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A pair-wise approach to output convergence between European regions

  • Le Pen, Yannick
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    We apply the Pesaran (2007) pair-wise approach of convergence to the per capita outputs of 195 European regions for the period 1980-2006. Pesaran's approach is based on the computation of the percentage ratio of output gaps which fulfil a given convergence criterion. A high ratio will be interpreted in favour of convergence. In a first step, we define stochastic convergence between two regions as level stationarity of their output gap. Deviations from its equilibrium value will only have a temporary effect. Results from several usual unit root or stationarity tests show us that the percentage ratio of level stationary output gaps is low, which stands against this definition of convergence. However, this convergence criterion excludes the possibility of changes in output gap equilibrium value or catching up between regions. To fit these cases, we combine the pair-wise approach with unit root or stationarity tests with structural breaks. Structural breaks are modelled by dummies (Zivot and Andrews, 1992; Kurozumi,2002) or as smooth structural breaks (Christopoulos and León-Ledesma, 2009). Overall results are not changed as convergence is not accepted more often. Finally, we consider the autocorrelation function approach of Caggiano and Leonida (2009). Autocorrelations and their confidence intervals are estimated for each output gap. Convergence between two regions is accepted if their per capita output gap autocorrelations become nonsignificantly different from zero after some lag. Results show that a high percentage of regions satisfy this convergence criterion. Contrary to the conclusions which could be made from previous results, shocks to output gaps seem to disappear as time passes.

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    Article provided by Elsevier in its journal Economic Modelling.

    Volume (Year): 28 (2011)
    Issue (Month): 3 (May)
    Pages: 955-964

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    Handle: RePEc:eee:ecmode:v:28:y:2011:i:3:p:955-964
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    1. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    2. Damien NEVEN & Claudine GOUYETTE, 1993. "Regional Convergence in the European Comunity," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 9311, Université de Lausanne, Faculté des HEC, DEEP.
    3. David I. Harvey, & Stephen J. Leybourne, & A. M. Robert Taylor, 2006. "A simple, robust and powerful test of the trend hypothesis," Discussion Papers 06/01, University of Nottingham, Granger Centre for Time Series Econometrics.
    4. Magrini, Stefano, 1999. "The evolution of income disparities among the regions of the European Union," Regional Science and Urban Economics, Elsevier, vol. 29(2), pages 257-281, March.
    5. Giovanni Caggiano & Leone Leonida, 2009. "International output convergence: evidence from an autocorrelation function approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(1), pages 139-162.
    6. Hierro, Mara & Maza, Adolfo, 2009. "Structural shifts in the dynamics of the European income distribution," Economic Modelling, Elsevier, vol. 26(3), pages 733-739, May.
    7. M. Hashem Pesaran, 2004. "A Pair-Wise Approach to Testing for Output and Growth Convergence," CESifo Working Paper Series 1308, CESifo Group Munich.
    8. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    9. Danny Quah, 1992. "Empirical cross-section dynamics in economic growth," Discussion Paper / Institute for Empirical Macroeconomics 75, Federal Reserve Bank of Minneapolis.
    10. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    11. Quah, Danny, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," CEPR Discussion Papers 1586, C.E.P.R. Discussion Papers.
    12. Steven N. Durlauf & Danny T. Quah, 1998. "The New Empirics of Economic Growth," NBER Working Papers 6422, National Bureau of Economic Research, Inc.
    13. Barro, R.J. & Sala-I-Martin, X., 1991. "Convergence Across States and Regions," Papers 629, Yale - Economic Growth Center.
    14. Christopoulos Dimitris K & Leon-Ledesma Miguel A., 2011. "International Output Convergence, Breaks, and Asymmetric Adjustment," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 15(3), pages 1-33, May.
    15. Loewy, Michael B. & Papell, David H., 1996. "Are U.S. regional incomes converging? Some further evidence," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 587-598, December.
    16. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-99, June.
    17. Quah, Danny, 1993. " Galton's Fallacy and Tests of the Convergence Hypothesis," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(4), pages 427-43, December.
    18. Dimitris N. Politis & Joseph P. Romano & Michael Wolf, 2004. "Inference for Autocorrelations in the Possible Presence of a Unit Root," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(2), pages 251-263, 03.
    19. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-56, July.
    20. Evans, Paul & Karras, Georgios, 1996. "Convergence revisited," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 249-265, April.
    21. Carmela Martín & Ismael Sanz, 2003. "Real Convergence and European Integration: The Experience of the Less Developed EU Members," Empirica, Springer, vol. 30(3), pages 205-236, September.
    22. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
    23. Hall, S G & Robertson, D & Wickens, M R, 1992. "Measuring Convergence of the EC Economies," The Manchester School of Economic & Social Studies, University of Manchester, vol. 60(0), pages 99-111, Supplemen.
    24. Denis Kwiatkowski & Peter C.B. Phillips & Peter Schmidt, 1991. "Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure Are We That Economic Time Series Have a Unit Root?," Cowles Foundation Discussion Papers 979, Cowles Foundation for Research in Economics, Yale University.
    25. Costas Megir & Danny Quah, 1996. "Regional Convergence Clusters Across Europe," CEP Discussion Papers dp0274, Centre for Economic Performance, LSE.
    26. Joon Y. Park & Mototsugu Shintani, 2005. "Testing for a Unit Root against Transitional Autoregressive Models," Vanderbilt University Department of Economics Working Papers 05010, Vanderbilt University Department of Economics.
    27. Ludlow, Jorge & Enders, Walter, 2000. "Estimating non-linear ARMA models using Fourier coefficients," International Journal of Forecasting, Elsevier, vol. 16(3), pages 333-347.
    28. Quah, Danny T., 1996. "Regional convergence clusters across Europe," European Economic Review, Elsevier, vol. 40(3-5), pages 951-958, April.
    29. Enrique López-Bazo & Esther Vayá & Manuel Artís, 2004. "Regional Externalities And Growth: Evidence From European Regions," Journal of Regional Science, Wiley Blackwell, vol. 44(1), pages 43-73.
    30. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    31. Rita De Siano & Marcella D'Uva, 2006. "Club convergence in European regions," Applied Economics Letters, Taylor & Francis Journals, vol. 13(9), pages 569-574.
    32. Bernard, Andrew B & Durlauf, Steven N, 1995. "Convergence in International Output," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 97-108, April-Jun.
    33. Julie Le Gallo & Cem Ertur & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependance Matter?," Post-Print hal-00401127, HAL.
    34. Sephton, Peter S., 1995. "Response surface estimates of the KPSS stationarity test," Economics Letters, Elsevier, vol. 47(3-4), pages 255-261, March.
    35. 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.
    36. Michele Boldrin & Fabio Canova, 2001. "Inequality and convergence in Europe's regions: reconsidering European regional policies," Economic Policy, CEPR;CES;MSH, vol. 16(32), pages 205-253, 04.
    37. James G. MacKinnon, 1995. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Working Papers 918, Queen's University, Department of Economics.
    38. Chi-Young Choi & Young-Kyu Moh, 2007. "How useful are tests for unit-root in distinguishing unit-root processes from stationary but non-linear processes?," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 82-112, 03.
    39. Chi-Young Choi, 2004. "A Reexamination of Output Convergence in the U.S. States: Toward Which Level(s) are they Converging?," Journal of Regional Science, Wiley Blackwell, vol. 44(4), pages 713-741.
    40. Button, Kenneth J & Pentecost, Eric J, 1995. "Testing for Convergence of the EU Regional Economies," Economic Inquiry, Western Economic Association International, vol. 33(4), pages 664-71, October.
    41. Roberto Zelli & Maria Grazia Pittau, 2006. "Empirical evidence of income dynamics across EU regions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 605-628.
    42. Quah, Danny, 1996. "Regional Convergence Clusters Across Europe," CEPR Discussion Papers 1286, C.E.P.R. Discussion Papers.
    43. Antonio J. Mora & Esther Vayá & Jordi Suriñach & Enrique López-Bazo, 1999. "original: Regional economic dynamics and convergence in the European Union," The Annals of Regional Science, Springer, vol. 33(3), pages 343-370.
    44. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-37, October.
    45. Oxley, Les & Greasley, David, 1995. "A Time-Series Perspective on Convergence: Australia, UK and USA since 1870," The Economic Record, The Economic Society of Australia, vol. 71(214), pages 259-70, September.
    46. Kurozumi, Eiji, 2002. "Testing for stationarity with a break," Journal of Econometrics, Elsevier, vol. 108(1), pages 63-99, May.
    47. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
    48. Friedman, Milton, 1992. "Do Old Fallacies Ever Die?," Journal of Economic Literature, American Economic Association, vol. 30(4), pages 2129-32, December.
    49. Jonathan Temple, 1999. "The New Growth Evidence," Journal of Economic Literature, American Economic Association, vol. 37(1), pages 112-156, March.
    50. Ralf Becker & Walter Enders & Junsoo Lee, 2006. "A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 381-409, 05.
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