Scaling law of individual urban tour behavior

Abstract

Analyzing and modeling the mobility process with tour behavior is fundamental to understanding a wide range of complex systems, including animal foraging, human mobility and freight transportation. However, despite their importance, the distribution of tour length has long been neglected in individual human mobility models. To fill this gap, we analyze Foursquare users' check-in data and find that the distribution of urban tour length follows a truncated power-law distribution. To reproduce the universal scaling law for human mobility in urban areas, we introduce a tour terminate-continue model. Our model reproduces not only the urban tour length distribution but also Heaps' law, Zipf's lawand the distribution of the radius of gyration, providing a new perspective for characterizing individual human mobility.

arXiv comment12 pages, 11 figures

References in corpus (10)

• Understanding individual human mobility patterns
• The scaling laws of human travel
• Modeling the scaling properties of human mobility
• Human Mobility: Models and Applications
• A stochastic model of randomly accelerated walkers for human mobility
• Future Directions in Human Mobility Science
• Epidemic spreading in localized environments with recurrent mobility patterns
• Recurrent host mobility in spatial epidemics: beyond reaction-diffusion
• Toward a General Understanding of the Scaling Laws in Human and Animal Mobility
• On the importance of trip destination for modeling individual human mobility patterns