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Intersectional urban dynamics: a joint Markov chains approach

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  • Sergio Rey

    (San Diego State University)

Abstract

Discrete state Markov chains are widely used in regional science and economics to model spatial dynamics of a host of processes. This paper introduces an approach that extends the classic univariate focus to consider the joint spatial dynamics of two variables based on a Kronecker product framework. A test for interactions between the processes is proposed. The paper illustrates the framework in an empirical case study involving race and class dynamics in San Diego, California, and in a number of Monte Carlo simulations. The results reveal insights about these intersectional dynamics beyond those obtainable with the application of the traditional univariate Markov chain approach.

Suggested Citation

  • Sergio Rey, 2023. "Intersectional urban dynamics: a joint Markov chains approach," Letters in Spatial and Resource Sciences, Springer, vol. 16(1), pages 1-12, December.
  • Handle: RePEc:spr:lsprsc:v:16:y:2023:i:1:d:10.1007_s12076-023-00356-6
    DOI: 10.1007/s12076-023-00356-6
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    More about this item

    Keywords

    Spatial dynamics; Markov chain; Kronecker product; Race; Class;
    All these keywords.

    JEL classification:

    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • J15 - Labor and Demographic Economics - - Demographic Economics - - - Economics of Minorities, Races, Indigenous Peoples, and Immigrants; Non-labor Discrimination

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