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Estimation of the Spatial Weights Matrix under Structural Constraints

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  • Arnab Bhattacharjee
  • Chris Jensen-Butler

Abstract

While estimates of models with spatial interaction are very sensitive to the choice of spatial weights, considerable uncertainty surrounds definition of spatial weights in most studies with cross-section dependence. We show that, in the spatial error model the spatial weights matrix is only partially identified, and is fully identified under the structural constraint of symmetry. For the spatial error model, we propose a new methodology for estimation of spatial weights under the assumption of symmetric spatial weights, with extensions to other important spatial models. The methodology is applied to regional housing markets in the UK, providing an estimated spatial weights matrix that generates several new hypotheses about the economic and socio-cultural drivers of spatial diffusion in housing demand.

Suggested Citation

  • Arnab Bhattacharjee & Chris Jensen-Butler, 2011. "Estimation of the Spatial Weights Matrix under Structural Constraints," Dundee Discussion Papers in Economics 254, Economic Studies, University of Dundee.
  • Handle: RePEc:dun:dpaper:254
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    More about this item

    Keywords

    Spatial econometrics; Spatial autocorrelation; Spatial weights matrix; Spatial error model; Housing demand; Gradient projection;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • R21 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Housing Demand
    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets

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