A spatiotemporal decay model of human mobility when facing large-scale crises

Author:

Li Weiyu1,Wang Qi2,Liu Yuanyuan3ORCID,Small Mario L.4ORCID,Gao Jianxi5ORCID

Affiliation:

1. School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, China

2. Department of Civil and Environmental Engineering, Northeastern University, Boston, MA 02115

3. Lally School of Management, Rensselaer Polytechnic Institute, Troy, NY 12180

4. Department of Sociology, Columbia University, New York, NY 10027

5. Department of Computer Science and NEST Center, Rensselaer Polytechnic Institute, Troy, NY 12180

Abstract

A common feature of large-scale extreme events, such as pandemics, wildfires, and major storms is that, despite their differences in etiology and duration, they significantly change routine human movement patterns. Such changes, which can be major or minor in size and duration and which differ across contexts, affect both the consequences of the events and the ability of governments to mount effective responses. Based on naturally tracked, anonymized mobility behavior from over 90 million people in the United States, we document these mobility differences in space and over time in six large-scale crises, including wildfires, major tropical storms, winter freeze and pandemics. We introduce a model that effectively captures the high-dimensional heterogeneity in human mobility changes following large-scale extreme events. Across five different metrics and regardless of spatial resolution, the changes in human mobility behavior exhibit a consistent hyperbolic decline, a pattern we characterize as “spatiotemporal decay.” When applied to the case of COVID-19, our model also uncovers significant disparities in mobility changes—individuals from wealthy areas not only reduce their mobility at higher rates at the start of the pandemic but also maintain the change longer. Residents from lower-income regions show a faster and greater hyperbolic decay, which we suggest may help account for different COVID-19 rates. Our model represents a powerful tool to understand and forecast mobility patterns post emergency, and thus to help produce more effective responses.

Funder

National Science Foundation

Publisher

Proceedings of the National Academy of Sciences

Subject

Multidisciplinary

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