Preprint Article Version 1 This version is not peer-reviewed

Statistical Law between Areas and Perimeters Created by a Moving Trajectory

Version 1 : Received: 5 September 2024 / Approved: 6 September 2024 / Online: 9 September 2024 (11:42:22 CEST)

How to cite: Ishikawa, A.; Fujimoto, S.; Mizuno, T.; Tanaka, Y. Statistical Law between Areas and Perimeters Created by a Moving Trajectory. Preprints 2024, 2024090564. https://doi.org/10.20944/preprints202409.0564.v1 Ishikawa, A.; Fujimoto, S.; Mizuno, T.; Tanaka, Y. Statistical Law between Areas and Perimeters Created by a Moving Trajectory. Preprints 2024, 2024090564. https://doi.org/10.20944/preprints202409.0564.v1

Abstract

Based on our interest in properties of human movement, we investigated Japanese GPS data, and arrived at the following three observations: 1) there is a strong correlation between the area of polygons created by human movement trajectories and their perimeters; 2) short-distance movement trajectories less than 5 km tend to enclose a large area like a circle; 3) long-distance movement trajectories over 5 km tend to be straight. We also clarified the following four observations on individual attributes and external factors related to long-distance movements: 1) women tend to travel more linearly than men; 2) linearity is stronger on weekends and national holidays in areas with a large theme park; 3) linearity is weaker on weekends and holidays in areas with many historical tourist attractions; 4) these variations are created by people visiting such areas. These properties should be incorporated when modeling the movement trajectories of humans.

Keywords

GPS data; human movement trajectories; individual attributes; external factors; linearity

Subject

Social Sciences, Tourism, Leisure, Sport and Hospitality

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