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本文首先实证研究了中国航空网(CAN)与外部经济环境,即国民生产总值(GDP)的相关性,进而揭示CAN的演化方式及其拓扑特征的起源.发现自1998年起网络节点的度与其GDP成线性关系,表明了网络拓扑与经济因素有密切的联系,且CAN的度演化服从类似于多重过程(multiplicative process)的模式,而该模式又强烈依赖于GDP的增长率.这种独特的模式暗示了CAN具有类似适应度模型的微观机理.通过对演化方程的研究发现:1)CAN在增长过程中,节点加入的时刻具有经济上的偏好性,即节点加入的时刻与该节点的初始GDP的对数成负线性关系;2)特别地,发现该演化模式耦合指数增长的节点可以产生双段幂率的度分布.将模拟仿真结果与实际的CAN度分布比较,发现两者基本符合.这表明在GDP增长率驱动下的类似多重过程的动力学方程真实地刻画了CAN的度演化,并且是导致网络出现双段幂率度分布的原因.
This paper first empirically studies the correlation between China’s aviation network (CAN) and the external economic environment, ie, gross domestic product (GDP), and then reveals the evolution of CAN and the origins of its topological features. And its GDP linear relationship shows that the network topology and economic factors are closely linked, and the evolution of CAN subordinate to a process similar to the multiplicative process (multiplicative process) model, which in turn strongly depends on the GDP growth rate. This unique Model implies that CAN has a microcosmic mechanism of similar fitness model.Study on evolution equation shows that: 1) In the process of CAN growth, CAN has economic preference at the moment of joining, that is, The initial logarithm of GDP has a negative linear relationship.2) In particular, it is found that the node with the exponential growth of evolution-mode coupling can produce the degree distribution of double-stage power rate.Comparing the simulation results with the actual CAN degree distribution, it is found that the two basic This shows that the dynamics of a similar multiple process driven by GDP growth rate truly depict the degree evolution of CAN and result in a double-degree power rate distribution in the network the reason.