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Isolating changes in net residential segregation from the effect of demographic factors in the U.S., 1989-2005

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Ricardo Mora
Javier Ruiz-Castillo

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Abstract

This paper investigates residential segregation trends net of changes in the racial and the neighborhood marginal population distributions. It follows two alternative strategies. First, it uses indices of two types. Indices of the first type emphasize an evenness segregation concept and are only invariant to changes in the marginal distribution by race, while those of the second type emphasize a representativeness segregation concept and are only invariant to changes in the marginal distribution by neighborhood. Second, it uses the mutual information, or the M index that is not invariant to changes in either of the marginal distributions but admits two decompositions. Each of the decompositions isolates a term which (a) is invariant to changes in the marginal distribution of one of the two variables and the entropy, or diversity, of the other, and (b) reflects changes in either an evenness or a representativeness segregation notion. According to the M index, net residential segregation in both an evenness and a representative sense considerably decreases for the U.S. public school student population in urban areas in 1989-2005. Because of their failure to control for changes in the spatial entropy, invariant indices of the first type register a smaller decline in the evenness sense, while because of their failure to control for changes in the racial entropy invariant indices of the second type register an increase in residential segregation in the representativeness sense. Within the evenness perspective, all racial groups experiment a reduction in net segregation which is greatest for Hispanics.

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Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we086229.

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Date of creation: Dec 2008
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Handle: RePEc:cte:werepe:we086229

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Keywords: Multigroup segregation; Multilevel segregation; Residential segregation; Mutual information; Entropy indices; Invariance properties; Econometric models;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
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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, 05. [Downloadable!] (restricted)
  2. Hutchens, Robert, 2001. "Numerical measures of segregation: desirable properties and their implications," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 13-29, July. [Downloadable!] (restricted)
  3. Ricardo Mora & Javier Ruiz-Castillo, 2005. "The Axiomatic Properties Of An Entropy Based Index Of Segregation," Economics Working Papers we056231, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  4. Ricardo Mora & Javier Ruiz-Castillo, 2007. "The invariance properties of the Mutual Information index of multigroup segregation," Economics Working Papers we077544, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  5. 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. [Downloadable!] (restricted)
  6. Chakravarty, Satya R. & Silber, Jacques, 2007. "A generalized index of employment segregation," Mathematical Social Sciences, Elsevier, vol. 53(2), pages 185-195, March. [Downloadable!] (restricted)
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