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Superlinear and sublinear urban scaling in geographical networks modeling cities

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Title: Superlinear and sublinear urban scaling in geographical networks modeling cities
Authors: Yakubo, K. Browse this author →KAKEN DB
Saijo, Y. Browse this author
Korosak, D. Browse this author
Issue Date: 4-Aug-2014
Publisher: American Physical Society
Journal Title: Physical Review E
Volume: 90
Issue: 2
Start Page: 022803-1
End Page: 022803-10
Publisher DOI: 10.1103/PhysRevE.90.022803
PMID: 25215777
Abstract: Using a geographical scale-free network to describe relations between people in a city, we explain both superlinear and sublinear allometric scaling of urban indicators that quantify activities or performances of the city. The urban indicator Y(N) of a city with the population size N is analytically calculated by summing up all individual activities produced by person-to-person relationships. Our results show that the urban indicator scales superlinearly with the population, namely, Y(N) alpha N-beta with beta > 1, if Y(N) represents a creative productivity and the indicator scales sublinearly (beta < 1) if Y(N) is related to the degree of infrastructure development. These results coincide with allometric scaling observed in real-world urban indicators. We also show how the scaling exponent beta depends on the strength of the geographical constraint in the network formation.
Rights: ©2014 American Physical Society
Type: article
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 矢久保 考介

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