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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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    References listed on IDEAS

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    1. Christopher Lominac & Amitrajeet Batabyal, 2009. "An approach to the management of orchards that are vulnerable to attack by invasive species," Letters in Spatial and Resource Sciences, Springer, vol. 2(2), pages 123-131, October.
    2. Raj Chetty & Nathaniel Hendren & Maggie R Jones & Sonya R Porter, 2020. "Race and Economic Opportunity in the United States: an Intergenerational Perspective [“Intergenerational Mobility of Immigrants in the US Over Two Centuries,”]," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(2), pages 711-783.
    3. Ran Wei & Tony H Grubesic & Wei Kang, 2021. "Spatiotemporal patterns of alcohol outlets and violence: A spatially heterogeneous Markov chain analysis," Environment and Planning B, , vol. 48(8), pages 2151-2166, October.
    4. Joaquin Andaluz & Luis Fernando Lanaspa & Fernando Sanz, 2002. "Geographical Dynamics: A Sectoral Comparison Between the Economic Landscapes of the United States and Europe," Regional Studies, Taylor & Francis Journals, vol. 36(4), pages 321-332.
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    7. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, December.
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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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