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Decomposing Regional Income Inequality Using Two-Stage Nested Theil Decomposition Method

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Abstract

The objective of this paper is to present an inequality decomposition method, the two-stage nested Theil decomposition method, which is an extension of the ordinary one-stage Theil decomposition method. The method is analogous to a two-stage nested design in the analysis of variance (ANOVA). It considers the three-level hierarchical structure of a country: region-province-district, and decomposes the overall regional inequality, as measured by Theil indices based on district-level mean incomes, into three components: the between-region, between-province, and within-province inequality components. The within-province component is a weighted-average of within-province income inequalities for each province, while the between-province component is a weighted-average of between-province income inequalities within each region. The method uses districts as a basic regional unit to measure regional income inequality, rather than provinces, and thus can analyze the contribution of within-province inequalities as well as between-province and between-region inequalities to the overall regional income inequality in a coherent framework. This paper applies this two-stage nested Theil decomposition method to district-level income and population data in China and Indonesia and explores the factors of regional income inequality in China and Indonesia.

Suggested Citation

  • Takahiro Akita, 2000. "Decomposing Regional Income Inequality Using Two-Stage Nested Theil Decomposition Method," Working Papers EMS_2000_02, Research Institute, International University of Japan.
    • Handle: RePEc:iuj:wpaper:ems_2000_02
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    9. Takahiro AKITA & Rizal Affandi LUKMAN & Yukino YAMADA, 1999. "Inequality In The Distribution Of Household Expenditures In Indonesia: A Theil Decomposition Analysis," The Developing Economies, Institute of Developing Economies, vol. 37(2), pages 197-221, June.
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    Cited by:

    1. Eleonora CUTRINI, 2006. "The Balassa Index Meets the Dissimilarity Theil Index: a Decomposition Methodology for Location Studies," Working Papers 274, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    2. Eleonora Cutrini, 2005. "The Balassa Index meets the Theil Index - a Decomposition Methodology for Location Studies," ERSA conference papers ersa05p123, European Regional Science Association.
    3. Akita, Takahiro & Kawamura, Kazumi, 2002. "Regional income inequality in China and Indonesia: A comparative analysis," ERSA conference papers ersa02p432, European Regional Science Association.
    4. Reuter & Ulrich, 2004. "The Effects of Intraregional Disparities on Regional Development in China: Inequality Decomposition and Panel-Data Analysis," Econometric Society 2004 Far Eastern Meetings 716, Econometric Society.
    5. Vojtěch Nosek & Pavlína Netrdová, 2017. "What values of Moran’s I and Theil index decomposition really mean under different conditions: on the issue of interpretation," Letters in Spatial and Resource Sciences, Springer, vol. 10(2), pages 149-159, July.
    6. Takahiro Akita & Armida S. Alisjahbana, 2001. "The Economic Crisis and Regional Income Inequality in Indonesia," Working Papers EMS_2001_06, Research Institute, International University of Japan.
    7. Takahiro Akita, 2001. "Regional Income Inequality in China: A Two-Stage Nested Inequality Decomposition Analysis," Working Papers EMS_2001_05, Research Institute, International University of Japan.

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