PMID: 8844636Aug 29, 1996Paper

Use of the recursion formula of the Gompertz survival function to evaluate life-table data

Mechanisms of Ageing and Development
I D Bassukas

Abstract

The recursion formula of the Gompertz function is an established method for the analysis of growth processes. In the present study the recursion formula of the Gompertz survival function 1n S(t + s) = a + b x ln S(t) is introduced for the analysis of survival data, where S(t) is the survival fraction at age 1, s is the constant age increment between two consecutive measurements of the survival fraction and a and b are parameters. With the help of this method--and provided stroboscopial measurements of rates of survival are available--the Gompertz survival function, instead of the corresponding mortality function, can be determined directly using linear regression analysis. The application of the present algorithm is demonstrated by analysing two sets of data taken from the literature (survival of Drosophila imagoes and of female centenarians) using linear regression analysis to fit survival or mortality rates to the corresponding models. In both cases the quality of fit was superior by using the algorithm presently introduced. Moreover, survival functions calculated from the fits to the mortality law only poorly predict the survival data. On the contrary, the results of the present method not only fit to the measurements, but, ...Continue Reading

References

May 1, 1995·The Journals of Gerontology. Series A, Biological Sciences and Medical Sciences·T EakinM Witten
Dec 1, 1994·BioEssays : News and Reviews in Molecular, Cellular and Developmental Biology·D W Smith
Jan 1, 1993·Mechanisms of Ageing and Development·D L Wilson

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Citations

Jan 24, 2014·Journal of Environmental and Public Health·Ashish Joshi, Chioma Amadi

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