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Conditional [beta]- and [sigma]-convergence in space: A maximum likelihood approach

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  • Pfaffermayr, Michael

Abstract

Empirical work on regional growth under spatial spillovers uses two workhorse models: the spatial Solow model and Verdoorn's model. This paper contrasts these two views on regional growth processes and demonstrates that in both models the speed of convergence also depends on the remoteness and the income gaps of all regions. Furthermore, the paper introduces Wald tests for conditional spatial [sigma]-convergence based on a spatial maximum likelihood approach. Empirical estimates for 212 European regions covering the period 1980-2002 reveal a slow speed of convergence of about 0.4-0.6% per year under both models. However, pronounced heterogeneity in the convergence speed is evident. The Wald tests indicate significant conditional spatial [sigma]-convergence of about 1.6% per year under the spatial Solow model. Verdoorn's specification points to a smaller average variance reduction during the considered period.

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  • Pfaffermayr, Michael, 2009. "Conditional [beta]- and [sigma]-convergence in space: A maximum likelihood approach," Regional Science and Urban Economics, Elsevier, vol. 39(1), pages 63-78, January.
  • Handle: RePEc:eee:regeco:v:39:y:2009:i:1:p:63-78
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    Cited by:

    1. Seya, Hajime & Tsutsumi, Morito & Yamagata, Yoshiki, 2012. "Income convergence in Japan: A Bayesian spatial Durbin model approach," Economic Modelling, Elsevier, vol. 29(1), pages 60-71.
    2. Rodríguez-Pose, Andrés & Tselios, Vassilis & Winkler, Deborah & Farole, Thomas, 2013. "Geography and the Determinants of Firm Exports in Indonesia," World Development, Elsevier, vol. 44(C), pages 225-240.
    3. Harald Oberhofer & Michael Pfaffermayr, 2013. "Firm growth in multinational corporate groups," Empirical Economics, Springer, pages 1435-1453.
    4. Novotný, JOSEF, 2011. "Convergence and divergence in living standards among regions of the enlarged European Union (1992-2006)," MPRA Paper 34145, University Library of Munich, Germany.
    5. Glass, Anthony J. & Kenjegalieva, Karligash & Sickles, Robin C. & Weyman-Jones, Thomas, 2016. "The Spatial Efficiency Multiplier and Random Effects in Spatial Stochastic Frontier Models," Working Papers 16-002, Rice University, Department of Economics.
    6. Yoshihiro Hashiguchi, 2010. "Bayesian estimation of spatial externalities using regional production function: the case of China and Japan," Economics Bulletin, AccessEcon, vol. 30(1), pages 751-764.
    7. R. Basile & S. Usai, 2012. "Analysis of regional endogenous growth," Working Paper CRENoS 201211, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    8. Glass, Anthony J. & Kenjegalieva, Karligash & Sickles, Robin C., 2016. "A spatial autoregressive stochastic frontier model for panel data with asymmetric efficiency spillovers," Journal of Econometrics, Elsevier, vol. 190(2), pages 289-300.
    9. Daniela Bunea, 2012. "Is Internal Migration Relevant to Regional Convergence? Comparative Analysis Across Five European Countries," Romanian Journal of Regional Science, Romanian Regional Science Association, vol. 6(2), pages 53-72, DECEMBER.
    10. Philipp Breidenbach & Timo Mitze & Christoph Schmidt, 2011. "Evaluating EU Regional Policy: Many Empirical Specifications, One (Unpleasant) Result," ERSA conference papers ersa11p1144, European Regional Science Association.
    11. Maza, Adolfo & Hierro, María & Villaverde, José, 2012. "Income distribution dynamics across European regions: Re-examining the role of space," Economic Modelling, Elsevier, vol. 29(6), pages 2632-2640.
    12. Srinivas, Goli, 2014. "Demographic convergence and its linkage with health inequalities in India," MPRA Paper 79823, University Library of Munich, Germany, revised 05 Dec 2014.
    13. Björn Alecke & Timo Mitze & Gerhard Untiedt, 2013. "Growth effects of regional policy in Germany: results from a spatially augmented multiplicative interaction model," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 50(2), pages 535-554, April.
    14. Azomahou, Théophile T. & El ouardighi, Jalal & Nguyen-Van, Phu & Pham, Thi Kim Cuong, 2011. "Testing convergence of European regions: A semiparametric approach," Economic Modelling, Elsevier, vol. 28(3), pages 1202-1210, May.
    15. Vassilis Tselios, 2009. "Growth and Convergence in Income Per Capita and Income Inequality in the Regions of the EU," Spatial Economic Analysis, Taylor & Francis Journals, vol. 4(3), pages 343-370.
    16. repec:elg:eechap:14395_11 is not listed on IDEAS
    17. Vassilis Tselios, 2014. "The Granger-causality between income and educational inequality: a spatial cross-regressive VAR framework," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(1), pages 221-243, August.
    18. Jesús Crespo Cuaresma & Gernot Doppelhofer & Martin Feldkircher, 2009. "Economic Growth Determinants for European Regions: Is Central and Eastern Europe Different?," Focus on European Economic Integration, Oesterreichische Nationalbank (Austrian Central Bank), issue 3, pages 22-37.
    19. Glass, Anthony J. & Kenjegalieva, Karligash & Ajayi, Victor & Adetutu, Morakinyo & Sickles, Robin C., 2016. "Relative Winners and Losers from Efficiency Spillovers in Africa with Policy Implications for Regional Integration," Working Papers 16-003, Rice University, Department of Economics.

    More about this item

    Keywords

    Conditional spatial [beta]- and [sigma]-convergence Spatial Solow model Verdoorn's model Spatial maximum likelihood estimates European regions;

    JEL classification:

    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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