Trajectory data analysis using complex networks

A massive amount of data on moving object trajectories is available today. However, it is still a major challenge to process such information in order to explain moving object interactions, which could help in revealing non-trivial behavioral patterns. To that end, we consider a complex networks-based representation of trajectory data. Frequent encounters among moving objects (trajectory encounters) are used to create the network edges whereas nodes represent trajectories. A real trajectory dataset of vehicles moving within the City of Milan allows us to study the structure of vehicle interactions and validate our method. We create seven networks and compute the clustering coefficient, and the average shortest path length comparing them with those of the Erdős-Rényi model. Our analysis shows that all computed trajectory networks have the small world effect and the scale-free feature similar to the internet and biological networks. Finally, we discuss how these results could be interpreted in the light of the traffic application domain.

[1]  Mathieu Bastian,et al.  Gephi: An Open Source Software for Exploring and Manipulating Networks , 2009, ICWSM.

[2]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[3]  Paul Erdös,et al.  On random graphs, I , 1959 .

[4]  F. Chung,et al.  Complex Graphs and Networks , 2006 .

[5]  Michael T. Gastner,et al.  The complex network of global cargo ship movements , 2010, Journal of The Royal Society Interface.

[6]  Markus Schneider,et al.  A foundation for representing and querying moving objects , 2000, TODS.

[7]  Diansheng Guo,et al.  A graph-based approach to vehicle trajectory analysis , 2010, J. Locat. Based Serv..

[8]  Albert-László Barabási,et al.  Understanding the Spreading Patterns of Mobile Phone Viruses , 2009, Science.

[9]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[10]  R. May Food webs. , 1983, Science.

[11]  Eduard Heindl,et al.  Understanding the spreading patterns of mobile phone viruses , 2012 .

[12]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[13]  Albert-László Barabási,et al.  Understanding individual human mobility patterns , 2008, Nature.

[14]  Dino Pedreschi,et al.  Mobility, Data Mining and Privacy - Geographic Knowledge Discovery , 2008, Mobility, Data Mining and Privacy.

[15]  Carlo Ratti,et al.  Real-Time Urban Monitoring Using Cell Phones: A Case Study in Rome , 2011, IEEE Transactions on Intelligent Transportation Systems.

[16]  Robert Weibel,et al.  Towards a taxonomy of movement patterns , 2008, Inf. Vis..

[17]  Ralf Hartmut Güting,et al.  SECONDO: A Platform for Moving Objects Database Research and for Publishing and Integrating Research Implementations , 2010, IEEE Data Eng. Bull..

[18]  Linyuan Lu,et al.  Complex Graphs and Networks (CBMS Regional Conference Series in Mathematics) , 2006 .

[19]  Michalis Faloutsos,et al.  A simple conceptual model for the Internet topology , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[20]  Fabio Porto,et al.  A conceptual view on trajectories , 2008, Data Knowl. Eng..