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Peak vs Components

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  • Sebastian Vollmer
  • Hajo Holzmann
  • Florian Schwaiger

Abstract

We analyze the cross-national distribution of GDP per capita and its evolution from 1970 to 2003. We argue that peaks are not a suitable measure for distinct growth regimes, because the number of peaks is not invariant under strictly monotonic transformations of the data (e.g. original vs. log scale). Instead, we model the distribution as a finite mixture, and determine its number of components (and hence of distinct growth regimes) from the data by rigorous statistical testing. We find that the distribution appears to have only two components in 1970-1975, but consists of three components from 1976 onwards. The level of GDP per capita stagnated in the poorest component, and the richest component grew much faster than the medium component. These findings empirically confirm the predictions of the unified growth theory.
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  • Sebastian Vollmer & Hajo Holzmann & Florian Schwaiger, 2013. "Peak vs Components," Review of Development Economics, Wiley Blackwell, vol. 17(2), pages 352-364, May.
  • Handle: RePEc:bla:rdevec:v:17:y:2013:i:2:p:352-364
    DOI: 10.1111/rode.2013.17.issue-2
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    1. Bryan Graham & Jonathan Temple, 2006. "Rich Nations, Poor Nations: How Much Can Multiple Equilibria Explain?," Journal of Economic Growth, Springer, vol. 11(1), pages 5-41, March.
    2. Sala-i-Martin, Xavier X, 1996. "The Classical Approach to Convergence Analysis," Economic Journal, Royal Economic Society, vol. 106(437), pages 1019-1036, July.
    3. Galor, Oded, 1996. "Convergence? Inferences from Theoretical Models," Economic Journal, Royal Economic Society, vol. 106(437), pages 1056-1069, July.
    4. Strulik, Holger, 2012. "Patience and prosperity," Journal of Economic Theory, Elsevier, vol. 147(1), pages 336-352.
    5. Hanfeng Chen & Jiahua Chen & John D. Kalbfleisch, 2004. "Testing for a finite mixture model with two components," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 95-115, February.
    6. Danny Quah, 1997. "Empirics for Growth and Distribution," CEP Discussion Papers dp0324, Centre for Economic Performance, LSE.
    7. Bianchi, Marco, 1997. "Testing for Convergence: Evidence from Non-parametric Multimodality Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 393-409, July-Aug..
    8. Robert J. Barro, 1991. "Economic Growth in a Cross Section of Countries," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 407-443.
    9. Quah, Danny T, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," Economic Journal, Royal Economic Society, vol. 106(437), pages 1045-1055, July.
    10. Charles I. Jones, 1997. "On the Evolution of the World Income Distribution," Journal of Economic Perspectives, American Economic Association, vol. 11(3), pages 19-36, Summer.
    11. Schumacher, Ingmar, 2009. "Endogenous discounting via wealth, twin-peaks and the role of technology," Economics Letters, Elsevier, vol. 103(2), pages 78-80, May.
    12. Oded Galor, 2010. "The 2008 Lawrence R. Klein Lecture-Comparative Economic Development: Insights From Unified Growth Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 1-44, February.
    13. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    14. Quah, Danny, 1997. "Empirics for growth and distribution," LSE Research Online Documents on Economics 2138, London School of Economics and Political Science, LSE Library.
    15. Quah, Danny, 1996. "Twin peaks : growth and convergence in models of distribution dynamics," LSE Research Online Documents on Economics 2278, London School of Economics and Political Science, LSE Library.
    16. Danny Quah, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," CEP Discussion Papers dp0280, Centre for Economic Performance, LSE.
    17. Hanfeng Chen & Jiahua Chen & John D. Kalbfleisch, 2001. "A modified likelihood ratio test for homogeneity in finite mixture models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(1), pages 19-29.
    18. Fraley C. & Raftery A.E., 2002. "Model-Based Clustering, Discriminant Analysis, and Density Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 611-631, June.
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    Cited by:

    1. Sebastian Vollmer & Hajo Holzmann & Florian Ketterer & Stephan Klasen, 2013. "Distribution dynamics of regional GDP per employee in unified Germany," Empirical Economics, Springer, vol. 44(2), pages 491-509, April.
    2. Arunachalam, Raj & Shenoy, Ajay, 2017. "Poverty traps, convergence, and the dynamics of household income," Journal of Development Economics, Elsevier, vol. 126(C), pages 215-230.
    3. Holger Strulik & Sebastian Vollmer, 2015. "The fertility transition around the world," Journal of Population Economics, Springer;European Society for Population Economics, vol. 28(1), pages 31-44, January.
    4. Cavallaro, Eleonora & Villani, Ilaria, 2022. "Beyond financial deepening: Rethinking the finance-growth relationship in an uneven world," Economic Modelling, Elsevier, vol. 116(C).

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    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence
    • F01 - International Economics - - General - - - Global Outlook

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