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On the measurement of population weighted relative indices of mobility and convergence, with an illustration based on Chinese data

Author

Listed:
  • Elena Bárcena-Martin

    (Universidad de Málaga, Spain)

  • Elena Jacques Silber

    (Bar-Ilan University, Israel)

  • Yuan Zhang

    (Fudan University, Shanghai, China)

Abstract

This paper extends previous work on income-weighted measures of distributional change by defining in a unified framework population weighted and relative indices of structural and exchange mobility and measures of $\sigma$- and $\beta$-convergence. The analysis focuses on both the anonymous (comparison of cross- sections) and non-anonymous case (panel data) and unconditional as well conditional measures of pro-poor growth are defined. The empirical illustration, based on urban China data of non-retired individuals from the China Family Panel Studies, compares incomes in 2010 and 2014 and shows the usefulness of the tools introduced in the present study. It turns out that, during the period examined, there was $\beta$-convergence and slight $\sigma$-divergence, non-anonymous growth was pro-poor while anonymous growth was not. Income growth favored individuals with low levels of education as well as younger people in the non-anonymous case, but not in the anonymous case.

Suggested Citation

  • Elena Bárcena-Martin & Elena Jacques Silber & Yuan Zhang, 2019. "On the measurement of population weighted relative indices of mobility and convergence, with an illustration based on Chinese data," Working Papers 505, ECINEQ, Society for the Study of Economic Inequality.
  • Handle: RePEc:inq:inqwps:ecineq2019-505
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    File URL: http://www.ecineq.org/milano/WP/ECINEQ2019-505.pdf
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    References listed on IDEAS

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    1. Thomas Piketty & Li Yang & Gabriel Zucman, 2019. "Capital Accumulation, Private Property, and Rising Inequality in China, 1978–2015," American Economic Review, American Economic Association, vol. 109(7), pages 2469-2496, July.
    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. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    4. Kanbur, Ravi & Wang, Yue & Zhang, Xiaobo, 2021. "The great Chinese inequality turnaround," Journal of Comparative Economics, Elsevier, vol. 49(2), pages 467-482.
    5. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    6. Berrebi, Z. M. & Silber, Jacques, 1983. "On an absolute measure of distributional change," European Economic Review, Elsevier, vol. 22(2), pages 139-146, July.
    7. Nissanov, Zoya & Silber, Jacques, 2009. "On pro-poor growth and the measurement of convergence," Economics Letters, Elsevier, vol. 105(3), pages 270-272, December.
    8. Gary Fields & Paul Cichello & Samuel Freije & Marta Menéndez & David Newhouse, 2003. "For Richer or for Poorer? Evidence from Indonesia, South Africa, Spain, and Venezuela," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 67-99, April.
    9. Baumol, William J, 1986. "Productivity Growth, Convergence, and Welfare: What the Long-run Data Show," American Economic Review, American Economic Association, vol. 76(5), pages 1072-1085, December.
    10. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-115, February.
    11. Michael Grimm, 2007. "Removing the anonymity axiom in assessing pro-poor growth," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(2), pages 179-197, August.
    12. repec:zbw:bofitp:2017_006 is not listed on IDEAS
    13. Zhang, Xiaobo & Yang, Jin & Wang, Shenglin, 2011. "China has reached the Lewis turning point," China Economic Review, Elsevier, vol. 22(4), pages 542-554.
    14. Minami, Ryoshin, 1968. "The Turning Point in the Japanese Economy," Economic Review, Hitotsubashi University, vol. 19(3), pages 220-229, July.
    15. Nanak Kakwani & Shahid Khandker & Hyun H. Son, 2004. "Pro-poor growth: concepts and measurement with country case studies," Working Papers 1, International Policy Centre for Inclusive Growth.
    16. Frank A. Cowell, 1985. "Measures of Distributional Change: An Axiomatic Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 135-151.
    17. Yuan Zhang & Ting Shao & Qi Dong, 2018. "Reassessing the Lewis Turning Point in China: Evidence from 70,000 Rural Households," China & World Economy, Institute of World Economics and Politics, Chinese Academy of Social Sciences, vol. 26(1), pages 4-17, January.
    18. Kakwani, Nanok C, 1977. "Measurement of Tax Progressivity: An International Comparison," Economic Journal, Royal Economic Society, vol. 87(345), pages 71-80, March.
    19. Stephen P. Jenkins & Philippe Van Kerm, 2006. "Trends in income inequality, pro-poor income growth, and income mobility," Oxford Economic Papers, Oxford University Press, vol. 58(3), pages 531-548, July.
    20. Ravallion, Martin, 2004. "Pro-poor growth : A primer," Policy Research Working Paper Series 3242, The World Bank.
    21. Cowell, Frank & Litchfield, Julie & Mercader-Prats, Magda, 1999. "Income inequality comparisons with dirty data: the UK and Spain during the 1980s," LSE Research Online Documents on Economics 2240, London School of Economics and Political Science, LSE Library.
    22. Brezis, Elise S & Krugman, Paul R & Tsiddon, Daniel, 1993. "Leapfrogging in International Competition: A Theory of Cycles in National Technological Leadership," American Economic Review, American Economic Association, vol. 83(5), pages 1211-1219, December.
    23. Ryoshin Minami, 1968. "The Turning Point in the Japanese Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(3), pages 380-402.
    24. Deutsch, Joseph & Silber, Jacques, 2011. "On various ways of measuring pro-poor growth," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 5, pages 1-57.
    25. Donal O'Neill & Philippe Van Kerm, 2008. "An Integrated Framework For Analysing Income Convergence," Manchester School, University of Manchester, vol. 76(1), pages 1-20, January.
    26. Dollar, David & Kraay, Aart, 2002. "Growth Is Good for the Poor," Journal of Economic Growth, Springer, vol. 7(3), pages 195-225, September.
    27. repec:dau:papers:123456789/1560 is not listed on IDEAS
    28. Cowell, Frank A., 1980. "Generalized entropy and the measurement of distributional change," European Economic Review, Elsevier, vol. 13(1), pages 147-159, January.
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    Cited by:

    1. Robert Duval-Hernandez & Gary S. Fields & George H. Jakubson, 2020. "Inequality and Panel Income Changes: Conditions for Possibilities and Impossibilities," Working Papers 541, ECINEQ, Society for the Study of Economic Inequality.

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    More about this item

    Keywords

    $beta$-convergence; $sigma$-divergence; exchange mobility; structural mobility; pro-poor growth; China.;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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