An improved model considering traditional network properties to assess spatial vulnerability of a network system

We have recently reported a new spatial vulnerability model, which proposed two important curves (i.e., impact curve and neutral curve) and two quantified indices (i.e., absolute spatial vulnerability index and relative spatial vulnerability index) to assess the global impact of spatially local hazards on network systems (Li et al. 2015 Guo XM, Hu XB, Li H, et al. 2015. A study on spatial-temporal rainstorm risk at civil airports in China. J Risk Anal Crisis Response 5:188–198 [Google Scholar]). This paper aims to further investigate and improve the practicability of the new spatial vulnerability model. As some traditional network properties, such as the shortest path, betweenness and connectivity, are often used to assess the vulnerability of network systems, this paper develops a methodology of applying traditional network properties to analyze the spatial vulnerability of network systems. To this end, we firstly describe the new spatial vulnerability model, then analyze its relationship with traditional network properties, and at last conduct a case study on the Beijing subway network to verify this relationship. The results show that, when the global impact of spatially local hazards on network systems is concerned in vulnerability assessment, the combination of some traditional network properties and the new spatial vulnerability model can deliver an effective approach.