Universal scaling laws of collective human flow patterns in urban regions

Yohei Shida · Hideki Takayasu C · Shlomo Havlin · Misako Takayasu

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Human Mobility and Location-Based Analysis Urban Design and Spatial Analysis Evacuation and Crowd Dynamics

Abstract

Detail observation of human locations became available recently by the development of information technology such as mobile phones with GPS (Global Positioning System). We analyzed temporal changes of global human flow patterns in urban regions based on mobile phones' GPS data in 9 large cities in Japan. By applying a new concept of drainage basins in analogous to river flow patterns, we discovered several universal scaling relations. These include, the number of moving people in a drainage basin of diameter L is proportional to [Formula: see text] in the morning rush hour, which is surprisingly different from reasonable intuition of proportionality to the 2 dimensional area, [Formula: see text]. We show that this unexpected 3 dimensional feature is related to the strong attraction of the city center to become a 3 dimensional structure due skyscrapers.

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References

2009Power-Law Distributions in Empirical Data 2018Power-law distributions in empirical data 2008Understanding individual human mobility patterns 1885The Laws of Migration 2010Limits of Predictability in Human Mobility 2012A universal model for mobility and migration patterns 2006Mobile Landscapes: Using Location Data from Cell Phones for Urban Analysis 2015A survey of results on mobile phone datasets analysis

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