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

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

Theoretical Population Biology, 2025, vol. 163, issue C, 1-12

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.

Keywords: Mathematical demography; Kinship; Matrix projections; Markov process; Age×stage-structured populations (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:163:y:2025:i:c:p:1-12

DOI: 10.1016/j.tpb.2025.02.002

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