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Modelling Hierarchical Destination Choice

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  • A S Fotheringham

    (Department of Geography, 3141 TUR, University of Florida, Gainesville, FL 32611, USA)

Abstract

The production-constrained gravity formulation is shown to be an especially inaccurate specification of reality whenever the selection of destinations by individuals results from a hierarchical choice process. Hierarchical decisionmaking violates the Independence from Irrelevant Alternatives property embedded in the theoretical derivation of the production-constrained gravity model from choice axioms. Various aspects of gravity model misspecification resulting from hierarchical destination choice are investigated and an empirical example is given in terms of US migrants. A discussion is presented of several destination choice models that are more accurately specified than the gravity formulation when destination choice is hierarchical. The recently derived competing destinations formulation is shown to be amongst the most useful in this respect. The discussion is framed in the context of discrete choice theory.

Suggested Citation

  • A S Fotheringham, 1986. "Modelling Hierarchical Destination Choice," Environment and Planning A, , vol. 18(3), pages 401-418, March.
  • Handle: RePEc:sae:envira:v:18:y:1986:i:3:p:401-418
    DOI: 10.1068/a180401
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    References listed on IDEAS

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    1. Hausman, Jerry A & Wise, David A, 1978. "A Conditional Probit Model for Qualitative Choice: Discrete Decisions Recognizing Interdependence and Heterogeneous Preferences," Econometrica, Econometric Society, vol. 46(2), pages 403-426, March.
    2. Anas, Alex, 1983. "Discrete choice theory, information theory and the multinomial logit and gravity models," Transportation Research Part B: Methodological, Elsevier, vol. 17(1), pages 13-23, February.
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    Cited by:

    1. Halás, Marián & Klapka, Pavel & Kladivo, Petr, 2014. "Distance-decay functions for daily travel-to-work flows," Journal of Transport Geography, Elsevier, vol. 35(C), pages 107-119.
    2. Arthur (Yan) Huang & David Levinson, 2015. "Axis of travel: Modeling non-work destination choice with GPS data," Working Papers 000113, University of Minnesota: Nexus Research Group.
    3. Marius Th?riault & Fran?ois Des Rosiers and Jean Dub?, 2007. "Testing the Temporal Stability of Accessibility Value in Residential Hedonic Prices," SCIENZE REGIONALI, FrancoAngeli Editore, vol. 2007(3), pages 5-46.
    4. De Valck, Jeremy & Broekx, Steven & Liekens, Inge & Aertsens, Joris & Vranken, Liesbet, 2014. "Testing the influence of substitutes in nature valuation by using spatial discounting factors," Working Papers 182808, Katholieke Universiteit Leuven, Centre for Agricultural and Food Economics.
    5. Ho, Chinh Q. & Hensher, David A., 2016. "A workplace choice model accounting for spatial competition and agglomeration effects," Journal of Transport Geography, Elsevier, vol. 51(C), pages 193-203.
    6. 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.
    7. Jeffrey Newman & Vincent Bernardin, 2010. "Hierarchical ordering of nests in a joint mode and destination choice model," Transportation, Springer, vol. 37(4), pages 677-688, July.
    8. Yongwan Chun, 2008. "Modeling network autocorrelation within migration flows by eigenvector spatial filtering," Journal of Geographical Systems, Springer, vol. 10(4), pages 317-344, December.
    9. José Miguel Navarro-Azorín & Andrés Artal-Tur, 2017. "How much does urban location matter for growth?," European Planning Studies, Taylor & Francis Journals, vol. 25(2), pages 298-313, February.
    10. Gitlesen, Jens Petter & Kleppe, Gisle & Thorsen, Inge & Ubøe, Jan, 2006. "An empirically based implementation and evaluation of a network model for commuting flows," Discussion Papers 2006/4, Norwegian School of Economics, Department of Business and Management Science.
    11. 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.
    12. 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.
    13. Danalet, Antonin & Tinguely, Loïc & Lapparent, Matthieu de & Bierlaire, Michel, 2016. "Location choice with longitudinal WiFi data," Journal of choice modelling, Elsevier, vol. 18(C), pages 1-17.
    14. John R. Roy, 1998. "Areas, nodes and networks: Some analytical considerations," ERSA conference papers ersa98p94, European Regional Science Association.
    15. repec:elg:eechap:14395_20 is not listed on IDEAS
    16. 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.
    17. Xin Lao & Tiyan Shen & Hengyu Gu, 2018. "Prospect on China’s Urban System by 2020: Evidence from the Prediction Based on Internal Migration Network," Sustainability, MDPI, vol. 10(3), pages 1-21, February.
    18. 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.
    19. John Stillwell, 2005. "Inter-regional migration modelling - a review and assessment," ERSA conference papers ersa05p770, European Regional Science Association.

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