Human mortality at extreme age

Author:

Belzile Léo R.1ORCID,Davison Anthony C.2ORCID,Rootzén Holger3ORCID,Zholud Dmitrii3ORCID

Affiliation:

1. Department of Decision Sciences, HEC Montréal, 3000, chemin de la Côte-Sainte-Catherine, Montréal, Quebec, Canada H3T 2A7

2. Institute of Mathematics, École polytechnique fédérale de Lausanne, Station 8, Lausanne 1015, Switzerland

3. Department of Mathematical Sciences, Chalmers and Gothenburg University, Chalmers Tvärgata 3, Göteborg 41296, Sweden

Abstract

We use a combination of extreme value statistics, survival analysis and computer-intensive methods to analyse the mortality of Italian and French semi-supercentenarians. After accounting for the effects of the sampling frame, extreme-value modelling leads to the conclusion that constant force of mortality beyond 108 years describes the data well and there is no evidence of differences between countries and cohorts. These findings are consistent with use of a Gompertz model and with previous analysis of the International Database on Longevity and suggest that any physical upper bound for the human lifespan is so large that it is unlikely to be approached. Power calculations make it implausible that there is an upper bound below 130 years. There is no evidence of differences in survival between women and men after age 108 in the Italian data and the International Database on Longevity, but survival is lower for men in the French data.

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

The Royal Society

Subject

Multidisciplinary

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