Greater scientific planning of rescue capabilities with family members, an increase in the accuracy of weather forecasts, and timely alert of the public are urgently required, and an increase in trust in terms of forecasts and warnings is also necessary. According to our calculations, a social-economic status strategy is less important for community resilience than the science and technology strategy. The social-economic status strategy provides an important advancement of social ties in community resilience. A decease of the vulnerable population and an increase of individual capability and financial capability are embedded in the social-economic status strategy. Specifically, the improvement of social ties, individual capability, and communication with neighbors would enhance the community resilience in the neighborhood and college. As there is a larger vulnerable population in the village community, special assistants are urgently required once urban floods occur. Moreover, participation in community parties, groups, and organizations helps to exchange information of hazard risk, which would also enhance community resilience. However, financial capability also characterizes the types of communities, for example, rural communities (the Zhuhu village) with lower financial capability are usually based on shared ideology and have more intense relationships between the residents, which helps to improve the community resilience, while the newly built neighborhood (the Daxuenan neighborhood) in large cities exhibits the increased social alienation and diverse lifestyles of residents, which are expected to result in a lower level of community resilience. Finally, built-environment improvement should be stressed. Communities need to have the capacity to withstand external shocks and a resilient equilibrium before the arrival of external aid. However, not every community can activate their inner resilience, not only due to the vulnerability conditions but also because of the limitations of access to resources. The measurements of built-environment strategies include building and sustaining resilient critical infrastructures in the village community and optimizing urban planning when land use changes in the neighborhood and college community.
To sum up, the network evaluation system can not only rank the resilience indicators in a systematic way, it can also analyze the relevant importance of strategies that guide future community resilience development and planning. Our findings of resilience strategies expand the current understanding of community resilience to urban floods by considering the interdependence in the evaluation framework and try to provide policy implications for urban flood prevention. This fills an important gap in the literature.

Validation
Community resilience is identified as recovering from urban flood hazards quickly [41]. However, the loss data are difficult to obtain at the community scale. In order to validate the result of community resilience in this study, the indicators from the ANP model and the indicators from the AHP model were compared. AHP is a multi-dimension decision model and can be characterized as a meta-multicriteria method [42], which has been widely used in the previously published research on community resilience [32].
Among the indicators in the AHP model, the community resilience is measured by FDM and AHP in a hierarchy framework, in which the indicators are designed to be independent. According to Table 3, the hierarchy framework based on the simplified indicators in our study can be constructed, in which four dimensions and seven indicators were included. Then, the resilience scores in the study area were calculated by using the provided model. In the study, the pair-wise comparisons in the hierarchy were conducted based on the experts' judgement, and the investigation results for the three communities are shown in Figure 4. Finally, the priority vector was calculated by Equation (5), and the consistency was checked with the ANP model, as shown in Equations (3) and (4).
where A is the judgement matrix, and λ max is the maximum eigenvalue of A. As shown in Table 7, the overall normalized weights of the evaluation indicators for the neighborhood, college, and village community were obtained by the AHP model, as listed in Table 7. The neighborhood and college had a high level in OI2, with weights of 0.18 and 0.21, respectively. The vulnerable population, accuracy of weather forecasts, and individual capability reached 0.23, 0.23, and 0.18, respectively. The results of AHP are consistent with the results of the indicators from the ANP model. However, AHP is a hierarchy framework, in which the indicators are assumed to be independent and are only related to their upper hierarchy; Thus, the weights of the community resilience indicators were homogeneous. Take the neighborhood for example: the spatial structure of land use and relative management organizations both reached the maximum weight (0.18), while the rescue capability and accuracy of weather forecasts both had a weight of 0.15. Therefore, with the tiny difference in weight vectors calculated by the indicator AHP model, it is not easy for local governments to identify the dominating indicator for any neighborhood community. While ANP is a network framework, this model not only helps to rank the community indicators but can also find a more reliable weight based on interdependent relationships among resilience indicators. The results could provide guidance for urban flood management.
Overall, Table 8 suggests that both the ANP and AHP frameworks could measure the community resilience to urban floods, and the results of the provided indicators from the ANP model in this study are in accordance with those of previous models. The network community resilience framework constructed in this study can not only simplify the indicators and dimensions but can also convert the subjective correlation of indicators into a quantitative value of community resilience and show a more distinguished result. According to the limitations, the indicators were identified by FDM, and community resilience indicators and the improvement strategies were evaluated by ANP separately, as it is a systematic framework characterized by weight vectors. More effort should be focused on the identification of the characteristic factors when enhancing resilience. Resilience is a process more than a result. Further study should focus on the dynamic characteristics of community resilience to urban floods.

Conclusions
This study investigated the differences in community resilience to urban flooding in three types of communities, which can be applied to group decision-making methods in urban flood management. The fuzzy Delphi and ANP methods were applied to quantitatively identify the interdependence relationships among community resilience indicators and flood-relief strategies. Some major conclusions can be drawn as follows: 1.
With reference to the investigation results from the study area and experts' suggestions, public facilities (BE1), spatial structure of land use (BE2), relative management organizations (OI2), vulnerable population (SE1), individual capability (SE2), rescue capability (ST1), and accuracy of weather forecasts (ST2) were identified as indicators of community resilience to urban floods, and the combined effects of resilience indicators were measured. The results support the definition of community resilience to urban floods. Communities are expected to strengthen the public facilities and land structure to defend against urban flood hazards, relative management organization at the local level is required in response to urban floods, scientifically and quickly, neighbors in the community are suggested to improve their self-ability to reduce hazard losses, and the demographic characteristics of the community also influence the recovery from urban floods. All of the indicators affect the enhancement of community resilience to urban floods. Moreover, we quantified the interdependence correlations among the resilience indicators of urban floods and calculated weights in a systematic way. These procedures can be incorporated into a new framework, which can promote the evaluation of community resilience with multiple indicators.

2.
In this study, three typical communities were selected, which included a newly built neighborhood, an ancient college and a flood-prone village in Nanning, China. The neighborhood (with a total average score of 2.13) had the largest community resilience to urban flood, followed by the college (1.8), and finally, the village (0.91). The findings of this analysis shed light on the relationship between the type of community and resilience to urban floods. For example, the strength of the built-environment and the organization and institute dimension in the neighborhood community, with a high level of resilience in the science and technology dimension and social-economic status dimension for residents in the neighborhood, are strong predictors of community resilience. In other words, examining the types of community could enhance the community resilience effectively. Flood management organizations play a leading role in the urban flooding resilience of the neighborhood and college, while the vulnerable population has a great impact on the community resilience of the village.

3.
With reference to the strategies of the ANP model, we developed a theoretical framework to better understand the coupled system of community resilience to urban floods. Results of the strategy analysis indicate that science and technology improvement (0.543) is more important than social-economic status improvement (0.325) and built-environment improvement (0.132) for mitigating urban hazards in Nanning. As shown in the simplified indicator system, science and technology improvement is related to self-rescue ability and the accuracy of weather forecasts, which could ultimately drive the enhancement of the residents' perception of risks and responses to hazards when urban floods occur.
The differences in the three communities demonstrates the different access to resources and variations in the situations when urban flooding occurs. These proposals and ideas may point to future directions for flood risk management at the community scale and indicate effective measures in the various communities to enhance the resilience to urban floods.