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Scaling and correlations in three bus-transport networks of China

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  • Xu, Xinping
  • Hu, Junhui
  • Liu, Feng
  • Liu, Lianshou

Abstract

We report the statistical properties of three bus-transport networks (BTN) in three different cities of China. These networks are composed of a set of bus lines and stations serviced by these. Network properties, including the degree distribution, clustering and average path length are studied in different definitions of network topology. We explore scaling laws and correlations that may govern intrinsic features of such networks. Besides, we create a weighted network representation for BTN with lines mapped to nodes and number of common stations to weights between lines. In such a representation, the distributions of degree, strength and weight are investigated. A linear behavior between strength and degree s(k)∼k is also observed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:1:p:441-448
    DOI: 10.1016/j.physa.2006.06.021
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    5. Ouyang, Min & Zhao, Lijing & Hong, Liu & Pan, Zhezhe, 2014. "Comparisons of complex network based models and real train flow model to analyze Chinese railway vulnerability," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 38-46.
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    7. Yang, Xu-Hua & Chen, Guang & Chen, Sheng-Yong & Wang, Wan-Liang & Wang, Lei, 2014. "Study on some bus transport networks in China with considering spatial characteristics," Transportation Research Part A: Policy and Practice, Elsevier, vol. 69(C), pages 1-10.
    8. Yang, Xu-Hua & Chen, Guang & Sun, Bao & Chen, Sheng-Yong & Wang, Wan-Liang, 2011. "Bus transport network model with ideal n-depth clique network topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4660-4672.
    9. Zachary Neal, 2018. "Is the Urban World Small? The Evidence for Small World Structure in Urban Networks," Networks and Spatial Economics, Springer, vol. 18(3), pages 615-631, September.
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    12. Ouyang, Min & Pan, ZheZhe & Hong, Liu & He, Yue, 2015. "Vulnerability analysis of complementary transportation systems with applications to railway and airline systems in China," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 248-257.
    13. Shanmukhappa, Tanuja & Ho, Ivan Wang-Hei & Tse, Chi Kong, 2018. "Spatial analysis of bus transport networks using network theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 295-314.
    14. Psaltoglou, Artemis & Calle, Eusebi, 2018. "Enhanced connectivity index – A new measure for identifying critical points in urban public transportation networks," International Journal of Critical Infrastructure Protection, Elsevier, vol. 21(C), pages 22-32.
    15. Luo, Ding & Cats, Oded & van Lint, Hans & Currie, Graham, 2019. "Integrating network science and public transport accessibility analysis for comparative assessment," Journal of Transport Geography, Elsevier, vol. 80(C).
    16. 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.
    17. Dong-Joon Kang & Su-Han Woo, 2017. "Liner shipping networks, port characteristics and the impact on port performance," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 19(2), pages 274-295, June.
    18. Zhang, Jianhua & Wang, Shuliang & Zhang, Zhaojun & Zou, Kuansheng & Shu, Zhan, 2016. "Characteristics on hub networks of urban rail transit networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 502-507.
    19. Yang, Xu-Hua & Wang, Bo & Chen, Sheng-Yong & Wang, Wan-Liang, 2012. "Epidemic dynamics behavior in some bus transport networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 917-924.
    20. Sui, Yi & Shao, Fengjing & Yu, Xiang & Sun, Rencheng & Li, Shujing, 2019. "Public transport network model based on layer operations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 984-995.
    21. Manjalavil, Manju Manohar & Ramadurai, Gitakrishnan, 2020. "Topological properties of bus transit networks considering demand and service utilization weight measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    22. Dimitrov, Stavri Dimitri & Ceder, Avishai (Avi), 2016. "A method of examining the structure and topological properties of public-transport networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 373-387.
    23. Feng, Shumin & Hu, Baoyu & Nie, Cen & Shen, Xianghao, 2016. "Empirical study on a directed and weighted bus transport network in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 85-92.

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