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We consider a population of genotype sequences evolving on a rugged fitness landscape with many local fitness peaks. The population walks uphill until it encounters a local fitness maximum. We find that the statistical properties of the…

Populations and Evolution · Quantitative Biology 2015-05-30 Kavita Jain

The question of whether a population will persist or go extinct is of key interest throughout ecology and biology. Various mathematical techniques allow us to generate knowledge regarding individual behaviour, which can be analysed to…

Populations and Evolution · Quantitative Biology 2021-04-28 Stuart T. Johnston , Matthew J. Simpson , Edmund J. Crampin

The national census is an essential data source to support decision-making in many areas of public interest. However, this data may become outdated during the intercensal period, which can stretch up to several decades. We developed a…

The evolution of personal income distribution (PID) in four countries: Canada, New Zealand, the UK, and the USA follows a unique trajectory. We have revealed precise match in the shape of two age-dependent features of the PID: mean income…

General Finance · Quantitative Finance 2015-10-12 Ivan Kitov , Oleg Kitov

We present some analytic results for the steady states of the Penna model of sen escence, generalised to allow genetically identical individuals to die at differ ent ages via an arbitrary survival function. Modelling this with a Fermi…

Soft Condensed Matter · Physics 2009-11-07 J. B. Coe , Y. Mao , M. E. Cates

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

We address the problem of estimating how different parts of the brain develop and change throughout the lifespan, and how these trajectories are affected by genetic and environmental factors. Estimation of these lifespan trajectories is…

Applications · Statistics 2020-11-30 Øystein Sørensen , Kristine B Walhovd , Anders M Fjell

Let $N$ be a natural number. We consider a population which lives on $I_N=\{-N,-N+1,\dots,N-1,N\}$. Each individual gives birth at rate $\lambda$ on each of its neighboring sites and dies at rate 1. No births are allowed from the inside of…

Probability · Mathematics 2026-02-10 Rinaldo B. Schinazi

We review some results on abstract linear and nonlinear population models with age and spatial structure. The results are mainly based on the assumption of maximal $L_p$-regularity of the spatial dispersion term. In particular, this…

Analysis of PDEs · Mathematics 2017-09-14 Christoph Walker

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

Motivation: Since susceptibility to diseases increases with age, studying aging gains importance. Analyses of gene expression or sequence data, which have been indispensable for investigating aging, have been limited to studying genes and…

Computational Engineering, Finance, and Science · Computer Science 2013-07-15 Fazle Elahi Faisal , Tijana Milenkovic

Cell lineage statistics is a powerful tool for inferring cellular parameters, such as division rate, death rate or the population growth rate. Yet, in practice such an analysis suffers from a basic problem: how should we treat incomplete…

Populations and Evolution · Quantitative Biology 2023-09-14 Arthur Genthon , Takashi Nozoe , Luca Peliti , David Lacoste

The human lifespan retrieval curve describes the proportion of recalled memories from each year of life. It exhibits a reminiscence bump - a tendency for aged people to better recall memories formed during their young adulthood than from…

Neurons and Cognition · Quantitative Biology 2025-04-22 Patrícia Pereira , Anders Lansner , Pawel Herman

Deriving precise stellar ages is a challenging task. Consequently, age-dependent relations - such as the age-metallicity and age-velocity dispersion relations of the Milky Way, or the age-rotation-activity relation of low-mass stars - are…

Each individual in society experiences an evolution of their income during their lifetime. Macroscopically, this dynamics creates a statistical relationship between age and income for each society. In this study, we investigate income…

General Economics · Economics 2022-02-01 Fatih Ozhamaratli , Oleg Kitov , Paolo Barucca

According to the World Health Organization, the rate of people aged 60 or more is growing faster than any other age group in almost every country, and this trend is not going to change in a near future. Since senior citizens are at high…

Other Computer Science · Computer Science 2015-01-23 Daniele Riboni , Claudio Bettini , Gabriele Civitarese , Zaffar Haider Janjua , Rim Helaoui

Studies that predict species extinction have focused on a range of flora and fauna but in regard to Homo sapiens there are, with one notable exception, no predictive studies, only considerations of possible ways this may occur. The…

Populations and Evolution · Quantitative Biology 2025-08-12 David A. Swanson , Jeff Tayman

We study two models of population with migration. We assume that we are given infinitely many islands with the same number r of resources, each individual consuming one unit of resources. On an island lives an individual whose genealogy is…

Probability · Mathematics 2012-06-27 Raoul Normand

Cerebral perfusion plays a crucial role in maintaining brain function and is tightly coupled with neuronal activity. While previous studies have examined cerebral perfusion trajectories across development and aging, precise characterization…

Neurons and Cognition · Quantitative Biology 2025-02-13 Xinglin Zeng , Yiran Li , Lin Hua , Ruoxi Lu , Lucas Lemos Franco , Peter Kochunov , Shuo Chen , John A Detre , Ze Wang

Why are life trajectories difficult to predict? We investigated this question through in-depth qualitative interviews with 40 families sampled from a multi-decade longitudinal study. Our sampling and interviewing process were informed by…