IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v360y2006i1p99-120.html
   My bibliography  Save this article

A spatial model for social networks

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105004334
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2005.04.029?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Marijn A. Keijzer & Michael Mäs & Andreas Flache, 2018. "Communication in Online Social Networks Fosters Cultural Isolation," Complexity, Hindawi, vol. 2018, pages 1-18, November.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Samrachana Adhikari & Beau Dabbs, 2018. "Social Network Analysis in R: A Software Review," Journal of Educational and Behavioral Statistics, , vol. 43(2), pages 225-253, April.
    2. Chih‐Sheng Hsieh & Lung‐Fei Lee & Vincent Boucher, 2020. "Specification and estimation of network formation and network interaction models with the exponential probability distribution," Quantitative Economics, Econometric Society, vol. 11(4), pages 1349-1390, November.
    3. Sayan Chakraborty & Arnab Bhattacharjee & Taps Maiti, 2021. "Structural Factorization of Latent Adjacency Matrix, with an application to Auto Industry Networks," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 185-206, November.
    4. Tracy M. Sweet, 2019. "Modeling Social Networks as Mediators: A Mixed Membership Stochastic Blockmodel for Mediation," Journal of Educational and Behavioral Statistics, , vol. 44(2), pages 210-240, April.
    5. Jing Wang & Anocha Aribarg & Yves F. Atchadé, 2013. "Modeling Choice Interdependence in a Social Network," Marketing Science, INFORMS, vol. 32(6), pages 977-997, November.
    6. Federica Bianchi & Francesco Bartolucci & Stefano Peluso & Antonietta Mira, 2020. "Longitudinal networks of dyadic relationships using latent trajectories: evidence from the European interbank market," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 69(4), pages 711-739, August.
    7. Patacchini, Eleonora & Hsieh, Chih-Sheng & Lin, Xu, 2019. "Social Interaction Methods," CEPR Discussion Papers 14141, C.E.P.R. Discussion Papers.
    8. Peter D. Hoff, 2009. "Multiplicative latent factor models for description and prediction of social networks," Computational and Mathematical Organization Theory, Springer, vol. 15(4), pages 261-272, December.
    9. Tracy M. Sweet, 2015. "Incorporating Covariates Into Stochastic Blockmodels," Journal of Educational and Behavioral Statistics, , vol. 40(6), pages 635-664, December.
    10. Cai, Wei & Guan, Guoyu & Pan, Rui & Zhu, Xuening & Wang, Hansheng, 2018. "Network linear discriminant analysis," Computational Statistics & Data Analysis, Elsevier, vol. 117(C), pages 32-44.
    11. Ron Boschma & Pierre-Alexandre Balland & Mathijs de Vaan, 2014. "The formation of economic networks: a proximity approach," Chapters, in: André Torre & Frédéric Wallet (ed.), Regional Development and Proximity Relations, chapter 7, pages 243-266, Edward Elgar Publishing.
    12. Lee, Jihui & Li, Gen & Wilson, James D., 2020. "Varying-coefficient models for dynamic networks," Computational Statistics & Data Analysis, Elsevier, vol. 152(C).
    13. Dzemski, Andreas, 2017. "An empirical model of dyadic link formation in a network with unobserved heterogeneity," Working Papers in Economics 698, University of Gothenburg, Department of Economics, revised Apr 2018.
    14. Teague R. Henry & Kathleen M. Gates & Mitchell J. Prinstein & Douglas Steinley, 2020. "Modeling Heterogeneous Peer Assortment Effects Using Finite Mixture Exponential Random Graph Models," Psychometrika, Springer;The Psychometric Society, vol. 85(1), pages 8-34, March.
    15. Joshua Daniel Loyal & Yuguo Chen, 2020. "Statistical Network Analysis: A Review with Applications to the Coronavirus Disease 2019 Pandemic," International Statistical Review, International Statistical Institute, vol. 88(2), pages 419-440, August.
    16. Francesca Pallotti & Alessandro Lomi & Daniele Mascia, 2013. "From network ties to network structures: Exponential Random Graph Models of interorganizational relations," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(3), pages 1665-1685, April.
    17. Tracy M. Sweet & Andrew C. Thomas & Brian W. Junker, 2013. "Hierarchical Network Models for Education Research," Journal of Educational and Behavioral Statistics, , vol. 38(3), pages 295-318, June.
    18. Skyler J. Cranmer & Bruce A. Desmarais & Elizabeth J. Menninga, 2012. "Complex Dependencies in the Alliance Network," Conflict Management and Peace Science, Peace Science Society (International), vol. 29(3), pages 279-313, July.
    19. Teague R. Henry & David Banks & Derek Owens-Oas & Christine Chai, 2019. "Modeling Community Structure and Topics in Dynamic Text Networks," Journal of Classification, Springer;The Classification Society, vol. 36(2), pages 322-349, July.
    20. Ian E. Fellows & Mark S. Handcock, 2023. "Modeling of networked populations when data is sampled or missing," METRON, Springer;Sapienza Università di Roma, vol. 81(1), pages 21-35, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:360:y:2006:i:1:p:99-120. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.