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Biological Implications of the Weibull and Gompertz Models of Aging
Abstract
Gompertz and Weibull functions imply contrasting biological causes of demographic aging. The terms describing increasing mortality with age are multiplicative and additive, respectively, which could result from an increase in the vulnerability of individuals to extrinsic causes in the Gompertz model and the predominance of intrinsic causes at older ages in the Weibull model. Experiments that manipulate extrinsic mortality can distinguish these biological models. To facilitate analyses of experimental data, we defined a single index for the rate of aging (omega) for the Weibull and Gompertz functions. Each function described the increase in aging-related mortality in simulated ages at death reasonably well. However, in contrast to the Weibull omega(W), the Gompertz omega(G) was sensitive to variation in the initial mortality rate independently of aging-related mortality. Comparisons between wild and captive populations appear to support the intrinsic-causes model for birds, but give mixed support for both models in mammals.
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Most previous approaches to compare survival curves of different species have fit functional forms such as Gompertz or Weibull curves.
“Most previous approaches to compare survival curves of different species have fit functional forms such as Gompertz or Weibull curves15–18, but these functional forms have no mechanistic basis.”
From A damage accumulation model identifies distinct aging regimes across species (2026) · cites this paper as [17]
The functional forms such as Gompertz or Weibull curves used in previous comparisons of survival curves have no mechanistic basis.
“Most previous approaches to compare survival curves of different species have fit functional forms such as Gompertz or Weibull curves15–18, but these functional forms have no mechanistic basis.”
From A damage accumulation model identifies distinct aging regimes across species (2026) · cites this paper as [17]
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Longevity Among Hunter‐ Gatherers: A Cross‐Cultural Examination
Gurven, M., & Kaplan, H. (2007) · Population and Development Review · doi:10.1111/j.1728-4457.2007.00171.x · Cited by 670
A damage accumulation model identifies distinct aging regimes across species
Raz, N., Yang, Y., Pridham, G., Shenhar, B., Frenkel, S., Levy, T., Tlusty, T., Mayo, A., & Alon, U. (2026) · Nature Aging · doi:10.1038/s43587-026-01138-7 · Cited by 7
Metadata
- Authors
- Ricklefs, R. E., & Scheuerlein, A.
- Venue
- The Journals of Gerontology Series A: Biological Sciences and Medical Sciences
- Publisher
- Oxford University Press (OUP)
- Published
- 2002-02-01
- Volume
- 57
- Issue
- 2
- Pages
- B69-B76
- ISSN
- 1079-5006
- 1758-535X
- Cited by
- 125
- References
- 0
- Language
- en
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