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What are we assuming when using inequality measures to quantify geographic concentration? An axiomatic approach

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  • Olga Alonso-Villar

Abstract

This paper formally shows the parallel that exists between inequality and spatial concentration measurement. This examination allows us to unveil the properties that the literature is implicitly assuming when using inequality measures to quantify the spatial concentration of economic activity. Thus, the properties satisfied by the Gini index and the generalized entropy family when using them to analyze location patterns are shown. In addition, another inequality-based concentration measure is proposed. Finally, the basic properties of the concentration measurement when using “employment Lorenz curves” are unveiled, and additive decompositions of these curves are proposed.

Suggested Citation

  • Olga Alonso-Villar, 2008. "What are we assuming when using inequality measures to quantify geographic concentration? An axiomatic approach," Working Papers 0801, Universidade de Vigo, Departamento de Economía Aplicada.
  • Handle: RePEc:vig:wpaper:0801
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    1. Robert Hutchens, 2004. "One Measure of Segregation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 555-578, May.
    2. Gilles Duranton & Henry G. Overman, 2005. "Testing for Localization Using Micro-Geographic Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(4), pages 1077-1106.
    3. Jens Suedekum, 2006. "Concentration and Specialization Trends in Germany since Re-unification," Regional Studies, Taylor & Francis Journals, vol. 40(8), pages 861-873.
    4. Joeri Gorter & S. Brakman & Albert van der Horst & H.F.L. Garretsen & M. Schram, 2005. "New economic geography, empirics, and regional policy," CPB Special Publication 56, CPB Netherlands Bureau for Economic Policy Analysis.
    5. Coral del Río & Olga Alonso-Villar, 2008. "Occupational and industrial segregation of female and male workers in Spain: An alternative approach," Working Papers 84, ECINEQ, Society for the Study of Economic Inequality.
    6. Karl Aiginger & Michael Pfaffermayr, 2004. "The Single Market and Geographic Concentration in Europe," Review of International Economics, Wiley Blackwell, vol. 12(1), pages 1-11, February.
    7. Paulo Guimarães & Octávio Figueiredo & Douglas Woodward, 2007. "Measuring The Localization Of Economic Activity: A Parametric Approach," Journal of Regional Science, Wiley Blackwell, vol. 47(4), pages 753-774, October.
    8. Cowell, F.A., 2000. "Measurement of inequality," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 2, pages 87-166, Elsevier.
    9. Olga Alonso-Villar & Coral Del R�o, 2008. "Geographical Concentration of Unemployment: A Male-Female Comparison in Spain," Regional Studies, Taylor & Francis Journals, vol. 42(3), pages 401-412, April.
    10. Haaland, J.I. & Kind, H.J. & knarvik, K.H.M. & Torstensson, J., 1998. "What Determines the Economic Geography of Europe?," Papers 19/98, Norwegian School of Economics and Business Administration-.
    11. Mary Amiti, 1999. "Specialization patterns in Europe," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 135(4), pages 573-593, December.
    12. Casey J. Dawkins, 2007. "Space And The Measurement Of Income Segregation," Journal of Regional Science, Wiley Blackwell, vol. 47(2), pages 255-272, May.
    13. Joeri Gorter & Albert Van der Horst, 2005. "New Economic Geography, Empirics, and Regional Policy," ERSA conference papers ersa05p236, European Regional Science Association.
    14. Brulhart, Marius & Traeger, Rolf, 2005. "An account of geographic concentration patterns in Europe," Regional Science and Urban Economics, Elsevier, vol. 35(6), pages 597-624, November.
    15. Hutchens, Robert M., 1991. "Segregation curves, Lorenz curves, and inequality in the distribution of people across occupations," Mathematical Social Sciences, Elsevier, vol. 21(1), pages 31-51, February.
    16. Eric Marcon & Florence Puech, 2003. "Evaluating the Geographic Concentration of Industries Using Distance-Based Methods," Post-Print halshs-00372646, HAL.
    17. Maurel, Francoise & Sedillot, Beatrice, 1999. "A measure of the geographic concentration in french manufacturing industries," Regional Science and Urban Economics, Elsevier, vol. 29(5), pages 575-604, September.
    18. Anthony Shorrocks & Guanghua Wan, 2005. "Spatial decomposition of inequality," Journal of Economic Geography, Oxford University Press, vol. 5(1), pages 59-81, January.
    19. Moyes, Patrick, 1987. "A new concept of Lorenz domination," Economics Letters, Elsevier, vol. 23(2), pages 203-207.
    20. Coral del Río & Olga Alonso-Villar, 2007. "An alternative proposal for measuring occupational segregation," Working Papers 82, ECINEQ, Society for the Study of Economic Inequality.
    21. J.Peter Neary, 2001. "Of Hype and Hyperbolas: Introducing the New Economic Geography," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 536-561, June.
    22. John A. Bishop & K. Victor Chow & Lester A. Zeager, 2003. "Decomposing Lorenz and Concentration Curves," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 965-978, August.
    23. Satya Chakravarty, 2001. "The Variance as a subgroup decomposable measure of inequality," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 53(1), pages 79-95, January.
    24. Bickenbach, Frank & Bode, Eckhardt, 2006. "Disproportionality measures of concentration, specialization, and polarization," Kiel Working Papers 1276, Kiel Institute for the World Economy (IfW Kiel).
    25. J. V. Henderson & J. F. Thisse (ed.), 2004. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 4, number 4.
    26. Eric Marcon & Florence Puech, 2003. "Evaluating the geographic concentration of industries using distance-based methods," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 409-428, October.
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    More about this item

    Keywords

    Inequality measures; Segregation; Geographic concentration; Axioms;
    All these keywords.

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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