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A General Misspecification Test for Spatial Regression Models: Dependence, Heterogeneity, and Nonlinearity

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  • Thomas De Graaff
  • Raymond J.C.M. Florax
  • Peter Nijkamp
  • Aura Reggiani

Abstract

There is an increasing awareness of the potentials of nonlinear modeling in regional science. This can be explained partly by the recognition of the limitations of conventional equilibrium models in complex situations, and also by the easy availability and accessibility of sophisticated computational techniques. Among the class of nonlinear models, dynamic variants based on, for example, chaos theory stand out as an interesting approach. However, the operational significance of such approaches is still rather limited and a rigorous statistical‐econometric treatment of nonlinear dynamic modeling experiments is lacking. Against this background this paper is concerned with a methodological and empirical analysis of a general misspecification test for spatial regression models that is expected to have power against nonlinearity, spatial dependence, and heteroskedasticity. The paper seeks to break new research ground by linking the classical diagnostic tools developed in spatial econometrics to a misspecification test derived directly from chaos theory—the BDS test, developed by Brock, Dechert, and Scheinkman (1987). A spatial variant of the BDS test is introduced and applied in the context of two examples of spatial process models, one of which is concerned with the spatial distribution of regional investments in The Netherlands, the other with spatial crime patterns in Columbus, Ohio.

Suggested Citation

  • Thomas De Graaff & Raymond J.C.M. Florax & Peter Nijkamp & Aura Reggiani, 2001. "A General Misspecification Test for Spatial Regression Models: Dependence, Heterogeneity, and Nonlinearity," Journal of Regional Science, Wiley Blackwell, vol. 41(2), pages 255-276, May.
    • Handle: RePEc:bla:jregsc:v:41:y:2001:i:2:p:255-276
    DOI: 10.1111/0022-4146.00216
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    Cited by:

    1. Johan Lundberg, 2006. "Spatial interaction model of spillovers from locally provided public services," Regional Studies, Taylor & Francis Journals, vol. 40(6), pages 631-644.
    2. Andrea Furková & Michaela Chocholatá, 2021. "Spatial econometric approach to the EU regional employment process," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 1037-1056, September.
    3. Florax, Raymond J. G. M. & Folmer, Hendrik & Rey, Sergio J., 2003. "Specification searches in spatial econometrics: the relevance of Hendry's methodology," Regional Science and Urban Economics, Elsevier, vol. 33(5), pages 557-579, September.
    4. Mustafa Kiziltan & Ahmet Burcin Yereli, 2023. "Evaluating local fiscal capacity and fiscal effort of Turkish local governments: Evidence from spatial panel data analysis," Economic Change and Restructuring, Springer, vol. 56(1), pages 441-472, February.
    5. Papa Ousmane Cissé & Abdou Kâ Diongue & Dominique Guegan, 2016. "Note on a new Seasonal Fractionally Integrated Separable Spatial Autoregressive Model," Documents de travail du Centre d'Economie de la Sorbonne 16013, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    6. Florax, Raymond J. G. M. & Voortman, Roelf L. & Brouwer, Joost, 2002. "Spatial dimensions of precision agriculture: a spatial econometric analysis of millet yield on Sahelian coversands," Agricultural Economics, Blackwell, vol. 27(3), pages 425-443, November.
    7. Onyumbe E. Lukongo & Thomas Miller, 2018. "Evaluating the Spatial Consequence of Interest Rate Ceiling Using a Spatial Regime Change Approach," The American Economist, Sage Publications, vol. 63(2), pages 166-186, October.
    8. Maria Francesca Cracolici & Miranda Cuffaro & Peter Nijkamp, 2007. "Geographical Distribution of Unemployment: An Analysis of Provincial Differences in Italy," Growth and Change, Wiley Blackwell, vol. 38(4), pages 649-670, December.
    9. 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.
    10. Porter, Jeremy R. & Purser, Christopher W., 2010. "Social disorganization, marriage, and reported crime: A spatial econometrics examination of family formation and criminal offending," Journal of Criminal Justice, Elsevier, vol. 38(5), pages 942-950, September.
    11. Daniel P. McMillen, 2003. "Spatial Autocorrelation Or Model Misspecification?," International Regional Science Review, , vol. 26(2), pages 208-217, April.
    12. López, Fernando & Matilla-García, Mariano & Mur, Jesús & Marín, Manuel Ruiz, 2010. "A non-parametric spatial independence test using symbolic entropy," Regional Science and Urban Economics, Elsevier, vol. 40(2-3), pages 106-115, May.
    13. Guangqing Chi & Jun Zhu, 2008. "Spatial Regression Models for Demographic Analysis," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 27(1), pages 17-42, February.
    14. Morzaria-Luna, Hem Nalini & Ainsworth, Cameron H. & Tarnecki, Joseph H. & Grüss, Arnaud, 2018. "Diet composition uncertainty determines impacts on fisheries following an oil spill," Ecosystem Services, Elsevier, vol. 33(PB), pages 187-198.
    15. Brown, Jason P. & Lambert, Dayton M. & Florax, Raymond J.G.M., 2010. "Manufacturing Transition in Local Economies: A Regional Adjustment Model," 2010 Annual Meeting, July 25-27, 2010, Denver, Colorado 61130, Agricultural and Applied Economics Association.
    16. Brown, Jason P. & Lambert, Dayton M., 2009. "Short-run Birth and Death of U.S. Manufacturing Firms: 2000 - 2005," 2009 Annual Meeting, January 31-February 3, 2009, Atlanta, Georgia 46739, Southern Agricultural Economics Association.
    17. Marko Kryvobokov, 2010. "Is it worth identifying service employment (sub)centres when modelling apartment prices?," Post-Print halshs-00577899, HAL.
    18. Jeremy Porter, 2012. "A Simplified Indicator of Social Well-Being in the United States: Examining the Ecological Impact of Family Formation within a County Level Framework," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 108(3), pages 421-440, September.

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