Cited by 42Insurance, Mortality, Demography, Risk ManagementGenetics, Aging, and Longevity in Model OrganismsEvolution and Genetic Dynamics

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index; none of the 9 sources its claims cite is checked for support yet.

Comment on “The plateau of human mortality: Demography of longevity pioneers”

Open access
Beltrán-Sánchez, H., Austad, S. N., Finch, C. E.·2018·Science

Abstract

Barbi et al . (Reports, 29 June 2018, p. 1459) reported that human mortality rate reached a “plateau” after the age of 105, suggesting there may be no limit to human longevity. We show, using their data, that potential lifespans cannot increase much beyond the current 122 years unless future biomedical advances alter the intrinsic rate of human aging.

Overview

AI snapshot

Written from the paper’s full text.

TL;DR

Reanalyzing Barbi et al.'s Italian mortality-plateau data, the authors calculate maximum survival ages under two models and conclude that human lifespans cannot increase much beyond the current 122-year record without major biomedical advances. They argue the plateau does not imply unlimited longevity potential.

Key findings

  • From an annual mortality rate of 0.475 at the plateau, life expectancy at age 105 is 1.5 years.
  • Under a "radioactive decay" model starting at the plateau mortality level for age 105, Tmax for Italy would be at least 2 years below Jeanne Calment's 122-year record even for a cohort of 10,000 at age 105; the effect of increasing cohort size N on Tmax is attenuated logarithmically (ln N).
  • A 50:50 chance of someone reaching 150 years given this plateau would require more than 4 trillion 105-year-olds, about 450 times the current world population of 7.5 billion.
  • Gompertz-model calculations (Table 1) give Tmax of 113.9 years for 463 males and 116.9 years for 3,373 females in the 1904 birth cohort, with greater potential Tmax for women by 7 years; since Calment's 1997 death the number of people reaching 110 has doubled, yet no subsequent lifespan has exceeded 120 years (the longest-lived Italian, Emma Morano, died at 117.3 years in 2017).

Methods

  • Comment/reanalysis using the birth and death records and mortality plateau reported by Barbi et al. for Italy.
  • Two models were applied: a "radioactive decay" model assuming exponential decline of survival at a fixed mortality rate (N/P = exp(−mt), with N set at 1 for the age of the last survivor), and the Gompertz model as calculated in Barbi et al. (m(x) = a × exp(bx) × exp(β1C + β2M)).
  • Each model begins with the 463 males and 3,373 females in the Barbi et al. 1904 birth cohort, and Table 1 projects Tmax for varying initial population sizes P by gender.

Limitations

  • The authors share Barbi et al.'s caveat that mortality rates after age 105 have uncertainties in many populations.
  • The authors note Barbi et al. state the Gompertz model does not hold after age 80, but counter that >95% of adult mortality in the Italian cohorts is described by the Gompertz model, which would concentrate the mortality plateau to <5% of the Italian mortality regime.
  • Evident from the text: this is a comment based on reanalysis of previously published data rather than new data collection, and the projections are model-dependent extrapolations.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.1126/science.aav1200

Cites

3 of 3 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Verification

Claims the paper makes

0 of 9 cited sources checked · 0 supported · 0 flagged

  • Findingreasoning

    Starting at the plateau level of mortality for age 105 in Barbi et al., the Tmax for a constant rate of annual mortality at age 105 for Italy would be at least 2 years below the record 122-year Tmax of Jeanne Calment, even for a cohort size of 10,000 at age 105.

    “Thus, the T max for a constant rate of annual mortality at age 105 for Italy would be at least 2 years below the record 122-year T max of Jeanne Calment, even for a cohort size of 10,000 at age 105.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: The radioactive decay model assumes exponential decline of survival at a fixed mortality rate.
    • Rests on an assumption: The record human lifespan is 122 years (Jeanne Calment).
  • Findingcitation

    To attain a 50:50 chance of someone reaching 150 years of age given this plateau would take more than 4 trillion 105-year-olds, about 450 times the current world population of 7.5 billion.

    “To attain a 50:50 chance of someone reaching 150 years of age given this plateau would take more than 4 trillion 105-year-olds, about 450 times the current world population of 7.5 billion (3).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [3]

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • The authors state this as an assumption: The radioactive decay model assumes exponential decline of survival at a fixed mortality rate.
    • Rests on an assumption: The record human lifespan is 122 years (Jeanne Calment).
  • Findingreasoning

    Life expectancy at age 105 is 1.5 years, calculated from annual mortality rates of 0.475.

    “Calculating from annual mortality rates of 0.475, the life expectancy at age 105 is 1.5 years.”
    Quote in the paperSubstantial claim
  • Findingown data

    Further calculations based on the Gompertz model of Barbi et al. or on the basic Gompertz equation also show limits to Tmax that differ by gender for different numbers of initial survivors.

    “Further calculations based on the Gompertz model of Barbi et al. (lower part of Table 1) or on the basic Gompertz equation (4) also show limits to Tmax that differ by gender for different numbers of initial survivors.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [4]

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Findingown data

    Two very different models yield similar estimates of maximum survival age, Tmax.

    “Two very different models yield similar estimates of maximum survival age, Tmax.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: The radioactive decay model assumes exponential decline of survival at a fixed mortality rate.
  • It may state two separate claims as one. 1
  • Probably not a substantial claim. 1
  • It may state two separate claims as one.

    Findingcitation

    Our calculations of Tmax from Gompertz exponential mortality rates closely agree with reported records, with greater potential Tmax for women by 7 years.

    “Our calculations of Tmax from Gompertz exponential mortality rates closely agree with reported records, with greater potential T max for women by 7 years (4).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [4]

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • Rests on an assumption: The record human lifespan is 122 years (Jeanne Calment).
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Study design and conductcitation

    Mortality rates after age 105 have uncertainties in many populations.

    “We share the caveats of Barbi et al. that mortality rates after age 105 have uncertainties in many populations.”
    Quote in the paperNot a substantial claim
2 of 2
  • The authors state this as an assumption.

    The radioactive decay model assumes exponential decline of survival at a fixed mortality rate.

    “The simplest “radioactive decay” model assumes exponential decline of survival at a fixed mortality rate and calculates the age of the last survivor (2).”
  • The paper relies on this without support.

    No subsequent lifespan has exceeded 120 years.

    “Yet no subsequent lifespan has exceeded 120 years.”
  • The paper relies on this without support.

    The record human lifespan is 122 years (Jeanne Calment).

    “the record 122-year T max of Jeanne Calment”
3 of 3

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

Each contradiction between two passages listed here was confirmed by an independent check.

  • The stated population multiple does not exceed 4 trillion

    Minor

    450 times 7.5 billion is 3.375 trillion, not more than 4 trillion.

1 of 1

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 1

  1. N. S. Gavrilova L. A. Gavrilov V. N. Krut’ko in 2017 Living to 100 T. F. Harris Ed. (Society of Actuaries 2017) pp. 1–24.

Cited by

Sorted by citations

Metadata

Authors
Beltrán-Sánchez, H., Austad, S. N., & Finch, C. E.
Affiliations
  • Fielding School of Public Health, University of California, Los Angeles, CA, USA.
  • University of Alabama (US)
  • University of Southern California (US)
Corresponding author
Finch, C. E.
Venue
Science
Published
2018-09-28
Volume
361
Issue
6409
ISSN
  • 0036-8075 (ISSN-L)
  • 1095-9203
OpenAlex
W2893060869
Cited by
42
References
3
Citations by year
2026: 2 · 2025: 1 · 2024: 1 · 2023: 2 · 2022: 6 · 2021: 24 · 2020: 1 · 2019: 4 · 2018: 1
Type
journal article
Language
en
Open access
Locations
  • Science (publishedVersion)
  • PubMed (publishedVersion)
  • eScholarship (California Digital Library) (submittedVersion)
Topics
  • Social Sciences › Demography › Insurance, Mortality, Demography, Risk Management
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Aging › Genetics, Aging, and Longevity in Model Organisms
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
Keywords
human mortality, longevity, centenarians, mortality plateau, human aging
MeSH terms
Aging, Demography, Humans, Life Expectancy, Longevity, Mortality

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