Dynamics of local interactions and evacuation behaviors in a social network

Abstract This paper examines how social interaction affects the choice to evacuate during a network formation process. The primary objective is to evaluate in detail the influence of other individuals by considering how influencers and entire network structures affect one-to-one interactions. This study proposes an analytical framework for the simultaneous evaluation of local interaction and face-to-face communication network formation. This framework is appropriate for dynamic scenarios, because local interactions strongly influence human decision-making and because network formation changes over time. Our detailed local interaction model, which is based on Brock and Durlauf (2001), analyzes the differences in the interaction weights related to pairs and behaviors. We estimate the utility and the asymmetric weight parameters in the local interaction model by using the nested pseudo-likelihood approach. Our proposed network formation model, which is based on the discrete choice model, evaluates the probability of face-to-face communication and the spatial correlations of the interaction pairs in an area. Our case study validates the introduction of (1) asymmetric weights of interaction in the evacuation departure choice and (2) spatial correlation in the network formation model, using the behavioral data collected during a no-notice disaster in a devastated settlement. In numerical simulations, the proposed evaluation framework can effectively illustrate the impact of network structures on the choice probabilities influenced by interactions. Additionally, the framework is useful for evaluating the critical measures for prompt evacuation.

[1]  Satish V. Ukkusuri,et al.  Modeling joint evacuation decisions in social networks: The case of Hurricane Sandy , 2017 .

[2]  T. Snijders The statistical evaluation of social network dynamics , 2001 .

[3]  Garry Robins,et al.  Network models for social selection processes , 2001, Soc. Networks.

[4]  Pamela Murray-Tuite,et al.  Analysis of child pick-up during daily routines and for daytime no-notice evacuations , 2012 .

[5]  Pamela M. Murray-Tuite,et al.  Role of Uncertainty and Social Networks on Shadow Evacuation and Non-Compliance Behavior in Hurricanes , 2021 .

[6]  Ta Theo Arentze,et al.  Modeling social interactions between individuals for joint activity scheduling , 2012 .

[7]  Arif Mohaimin Sadri,et al.  Understanding the efficiency of social media based crisis communication during hurricane Sandy , 2020, Int. J. Inf. Manag..

[8]  Nick S. Jones,et al.  Simulation of Information Spreading Following a Crisis , 2015 .

[9]  Frank Goetzke,et al.  Walkability as a Summary Measure in a Spatially Autoregressive Mode Choice Model: An Instrumental Variable Approach , 2010 .

[10]  Steven L. Puller,et al.  The Old Boy (and Girl) Network: Social Network Formation on University Campuses , 2008 .

[11]  T. Arentze,et al.  Social Networks, Social Interactions, and Activity-Travel Behavior: A Framework for Microsimulation , 2008 .

[12]  Earl J. Baker,et al.  Hurricane Evacuation Behavior , 1991, International Journal of Mass Emergencies & Disasters.

[13]  Chester G. Wilmot,et al.  Sequential Logit Dynamic Travel Demand Model for Hurricane Evacuation , 2004 .

[14]  Shunichi Koshimura,et al.  Response to the 2011 Great East Japan Earthquake and Tsunami disaster , 2015, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[15]  Brian W. Rogers,et al.  The Economic Consequences of Social Network Structure , 2015 .

[16]  B. Aguirre,et al.  A Test of the Emergent Norm Theory of Collective Behavior , 1998 .

[17]  Pamela Murray-Tuite,et al.  A random parameter ordered probit model to understand the mobilization time during hurricane evacuation , 2013 .

[18]  Satish V. Ukkusuri,et al.  Crisis Communication Patterns in Social Media during Hurricane Sandy , 2017, Transportation Research Record: Journal of the Transportation Research Board.

[19]  John Rust Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher , 1987 .

[20]  Konstadinos G. Goulias,et al.  Decision makers and socializers, social networks and the role of individuals as participants , 2013, Transportation.

[21]  M. Bierlaire,et al.  A General and Operational Representation of Generalised Extreme Value Models , 2006 .

[22]  Michael K. Lindell,et al.  Critical Behavioral Assumptions in Evacuation Time Estimate Analysis for Private Vehicles: Examples from Hurricane Research and Planning , 2007 .

[23]  Tom A. B. Snijders,et al.  Introduction to stochastic actor-based models for network dynamics , 2010, Soc. Networks.

[24]  Garry Robins,et al.  An introduction to exponential random graph (p*) models for social networks , 2007, Soc. Networks.

[25]  W. Brock,et al.  Interactions-Based Models , 2000 .

[26]  Garry Robins,et al.  A spatial model for social networks , 2006 .

[27]  Xiangyang Guan,et al.  Using social media data to understand and assess disasters , 2014, Natural Hazards.

[28]  Daisuke Fukuda,et al.  Incorporating aggregate behavior in an individual's discrete choice: An application to analyzing illegal bicycle parking behavior , 2007 .

[29]  A. Páez,et al.  A Discrete-Choice Approach to Modeling Social Influence on Individual Decision Making , 2008 .

[30]  Sridhar Narayanan,et al.  Discrete choice models of firms’ strategic decisions , 2008 .

[31]  László Gulyás,et al.  Structure and emergence in a nested logit model with social and spatial interactions , 2013, Comput. Math. Organ. Theory.

[32]  Joan L. Walker,et al.  Discrete Choice with Social and Spatial Network Interdependencies , 2005 .

[33]  Harry Timmermans,et al.  Modeling Social Networks in Geographic Space: Approach and Empirical Application , 2012 .

[34]  Pallab Mozumder,et al.  Heterogeneity Within and Across Households in Hurricane Evacuation Response , 2017 .

[35]  László Gulyás,et al.  Sociodynamic Discrete Choice on Networks in Space: Impacts of Agent Heterogeneity on Emergent Outcomes , 2008 .

[36]  Satish V. Ukkusuri,et al.  The Role of Social Networks and Information Sources on Hurricane Evacuation Decision Making , 2017 .

[37]  Hideyuki Kita,et al.  A merging–giveway interaction model of cars in a merging section: a game theoretic analysis , 1999 .

[38]  Satish V. Ukkusuri,et al.  A random-parameter hazard-based model to understand household evacuation timing behavior , 2013 .

[39]  Ronald W. Perry,et al.  Evacuation Decision-Making in Natural Disasters , 1979 .

[40]  Ta Theo Arentze,et al.  Social influences on household location, mobility and activity choice in integrated micro-simulation models , 2011 .

[41]  Xuedong Yan,et al.  A Method for Formulizing Disaster Evacuation Demand Curves Based on SI Model , 2016, International journal of environmental research and public health.

[42]  F. Witlox,et al.  When Transport Geography Meets Social Psychology: Toward a Conceptual Model of Travel Behaviour , 2010 .

[43]  Helbing,et al.  Social force model for pedestrian dynamics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[44]  Soundar Kumara,et al.  Leveraging social networks for efficient hurricane evacuation , 2015 .

[45]  Catholijn M. Jonker,et al.  On the engineering of agent-based simulations of social activities with social networks , 2012, Inf. Softw. Technol..

[46]  Joan L. Walker,et al.  Correcting for endogeneity in behavioral choice models with social influence variables , 2011 .

[47]  Pamela Murray-Tuite,et al.  An agent-based modeling system for travel demand simulation for hurricane evacuation , 2014 .

[49]  Harry J. P. Timmermans,et al.  A multilevel path analysis of contact frequency between social network members , 2010, Journal of Geographical Systems.

[50]  Yusuke Hara,et al.  Behaviour Analysis Using Tweet Data and geo-tag Data in a Natural Disaster , 2015 .

[51]  Christopher Timmins,et al.  Estimating Equilibrium Models of Sorting Across Locations , 2003 .

[52]  Walter Gillis Peacock,et al.  Social Science Research Needs for the Hurricane Forecast and Warning System , 2007 .

[53]  Arif Mohaimin Sadri,et al.  Modeling social network influence on hurricane evacuation decision consistency and sharing capacity , 2020 .

[54]  Haris N. Koutsopoulos,et al.  Modeling Integrated Lane-Changing Behavior , 2003 .

[55]  Yasuo Asakura,et al.  Dynamics of information generation and transmissions through a social network in non-recurrent transport behaviour , 2011 .

[56]  Junji Urata,et al.  Modeling the Cooperation Network Formation Process for Evacuation Systems Design in Disaster Areas with a Focus on Japanese Megadisasters , 2012 .

[57]  Brian Wolshon,et al.  Modeling Risk Attitudes in Evacuation Departure Choices , 2012 .

[58]  Victor Aguirregabiria,et al.  Swapping the Nested Fixed-Point Algorithm: a Class of Estimators for Discrete Markov Decision Models , 2002 .

[59]  Pamela Murray-Tuite,et al.  Behavioral Model to Understand Household-Level Hurricane Evacuation Decision Making , 2011 .

[60]  Denis Phan,et al.  The Monopolist's Market with Discrete Choices and Network Externality Revisited: Small-Worlds, Phase Transition and Avalanches in an ACE Framework , 2003 .

[61]  Junji Urata,et al.  People's Risk Recognition Preceding Evacuation and Its Role in Demand Modeling and Planning , 2018, Risk analysis : an official publication of the Society for Risk Analysis.

[62]  Chandra R. Bhat,et al.  Incorporating Spatial Dynamics and Temporal Dependency in Land Use Change Models , 2011 .

[63]  Vinayak Dixit,et al.  Understanding the Impact of a Recent Hurricane on Mobilization Time during a Subsequent Hurricane , 2008 .

[64]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[65]  Mark Grinblatt,et al.  Social Influence and Consumption: Evidence from the Automobile Purchases of Neighbors , 2007, The Review of Economics and Statistics.

[66]  Pamela Murray-Tuite,et al.  Evacuation transportation modeling: An overview of research, development, and practice , 2013 .

[67]  Satish V. Ukkusuri,et al.  Exploring network properties of social media interactions and activities during Hurricane Sandy , 2020, Transportation Research Interdisciplinary Perspectives.

[68]  Satish V. Ukkusuri,et al.  Joint modeling of evacuation departure and travel times in hurricanes , 2018, Transportation.

[69]  J. Kaufman,et al.  Individual Actual or Perceived Property Flood Risk: Did it Predict Evacuation from Hurricane Isabel in North Carolina, 2003? , 2010, Risk analysis : an official publication of the Society for Risk Analysis.

[70]  Pamela Murray-Tuite,et al.  Model of Household Trip-Chain Sequencing in Emergency Evacuation , 2003 .

[71]  Anton Badev,et al.  Discrete Games in Endogenous Networks: Equilibria and Policy , 2017, ArXiv.

[72]  Sanjeev Goyal,et al.  Matching and Network Effects , 2006 .

[73]  C. Cirillo,et al.  Generalized behavioral framework for choice models of social influence: Behavioral and data concerns in travel behavior , 2015 .

[74]  Satoshi Fujii,et al.  Mass effects and mobility decisions , 2013 .

[75]  Adriaan R. Soetevent,et al.  A discrete-choice model with social interactions: with an application to high school teen behavior , 2007 .

[76]  J. Collins,et al.  The Effects of Social Connections on Evacuation Decision Making during Hurricane Irma , 2018, Weather, Climate, and Society.

[77]  Earl J. Baker,et al.  Predicting Response to Hurricane Warnings - Reanalysis of Data from 4 Studies , 1979 .

[78]  Kay W. Axhausen,et al.  An agent-based random-utility-maximization model to generate social networks with transitivity in geographic space , 2013, Soc. Networks.

[79]  C. Cirillo,et al.  The optimal time to evacuate: A behavioral dynamic model on Louisiana resident data , 2017 .

[80]  Michel Bierlaire,et al.  Discrete Choice Models for Pedestrian Walking Behavior , 2006 .

[81]  Katja Seim,et al.  An empirical model of firm entry with endogenous product-type choices , 2006 .

[82]  Satish V. Ukkusuri,et al.  A threshold model of social contagion process for evacuation decision making , 2011 .

[83]  W. Botzen,et al.  A Review of Risk Perceptions and Other Factors that Influence Flood Mitigation Behavior , 2012, Risk analysis : an official publication of the Society for Risk Analysis.

[84]  Moshe Ben-Akiva,et al.  Process and context in choice models , 2012, Marketing Letters.

[85]  Hein de Vries,et al.  Article in Press G Model Social Networks Dynamics of Adolescent Friendship Networks and Smoking Behavior , 2022 .

[86]  Duncan J Watts,et al.  A simple model of global cascades on random networks , 2002, Proceedings of the National Academy of Sciences of the United States of America.