The complexity and robustness of metro networks
Transportation systems, being real-life examples of networks, are particularly interesting to analyze from the viewpoint of the new and rapidly emerging field of network science. Two particular concepts seem to be particularly relevant: scale-free patterns and small-worlds. By looking at 33 metro systems in the world, this paper adapts network science methodologies to the transportation literature, and offers one application to the robustness of metros; here, metro refers to urban rail transit with exclusive right-of-way, whether it is underground, at grade or elevated. We find that most metros are indeed scale-free (with scaling factors ranging from 2.10 to 5.52) and small-worlds; they show atypical behaviors, however, with increasing size. In particular, the presence of transfer-hubs (stations hosting more than three lines) results in relatively large scaling factors. The analysis provides insights/recommendations for increasing the robustness of metro networks. Smaller networks should focus on creating transfer stations, thus generating cycles to offer alternative routes. For larger networks, few stations seem to detain a certain monopole on transferring, it is therefore important to create additional transfers, possibly at the periphery of city centers; the Tokyo system seems to remarkably incorporate these properties.
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Volume (Year): 389 (2010)
Issue (Month): 17 ()
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- M. Goldstein & S. Morris & G. Yen, 2004. "Problems with fitting to the power-law distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(2), pages 255-258, 09.
- Feng Xie & David Levinson, 2007.
"Modeling the Growth of Transportation Networks: A comprehensive review,"
200907, University of Minnesota: Nexus Research Group.
- Feng Xie & David Levinson, 2009. "Modeling the Growth of Transportation Networks: A Comprehensive Review," Networks and Spatial Economics, Springer, vol. 9(3), pages 291-307, September.
- Seaton, Katherine A. & Hackett, Lisa M., 2004. "Stations, trains and small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 635-644.
- Angeloudis, Panagiotis & Fisk, David, 2006. "Large subway systems as complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 553-558.
- C. von Ferber & T. Holovatch & Yu. Holovatch & V. Palchykov, 2009. "Public transport networks: empirical analysis and modeling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 68(2), pages 261-275, March.
- Daganzo, Carlos F., 2010. "Structure of competitive transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 434-446, May.
- Sun, H.J. & Wu, J.J. & Gao, Z.Y., 2008. "Dynamics of traffic networks: From microscopic and macroscopic perspectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(7), pages 1648-1654.
- Li, W. & Cai, X., 2007. "Empirical analysis of a scale-free railway network in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 693-703.
- 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.
- von Ferber, C. & Holovatch, T. & Holovatch, Yu. & Palchykov, V., 2007. "Network harness: Metropolis public transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 585-591.
- David Levinson & Bhanu Yerra, 2006.
"Self Organization of Surface Transportation Networks,"
200603, University of Minnesota: Nexus Research Group.
- David Levinson & Bhanu Yerra, 2006. "Self-Organization of Surface Transportation Networks," Transportation Science, INFORMS, vol. 40(2), pages 179-188, May.
- Sybil Derrible & Christopher Kennedy, 2010. "Characterizing metro networks: state, form, and structure," Transportation, Springer, vol. 37(2), pages 275-297, March.
- Tadić, Bosiljka, 2001. "Dynamics of directed graphs: the world-wide Web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(1), pages 273-284.
- B. Berche & C. von Ferber & T. Holovatch & Yu. Holovatch, 2009. "Resilience of public transport networks against attacks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(1), pages 125-137, September.
- Xu, Xinping & Hu, Junhui & Liu, Feng & Liu, Lianshou, 2007. "Scaling and correlations in three bus-transport networks of China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 441-448.
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