铁路货流分布的复杂性分析

以全国281个城市货运站间的货运量为依据，分析了城市年货运吞吐量与GDP之间的协同增长关系以及城市间货运量的统计分布规律，研究发现铁路货运量分布具有明显的幂率特性. 最后结合复杂网络理论，对铁路货运量进行了拓扑映射，形成了包含铁路货运站和货运量信息的有向复杂网络，并对所构建的网络的静态统计特征进行了分析. 同时采用货流临界值的方法进行控制产生不同的网络结构，研究发现对于不同的货流临界值，可以产生具有无标度特征和小世界特性的网络拓扑结构，这为我们研究铁路货流分布的复杂性及货运站场在网络中的重要性提供了一种新的研究方法.

Complexity Analysis of Rail Freight Traffic

Based on the freight volume in 281 cities of China, the paper investigates the statistical law of freight distribution and the relationships of the city’s annual freight volume and the GDP growth. It is found that the distribution of freight volume follows the power-law form. Additionally, the paper proposes a method to map the freight volume with a complex network topology, establishes directed complex networks including information of freight terminals and rail freight traffic and calculates the static statistical characteristics. In this process, the threshold method is used to produce different network. The results show that different thresholds generate the scale-free and small-world network, which provides a new way to analyze the complexity of the rail freight traffic and the importance of the freight terminal in the network.