基于随机矩阵理论的城市人群移动行为分析

Analysis of urban human mobility behavior based on random matrix theory

移动通信应用为人类移动规律的研究提供了独特的数据来源.本文通过城市手机用户的分布数据,研究城市移动人群的整体动力学行为.借助随机矩阵理论的方法,通过比较移动人群数据与随机数据在互相关矩阵谱分布上的差异,发现移动人群数据互相关矩阵的相关系数均值、最大本征值及其对应的本征向量明显偏离于随机互相关矩阵的分布,指出这种差异体现了城市移动人群的整体行为特性,且这种差异在不同时间段也会有所不同.研究结果体现出相关系数的均值和最大本征值的波动趋势,并指出本征向量成员权重的时空模式与城市移动人群整体行为特征的波动过程非常符合.

Mobile communication applications provide a unique data source for the research of human mobility pattern.Based on the distribution data of urban mobile phone users,in this paper is explored the macroscopic dynamical behavior of urban mobility human by using the method of random matrix theory.The largest eigenvalue and the corresponding eigenvector of mobile phone user data deviate far from the distribution of random matrix.The deviations from random matrix vary with time.We find that the largest eigenvalue corresponds to a whole behavior common to all urban human mobility.The results indicate the temporal trends of the mean of correlation coefficient and the largest eigenvalue.We also find that the spatio temporal evolution of the weight of eigenvector components for the eigenvector corresponding to the largest eigenvalue is very consistent with the fluctuation pattern of the macroscopic behavior of urban human mobility.