基于度相关的地铁系统增长模式研究
Growth Patterns of Subway/Metro Systems Tracked by Degree Correlation
摘要：
城市交通系统随着城市人口的增长和流动以及他们的交通需求的发展而发展。典型的网络增长模型，如优先连接，通过节点来增长网络节点，而铁路和地铁系统则通过增加整条线路及其所有节点来增长。本文的目的是看看是否有任何规范的定期网络形式，如星或网格捕捉城市地铁系统的增长模式，我们有历史数据的旧地图。这些地图的数据显示，系统的皮尔逊度相关性随着时间的推移从最初的负值向正值逐渐增长，在某些情况下变得明显为正。我们已经推导出封闭形式的表达度的相关性和聚类系数的各种典型的形式，可能是类似的地铁系统。在所有这些研究中，只有少数几种类型的模式后，广域网（WAN）的“核心外围”结构显示出类似的正趋势的程度相关的网络规模的增加。这表明，大型地铁系统要么被设计成或演变成相当于信息载体，寻求平衡任意节点-目的地对之间的旅行，避免网络中心区域的拥塞。关键词：地铁，地下铁道，城市交通网络，关联度
英文摘要：
Urban transportation systems grow over time as city populations grow and move and their transportation needs evolve. Typical network growth models, such as preferential attachment, grow the network node by node whereas rail and metro systems grow by adding entire lines with all their nodes. The objective of this paper is to see if any canonical regular network forms such as stars or grids capture the growth patterns of urban metro systems for which we have historical data in terms of old maps. Data from these maps reveal that the systems' Pearson degree correlation grows increasingly from initially negative values toward positive values over time and in some cases becomes decidedly positive. We have derived closed form expressions for degree correlation and clustering coefficient for a variety of canonical forms that might be similar to metro systems. Of all those examined, only a few types patterned after a wide area network (WAN) with a "core-periphery" structure show similar positive-trending degree correlation as network size increases. This suggests that large metro systems either are designed or evolve into the equivalent of message carriers that seek to balance travel between arbitrary node-destination pairs with avoidance of congestion in the central regions of the network. Keywords: metro, subway, urban transport networks, degree correlation
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