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A spatial decomposition of the Gini coefficient

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  • Sergio Rey

    ()

  • Richard Smith

Abstract

The paper introduces a spatial decomposition of the Gini coefficient that supports the detection of spatial autocorrelation conjointly with an indicator of overall inequality. An additive pairwise decomposition based on a spatial weights matrix partitions inequality between observations that are geographically neighbors and those that are not. A framework for inference on the spatial decomposition is also suggested. The statistical properties of the decomposition measure are evaluated in a Monte Carlo simulation and an empirical illustration involving per capita income inequality in the US states is also provided. Copyright Springer-Verlag 2013

Suggested Citation

  • Sergio Rey & Richard Smith, 2013. "A spatial decomposition of the Gini coefficient," Letters in Spatial and Resource Sciences, Springer, vol. 6(2), pages 55-70, July.
  • Handle: RePEc:spr:lsprsc:v:6:y:2013:i:2:p:55-70
    DOI: 10.1007/s12076-012-0086-z
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    References listed on IDEAS

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    1. Ravi Kanbur, 2006. "The policy significance of inequality decompositions," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 4(3), pages 367-374, December.
    2. Frank Bickenbach & Eckhardt Bode, 2008. "Disproportionality Measures of Concentration, Specialization, and Localization," International Regional Science Review, , vol. 31(4), pages 359-388, October.
    3. Sergio J. Rey & Mark V. Janikas, 2004. "STARS: Space-Time Analysis of Regional Systems," Urban/Regional 0406001, EconWPA.
    4. Briant, A. & Combes, P.-P. & Lafourcade, M., 2010. "Dots to boxes: Do the size and shape of spatial units jeopardize economic geography estimations?," Journal of Urban Economics, Elsevier, vol. 67(3), pages 287-302, May.
    5. Casey J. Dawkins, 2007. "Space And The Measurement Of Income Segregation," Journal of Regional Science, Wiley Blackwell, vol. 47(2), pages 255-272.
    6. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, May.
    7. Anthony Shorrocks & Guanghua Wan, 2005. "Spatial decomposition of inequality," Journal of Economic Geography, Oxford University Press, vol. 5(1), pages 59-81, January.
    8. Clark, Stephen & Hemming, Richard & Ulph, David, 1981. "On Indices for the Measurement of Poverty," Economic Journal, Royal Economic Society, vol. 91(362), pages 515-526, June.
    9. 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.
    10. Arbia, Giuseppe & Piras, Gianfranco, 2009. "A new class of spatial concentration measures," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4471-4481, October.
    11. repec:ucp:bkecon:9780226264219 is not listed on IDEAS
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    More about this item

    Keywords

    Spatial inequality; Spatial autocorrelation; R1; D63; R12; C15; C63;

    JEL classification:

    • R1 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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