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A family of spatial interaction models, and associated developments


  • A G Wilson


This paper shows that the gravity model is not a single model but that there is a whole family of spatial interaction models. The properties of this family are outlined in some detail. Basic concepts of such models can be developed in a variety of ways, and these are illustrated. The paper then outlines a number of other theoretical developments, and is particularly concerned with the disaggregation of such models, with the incorporation of time variables, and with the relation of spatial interaction, to more general, models. Uses of spatial interaction models are outlined briefly and the final section of the paper draws a number of conclusions and presents a summary.

Suggested Citation

  • A G Wilson, 1971. "A family of spatial interaction models, and associated developments," Environment and Planning A, Pion Ltd, London, vol. 3(1), pages 1-32, January.
  • Handle: RePEc:pio:envira:v:3:y:1971:i:1:p:1-32

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    Cited by:

    1. Martin Watts, 2016. "Analytical and conceptual issues in the interpretation of doubly constrained spatial interaction models," Letters in Spatial and Resource Sciences, Springer, vol. 9(2), pages 189-200, July.
    2. Romain Reuillon & Clara Schmitt & Ricardo De Aldama & Jean-Baptiste Mouret, 2015. "A New Method to Evaluate Simulation Models: The Calibration Profile (CP) Algorithm," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 18(1), pages 1-12.
    3. Philippe Toint & Thierry Eggerickx & Philippe Gerber & Samuel Carpentier & Eric Cornelis & Luc Dal & Sylvain Klein & Xavier Pauly & Fabien Walle, 2011. "Mobilities and long term location choices in Belgium," Working Papers halshs-01132893, HAL.
    4. Ferrari, C. & Parola, F. & Gattorna, E., 2011. "Measuring the quality of port hinterland accessibility: The Ligurian case," Transport Policy, Elsevier, vol. 18(2), pages 382-391, March.
    5. repec:elg:eechap:14395_23 is not listed on IDEAS
    6. M. Alonso & M. Beamonte & P. Gargallo & M. Salvador, 2014. "Labour and residential accessibility: a Bayesian analysis based on Poisson gravity models with spatial effects," Journal of Geographical Systems, Springer, vol. 16(4), pages 409-439, October.
    7. Tóth, Géza & Kincses, Áron, 2015. "Accessibility Models Based On the Gravity Analogy: In Theory and Practice," MPRA Paper 73952, University Library of Munich, Germany.
    8. Ahmed El-Geneidy & David Levinson, 2011. "Place Rank: Valuing Spatial Interactions," Networks and Spatial Economics, Springer, vol. 11(4), pages 643-659, December.
    9. Andrea De Montis & Simone Caschili & Daniele Trogu, 2014. "Spatial organization and accessibility: a study of US counties," Chapters,in: Accessibility and Spatial Interaction, chapter 6, pages 113-132 Edward Elgar Publishing.
    10. Simone Caschili & Francesca Medda & Alan Wilson, 2015. "An Interdependent Multi-Layer Model: Resilience of International Networks," Networks and Spatial Economics, Springer, vol. 15(2), pages 313-335, June.
    11. Daniel Griffith & Manfred Fischer, 2013. "Constrained variants of the gravity model and spatial dependence: model specification and estimation issues," Journal of Geographical Systems, Springer, vol. 15(3), pages 291-317, July.
    12. Oshan, Taylor M, 2016. "A primer for working with the Spatial Interaction modeling (SpInt) module in the python spatial analysis library (PySAL)," REGION, European Regional Science Association, vol. 3, pages 11-23.
    13. Ottensmann, John R. & Lindsey, Greg, 2008. "A Use-Based Measure of Accessibility to Linear Features to Predict Urban Trail Use," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 1(1), pages 41-63.
    14. Kevin Manaugh & Ahmed El- Geneidy, 2012. "Who benefits from new transportation infrastructure? Using accessibility measures to evaluate social equity in public transport provision," Chapters,in: Accessibility Analysis and Transport Planning, chapter 12, pages 211-227 Edward Elgar Publishing.
    15. Nijkamp, Peter & Poot, Jacques, 1987. "Dynamics of generalised spatial interaction models," Regional Science and Urban Economics, Elsevier, vol. 17(3), pages 367-390, August.
    16. repec:elg:eechap:14395_20 is not listed on IDEAS
    17. Wei Zhu & Harry Timmermans, 2011. "Modeling pedestrian shopping behavior using principles of bounded rationality: model comparison and validation," Journal of Geographical Systems, Springer, vol. 13(2), pages 101-126, June.
    18. repec:eee:soceps:v:59:y:2017:i:c:p:13-25 is not listed on IDEAS
    19. Ian Molho, 2013. "Theories of Migration: A Review," Scottish Journal of Political Economy, Scottish Economic Society, vol. 60(5), pages 526-556, November.
    20. Sellner, Richard & Fischer, Manfred M. & Koch, Matthias, 2010. "A spatial autoregressive Poisson gravity model," MPRA Paper 77551, University Library of Munich, Germany.
    21. Tong, Lu & Zhou, Xuesong & Miller, Harvey J., 2015. "Transportation network design for maximizing space–time accessibility," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 555-576.

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