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Scaling laws in urban supply networks

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  • Kühnert, Christian
  • Helbing, Dirk
  • West, Geoffrey B.
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    Abstract

    In previous work, it has been proposed that urban structures may be understood as a result of self-organization principles. In particular, researchers have identified fractal structures of public transportation networks and land use patterns. Here, we will study spatial distribution systems for energy, fuel, medical, and food supply. It is found that these systems show power-law scaling as well, when the number of “supply stations” is plotted over the population size. Surprisingly, only some supply systems display a linear scaling with population size. Others show sublinear or superlinear scaling. We suggest an interpretation regarding the kind of scaling law that is expected in dependence of the function and constraints of the respective supply system.

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    File URL: http://www.sciencedirect.com/science/article/pii/S037843710600094X
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 363 (2006)
    Issue (Month): 1 ()
    Pages: 96-103

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    Handle: RePEc:eee:phsmap:v:363:y:2006:i:1:p:96-103

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Supply network; Scaling; Power law; Urban agglomerations;

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    Cited by:
    1. Denise PUMAIN, 2012. "Une Théorie Géographique Pour La Loi De Zipf," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 31-54.
    2. Dalgaard, Carl-Johan & Strulik, Holger, 2011. "Energy distribution and economic growth," Resource and Energy Economics, Elsevier, vol. 33(4), pages 782-797.
    3. Dalgaard, Carl-Johan & Strulik, Holger, 2008. "Energy Distribution, Power Laws, and Economic Growth," Hannover Economic Papers (HEP) dp-385, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    4. Zhang, Jiang & Yu, Tongkui, 2010. "Allometric scaling of countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4887-4896.

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