Statistical and Spatial Analysis of Hurricane-induced Roadway Closures and Power Outages

: Hurricanes lead to substantial infrastructure system damages, such as roadway closures and power outages, in the US annually, especially in states like Florida. As such, this paper aimed to assess the impacts of Hurricane Hermine (2016) and Hurricane Michael (2018) on the City of Tallahassee, the capital of Florida, via exploratory spatial and statistical analyses on power outages and roadway closures. First, a geographical information systems (GIS)-based spatial analysis was conducted to explore the power outages and roadway closure patterns in the city including kernel density estimation (KDE) and density ratio di ﬀ erence (DRD) methods. In order to provide a more detailed assessment on which population segments were more a ﬀ ected, a second step included a statistical analysis to identify the relationships between demographic- and socioeconomic-related variables and the magnitude of power outages and roadway closures caused by these hurricanes. The results indicate that the high-risk locations for roadway closures showed di ﬀ erent patterns, whereas power outages seemed to have similar spatial patterns for the hurricanes. The ﬁndings of this study can provide useful insights and information for city o ﬃ cials to identify the most vulnerable regions which are under the risk of disruption. This can lead to better infrastructure plans and policies. to identify the impacts of Hurricane Hermine and Hurricane Michael on Tallahassee with a specific on roadway closures and power outages. As such, different datasets were used including socioeconomic, demographic, power, and roadway networks. Datasets related to the roadway network were obtained from Florida Department of Transportation and those related to power networks were provided by the City of Tallahassee. Furthermore, the roadway closures and power outages data were provided by the City of Tallahassee, through a mobile app called DigiTally (developed by City of Tallahassee, Tallahassee, USA) provides a platform for the residents that can directly connect with the City of Tallahassee. Through this app, residents can report an outage or request a service. the data that were to the demographic and socioeconomic are based on Community estimates [31]. In addition, emergency such as “Fire “Hospital”, and “Health Center”, were considered as part of the case study conducted in this [38]. value in Michael. These figures demonstrate that several areas in the city were affected in Hurricane Hermine and Michael; however, it discloses a different pattern for both hurricanes. The highest closure density in Hermine was observed around the city center and downtown Tallahassee. Different to Hermine, the city center and downtown roadways were not affected that much by Hurricane Michael. Two major arterials (namely, Thomasville Rd. and Monroe St.) that lead to Interstate 10 (I - 10) in the Northeast and Northwest of Tallahassee had the highest roadway closure densities because of Hurricane Michael. These roadways play important roles in providing transportation accessibility for the residents of the city to the interstate highway and critical facilities such as hospitals. Their closures can cause serious challenges in terms of accessibility for the people and could lead to a reduction in the efficiency of the whole roadway network. The findings also reveal that the areas in the southeastern part of the city were affected less by both hurricanes.


Introduction
The United States is among the five countries hit the hardest by natural disasters over the last decade [1]. According to the Federal Emergency Management Agency (FEMA), there have been 3728 nationally declared disasters between 1953 and 2018 in the US, including fires (1054), severe storms (923), floods (786), hurricanes (341), and tornadoes (164) [2]. In 2017 and 2018 only, these disasters led to more than 225 billion dollars of economic burden [3,4]. As such, FEMA suggests that, without considering efficient plans, these disasters will have more long-term impacts on communities as well as the economy [2]. Among these hazards, hurricanes, such as the Hurricane Hermine (2016), Hurricane Irma (2017), and Hurricane Michael (2018), have caused substantial infrastructure system damages, such as roadway closures and power outages, in the US, especially in the State of Florida [5,6].
The State of Florida has been exposed to 39 hurricanes, 22 severe storms, and 13 flooding cases since 1953 [2]. Accordingly, Florida ranks first for the number of houses at risk due to the occurrence of these storms and hurricanes, especially because of its long coastline with approximately 2.5 million homes along it and the highest total reconstruction cost with nearly $490 billion [7]. These hazards disrupt the roadway networks (e.g., roadway and bridge closures) and reduce the efficiency of transportation networks [4,5]. For example, Hurricane Irene caused $65 million damage to the Vermont transportation network in 2011 [8]. Also, in 1992, Hurricane Andrew caused 1.4 million Florida customers (44%) to lose power [9]. Recently, Hurricane Michael (2018) left approximately 97% of electric utility customers without electricity in the City of Tallahassee, the capital of Florida. Two years prior to Hurricane Michael, approximately 80% of Tallahassee's electrical system was affected by Hurricane Hermine which represents 100,000 customers in the city [10][11][12]. Furthermore, Hermine caused a substantial amount of roadway closures due to the presence of fallen trees in a one-week window in the City of Tallahassee [5,13].
In the literature, there are several studies that have investigated the consequences of hurricanes on a city's infrastructure systems [14][15][16][17][18][19]. For example, Davidson et al. [20] investigated the performance of power systems during five hurricanes in North and South Carolina. They examined the relationship between hurricane disruptions and environmental factors such as rainfall, land cover, and maximum wind speed. Demiroluk and Ozbay [21] developed spatial and statistical models to predict the downed trees during two hurricanes in New Jersey. Their results showed that roadway density and maximum wind speed were the most effective variables regarding downed trees probability. There are also several studies that developed statistical models to predict the number of power outages due to the fact of extreme weather events such as hurricanes [22,23]. For example, Reed [24] developed a linear regression model in order to predict power outages due to the fact of windstorms in Seattle. In a similar study, negative binomial regression-based approaches were used to predict hurricane-related outages in North and South Carolina [25]. Eskandarpour and Khodaei [26], on the other hand, applied logistic regression to predict power grid outages in response to an imminent hurricane. Similarly, Han et al. [27] developed a regression model, namely, the generalized additive model (GAM), to estimate power outages during an approaching hurricane. Also, Guikema et al. [28] developed a spatially generalized model to predict hurricane-induced power outages; however, this model has some limitations such as considering maximum 3 s wind gust. This model was used for Hurricane Sandy. As hurricanes are rare events, none of these studies were able to compare multiple hurricanes with a focus on both power grid and roadway networks together. Many of these studies also did not have real-life power outages and roadway closures to test their models on.
Recently, Ulak et al. [5] investigated the effects of Hurricane Hermine on Tallahassee in terms of power outages using spatial and statistical models. The findings showed that the areas with more senior populations (65+) were highly affected with respect to infrastructure failures. Also, higher-income families were affected less in comparison to other groups, and there was an inverse relationship between power outages and family income. In a similar study, Kocatepe et al. [29] proposed a metric, namely, the Accessibility Decrease Index (ADI) to determine the areas with reduced accessibility to emergency facilities due to the presence of roadway closures before and after Hurricane Hermine in Tallahassee. Also, they conducted a convolutional neural network (CNN) approach to predict the probability of future hurricane-induced roadway closures. In another study, Sultan and Hilton [30] conducted a spatial analysis via GIS techniques to investigate the power outages due to the fact of different events such as tree falling on power lines and weather conditions. Based on the research gap identified in the literature, this paper proposes the use of GIS in order to identify those locations likely to have high power outages and roadway closure risks with a focus on the City of Tallahassee. A key goal is to produce visual confirmation of event clusters on maps. To the authors' knowledge, there has not been any previous research done specifically focusing on the spatial patterns of power outages and roadway closures involving real-life hurricane data. With this motivation, this exploratory study focuses on identifying and analyzing the locations that pose a high risk of outages and closures for different locations in the city using GIS-based spatial methods, including kernel density estimation (KDE) and density ratio difference (DRD) methods. Observing the need to delve into hurricanes' impact on communities, a multiple linear regression model was Energies 2020, 13, 1098 3 of 18 also developed in order to see which population segments were affected more as a result of the hurricane-induced power outages and roadway closures. This is the key contribution of the paper, which is an important first step towards understanding these dynamics.
The objectives of this paper were: (a) to study roadway closures and power outages in the City of Tallahassee via a comparative assessment of Hurricane Hermine's (2016) and Michael's (2018) impact on these infrastructure networks; (b) to present a GIS-based spatial analysis through the development of the DRD metric which enables a spatial comparison of both hurricane impacts on different sections of the city; and (c) to observe the spatial differences on the impact of hurricanes, a more detailed statistical analysis was conducted through a multiple linear regression model by incorporating factors on socioeconomics and demographics. This analysis can provide more detailed information on which population segments are affected more from power outages and roadway closures. Note also that, real-life power outage and roadway closure data are usually not available due to the lack of interest from private power companies. However, the City of Tallahassee owns its utility services and was willing to share the data under an agreement with the university. The following sections will describe the proposed methodology and results in detail.

Methodology
This study consisted of three distinct steps to assess and explore the impact of Hurricane Hermine and Hurricane Michael on the City of Tallahassee: spatial and statistical analyses of power outages and roadway closures. The first step included the collection of the data for power outages and roadway closures from the City of Tallahassee. The second step spatial analysis included: (a) data collection for the infrastructure network components, (b) utilizing a series of spatial analytic methods to explore the power outages and roadway closures patterns, including the KDE method to identify the most affected areas due to the fact of Hurricane Hermine and Hurricane Michael, and (c) the DRD in order to understand how the effects of Hermine and Michael are different for the city and assess the differences in locations where power failures and roadway closures were experienced. Following the spatial analysis, a statistical analysis was conducted to comprehend the complexity of power outages and roadway closures in both hurricanes. In this final step, a multiple linear regression (MLR) model was developed to assess the association between hurricane-induced roadway closures and power outages (dependent variables) and demographics-, socioeconomics-, and transportation-related variables (explanatory variables) for both hurricanes. It is important to note that roadway closure in this paper is defined as follows: At least one lane was closed due to the fact of a hurricane. All the above mentioned steps are explained in detail in the following sections.

Study Area and Data Description
The City of Tallahassee, the capital of Florida, was selected for the proposed case study in this paper. According to the 2017 Census estimates, the population of Tallahassee is more than 190,000, and it is the largest city in the Florida Panhandle region [31]. Tallahassee is also home to several universities including Florida State University and Florida Agricultural and Mechanical University which are located around the city center toward the east. The study area is shown in Figure 1. Tallahassee was hit by three major hurricanes since 2016. These events, namely, Hurricane Hermine (September 2016), Hurricane Irma (September 2017), and Hurricane Michael (October 2018) [1,26,27] were among the most significant ones to ever hit the United States. As a result of these extreme events, a substantial amount of roadway closures and power outages was reported due to the downed trees and power lines in the whole city [1,11]. Note that, although Hurricane Irma was one of the most powerful hurricanes in history, it did not hit Tallahassee directly. The most substantial damages to the power and roadway network infrastructure in Tallahassee were due to hurricanes Hermine and Michael [32][33][34]. Figure 2 shows the radar images and paths of these hurricanes over Tallahassee and as observed, the direction of these hurricanes were different [35,36]. It should be noted that DBZ in Figure 2 stands for decibels Energies 2020, 13, 1098 4 of 18 of z in which the higher values of DBZ show that the returned power to radar was large, and small values represent less returned energy.
This paper aimed to identify the impacts of Hurricane Hermine and Hurricane Michael on Tallahassee with a specific focus on roadway closures and power outages. As such, different datasets were used including socioeconomic, demographic, power, and roadway networks. Datasets related to the roadway network were obtained from Florida Department of Transportation and those related to power networks were provided by the City of Tallahassee. Furthermore, the roadway closures and power outages data were provided by the City of Tallahassee, through a mobile app called DigiTally (developed by City of Tallahassee, Tallahassee, USA) [37]. DigiTally provides a platform for the residents that can directly connect with the City of Tallahassee. Through this app, residents can report an outage or request a service. Moreover, the data that were related to the demographic and socioeconomic are based on 2013-2017 American Community Survey (ACS) Census estimates [31]. In addition, different emergency facilities, such as "Fire Station", "Hospital", and "Health Center", were considered as part of the case study conducted in this paper [38]. This paper aimed to identify the impacts of Hurricane Hermine and Hurricane Michael on Tallahassee with a specific focus on roadway closures and power outages. As such, different datasets were used including socioeconomic, demographic, power, and roadway networks. Datasets related to the roadway network were obtained from Florida Department of Transportation and those related to power networks were provided by the City of Tallahassee. Furthermore, the roadway closures and power outages data were provided by the City of Tallahassee, through a mobile app called DigiTally (developed by City of Tallahassee, Tallahassee, USA) [37]. DigiTally provides a platform for the residents that can directly connect with the City of Tallahassee. Through this app, residents can report an outage or request a service. Moreover, the data that were related to the demographic and socioeconomic are based on 2013-2017 American Community Survey (ACS) Census estimates [31]. In addition, different emergency facilities, such as "Fire Station", "Hospital", and "Health Center", were considered as part of the case study conducted in this paper [38].

Hurricane-induced Roadway Closures and Power Outages Assessment
Roadway and power networks are considered multi-layer infrastructure networks, and they are interdependent. For instance, downed trees might cause both roadway closures and power outages. In other words, they increase the outage restoration time by creating difficulties for utility crews to access the disrupted power lines [16]. Thus, assessing the efficiency of these networks should be conducted through a multi-network framework which considers both networks. Figure 3a and 3b show the power and roadway networks in the City of Tallahassee, respectively. In addition, Figure 3c displays the emergency facilities spatially, whereas Figure 3d and f shows the spatial distribution for total population and two vulnerable population segments, young and senior populations, in Tallahassee. In the next step, the roadway closure and power outage density maps were created using the KDE approach and ArcGIS software for both hurricanes Hermine and Michael [5]. Note that in order to apply the KDE analysis, it was necessary to choose a bandwidth. According to the literature, bandwidths with a range of 50 m to 300 m are suggested for an urban network [31,32]. On the other hand, bandwidths around 1000 m are considered as suitable in rural areas [39][40][41]. Also, there are different types of kernel functions such as normal and uniform. However, bandwidth selection has a significant effect on density estimation in comparison to the effect of kernel function [42]. As such, a bandwidth of 200 m was

Hurricane-induced Roadway Closures and Power Outages Assessment
Roadway and power networks are considered multi-layer infrastructure networks, and they are interdependent. For instance, downed trees might cause both roadway closures and power outages. In other words, they increase the outage restoration time by creating difficulties for utility crews to access the disrupted power lines [16]. Thus, assessing the efficiency of these networks should be conducted through a multi-network framework which considers both networks. Figure 3a,b show the power and roadway networks in the City of Tallahassee, respectively. In addition, Figure 3c displays the emergency facilities spatially, whereas Figure 3d,f shows the spatial distribution for total population and two vulnerable population segments, young and senior populations, in Tallahassee. In the next step, the roadway closure and power outage density maps were created using the KDE approach and ArcGIS software for both hurricanes Hermine and Michael [5]. Note that in order to apply the KDE analysis, it was necessary to choose a bandwidth. According to the literature, bandwidths with a range of 50 m to 300 m are suggested for an urban network [31,32]. On the other hand, bandwidths around 1000 m are considered as suitable in rural areas [39][40][41]. Also, there are different types of kernel functions such as normal and uniform. However, bandwidth selection has a significant effect on Energies 2020, 13, 1098 6 of 18 density estimation in comparison to the effect of kernel function [42]. As such, a bandwidth of 200 m was selected for the study area. This methodology was utilized to investigate the most vulnerable areas to hurricanes in terms of roadway closures and power outages in the City of Tallahassee.
Energies 2020, 13, 1098 6 of 18 selected for the study area. This methodology was utilized to investigate the most vulnerable areas to hurricanes in terms of roadway closures and power outages in the City of Tallahassee.   In order to understand the spatial patterns of the hurricanes' impacts on the city in terms of power outages and roadway closures, a comparative difference density analysis was used through the DRD parameter which was first developed in Reference [40]. The DRD parameter evaluates the difference between the normalized roadway closures and power outages density ratios for Hurricane Hermine and Michael, respectively. The DRD is a useful index to identify and investigate hotspots. For example, based on the calculation of normalized roadway closure densities, roadway closures density maps of Hurricane Michael were subtracted from the roadway closures density maps of Hurricane Hermine. The same idea was used for power outage densities with a focus on both hurricanes. Therefore, the DRD index reveals the relatively different locations on the area which provides even more explicit visual results in terms of geo-spatial differences between two different hurricanes. The formula of the DRD metric is shown as follows (Equation (1)): where DRD ij is the "density ratio difference" between the compared maps i and j, whereas D i and D j are the density values of the corresponding pixels, and max(D i ) and max D j are the maximum pixel density values of the compared maps, respectively. Figure 6a,b display the density ratio differences between Michael and Hermine in terms of power outages and roadway closures, respectively. The results of the spatial analysis are provided in the Results and Discussions section.

Statistical Analysis
As previously stated, multiple linear regression models, one of the most common regression techniques, were developed to investigate the impacts of Hurricane Hermine and Michael on the City of Tallahassee and to identify the association between several socioeconomics-, demographics-, and transportation-related variables and power outages and roadway closures induced by these hurricanes. Equation (2) shows the general form of a multiple linear regression model: where β 0 is the intercept term, x i , i = 1, 2, . . . , n are the independent variables, β i are the regression coefficients, and y is the response variable. Table 1 lists the independent variables utilized in the statistical model along with their definitions. In the current study, four different scenarios were defined: (a) Hurricane Hermine-induced power outages, (b) Hurricane Michael-induced power outages, (c) Hurricane Hermine-induced roadway closures, and (d) Hurricane Michael-induced roadway closures. In the first step of the statistical analysis, the Pearson correlation coefficients between independent variables were obtained. Figure 4 shows the correlations between these variables. It should be noted that the dependent variables of the models are the total number of segments in the city network which experienced power outages and roadway closures due to Hurricane Hermine and Hurricane Michael. A segment here is defined as the power line for the power network, and the roadway link for the transportation network. Finally, the potential models were tested based on the backward stepwise method in order to obtain the final model along with the corresponding variables for each scenario. The findings of statistics-based analyses are summarized in Tables 2-5 for hurricane-induced power outages and roadway closures. The results of the regression models are provided in the Results and Discussions section.

Hurricane-induced Roadway Closures and Power Outages Assessment
As discussed in the previous sections, a GIS-based spatial analysis was conducted in this study to identify the most affected areas in the City of Tallahassee due to the fact of Hurricane Hermine and Michael with a focus on roadway closures and power outages. Figure 5 illustrates these power outages and roadway closures density maps of the city due to Hurricane Hermine and Michael. The most affected areas due to these hurricanes and power outages and roadway closures locations were identified in order to understand if customers affected by outages and closures were spatially clustered at particular regions or if they were dispersed. Figure 5a,b show the power outage patterns of Hurricane Hermine and Michael, respectively. In these figures, the higher the value of density, the higher the number of power outages caused by both hurricanes in those areas which is shown by the red color. As seen, the highest value of density in Hurricane Michael-induced power outages was greater than the corresponding value in Hurricane Hermine. These figures reveal that the power outages approximately had the same density pattern for both hurricanes Hermine and Michael and almost all sections of the city were affected by these hurricanes. More specifically, the highest power outage densities were observed in the city center so that residents who were living around the city center experienced the highest number of power outages. Similarly, Figure 5c,d reveal the roadway closures patterns in the city due to the fact of Hurricane Hermine and Michael, respectively. The regions with a higher number of roadway closures are shown by the red color. In contrast to power outages, the highest value of density in Hurricane Hermine-induced roadway closure was greater than the corresponding value in Michael. These figures demonstrate that several areas in the city were affected in Hurricane Hermine and Michael; however, it discloses a different pattern for both hurricanes. The highest closure density in Hermine was observed around the city center and downtown Tallahassee. Different to Hermine, the city center and downtown roadways were not affected that much by Hurricane Michael. Two major arterials (namely, Thomasville Rd. and Monroe St.) that lead to Interstate 10 (I-10) in the Northeast and Northwest of Tallahassee had the highest roadway closure densities because of Hurricane Michael. These roadways play important roles in providing transportation accessibility for the residents of the city to the interstate highway and critical facilities such as hospitals. Their closures can cause serious challenges in terms of accessibility for the people and could lead to a reduction in the efficiency of the whole roadway network. The findings also reveal that the areas in the southeastern part of the city were affected less by both hurricanes.

Hurricane-induced Roadway Closures and Power Outages Assessment
As discussed in the previous sections, a GIS-based spatial analysis was conducted in this study to identify the most affected areas in the City of Tallahassee due to the fact of Hurricane Hermine and Michael with a focus on roadway closures and power outages. Figure 5 illustrates these power outages and roadway closures density maps of the city due to Hurricane Hermine and Michael. The most affected areas due to these hurricanes and power outages and roadway closures locations were identified in order to understand if customers affected by outages and closures were spatially clustered at particular regions or if they were dispersed. Figures 5a and b show the power outage patterns of Hurricane Hermine and Michael, respectively. In these figures, the higher the value of density, the higher the number of power outages caused by both hurricanes in those areas which is shown by the red color. As seen, the highest value of density in Hurricane Michael-induced power outages was greater than the corresponding value in Hurricane Hermine. These figures reveal that the power outages approximately had the same density pattern for both hurricanes Hermine and Michael and almost all sections of the city were affected by these hurricanes. More specifically, the highest power outage densities were observed in the city center so that residents who were living around the city center experienced the highest number of power outages. Similarly, Figures 5c and d reveal the roadway closures patterns in the city due to the fact of Hurricane Hermine and Michael, respectively. The regions with a higher number of roadway closures are shown by the red color. In contrast to power outages, the highest value of density in Hurricane Hermine-induced roadway closure was greater than the corresponding value in Michael. These figures demonstrate that several areas in the city were affected in Hurricane Hermine and Michael; however, it discloses a different pattern for both hurricanes. The highest closure density in Hermine was observed around the city center and downtown Tallahassee. Different to Hermine, the city center and downtown roadways were not affected that much by Hurricane Michael. Two major arterials (namely, Thomasville Rd. and Monroe St.) that lead to Interstate 10 (I-10) in the Northeast and Northwest of Tallahassee had the highest roadway closure densities because of Hurricane Michael. These roadways play important roles in providing transportation accessibility for the residents of the city to the interstate highway and critical facilities such as hospitals. Their closures can cause serious challenges in terms of accessibility for the people and could lead to a reduction in the efficiency of the whole roadway network. The findings also reveal that the areas in the southeastern part of the city were affected less by both hurricanes.

Power Outage and Roadway Closure Density Ratio Differences (DRDs) between Hurricane Hermine and Michael
In order to understand how the impacts of Hermine and Michael were different for the city and to assess the differences in the areas affected by roadway closures and power outages, DRD metric values were obtained for both closures and outages. Figure 6a displays the power outage density ratio differences between Hurricane Michael and Hermine in Tallahassee. The higher value of difference, the higher number of power outages caused by Hurricane Michael in those regions. Based on the findings, it can be concluded that the areas around the city center were impacted by both hurricanes, and there were not many differences. However, it seems Hurricane Michael had a more significant impact on the city, since the difference in the values is higher towards the positive values. However, there were some other regions in the east, northeast, and northwest of Tallahassee that experienced more power outages because of Hurricane Michael which is shown by the purple color.
Similarly, Figure 6b shows the roadway closure density ratio difference between hurricanes Michael and Hermine in the city. Similar to Figure 6a, the areas with the higher value of difference reveals that those areas were affected more by Michael in terms of roadway closures, and vice versa. We observe that Hurricane Michael caused more roadway closures around the city border and especially in northeast and northwest Tallahassee (shown clearly with the red color). As discussed before, two major corridors were completely closed during Hurricane Michael, and they affected those areas adversely. In contrast to Michael, Hermine affected the city center drastically and several roadway closures occurred in these regions. This indicated that every hurricane has unique characteristics and the city infrastructure should still be resilient enough to serve those people in the affected areas. This can possibly be achieved by roadway modification and landscaping. Note that roadway closures happen generally due to the fact of fallen trees or pole as opposed to power outages which can happen both because of fallen trees as well as a failure at the substation which can impact the entire power grid.

Power Outage and Roadway Closure Density Ratio Differences (DRDs) between Hurricane Hermine and Michael
In order to understand how the impacts of Hermine and Michael were different for the city and to assess the differences in the areas affected by roadway closures and power outages, DRD metric values were obtained for both closures and outages. Figure 6a displays the power outage density ratio differences between Hurricane Michael and Hermine in Tallahassee. The higher value of difference, the higher number of power outages caused by Hurricane Michael in those regions. Based on the findings, it can be concluded that the areas around the city center were impacted by both hurricanes, and there were not many differences. However, it seems Hurricane Michael had a more significant impact on the city, since the difference in the values is higher towards the positive values. However, there were some other regions in the east, northeast, and northwest of Tallahassee that experienced more power outages because of Hurricane Michael which is shown by the purple color.
Similarly, Figure 6b shows the roadway closure density ratio difference between hurricanes Michael and Hermine in the city. Similar to Figure 6a, the areas with the higher value of difference reveals that those areas were affected more by Michael in terms of roadway closures, and vice versa. We observe that Hurricane Michael caused more roadway closures around the city border and especially in northeast and northwest Tallahassee (shown clearly with the red color). As discussed before, two major corridors were completely closed during Hurricane Michael, and they affected those areas adversely. In contrast to Michael, Hermine affected the city center drastically and several roadway closures occurred in these regions. This indicated that every hurricane has unique characteristics and the city infrastructure should still be resilient enough to serve those people in the affected areas. This can possibly be achieved by roadway modification and landscaping. Note that roadway closures happen generally due to the fact of fallen trees or pole as opposed to power outages which can happen both because of fallen trees as well as a failure at the substation which can impact the entire power grid. Similarly, for the roadways, more red areas indicate those that Michael affected more than Hermine, whereas the opposite is valid for more blue areas.

Hurricane Hermine-and Hurricane Michael-induced Power Outages
The results of statistical analyses for Hurricane Hermine-and Hurricane Michael-induced power outages are provided in Tables 2 and 3, respectively. In the tables, "Coefficient" values show the positive and negative effects of an independent variable on the response variable. "Standard Error" Figure 6. Density ratio difference between Michael and Hermine: (a) power outages; (b) roadway closures. Note that for power outages, higher densities of power outages caused by Michael are indicated in purple. For those areas with more cyan color, on the other hand, Hermine caused more damages than Michael. Similarly, for the roadways, more red areas indicate those that Michael affected more than Hermine, whereas the opposite is valid for more blue areas.

Hurricane Hermine-and Hurricane Michael-induced Power Outages
The results of statistical analyses for Hurricane Hermine-and Hurricane Michael-induced power outages are provided in Tables 2 and 3, respectively. In the tables, "Coefficient" values show the positive and negative effects of an independent variable on the response variable. "Standard Error" estimates the standard deviation of the coefficients in the model. That is, it measures the precision of the model. Also, "p-values" reveal the significance level of different variables on the response variable. In this study, we considered three different significance level including 90%, 95%, and 99%. For each variable, the level of significance has been determined based on the corresponding p-value. Based on the results, five variables seem to have statistically significant effects on power outages induced by Hurricane Hermine at the significance level of 90% (Table 2). Similarly, five variables are statistically significant with respect to power outages in Hurricane Michael (Table 3). "Land Area (km 2 )" variable is not statistically significant even though it has a negative coefficient for Hurricane Hermine-induced power outages. However, this variable has significant effects on power outages due to Hurricane Michael. This indicates that people living in a census block group with larger land areas were affected more by power outages caused by Hurricane Michael. "Average Household Size" variable has a large negative coefficient for both hurricanes. That is, census block groups with larger families experienced less power outages in both hurricanes. Another interesting finding is that "College Degree (%)" with its negative coefficient is statistically significant for Hurricane Hermine. That is, census block groups where more educated people are living suffered power outages less than the other regions in Hurricane Hermine. One explanation for this finding might be the fact that these residents usually have higher income and live in the areas of the city with more developed infrastructure systems. Moreover, "Transportation Mode: Walk (%)" parameter reveals that census block groups with higher percentage of people who walk for travel purposes suffered power outages less in Hermine in comparison to the people who use other modes of transportation.
"African American (%)" variable, on the other hand, shows a different pattern with regards to its positive coefficient in Michael. This means that, census block groups where higher number of African American populations are living suffered roadway closures more than other locations. Also, "Total Length of Underground Power Lines" and "Total Length of Overhead Power Lines" variables are statistically significant with respect to their positive coefficients for power outages. These variables disclose that the longer the power lines, the higher the power outages. As seen in Tables 2 and 3, positive coefficients of overhead power lines are much larger than underground power lines for both hurricanes. This means that the areas in the city with more overhead lines are more vulnerable to hurricane-induced power outages which is an intuitive finding. As seen in Figure 3a, most of the power lines and more specifically, overhead power lines are distributed around the city center and as stated earlier, the areas around the city center suffered more power outages rather than other regions (Figure 5a,b). Based on the findings for both hurricanes, it can be concluded that power outages are highly associated with the "Total Length of Underground Power Lines" and "Total Length of Overhead Power Lines" variables for both hurricanes Hermine and Michael.

Hurricane Hermine-and Hurricane Michael-induced Roadway Closures
The results of the statistical models for Hurricane Hermine and Michael induced roadway closures are summarized in Tables 4 and 5. According to the obtained results, five variables are statistically significant regarding the Hurricane Hermine-induced roadway closures in the city (Table 4). Also, five variables have significant effects on roadway closures caused by Hurricane Michael (Table 5). Similar to Hurricane Hermine-induced power outages, the same assessment holds for "Land Area (km 2 )" and "Average Household Size" variables for Hermine-induced roadway closures. Additionally, "African American (%)" parameter indicates that census block groups with higher percentage of African American populations were affected more by roadway closures in Hermine. "Young (18-21) (%)" variable reveals a different pattern due to its negative coefficient in the case of Hurricane Michael. That is, census block groups where higher percentage of young (18)(19)(20)(21) population are living suffered roadway closures less in Michael. According to Figures 3e and 5d, this result was expected. Also, "Total Length of Overhead Power Lines" variable had statistically significant impacts on roadway closures induced by both hurricanes. This indicates that the longer the power lines, the higher the roadway closures. Similarly, "Total Length of Underground Power Lines" was statistically significant at a significance level of 90% for roadway closures caused by Michael. However, the findings reveal that "Total Length of Underground Power Lines" was not statistically significant for the case of Hurricane Hermine. A comparison between Figures 3a and 5c discloses that most of the overhead power lines are clustered in the areas of the city where more roadway closures were reported in Hurricane Hermine. Another interesting finding is that "Emergency Facility Area" with its positive coefficient was statistically significant in Hurricane Hermine. That is, census block groups closer to critical facilities experienced roadway closures more than other areas. As seen in Figure 3c, most of these facilities are distributed around the city center and the areas around the city center (where critical facilities are located generally) suffered more roadway closures rather than other regions in the case of Hermine (Figure 5c). "Built After 2014 (%)" shows that census block groups with higher percentage of housing units built 2014 or later suffered more roadway closures caused by Michael. "Disability (%)" variable, on the other hand, shows a different pattern due to its negative coefficient. That is, census block groups with a higher percentage of people (20-64 Years) with a disability were less affected by the roadway closures due to Michael.

Final Discussion of the Results
The spatial model results indicated that the high-risk locations for roadway closures showed different patterns for the two hurricanes. Roadways around the downtown suffered substantially during Hermine, whereas roadway closures did not show specific clusters for Michael. On the other hand, power outages seem to have similar spatial patterns for both hurricanes with the significant impacts on residents living around the city center. However, the spatial results obtained may not guarantee that the high-risk locations found possess statistical significance. In addition, the visual results do not provide any information on which population segment has been impacted more than others. A regression analysis, on the other hand, enabled us to interpret which communities were impacted more by the hurricanes in the city via the introduction of demographics-and socioeconomics-related variables in the regression model.
The information gained by statistical models showed that census block groups where higher percentage of educated people were living suffered power outages less in Hurricane Hermine. The results also revealed that there were more power outages where the length of power lines was larger, and census block groups with overhead power lines were more vulnerable to power outages in both hurricanes. On the other hand, census block groups with larger families experienced less power outages than other areas. In terms of roadway closures, the results revealed that African American population suffered more roadway closures in Hermine. Similar to power outages in both hurricanes, longer overhead power lines were associated with increasing roadway closures. Also, census block groups where young (18)(19)(20)(21) populations were living were less affected by roadway closures caused by Hurricane Michael. The findings of this study reveal the critical locations of the city that are under risk of disruption due to the fact of hurricanes which can enable emergency and city officials to make accurate estimations and identify the most vulnerable areas with a specific focus on roadway closures and power outages in order to alleviate future disruptions. This might be obtained by deploying the restoration equipment and personnel closer to these areas or establishing new emergency response facilities.
As a possible impact on developing urban development policies, the findings of this study can help delineate the areas and the residents in the city that are under high risk of disruptions caused by hurricanes. This type of analysis can help planners and emergency officials develop better strategies in identifying critical and less resilient regions and make accurate estimations for targeted locations. This information can be utilized to improve emergency response and urban development plans by identifying and building the optimal roadway infrastructure which can help provide alternative emergency routes to public in the case of a hurricane.

Conclusions and Future Work
In this study, the impacts of Hurricane Hermine (2016) and Hurricane Michael (2018) on the City of Tallahassee were assessed using GIS-based spatial and statistical analyses. Spatial analysis was conducted via a series of spatial analytic methods to explore the power outages and roadway closures patterns including the KDE and the DRD methods. The latter was specifically utilized in order to understand how the impacts of Hermine and Michael were different for the city and to assess the differences in locations where power failures and roadway closures were experienced. Statistical analysis, on the other hand, was performed to provide critical information about the relationship between the magnitude of power outages and roadway closures induced by these hurricanes and different socioeconomics-, demographics-, and transportation-related variables.
The results of this analysis indicate the following: (a) density ratio approach clearly indicates that outage and closure maps for the hurricanes have different geo-spatial patterns, (b) a substantial amount of power outages and roadway closures happened around the center of Tallahassee, and (c) vulnerable population segments based on income and ethnicity suffered more from outages and closures. These are important findings which basically separates those population groups from others. This knowledge can allow planners and engineers to focus on those high-risk areas for safety-focused intervention efforts to assist populations in need of power and accessibility. This can also help increasing the efficiency of the emergency operations towards obtaining better policies and plans that focus on populations at risk.
As a future work, the effects of downed trees on the transportation and power networks can be considered. Also, studying the problem temporally and looking at different temporal patterns of solving the power outage and roadway closure problems is a good direction of future research to consider. Furthermore, this study could be extended to using other methods such as Bayesian models to predict the power outages and roadway closures based on different predictors. Also, using particle filtering or Kalman filtering (linear quadratic estimation), the information related to hurricane's track can be added to the model [43][44][45].
There are several limitations to this study. For instance, as stated in the "Study Area and Data Description", the roadway closures and power outages data were obtained via DigiTally mobile app in which the city residents can report the outages or closures online. Hence, there is a possibility that some closures or outages in the city were not reported by the residents and this can indicate some missing closure and outage data. Moreover, hurricane path as well as wind speed and direction are other variables that can affect power outages and roadway closures and have not been considered in this paper due to data availability. This is especially critical to have a more accurate measure of the hurricane's impact on roadway and power grid. As a future study, the impact of hurricane track, wind speed, and direction on power outages and roadway closures will be investigated when the data are available. In addition, to further understand the actual impact of the hurricane, high-risk locations should be studied in more detail. Funding: This project was partially sponsored by the US NSF award 1832068.