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Superlinear and sublinear urban scaling in geographical networks modeling cities
| 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 |
| URI: | http://hdl.handle.net/2115/57081 |
| 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)
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Submitter: 矢久保 考介
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