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One-directional adjacency matrices in spatial autoregressive model: A land price example and Monte Carlo results


  • Yokoi, Takahisa
  • Ando, Asao


In the context of spatial econometrics, we discuss the specification of one-directional effects, not mutual dependencies. Using an empirical study (a spatial autoregressive model of land price data in Fukui Prefecture, Japan) and Monte Carlo simulation results (contiguity matrices built based on regular lattices using the rook criteria), we show that spatial dependencies might not be recognized if such dependencies are assumed to be reciprocal.

Suggested Citation

  • Yokoi, Takahisa & Ando, Asao, 2012. "One-directional adjacency matrices in spatial autoregressive model: A land price example and Monte Carlo results," Economic Modelling, Elsevier, vol. 29(1), pages 79-85.
  • Handle: RePEc:eee:ecmode:v:29:y:2012:i:1:p:79-85 DOI: 10.1016/j.econmod.2011.08.011

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    References listed on IDEAS

    1. Rincke, Johannes, 2006. "Competition in the public school sector: Evidence on strategic interaction among US school districts," Journal of Urban Economics, Elsevier, vol. 59(3), pages 352-369, May.
    2. James P. LeSage & R. Kelley Pace, 2008. "Spatial Econometric Modeling Of Origin-Destination Flows," Journal of Regional Science, Wiley Blackwell, vol. 48(5), pages 941-967.
    3. Asao Ando & Ryuichi Uchida, 2004. "The space-time structure of land prices in Japanese metropolitan areas," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 38(4), pages 655-674, December.
    4. 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.
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    More about this item


    Land price; Spatial autocorrelation; Spatial adjacency matrix; One-directional relationship;

    JEL classification:

    • R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models


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