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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

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

This paper examines the retirement decision, optimal investment, and consumption strategies under an age-dependent force of mortality. We formulate the optimization problem as a combined stochastic control and optimal stopping problem with…

Optimization and Control · Mathematics 2023-11-22 Giorgio Ferrari , Shihao Zhu

Despite its historical and biological stability, the sex ratio at birth (SRB) has risen in parts of the world in the last several decades. The resultant demographic consequences, mostly on sex imbalance, are well documented, typically…

Populations and Evolution · Quantitative Biology 2020-07-13 Zhen Zhang , Qiang Li

Data for many nations show a long-run increase, over many decades, of income, indexed by GDP per capita, and population health, indexed by mortality or life expectancy at birth (LEB). However, the short-run and long-run relationships…

General Economics · Economics 2025-06-24 José A. Tapia Granados , Edward L. Ionides

The existing life table method needs to calculate the age-specific mortality first, not only has too many and complicated calculation steps, but also introduces the multiple approximation to bring error. This paper redefines the probability…

Other Quantitative Biology · Quantitative Biology 2020-04-21 Weidong Huang

This article studies the stability of solutions of equilibrium equations arising in so-called resource dependent branching processes. We argue that these new models, building on the model already presented by Bruss (1984 a), refined and…

Probability · Mathematics 2020-03-10 F. Thomas Bruss

Thailand has entered into an aging society since the year 2000. Using the 2017 Survey of the Older Persons in Thailand collected by Thailand National Statistical Office, this study uses cross tabulation, random forest with variable…

Applications · Statistics 2025-12-24 Krittiya Kantachote , Nathakhun Wiroonsri

Real GDP growth rate in developed countries is found to be a sum of two terms. The first term is the reciprocal value of the duration of the period of mean income growth with work experience, Tcr. The current value of Tcr in the USA is 40…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

Mortality, birth rates and retirement play a major role in demographic changes. In most cases, mortality rates decreased in the past century without noticeable decrease in fertility rates, this leads to a significant increase in population…

Populations and Evolution · Quantitative Biology 2009-11-13 M. A. Sumour , A. H. El-Astal , M. M. Shabat , M. A. Radwan

Existing theories for the evolution of aging and death treat senescence as a side-effect of strong selection for fertility. These theories are well-developed mathematically, but fit poorly with emerging experimental data. The data suggest…

Populations and Evolution · Quantitative Biology 2007-05-23 Josh Mitteldorf

In countries with a growing number of elderly and a shrinking workforce, one of which is Russia, it becomes impossible to maintain a solidary pension system and a need to switch to a more stable funded system appears. This paper analyzes…

General Economics · Economics 2024-10-21 Kirill Moiseev

Life is on the razor's edge as resulting from competitive birth and death random forces. We illustrate this aphorism in the context of three Markov chain population models where systematic random immigration events promoting growth are…

Physics and Society · Physics 2023-04-18 Thierry Huillet

This paper critically reviews the research on the impact of immigration on employment and wages of natives in wealthy countries--where "natives" includes previous immigrants and their descendants. While written for a non-technical audience,…

General Economics · Economics 2020-07-21 David Roodman

Political discourse attributes the pressure on European welfare systems to foreign nationals. Yet projections of service demand rarely disaggregate service demand by citizenship status. We develop a structural demographic model and project…

Correlations between high life expectancy and low lifespan inequality are frequently observed. A recent article seeks to explain this phenomenon by proposing that a mortality improvement maps to life expectancy and relative lifespan…

Populations and Evolution · Quantitative Biology 2020-11-23 M. J. Wensink

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

This article examines the impact of China's delayed retirement announcement on households' savings behavior using data from China Family Panel Studies (CFPS). The article finds that treated households, on average, experience an 8% increase…

General Economics · Economics 2023-07-07 Shun Zhang

This paper studies the optimal investment problem for a hybrid pension plan under model uncertainty, where both the contribution and the benefit are adjusted depending on the performance of the plan. Furthermore, an age and time-dependent…

Optimization and Control · Mathematics 2023-02-07 Ke Fu , Ximin Rong , Hui Zhao

In this paper, we develop an expected utility model for the retirement behavior in the decumulation phase of Australian retirees with sequential family status subject to consumption, housing, investment, bequest and government provided…

Economics · Quantitative Finance 2016-06-30 Johan G. Andreasson , Pavel V. Shevchenko , Alex Novikov