IDEAS home Printed from https://ideas.repec.org/a/spr/demogr/v54y2017i2d10.1007_s13524-017-0548-4.html
   My bibliography  Save this article

Discrete Barker Frailty and Warped Mortality Dynamics at Older Ages

Author

Listed:
  • Alberto Palloni

    (University of Wisconsin–Madison)

  • Hiram Beltrán-Sánchez

    (University of California–Los Angeles)

Abstract

We develop a discrete variant of a general model for adult mortality influenced by the delayed impact of early conditions on adult health and mortality. The discrete variant of the model builds on an intuitively appealing interpretation of conditions that induce delayed effects and is an extension of the discrete form of the standard frailty model with distinct implications. We show that introducing delayed effects is equivalent to perturbing adult mortality patterns with a particular class of time-/age-varying frailty. We emphasize two main results. First, populations with delayed effects could experience unchanging or increasing adult mortality even when background mortality has been declining for long periods of time. Although this phenomenon also occurs in a regime with standard frailty, the distortions can be more severe under a regime with Barker frailty. As a consequence, conventional interpretations of the observed rates of adult mortality decline in societies that experience Barker frailty may be inappropriate. Second, the observed rate of senescence (slope of adult mortality rates) in populations with delayed effects could increase, decrease, or remain steady over time and across adult ages even though the rate of senescence of the background age pattern of mortality is time- and age-invariant. This second result implies that standard interpretations of empirical estimates of the slope of adult mortality rates in populations with delayed effects may be misleading because they can reflect mechanisms other than those inducing senescence as conventionally understood in the literature.

Suggested Citation

  • Alberto Palloni & Hiram Beltrán-Sánchez, 2017. "Discrete Barker Frailty and Warped Mortality Dynamics at Older Ages," Demography, Springer;Population Association of America (PAA), vol. 54(2), pages 655-671, April.
  • Handle: RePEc:spr:demogr:v:54:y:2017:i:2:d:10.1007_s13524-017-0548-4
    DOI: 10.1007/s13524-017-0548-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13524-017-0548-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s13524-017-0548-4?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. James Vaupel & Anatoli Yashin, 1987. "Repeated resuscitation: How lifesaving alters life tables," Demography, Springer;Population Association of America (PAA), vol. 24(1), pages 123-135, February.
    2. Alberto Palloni & Laeticia Souza, 2013. "The fragility of the future and the tug of the past," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 29(21), pages 543-578.
    3. James W. Vaupel & Trifon Missov, 2014. "Unobserved population heterogeneity," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 31(22), pages 659-686.
    4. David Steinsaltz & Kenneth Wachter, 2006. "Understanding Mortality Rate Deceleration and Heterogeneity," Mathematical Population Studies, Taylor & Francis Journals, vol. 13(1), pages 19-37.
    5. Petter Lundborg, 0000. "The Health Returns to Education - What can we learn from Twins?," Tinbergen Institute Discussion Papers 08-027/3, Tinbergen Institute.
    6. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
    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. Andrea Verhulst & Hiram Beltrán-Sánchez & Alberto Palloni, 2019. "Impact of delayed effects on human old-age mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 40(41), pages 1167-1210.
    2. Nobles, Jenna & Hamoudi, Amar, 2019. "Detecting the Effects of Early-Life Exposures: Why Fecundity Matters," SocArXiv x4zm6, Center for Open Science.
    3. Jenna Nobles & Amar Hamoudi, 2019. "Detecting the Effects of Early-Life Exposures: Why Fecundity Matters," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 38(6), pages 783-809, December.

    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. 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.
    2. Hui Zheng, 2020. "Unobserved population heterogeneity and dynamics of health disparities," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 43(34), pages 1009-1048.
    3. Feehan, Dennis & Wrigley-Field, Elizabeth, 2020. "How do populations aggregate?," SocArXiv 2fkw3, Center for Open Science.
    4. Annamaria Olivieri & Ermanno Pitacco, 2016. "Frailty and Risk Classification for Life Annuity Portfolios," Risks, MDPI, vol. 4(4), pages 1-23, October.
    5. Anders Ledberg, 2020. "Exponential increase in mortality with age is a generic property of a simple model system of damage accumulation and death," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-17, June.
    6. Andrea Verhulst & Hiram Beltrán-Sánchez & Alberto Palloni, 2019. "Impact of delayed effects on human old-age mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 40(41), pages 1167-1210.
    7. MARK BEBBINGTON & CHIN-DIEW LAI & RIcARDAS ZITIKIS, 2011. "Modelling Deceleration in Senescent Mortality," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(1), pages 18-37.
    8. Elizabeth Wrigley-Field, 2020. "Multidimensional Mortality Selection: Why Individual Dimensions of Frailty Don’t Act Like Frailty," Demography, Springer;Population Association of America (PAA), vol. 57(2), pages 747-777, April.
    9. Maxim S. Finkelstein, 2009. "Understanding the shape of the mixture failure rate (with engineering and demographic applications)," MPIDR Working Papers WP-2009-031, Max Planck Institute for Demographic Research, Rostock, Germany.
    10. Maxim S. Finkelstein, 2011. "On ordered subpopulations and population mortality at advanced ages," MPIDR Working Papers WP-2011-022, Max Planck Institute for Demographic Research, Rostock, Germany.
    11. Elizabeth Wrigley-Field, 2014. "Mortality Deceleration and Mortality Selection: Three Unexpected Implications of a Simple Model," Demography, Springer;Population Association of America (PAA), vol. 51(1), pages 51-71, February.
    12. Li, Ting & Anderson, James J., 2009. "The vitality model: A way to understand population survival and demographic heterogeneity," Theoretical Population Biology, Elsevier, vol. 76(2), pages 118-131.
    13. Finkelstein, Maxim, 2012. "On ordered subpopulations and population mortality at advanced ages," Theoretical Population Biology, Elsevier, vol. 81(4), pages 292-299.
    14. Alberto Palloni & Laeticia Souza, 2013. "The fragility of the future and the tug of the past," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 29(21), pages 543-578.
    15. Missov, Trifon I. & Finkelstein, Maxim, 2011. "Admissible mixing distributions for a general class of mixture survival models with known asymptotics," Theoretical Population Biology, Elsevier, vol. 80(1), pages 64-70.
    16. Giambattista Salinari & Gustavo De Santis, 2020. "One or more rates of ageing? The extended gamma-Gompertz model (EGG)," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(2), pages 211-236, June.
    17. Finkelstein, Maxim, 2007. "Imperfect repair and lifesaving in heterogeneous populations," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1671-1676.
    18. Finkelstein, Maxim, 2013. "Lifesaving, delayed deaths and cure in mortality modeling," Theoretical Population Biology, Elsevier, vol. 83(C), pages 15-19.
    19. Cha, Ji Hwan & Finkelstein, Maxim, 2016. "Justifying the Gompertz curve of mortality via the generalized Polya process of shocks," Theoretical Population Biology, Elsevier, vol. 109(C), pages 54-62.
    20. James W. Vaupel, 2005. "Lifesaving, lifetimes and lifetables," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 13(24), pages 597-614.

    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:spr:demogr:v:54:y:2017:i:2:d:10.1007_s13524-017-0548-4. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.