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Spatial Competition and Agglomeration in Urban Modelling

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  • A S Fotheringham

    (Department of Geography, University of Florida, Gainesville, FL 32611, USA)

Abstract

Many forms of urban models are retail oriented, that is, they depend to some degree on the allocation of shopping expenditures to particular destinations. Such an allocation is usually undertaken with the aid of a production-constrained gravity model, although this type of model ignores the relationship between retail expenditure patterns and spatial competition and agglomeration forces. The effect of such a relationship on urban structure is examined with the aid of a production-constrained competing destinations model in three situations: (1) in a simple facility-location problem, (2) in a Garin–Lowry model, and (3) in the use of catastrophe theory and bifurcation theory to examine urban dynamics. The replacement of the gravity model by the competing destinations model is shown to produce more realistic urban models and leads to new insights into structural dynamics.

Suggested Citation

  • A S Fotheringham, 1985. "Spatial Competition and Agglomeration in Urban Modelling," Environment and Planning A, , vol. 17(2), pages 213-230, February.
    • Handle: RePEc:sae:envira:v:17:y:1985:i:2:p:213-230
    DOI: 10.1068/a170213
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    References listed on IDEAS

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    1. Beaumont, J. R. & Clarke, M. & Wilson, A. G., 1981. "Changing energy parameters and the evolution of urban spatial structure," Regional Science and Urban Economics, Elsevier, vol. 11(3), pages 287-315, August.
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    Cited by:

    1. Wieland, Thomas, 2014. "Räumliches Einkaufsverhalten und Standortpolitik im Einzelhandel unter Berücksichtigung von Agglomerationseffekten: Theoretische Erklärungsansätze, modellanalytische Zugänge und eine empirisch-ökonome," MPRA Paper 77163, University Library of Munich, Germany.
    2. Vladimir Marianov & H. A. Eiselt, 2016. "On agglomeration in competitive location models," Annals of Operations Research, Springer, vol. 246(1), pages 31-55, November.
    3. Mattia Cattaneo & Paolo Malighetti & Michele Meoli & Stefano Paleari, 2017. "University spatial competition for students: the Italian case," Regional Studies, Taylor & Francis Journals, vol. 51(5), pages 750-764, May.
    4. Nan Dong & Xiaohuan Yang & Hongyan Cai & Liming Wang, 2015. "A Novel Method for Simulating Urban Population Potential Based on Urban Patches: A Case Study in Jiangsu Province, China," Sustainability, MDPI, vol. 7(4), pages 1-20, April.

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    1. Minoru Osawa & Takashi Akamatsu & Yosuke Kogure, 2020. "Stochastic stability of agglomeration patterns in an urban retail model," Papers 2011.06778, arXiv.org.

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