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

Author

Listed:
  • Qian, Jiang-Hai
  • Yang, Cheng-Hao
  • Han, Ding-Ding
  • Ma, Yu-Gang

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.

Suggested Citation

  • Qian, Jiang-Hai & Yang, Cheng-Hao & Han, Ding-Ding & Ma, Yu-Gang, 2012. "Multi-scaling mix and non-universality between population and facility density," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5146-5152.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:21:p:5146-5152
    DOI: 10.1016/j.physa.2012.05.038
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    Cited by:

    1. Xianyuan Chang & Zhaoping Wu & Yi Chen & Yuanyuan Du & Longfei Shang & Ying Ge & Jie Chang & Guofu Yang, 2021. "The Booming Number of Museums and Their Inequality Changes in China," Sustainability, MDPI, vol. 13(24), pages 1-19, December.
    2. Lee, Ji-Hye & Jo, Junghyo & Kim, Jong Won & Lee, Keumsook & Choi, M.Y., 2022. "Spatial distributions of restaurants emerging from pedestrian behavior and online information sharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    3. Yisheng Peng & Jiahui Liu & Tianyao Zhang & Xiangyang Li, 2021. "The Relationship between Urban Population Density Distribution and Land Use in Guangzhou, China: A Spatial Spillover Perspective," IJERPH, MDPI, vol. 18(22), pages 1-19, November.

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