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Modeling Human Spatial Mobility Patterns with the Lévy Flight Cluster Model

Published: August 30, 2025 | arXiv ID: 2509.00298v1

By: Malcolm Wolff , Adrian Dobra , Anton H. Westveld and more

BigTech Affiliations: University of Washington

Potential Business Impact:

Tracks people's movements to create fake, private maps.

Business Areas:
Motion Capture Media and Entertainment, Video

Despite the extensive collection of individual mobility data over the past decade, fueled by the widespread use of GPS-enabled personal devices, the existing statistical literature on estimating human spatial mobility patterns from temporally irregular location data remains limited. In this paper, we introduce the L\'{e}vy Flight Cluster Model (LFCM), a hierarchical Bayesian mixture model designed to analyze an individual's activity distribution. The LFCM can be utilized to determine probabilistic overlaps between individuals' activity patterns and serves as an anonymization tool to generate synthetic location data. We present our methodology using real-world human location data, demonstrating its ability to accurately capture the key characteristics of human movement.

Country of Origin
🇺🇸 United States

Page Count
37 pages

Category
Statistics:
Methodology