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The NCSTAR model as an alternative to the GWR model

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  • Lebreton, Marie

Abstract

This paper compares the GWR model, usually used to integrate and examine the spatial heterogeneity of a relationship, and the NCSTAR model. The former will give a vector of local parameter estimates for each observation of the data set, according to its nearest neighbors in space. However, it supposes that all variables enter linearly the model. To correct this failure, a NCSTAR model is proposed. It can be seen as a linear model which coefficients are given by the outputs of an ANN model. These outputs can be related not only to geographical variables but also to social, financial or economic variables (according the nature of the relationship under study) via a nonlinear function which functional form has not to be specified. Moreover, the confidence intervals for the NCSTAR estimates can be computed.

Suggested Citation

  • Lebreton, Marie, 2005. "The NCSTAR model as an alternative to the GWR model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 77-84.
    • Handle: RePEc:eee:phsmap:v:355:y:2005:i:1:p:77-84
    DOI: 10.1016/j.physa.2005.02.069
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    1. Marcelo C. Medeiros & Alvaro Veiga, 2003. "Diagnostic Checking in a Flexible Nonlinear Time Series Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(4), pages 461-482, July.
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    Cited by:

    1. Benoît A. Delbecq & Todd H. Kuethe & Allison M. Borchers, 2014. "Identifying the Extent of the Urban Fringe and Its Impact on Agricultural Land Values," Land Economics, University of Wisconsin Press, vol. 90(4), pages 587-600.
    2. Pede, Valerien O. & Florax, Raymond J.G.M. & Lambert, Dayton M., 2014. "Spatial econometric STAR models: Lagrange multiplier tests, Monte Carlo simulations and an empirical application," Regional Science and Urban Economics, Elsevier, vol. 49(C), pages 118-128.
    3. Cem Ertur & Julie Le Gallo, 2008. "Regional Growth and Convergence: Heterogenous reaction versus interaction in spatial econometric approaches," Working Papers hal-00463274, HAL.
    4. Anna Gloria Billé & Roberto Benedetti & Paolo Postiglione, 2017. "A two-step approach to account for unobserved spatial heterogeneity," Spatial Economic Analysis, Taylor & Francis Journals, vol. 12(4), pages 452-471, October.

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