The analysis of water network of Beijing-Tianjin region based on the complex network theory

This paper aims to study the characteristics and spatial distribution of water network in Beijing-Tianjin region of China based on the complex network theory. Through construction of the weighted degree distribution model and clustering coefficient model, it is found that the network of natural rivers and the artificial channel are different network systems. The former tends to be a Scale-Free network which has power-law degree distribution with a bigger clustering coefficient, while the latter owns Random network features which has Poisson-oriented degree distribution with a smaller clustering coefficient. As the major role of natural river network, the water network of Beijing-Tianjin region tends to be a Scale-free network, which means that there must be a few significant nodes and areas that dominate the ecological and economic security of the whole region. Hence this paper also interpolates the degree of nodes by using the Kriging Interpolation function of ArcGIS9.0, and then the spatial distribution map of the nodes of water network in Beijing-Tianjin region was gained, showing that the significant nodes of water network mainly locate in Southeast area of Tianjin region and Northeast area of Beijing region.