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A spatial model for social networks

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  • Wong, Ling Heng
  • Pattison, Philippa
  • Robins, Garry

Abstract

We study spatial embeddings of random graphs in which nodes are randomly distributed in geographical space. We let the edge probability between any two nodes to be dependent on the spatial distance between them and demonstrate that this model captures many generic properties of social networks, including the “small-world” properties, skewed degree distribution, and most distinctively the existence of community structures.

Suggested Citation

  • Wong, Ling Heng & Pattison, Philippa & Robins, Garry, 2006. "A spatial model for social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(1), pages 99-120.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:1:p:99-120
    DOI: 10.1016/j.physa.2005.04.029
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    References listed on IDEAS

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    1. Hoff P.D. & Raftery A.E. & Handcock M.S., 2002. "Latent Space Approaches to Social Network Analysis," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1090-1098, December.
    2. Garry Robins & Malcolm Alexander, 2004. "Small Worlds Among Interlocking Directors: Network Structure and Distance in Bipartite Graphs," Computational and Mathematical Organization Theory, Springer, vol. 10(1), pages 69-94, May.
    3. Stanley Wasserman & Philippa Pattison, 1996. "Logit models and logistic regressions for social networks: I. An introduction to Markov graphs andp," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 401-425, September.
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    Cited by:

    1. Dimitrios Tsiotas & Serafeim Polyzos, 2018. "The Complexity in the Study of Spatial Networks: an Epistemological Approach," Networks and Spatial Economics, Springer, vol. 18(1), pages 1-32, March.
    2. Wang, Yaoli & Kutadinata, Ronny & Winter, Stephan, 2019. "The evolutionary interaction between taxi-sharing behaviours and social networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 119(C), pages 170-180.
    3. Ducruet, César, 2017. "Multilayer dynamics of complex spatial networks: The case of global maritime flows (1977–2008)," Journal of Transport Geography, Elsevier, vol. 60(C), pages 47-58.
    4. Mirja Meyborg & Axel Schaffer, 2014. "Regional and global collaborations for knowledge in German academia," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 34(2), pages 157-176, October.
    5. Brian R. Hirshman & Jesse Charles & Kathleen M. Carley, 2011. "Leaving us in tiers: can homophily be used to generate tiering effects?," Computational and Mathematical Organization Theory, Springer, vol. 17(4), pages 318-343, November.
    6. Hegemann, Rachel A. & Smith, Laura M. & Barbaro, Alethea B.T. & Bertozzi, Andrea L. & Reid, Shannon E. & Tita, George E., 2011. "Geographical influences of an emerging network of gang rivalries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3894-3914.
    7. Johannes Illenberger & Kai Nagel & Gunnar Flötteröd, 2013. "The Role of Spatial Interaction in Social Networks," Networks and Spatial Economics, Springer, vol. 13(3), pages 255-282, September.
    8. Postigo-Boix, Marcos & Melús-Moreno, José L., 2018. "A social model based on customers’ profiles for analyzing the churning process in the mobile market of data plans," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 571-592.
    9. Lynne Hamill & Nigel Gilbert, 2009. "Social Circles: A Simple Structure for Agent-Based Social Network Models," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(2), pages 1-3.
    10. Hackney, Jeremy & Marchal, Fabrice, 2011. "A coupled multi-agent microsimulation of social interactions and transportation behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(4), pages 296-309, May.
    11. Meysam Alizadeh & Claudio Cioffi-Revilla & Andrew Crooks, 2017. "Generating and analyzing spatial social networks," Computational and Mathematical Organization Theory, Springer, vol. 23(3), pages 362-390, September.
    12. Stefano Guarino & Enrico Mastrostefano & Massimo Bernaschi & Alessandro Celestini & Marco Cianfriglia & Davide Torre & Lena Rebecca Zastrow, 2021. "Inferring Urban Social Networks from Publicly Available Data," Future Internet, MDPI, vol. 13(5), pages 1-45, April.
    13. Marijn A. Keijzer & Michael Mäs & Andreas Flache, 2018. "Communication in Online Social Networks Fosters Cultural Isolation," Complexity, Hindawi, vol. 2018, pages 1-18, November.
    14. Ronald, Nicole & Arentze, Theo & Timmermans, Harry, 2012. "Modeling social interactions between individuals for joint activity scheduling," Transportation Research Part B: Methodological, Elsevier, vol. 46(2), pages 276-290.
    15. Maness, Michael & Cirillo, Cinzia & Dugundji, Elenna R., 2015. "Generalized behavioral framework for choice models of social influence: Behavioral and data concerns in travel behavior," Journal of Transport Geography, Elsevier, vol. 46(C), pages 137-150.
    16. César Ducruet & Laurent Beauguitte, 2014. "Spatial Science and Network Science: Review and Outcomes of a Complex Relationship," Networks and Spatial Economics, Springer, vol. 14(3), pages 297-316, December.
    17. Wang, Tai-Chi & Phoa, Frederick Kin Hing, 2016. "A scanning method for detecting clustering pattern of both attribute and structure in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 295-309.

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