Collaborative Research: Agent-Based Modeling of Hurricane Evacuation Decision-Making I. Objectives This research will develop an agent-based model (ABM) of hurricane evacuation decisionmaking founded on the latest theoretical and empirical research into the socio-cognitive aspects of evacuation behavior. In doing so, three major hypotheses will be examined: (i) synthesizing existing statistical models of evacuation in an ABM framework allows them to be applied in new contexts; (ii) households’ evacuation decisions will trend together based on identity and social network, and these trend groups will correspond to clusters of model agents with similar evacuation narratives; and (iii) social network connectivity is a significant influence on the homogeneity of evacuation response within a subpopulation. Evacuation is a major component of hurricane response and is the most effective strategy in mitigating human mortality related to hurricanes. Many of the policy options that can have a significant effect on evacuation decisions and timing are influenced by traffic curves (functions that describe the number of evacuees on the road at any given time). While sophisticated models of evacuation traffic exist, the assumptions they make about the demand curves generating that traffic are frequently far less sophisticated. Those demand models that can accurately reproduce observed evacuation behavior are empirical in nature and difficult to translate to other locales and events, while models of the individual decision processes that generate traffic demand tend either to assume homogeneity of agency and response across a region, or to be formulated in terms that are tied to the demographics of the region. However, as was learned with Hurricanes Rita and Katrina, many groups that are similar in terms of geographic vulnerability will not only respond differently to risk, but also have different ability to respond. Further, that evacuation choice is typically decided not at the individual level, but at the level of the household or social group. Existing models do not capture the dependency of differential response on the details of local demographics. Agent-based modeling provides a robust methodology for addressing this problem of generalization. The proposed model represents decision-makers, at the household level, as independent software entities. This approach scales well to different population sizes and distributions of subpopulation attributes; can capture emergent phenomena such as the cumulative, collective influence of independent decisions within a social network; and is a natural way of mapping the problem from the physical world to the realm of simulation, representing correlations between demographics, geography, behavior, and decision-making in a natural and realistic way. In addition, this approach supports simulation of alternative evacuation policies such as public information strategies and organization of community-based evacuation networks. Building on the results of Gladwin, Gladwin, and Peacock’s 2001 survey-based ethnographic model [1] of the evacuation decision process, focus groups will be used to further elucidate the decision-making algorithms used in evacuation. The agents will enact these decisions within a temporal event structure compatible with the state-of-the-art empirical dynamic travel demand model of Fu and Wilmot 2006 [2], which generates an evolving statistical description of evacuation decisions. Using an agent-based framework to meld and generalize these two approaches will result in a model that is consistent with the empirical models, but also provides enhanced insight into the factors and interactions of factors affecting evacuation decisions. The ABM will also make explicit some of the implicit factors in each of these models, in particular the social networks that link individuals and households for communication and provide them 1 with access to opinion leaders. This opens the door for broader study and more intuitive understanding of evacuation behavior, and may allow emergency planners to more effectively anticipate and manage the demand-side aspects of hurricane evacuations and to more appropriately target risk communication. The proposed research will develop the computer simulation; conduct focus group studies on evacuation decision-making to inform, refine, and validate the computer model; use modern experimental designs to analyze the sensitivity of the model to different demographic and circumstantial factors, developing understanding of their importance in policy-relevant ways; apply the model to simulate the effects of alternative policies; and convene a cross-disciplinary student seminar to communicate and explore the results from multiple perspectives. II. Background & Significance Transportation planning/engineering models of evacuation, which are becoming increasingly sophisticated, are hampered by relatively primitive demand models. This mismatch in the quality and resolution of models limits opportunities for improving crisis management in evacuations. Two key points of leverage are (i) understanding how to constructively influence demand, and (ii) providing more efficient egress from impacted areas. Transportation planning/engineering models address the latter point, and demand models of commensurate resolution and responsiveness are needed to drive these transportation models. Existing evacuation demand models (i) are not explanatory of the factors affecting evacuation decisions, (ii) are not responsive to policy inputs, (iii) fail to explicitly account for crucial sociodemographic differences and social structures (e.g., social networks), (iv) ignore information dissemination and flow, (v) cannot be transferred geographically or temporally to different evacuations, and (vi) fail to quantify uncertainty. However, the best of them can successfully reproduce individual evacuation decisions as elicited by post-storm interviews [1] and approximate the collective time-dependent observed evacuation-departure times at a coarse level [2]. Agent-based methods have proven useful for understanding the collective dynamics of large groups of individuals engaged in similar behaviors or sharing a similar identity [3]. They are especially useful for the study of emergence, which is when a complex group behavior results from the interaction of simple individual rules. Examples of emergent behavior include traffic jams [4], flocking in fish and birds [5], and foraging in ants [6]. Agent-based modeling has also been successfully applied to the study of human movement in building evacuations [7], yielding operational knowledge that can be used to enhance survivability in an emergency. Ideally, evacuation-demand models should be informed by the latest research in social and cognitive theory. Moreover, with a sound research foundation of this kind, evacuation models can more reliably predict responses to policy inputs. Responses to evacuation policies are formed through social practices and cognitive processes. Demand-based models of evacuation policy have not been sufficiently sensitive to social and behavioral variation, and in many cases have failed to capture critical characteristics of population groups facing natural disasters. A unified approach, which integrates social and behavioral research, agent-based demand models and policy simulations, will help decision-makers in the public realm create more effective evacuation policies. A. Determinants of Evacuation Behavior Central to appropriate transportation planning for evacuation is accurately gauging the demand for roadway usage—that is, accurately accounting for the number of vehicles that will be in transit on the roadways at any given time in the evacuation process. A number of evacuation 2 studies conducted under the aegis of the Army Corps of Engineers and Federal Emergency Management Agency (FEMA) have consistently called for greater flexibility in modeling differential behavior of subpopulations according to different contexts and storm scenarios [812]. This demand is based upon the decisions of households to evacuate. Research on the determinants of hurricane evacuation has broadly fallen into three categories: research that approaches evacuation decision-making in terms of risk factors for evacuation failure, research that explores the cognitive processes that are tied to specific action or to inaction (i.e. risk perception and risk communication), and research on social vulnerability to disaster. Differential responses to hurricane risk are well known. In his 1959 study on response to Hurricane Audrey, Fogelman [13] found prior experience with storms, perception of risk, communal and historic knowledge of hurricane response, social networks, and gender were important factors in human behavior prior to and during the storm. However, despite increasing understanding of the determinants of evacuation decision-making, models of hurricane evacuation behavior tend to capture only a single dimension of this complex decision process, often handling these variables linearly and in isolation. Although explanatory frameworks and mechanisms differ across approaches, a number of factors are consistently found to impact evacuation actions. These include socio-economic and demographic features of the households, risk perception, and risk communication. While it is understood that within a household, different individuals may evacuate separately or split evacuation decisions (e.g. some members may chose to remain) [14], research focused on those factors that correlate to the behavior undertaken by the majority of household members shows that evacuation decisions are influenced by size and type of household [15, 16], the presence of children or elderly people [15, 17], pet ownership [16-18], gender of household head [16, 19], ethnicity [15, 16, 20], socio-economic status [15-17, 21-24], and fear of inability to return home following evacuation [25, 26]. These factors may serve as proxy measures for access to transportation and other material resources that influence evacuation behaviors [20, 27]. Additional fault lines for vulnerability include, age, poverty, education, and other markers of socioeconomic status and reinforcement of warnings within the familial or local social network. [13, 28-30]. Social factors that impact evacuation decisions include the importance of family networks, sources of warning, and availability of non-governmental refuge [8, 31]. Other determinants outside the household include risk perception [20, 26, 32-34], event-related factors such as storm severity and trajectory [18, 35, 36], and various aspects of risk communication [8-12, 16, 20, 26, 32]. No one factor appears preeminent in evacuation decision-making; in fact, research has revealed myriad complexities. Geographic and storm aspects place households at risk. Material, demographic, and experiential aspects of households influence both the desire and ability of the household to evacuate. The decision-making process is influenced by fixed factors and by factors that evolve along with the hurricane threat. These factors are further complicated in that they speak to context- and event-specific characteristics of the household, the community, and the hurricane. The factors that remain fixed over the course of a single evacuation event include socio-economic and demographic characteristics of the household, geographic situation, and previous storm and evacuation experience. Those that change as a storm approaches include risk communication, risk perception, hazard magnitude, community and social network actions and resources, and response options. The confluence of the static and dynamic features of household and community inform evacuation decisions and thereby impact the evacuation demand curves. 3 B. Critique of Evacuation Modeling The landscape of hazard has repeatedly been shown to be structured by society and culture, but there remains a disconnection between evacuation planning, risk assessment and social reality. Despite our understanding of the complicated and dynamic processes involved in decisionmaking, hurricane evacuation modeling has suffered from a methodological inability to reproduce interactions of heterogeneous systems and evolving system dynamics and feedbacks. Traditional hurricane-evacuation models are based on biophysical properties of the environment (e.g. whether or not an area is in a flood plain) and assume a homogeneous social character. The reasons for this are two-fold. First, evacuation models rely upon empirical studies of evacuation behavior. Many published studies reflect publication biases that lean toward statistical models based on quantifiable data derived from surveys. Qualitative work, by contrast, has shown that cultural context, social networks, social resources, empowerment, and agency influence evacuation behavior through pathways that are not often reflected in quantitative models. As a result, warnings, evacuation planning and timing, and other policy measures for hurricane mitigation are targeted based on a false assumption of homogeneity. The fallacy and costs of such assumptions were laid bare with the evacuation response to Hurricane Katrina, in which sub-groups such as the elderly, disabled, and poor were unable to get out of harm’s way. A second factor contributing to the weak performance of evacuation modeling has been the failure of evacuation planners and modelers to incorporate behavioral aspects of the human population into their models. Sims and Baumann [37] denounced this practice twenty years ago, faulting studies of evacuation for failing to understand factors that underlie the decision-making process. It is striking that this disparity continues despite a much wider base of information and more flexible methodologies to redress this shortcoming. The differing analytic frameworks used to explore evacuation decision-making (i.e. risk factors for failure, cognitive process, and vulnerability) yield varying interpretations of governing factors and thereby suggest different mechanisms for changing evacuation outcomes. For example, socioeconomic status or the material culture is considered a key determinant within the context of vulnerability. Appropriate mechanisms for intervention in this dimension of vulnerability therefore need to address a broad framework of social and economic development. A different set of policy intervention points are suggested if the primary determinants of evacuation are related to risk communication (i.e. timing of information, who delivers information, and risk perception). The impact that social networks have on filtering communication and moderating the influence of socio-demographic and material aspects suggests still different intervention points. C. Strengths of Agent-Based Modeling Agent-based modeling is an approach that allows for straightforward examination of a system’s workings due to the very direct correspondence between real-world entities and elements of the model. An ABM represents a real-world system as a collection of dynamically interacting rulebased entities (the agents) [3, 6]. Agents are generally situated in space and time within an environment that allows them to act. These kinds of models are a very natural way of representing social or ecological systems where living things interact. An ABM is built by enumerating the components of the system, creating “agents” whose attributes reflect those components, and assigning each agent a set of behavioral rules that mimic the behavior of the corresponding entity. To the degree that rules of behavior can be accurately articulated, an ABM provides a very simple way of exploring the interactions and implications of those rules. ABMs are well suited for studying problems of emergence, where complicated collective behaviors result from the interaction of many agents obeying simple rules [38]. The foraging 4 behavior of ants is one example of this kind of emergence, as are flocking behaviors in fish and birds [39]. For example, realistic flocking can be produced by providing a group of moving agents that follow three simple steering rules: (1) head towards the middle of the group, (2) head in the same direction as your neighbors, and (3) avoid collisions. A collection of agents following these rules will exhibit flocking as seen in the real world, without any need for centralized control or high-level awareness or intentionality [5]. Agent-based modeling has been used to study the flow of foot traffic evacuating a building in an emergency. This research demonstrated that a pillar placed a short distance off-center in front of the main exit will significantly reduce jamming and increase the flow through secondary exits, a result that can be used by architects to improve the fire safety of buildings [3, 7, 40]. Along with biological systems like ant colonies [41], ABM techniques have also been used to study many social systems and phenomena, such as vehicular traffic [42], civil violence [43], finance [44], prehistoric settlement patterns [45], and transportation [46], to name only a few. Another strength of agent-based modeling is that it is highly amenable to extension for the purpose of including new elements in the model or elaborating on processes of interest. With this approach, it will be simple for the research team to refine and adapt the model in response to the observations of the focus groups, capturing any significant features that may have been omitted and correcting any faulty assumptions in the initial formulation. An ABM is also very well-suited for interfacing with a broad spectrum of transportation planning models. Many of these models are themselves agent-based in formulation, and can be driven by exporting relevant data about the agents in this model, while suitable driving data for those that are formulated in statistical terms can be created by simple aggregation of data from the agent population. D. Public Policy Requirements Agent-based models have been used to test policy alternatives in a variety of planning environments. For example, members of the research team have successfully applied an agentbased model of social characteristics of resort-community in-migrants to an evaluation of resort housing policy [47], and an agent-based model of urban location decisions to an evaluation of land use policies [48]. Agent-based policy models typically involve construction of scenarios as alternative rule sets within the model. These scenarios are designed by distilling assessments of current policy discussion and best practice alternatives into model elements. The outputs of these scenarios are evaluated according to criteria defined through external research, such as interviews with policymakers. This approach is a powerful method for exploring policy alternatives because it directly maps diverse social characteristics to policy response [49] and provides a framework for the simulation of policy constructs that illuminates key strategies and dimensions of current debate [50-53]. III. Hypotheses This project will test three hypotheses: (i) synthesizing existing statistical models of evacuation in an ABM framework allows them to be applied in new contexts; (ii) households’ evacuation decisions will trend together based on identity and social network, and these trend groups will correspond to clusters of model agents with similar evacuation narratives; and (iii) social network connectivity is a significant influence on the homogeneity of evacuation response within a subpopulation. A. Transferability of Agent-based Evacuation Models This project will build on two existing statistical models: a sequential logit model and an ethnographic decision tree. These models are based on extensive survey and observational data 5 for particular events and locales. Approaches such as sequential logit or survival analysis find associations between time-dependent variables like time remaining before landfall and total number of evacuations during a given period; any static factors are resolved at a very coarse scale and aggregated across the population. As a result, the correlations between evacuation and demography are calibrated only for the given input data, and do not apply in other locales where the static factors may be different. The decision tree model, on the other hand, disaggregates the decision factors into independent elements that can be applied in a region with differing demographics, but is formulated in a time-invariant way that cannot be used to generate an evacuation demand curve. This project will synthesize the two models by recasting the decision tree from a population-sorting mechanism to the behavioral algorithm for agents, and using the temporal structure of the sequential logit model as the framework within which the agents act. It is hypothesized that, absent network effects, the resulting agent-based model will be consistent with the decision tree if only demographics are considered, and consistent with the sequential logit model if only time-evolution of demand is considered. If so, then the ABM will be able both to generate demand curves and to do so for different contexts, because it evolves the populations’ decisions in a time-dependent way while also explicitly accounting for the static and dynamic factors that influence those decisions. B. Narratives for Clusters & Outliers Since an ABM simulates the interactions of discrete decision-making entities (households, in this case), it provides a great deal of information regarding the evolution of simulated decisionmaking. In fact, agent-based models intrinsically produce narratives of individual decisionmakers’ behavior. Usually these decisions and their outcomes are aggregated into output variables that can be observed in surveys, traffic counts, censuses, etc., obscuring heterogeneity of response. Because of the close integration of the focus groups with the modeling effort, this project has the opportunity to qualitatively verify the ABM-generated narratives. The focus groups will be stratified to represent groups that the literature suggests use different decision strategies based on identity and social relationships. These groupings are expected to exhibit similar intra-group evacuation decisions, and their input will be used both to inform the initial model and evaluate the degree to which the model narratives resonate with both experienced and potential evacuees in the field. Specifically, clusters of simulated households with similar decision histories will be identified, clearly defined narratives describing those histories will be developed, and feedback will be solicited from focus groups regarding the realism and completeness of these narratives. In addition to “closing the loop” between the modeling effort and the agents being modeled, this will provide better understanding of the decision-making process, supply qualitative data on the validity of the model, identify potential deficiencies, and suggest data collection strategies. Closely allied with this effort will be the identification of influential “outliers” —decision-makers that exert disproportionate influence on the simulated outcomes due to social connectivity or other factors. Careful design of sensitivity studies will enable the analysis of outliers, who may be key targets for policy initiatives. C. Influence of Social Network Connectivity Existing literature on evacuation behavior offers several explanatory models that assume social networks play a role in both mitigating lack of material resources for evacuation (i.e. social vulnerability) and influencing behaviors through risk communication [20, 27, 34]. The ABM will examine the effect of these assumptions by including a social network that makes agents’ evacuation decisions perceptible to other agents in the network. The connectivity structure of the network will be related to diverse features of the modeled households, including demographic traits (e.g., social class, ethnicity) and non-traditional identifiers of membership (e.g., neighborhood of residence/place attachment), reflecting the social vulnerability of 6 different groups. Increasing or decreasing the effect of signals transmitted through the social network and/or changing the structure of the social network will allow testing of the hypothesis that social connectivity is a significant factor in the homogeneity of evacuation response: if true, it is expected that a subpopulation that is poorly-connected will respond in a more individualistic and piecemeal fashion than one that is well-connected. Connectivity in this context can be measured in a number of different ways, including clustering coefficient, link density, and degree distribution of groups and actors in an affiliation network [54]. IV. Proposed Work A. Work in Progress and Model Development Prior to this proposal, Dr. McGinnis and Dr. Bush developed a conceptual prototype ABM to explore this idea in a preliminary way. The prototype contains statistically identical agents that respond to generic time-dependent signals by increasing an evacuation readiness variable. When this variable reaches a certain threshold, the agent decides to evacuate. Agents are connected in a simple network that provides them with awareness of other agents’ evacuation decisions, which is treated as another time-dependent evacuation signal. This model exhibits dynamics that are sensible and realistic in a rough and qualitative fashion. This project will use the structural skeleton of the prototype as a starting point to speed the development of the agent-based model of a population’s collective hurricane evacuation decisions described below. Prototype ABM Behavior 10000 Agents 8000 Home 6000 Preparing Traveling 4000 Safe 2000 0 20 15 10 5 0 Hours before Landfall Figure 1. Agents in the simple prototype inhabiting different states over time. The household is the typical unit of decision-making and behavior in a hurricane evacuation; therefore, in this model, each agent will represent a household. The household is embedded within a social network that constrains and influences its evacuation decision, and, as stated in Section A, it is acknowledged that individuals within a household may arrive at a split decision as to whether or not to evacuate. There is a rich set of constraints and interactions operating at the household level, and modeling the system at this level allows them to be captured. Because evacuation research focuses on the decision that impacts the greater part of the household members, it is reasonable to focus on households as representative of household majority. 7 Each agent will have various socio-demographic and geographic attributes associated with it that are relevant to its behavior, like income, pet ownership, elderly members of the household, whether the house is in an evacuation zone, and so on. When the model is populated with agents, randomly chosen (in a statistically precise manner) attributes that fit the demographic profile of the modeled population will be assigned to the agents. For modeling large and heterogeneous populations, this research will use multiple subpopulations, each of which will have its own distinct demographic character. These agents will use a decision-making algorithm that is similar to the ethnographic decision tree model of Gladwin, Gladwin, & Peacock [1]. This algorithm is a tree of Boolean yes/no decisions that are evaluated in sequence to determine what behavior the agent will exhibit: whether it will evacuate or shelter in place, whether to leave now or prepare to leave later, and so on. The decision steps depend on both the agent’s attributes and the current situation, so demographic and circumstantial differences will affect the outcome. For example, each agent considers, in turn, questions like: “Do I live in an evacuation zone? Has there been an evacuation order? Do I have a place to go? Do I have money available for a hotel?” that lead up to a go/no-go decision; the answers to these questions will differ between agents and may change over time. The decision tree of Gladwin, Gladwin, & Peacock was constructed based on interview data and tested against survey data, with an 87% success rate in predicting the evacuation decision of the respondent. The ABM decision tree will be structurally similar, but formulated at the household level rather than the individual level. Historical Preferences Evacuee Focus Groups Social Network Peer Communication Ethnographic Decision Tree Models Infrastructure Sociocognitive decisions Decision Tree Demographic Profiles Hurricane Public Information Agents Policy Analysis Agent-Based Evacuation Model Sequential Decision Models External Data Transferability of Agent-based Evacuation Models Narratives for Clusters & Outliers Influence of Social Network Connectivity Hypotheses Figure 2. Connections and influences in the proposed agent-based model of evacuation behavior. The agents will make their decisions in a temporal framework similar to that of Fu & Wilmot’s dynamic travel demand models [2, 55]. In these models, all the households that have not yet evacuated are examined at each time step and assigned a probability of evacuating based on intrinsic and time-dependent variables such as time of day, hurricane speed, and whether the residence is likely to flood. A fraction of the households are then evacuated according to this probability. The agent model will operate in a similar fashion, but instead of calculating a probability of evacuation, each household’s decision to evacuate will be determined by evaluation of the ethnographic decision tree. 8 In addition, this project will include the effects of interpersonal communication on the decisionmaking process by synthesizing a social network that allows the agents to communicate with one another. Studies have shown that interpersonal communication, especially with regard to the valued judgment of opinion leaders, is a significant factor in the decision to evacuate [56]. The model will include a bipartite affiliation network representing social connections between agents: agents will be randomly assigned to a number of groups, all of whose members know one another. This structure captures the observed character of real-world social networks based on shared contexts of interaction (e.g., church, work, extended family, etc.). Agents will be allowed to include the decisions of other agents in their immediate network neighborhood in their decision-making algorithm [54, 57-61]. The effects of other agents’ evacuation decisions will thus depend not only on the importance they are given in the algorithm, but also the connectivity of the social network, which determines what agents’ decisions are visible to one another. Illustrative Agent-Based Evacuation Model We use the index i 1, , N to label each of the N agents in the simulation. Each agent must be in one of five possible states: si (t ) S " HOME " , " PREPARING" , "TRAVELING" , " SAFE" , " DIVERTED", where t indexes time steps in the simulation. All agents start the simulation at home: i.e., si (0) " HOME " . The agents also have a quantitative measure of their “urgency” to evacuation, ui (t ) , the threshold at which their urgency spurs them to action, i , the expected travel time to the safe zone, i (t ) , and a temporal safety margin, mi ; for our simple prototype model these are Gaussian IID random variables chosen at the start of the simulation, t 0 . Additionally, each agent is embedded in a social network nij which we represent in the following manner: 1 if agents i and j communicat e informatio n . nij n ji 0 if agents i and j do not communicat e informatio n Finally, each agent evaluates or weighs information according to a function f : I where I " landfall forecast" , " evacuation order" , " peer pressure" , etc. are types of information an agent might receive. The dynamics of agents is determined by the receipt of new information and by peer pressure. ui (t 1) ui (t ) w f ( g ) N (0,1) ( w, g )Gi ( t ) where Gi (t ) is the set of signals received by each agent at time t and N (0,1) is a standard normal IID random variable; each signal ( w, g ) consists of a numerical strength, w , and information type, g . The strength of most signals is given externally, but peer pressure is computed from the average urgency of the agent’s peers in the social network: g ipeer (t ) niju j (t ) nij . j i j i The first time that ui (t ) exceeds i (t ) , the agent makes the transition from si (t ) " HOME " to si (t 1) " PREPARING" ; additional rules handle other state transitions and consider the expected time to landfall, the travel time to the safe zone, and the temporal safety margin. This simple model also allows for the possibility of roadway congestion forcing traveling evacuees to be diverted to unplanned shelter locations. Melding different models in this manner makes explicit a number of factors that are handled in an empirical, implicit, or statistical way in existing models. For example, to evaluate perceived risk, agents will aggregate information about the environment (e.g., type of dwelling, whether it is in a flood plain), the event (e.g., storm track, speed, and intensity), and other relevant signals (e.g., hurricane warnings, traffic reports, behavior of other agents) and compare the result to an alarm threshold to answer the decision-tree question, “do you feel endangered by the storm?” This approach makes it possible to model response to hypothetical future storms based on presently available data, rather than relying on retrospective data like risk perception that can only be collected after a storm. Model development will take place in parallel to the work Figure 3. Simplified description of an evacuation-behavior ABM. with focus groups. It is expected that this approach will create valuable synergy, with questions and insights arising in one arena providing guidance in another. To this end, development will proceed iteratively, starting with a very simple, but functional, model and adding features one at a time, so that results from intermediate modeling stages can inform research with focus groups and vice versa. 9 B. Calibration & Validation The agent-based evacuation-demand model will have only a few “free” tunable parameters— most of its input data will be based on the characteristics of the synthetic population, resource constraints (i.e. vehicle availability, road network status, etc.), and exogenous variables such as the hurricane track and intensity. Because sufficiently detailed evacuation time-series data for hurricanes is scarce, this model will use standard cross-validation techniques [62] to calibrate the ABM’s free parameters and quantify its prediction errors: the set of available calibration/validation data will be separated into “training” and “testing” partitions, and the “training” sets will be used for calibration while the “testing” sets are used for validation. As the training-testing partition is varied, the accumulated statistics will indicate the prediction error. The actual calibration will use the “downhill simplex” method [63] or possibly a genetic algorithm [64] to minimize the difference between the predicted and observed evacuationdemand curves for multiple demographic groups and geographic zones as the ABM’s tunable parameters are varied. Stratifying the comparison ensures that the calibrated ABM parameters are applicable to the full spectrum of households in the simulation. The calibrated ABM will be compared with published calibrations of sequential logit and survival analysis models [2, 55]. Additional metrics indicating the quality of the model will be developed to the extent that empirical data supports their computation. C. Qualitative Behavior & Sensitivity Analysis The first step in analyzing the ABM is to thoroughly map out the various behavioral regimes exhibited by the simulation and examine their qualitative plausibility in terms of the feedback loops present in the system. A significant product of the analysis will be a phase diagram delimiting various possible “decision regimes” and identifying the possible phase transitions between them. Statistical methods for experimental design provide a structured methodology for performing this exploration. This research will use Latin hypercube sampling (LHS) and orthogonal arrays (OA) as the basis of these designs [65, 66]. Because of the speed of the ABM simulations, it will be possible to run large designs with numerous replications (necessary because of the stochastic nature of the ABM). The research team believes it will be practical to implement strength three (and higher) orthogonal array designs in this study—this will enable the study of three-way correlations in input parameters. Initially, the researchers will examine the sensitivities of parameters and processes internal to the ABM model. Key candidate variables for sensitivity analysis are those related to awareness of risk, expected travel times, destination constraints, and evacuation preparation factors. Variance decomposition methods [67] will be used to identify the dependencies of the model output on individual factors. As part of this analysis, input factors that are highly correlated (e.g., not fully independent) will be identified, as will factors to which the output is insensitive. A thorough understanding of sensitivities will have benefits for model refinement, data collection and survey design, and development of mitigation strategies. Model sensitivity to factors left outside the models and to random events will be evaluated. It can be argued that a particular crisis scenario can have multiple materially different outcomes due to factors outside anyone’s control (such as an accident clogging a major evacuation route, wrong information about the feasibility of a particular evacuation path, or the specific structure of social interactions in the affected area, all of which will alter how people heed evacuation orders)—a social systems “butterfly effect”. In such situations, prediction may not be feasible, but a simulation may allow investigation of the set of possible outcomes. Given constraints like those imposed by the transportation system, the number of qualitatively different outcomes may not be large. Furthermore, those outcomes may serve as guidance for developing flexible 10 emergency response plans usable in a variety of circumstances, rather than attempting to design a single “optimal plan”. The research will move beyond sensitivity analysis to quantify uncertainties present in the model to the extent prior probabilities can be assigned to key model parameters. Uncertainties are conditioned on external factors such as hurricane track and intensity. Latin hypercube sampling on these prior probability distributions is the most appropriate method for quantifying ABM output uncertainty. Because the model is stochastic, several replications may be needed in the experimental design. The impact of varying the model structure will be examined in order to elicit information about structural and systemic uncertainties in the ABM. The value of such rigorous quantification of uncertainty lies in its providing guidance about the plausible range of outcomes, rather than just a single estimate (or unquantified group of estimates) for outcomes simulated by the agent-based model. D. Focus Groups During the early stages of the project, focus groups will be formed to elaborate the factors, interactions, and cognitive pathways that influence evacuation decision-making. The results from these studies will feed into the model development process. As the ABM is refined and elaborated, a second phase of focus groups will be held to validate the model. This critical second phase reflects a small degree of community-based participatory research. The communities that inform the model development will be given the opportunity to vet it and discuss its possible utility. Through this process, the researchers hope to build a synergistic interaction between the human narrative, the knowledge gained through qualitative exploration of the lived experience, and analytic power of mathematical modeling. Unlike large surveys, which tend towards reduced variety in response, the focus group methodology allows for a large degree of elaboration upon and departure from theorized models and feedbacks. As qualitative storm narratives show [14], factors both endogenous and exogenous to the household or wider social network, including extended family, interact in non-linear ways across time. Understanding the relative weighting of variables that influence evacuation behavior requires details best elucidated in small focus groups. The focus groups will draw from individuals currently residing in the greater New Orleans and greater Galveston areas. In order to obtain information about how groups that share a similar sense of identity respond to cues from the social and physical environment, the focus groups will be stratified around parameters believed to influence diverse evacuation responses to include membership based on place and membership within social networks to incorporate the influence of factors such as neighborhood, extended family, social class, and ethnicity. Focus groups to provide variables and interactions upon which the ABM will be based will occur in year one of the grant. In year two of the grant, the “narratives” generated from the ABM will be presented to and critiqued by a second round of focus groups. Ideally the same cohort will be used for both types of focus groups, but this may prove infeasible, especially in the rapidly changing social landscape of New Orleans. A total of ten focus groups, five in each of the study sites, will be realized for each phase for a total of twenty groups over the two-year course of the grant. Each focus group will consist of 8-12 individuals. Local coordinators from both New Orleans and Galveston will be employed to assemble focus groups that feature known modifiers of evacuation behavior, reflecting different genders, ethnicities, social classes, and household sizes and compositions. (See Letters of Support.) While the financial scope of this proposal does not allow for the creation of ethnographic records of the focus group participants, the researchers hope to obtain supplemental funding to conduct semi-structured interviews with each participant to obtain a more robust ethnographic record of 11 evacuation timing and decision-making. The local coordinators are well-versed in assembling focus groups based on specific community and social network characteristics. New Orleans and Galveston share a risk profile in that they lie within an active hurricane zone and have experienced destruction from storms of historic proportion. The population of both areas has recent experience with major evacuation efforts related to hurricanes Katrina and Rita. In addition, the research team has several years of combined experience working with local communities in these two regions. In addition to receiving her Ph.D. from Tulane University in New Orleans, Dr. Johnson worked on a number of community-based projects in New Orleans prior to Hurricane Katrina and was part of a research project on post-Katrina resource loss and coping behaviors. In 2006, Dr. Muller and Dr. McGinnis worked with Dr. Robert Harriss, Director of the Houston Advanced Research Center, on the Galveston Futures project. This project was a community design charette that brought together representatives from many sectors of the Galveston community, public and private, to develop plans for the redevelopment of public lands focusing on issues of sustainability and hazard mitigation. E. Synergies between Agent-Based Modeling and the Use of Focus Groups The ABM will create pathways through which different agents navigate the evacuation event. In essence, each agent represents a household and will generate a narrative of its journey and interactions through the system. Researchers will extrapolate from the agents’ decisions to create a human narrative of information and interaction in the changing landscape of the community evacuation. Narratives of typical or highly influential agents will be presented to community members for them to assess how realistically the interactions, imputed judgments, and ensuing behavior mirror their lived experiences. In turn, the narratives generated by community members in the focus groups will be compared to agent behavior within the model to verify that the decision-making algorithms accurately reflect the human decision process. The degree of correspondence between the two types of narrative and ease with which the decision processes can be translated from the domain of explanation to the domain of simulation will give insight into the validity of the hypothesis that the agent-based model generates narratives that resonate with potential evacuees. F. Education and Dissemination The major outcomes of the modeling will be disseminated on three tiers: local community, (inter)national research community, and academic institutions. The focus group mechanism provides a valuable tool for researchers to share and validate the results of the modeling, particularly in the second year of the research plan when the local community will evaluate the ABM-generated narratives. In addition, once the final project is complete, results will be disseminated via the local coordinators embedded within the communities being studied. The results of this study will further be submitted to peer-reviewed publications. One of the more valuable educational components of this research is the involvement of students in graduate level programs at the University of Denver (DU) and the University of Colorado, Denver (CU). DU and CU will employ one graduate research assistant each for the duration of the project, thus training a small portion of the next generation of researchers/planners. The DU graduate research assistant will actively participate in field research in Louisiana and Texas, and the CU student will actively take part in policy analysis. As the project nears completion, a cross-institutional colloquium targeting graduate and postgraduate students will be held. The intent is to bring together students from the DU Graduate School of International Studies who are focusing on issues of disaster preparedness and homeland security (mostly master’s degree students, some Ph.D. candidates), and urban 12 planning students from CU (mostly master’s level students), with evacuation modelers and transportation planners to discuss the utility of the ABM and issues surrounding evacuation planning. V. Broader Impact & Significance This project may have significant impact on the way that evacuation planning is undertaken, as it will account for heterogeneity in evacuation decision responses and context-specific variables, both of which have not been elaborated upon in prior evacuation planning models. By providing a model of evacuation that can explain the effectiveness of various policies and contextual factors, this research will enable evacuation planners to make more informed and effective decisions. This project speaks to the NSF concern for the integration of science research and education through: (1) a collaborative design that integrates feedback mechanisms between researchers and lay community members as noted in Section E above, (2) a day-long, multidisciplinary seminar on evacuation decision-making that will unite graduate students from urban planning, public policy, and disaster planning, and (3) the participation of graduate students in the research. Working with the lay public to validate the cognitive choices that occur in the evacuation decision-making process is the first step in what will become an on-going dialogue with urban planners to introduce it into practice. The proposed work nicely complements several ongoing initiatives and addresses recommendations of national and international organizations: The National Science Board’s Task Force on Hurricane Science and Engineering has identified “human behavior and risk planning” and “evacuation planning” [68] as high priority research investments. Furthermore, the Transportation Research Board’s Emergency Evacuation Subcommittee identified, in its January 2006 meeting, [69] the incorporation of human behavior into evacuation modeling as critical to effective evacuation prior to events like hurricanes. Finally, the World Meteorological Organization’s THORPEX program includes a Societal and Economic Applications subprogram [70] that has identified the societal impacts of high impact weather as a key research topic. VI. Management Plan All senior members of the project team are based in the greater Denver area. This geographic proximity allows for ease in meeting on a monthly basis or more frequently, as necessary. Further, the team will keep in contact through phone and e-mail. Each institution will be responsible for managing its portion of the grant. Dr. McGinnis, the P.I., located at the National Center for Atmospheric Research (NCAR), will oversee proposal performance under the guidance of Dr. Bush. A. Investigator Roles and Experience Seth McGinnis, principal investigator, will develop the agent-based model, perform the model runs, and assist with the analysis of the results. He has more than a decade of experience in the development and analysis of computer models and simulations, and performed most of the work on the prototype evacuation model. Brian W. Bush, consulting co-investigator and senior mentor, will assist in developing the agentbased model, preparing input data sets, and analyzing the results. He has twenty years of modeling, simulation, and analysis experience, and was a lead contributor (architect, developer, and researcher) to TRANSIMS (the Transportation Analysis Simulation System [42]), a highly detailed agent-based transportation planning model. He will mentor the team in advanced agent-based modeling techniques and simulation analysis. 13 Sandy A. Johnson, principal co-investigator, will lead the qualitative fieldwork in New Orleans, Louisiana, and Galveston, Texas. She will coordinate educational outreach. Her work on social vulnerability and negative health outcomes included several community-based projects in New Orleans. Most recently, she was involved with a study on post traumatic stress disorder, resource loss and hurricane evacuation being conducted in New Orleans. Brian Muller, principal co-investigator, will lead the policy and utility analysis aspects of the study and critique the modeling effort. He has more than two decades of experience in policy and planning analysis. His recent research focuses on use of agent-based models in land-userelated policy simulations and regional transportation planning. B. Time Line Month 1-6 7-9 Key Activities Preliminary model development Construction of focus group questionnaire Calibration and validation data collection Supplemental review of literature Phase I focus groups Incorporation of focus group results into model Model refinement Preliminary analysis of model Milestones Preliminary model Focus group questionnaire Focus group report Revised model Final version of model 21-24 Phase II focus groups Incorporation of focus group results into model Finalize model Further analysis of model Document and disseminate results Refined model Draft model analysis section of project report Focus group report Revised model Project report 23-24 Multidisciplinary seminar Seminar report 9-13 14-17 18-20 14
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