运用复杂网络方法分析城市道路网的鲁棒性

Robustness Analysis of Urban Street Networks Using Complex Network Method

道路网的鲁棒性分析有助于预防或者降低恐怖袭击、自然灾害以及交通拥堵造成的损失。从开放街道地图上获得世界范围内的50个城市道路网,沿用复杂网络鲁棒性分析方法,运用连续删除模型和级联模型对以道路链相交关系表示的城市道路网进行了鲁棒性分析,同时对路网的鲁棒性与其拓扑模式间的关系进行了探讨。研究发现,对于路网的鲁棒性,运用连续删除模型和级联模型所得到的鲁棒性结果存在差异。其中,连续删除模型的道路网鲁棒性普遍较差;而级联模型的鲁棒性,不同路网之间的差别较大;对于同一模型下的度策略和介数策略,介数策略的破坏性大于度策略。对于路网鲁棒性与其拓扑模式的关系,在连续删除模型下,路网鲁棒性与度相关性呈现显著正相关,无标度与非无标度的路网鲁棒性有差异;在级联模型下,路网鲁棒性与度相关性不相关,无标度与非无标度的路网鲁棒性差异不显著。

Robustness analysis of street network can contribute to the precaution and loss reduction of terrorism attacks,natural disasters and traffic congestion.We have obtained 50 urban road networks around the world from OpenStreetMap.On the basis of complex network robustness analysis method,we utilize the successive removal model and the cascade model to analyze the urban road network represented by the intersecting relationship of patterns,and discuss the relationship between the robustness of the road network and its topological patterns.It is found that the robustness varies when the network is under different attack model;it also differentiates when the attach strategy is targeting high-degree or high-betweenness nodes.The robustness of urban street networks is sensitive to the attach model and strategy.The road networks show less robustness under consecutive attack,while they vary considerably under cascade attack.In terms of the attack strategies,the betweenness strategy is more destructive than degree strategy under successive removal and the cascade models,which signifies that the high-betweenness nodes play a more important role.The assortativity of street network is significantly positively correlated with its robustness against successive removal of nodes while significant difference observed for the robustness of scale-free and non-scale-free networks under the same model.The robustness under cascade attack shows no correlation with network assortativity and does not differ significantly between groups of different scale-free properties.