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Poverty Growth in Scandinavian Countries: A Sen Multi-decomposition

Author

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  • Stéphane Mussard

    () (GREDI, Université de Sherbrooke and GEREM, Université de Perpignan)

  • Pi Alperin María Noel

    () (LAMETA, Université Montpellier I)

Abstract

We show in this paper that the growth rate of the Sen index is multi-decomposable, that is, decomposable simultaneously by groups and income sources. The multi-decomposition of the poverty growth yields respectively: the growth rate of the poverty incidence (poverty rate) decomposed by groups, the growth rate of the poverty depth (poverty gap ratios) decomposed by sources and groups, and the growth rate of inequality decomposed by sources and groups. We demonstrate that the multi-decomposition is not unique. It is mainly dependent on poverty lines defined on the space of income sources. An application to Scandinavian countries shows that poverty lines based on non-correlation between the sources of incomes imply serious underestimation of the contribution levels of the different components of the global poverty growth. The main contribution of our paper is to pay a particular attention to the poverty growth and its source components in order to avoid underestimation of poverty growth.

Suggested Citation

  • Stéphane Mussard & Pi Alperin María Noel, 2010. "Poverty Growth in Scandinavian Countries: A Sen Multi-decomposition," Cahiers de recherche 10-21, Departement d'Economique de l'École de gestion à l'Université de Sherbrooke.
    • Handle: RePEc:shr:wpaper:10-21
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    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-1021.pdf
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    References listed on IDEAS

    as
    1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    2. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    3. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-329, September.
    4. FUSCO Alessio & GUIO Anne-Catherine & MARLIER Eric, 2011. "Income poverty and material deprivation in European countries," LISER Working Paper Series 2011-04, LISER.
    5. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-1385, November.
    6. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-255, June.
    7. Shorrocks, A F, 1982. "Inequality Decomposition by Factor Components," Econometrica, Econometric Society, vol. 50(1), pages 193-211, January.
    8. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    9. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    10. Stéphane Mussard & Patrick Richard, 2012. "Linking Yitzhaki's and Dagum's Gini decompositions," Applied Economics, Taylor & Francis Journals, vol. 44(23), pages 2997-3010, August.
    11. Yitzhaki, Shlomo, 2002. "Do we need a separate poverty measurement?," European Journal of Political Economy, Elsevier, vol. 18(1), pages 61-85, March.
    12. Stéphane Mussard & Luc Savard, 2012. "The Gini multi-decomposition and the role of Gini's transvariation: application to partial trade liberalization in the Philippines," Applied Economics, Taylor & Francis Journals, vol. 44(10), pages 1235-1249, April.
    13. Stephane Mussard, 2004. "The bidimensional decomposition of the Gini ratio. A case study: Italy," Applied Economics Letters, Taylor & Francis Journals, vol. 11(8), pages 503-505.
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    Cited by:

    1. Fusco, Alessio, 2015. "The relationship between income and housing deprivation: A longitudinal analysis," Economic Modelling, Elsevier, vol. 49(C), pages 137-143.
    2. Mussini, Mauro, 2013. "On decomposing inequality and poverty changes over time: A multi-dimensional decomposition," Economic Modelling, Elsevier, vol. 33(C), pages 8-18.

    More about this item

    Keywords

    Gini index; Sen index; Source decomposition; Subgroup decomposition;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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