Research Center of Logistics, Research Institute of Highway, Ministry of Transport, Beijing, 100088, China.
College of Engineering, Key Laboratory of Urban Rail Transit Intelligent Operation and Maintenance Technology & Equipment of Zhejiang Province, Zhejiang Normal University, Jinhua, 321004, China.
Sci Rep. 2022 May 18;12(1):8326. doi: 10.1038/s41598-022-12053-3.
Metro systems extended rapidly in China, especially in the last decade, developing over a half-century. This work explores the dynamical evolution of the structural efficiency of metro systems interpreted as complex networks for 14 large cities in mainland China. Based on the empirical observations, we find that the global efficiencies scale with the number of stations and counter-intuitively decreases as the metro networks expand, which shows a long-tail characteristic. The evolution of metro networks is, in essence, the improvement of the relative ratio of average nodal efficiency in the core compared to global efficiency. These relationships are in good agreement with the temporal structure of metro networks. Besides, we find that the metro stations with the higher efficiencies are those surrounding the urban center, and most of them dwell within the core and gradually expand the branches in space. Our findings suggest that the evolution properties of metro systems influenced by numerous geographical, historical, and social activities suggest that underlying, universal mechanisms are at play during their evolution in the spatial-temporal dimension.
中国的地铁系统发展迅速，尤其是在过去十年中，经历了半个多世纪的发展。本工作探讨了中国大陆 14 个大城市地铁系统作为复杂网络的结构效率的动态演变。基于经验观察，我们发现全球效率与车站数量呈正相关，但与地铁网络的扩展呈反相关，这显示出长尾特征。地铁网络的演化本质上是核心区平均节点效率相对于全局效率的相对比值的提高。这些关系与地铁网络的时间结构很好地吻合。此外，我们发现效率较高的地铁站位于城市中心周围，其中大部分位于核心区，并逐渐向空间的分支扩展。我们的研究结果表明，受众多地理、历史和社会活动影响的地铁系统的演化特性表明，在其时空维度的演化过程中存在着潜在的、普遍的机制。
