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A recent study in the 2017 Living to 100 Monograph published by the Society of Actuaries suggests, in contrast to previous research, that the risk of death after 110 increases with age. By fitting a Gompertz model to estimated central death…

Populations and Evolution · Quantitative Biology 2018-12-06 Francisco Villavicencio , José Manuel Aburto

We present a model for biological aging that considers the number of individuals whose (inherited) genetic charge determines the maximum age for death: each individual may die before that age due to some external factor, but never after…

adap-org · Physics 2008-02-03 R. M. C. de Almeida , S. Moss de Oliveira , T. J. P. Penna

Understanding why we age is a long-lived open problem in evolutionary biology. Aging is prejudicial to the individual and evolutionary forces should prevent it, but many species show signs of senescence as individuals age. Here, I will…

Populations and Evolution · Quantitative Biology 2012-01-24 André C. R. Martins

Since 1990 Jeanne Louise Calment has held the record for human longevity. She was born on 21 February 1875, became the longest-lived human on 12 May 1990 when she was 115.21 and died on 4 August 1997 at age 122.45 years. In this chapter, we…

Populations and Evolution · Quantitative Biology 2018-09-12 Adam Lenart , José Manuel Aburto , Anders Stockmarr , James W. Vaupel

The chronological age used in demography describes the linear evolution of the life of a living being. The chronological age cannot give precise information about the exact developmental stage or aging processes an organism has reached. On…

Analysis of PDEs · Mathematics 2023-10-02 Jacques Demongeot , Pierre Magal

In many developed countries, human life expectancy has doubled over the last 180 years from ~40 to ~80 years. Underlying this great advance is a change in how we age, yet our understanding of this change remains limited. Here we present a…

Quantitative Methods · Quantitative Biology 2018-03-28 J. A. Barthold Jones , U. W. Nash , J. Vieillefont , K. Christensen , D. Misevic , U. K. Steiner

Predicting an individual's aging trajectory is a central challenge in preventative medicine and bioinformatics. While machine learning models can predict chronological age from biomarkers, they often fail to capture the dynamic,…

Machine Learning · Computer Science 2025-08-14 Nazira Dunbayeva , Yulong Li , Yutong Xie , Imran Razzak

We have simulated demographic changes in the human population using the Penna microscopic model, based on the simple Monte Carlo method. The results of simulations have shown that during a few generations changes in the genetic pool of a…

Statistical Mechanics · Physics 2007-05-23 A. Laszkiewicz , Sz. Szymczak , S. Cebrat

Biological aging is characterized by an age-dependent increase in the probability of death and by a decrease in the reproductive capacity. Individual age-dependent rates of survival and reproduction have a strong impact on population…

Populations and Evolution · Quantitative Biology 2016-02-03 Arian Šajina , Dario Riccardo Valenzano

Application of some basic notions and statistics of ageing distributions used in mathematical theory of reliability including the Gini-type index is discussed as a methodological tool for investigation of human population ageing and…

Applications · Statistics 2014-08-13 Mark. P. Kaminskiy

Analysing age-specific mortality, fertility, and migration patterns is a crucial task in demography with significant policy relevance. In practice, such analysis is challenging when studying a large number of subpopulations, due to small…

Applications · Statistics 2025-05-29 Gregor Zens

Gompertz's law tells us that for humans above the age of 35 the death rate increases exponentially with a doubling time of about 10 years. Here, we show that the same law continues to hold even for ages over 100. Beyond 106 there is so far…

Physics and Society · Physics 2016-02-17 Peter Richmond , Bertrand M. Roehner

In this paper, we affirm our earlier findings of evidence for a limit to human lifespan. In particular, we assess the analyses in extreme value theory (EVT) performed by Rootz\'en and Zholud. We find that their criticisms of our work are…

Applications · Statistics 2018-06-18 Brandon Milholland , Xiao Dong , Jan Vijg

Lacking lifetime income data, most intergenerational mobility estimates are subject to lifecycle bias. Using long income series from Sweden and the US, we illustrate that standard correction methods struggle to account for one important…

General Economics · Economics 2025-12-18 Ursula Mello , Martin Nybom , Jan Stuhler

A robust multilevel functional data method is proposed to forecast age-specific mortality rate and life expectancy for two or more populations in developed countries with high-quality vital registration systems. It uses a robust multilevel…

Applications · Statistics 2016-09-27 Han Lin Shang

Consider the following statement: $B(t, \Delta t)$: a $t$ years old person NN will survive another $\Delta t$ years, where $t, \Delta t\in \mathbb{R}$ are nonnegative real numbers. We know only that NN is $t$ years old and nothing about the…

Probability · Mathematics 2022-05-03 Vladimir Gurvich , Mariya Naumova

How self-organized networks develop, mature and degenerate is a key question for sociotechnical, cyberphysical and biological systems with potential applications from tackling violent extremism through to neurological diseases. So far, it…

Physics and Society · Physics 2017-06-05 M. Zheng , Z. Cao , Y. Vorobyeva , P. Manrique , C. Song , N. F. Johnson

A multilevel functional data method is adapted for forecasting age-specific mortality for two or more populations in developed countries with high-quality vital registration systems. It uses multilevel functional principal component…

Applications · Statistics 2016-09-30 Han Lin Shang

We consider random walks amongst random conductances in the cases where the conductances can be arbitrarily small, with a heavy-tailed distribution at 0, and where the conductances may or may not have a heavy-tailed distribution at…

Probability · Mathematics 2024-02-19 David A. Croydon , Daniel Kious , Carlo Scali

Will the United Kingdom's ageing population be fit and independent, or suffer from greater chronic ill health? Healthy life expectancy is commonly used to assess this: it is an estimate of how many years are lived in good health over the…

Statistics Theory · Mathematics 2007-06-13 Ehsan Khoman , Martin Weale