2021
DOI: 10.4054/demres.2021.45.16
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The formal demography of kinship III: Kinship dynamics with time-varying demographic rates

Abstract: Introduction 1.1 Kinship with time-invariant rates 2 Kinship with time-varying rates 2.1 Boundary conditions 2.2 Period, cohort, and age calculations 2.3 Dynamics of the kinship network 2.3.1 Daughters and descendants 2.3.2 Mothers and ancestors 2.3.3 Sisters and nieces 2.3.4 Aunts and cousins 3 Kinship in Sweden: The past and the future 4 Discussion 5 Appendix A Time-invariant kinship calculations

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Cited by 19 publications
(33 citation statements)
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“…Additional state variables can be added as in the age×parity model of Caswell (2020). And, time variation can be incorporated as in the models of Caswell and Song (2021) and Song and Caswell (2022).…”
Section: Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…Additional state variables can be added as in the age×parity model of Caswell (2020). And, time variation can be incorporated as in the models of Caswell and Song (2021) and Song and Caswell (2022).…”
Section: Discussionmentioning
confidence: 99%
“…The age structure z could be obtained from projection of a previous population (Caswell and Song 2021) or from an observed population structure. Here, following Goodman, Keyfitz, and Pullum 1974;Caswell 2019aCaswell , 2020, we use the stable population defined by the demographic rates in Ũ and F. Define a projection matrix for the female dominant population…”
Section: Ages At Maternity and Paternitymentioning
confidence: 99%
See 1 more Smart Citation
“…We use our recent exten sion of the matrix ana lytic kin ship model intro duced by Caswell (2019Caswell ( , 2020 to include time-vary ing demo graphic rates (Caswell and Song 2021). The time-vary ing model allows fer til ity and mor tal ity rates to vary over time.…”
Section: Methodsmentioning
confidence: 99%
“…Kin pres ence in the United States has changed dra mat i cally in recent decades because of these demo graphic changes. Chung and Alexander (2019) and Caswell and Song (2021) showed that kin ship mod els based on time-invari ant and time-vary ing rates canleadtosig nifi cantlydif fer entesti ma tesofkin shipbecausetheassump tionofsta ble rates is often vio lated. Before Caswell's matrix approach, the foun da tion of kin ship anal y sis was the work of Goodman et al (1974), who derived the expected num ber of kin of var i ous kinds at each age of a focal indi vid ual (who we call Focal, fol low ing Caswell and Song 2021) by inte grat ing over all the path ways by which Focal could accu mulate liv ing kin at a given age.…”
Section: Methodsmentioning
confidence: 99%