Advertisement

Robustness and closeness centrality for self-organized and planned cities

Abstract

Street networks are important infrastructural transportation systems that cover a great part of the planet. It is now widely accepted that transportation properties of street networks are better understood in the interplay between the street network itself and the so-called information or dual network, which embeds the topology of the street network’s navigation system. In this work, we present a novel robustness analysis, based on the interaction between the primal and the dual transportation layer for two large metropolises, London and Chicago, thus considering the structural differences to intentional attacks for self-organized and planned cities. We elaborate the results through an accurate closeness centrality analysis in the Euclidean space and in the relationship between primal and dual space. Interestingly enough, we find that even if the considered planar graphs display very distinct properties, the information space induce them to converge toward systems which are similar in terms of transportation properties.

References

  1. 1.

    P. Blinder, A. Shih, C. Rafie, D. Kleinfeld, Proc. Natl. Acad. Sci. USA 107, 12670 (2010)

  2. 2.

    L.K. Gallos, H.A. Makse, M. Sigman, Proc. Natl. Acad. Sci. 109, 2825 (2012)

  3. 3.

    G. Theraulaz et al., Proc. Natl. Acad. Sci. USA 99, 9645 (2002)

  4. 4.

    A. Cardillo, M. Zanin, J. Gómez-Gardeñes, M. Romance, A.J.G. del Amo, S. Boccaletti, Eur. Phys. J. Special Topics 215, 23 (2013)

  5. 5.

    M. Batty, Cities and Complexity (The MIT Press, Cambridge, MA, 2005)

  6. 6.

    G. Zipf, Human Behavior and the Principle of Least Effort (Addison-Wesley Press, Cambridge, 1949)

  7. 7.

    R. Gibrat, Les Inégalités Economiques (Sirey, Paris, 1931)

  8. 8.

    M. Batty, P. Longley, Fractal Cities: A Geometry of Form and Function (Academic Press, San Diego, London, 2004) (available at: www.fractalcities.org)

  9. 9.

    R. Murcio, A.P. Masucci, E. Arcaute, M. Batty, Phys. Rev. E 92, 062130 (2015)

  10. 10.

    M. Rosvall, A. Trusina, P. Minnhagen, K. Sneppen, Phys. Rev. Lett. 94 (2005)

  11. 11.

    S. Porta, P. Crucitti, V. Latora, Physica A 369, 853 (2006)

  12. 12.

    B. Jiang, C. Claramunt, Environ. Plann. B 31, 151 (2004)

  13. 13.

    A.P. Masucci, K. Stanilov, M. Batty, Phys. Rev. E 89, 012805 (2014)

  14. 14.

    A.P. Masucci, D. Smith, A. Crooks, M. Batty, Eur. Phys. J. B 71, 259 (2009)

  15. 15.

    M. Batty, CASA Working Paper 75, https://www.bartlett.ucl.ac.uk/casa/publications/working-paper-75 (2004), last visited 02/2016

  16. 16.

    B. Hillier, A. Leaman, P. Stansall, M. Bedford, Environ. Plann. B 3, 147 (1976)

  17. 17.

    B. Hillier, L. Vaughan, Progress in Planning 67, 205 (2007)

  18. 18.

    F. Xie, D. Levinson, Geograph. Anal. 39, 336 (2007)

  19. 19.

    S.N. Dorogovtsev, J.F.F. Mendes, Proc. R. Soc. London Ser. B 268, 2603 (2001)

  20. 20.

    A.P. Masucci, A. Kalampokis, V.M. Eguíluz, E. Hernández-García, PloS one 6, e17333 (2011)

  21. 21.

    M.P. Viana, E. Strano, P. Bordin, M. Barthelemy, Sci. Rep. 3, 3495 (2013)

  22. 22.

    C. Lagesse, P. Bordin, S. Douady, Netw. Sci. 3, 156 (2015)

  23. 23.

    http://www.ordnancesurvey.co.uk/, last visited 02/2016

  24. 24.

    http://gis.dot.illinois.gov/gist2/, last visited 02/ 2016

  25. 25.

    A.P. Masucci, E. Arcaute, E. Hatna, K. Stanilov, M. Batty, J. R. Soc. Interface 12, 20150763 (2015)

  26. 26.

    E. Arcaute, E. Hatna, P. Ferguson, H. Youn, A. Johansson, M. Batty, J. R. Soc. Interface 12, 20140745 (2015)

  27. 27.

    B. Jiang, T. Jia, Int. J. Geographical Inf. Sci. 25, 1269 (2011)

  28. 28.

    V. Kalapala, V. Sanwalani, A. Clauset, C. Moore, Phys. Rev. E 73, 026130 (2006)

  29. 29.

    D.J. Watts, S.H. Strogatz, Nature 393, 440 (1998)

  30. 30.

    S.N. Dorogovtsev, J.F. Mendes, Evolution of networks: From biological nets to the Internet and WWW (Oxford University Press, 2013)

  31. 31.

    J. Buhl, J. Gautrais, N. Reeves, R. Solé, S. Valverde, P. Kuntz, G. Theraulaz, Eur. Phys. J. B 49, 513 (2006)

  32. 32.

    D. Stauffer, A. Aharony, Introduction To Percolation Theory (Taylor and Francis Ltd., London, 1985)

  33. 33.

    A.P. Masucci, K. Stanilov, M. Batty, PLoS One 8, e69469 (2013)

  34. 34.

    M. Mungan, A. Kabakloğlu, D. Balcan, A. Erzan, J. Phys. A 38, 9599 (2005)

  35. 35.

    M. De Domenico, A. Solé-Ribalta, E. Cozzo, M. Kivelä, Y. Moreno, M.A. Porter, S. Gómez, A. Arenas, Phys. Rev. X 3, 041022 (2013)

Download references

Author information

Correspondence to A. Paolo Masucci.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Paolo Masucci, A., Molinero, C. Robustness and closeness centrality for self-organized and planned cities. Eur. Phys. J. B 89, 53 (2016). https://doi.org/10.1140/epjb/e2016-60431-2

Download citation

Keywords

  • Statistical and Nonlinear Physics