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A regression tree algorithm for the identification of convergence clubs

Author

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  • Postiglione, Paolo
  • Benedetti, Roberto
  • Lafratta, Giovanni

Abstract

The concept of convergence clubs is analyzed and compared with classical methods for the study of economic [beta]-convergence, which often consider the entire data set as one sample. A technique for the identification of convergence clubs is proposed. The algorithm is based on a modified version of the usual regression trees procedure. The objective function of the method is represented by the difference among the parameters of the model under investigation. Different strategies are adopted in the definition of the model used in the objective function of the algorithm. The first is the classical non-spatial [beta]-convergence model. The others are modified [beta]-convergence models which take into account the dependence showed by spatially distributed data. The proposed procedure identifies situation of local stationarity in the economic growth of the different regions: a group of regions is divided into two sub-groups if the parameter estimates are significantly different among them. The algorithm is applied to 191 European regions for the period 1980-2002. Given the adaptability of the algorithm, its implementation provides a flexible tool for the use of any regression model in the analysis of non-stationary spatial data.

Suggested Citation

  • Postiglione, Paolo & Benedetti, Roberto & Lafratta, Giovanni, 2010. "A regression tree algorithm for the identification of convergence clubs," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2776-2785, November.
  • Handle: RePEc:eee:csdana:v:54:y:2010:i:11:p:2776-2785
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    1. Oded Galor & Omer Moav, 2002. "Natural Selection and the Origin of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 117(4), pages 1133-1191.
    2. Galor, Oded, 2005. "From Stagnation to Growth: Unified Growth Theory," Handbook of Economic Growth,in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 4, pages 171-293 Elsevier.
    3. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
    4. Shih, Yu-Shan & Tsai, Hsin-Wen, 2004. "Variable selection bias in regression trees with constant fits," Computational Statistics & Data Analysis, Elsevier, vol. 45(3), pages 595-607, April.
    5. Robert J. Barro & Xavier Sala-i-Martin, 1991. "Convergence across States and Regions," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(1), pages 107-182.
    6. Sala-i-Martin, Xavier X., 1996. "Regional cohesion: Evidence and theories of regional growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1325-1352, June.
    7. Quah, Danny, 1996. "Regional Convergence Clusters Across Europe," CEPR Discussion Papers 1286, C.E.P.R. Discussion Papers.
    8. Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
    9. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.
    10. Luisa Corrado & Ron Martin & Melvyn Weeks, 2005. "Identifying and Interpreting Regional Convergence Clusters across Europe," Economic Journal, Royal Economic Society, vol. 115(502), pages 133-160, March.
    11. Desdoigts, Alain, 1999. "Patterns of Economic Development and the Formation of Clubs," Journal of Economic Growth, Springer, vol. 4(3), pages 305-330, September.
    12. Fabio Canova, 2004. "Testing for Convergence Clubs in Income Per Capita: A Predictive Density Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 49-77, February.
    13. Durlauf, Steven N & Johnson, Paul A, 1995. "Multiple Regimes and Cross-Country Growth Behaviour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 365-384, Oct.-Dec..
    14. P. Feve & Y. Le Pen, 2000. "On modelling convergence clubs," Applied Economics Letters, Taylor & Francis Journals, vol. 7(5), pages 311-314.
    15. Robert J. Barro, 1991. "Economic Growth in a Cross Section of Countries," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 407-443.
    16. Quah, Danny T., 1996. "Regional convergence clusters across Europe," European Economic Review, Elsevier, vol. 40(3-5), pages 951-958, April.
    17. David N. Weil & Oded Galor, 1999. "From Malthusian Stagnation to Modern Growth," American Economic Review, American Economic Association, vol. 89(2), pages 150-154, May.
    18. Hofmann, Marc & Gatu, Cristian & Kontoghiorghes, Erricos John, 2007. "Efficient algorithms for computing the best subset regression models for large-scale problems," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 16-29, September.
    19. Baumol, William J, 1986. "Productivity Growth, Convergence, and Welfare: What the Long-run Data Show," American Economic Review, American Economic Association, vol. 76(5), pages 1072-1085, December.
    20. Galor, Oded, 2007. "Multiple growth regimes - Insights from unified growth theory," Journal of Macroeconomics, Elsevier, vol. 29(3), pages 470-475, September.
    21. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 407-437.
    22. repec:dau:papers:123456789/6861 is not listed on IDEAS
    23. Costas Megir & Danny Quah, 1996. "Regional Convergence Clusters Across Europe," CEP Discussion Papers dp0274, Centre for Economic Performance, LSE.
    24. Castellacci, Fulvio & Archibugi, Daniele, 2008. "The technology clubs: The distribution of knowledge across nations," Research Policy, Elsevier, vol. 37(10), pages 1659-1673, December.
    25. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
    26. Gatu, Cristian & Yanev, Petko I. & Kontoghiorghes, Erricos J., 2007. "A graph approach to generate all possible regression submodels," Computational Statistics & Data Analysis, Elsevier, vol. 52(2), pages 799-815, October.
    27. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-251, April.
    28. Sergio Rey & Brett Montouri, 1999. "US Regional Income Convergence: A Spatial Econometric Perspective," Regional Studies, Taylor & Francis Journals, vol. 33(2), pages 143-156.
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    Citations

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    Cited by:

    1. Gianfranco Piras & Paolo Postiglione & Patricio Aroca, 2012. "Specialization, R&D and productivity growth: evidence from EU regions," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 49(1), pages 35-51, August.
    2. Giovanni Perucca, 2013. "Aredefinition of italian macro-areas: the role of territorial capital," RIVISTA DI ECONOMIA E STATISTICA DEL TERRITORIO, FrancoAngeli Editore, vol. 2013(2), pages 37-65.
    3. Andreano, M. Simona & Laureti, Lucio & Postiglione, Paolo, 2013. "Economic growth in MENA countries: Is there convergence of per-capita GDPs?," Journal of Policy Modeling, Elsevier, vol. 35(4), pages 669-683.
    4. Domenica Panzera & Paolo Postiglione, 2014. "Economic growth in Italian NUTS 3 provinces," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(1), pages 273-293, August.
    5. Philipp Piribauer, 2016. "Heterogeneity in spatial growth clusters," Empirical Economics, Springer, vol. 51(2), pages 659-680, September.
    6. repec:bla:growch:v:48:y:2017:i:1:p:40-60 is not listed on IDEAS
    7. Konrad Lyncker & Rasmus Thoennessen, 2017. "Regional club convergence in the EU: evidence from a panel data analysis," Empirical Economics, Springer, vol. 52(2), pages 525-553, March.
    8. Paolo Postiglione & M. Andreano & Roberto Benedetti, 2013. "Using Constrained Optimization for the Identification of Convergence Clubs," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 151-174, August.
    9. repec:spr:qualqt:v:51:y:2017:i:6:d:10.1007_s11135-016-0415-1 is not listed on IDEAS

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