IDEAS home Printed from https://ideas.repec.org/p/han/dpaper/dp-452.html

Peaks vs. Components

Author

Listed:
  • Vollmer, Sebastian
  • Holzmann, Hajo
  • Schwaiger, Florian

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.

Suggested Citation

  • Vollmer, Sebastian & Holzmann, Hajo & Schwaiger, Florian, 2010. "Peaks vs. Components," Hannover Economic Papers (HEP) dp-452, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  • Handle: RePEc:han:dpaper:dp-452
    as

    Download full text from publisher

    File URL: http://diskussionspapiere.wiwi.uni-hannover.de/pdf_bib/dp-452.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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..
    3. 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.
    4. 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.
    5. Quah, Danny, 1997. "Empirics for growth and distribution," LSE Research Online Documents on Economics 2138, London School of Economics and Political Science, LSE Library.
    6. Schumacher, Ingmar, 2009. "Endogenous discounting via wealth, twin-peaks and the role of technology," Economics Letters, Elsevier, vol. 103(2), pages 78-80, May.
    7. 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.
    8. 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.
    9. Danny Quah, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," CEP Discussion Papers dp0280, Centre for Economic Performance, LSE.
    10. 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.
    11. Sala-i-Martin, Xavier X, 1996. "The Classical Approach to Convergence Analysis," Economic Journal, Royal Economic Society, vol. 106(437), pages 1019-1036, July.
    12. Strulik, Holger, 2012. "Patience and prosperity," Journal of Economic Theory, Elsevier, vol. 147(1), pages 336-352.
    13. 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.
    14. 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.
    15. Galor, Oded, 1996. "Convergence? Inferences from Theoretical Models," Economic Journal, Royal Economic Society, vol. 106(437), pages 1056-1069, July.
    16. 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.
    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. Danny Quah, 1997. "Empirics for Growth and Distribution," CEP Discussion Papers dp0324, Centre for Economic Performance, LSE.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. Cavallaro, Eleonora & Villani, Ilaria, 2022. "Beyond financial deepening: Rethinking the finance-growth relationship in an uneven world," Economic Modelling, Elsevier, vol. 116(C).
    4. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Paul Johnson & Chris Papageorgiou, 2020. "What Remains of Cross-Country Convergence?," Journal of Economic Literature, American Economic Association, vol. 58(1), pages 129-175, March.
    2. Adriana Di Liberto, 2007. "Convergence and Divergence in Neoclassical Growth Models with Human Capital," Economia politica, Società editrice il Mulino, issue 2, pages 289-322.
    3. Barnabé Walheer, 2016. "Multi-Sector Nonparametric Production-Frontier Analysis of the Economic Growth and the Convergence of the European Countries," Pacific Economic Review, Wiley Blackwell, vol. 21(4), pages 498-524, October.
    4. Marco Alfo & Giovanni Trovato & Robert J. Waldmann, 2008. "Testing for country heterogeneity in growth models using a finite mixture approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(4), pages 487-514.
    5. Oleg Badunenko & Daniel J. Henderson & Valentin Zelenyuk, 2008. "Technological Change and Transition: Relative Contributions to Worldwide Growth During the 1990s," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(4), pages 461-492, August.
    6. Aparna Lolayekar & Pranab Mukhopadhyay, 2017. "Growth Convergence and Regional Inequality in India (1981–2012)," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 15(2), pages 307-328, June.
    7. Ezcurra, Roberto, 2007. "Is there cross-country convergence in carbon dioxide emissions?," Energy Policy, Elsevier, vol. 35(2), pages 1363-1372, February.
    8. Walheer, Barnabé, 2016. "Growth and convergence of the OECD countries: A multi-sector production-frontier approach," European Journal of Operational Research, Elsevier, vol. 252(2), pages 665-675.
    9. Steven N. Durlauf & Andros Kourtellos & Chih Ming Tan, 2008. "Empirics of Growth and Development," Chapters, in: Amitava Krishna Dutt & Jaime Ros (ed.), International Handbook of Development Economics, Volumes 1 & 2, volume 0, chapter 3, Edward Elgar Publishing.
    10. Andreas Pyka & Jens J. Kruger & Uwe Cantner, 2003. "Twin Peaks: What the Knowledge-based Approach Can Say about the Dynamics of the World Income Distribution," Chapters, in: Pier Paolo Saviotti (ed.), Applied Evolutionary Economics, chapter 9, Edward Elgar Publishing.
    11. Barnabé Walheer & Sergio Perelman, 2025. "Resource capacity and economic growth convergence," Journal of Productivity Analysis, Springer, vol. 63(3), pages 317-338, June.
    12. Hajo Holzmann & Sebastian Vollmer & Julian Weisbrod, 2007. "Twin Peaks or Three Components? - Analyzing the World\'s Cross-Country Distribution of Income," Ibero America Institute for Econ. Research (IAI) Discussion Papers 162, Ibero-America Institute for Economic Research.
    13. Leone Leonida & Daniel Montolio, 2001. "Convergence and Inter-Distributional Dynamics among the Spanish Provinces. A Non-parametric Density Estimation Approach," Working Papers 2001/7, Institut d'Economia de Barcelona (IEB).
    14. Lehmann, Hartmut & Silvagni, Maria Giulia, 2013. "Is There Convergence of Russia's Regions? Exploring the Empirical Evidence: 1995–2010," IZA Discussion Papers 7603, Institute of Labor Economics (IZA).
    15. Silvia Dal Bianco, 2016. "Going clubbing in the eighties: convergence in manufacturing sectors at a glance," Empirical Economics, Springer, vol. 50(2), pages 623-659, March.
    16. Sergio J. Rey & Mark V. Janikas, 2003. "Convergence and space," Urban/Regional 0311002, University Library of Munich, Germany, revised 16 Nov 2003.
    17. Li, Kui-Wai & Zhou, Xianbo & Pan, Zhewen, 2016. "Cross-country output convergence and growth: Evidence from varying coefficient nonparametric method," Economic Modelling, Elsevier, vol. 55(C), pages 32-41.
    18. Walheer, Barnabé, 2018. "Labour productivity growth and energy in Europe: A production-frontier approach," Energy, Elsevier, vol. 152(C), pages 129-143.
    19. Bloom, David E & Canning, David & Sevilla, Jaypee, 2003. "Geography and Poverty Traps," Journal of Economic Growth, Springer, vol. 8(4), pages 355-378, December.
    20. Shanmugam K. & Shanmugam K. Rangasamy, 2024. "Impact of fiscal transfers policy on regional growth convergence in India," Journal of the Asia Pacific Economy, Taylor & Francis Journals, vol. 29(1), pages 38-55, January.

    More about this item

    Keywords

    ;
    ;
    ;

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:han:dpaper:dp-452. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Heidrich, Christian (email available below). General contact details of provider: https://edirc.repec.org/data/fwhande.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.