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Data describing the growth of the world population in the past 12,000 years are analysed. It is shown that, if unchecked, population does not increase exponentially but hyperbolically. This analysis reveals three approximately-determined…

Populations and Evolution · Quantitative Biology 2016-01-21 Ron W. Nielsen

We present, solve and numerically simulate a simple model that describes the consequences of increased longevity on fertility rates, population growth and the distribution of wealth in developed societies. We look at the consequences of the…

General Finance · Quantitative Finance 2011-08-08 Aleksandar Bogojevic , Antun Balaz , Rasa Karapandza

Well protected human and laboratory animal populations with abundant resources are evolutionary unprecedented. Physical approach, which takes advantage of their extensively quantified mortality, establishes that its dominant fraction yields…

Quantitative Methods · Quantitative Biology 2007-05-23 Mark Ya. Azbel'

Contrary to common belief, both the Earth's human population and its economic output have grown faster than exponential, i.e., in a super-Malthusian mode, for most of the known history. These growth rates are compatible with a spontaneous…

Condensed Matter · Physics 2009-10-31 Anders Johansen , Didier Sornette

We solve a lifecycle model in which the consumer's chronological age does not move in lockstep with calendar time. Instead, biological age increases at a stochastic non-linear rate in time like a broken clock that might occasionally move…

Mathematical Finance · Quantitative Finance 2018-11-27 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

For those concerned with the long-term value of their accounts, it can be a challenge to plan in the present for inflation-adjusted economic growth over coming decades. Here, I argue that there exists an economic constant that carries…

General Finance · Quantitative Finance 2012-11-14 Timothy J. Garrett

Ecologists have long argued about the strength of density dependence and population regulation, respectively defined as the short-term and long-term rates of return to equilibrium. Here, I give three arguments for the intractability of…

Populations and Evolution · Quantitative Biology 2024-12-24 Evan C. Johnson

Author's early work on aging is developed to yield a relationship between life spans and the velocity of aging. The mathematical analysis shows that the mean extent of the advancement of aging throughout one's life is conserved, or…

Populations and Evolution · Quantitative Biology 2007-05-23 Kazumi Suematsu

Growth of the world population and the world economic growth were hyperbolic in the past 2,000,000 years. Recently, from around 1950, they started to be diverted to slower trajectories but they are still close to the historical hyperbolic…

Physics and Society · Physics 2017-10-24 Ron W. Nielsen

At the physiological level, aging is neither rigid nor unchangeable. Instead, the molecular and mechanisms driving aging are sufficiently plastic that a variety of diverse interventions--dietary, pharmaceutical, and genetic--have been…

Quantitative Methods · Quantitative Biology 2018-08-28 Nicholas Stroustrup

We use a combination of extreme value theory, survival analysis and computer-intensive methods to analyze the mortality of Italian and French semi-supercentenarians for whom there are validated records. After accounting for the effects of…

Applications · Statistics 2021-10-01 Léo R. Belzile , Anthony C. Davison , Holger Rootzén , Dmitrii Zholud

A fundamental question in aging research concerns the demographic trajectories at the highest ages, especially for supercentenarians (persons aged 110 or more). We wish to demonstrate that the Weon model enables scientists to describe the…

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

Motivated by the wide range of known self-replicating systems, some far from genetics, we study a system composed by individuals having an internal dynamics with many possible states that are partially stable, with varying mutation rates.…

Biological Physics · Physics 2015-10-07 Tommaso Brotto , Guy Bunin , Jorge Kurchan

The influence of per capita income on life expectancy is well documented, mostly through studies of multinational samples. However, one expects fairly weak correlations at both ends of the life span, that is to say in early infancy and in…

Physics and Society · Physics 2021-09-22 Peter Richmond , Wonguk Cho , Beom Jun Kim , Bertrand M. Roehner

Mortality is an instrument of natural selection. Evolutionary motivated theories imply its irreversibility and life history dependence. This is inconsistent with mortality data for protected populations. Accurate analysis yields mortality…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Mark Ya. Azbel'

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

We study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is favored, the average fitness of the population grows…

Statistical Mechanics · Physics 2009-10-31 W. Hwang , P. L. Krapivsky , S. Redner

Aggregated health data such as claims data from health insurances become more and more available for research purposes. Estimates of excess mortality from prevalence and incidence of a chronic condition have only been possible for ages 50…

Populations and Evolution · Quantitative Biology 2019-08-13 Ralph Brinks

Is a causal description of human wealth history conceivable? To investigate the matter we introduce a simple causal albeit strongly aggregated model, assuming that the observed wealth growth is mainly driven by human collaborative efforts…

Adaptation and Self-Organizing Systems · Physics 2021-07-23 Paolo Sibani , Steen Rasmussen

In the past six decades, lifespan inequality has varied greatly within and among countries even while life expectancy has continued to increase. How and why does mortality change generate this diversity? We derive a precise link between…

Populations and Evolution · Quantitative Biology 2013-11-22 Duncan O. S. Gillespie , Meredith V. Trotter , Shripad D. Tuljapurkar