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Functional Form and Spatial Interaction Models

Author

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  • T J Fik

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

  • G F Mulligan

    (Department of Geography and Regional Development, University of Arizona, Tucson, AZ 85721, USA)

Abstract

This paper is an examination of functional form and functional misspecification in regression-based spatial interaction models. Box–Cox transformations are used to model US state-to-state labor migration. Attention is given to the production-constrained gravity model, the competing and intervening destinations (CID) model, and an extension of the CID model which uses dummy variables and an iterative transformation procedure. Statistical evidence supports the argument that the use of highly restrictive log-linear specifications may be inappropriate and problematic. Implications for spatial interaction modeling using general nonrestrictive functional forms are discussed.

Suggested Citation

  • T J Fik & G F Mulligan, 1998. "Functional Form and Spatial Interaction Models," Environment and Planning A, , vol. 30(8), pages 1497-1507, August.
    • Handle: RePEc:sae:envira:v:30:y:1998:i:8:p:1497-1507
    DOI: 10.1068/a301497
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    References listed on IDEAS

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    Cited by:

    1. Jingya Luan & Yuhong Tian & Chi Yung Jim & Xu Liu & Mengxuan Yan & Lizhu Wu, 2023. "Assessing Spatial Accessibility of Community Hospitals for the Elderly in Beijing, China," IJERPH, MDPI, vol. 20(1), pages 1-19, January.
    2. Badi H. Baltagi & Dong Li, 2001. "LM Tests for Functional Form and Spatial Error Correlation," International Regional Science Review, , vol. 24(2), pages 194-225, April.
    3. Juan Martín & Gustavo Nombela, 2007. "Microeconomic impacts of investments in high speed trains in Spain," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 41(3), pages 715-733, September.
    4. Jacob J de Vries & Peter Nijkamp & Piet Rietveld, 2009. "Exponential or Power Distance-Decay for Commuting? An Alternative Specification," Environment and Planning A, , vol. 41(2), pages 461-480, February.
    5. Peter Congdon, 2010. "Random‐effects models for migration attractivity and retentivity: a Bayesian methodology," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 173(4), pages 755-774, October.
    6. Šveda, Martin & Madajová, Michala Sládeková, 2023. "Estimating distance decay of intra-urban trips using mobile phone data: The case of Bratislava, Slovakia," Journal of Transport Geography, Elsevier, vol. 107(C).
    7. Jan Ubøe, 2004. "Aggregation of Gravity Models for Journeys to Work," Environment and Planning A, , vol. 36(4), pages 715-729, April.
    8. Liv Osland & Inge Thorsen & Jens Petter Gitlesen, 2007. "Housing Price Gradients in a Region with One Dominating Center," Journal of Real Estate Research, American Real Estate Society, vol. 29(3), pages 321-346.
    9. Yuri Andrienko & Sergei Guriev, 2004. "Determinants of interregional mobility in Russia," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 12(1), pages 1-27, March.
    10. A. Porojan, 2001. "Trade Flows and Spatial Effects: The Gravity Model Revisited," Open Economies Review, Springer, vol. 12(3), pages 265-280, July.
    11. Yuri Andrienko & Sergei Guriev, 2003. "Determinants of Interregional Mobility in Russia: Evidence from Panel Data," William Davidson Institute Working Papers Series 551, William Davidson Institute at the University of Michigan.
    12. Le, Canh Quang & Li, Dong, 2008. "Double-Length Regression tests for testing functional forms and spatial error dependence," Economics Letters, Elsevier, vol. 101(3), pages 253-257, December.
    13. Guodong Sun & Mu Mu, 2013. "Understanding variations and seasonal characteristics of net primary production under two types of climate change scenarios in China using the LPJ model," Climatic Change, Springer, vol. 120(4), pages 755-769, October.
    14. Li Dong & Le Canh, 2010. "Nonlinearity and Spatial Lag Dependence: Tests Based on Double-Length Regressions," Journal of Time Series Econometrics, De Gruyter, vol. 2(1), pages 1-18, June.
    15. Nancy Lozano-Gracia & Gianfranco Piras & Ana Maria Ibáñez & Geoffrey J. D. Hewings, 2010. "The Journey to Safety: Conflict-Driven Migration Flows in Colombia," International Regional Science Review, , vol. 33(2), pages 157-180, April.
    16. Yuhong Tian & C. Y. Jim & Yiqing Liu, 2017. "Using a Spatial Interaction Model to Assess the Accessibility of District Parks in Hong Kong," Sustainability, MDPI, vol. 9(11), pages 1-14, October.
    17. Glenn, Paul & Thorsen, Inge & Ubøe, Jan, 2004. "Wage payoffs and distance deterrence in the journey to work," Transportation Research Part B: Methodological, Elsevier, vol. 38(9), pages 853-867, November.
    18. Rongwei Wu & Degang Yang & Lu Zhang & Jinwei Huo, 2018. "Spatio-Temporal Patterns and Determinants of Inter-Provincial Migration in China 1995–2015," Sustainability, MDPI, vol. 10(11), pages 1-22, October.
    19. Liv Osland & Inge Thorsen & Jens Petter Gitlesen, 2004. "The impact of labour market accessibility on housing prices," ERSA conference papers ersa04p355, European Regional Science Association.

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