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A mathematical framework for time-variant multi-state kinship modelling

Author

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  • Butterick, Joe W.B.
  • Smith, Peter W.F.
  • Bijak, Jakub
  • Hilton, Jason

Abstract

Recent research on kinship modelling in demography has extended age-structured models (i) to include additional characteristics, or “stages†(multi-state kinship), and (ii) to time-variant situations. A wide variety of population structures can affect kinship networks. However, only one prior model has comprehensively considered such effects, and under specific assumptions relating to the nature of individuals’ stages. As such, the leading multi-state framework for kin is theoretically limited in scope, and moreover, has yet to be implemented under time-variant demographic rates. Generalising kinship models to encompass arbitrary population characteristics and extending them to time-dependent processes remain open challenges in demography.

Suggested Citation

  • Butterick, Joe W.B. & Smith, Peter W.F. & Bijak, Jakub & Hilton, Jason, 2025. "A mathematical framework for time-variant multi-state kinship modelling," Theoretical Population Biology, Elsevier, vol. 163(C), pages 1-12.
    • Handle: RePEc:eee:thpobi:v:163:y:2025:i:c:p:1-12
    DOI: 10.1016/j.tpb.2025.02.002
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    References listed on IDEAS

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    1. Hal Caswell, 2022. "The formal demography of kinship IV: Two-sex models and their approximations," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 47(13), pages 359-396.
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    6. Hal Caswell, 2020. "The formal demography of kinship II: Multistate models, parity, and sibship," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 42(38), pages 1097-1146.
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