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A New Set of Spatial-Interaction Models: The Theory of Competing Destinationsâ€

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  • A S Fotheringham

Abstract

Members of the family of spatial-interaction models commonly referred to as gravity models are shown to be misspecified. One result of this misspecification is the occurrence of an undesirable ‘spatial-structure effect’ in estimated distance-decay parameters and this effect is examined in detail. An alternative set of spatial-interaction models is formulated from which more accurate predictions of interactions and more accurate parameter estimates can be obtained. These new interaction models are termed competing destinations models, and estimated distance-decay parameters obtained in their calibration are shown to have a purely behavioural interpretation. The implications of gravity-model misspecification are discussed.

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  • A S Fotheringham, 1983. "A New Set of Spatial-Interaction Models: The Theory of Competing Destinationsâ€," Environment and Planning A, , vol. 15(1), pages 15-36, January.
    • Handle: RePEc:sae:envira:v:15:y:1983:i:1:p:15-36
    DOI: 10.1177/0308518X8301500103
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    Cited by:

    1. Yamamoto, Toshiyuki & Li, Cheng & Morikawa, Takayuki, 2014. "An empirical analysis of the factors raising the interest in new shopping destinations," Journal of Retailing and Consumer Services, Elsevier, vol. 21(6), pages 950-957.
    2. Felipa De Mello-Sampayo, 2016. "A Spatial Analysis of Mental Healthcare in Texas," Spatial Economic Analysis, Taylor & Francis Journals, vol. 11(2), pages 152-175, June.
    3. Selim Çetiner & Canan Sepil & Haldun Süral, 2010. "Hubbing and routing in postal delivery systems," Annals of Operations Research, Springer, vol. 181(1), pages 109-124, December.
    4. Felipa de Mello-Sampayo, 2017. "Competing-destinations gravity model applied to trade in intermediate goods," Applied Economics Letters, Taylor & Francis Journals, vol. 24(19), pages 1378-1384, November.
    5. Jan Ubøe & Jens Petter Gitlesen & Inge Thorsen, 2008. "Laboratory Testing of Spurious Spatial Structure in Trip Distribution Models," Spatial Economic Analysis, Taylor & Francis Journals, vol. 3(3), pages 361-372.
    6. da Silva, Marcelino Aurélio Vieira & de Almeida D’Agosto, Marcio, 2013. "A model to estimate the origin–destination matrix for soybean exportation in Brazil," Journal of Transport Geography, Elsevier, vol. 26(C), pages 97-107.
    7. Martínez, L. Miguel & Viegas, José Manuel, 2013. "A new approach to modelling distance-decay functions for accessibility assessment in transport studies," Journal of Transport Geography, Elsevier, vol. 26(C), pages 87-96.
    8. McArthur, David Philip & Kleppe, Gisle & Thorsen, Inge & Ubøe, Jan, 2011. "The spatial transferability of parameters in a gravity model of commuting flows," Journal of Transport Geography, Elsevier, vol. 19(4), pages 596-605.
    9. M. Hodgson & Soren Jacobsen, 2009. "A hierarchical location-allocation model with travel based on expected referral distances," Annals of Operations Research, Springer, vol. 167(1), pages 271-286, March.
    10. Song, Haiyan & Qiu, Richard T.R. & Park, Jinah, 2019. "A review of research on tourism demand forecasting," Annals of Tourism Research, Elsevier, vol. 75(C), pages 338-362.
    11. Dolega, Les & Pavlis, Michalis & Singleton, Alex, 2016. "Estimating attractiveness, hierarchy and catchment area extents for a national set of retail centre agglomerations," Journal of Retailing and Consumer Services, Elsevier, vol. 28(C), pages 78-90.

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