IDEAS home Printed from https://ideas.repec.org/a/dem/demres/v42y2020i38.html
   My bibliography  Save this article

The formal demography of kinship II: Multistate models, parity, and sibship

Author

Listed:
  • Hal Caswell

    (Universiteit van Amsterdam)

Abstract

Background: Recent kinship models focus on the age structures of kin as a function of the age of the focal individual. However, variables in addition to age have important impacts. Generalizing age-specific models to multistate models including other variables is an important and hitherto unsolved problem. Objective: The aim is to develop a multistate kinship model, classifying individuals jointly by age and other criteria (generically, “stages”). Methods: The vec-permutation method is used to create multistate projection matrices including age- and stage-dependent survival, fertility, and transitions. These matrices operate on block-structured population vectors that describe the age×stage structure of each kind of kin, at each age of a focal individual. Results: The new matrix formulation is directly comparable to, and greatly extends, the recent age-classified kinship model of Caswell (2019a). As an application, a model is derived including age and parity. It provides, for all types of kin, the joint age×parity structure, the marginal age and parity structures, and the (normalized) parity distributions, at every age of the focal individual. The age×parity distributions provide the distributions of sibship sizes of kin. As an example, the model is applied to Slovakia (1960–2014). The results show a dramatic shift in the parity distribution as the frequency of low-parity kin increased and that of high-parity kin decreased. Contribution: This model extends the formal demographic analysis of kinship to age×stage-classified models. In addition to parity, other stage classifications, including marital status, maternal age effects, and sex are now open to analysis.

Suggested Citation

  • 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.
    • Handle: RePEc:dem:demres:v:42:y:2020:i:38
    DOI: 10.4054/DemRes.2020.42.38
    as

    Download full text from publisher

    File URL: https://www.demographic-research.org/volumes/vol42/38/42-38.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.4054/DemRes.2020.42.38?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Menghan Zhao & Yang Zhang, 2019. "Parental childcare support, sibship status and mothers’ second-child plans in urban China," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 41(47), pages 1315-1346.
    2. Tony Fahey, 2017. "The Sibsize Revolution and Social Disparities in Children’s Family Contexts in the United States, 1940–2012," Demography, Springer;Population Association of America (PAA), vol. 54(3), pages 813-834, June.
    3. Aïda Nitsch & Charlotte Faurie & Virpi Lummaa, 2014. "Alloparenting in humans: fitness consequences of aunts and uncles on survival in historical Finland," Behavioral Ecology, International Society for Behavioral Ecology, vol. 25(2), pages 424-433.
    4. Samuel Preston, 1976. "Family sizes of children and family sizes of women," Demography, Springer;Population Association of America (PAA), vol. 13(1), pages 105-114, February.
    5. van Daalen, Silke & Caswell, Hal, 2020. "Variance as a life history outcome: Sensitivity analysis of the contributions of stochasticity and heterogeneity," Ecological Modelling, Elsevier, vol. 417(C).
    6. Rachel Margolis & Ashton M. Verdery, 2017. "Older Adults Without Close Kin in the United States," The Journals of Gerontology: Series B, The Gerontological Society of America, vol. 72(4), pages 688-693.
    7. Xi Song & Robert D. Mare, 2019. "Shared Lifetimes, Multigenerational Exposure, and Educational Mobility," Demography, Springer;Population Association of America (PAA), vol. 56(3), pages 891-916, June.
    8. Hal Caswell, 2014. "A matrix approach to the statistics of longevity in heterogeneous frailty models," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 31(19), pages 553-592.
    9. Sara Cools & Simen Markussen & Marte Strøm, 2017. "Children and Careers: How Family Size Affects Parents’ Labor Market Outcomes in the Long Run," Demography, Springer;Population Association of America (PAA), vol. 54(5), pages 1773-1793, October.
    10. Matthijs Kalmijn & Herman G van de Werfhorst, 2016. "Sibship Size and Gendered Resource Dilution in Different Societal Contexts," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-16, August.
    11. Zeng Yi & James Vaupel & Wang Zhenglian, 1997. "A multi-dimensional model for projecting family households - with an illustrative numerical application," Mathematical Population Studies, Taylor & Francis Journals, vol. 6(3), pages 187-216.
    12. Thomas Pullum & Douglas Wolf, 1991. "Correlations between frequencies of kin," Demography, Springer;Population Association of America (PAA), vol. 28(3), pages 391-409, August.
    13. Hal Caswell, 2019. "The formal demography of kinship: A matrix formulation," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 41(24), pages 679-712.
    14. Hartemink, Nienke & Missov, Trifon I. & Caswell, Hal, 2017. "Stochasticity, heterogeneity, and variance in longevity in human populations," Theoretical Population Biology, Elsevier, vol. 114(C), pages 107-116.
    15. Kieron Barclay & Martin Kolk, 2019. "Parity and Mortality: An Examination of Different Explanatory Mechanisms Using Data on Biological and Adoptive Parents," European Journal of Population, Springer;European Association for Population Studies, vol. 35(1), pages 63-85, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hal Caswell & Rachel Margolis & Ashton Verdery, 2023. "The formal demography of kinship V: Kin loss, bereavement, and causes of death," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 49(41), pages 1163-1200.
    2. Hal Caswell & Silke van Daalen, 2021. "Healthy longevity from incidence-based models: More kinds of health than stars in the sky," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 45(13), pages 397-452.
    3. Sha Jiang & Shripad Tuljapurkar & Hal Caswell & Zhen Guo & Wenyun Zuo, 2023. "How does the demographic transition affect kinship networks?," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 48(32), pages 899-930.
    4. Petropoulos, Fotios & Apiletti, Daniele & Assimakopoulos, Vassilios & Babai, Mohamed Zied & Barrow, Devon K. & Ben Taieb, Souhaib & Bergmeir, Christoph & Bessa, Ricardo J. & Bijak, Jakub & Boylan, Joh, 2022. "Forecasting: theory and practice," International Journal of Forecasting, Elsevier, vol. 38(3), pages 705-871.
      • Fotios Petropoulos & Daniele Apiletti & Vassilios Assimakopoulos & Mohamed Zied Babai & Devon K. Barrow & Souhaib Ben Taieb & Christoph Bergmeir & Ricardo J. Bessa & Jakub Bijak & John E. Boylan & Jet, 2020. "Forecasting: theory and practice," Papers 2012.03854, arXiv.org, revised Jan 2022.
    5. Hal Caswell, 2024. "The formal demography of kinship VI: Demographic stochasticity and variance in the kinship network," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 51(39), pages 1201-1256.
    6. 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.
    7. Hal Caswell & Xi Song, 2021. "The formal demography of kinship III: Kinship dynamics with time-varying demographic rates," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 45(16), pages 517-546.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hal Caswell & Silke van Daalen, 2021. "Healthy longevity from incidence-based models: More kinds of health than stars in the sky," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 45(13), pages 397-452.
    2. Seongsoo Choi & Riley Taiji & Manting Chen & Christiaan Monden, 2020. "Cohort Trends in the Association Between Sibship Size and Educational Attainment in 26 Low-Fertility Countries," Demography, Springer;Population Association of America (PAA), vol. 57(3), pages 1035-1062, June.
    3. Bongoh Kye & Yool Choi, 2021. "Are parents and children coresiding less than before? An analysis of intergenerational coresidence in South Korea, 1980–2015," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 45(1), pages 1-16.
    4. Michael Murphy & Duolao Wang, 2001. "Family-Level Continuities in Childbearing in Low-Fertility Societies," European Journal of Population, Springer;European Association for Population Studies, vol. 17(1), pages 75-96, March.
    5. Hal Caswell, 2024. "The formal demography of kinship VI: Demographic stochasticity and variance in the kinship network," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 51(39), pages 1201-1256.
    6. Hal Caswell, 2023. "The contributions of stochastic demography and social inequality to lifespan variability," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 49(13), pages 309-354.
    7. Marta Pittavino & Bruno Arpino & Elena Pirani, 2024. "Kinlessness at older ages: Prevalence and heterogeneity in 27 countries," Econometrics Working Papers Archive 2024_02, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
    8. van Daalen, Silke & Caswell, Hal, 2020. "Variance as a life history outcome: Sensitivity analysis of the contributions of stochasticity and heterogeneity," Ecological Modelling, Elsevier, vol. 417(C).
    9. Feehan, Dennis & Wrigley-Field, Elizabeth, 2020. "How do populations aggregate?," SocArXiv 2fkw3, Center for Open Science.
    10. David Lam, 2011. "How the World Survived the Population Bomb: Lessons From 50 Years of Extraordinary Demographic History," Demography, Springer;Population Association of America (PAA), vol. 48(4), pages 1231-1262, November.
    11. Shuang Chen, 2020. "Parental Investment After the Birth of a Sibling: The Effect of Family Size in Low-Fertility China," Demography, Springer;Population Association of America (PAA), vol. 57(6), pages 2085-2111, December.
    12. Masa, Rainier & Khan, Zoheb & Chowa, Gina, 2020. "Youth food insecurity in Ghana and South Africa: Prevalence, socioeconomic correlates, and moderation effect of gender," Children and Youth Services Review, Elsevier, vol. 116(C).
    13. Pilar Zueras & Roberta Rutigliano & Sergi Trias-Llimós, 0. "Marital status, living arrangements, and mortality in middle and older age in Europe," International Journal of Public Health, Springer;Swiss School of Public Health (SSPH+), vol. 0, pages 1-10.
    14. Diego Alburez-Gutierrez, 2021. "The demographic drivers of grief and memory after genocide in Guatemala," MPIDR Working Papers WP-2021-003, Max Planck Institute for Demographic Research, Rostock, Germany.
    15. Nieto, Adrián, 2021. "Native-immigrant differences in the effect of children on the gender pay gap," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 654-680.
    16. Nieto, Adrián, 2022. "Can subsidies to permanent employment change fertility decisions?," Labour Economics, Elsevier, vol. 78(C).
    17. Harkness, Susan, 2022. "The accumulation of disadvantage: how motherhood and relationship breakdown influence married and single mothers’ economic outcomes," ISER Working Paper Series 2022-03, Institute for Social and Economic Research.
    18. Golsteyn, Bart H.H. & Magnée, Cécile A.J., 2020. "Does sibling gender affect personality traits?," Economics of Education Review, Elsevier, vol. 77(C).
    19. Barschkett, Mara & Spieß, C. Katharina & Ziege, Elena, 2021. "Does Grandparenting Pay off for the Next Generations? Intergenerational Effects of Grandparental Care," IZA Discussion Papers 14795, Institute of Labor Economics (IZA).
    20. Schone, Pal & Strom, Marte, 2019. "International Labor Market Competition and Spousal Labor Supply Responses," IZA Discussion Papers 12857, Institute of Labor Economics (IZA).

    More about this item

    Keywords

    kinship; multistate models; parity; Slovakia; matrix models; vec-permutation matrices; sibship;
    All these keywords.

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:dem:demres:v:42:y:2020:i:38. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Editorial Office (email available below). General contact details of provider: https://www.demogr.mpg.de/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.