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Testing the hypothesis of stability in spatial econometric models

Author

Listed:
  • Jesús Mur
  • Fernando López
  • Ana Angulo

Abstract

The objective of this paper is to advance in the discussion of the topic of heterogeneity in a spatial econometric model. The proposal is not a novelty as there is a great deal of experience accumulated on the same subject. What differentiates this work is that we use a broad notion of the term heterogeneity, in association with different symptoms of stability in the elements of the equation. That is, we deal with problems (i) in the coefficients of regression, (ii) in the variance of the random term and (iii) in the mechanisms of spatial dependence. With this purpose, we develop several tests through which we tackle the problem of heterogeneity from various perspectives. We assess their performance through a Monte Carlo experiment. Resumen El objetivo de este artículo es avanzar en la discusión sobre el tema de la heterogeneidad existente en un modelo econométrico espacial. La propuesta no es novedosa por cuanto ya existe mucha experiencia acumulada sobre el mismo tema. Lo que distingue a este trabajo es que utilizamos una lectura amplia del término heterogeneidad, asociado a diversos síntomas de estabilidad en los elementos de la ecuación. Esto es, tratamos con problemas (i) en los coeficientes de regresión, (ii) en la varianza del término aleatorio y (iii) en los mecanismos de dependencia espacial. Con este propósito, desarrollamos varias pruebas mediante las cuales abordamos el problema de la heterogeneidad desde perspectivas diferentes. Evaluamos su rendimiento mediante un experimento de Monte Carlo.

Suggested Citation

  • Jesús Mur & Fernando López & Ana Angulo, 2009. "Testing the hypothesis of stability in spatial econometric models," Papers in Regional Science, Wiley Blackwell, vol. 88(2), pages 409-444, June.
  • Handle: RePEc:bla:presci:v:88:y:2009:i:2:p:409-444
    DOI: 10.1111/j.1435-5957.2009.00224.x
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    References listed on IDEAS

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    1. Daniel P. McMillen, 2004. "Employment Densities, Spatial Autocorrelation, and Subcenters in Large Metropolitan Areas," Journal of Regional Science, Wiley Blackwell, vol. 44(2), pages 225-244, May.
    2. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.
    3. C Brunsdon & A S Fotheringham & M Charlton, 1998. "Spatial Nonstationarity and Autoregressive Models," Environment and Planning A, , vol. 30(6), pages 957-973, June.
    4. A S Fotheringham & M E Charlton & C Brunsdon, 1998. "Geographically Weighted Regression: A Natural Evolution of the Expansion Method for Spatial Data Analysis," Environment and Planning A, , vol. 30(11), pages 1905-1927, November.
    5. Gary Koop & Simon M. Potter, 2007. "Estimation and Forecasting in Models with Multiple Breaks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 763-789.
    6. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.
    7. Bao, Yong & Ullah, Aman, 2007. "Finite sample properties of maximum likelihood estimator in spatial models," Journal of Econometrics, Elsevier, vol. 137(2), pages 396-413, April.
    8. McMillen, Daniel P., 1996. "One Hundred Fifty Years of Land Values in Chicago: A Nonparametric Approach," Journal of Urban Economics, Elsevier, vol. 40(1), pages 100-124, July.
    9. Olivier Parent & Stéphane Riou, 2005. "Bayesian Analysis of Knowledge Spillovers in European Regions," Journal of Regional Science, Wiley Blackwell, vol. 45(4), pages 747-775, November.
    10. Lee, Lung-Fei, 2002. "Consistency And Efficiency Of Least Squares Estimation For Mixed Regressive, Spatial Autoregressive Models," Econometric Theory, Cambridge University Press, vol. 18(2), pages 252-277, April.
    11. Koenker, Roger & Bassett, Gilbert, Jr, 1982. "Robust Tests for Heteroscedasticity Based on Regression Quantiles," Econometrica, Econometric Society, vol. 50(1), pages 43-61, January.
    12. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-1294, September.
    13. Lung-Fei Lee, 2004. "Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models," Econometrica, Econometric Society, vol. 72(6), pages 1899-1925, November.
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    Cited by:

    1. Suárez Cano, Patricia & Mayor Fernández, Matías & Cueto Iglesias, Begoña, 2011. "How important is access to employment offices in Spain? An urban and non-urban perspective," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 21, pages 119-140.
    2. Jesús Mur & Fernando López & Ana Angulo, 2010. "Instability in spatial error models: an application to the hypothesis of convergence in the European case," Journal of Geographical Systems, Springer, vol. 12(3), pages 259-280, September.
    3. Ribeiro, Anabela & Silva, Jorge, 2011. "A Spatial analysis on the relation between accessibility and spatial development for Cross-border regions," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 21, pages 141-156.
    4. Anabela Ribeiro & Jorge Silva, 2011. "A spatial econometric analysis of cross-border accessibility and development in Portugal and Spain," ERSA conference papers ersa10p456, European Regional Science Association.
    5. Brady, Ryan R., 2014. "The spatial diffusion of regional housing prices across U.S. states," Regional Science and Urban Economics, Elsevier, vol. 46(C), pages 150-166.
    6. Giuseppe Arbia, 2011. "A Lustrum of SEA: Recent Research Trends Following the Creation of the Spatial Econometrics Association (2007--2011)," Spatial Economic Analysis, Taylor & Francis Journals, vol. 6(4), pages 377-395, July.

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