Correlation between heterogeneity and vulnerability of subway networks based on passenger flow

In this paper, we represent a subway network as a dynamic, directed and weighted graph, where vertices represent subway stations and edge weights represent passenger volume passing between two stations. Static and dynamic metrics which can represent vertices and edges' local and global attributes are proposed. Then dynamic properties of subway network in heterogeneity and vulnerability are further analyzed by standard deviation. Through a detailed analysis of Beijing subway network, we illustrate that the heterogeneity and vulnerability of Beijing subway network vary over time when passenger flow is taken into consideration. In addition, the vulnerability of the network is correlated with its heterogeneity based on local dynamic metric's distribution when passenger flow is taken into account, instead of the global dynamic metric's distribution, and the important station with higher flow degrees are identified.