Correlations and scaling laws in human mobility.
BACKGROUND
In recent years, several path-breaking findings on human mobility patterns point out a novel issue which is of important theoretical significance and great application prospects. The empirical analysis of the data which can reflect the real-world human mobility provides the basic cognition and verification of the theoretical models and predictive results on human mobility. One of the most noticeable findings in previous studies on human mobility is the wide-spread scaling anomalies, e.g. the power-law-like displacement distributions. Understanding the origin of these scaling anomalies is of central importance to this issue and therefore is the focus of our discussion.


RESULTS
In this paper, we empirically analyze the real-world human movements which are based on GPS records, and observe rich scaling properties in the temporal-spatial patterns as well as an abnormal transition in the speed-displacement patterns together with an evidence to the real-world traffic jams. In addition, we notice that the displacements at the population level show a significant positive correlation, indicating a cascading-like nature in human movements. Furthermore, our analysis at the individual level finds that the displacement distributions of users with stronger correlations usually are closer to the power law, suggesting a correlation between the positive correlation of the displacement series and the form of an individual's displacement distribution.


CONCLUSIONS
These empirical findings make connections between the two basic properties of human mobility, the scaling anomalies on displacement distributions and the positive correlations on displacement series, implying the cascading-like dynamics which is exhibited by the positive correlations would cause the emergence of scaling properties on human mobility patterns. Our findings would inspire further researches on mechanisms and predictions of human mobility.
Alibaba Research Center for Complexity Sciences, Hangzhou Normal University, Hangzhou, China ; Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, United States of America ; Department of Modern Physics, University of Science and Technology of China, Hefei, China.
Xiang-Wen
XW
Wang
Alibaba Research Center for Complexity Sciences, Hangzhou Normal University, Hangzhou, China.
Xiao-Pu
XP
Han
Department of Modern Physics, University of Science and Technology of China, Hefei, China ; College of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou, China ; The Research Center for Complex System Science, University of Shanghai for Science and Technology, Shanghai, China.
Bing-Hong
BH
Wang
D006801:Humans; D008954:Models, Biological; D009068:Movement / Q000502:physiology*; D013997:Time Factors