Volume 41 - Article 24 | Pages 679–712  

The formal demography of kinship: A matrix formulation

By Hal Caswell

References

Bartholomew, D. J. (1982). Stochastic models for social processes. New York: Wiley.

Download reference:

Bengtson, V. L. (2001). Beyond the nuclear family: The increasing importance of multigenerational bonds. Journal of Marriage and Family 63(1): 1–16.

Weblink:
Download reference:

Brennan, E. R., James, A. V., and Morrill, W. T. (1982). Inheritance, demographic structure, and marriage: A cross-cultural perspective. Journal of Family History 7(3): 289–298.

Weblink:
Download reference:

Burch, T. K. (1995). Estimating the Goodman, Keyfitz, Pullum kinship equations: An alternative procedure. Mathematical Population Studies 5(2): 161–170.

Weblink:
Download reference:

Caswell, H. (2001). Matrix population models: Construction, analysis, and interpretation. Sunderland: Sinauer.

Download reference:

Caswell, H. (2008). Perturbation analysis of nonlinear matrix population models. Demographic Research 18(3): 59–116.

Weblink:
Download reference:

Caswell, H., de Vries, C., Hartemink, N., Roth, G., and van Daalen, S. F. (2018). Age × stage-classified demographic analysis: A comprehensive approach. Ecological Monographs 88(4): 560–584.

Weblink:
Download reference:

Caswell, H. and Vindenes, Y. (2018). Demographic variance in heterogeneous populations: Matrix models and sensitivity analysis. Oikos 127(5): 648–663.

Weblink:
Download reference:

Coale, A. J. (1972). The growth and structure of human populations: A mathematical approach. Princeton: Princeton University Press.

Download reference:

Croft, D. P., Johnstone, R. A., Ellis, S., Nattrass, S., Franks, D. W., Brent, L. J., Mazzi, S., Balcomb, K. C., Ford, J. K., and Cant, M. A. (2017). Reproductive conflict and the evolution of menopause in killer whales. Current Biology 27(2): 298–304.

Weblink:
Download reference:

DeRigne, L. and Ferrante, S. (2012). The sandwich generation: A review of the literature. Florida Public Health Review 9: 95–104.

Download reference:

Dykstra, P. A. (2010). Intergenerational family relationships in ageing societies. New York: United Nations,.

Download reference:

Farris, D. N. (2016). Boomerang kids: The demography of previously launched adults. Cham: Springer.

Download reference:

Fukawa, T. (2018). Prevalence of dementia among the elderly population of Japan. Health and Primary Care 2(4): 1–6.

Weblink:
Download reference:

Gisser, R. and Ediev, D. M. (2019). Having ancestors alive: Trends and prospects in ageing Europe. In: Schoen, R. (ed.). Analytical family demography. Cham: Springer: 241–274.

Download reference:

Goldman, N. (1978). Estimating the intrinsic rate of increase of population from the average numbers of younger and older sisters. Demography 15(4): 499–507.

Weblink:
Download reference:

Goodman, L. A., Keyfitz, N., and Pullum, T. W. (1974). Family formation and the frequency of various kinship relationships. Theoretical Population Biology 5(1): 1–27.

Weblink:
Download reference:

Greenwood, M. and Yule, G. U. (1914). On the determination of size of family and of the distribution of characters in order of birth from samples taken through members of the sibships. Journal of the Royal Statistical Society 77(2): 179–199.

Weblink:
Download reference:

Harpending, H. and Draper, P. (1990). Estimating parity of parents: Application to the history of infertility among the !Kung of Southern Africa. Human Biology 62(2): 195–203.

Download reference:

Himes, C. L. (1992). Future caregivers: Projected family structures of older persons. Journal of Gerontology 47(1): S17–S26.

Weblink:
Download reference:

Hrdy, S. B. (2009). Mothers and others. Cambridge: Harvard University Press.

Download reference:

Human Fertility Database (2018). Human fertility database [electronic resource]. Rostock and Vienna: Max Planck Institute for Demographic Research and the Vienna Institute of Demography.

Weblink:
Download reference:

Human Mortality Database (2018). Human mortality database [electronic resource]. Berkeley and Rostock: University of California, Berkeley and Max Planck Institute for Demographic Research. .

Weblink:
Download reference:

Jones, J. H. and Morris, M. (2003). Orphans and ‘grandorphans’ in sub-Saharan Africa: The consequences of dependent mortality. Paper presented at the The Annual Meeting of the Population Association of America, Minneapolis, USA, May 1–3, 2003.

Download reference:

Kazeem, A. and Jensen, L. (2017). Orphan status, school attendance, and relationship to household head in Nigeria. Demographic Research 36(22): 659–690.

Weblink:
Download reference:

Keyfitz, N. and Caswell, H. (2005). Applied mathematical demography. New York: Springer.

Download reference:

Krishnamoorthy, S. (1979). Family formation and the life cycle. Demography 16(1): 121–129.

Weblink:
Download reference:

Lahdenperä, M., Gillespie, D. O., Lummaa, V., and Russell, A. F. (2012). Severe intergenerational reproductive conflict and the evolution of menopause. Ecology Letters 15(11): 1283–1290.

Weblink:
Download reference:

Leslie, P. H. (1945). On the use of matrices in certain population mathematics. Biometrika 33(3): 183-212.

Weblink:
Download reference:

Lotka, A. J. (1931). Orphanhood in relation to demographic factors. Metron 9: 37–109.

Download reference:

Mare, R. D. and Song, X. (2015). The changing demography of multigenerational relationships. Paper presented.

Download reference:

McDaniel, C. and Hammel, E. (1984). A kin-based measure of r and an evaluation of its effectiveness. Demography 21(1): 41–51.

Weblink:
Download reference:

Pascual, M. and Caswell, H. (1991). The dynamics of a size-classified benthic population with reproductive subsidy. Theoretical Population Biology 39(2): 129–147.

Weblink:
Download reference:

Pollard, J. H. (1968). A note on the age structures of learned societies. Journal of the Royal Statistical Society Series A: General 131(4): 569–578.

Weblink:
Download reference:

Pollard, J. H. (1966). On the use of the direct matrix product in analysing certain stochastic population models. Biometrika 53(3–4): 397–15.

Weblink:
Download reference:

Pullum, T. W. (1982). The eventual frequencies of kin in a stable population. Demography 19(4): 549–565.

Weblink:
Download reference:

Pullum, T. W. and Wolf, D. A. (1991). Correlations between frequencies of kin. Demography 28(3): 391–409.

Weblink:
Download reference:

Roche, S. (2014). Domesticating youth: Youth bulges and their socio-political implications in Tajikistan. New York: Berghahn Books.

Download reference:

Roche, S. (2010). From youth bulge to conflict: The case of Tajikistan. Central Asian Survey 29(4): 405–419.

Weblink:
Download reference:

Schoen, R. (2019). Parity progression and the kinship network. In: Schoen, R. (ed.). Analytical family demography. Cham: Springer: 189–199.

Download reference:

Song, X. (2016). Diverging mobility trajectories: Grandparent effects on educational attainment in one- and two-parent families in the United States. Demography 53(6): 1905–1932.

Weblink:
Download reference:

Song, X. and Campbell, C. D. (2017). Genealogical microdata and their significance for social science. Annual Review of Sociology 43: 75–99.

Weblink:
Download reference:

Song, X. and Mare, R. D. (2017). Short-term and long-term educational mobility of families: A two-sex approach. Demography 54(1): 145–173.

Weblink:
Download reference:

Stecklov, G. (2002). The economic boundaries of kinship in Côte d’Ivoire. Population Research and Policy Review 21(4): 351–375.

Weblink:
Download reference:

Tanskanen, A. O. and Danielsbacka, M. (2019). Intergenerational family relations: An evolutionary social science approach. New York: Routledge.

Download reference:

Tu, E. J. C., Freedman, V. A., and Wolf, D. A. (1993). Kinship and family support in Taiwan: A microsimulation approach. Research on Aging 15(4): 465–486.

Weblink:
Download reference:

Tuljapurkar, S. D., Puleston, C. O., and Gurven, M. D. (2007). Why men matter: Mating patterns drive evolution of human lifespan. PLOS One 2(8): e785.

Weblink:
Download reference:

Umberson, D., Olson, J. S., Crosnoe, R., Liu, H., Pudrovska, T., and Donnelly, R. (2017). Death of family members as an overlooked source of racial disadvantage in the United States. Proceedings of the National Academy of Sciences 114(5): 915–920.

Weblink:
Download reference:

Wachter, K. W. (1997). Kinship resources for the elderly. Philosophical Transactions of the Royal Society of London Series B: Biological Sciences 352(1363): 1811–1817.

Weblink:
Download reference:

Zagheni, E. (2010). The impact of the HIV/AIDS epidemic on orphanhood probabilities and kinship structure in Zimbabwe [PhD Thesis]. (Berkeley: University of California, Berkeley).

Download reference:

Zagheni, E. and Wagner, B. (2015). The impact of demographic change on intergenerational transfers via bequests. Demographic Research.

Weblink:
Download reference:

Back to the article