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Spatial econometrics (1, Spatial autocorrelation)
[Econométrie spatiale (1, Autocorrélation spatiale)]

Author

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  • Julie Le Gallo

    (LATEC - Laboratoire d'Analyse et de Techniques Economiques [UMR 5118] - UB - Université de Bourgogne - CNRS - Centre National de la Recherche Scientifique)

Abstract

Spatial econometric methods aim at taking into account the two special characteristics of spatial data: spatial autocorrelation, which is the lack of independence between geographical observations, and spatial heterogeneity, which is related to the differentiation of variables and behaviors in space. These techniques have been mostly developed the last ten years and are more often applied in empirical studies with geographical data. The aim of this article is to present the way spatial autocorrelation and spatial heterogeneity can be incorporated in regression relationships and to present the estimation and inference procedures adapted to the models incorporating these two effects. This article is divided in two parts. This first part deals with spatial autocorrelation (working paper N° 2000-05) and the second part will deal with spatial heterogeneity.

Suggested Citation

  • Julie Le Gallo, 2000. "Spatial econometrics (1, Spatial autocorrelation) [Econométrie spatiale (1, Autocorrélation spatiale)]," Working Papers hal-01527290, HAL.
  • Handle: RePEc:hal:wpaper:hal-01527290
    Note: View the original document on HAL open archive server: https://hal.science/hal-01527290
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    References listed on IDEAS

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    1. Avery, Robert B & Hansen, Lars Peter & Hotz, V Joseph, 1983. "Multiperiod Probit Models and Orthogonality Condition Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 21-35, February.
    2. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-793, May.
    3. Florax, Raymond & Folmer, Henk, 1992. "Specification and estimation of spatial linear regression models : Monte Carlo evaluation of pre-test estimators," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 405-432, September.
    4. Griffith, Daniel A., 1981. "Modelling urban population density in a multi-centered city," Journal of Urban Economics, Elsevier, vol. 9(3), pages 298-310, May.
    5. Dale J. Poirier & Paul A. Ruud, 1988. "Probit with Dependent Observations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 593-614.
    6. Heijmans, Risto D. H. & Magnus, Jan R., 1986. "Asymptotic Normmality of Maximum Likelihood Estimators Obtained from Normally Distributed but Dependent Observations," Econometric Theory, Cambridge University Press, vol. 2(3), pages 374-412, December.
    7. Magnus, Jan R., 1978. "Maximum likelihood estimation of the GLS model with unknown parameters in the disturbance covariance matrix," Journal of Econometrics, Elsevier, vol. 7(3), pages 281-312, April.
    8. Heijmans, Risto D. H. & Magnus, Jan R., 1986. "Consistent maximum-likelihood estimation with dependent observations : The general (non-normal) case and the normal case," Journal of Econometrics, Elsevier, vol. 32(2), pages 253-285, July.
    9. Harry H. Kelejian & Dennis P. Robinson, 1993. "A Suggested Method Of Estimation For Spatial Interdependent Models With Autocorrelated Errors, And An Application To A County Expenditure Model," Papers in Regional Science, Wiley Blackwell, vol. 72(3), pages 297-312, July.
    10. Anselin, Luc & Bera, Anil K. & Florax, Raymond & Yoon, Mann J., 1996. "Simple diagnostic tests for spatial dependence," Regional Science and Urban Economics, Elsevier, vol. 26(1), pages 77-104, February.
    11. Luc Anselin & Attila Varga & Zoltan Acs, 2008. "Local Geographic Spillovers Between University Research and High Technology Innovations," Chapters, in: Entrepreneurship, Growth and Public Policy, chapter 9, pages 95-121, Edward Elgar Publishing.
    12. L W Hepple, 1995. "Bayesian Techniques in Spatial and Network Econometrics: 1. Model Comparison and Posterior Odds," Environment and Planning A, , vol. 27(3), pages 447-469, March.
    13. H. Kelejian, Harry & Prucha, Ingmar R., 2001. "On the asymptotic distribution of the Moran I test statistic with applications," Journal of Econometrics, Elsevier, vol. 104(2), pages 219-257, September.
    14. Luc Anselin, 1984. "Specification Tests On The Structure Of Interaction In Spatial Econometric Models," Papers in Regional Science, Wiley Blackwell, vol. 54(1), pages 165-182, January.
    15. Harry H. Kelejian & Ingmar R. Prucha, 1997. "Estimation of Spatial Regression Models with Autoregressive Errors by Two-Stage Least Squares Procedures: A Serious Problem," International Regional Science Review, , vol. 20(1-2), pages 103-111, April.
    16. Kelley Pace, R., 1997. "Performing large spatial regressions and autoregressions," Economics Letters, Elsevier, vol. 54(3), pages 283-291, July.
    17. Pace, R Kelley & Gilley, Otis W, 1997. "Using the Spatial Configuration of the Data to Improve Estimation," The Journal of Real Estate Finance and Economics, Springer, vol. 14(3), pages 333-340, May.
    18. James P. Lesage, 1997. "Bayesian Estimation of Spatial Autoregressive Models," International Regional Science Review, , vol. 20(1-2), pages 113-129, April.
    19. Robin Dubin, 1995. "Estimating Logit Models with Spatial Dependence," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 10, pages 229-242, Springer.
    20. Sergio Rey & Brett Montouri, 1999. "US Regional Income Convergence: A Spatial Econometric Perspective," Regional Studies, Taylor & Francis Journals, vol. 33(2), pages 143-156.
    21. Bera, Anil K. & Yoon, Mann J., 1993. "Specification Testing with Locally Misspecified Alternatives," Econometric Theory, Cambridge University Press, vol. 9(4), pages 649-658, August.
    22. Case, Anne C, 1991. "Spatial Patterns in Household Demand," Econometrica, Econometric Society, vol. 59(4), pages 953-965, July.
    23. Pinkse, Joris & Slade, Margaret E., 1998. "Contracting in space: An application of spatial statistics to discrete-choice models," Journal of Econometrics, Elsevier, vol. 85(1), pages 125-154, July.
    24. Breusch, Trevor S., 1980. "Useful invariance results for generalized regression models," Journal of Econometrics, Elsevier, vol. 13(3), pages 327-340, August.
    25. Brueckner, Jan K., 1998. "Testing for Strategic Interaction Among Local Governments: The Case of Growth Controls," Journal of Urban Economics, Elsevier, vol. 44(3), pages 438-467, November.
    26. Catherine Baumont & Cem Ertur & Julie Le Gallo, 2000. "Geographic spillover and growth (a spatial econometric analysis for european regions)," Working Papers hal-01526987, HAL.
    27. Aten, Bettina, 1996. "Evidence of Spatial Autocorrelation in International Prices," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 42(2), pages 149-163, June.
    28. M Tiefelsdorf & B Boots, 1995. "The Exact Distribution of Moran's I," Environment and Planning A, , vol. 27(6), pages 985-999, June.
    29. Case, Anne C. & Rosen, Harvey S. & Hines, James Jr., 1993. "Budget spillovers and fiscal policy interdependence : Evidence from the states," Journal of Public Economics, Elsevier, vol. 52(3), pages 285-307, October.
    30. L Anselin, 1982. "A Note on Small Sample Properties of Estimators in a First-Order Spatial Autoregressive Model," Environment and Planning A, , vol. 14(8), pages 1023-1030, August.
    31. Kelejian, Harry H & Prucha, Ingmar R, 1998. "A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 99-121, July.
    32. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-533, May.
    33. Leen Hordijk, 1979. "Problems In Estimating Econometric Relations In Space," Papers in Regional Science, Wiley Blackwell, vol. 42(1), pages 99-115, January.
    34. Daniel A. Griffith, 1999. "Statistical and mathematical sources of regional science theory: Map pattern analysis as an example," Papers in Regional Science, Springer;Regional Science Association International, vol. 78(1), pages 21-45.
    35. Piet Rietveld & Patrick Wintershoven, 1998. "Border Effects And Spatial Autocorrelation In The Supply Of Network Infrastructure," Papers in Regional Science, Wiley Blackwell, vol. 77(3), pages 265-276, July.
    36. Can, Ayse, 1992. "Specification and estimation of hedonic housing price models," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 453-474, September.
    37. A S Brandsma & R H Ketellapper, 1979. "A Biparametric Approach to Spatial Autocorrelation," Environment and Planning A, , vol. 11(1), pages 51-58, January.
    38. Harry H. Kelejian & Dennis P. Robinson, 1997. "Infrastructure Productivity Estimation And Its Underlying Econometric Specifications: A Sensitivity Analysis," Papers in Regional Science, Wiley Blackwell, vol. 76(1), pages 115-131, January.
    39. Blommestein, H. J., 1985. "Elimination of circular routes in spatial dynamic regression equations," Regional Science and Urban Economics, Elsevier, vol. 15(1), pages 121-130, February.
    40. Raymond J. G. M. Florax & Serge Rey, 1995. "The Impacts of Misspecified Spatial Interaction in Linear Regression Models," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 5, pages 111-135, Springer.
    41. L W Hepple, 1998. "Exact Testing for Spatial Autocorrelation among Regression Residuals," Environment and Planning A, , vol. 30(1), pages 85-108, January.
    42. Case, Anne, 1992. "Neighborhood influence and technological change," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 491-508, September.
    43. Arthur Getis, 1995. "Spatial Filtering in a Regression Framework: Examples Using Data on Urban Crime, Regional Inequality, and Government Expenditures," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 8, pages 172-185, Springer.
    44. repec:umd:umdeco:kelepruc is not listed on IDEAS
    45. Anselin, Luc, 1988. "A test for spatial autocorrelation in seemingly unrelated regressions," Economics Letters, Elsevier, vol. 28(4), pages 335-341.
    46. repec:umd:umdeco:prucha2 is not listed on IDEAS
    47. Harry H. Kelejian & Dennis P. Robinson, 1995. "Spatial Correlation: A Suggested Alternative to the Autoregressive Model," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 3, pages 75-95, Springer.
    48. James C. Murdoch & Morteza Rahmatian & Mark A. Thayer, 1993. "A Spatially Autoregressive Median Voter Model of Recreation Expenditures," Public Finance Review, , vol. 21(3), pages 334-350, July.
    49. P Burridge, 1981. "Testing for a Common Factor in a Spatial Autoregression Model," Environment and Planning A, , vol. 13(7), pages 795-800, July.
    50. Anselin, Luc & Hudak, Sheri, 1992. "Spatial econometrics in practice : A review of software options," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 509-536, September.
    51. Swarnjit S. Arora & Murray Brown, 1977. "Alternative Approaches to Spatial Autocorrelation: An Improvement Over Current Practice," International Regional Science Review, , vol. 2(1), pages 67-78, October.
    52. Can, Ayse & Megbolugbe, Isaac, 1997. "Spatial Dependence and House Price Index Construction," The Journal of Real Estate Finance and Economics, Springer, vol. 14(1-2), pages 203-222, Jan.-Marc.
    53. Luc Anselin & Harry H. Kelejian, 1997. "Testing for Spatial Error Autocorrelation in the Presence of Endogenous Regressors," International Regional Science Review, , vol. 20(1-2), pages 153-182, April.
    54. Bernard Fingleton, 1999. "Estimates of Time to Economic Convergence: An Analysis of Regions of the European Union," International Regional Science Review, , vol. 22(1), pages 5-34, April.
    55. BAUMONT, Catherine & ERTUR, Cem & LE GALLO, Julie, 2000. "Convergence des régions européennes. Une approche par l'économétrie spatiale," LATEC - Document de travail - Economie (1991-2003) 2000-03, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    56. Arthur Getis, 1990. "Screening For Spatial Dependence In Regression Analysis," Papers in Regional Science, Wiley Blackwell, vol. 69(1), pages 69-81, January.
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