330个中国城市P空间下公交复杂网络实证研究

交通运输系统工程与信息 ›› 2013, Vol. 13 ›› Issue (1): 193-.

330个中国城市P空间下公交复杂网络实证研究

许晴，祖正虎，徐致靖，张文斗，郑涛^*

北京生物工程研究所，北京 100071

收稿日期:2012-07-12 修回日期:2012-08-13 出版日期:2013-02-25 发布日期:2013-03-04
作者简介:许晴（1983-），男，江苏徐州人，博士生.
基金资助:
国家自然科学基金（90924019）；国家科技重大专项（2013ＺＸ10004-605）.

Space PBased Empirical Research on Public Transport Complex Networks in 330 Cities of China

XU Qing, ZU Zheng-hu, XU Zhi-jing, ZHANG Wen-dou, ZHENG Tao

Beijing Institute of Biotechnology, Beijing 100071, China

Received:2012-07-12 Revised:2012-08-13 Online:2013-02-25 Published:2013-03-04

摘要/Abstract

摘要：

目前针对中国城市公交复杂网络的实证研究仍然仅限于数个大城市，而对不同规模城市的公交网络在拓扑结构上是否存在不依赖于人口、社会、经济等外部因素的共性特征,以及城市公交系统演化机制的研究尚不多见.本文实证研究了330个中国城市P空间下公交复杂网络结构特征，发现度分布普遍呈指数分布，表示公交网络演化机制为随机连接而非择优连接；普遍具有较大的簇系数和较小的平均最短路径，呈现典型的小世界特征；网络同配性在N=1 000处发生相变，N>1 000的网络普遍正相关，反之负相关.C与K呈幂律下降关系，表明各城市公交网络具有等级模块性.本文研究结果可为理解城市公交系统演化规律、交通网络建模研究提供指导和参考.

关键词: 城市交通, 公交复杂网络, P空间, 实证研究, 结构共性

Abstract:

The current empirical studies on public transport network of the cities in China are still limited to several large cities such as Beijing, Shanghai and Guangzhou. And the researches on whether the common topologies of public transport network for cities in different scales do not rely on some extend factors such as population, society or economic, and the researches on the evolutionary mechanisms of public transport network are still limited. This paper studies the public transport networks of 330 cities in China based on the space P concept. Statistical results show that the degree distribution of all networks can be described by an exponential function. It reveals that the evolution mechanism of public transport network is randomly connected instead of preferential attached. All the networks show typical smallworld behaviors which characterized by larger clustering coefficient and smaller average shortest path. A transition between the dissortative small networks N<1000 and assortative large networks N>1000 is observed. Average clustering coefficient of nodes with degree K decreases with K as a power law, shows that city bus transfer networks are well characterized by hierarchical modularity. The results of this study may provide guidance and reference for researches on evolution mechanism of urban public transport systems and transport network evolution modeling.

Key words: urban traffic, public transport complex networks, space P, empirical research, common topological properties

中图分类号:

许晴，祖正虎，徐致靖，张文斗，郑涛. 330个中国城市P空间下公交复杂网络实证研究[J]. 交通运输系统工程与信息, 2013, 13(1): 193-.

XU Qing, ZU Zheng-hu, XU Zhi-jing, ZHANG Wen-dou, ZHENG Tao. Space PBased Empirical Research on Public Transport Complex Networks in 330 Cities of China[J]. Journal of Transportation Systems Engineering and Information Technology, 2013, 13(1): 193-.

导出引用管理器 EndNote|Ris|BibTeX

链接本文: http://www.tseit.org.cn/CN/abstract/abstract18542.shtml

http://www.tseit.org.cn/CN/Y2013/V13/I1/193

参考文献

[1] Sienkiewicz J，Holyst J A.Statistical analysis of 22 public transport networks in Poland[J]. Physical Review E，2005，72(4)：046127.

[2] VonF C，Holovatch T，Holovatch Y，et al. Public transport networks: empirical analysis and modeling[J]. The European Physical Journal B，2009，68：261-275.

[3] Li P，Xiong X，Qiao Z L，et al. Topological properties of urban public traffic networks in Chinese topten biggest cities[J]. Chinese Physical Letters，2006，23(12)：3384-3387.

[4] Lu H P，Shi Y. Complexity of public transport networks[J]. Tsinghua Science and Technology，2007，12(2)：204-213.

[5] 顾前，杨旭华，王万良，等. 基于复杂网络的城市公共交通网络研究[J]. 计算机工程，2008，34(20)：266-268. [GU Q，YANG X H，WANG W L，et al. Research on urban public transport networks based on complex networks[J]. Computer Engineering，2008，34(20)：266-268. ]

[6] 惠伟，王红. 复杂网络在城市公交网络中的实证分析[J]. 计算机技术与发展, 2008, 18(11)：217-219. [HUI W，WANG H. Empirical analysis of complex networks in public traffic networks[J]. Computer Technology and Development，2008，18(11)：217-219. ]

[7] Sen P，Dasgupta S，Chatterjee A, et al. Smallworld properties of the Indian railway network[J]. Physical Review E，2003，67(3):036106.

[8] Latora V，Marchiori M. Is the Boston subway a smallworld network?[J] Physical A，2002，314(1):109-113.

[9] Wu J J，Gao Z Y，Sun H J，et al. Urban transit system as a scalefree network[J]. Modern Physics Letters B，2004，18(19&20)：1043-1049.

[10] 吴建军. 城市交通网络拓扑结构复杂性研究[D]. 北京交通大学，2008. [WU J J. Studies on the complexity of topology structure in the urban traffic network[D]. Beijing Jiaotong University，2008.]

[11] Pastor S R，Vázquez A，Vespignani A. Dynamical and correlation properties of the Internet[J]. Physical Review Letters，2001，87(25)：258701.

[12] Vázquez A，Pastor S R，Vespignani A. Largescale topological and dynamical properties of the Internet[J]. Physical Review E，002，65(6)：066130.

[13] Newman M E J. Assortative mixing in networks[J]. Phys Rev Lett, 2002, 89(20)：208701.

[14] Ravasz E，Barabási A L. Hierarchical organization in complex networks[J]. Physical Review E, 2003, 67(2)：026112.

[15] Ravasz E，Somera A L，Mongru D A，et al. Hierarchical organization of modularity in metabolic networks[J]. Science，2002，297(5586)：1551-1555.