Universal scaling laws of collective human flow patterns in urban regions

Yohei Shida; Hideki Takayasu; Shlomo Havlin; Misako Takayasu

doi:10.1038/s41598-020-77163-2

Universal scaling laws of collective human flow patterns in urban regions

Yohei Shida, Hideki Takayasu, Shlomo Havlin, Misako Takayasu

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 L³ in the morning rush hour, which is surprisingly different from reasonable intuition of proportionality to the 2 dimensional area, L². 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.

Original language	English
Article number	21405
Journal	Scientific Reports
Volume	10
Issue number	1
DOIs	https://doi.org/10.1038/s41598-020-77163-2
State	Published - 8 Dec 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).

Funding

We thank K.Tamura for many discussions. We thank Agoop for providing the GPS datasets. This work was supported by Tokyo Tech World Research Hub Initiative (WRHI) Program of Institute of Innovative Research, Tokyo Institute of Technology. We thank Google for Google map (Fig. 1b,c,d). This work was supported by Grant-in-Aid for Scientific Research (B), Grant Number 18H01656. S.H. thanks the Israel Science Foundation, (Grant no. 189/19) and the joint China-Israel Science Foundation (Grant no. 3132/19), ONR, the Japan Science Foundation with MOST, BSF-NSF, ARO, the BIU Center for Research in Applied Cryptography and Cyber Security, and DTRA (Grant no. HDTRA-1-19-1-0016) for financial support.

Funders	Funder number
WRHI
Institute of Innovative Research, Tokyo Institute of Technology
Tokyo Institute of Technology
Tokyo Tech World Research Hub Initiative
Army Research Office	HDTRA-1-19-1-0016
Japan Science Foundation
Ministry of Science and Technology, Taiwan
Israel Science Foundation	189/19
China-Israel Science Foundation	3132/19
BSF-NSF
Office of Naval Research

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Universal scaling laws of collective human flow patterns in urban regions

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