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On decomposing inequality and poverty changes over time: A multi-dimensional decomposition

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  • Mussini, Mauro

Abstract

The paper proposes a multi-dimensional decomposition of the changes in the Gini inequality index and the Sen–Shorrocks–Thon poverty index over time. The link among inequality change, re-ranking of individuals and income growth is explained by isolating the source and subgroup contributions to the determinants of the inequality change over time. We show that the poverty change over time depends on the re-ranking of individuals and the change in relative disparities among poverty gaps. These determinants of the change in poverty inequality are then decomposed by source and subgroup, yielding a three-way decomposition which combines time, source and subgroup ways of decomposing. An application to Italian household income data illustrates the proposed decomposition.

Suggested Citation

  • Mussini, Mauro, 2013. "On decomposing inequality and poverty changes over time: A multi-dimensional decomposition," Economic Modelling, Elsevier, vol. 33(C), pages 8-18.
    • Handle: RePEc:eee:ecmode:v:33:y:2013:i:c:p:8-18
    DOI: 10.1016/j.econmod.2013.03.010
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    References listed on IDEAS

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    1. Achille VERNIZZI, 2009. "Playing with the Hadamard product in decomposing Gini, concentration, redistribution and re-ranking indexes," Departmental Working Papers 2009-50, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    2. Masato Okamoto, 2011. "Source decomposition of changes in income inequality: the integral-based approach and its approximation by the chained Shapley-value approach," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 145-181, June.
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    6. Bruno Cheli & Gianni Betti, 1999. "Fuzzy analysis of poverty dynamics on an italian pseudo panel 1985-1994," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1-2), pages 85-105.
    7. Mauro Mussini, 2013. "A subgroup decomposition of the inequality change over time," Applied Economics Letters, Taylor & Francis Journals, vol. 20(4), pages 386-390, March.
    8. Kuan Xu & Lars Osberg, 2002. "The social welfare implications, decomposability, and geometry of the Sen family of poverty indices," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 35(1), pages 138-152, February.
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    10. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    11. St鰨ane Mussard & Patrick Richard, 2012. "Linking Yitzhaki's and Dagum's Gini decompositions," Applied Economics, Taylor & Francis Journals, vol. 44(23), pages 2997-3010, August.
    12. Mauro Mussini, 2013. "A matrix approach to the Gini index decomposition by subgroup and by income source," Applied Economics, Taylor & Francis Journals, vol. 45(17), pages 2457-2468, June.
    13. 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.
    14. Yitzhaki, Shlomo, 2002. "Do we need a separate poverty measurement?," European Journal of Political Economy, Elsevier, vol. 18(1), pages 61-85, March.
    15. Adam Wagstaff, 2009. "Reranking and Pro-Poor Growth: Decompositions for China and Vietnam," Journal of Development Studies, Taylor & Francis Journals, vol. 45(9), pages 1403-1425.
    16. St鰨ane 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.
    17. Stéphane Mussard & Kuan Xu, 2006. "Multidimensional Decomposition of the Sen Index: Some Further Thoughts," Cahiers de recherche 06-08, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    18. Son, Hyun Hwa, 2004. "A note on pro-poor growth," Economics Letters, Elsevier, vol. 82(3), pages 307-314, March.
    19. 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.
    20. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-1230, September.
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    Cited by:

    1. Sueyoshi, Toshiyuki & Qu, Jingjing & Li, Aijun & Liu, Xiaohong, 2021. "A new approach for evaluating technology inequality and diffusion barriers: The concept of efficiency Gini coefficient and its application in Chinese provinces," Energy, Elsevier, vol. 235(C).
    2. Elena Bárcena-Martín & Francisca García-Pardo & Ana Muñoz-Fernández & Salvador Pérez-Moreno, 2024. "Assessing Territorial Units’ Contribution to Convergence Beyond Aggregate Measures: The Role of Neighbourhood," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 175(2), pages 715-739, November.
    3. Mussini, Mauro & Grossi, Luigi, 2015. "Decomposing changes in CO2 emission inequality over time: The roles of re-ranking and changes in per capita CO2 emission disparities," Energy Economics, Elsevier, vol. 49(C), pages 274-281.
    4. Rodrigue Tido Takeng & Arnold Cedrick Soh Voutsa & Kévin Fourrey, 2023. "Decompositions of inequality measures from the perspective of the Shapley–Owen value," Theory and Decision, Springer, vol. 94(2), pages 299-331, February.
    5. Gulgun Bayaz Ozturk, 2018. "Anti‐Poverty Effects of In‐Kind Transfers Among Divorced or Separated Women in the United States," Poverty & Public Policy, John Wiley & Sons, vol. 10(1), pages 57-80, March.
    6. Mauro Mussini, 2017. "Decomposing Changes in Inequality and Welfare Between EU Regions: The Roles of Population Change, Re-Ranking and Income Growth," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 130(2), pages 455-478, January.
    7. Tang, Jianjun & Gong, Jiaowei & Ma, Wanglin & Rahut, Dil Bahadur, 2022. "Narrowing urban–rural income gap in China: The role of the targeted poverty alleviation program," Economic Analysis and Policy, Elsevier, vol. 75(C), pages 74-90.

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    More about this item

    Keywords

    Decomposition; Gini index; Sen–Shorrocks–Thon index; Population subgroup; Income source; Re-ranking; Income growth;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation

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