动态空间约束网络模型及其双段幂律特征

A Spatial Network Model with Dynamic Constraints and Its Double Power Law Feature

为了寻找双段幂律分布可能的产生机制,提出了一种基于约束面积双值跳变的动态空间约束网络模型。理论解析和模拟仿真结果表明该模型的度分布会在演化初期呈现单段幂律,而后演化为稳定的双段幂律。为验证模型在现实中的有效性,对中国航空网络做了实证分析。实证结果不仅给出了如理论模型所预言的度分布演化模式,还直接观测到了模型所要求的匹配其度分布的约束面积的变化趋势。理论模型可为双段幂律度分布提供一种可能的解释。

In order to find the possible generation mechanism of double power law distribution,a spatial network model with dynamic constraints was proposed in this paper based on double-value confined areas.The results of theoretical analysis and simulation showed that the degree distribution of the model presented a single power law in the early stage of evolution,and then evolved into a stable double power law.Furthermore,we made an empirical analysis on Chinese aviation network to verify the validity of the model in reality.The empirical results not only gave the evolution patterns of degree distribution as predicted by theoretical model,but also enabled us to directly observe the evolution trend of the confined area required by model to match its degree distribution.Our theoretical model could provide a possible explanation for the emergence of double power law degree distribution.