Volume 42 - Article 38 | Pages 1097–1146
The formal demography of kinship II: Multistate models, parity, and sibship
By Hal Caswell
References
Barclay, K. and Kolk, M. (2019). Parity and mortality: An examination of different explanatory mechanisms using data on biological and adoptive parents. European Journal of Population 35(1): 63–85.
Blake, J. (1989). Family size and achievement. Berkeley: University of California Press.
Burch, T.K. (2018). Model-based demography: Essays on integrating data, technique and theory. Cham: Springer Nature.
Caswell, H. (2014). A matrix approach to the statistics of longevity in heterogeneous frailty models. Demographic Research 31(19): 553–592.
Caswell, H. (2019). Inequality and variance in longevity [unpublished].
Caswell, H. (2001). Matrix population models: Construction, analysis, and interpretation. Sunderland, MA: Sinauer Associates.
Caswell, H. (2019). The formal demography of kinship: A matrix formulation. Demographic Research 41(24): 679–712.
Caswell, H. and Vindenes, Y. (2018). Demographic variance in heterogeneous populations: Matrix models and sensitivity analysis. Oikos 127: 648–663.
Caswell, H., Vries, C., Hartemink, N., Roth, G., and Daalen, S.F. (2018). Age×stageclassified demographic analysis: A comprehensive approach. Ecological Monographs 88(4): 560–584.
Cools, S., Markussen, S., and Strøm, M. (2017). Children and careers: How family size affects parents’ labor market outcomes in the long run. Demography 54(5): 1773–1793.
de Vries, C. and Caswell, H. (2019). Stage-structured evolutionary demography: Linking life histories, population genetics, and ecological dynamics. The American Naturalist 193(4): 545–559.
Downey, D.B. (2001). Number of siblings and intellectual development: The resource dilution explanation. American Psychologist 56(6–7): 497–504.
Fahey, T. (2017). The sibsize revolution and social disparities in children’s family contexts in the United States, 1940–2012. Demography 54(3): 813–834.
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.
Hammel, E. (2005). Demographic dynamics and kinship in anthropological populations. Proceedings of the National Academy of Sciences USA 102(6): 2248–2253.
Hartemink, N. and Caswell, H. (2018). Variance in animal longevity: Contributions of heterogeneity and stochasticity. Population Ecology 60: 89–99.
Hartemink, N., Missov, T.I., and Caswell, H. (2017). Stochasticity, heterogeneity, and variance in longevity in human populations. Theoretical Population Biology 114: 107–117.
Henderson, H.V. and Searle, S.R. (1981). The vec-permutation matrix, the vec operator and Kronecker products: A review. Linear and Multilinear Algebra 9: 271–288.
Hernandez, C.M., van Daalen, S.F., Caswell, H., Neubert, M.G., and Gribble, K.E. (2019). Maternal effect senescence and fitness: A demographic analysis of a novel model organism.
Hrdy, S.B. (2009). Mothers and others. Cambridge: Harvard University Press.
Human Fertility Database (2019). Rostock: Max Planck Institute for Demographic Research; Vienna: Vienna Institute of Demography. .
Human Mortality Database (2019). Berkeley (USA: Berkeley: University of California; Rostock: Max Planck Institute for Demographic Research. .
Hunter, C.M. and Caswell, H. (2005). The use of the vec-permutation matrix in spatial matrix population models. Ecological Modelling 188(1): 15–21.
Jasilioniene, A., Jdanov, D.A., Sobotka, T., Andreev, E.M., Zeman, K., Shkolnikov, V.M., Goldstein, J., Nash, E.J., Philipov, D., and Rodriguez, G. (2019). Methods protocol for the Human Fertility Database.
Jenouvrier, S., Aubry, L.M., Barbraud, C., Weimerskirch, H., and Caswell, H. (2018). Interacting effects of unobserved heterogeneity and individual stochasticity in the life cycle of the Southern fulmar. Journal of Animal Ecology 87: 212–222.
Jeste, D.V., Lee, E.E., and Cacioppo, S. (2020). Battling the modern behavioral epidemic of loneliness: Suggestions for research and interventions. JAMA Psychiatry 77(6): 553–554.
Kalmijn, M. and Werfhorst, H.G. (2016). Sibship size and gendered resource dilution in different societal contexts. PLOS ONE 11(8): 0160953.
Keyfitz, N. and Caswell, H. (2005). Applied mathematical demography. New York: Springer.
Klepac, P. and Caswell, H. (2011). The stage-structured epidemic: Linking disease and demography with a multi-state matrix approach model. Theoretical Ecology 4(3): 301–319.
Kramer, K.L. (2019). How there got to be so many of us: The evolutionary story of population growth and a life history of cooperation. Journal of Anthropological Research 75(4): 472–497.
Kravdal, Ø, Glattre, E., and Haldorsen, T. (1991). Positive correlation between parity and incidence of thyroid cancer: New evidence based on complete Norwegian birth cohorts. International Journal of Cancer 49(6): 831–836.
Lotka, A.J. (1939). Theorie analytique des associations biologiques: Analyse demographique avec application particuliere a‘ l’espece humaine. Actualites Scientifiques et Industrielles. (Hermann et Cie, (Published in translation as: Analytical theory of biological populations, translated by D.P. Smith and H. Rossert.).
Margolis, R. and Verdery, A.M. (2017). Older adults without close kin in the States. The Journals of Gerontology: Series B 72(4): 688–693.
Mills, M. (2000). The transformation of partnerships¿ Canada, the Netherlands, and the Russian Federation in the age of modernity. Amsterdam: Thela Thesis Population Studies Series.
Nitsch, A., Faurie, C., and Lummaa, V. (2014). Alloparenting in humans: Fitness consequences of aunts and uncles on survival in historical Finland. Behavioral Ecology 25(2): 424–433.
Plesko, I., Dimitrova, E., Somogyi, J., Preston-Martin, S., Day, N., and Tzonou, A. (1985). Parity and cancer risk in Slovakia. International Journal of Cancer 36(5): 529–533.
Pollard, J.H. (1973). Mathematical models for the growth of human populations. Cambridge: Cambridge University Press.
Preston, S.H. (1976). Family sizes of children and family sizes of women. Demography 13(1): 105–114.
Pullum, T.W. and Wolf, D.A. (1991). Correlations between frequencies of kin. Demography 28(3): 391–409.
Roth, G. and Caswell, H. (2016). Hyperstate matrix models: Extending demographic state spaces to higher dimensions. Methods in Ecology and Evolution 7(12): 1438–1450.
Schoen, R. (2016). Hierarchical multistate models from population data: An application to parity statuses. PeerJ 4: 2535.
Schoen, R. (2019). On the implications of age-specific fertility for sibships and birth spacing. In: Schoen, R. (ed.). Analytical family demography. Cham: Springer Nature: 201–214.
Schoen, R. (2019). Parity progression and the kinship network. Cham: Springer Nature.
Sear, R. and Mace, R. (2008). Who keeps children alive? A review of the effects of kin on child survival. Evolution and Human Behavior 29(1): 1–18.
Song, X. and Mare, R.D. (2019). Shared lifetimes, multigenerational exposure, and educational mobility. Demography 56(3): 891–916.
Sonneveldt, E., Plosky, W.D., and Stover, J. (2013). child mortality: What is the impact of lower health order births? BMC Public Health 13(3): 7.
Tanskanen, A.O. and Danielsbacka, M. (2019). Intergenerational family relations: An evolutionary social science approach. In: Routledge Advances in Sociology. New York: Routledge.
Valtorta, N.K., Kanaan, M., Gilbody, S., Ronzi, S., and Hanratty, B. (2016). Loneliness and social isolation as risk factors for coronary heart disease and stroke: systematic review and meta-analysis of longitudinal observational studies. Heart 102(13): 1009–1016.
van Daalen, S.F. and Caswell, H. (2020). Variance as a life history outcome: Sensitivity analysis of the contributions of stochasticity and heterogeneity. Ecological Modelling 147.
van den Broek, T., Tosi, M., and Grundy, E. (2019). Offspring and later-life loneliness Eastern and Western Europe. Journal of Family Research 31(2): 199–215.
van Imhoff, E., Kuijsten, A., Hooimeijer, P., and Wissen, L.J. (1995). Household demography and household modeling. New York: Plenum Press.
Verdery, A.M. and Margolis, R. (2017). Projections of white and black older adults without living kin in the United States, 2015 to 2060. Proceedings of the National Academy of Sciences 114(42): 11109–11114.
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.
Willekens, F. (2009). Family and household demography. In: Zeng, Y. (ed.). Encyclopedia of Life Support Systems (EOLSS): Demography. EOLLS Publishers.
Willekens, F., van Imhoff, E., and Wright, J.D. (2015). Formal demography of families and households. International Encyclopedia of the Social and Behavioral Sciences 8(2): 725–730.
Zeng, Y., Land, K.C., Gu, D., and Wang, Z. (2014). Household and living arrangement projections: The extended cohort-component method and applications to the US and China. Dordrecht: Springer.
Zeng, Y., Vaupel, J.W., and Zhenglian, W. (1997). A multi-dimensional model for projecting family households-with an illustrative numerical application. Mathematical Population Studies 6(3): 187–216.
Zeng, Y., Vaupel, J.W., and Zhenglian, W. (1998). Household projection using conventional demographic data. Population and Development Review 24: 59–87.
Zhao, M. and Zhang, Y. (2019). Parental childcare support, sibship status, and mothers’ second-child plans in urban China. Demographic Research 41(47): 1315–1346.
Ziomkiewicz, A., Sancilio, A., Galbarczyk, A., Klimek, M., Jasienska, G., and Bribiescas, R.G. (2016). Evidence for the cost of reproduction in humans: High lifetime reproductive effort is associated with greater oxidative stress in post-menopausal women. PLOS ONE 11(1): 0145753.