Research On Characteristics And Coupling Coordination Of Beijing-Tianjin-Hebei Railway Network Based On Complex Network Theory

With the continuous progress of Beijing-Tianjin-Hebei urban agglomeration synergy,the transportation integration has made a huge breakthrough.As a significant part of the transportation strategy,the railage has gradually become the main mode of intercity transportation in recent years.This paper uses L space and P space methods respectively to build the geographic network and traffic network based on complex network theory and studies the railway network of Beijing-Tianjin-Hebei urban agglomeration from the perspectives of infrastructure construction and passenger accessibility.Firstly,this paper analyzes the characteristics of geographic network and traffic network,which are mainly divided into two aspects: one is the network topological properties,which means some parameters like degree & degree distribution?shortest path length?clustering coefficient?betweenness are used to reflect the network characteristics.The results show that the two networks have completely different topological properties.The geographic network is more like a random network,while the traffic network embodies the characteristics of a small world;Another is the network robustness.This paper simulates the robustness of the railway network when it is damaged in diversified methods.The global robustness of the network is calculated in the condition of continuous attacks.The influence of nodes and edges is calculated in the condition of single attack.The results show that deliberate attack has a greater impact on the robustness of the network than random attack,and the average influence of nodes and edges in the geographic network is much greater than that of the traffic network.Multi-angle and multi-layer discussion not only enriches the study on network characteristics based on complex network theory,but also presents the current structure development and unsubstantial robustness of Beijing-Tianjin-Hebei railway network.This paper puts forward some optimization suggestions to strengthen the safety and stability of the railway network,which makes this paper realistic.Secondly,the characteristics differences between geographic networks and traffic networks reflect a realistic problem: when the infrastructure construction and the passenger accessibility are not in the same level,can the city continue to grow in a coordinated and sustainable way? In this paper,geographic network and traffic network are regarded as two subsystems which are used to calculate the coupling coordination of railway system in the method called AFSA-PP,while the network characteristics are the evaluation index.And the coupling coordination considering urban economy is proposed to evaluate the development of the urban railway.The results show that the coupling coordination of Beijing-Tianjin-Hebei railway is uneven,and the level gap between cities is large.Beijing has the best coupling coordination,Tianjin,Shijiazhuang and Baoding are also at a high level,but other cities have poor coupling coordination.The results which consider urban economy show that there are 6 synchronous development cities,5 railoriented cities,and 2 urban economy-oriented cities.Combining the concept of coupling coordination with complex network is a new idea in the study of railway network,which can provide theoretical support for the urban railway development.This paper contains 41 figures,26 tables and 60 references.