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A dynamic model of the marriage market—Part 2: Simulation of marital states and application to empirical data

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  • Matthews, A.P.
  • Garenne, M.L.

Abstract

A dynamic, two-sex, age-structured marriage model is presented. Part 1 focused on first marriage only and described a marriage market matching algorithm. In Part 2 the model is extended to include divorce, widowing, and remarriage. The model produces a self-consistent set of marital states distributed by age and sex in a stable population by means of a gender-symmetric numerical method. The model is compared with empirical data for the case of Zambia. Furthermore, a dynamic marriage function for a changing population is demonstrated in simulations of three hypothetical scenarios of elevated mortality in young to middle adulthood. The marriage model has its primary application to simulation of HIV-AIDS epidemics in African countries.

Suggested Citation

  • Matthews, A.P. & Garenne, M.L., 2013. "A dynamic model of the marriage market—Part 2: Simulation of marital states and application to empirical data," Theoretical Population Biology, Elsevier, vol. 88(C), pages 86-93.
    • Handle: RePEc:eee:thpobi:v:88:y:2013:i:c:p:86-93
    DOI: 10.1016/j.tpb.2013.05.002
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    References listed on IDEAS

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    1. John Dagsvik & Helge Brunborg & Ane Flaatten, 2001. "A behavioral two-sex marriage model," Mathematical Population Studies, Taylor & Francis Journals, vol. 9(2), pages 97-121.
    2. Hisashi Inaba, 2000. "Persistent age distributions for an age-structured two-sex population model," Mathematical Population Studies, Taylor & Francis Journals, vol. 7(4), pages 365-398.
    3. Matthews, A.P. & Garenne, M.L., 2013. "A dynamic model of the marriage market—Part 1: Matching algorithm based on age preference and availability," Theoretical Population Biology, Elsevier, vol. 88(C), pages 78-85.
    4. Maia Martcheva & Fabio Milner, 2001. "The mathematics of sex and marriage, revisited," Mathematical Population Studies, Taylor & Francis Journals, vol. 9(2), pages 123-141.
    5. Eugene Choo & Aloysius Siow, 2006. "Estimating a marriage matching model with spillover effects," Demography, Springer;Population Association of America (PAA), vol. 43(3), pages 463-490, August.
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    Cited by:

    1. Li, Nan, 2022. "A two-sex renewal model and its population projection," Theoretical Population Biology, Elsevier, vol. 143(C), pages 46-51.

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