Multi-scaling mix and non-universality between population and facility density

Jiang-Hai Qian, Cheng-Hao Yang, Ding-Ding Han and Yu-Gang Ma

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 21, 5146-5152

Abstract: The distribution of facilities is closely related to our social economic activities. Recent studies have reported a scaling relation between population and facility density, with the exponent depending on the type of facility. In this paper, we show that generally this exponent is not universal for a specific type of facility. Instead, by using Chinese data, we find that it increases with per capita gross domestic product (GDP). Thus our observed scaling law is actually a mixture of several multi-scaling relations. This result indicates that facilities may change their public or commercial attributes according to the outside environment. We argue that this phenomenon results from an unbalanced regional economic level, and suggest a modification of a previous model by introducing the consuming capacity. The modified model reproduces most of our observed properties.

Keywords: Social economic activities; Population and facility density; Multi-scaling mix; Unbalanced regional economic level; Consuming capacity (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:21:p:5146-5152

DOI: 10.1016/j.physa.2012.05.038

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