中国能源消费地区关联网络的统计性质及结构特征测度

Statistical Property and Structural Character Evaluation of Regional Energy Consumption Associative Network in China

文章利用引力系数构建30个省份间的关联关系网络,在对该网络的无标度分布、小世界效应等统计性质进行测度的基础上,评估其网络分布中的整体结构特征、个体位置指针以及群体结构指针。结果发现：该网络是符合具有弱小世界效应的网络类型,其度分布是幂律值为1.022的无标度分布。而且是具有良好通达性的低密度网络,省份间的信息传输效率较高,存在着一定多重叠加性;关联关系分布普遍存在,省份间等级结构较高,但并非“等级森严”。整体网络中的核心-边缘结构不太明显,但子网核心边缘结构突出,子网内部和跨子网能源流动均不容忽视。

This paper uses gravitational coefficient to construct an association relationship network among 30 provinces, and evaluates whole structures, node structure and cluster structures in the network distribution on the basis of the measurement of scale-free distribution, small world effect and other statistical properties of the network. Results are as follows： The network has weak small world effect property; the node degree follows the power-law distribution and has scale-free properties with the coefficient value 1.022; this network has the characteristics of low density and good network accessibility, with higher inter-provincial information transmission efficiency and some multiple overlay additivity; the associations are common and the inter-provincial nodes are of higher hierarchy, but not rigidly stratified; the whole network doesn＇ t show typical core-periphery structure, while sub-networks manifests typical core-periphery structure; the energy flows inside the subnet and across the sub-networks cannot be ignored.