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Classical convergence versus Zipf rank approach: Evidence from China’s local-level data

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  • Tang, Pan
  • Zhang, Ying
  • Baaquie, Belal E.
  • Podobnik, Boris

Abstract

This paper applies Zipf rank approach to measure how long it will take for the individual economy to reach the final state of equilibrium by using local-level data of China’s urban areas. The indicators, the gross domestic product (GDP) per capita and the market capitalization (MCAP) per capita of 150 major cities in China are used for analyzing their convergence. Besides, the power law relationship is examined for GDP and MCAP. Our findings show that, compared to the classical approaches: β-convergence and σ-convergence, the Zipf ranking predicts that, in approximately 16 years, all the major cities in China will reach comparable values of GDP per capita. However, the MCAP per capita tends to follow the periodic fluctuation of the economic cycle, while the mean-log derivation (MLD) confirms the results of our study. Moreover, GDP per capita and MCAP per capita follow a power law with an average value of α=0.41 which is higher than α=0.38 obtained based on a large number of countries around the world.

Suggested Citation

  • Tang, Pan & Zhang, Ying & Baaquie, Belal E. & Podobnik, Boris, 2016. "Classical convergence versus Zipf rank approach: Evidence from China’s local-level data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 246-253.
    • Handle: RePEc:eee:phsmap:v:443:y:2016:i:c:p:246-253
    DOI: 10.1016/j.physa.2015.09.050
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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    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. Young, Andrew T. & Higgins, Matthew J. & Levy, Daniel, 2008. "Sigma Convergence versus Beta Convergence: Evidence from U.S. County-Level Data," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 40(5), pages 1083-1093.
    4. 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.
    5. 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.
    6. Lucas, Robert E, Jr, 1990. "Why Doesn't Capital Flow from Rich to Poor Countries?," American Economic Review, American Economic Association, vol. 80(2), pages 92-96, May.
    7. Bernard, Andrew B. & Durlauf, Steven N., 1996. "Interpreting tests of the convergence hypothesis," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 161-173.
    8. Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
    9. Baotai Wang & D. Ajit, 2013. "Stock Market and Economic Growth in China," EcoMod2013 5649, EcoMod.
    10. Boris Podobnik & Davor Horvatic & Dror Y. Kenett & H. Eugene Stanley, 2012. "The competitiveness versus the wealth of a country," Papers 1209.2813, arXiv.org.
    11. Young, Andrew T. & Higgins, Matthew J. & Levy, Daniel, 2013. "Heterogeneous Convergence," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 120(2), pages 238-241.
    12. Ben R. Craig & William E. Jackson & James B. Thomson, 2004. "On SBA-guaranteed lending and economic growth," Working Papers (Old Series) 0403, Federal Reserve Bank of Cleveland.
    13. Baotai Wang & D. Ajit, 2013. "Stock Market and Economic Growth in China," Economics Bulletin, AccessEcon, vol. 33(1), pages 95-103.
    14. 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.
    15. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
    16. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    17. Harris, Richard D. F., 1997. "Stock markets and development: A re-assessment," European Economic Review, Elsevier, vol. 41(1), pages 139-146, January.
    18. Durlauf, Steven N., 2001. "Manifesto for a growth econometrics," Journal of Econometrics, Elsevier, vol. 100(1), pages 65-69, January.
    19. Evans, Paul & Karras, Georgios, 1996. "Do Economies Converge? Evidence from a Panel of U.S. States," The Review of Economics and Statistics, MIT Press, vol. 78(3), pages 384-388, August.
    20. Higgins, Matthew J. & Levy, Daniel & Young, Andrew T., 2006. "Growth and Convergence across the United States: Evidence from County-Level Data," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 88(4), pages 671-681.
    21. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    22. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-251, April.
    23. Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
    24. Nazrul Islam, 1995. "Growth Empirics: A Panel Data Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(4), pages 1127-1170.
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