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The curse of the plateau. Measuring confidence in human mortality estimates at extreme ages

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  • Camarda, Carlo Giovanni

Abstract

In recent years, the importance of describing mortality at the limits of the life span has led to a number of relevant and controversial studies. Whereas considerable efforts have been devoted to collecting data and estimating models on the oldest-old individuals, the testing of statistical confidence about the conclusions of analyses at extreme ages has been largely neglected. How certain can we be in saying that the risk of dying increases, levels out, or, paradoxically, decreases over age 105? Can we recognize particular mortality age patterns at such high ages? In this paper, it is shown that very little can be confidently asserted about mortality at extreme ages. Instead of analyzing actual data, we perform a series of simulation studies mimicking actual scenarios from controlled mechanisms. Our findings are thus robust with respect to factors such as particular observation schemes, heterogeneity, and data quality issues. Given the sample sizes currently available and the levels of mortality experienced in present populations, we show that before age 110, only a Gompertzian increase of mortality may be detected. Afterwards a plateau will be regularly recognized as the most suitable pattern, regardless of the complexity of the true underlying mortality.

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  • Camarda, Carlo Giovanni, 2022. "The curse of the plateau. Measuring confidence in human mortality estimates at extreme ages," Theoretical Population Biology, Elsevier, vol. 144(C), pages 24-36.
    • Handle: RePEc:eee:thpobi:v:144:y:2022:i:c:p:24-36
    DOI: 10.1016/j.tpb.2022.01.002
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    1. Jesson J. Einmahl & John H. J. Einmahl & Laurens de Haan, 2019. "Limits to Human Life Span Through Extreme Value Theory," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 114(527), pages 1075-1080, July.
    2. Joop de Beer & Anastasios Bardoutsos & Fanny Janssen, 2017. "Maximum human lifespan may increase to 125 years," Nature, Nature, vol. 546(7660), pages 16-17, June.
    3. Jackson, Christopher, 2016. "flexsurv: A Platform for Parametric Survival Modeling in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 70(i08).
    4. Nicholas J. L. Brown & Casper J. Albers & Stuart J. Ritchie, 2017. "Contesting the evidence for limited human lifespan," Nature, Nature, vol. 546(7660), pages 6-7, June.
    5. Leonid Gavrilov & Natalia Gavrilova, 2011. "Mortality Measurement at Advanced Ages," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(3), pages 432-447.
    6. Michael Pearce & Adrian E. Raftery, 2021. "Probabilistic forecasting of maximum human lifespan by 2100 using Bayesian population projections," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 44(52), pages 1271-1294.
    7. Saul Justin Newman, 2018. "Errors as a primary cause of late-life mortality deceleration and plateaus," PLOS Biology, Public Library of Science, vol. 16(12), pages 1-12, December.
    8. Saul Justin Newman, 2018. "Plane inclinations: A critique of hypothesis and model choice in Barbi et al," PLOS Biology, Public Library of Science, vol. 16(12), pages 1-4, December.
    9. Maarten P. Rozing & Thomas B. L. Kirkwood & Rudi G. J. Westendorp, 2017. "Is there evidence for a limit to human lifespan?," Nature, Nature, vol. 546(7660), pages 11-12, June.
    10. Graziella Caselli & Marco Battaglini & Giorgia Capacci & Deborah Carr, 2020. "Beyond One Hundred: A Cohort Analysis of Italian Centenarians and Semisupercentenarians," The Journals of Gerontology: Series B, The Gerontological Society of America, vol. 75(3), pages 591-600.
    11. A. R. Thatcher, 1999. "The long‐term pattern of adult mortality and the highest attained age," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 162(1), pages 5-43.
    12. Adam Lenart & James W. Vaupel, 2017. "Questionable evidence for a limit to human lifespan," Nature, Nature, vol. 546(7660), pages 13-14, June.
    13. Bryan G. Hughes & Siegfried Hekimi, 2017. "Many possible maximum lifespan trajectories," Nature, Nature, vol. 546(7660), pages 8-9, June.
    14. 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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    1. Linh Hoang Khanh Dang & Carlo Giovanni Camarda & France Meslé & Nadine Ouellette & Jean-Marie Robine & Jacques Vallin, 2023. "The question of the human mortality plateau: Contrasting insights by longevity pioneers," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 48(11), pages 321-338.

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