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Some speculations on fractals and railway networks

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  • Benguigui, L.

Abstract

We propose a simulation of the underground railway network of Paris which has an apparent fractal dimension equal to 1.8. We show that it is very likely that this value is due to a finite size effect and that the true dimension is 2. This means that caution is necessary in using the concept of fractal in geography.

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  • Benguigui, L., 1992. "Some speculations on fractals and railway networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 75-78.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:75-78
    DOI: 10.1016/0378-4371(92)90508-N
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    Cited by:

    1. Carvalho, Rui & Penn, Alan, 2004. "Scaling and universality in the micro-structure of urban space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 539-547.
    2. Dupuy, Gabriel, 2013. "Network geometry and the urban railway system: the potential benefits to geographers of harnessing inputs from “naive” outsiders," Journal of Transport Geography, Elsevier, vol. 33(C), pages 85-94.

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