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A Fractal Analysis of the Public Transportation System of Paris

Author

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  • L Benguigui

    (Solid State Institute and Department of Physics, Technion-Israel Institute of Technology, 32000 Haifa, Israel)

Abstract

An analysis of the railway networks of the public transportation system of Paris, based on the notion of fractals, is presented. The two basic networks, (metropolitan and suburban) which have different functions, have also a different fractal dimension: 1.8 for the metropolitan network, and 1.5 for the suburban network. By means of computer simulation, it is concluded that the true dimension of the metro network is probably 2.0. A fractal model of the suburban network, with the same features and the same fractal dimension, is proposed. This supports the conclusion that this network is fractal.

Suggested Citation

  • L Benguigui, 1995. "A Fractal Analysis of the Public Transportation System of Paris," Environment and Planning A, , vol. 27(7), pages 1147-1161, July.
    • Handle: RePEc:sae:envira:v:27:y:1995:i:7:p:1147-1161
    DOI: 10.1068/a271147
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    Cited by:

    1. 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.
    2. António Dinis F. Santos & Duarte Valério & J. A. Tenreiro Machado & António M. Lopes, 2019. "A fractional perspective to the modelling of Lisbon’s public transportation network," Transportation, Springer, vol. 46(5), pages 1893-1913, October.
    3. Pavón-Domínguez, P. & Rincón-Casado, A. & Ruiz, P. & Camacho-Magriñán, P., 2018. "Multifractal approach for comparing road transport network geometry: The case of Spain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 678-690.
    4. Lin Zhang & Jian Lu & Bai-bai Fu & Shu-bin Li, 2018. "A Review and Prospect for the Complexity and Resilience of Urban Public Transit Network Based on Complex Network Theory," Complexity, Hindawi, vol. 2018, pages 1-36, December.

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