中国城市地铁系统建模与介数演化分析
Network Construction and Evolution Analysis of Urban Metro Systems in China
余曼 1王高峡1
作者信息
- 1. 三峡大学理学院,湖北宜昌 443002
- 折叠
摘要
地铁系统的结构演化分析对于未来地铁系统的规划和发展具有预鉴作用和指导意义.以中国现阶段已开通的城市地铁系统为研究实例,运用可视化网络分析工具NodeXL枸建了多连通分支的中国城市地铁网络模型,从平均演化特征、总体演化范围及衰减演化速率等方面探究了节点介数关于网络规模呈现的函数特性和演变趋势.累积介数的二次函数特性演化趋势表明,介数的演变范围关于网络规模民主分配于网络中所有节点,而归一化最大、最小介数的幂律函数特性的指数差异表明,中心站点的影响力在地铁系统演变过程中始终比周边站点更为重要.
Abstract
Structural evolution analysis of metro systems has the preview role and guiding significance for the planning and development of future metro systems.In this paper,with the urban metro systems which have been in operation in China nowadays as the research subject,the Chinese urban metro networks with muhiple connected components are constructed using visual network analysis tool NodeXL.The function property and evolution tendency of nodes betweenness on the network scale are explored from several perspective of the average evolution characteristics,the overall evolution scope and the attenuation evolution rate,etc.The evolutionary trends of quadratic function characteristic for the cumulative betweenness indicate that the betweenness evolution range of stations in metro systems evenly distributes to all nodes in the network with the expansion of the network scale.The index difference between power-law function characteristics for the normalized maximum and minimum betweenness shows that the influence of the central stations are always more important than the surrounding stations with the evolution of the metro systems.
关键词
地铁系统/复杂网络/累积介数/演化分析Key words
Metro System/Complex Network/Cumulative Betweenness/Evolution Analysis引用本文复制引用
基金项目
国家自然科学基金(61273183)
湖北省自然科学基金(2013CFB216)
出版年
2016
NETL
NSTL
维普
万方数据