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On the Decomposition of Polarization Indices: Illustrations with Chinese and Nigerian Household Surveys

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  • Abdelkrim Araar

Abstract

This paper explores the link between polarization and inequality and proposes some analytical methods to decompose the Duclos, Esteban, and Ray (2004) polarization index by population groups or income sources. In some cases, the decomposition methods were extend to the Esteban and Ray (1994) one. The main aim of these decomposition methods is to extend the interpretation derived from polarization indices to that of contribution components. Results drawn from Chinese data conclude that even if inequality has increased sharply during the last two decades, the pure polarization component was remained constant or even decreased on average. On the other hand, results from the 2004 Nigerian survey conclude that the population is spatially polarized, and this, based on geo-ecological zones. Furthermore, the two income sources, namely, Employment income and Non farm business income, significantly contribute to total polarization.

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Bibliographic Info

Paper provided by CIRPEE in its series Cahiers de recherche with number 0806.

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Date of creation: 2008
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Handle: RePEc:lvl:lacicr:0806

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Keywords: Polarization; Equity; Inequality; Decomposition;

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References

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  1. Abdelkrim Araar & Awoyemi Taiwo, 2006. "Poverty and Inequality Nexus: Illustrations with Nigerian Data," Economics Bulletin, AccessEcon, vol. 28(15), pages A0.
  2. James Foster & Michael Wolfson, 2010. "Polarization and the decline of the middle class: Canada and the U.S," Journal of Economic Inequality, Springer, vol. 8(2), pages 247-273, June.
  3. Dwayne Benjamin & Loren Brandt & John Giles & Sangui Wang, 2005. "Income Inequality During China's Economic Transition," Working Papers tecipa-238, University of Toronto, Department of Economics.
  4. Joan-Maria Esteban & Debraj Ray, 1991. "On the Measurement of Polarization," Boston University - Institute for Economic Development 18, Boston University, Institute for Economic Development.
  5. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-27, September.
  6. repec:ebl:ecbull:v:28:y:2006:i:15:p:a0 is not listed on IDEAS
  7. Duclos, Jean-Yves & Esteban, Joan & Ray, Debraj, 2003. "Polarization: Concepts, Measurement, Estimation," Cahiers de recherche 0301, CIRPEE.
  8. repec:ebl:ecbull:v:3:y:2003:i:19:p:1-16 is not listed on IDEAS
  9. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-55, June.
  10. Hey, John D & Lambert, Peter J, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 567-73, November.
  11. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
  12. Ravallion, Martin & Chen, Shaohua, 1997. "What Can New Survey Data Tell Us about Recent Changes in Distribution and Poverty?," World Bank Economic Review, World Bank Group, vol. 11(2), pages 357-82, May.
  13. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  14. Abdelkrim Araar, 2006. "On the Decomposition of the Gini Coefficient: an Exact Approach, with an Illustration Using Cameroonian Data," Cahiers de recherche 0602, CIRPEE.
  15. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
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Cited by:
  1. Ibrahim Tutar & Aysit Tansel, 2011. "An Analysis of Political and Institutional Power Dispersion: The Case of Turkey," Working Papers 2011/5, Turkish Economic Association.
  2. Céline Bonnefond & Matthieu Clément, 2012. "An analysis of income polarisation in rural and urban China," Post-Communist Economies, Taylor & Francis Journals, vol. 24(1), pages 15-37, June.
  3. repec:hal:journl:halshs-00775929 is not listed on IDEAS
  4. Deutsch, Joseph & Fusco, Alessio & Silber, Jacques, 2013. "The BIP Trilogy (bipolarization, inequality and polarization): One saga but three different stories," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 7(22), pages 1-33.
  5. Jérôme Lefranc, 2012. "Polarisation et déclin de la classe moyenne : le cas de la Russie," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00775929, HAL.
  6. Jérôme Lefranc, 2012. "Polarisation et déclin de la classe moyenne : le cas de la Russie," Documents de travail du Centre d'Economie de la Sorbonne 12054, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  7. Chen, Xi & Zhang, Xiaobo, 2009. "The Distribution of Income and Well-Being in Rural China: A Survey of Panel Data Sets, Studies and New Directions," MPRA Paper 20587, University Library of Munich, Germany.

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