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Clustering Patterns Connecting COVID-19 Dynamics and Human Mobility Using Optimal Transport.

Frank Nielsen1, Gautier Marti2, Sumanta Ray3

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Sankhya. Series B (2008)
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Summary

This study introduces a computational framework to analyze COVID-19 spread by comparing human mobility and case data across 150+ US cities. It identifies distinct clusters of cities with similar temporal patterns, aiding pandemic response strategies.

Keywords:
COVID-19.ClusteringMobilityOptimal transportTime seriesWasserstein distance

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Area of Science:

  • Computational epidemiology
  • Public health analytics
  • Socioeconomic impact analysis

Background:

  • Social distancing and stay-at-home orders are crucial for pandemic control.
  • The dynamic relationship between mobility, interventions, and disease incidence varies across populations.
  • Understanding these temporal dependencies is vital for effective public health strategies.

Purpose of the Study:

  • To develop and apply a computational framework for measuring and comparing temporal relationships between human mobility and COVID-19 cases.
  • To analyze these relationships across over 150 US cities.
  • To identify clusters of cities with similar temporal dependencies and analyze their socioeconomic composition.

Main Methods:

  • Utilized a novel application of Optimal Transport to compute distances between normalized bivariate time series of mobility and COVID-19 cases.
  • Applied clustering techniques to group cities based on temporal dependencies.
  • Computed Wasserstein barycenters to represent cluster-specific dynamic patterns.
  • Analyzed cluster composition using city-specific socioeconomic covariates.

Main Results:

  • Identified 10 distinct clusters of US cities exhibiting similar temporal dependencies between human mobility and COVID-19 incidence.
  • Characterized the overall dynamic patterns for each cluster using Wasserstein barycenters.
  • Revealed variations in cluster composition based on socioeconomic factors, suggesting differential impacts of mobility on disease spread.

Conclusions:

  • The developed framework effectively measures and compares complex temporal relationships between human mobility and disease incidence.
  • Clustering cities based on these dynamics reveals distinct patterns of pandemic spread across different urban environments.
  • Socioeconomic factors play a significant role in shaping the relationship between mobility and COVID-19 cases, informing targeted public health interventions.