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Understanding individual human mobility patterns

Nature volume 453, pages 779782 (05 June 2008) | Download Citation

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  • An Addendum to this article was published on 12 March 2009

Abstract

Despite their importance for urban planning1, traffic forecasting2 and the spread of biological3,4,5 and mobile viruses6, our understanding of the basic laws governing human motion remains limited owing to the lack of tools to monitor the time-resolved location of individuals. Here we study the trajectory of 100,000 anonymized mobile phone users whose position is tracked for a six-month period. We find that, in contrast with the random trajectories predicted by the prevailing Lévy flight and random walk models7, human trajectories show a high degree of temporal and spatial regularity, each individual being characterized by a time-independent characteristic travel distance and a significant probability to return to a few highly frequented locations. After correcting for differences in travel distances and the inherent anisotropy of each trajectory, the individual travel patterns collapse into a single spatial probability distribution, indicating that, despite the diversity of their travel history, humans follow simple reproducible patterns. This inherent similarity in travel patterns could impact all phenomena driven by human mobility, from epidemic prevention to emergency response, urban planning and agent-based modelling.

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References

  1. 1.

    & S Embedding economies of scale concepts for hub networks design. J. Transp. Geogr. 9, 255–265 (2001)

  2. 2.

    , , & Micro-simulation of daily activity-travel patterns for travel demand forecasting. Transportation 27, 25–51 (2000)

  3. 3.

    , , , & Modeling the worldwide spread of pandemic influenza: baseline case and containment interventions. PLoS Medicine 4, 95–110 (2007)

  4. 4.

    et al. Controlling epidemics in realistic urban social networks. Nature 429, 180–184 (2004)

  5. 5.

    , & Forecast and control of epidemics in a globalized world. Proc. Natl Acad. Sci. USA 101, 15124–15129 (2004)

  6. 6.

    The wireless epidemic. Nature 449, 287–288 (2007)

  7. 7.

    , & The scaling laws of human travel. Nature 439, 462–465 (2006)

  8. 8.

    & Diffusion in disordered media. Adv. Phys. 51, 187–292 (2002)

  9. 9.

    et al. Lévy flight search patterns of wandering albatrosses. Nature 381, 413–415 (1996)

  10. 10.

    et al. Lévy walk patterns in the foraging movements of spider monkeys (Ateles geoffroyi). Behav. Ecol. Sociobiol. 273, 1743–1750 (2004)

  11. 11.

    et al. Scaling laws of marine predator search behaviour. Nature 451, 1098–1102 (2008)

  12. 12.

    , & Beyond brownian motion. Phys. Today 49, 33–39 (1996)

  13. 13.

    & Stochastic process with ultraslow convergence to a gaussian: the truncated Lévy flight. Phys. Rev. Lett. 73, 2946–2949 (1994)

  14. 14.

    et al. Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer. Nature 449, 1044–1049 (2007)

  15. 15.

    et al. in Proc. 8th Int. Conf. UbiComp 2006 212–224 (Springer, Berlin, 2006)

  16. 16.

    et al. Structure and tie strengths in mobile communication networks. Proc. Natl Acad. Sci. USA 104, 7332–7336 (2007)

  17. 17.

    & Complex networks: from data to models. Nature Physics 3, 224–225 (2007)

  18. 18.

    , & Quantifying social group evolution. Nature 446, 664–667 (2007)

  19. 19.

    & The dynamics of a mobile phone network. Physica A 387, 3017–3024 (2008)

  20. 20.

    The origin of bursts and heavy tails in human dynamics. Nature 435, 207–211 (2005)

  21. 21.

    A Guide to First-Passage Processes (Cambridge Univ. Press, Cambridge, UK, 2001)

  22. 22.

    , , & First-passage times in complex scale-invariant media. Nature 450, 77–80 (2007)

  23. 23.

    & Habitual travel behaviour: evidence from a six-week travel diary. Transportation 30, 13–36 (2003)

  24. 24.

    & Eigenbehaviours: identifying structure in routine. Behav. Ecol. Sociobiol. (in the press)

  25. 25.

    , & Modeling the Internet’s large-scale topology. Proc. Natl Acad. Sci. USA 99, 13382–13386 (2002)

  26. 26.

    Scale-Free Networks: Complex Webs in Nature and Technology. (Oxford Univ. Press, New York, 2007)

  27. 27.

    & Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford Univ. Press, New York, 2003)

  28. 28.

    , & Self-similarity of complex networks. Nature 433, 392–395 (2005)

  29. 29.

    , & A system of mobile agents to model social networks. Phys. Rev. Lett. 96, 088702 (2006)

  30. 30.

    , , & Diffusion, peer pressure, and tailed distributions. Phys. Rev. Lett. 89, 088102 (2002)

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Acknowledgements

We thank D. Brockmann, T. Geisel, J. Park, S. Redner, Z. Toroczkai, A. Vespignani and P. Wang for discussions and comments on the manuscript. This work was supported by the James S. McDonnell Foundation 21st Century Initiative in Studying Complex Systems, the National Science Foundation within the DDDAS (CNS-0540348), ITR (DMR-0426737) and IIS-0513650 programs, and the US Office of Naval Research Award N00014-07-C. Data analysis was performed on the Notre Dame Biocomplexity Cluster supported in part by the NSF MRI grant number DBI-0420980. C.A.H. acknowledges support from the Kellogg Institute at Notre Dame.

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Affiliations

  1. Center for Complex Network Research and Department of Physics, Biology and Computer Science, Northeastern University, Boston, Massachusetts 02115, USA

    • Marta C. González
    • , César A. Hidalgo
    •  & Albert-László Barabási
  2. Center for Complex Network Research and Department of Physics and Computer Science, University of Notre Dame, Notre Dame, Indiana 46556, USA

    • César A. Hidalgo
    •  & Albert-László Barabási
  3. Center for Cancer Systems Biology, Dana Farber Cancer Institute, Boston, Massachusetts 02115, USA

    • Albert-László Barabási

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Correspondence to Albert-László Barabási.

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    Supplementary information

    The file contains Supplementary Data with Supplementary Figures S1-S9 and additional references.

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https://doi.org/10.1038/nature06958

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