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Estimation of the Spatial Weights Matrix under Structural Constraints

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  • Bhattacharjee, Arnab
  • Jensen-Butler, Chris

Abstract

While estimates of models with spatial interaction are very sensitive to the choice of spatial weights, considerable uncertainty surrounds de nition 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 identi ed, and is fully identifi ed 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 di¤usion in housing demand.

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Bibliographic Info

Paper provided by Scottish Institute for Research in Economics (SIRE) in its series SIRE Discussion Papers with number 2011-48.

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Date of creation: 2011
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Handle: RePEc:edn:sirdps:293

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Keywords: Spatial econometrics; Spatial autocorrelation; Spatial weights matrix; Spatial error model; Housing demand; Gradient projection;

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References

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  1. Bhattacharjee, Arnab & Holly, Sean, 2009. "Understanding Interactions in Social Networks and Committees," SIRE Discussion Papers 2009-53, Scottish Institute for Research in Economics (SIRE).
  2. Pesaran, M.H. & Tosetti, E., 2007. "Large Panels with Common Factors and Spatial Correlations," Cambridge Working Papers in Economics 0743, Faculty of Economics, University of Cambridge.
  3. Robert Jennrich, 2001. "A simple general procedure for orthogonal rotation," Psychometrika, Springer, vol. 66(2), pages 289-306, June.
  4. Benjamin Born & Jörg Breitung, 2011. "Simple regression‐based tests for spatial dependence," Econometrics Journal, Royal Economic Society, vol. 14(2), pages 330-342, 07.
  5. Baltagi, Badi H. & Song, Seuck Heun & Koh, Won, 2003. "Testing panel data regression models with spatial error correlation," Journal of Econometrics, Elsevier, vol. 117(1), pages 123-150, November.
  6. Giacomini, Raffaella & Granger, Clive W.J., 2001. "Aggregationn of Space-Time Processes," University of California at San Diego, Economics Working Paper Series qt77f76455, Department of Economics, UC San Diego.
  7. Anglin, Paul M & Rutherford, Ronald & Springer, Thomas M, 2003. "The Trade-Off Between the Selling Price of Residential Properties and Time-on-the-Market: The Impact of Price Setting," The Journal of Real Estate Finance and Economics, Springer, vol. 26(1), pages 95-111, January.
  8. Sergio Rey & Brett Montouri, 1999. "US Regional Income Convergence: A Spatial Econometric Perspective," Regional Studies, Taylor & Francis Journals, vol. 33(2), pages 143-156.
  9. Haurin, Donald R. & Brasington, David, 1996. "School Quality and Real House Prices: Inter- and Intrametropolitan Effects," Journal of Housing Economics, Elsevier, vol. 5(4), pages 351-368, December.
  10. Corrado, L. & Fingleton, B., 2011. "Where is the economics in spatial econometrics?," SIRE Discussion Papers 2011-02, Scottish Institute for Research in Economics (SIRE).
  11. Henk Folmer & Johan Oud, 2008. "How to get rid of W: a latent variables approach to modelling spatially lagged variables," Environment and Planning A, Pion Ltd, London, vol. 40(10), pages 2526-2538, October.
  12. Timothy J. Fik & David C. Ling & Gordon F. Mulligan, 2003. "Modeling Spatial Variation in Housing Prices: A Variable Interaction Approach," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 31(4), pages 623-646, December.
  13. Arnab Bhattacharjee & Sean Holly, 2006. "Taking Personalities out of Monetary Policy Decision Making? Interactions, Heterogeneity and Committee Decisions in the Bank of England’s MPC," CDMA Working Paper Series 200612, Centre for Dynamic Macroeconomic Analysis.
  14. Arnab Bhattacharjee & Sean Holly, 2011. "Structural interactions in spatial panels," Empirical Economics, Springer, vol. 40(1), pages 69-94, February.
  15. Paul Cheshire & Stephen Sheppard, 2003. "Capitalising the Value of Free Schools: The Impact of Supply Constraints and Uncertainty," ERSA conference papers ersa03p8, European Regional Science Association.
  16. Joris Pinkse & Margaret E. Slade & Craig Brett, 2002. "Spatial Price Competition: A Semiparametric Approach," Econometrica, Econometric Society, vol. 70(3), pages 1111-1153, May.
  17. Kelejian, Harry H. & Prucha, Ingmar R., 2004. "Estimation of simultaneous systems of spatially interrelated cross sectional equations," Journal of Econometrics, Elsevier, vol. 118(1-2), pages 27-50.
  18. Hendershott, Patric H., 1996. "Rental Adjustment and Valuation in Overbuilt Markets: Evidence from the Sydney Office Market," Journal of Urban Economics, Elsevier, vol. 39(1), pages 51-67, January.
  19. Arnab Bhattacharjee & Chris Jensen-Butler, 2005. "A Model of Regional Housing Markets in England and Wales," CRIEFF Discussion Papers 0508, Centre for Research into Industry, Enterprise, Finance and the Firm.
  20. Holly, Sean & Pesaran, M. Hashem & Yamagata, Takashi, 2010. "Spatial and Temporal Diffusion of House Prices in the UK," IZA Discussion Papers 4694, Institute for the Study of Labor (IZA).
  21. Steve Gibbons & Stephen Machin, 2004. "Valuing Rail Access Using Transport Innovations," CEP Discussion Papers dp0611, Centre for Economic Performance, LSE.
  22. Steve Gibbons, 2003. "The Costs of Urban Property Crime," CEP Discussion Papers dp0574, Centre for Economic Performance, LSE.
  23. 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 509-33, May.
  24. Rilstone, Paul & Veall, Michael, 1996. "Using Bootstrapped Confidence Intervals for Improved Inferences with Seemingly Unrelated Regression Equations," Econometric Theory, Cambridge University Press, vol. 12(03), pages 569-580, August.
  25. Roderick McDonald, 1978. "A note on the factor analysis of partial covariance matrices," Psychometrika, Springer, vol. 43(1), pages 121-121, March.
  26. 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.
  27. Conley, T. G., 1999. "GMM estimation with cross sectional dependence," Journal of Econometrics, Elsevier, vol. 92(1), pages 1-45, September.
  28. Robert Jennrich, 2004. "Derivative free gradient projection algorithms for rotation," Psychometrika, Springer, vol. 69(3), pages 475-480, September.
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Citations

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Cited by:
  1. Abhimanyu Gupta & M. Robinson, 2013. "Inference on Higher-Order Spatial Autoregressive Models with Increasingly Many Parameters," Economics Discussion Papers 735, University of Essex, Department of Economics.
  2. Arnab Bhattacharjee & Taps Maiti & Dennis Petrie, 2014. "Spatial structures of health outcomes and health behaviours in Scotland: Evidence from the Scottish Health Survey," SEEC Discussion Papers 1401, Spatial Economics and Econometrics Centre, Heriot Watt University.
  3. Arnab Bhattacharjee & Eduardo Castro & Taps Maiti & João Marques, 2014. "Endogenous spatial structure and delineation of submarkets: A new framework with application to housing markets," SEEC Discussion Papers 1403, Spatial Economics and Econometrics Centre, Heriot Watt University.

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