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The existence of an upper limit to the human lifespan has been widely debated, with studies offering both supporting and opposing evidence. Using unique individual-level death and population records for individuals aged 90 and older in…

Applications · Statistics 2026-04-10 Jens Robben , Torsten Kleinow

Does the human lifespan have an impenetrable biological upper limit which ultimately will stop further increase in life lengths? This question is important for understanding aging, and for society, and has led to intense controversies.…

Applications · Statistics 2017-08-08 Holger Rootzén , Dmitrii Zholud

There is sustained and widespread interest in understanding the limit, if any, to the human lifespan. Apart from its intrinsic and biological interest, changes in survival in old age have implications for the sustainability of social…

Applications · Statistics 2021-04-19 Léo R. Belzile , Anthony C. Davison , Jutta Gampe , Holger Rootzén , Dmitrii Zholud

Recent discoveries show steady improvements in life expectancy during modern decades. Does this support that humans continue to live longer in future? We recently put forward the maximum survival tendency, as found in survival curves of…

Populations and Evolution · Quantitative Biology 2009-08-28 Byung Mook Weon , Jung Ho Je

Are there limits to human longevity? We suggest a new demographic model to describe human demographic trajectories. Specifically, the model mathematically defines the limits of longevity. Through the demographic analysis of trends for…

Populations and Evolution · Quantitative Biology 2007-05-23 Byung Mook Weon

Growth in the global human population this century will have momentous consequences for societies and the environment. Population growth has come with higher aggregate human welfare, but also climate change and biodiversity loss. Based on…

General Economics · Economics 2021-09-30 Barry W. Brook , Jessie C. Buettel , Sanghyun Hong

The unprecedented extension of the human lifespan necessitates a parallel evolution in how we quantify the quality of aging and its socioeconomic impact. Traditional metrics focusing on Healthspan (years free of disease) overlook the…

Quantitative Methods · Quantitative Biology 2026-03-19 Alex Zhavoronkov , Dominika Wilczok

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

Ignoring the differences between countries, human reproductive and dispersal behaviors can be described by some standardized models, so whether there is a universal law of population growth hidden in the abundant and unstructured data from…

Physics and Society · Physics 2024-02-08 Jiajun Ma , Qinghua Chen , Xiaosong Chen , Jingfang Fan , Xiaomeng Li , Yi Shi

Aging is thought to be a consequence of intrinsic breakdowns in how genetic information is processed. But mounting experimental evidence suggests that aging can be slowed. To help resolve this mystery, I derive a mortality equation which…

Populations and Evolution · Quantitative Biology 2022-09-01 Thomas Fink

Human aging is marked by a steady rise in the risk of dying with age-a process demographers call senescence. Over the past century, life expectancy has risen dramatically, but is this because we are aging slower, or simply starting it…

Applications · Statistics 2026-04-13 Silvio Cabral Patricio

Economic growth is unpredictable unless demand is quantified. We solve this problem by introducing the demand for unpaid spare time and a user quantity named human capacity. It organizes and amplifies spare time required for enjoying…

General Finance · Quantitative Finance 2012-06-13 Hans G. Danielmeyer , Thomas Martinetz

The development of sport performances in the future is a subject of myth and disagreement among experts. As arguments favoring and opposing such methodology were discussed, other publications empirically showed that the past development of…

Other Statistics · Statistics 2014-01-30 Geoffroy Berthelot

We analyze mathematical models of the global human population growth and compare them to actual dynamics of the world population and of the world surplus product. We consider a possibility that the so-called world's demographic transition…

Physics and Society · Physics 2009-11-23 Michael Golosovsky

The issue of longevity has been long time recognized as one of key concepts in demography. A particular aspect of longevity addressed in this paper is the difference in average observed duration of life for female and male population,…

Physics and Society · Physics 2019-05-09 Toni Cosic , Roko Misetic , Hrvoje Stefancic

Growth rate of the world Growth Domestic Product (GDP) is analysed to determine possible pathways of the future economic growth. The analysis is based on using the latest data of the World Bank and it reveals that the growth rate between…

General Finance · Quantitative Finance 2015-11-03 Ron W Nielsen

Concerns about declining or ageing populations often centre on the fear that fewer people will translate to a weaker economy and lower living standards. But these fears are frequently based on oversimplified or misapplied interpretations of…

General Economics · Economics 2025-08-26 Corey J. A. Bradshaw , Shana M. McDermott

Most models that try to explain economic growth indicate exponential growth paths. In recent years, however, a lively discussion has emerged considering the validity of this notion. In the empirical literature dealing with drivers of…

Economics · Quantitative Finance 2018-03-06 Steffen Lange , Peter Pütz , Thomas Kopp

This article is a presentation of specific recent results describing scaling limits of individual-based models. Thanks to them, we wish to relate the time-scales typical of demographic dynamics and natural selection to the parameters of the…

Probability · Mathematics 2023-08-01 Aurélien Velleret

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
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