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Rise and fall of historic tram networks: Logistic approximation and discontinuous events

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  • Doménech-Carbó, Antonio

Abstract

A logistic approximation was used to describe, in terms of total length (L) and population (H) variables, the growth and decay of historic transportation systems. Three successive stages, separated for sharp discontinuities were detected for several European tramway and metro systems, corresponding to a fast initial growth followed by an intermediate step of slow growth and a final stage of rapid decay. A common, generalized behaviour was obtained in the L/H vs. H variations relative to critical values of L and H parameters defined from the maximum in the L/H ratio.

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  • Doménech-Carbó, Antonio, 2019. "Rise and fall of historic tram networks: Logistic approximation and discontinuous events," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 315-323.
    • Handle: RePEc:eee:phsmap:v:522:y:2019:i:c:p:315-323
    DOI: 10.1016/j.physa.2019.02.002
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    1. Jia, Tao & Qin, Kun & Shan, Jie, 2014. "An exploratory analysis on the evolution of the US airport network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 266-279.
    2. Yang, Zhijie & Chen, Xiaolong, 2018. "Evolution assessment of Shanghai Urban Rail Transit Network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 1263-1274.
    3. Latora, Vito & Marchiori, Massimo, 2002. "Is the Boston subway a small-world network?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 109-113.
    4. West, Bruce J., 2015. "Exact solution to fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 103-108.
    5. Sybil Derrible & Christopher Kennedy, 2011. "Applications of Graph Theory and Network Science to Transit Network Design," Transport Reviews, Taylor & Francis Journals, vol. 31(4), pages 495-519.
    6. Chen, Yanguang, 2012. "Fractal dimension evolution and spatial replacement dynamics of urban growth," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 115-124.
    7. D’Ovidio, Mirko & Loreti, Paola, 2018. "Solutions of fractional logistic equations by Euler’s numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1081-1092.
    8. Redelico, Francisco O. & Proto, Araceli N. & Ausloos, Marcel, 2008. "Power law for the duration of recession and prosperity in Latin American countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6330-6336.
    9. Chen, Yanguang, 2014. "An allometric scaling relation based on logistic growth of cities," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 65-77.
    10. He, Hong-di & Wang, Jun-li & Wei, Hai-rui & Ye, Cheng & Ding, Yi, 2016. "Fractal behavior of traffic volume on urban expressway through adaptive fractal analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 518-525.
    11. Zhang, Jun & Cao, Xian-Bin & Du, Wen-Bo & Cai, Kai-Quan, 2010. "Evolution of Chinese airport network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3922-3931.
    12. M Batty & P Longley & S Fotheringham, 1989. "Urban Growth and Form: Scaling, Fractal Geometry, and Diffusion-Limited Aggregation," Environment and Planning A, , vol. 21(11), pages 1447-1472, November.
    13. Du, Wen-Bo & Liang, Bo-Yuan & Hong, Chen & Lordan, Oriol, 2017. "Analysis of the Chinese provincial air transportation network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 579-586.
    14. Zou, Liuhua & Pei, Wenjiang & Li, Tao & He, Zhenya & Cheung, Yiuming, 2007. "Topological fractal networks introduced by mixed degree distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 592-600.
    15. Ausloos, M. & Petroni, F., 2009. "Statistical dynamics of religion evolutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4438-4444.
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