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Separating the Signal From the Noise: Evidence for Deceleration in Old-Age Death Rates

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  • Dennis M. Feehan

    (University of California)

Abstract

Widespread population aging has made it critical to understand death rates at old ages. However, studying mortality at old ages is challenging because the data are sparse: numbers of survivors and deaths get smaller and smaller with age. I show how to address this challenge by using principled model selection techniques to empirically evaluate theoretical mortality models. I test nine models of old-age death rates by fitting them to 360 high-quality data sets on cohort mortality after age 80. Models that allow for the possibility of decelerating death rates tend to fit better than models that assume exponentially increasing death rates. No single model is capable of universally explaining observed old-age mortality patterns, but the log-quadratic model most consistently predicts well. Patterns of model fit differ by country and sex. I discuss possible mechanisms, including sample size, period effects, and regional or cultural factors that may be important keys to understanding patterns of old-age mortality. I introduce mortfit, a freely available R package that enables researchers to extend the analysis to other models, age ranges, and data sources.

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  • Dennis M. Feehan, 2018. "Separating the Signal From the Noise: Evidence for Deceleration in Old-Age Death Rates," Demography, Springer;Population Association of America (PAA), vol. 55(6), pages 2025-2044, December.
    • Handle: RePEc:spr:demogr:v:55:y:2018:i:6:d:10.1007_s13524-018-0728-x
    DOI: 10.1007/s13524-018-0728-x
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    1. Scott Lynch & J. Brown, 2001. "Reconsidering mortality compression and deceleration: an alternative model of mortality rates," Demography, Springer;Population Association of America (PAA), vol. 38(1), pages 79-95, February.
    2. Li, J.S.H. & Ng, A.C.Y. & Chan, W.S., 2011. "Modeling old-age mortality risk for the populations of Australia and New Zealand: An extreme value approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(7), pages 1325-1333.
    3. Kenneth Manton & Eric Stallard & James Vaupel, 1981. "Methods For Comparing The Mortality Experience of Heterogeneous Populations," Demography, Springer;Population Association of America (PAA), vol. 18(3), pages 389-410, August.
    4. Dmitri A. Jdanov & Domantas Jasilionis & Eugeny L. Soroko & Roland Rau & James W. Vaupel, 2008. "Beyond the Kannisto-Thatcher Database on Old Age Mortality: an assessment of data quality at advanced ages," MPIDR Working Papers WP-2008-013, Max Planck Institute for Demographic Research, Rostock, Germany.
    5. Eytan Sheshinski, 2007. "Introduction to The Economic Theory of Annuities," Introductory Chapters, in: The Economic Theory of Annuities, Princeton University Press.
    6. L. Daniel Staetsky, 2009. "Diverging trends in female old-age mortality: A reappraisal," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 21(30), pages 885-914.
    7. Roland Rau & Eugeny Soroko & Domantas Jasilionis & James W. Vaupel, 2008. "Continued Reductions in Mortality at Advanced Ages," Population and Development Review, The Population Council, Inc., vol. 34(4), pages 747-768, December.
    8. John Bongaarts, 2005. "Long-range trends in adult mortality: Models and projection methods," Demography, Springer;Population Association of America (PAA), vol. 42(1), pages 23-49, February.
    9. Leonid Gavrilov & Natalia Gavrilova, 2011. "Mortality Measurement at Advanced Ages," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(3), pages 432-447.
    10. David Steinsaltz & Kenneth Wachter, 2006. "Understanding Mortality Rate Deceleration and Heterogeneity," Mathematical Population Studies, Taylor & Francis Journals, vol. 13(1), pages 19-37.
    11. Claeskens,Gerda & Hjort,Nils Lid, 2008. "Model Selection and Model Averaging," Cambridge Books, Cambridge University Press, number 9780521852258.
    12. Arjan Gjonca & Hilke Brockmann & Heiner Maier, 2000. "Old-Age Mortality in Germany prior to and after Reunification," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 3(1).
    13. France Meslé & Jacques Vallin, 2006. "Diverging Trends in Female Old‐Age Mortality: The United States and the Netherlands versus France and Japan," Population and Development Review, The Population Council, Inc., vol. 32(1), pages 123-145, March.
    14. Adam Lenart & James W. Vaupel, 2017. "Questionable evidence for a limit to human lifespan," Nature, Nature, vol. 546(7660), pages 13-14, June.
    15. Eytan Sheshinski, 2007. "The Economic Theory of Annuities," Economics Books, Princeton University Press, edition 1, volume 1, number 8536.
    16. Yi Zeng & James W. Vaupel, 2003. "Oldest Old Mortality in China," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 8(7), pages 215-244.
    17. Shiro Horiuchi & John Wilmoth, 1998. "Deceleration in the age pattern of mortality at olderages," Demography, Springer;Population Association of America (PAA), vol. 35(4), pages 391-412, November.
    18. 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.
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    2. Marie Böhnstedt & Jutta Gampe & Hein Putter, 2021. "Information measures and design issues in the study of mortality deceleration: findings for the gamma-Gompertz model," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 27(3), pages 333-356, July.
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