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Natural selection explains how life has evolved over millions of years from more primitive forms. The speed at which this happens, however, has sometimes defied formal explanations when based on random (uniformly distributed) mutations.…

Neural and Evolutionary Computing · Computer Science 2018-06-22 Santiago Hernández-Orozco , Narsis A. Kiani , Hector Zenil

Given a sufficiently large universe, numerous civilizations almost surely exist. Some of these civilizations will be short-lived and die out relatively early in their development, i.e., before having the chance to spread to other planets.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Austin Gerig , Ken D. Olum , Alexander Vilenkin

We study the statistics of human deaths from wars, conflicts, similar man-made conflicts as well as natural disasters. The probability distribution of number of people killed in natural disasters as well as man made situations show power…

Physics and Society · Physics 2017-03-01 Arnab Chatterjee , Bikas K Chakrabarti

Multiple species in the ecosystem are believed to compete cyclically for survival and thus maintain balance in nature. Stochasticity has also an inevitable role in this dynamics. Considering these attributes of nature, the stochastic…

Populations and Evolution · Quantitative Biology 2020-08-05 Sirshendu Bhattacharyya , Pritam Sinha , Rina De , Chittaranjan Hens

We introduce and study a learning theory which is roughly automatic, that is, it does not require but a minimum of initial programming, and is based on the potential computational phenomenon of self-reference, (i.e. the potential ability of…

Logic in Computer Science · Computer Science 2023-04-25 A. D. Arvanitakis

Lifespan distributions of populations of quite diverse species such as humans and yeast seem to surprisingly well follow the same empirical Gompertz-Makeham law, which basically predicts an exponential increase of mortality rate with age.…

Quantitative Methods · Quantitative Biology 2011-10-18 André Grüning , Aasis Vinayak PG

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

An amoeba is a tree together with instructions how to iteratively grow trees by adding paths of a fixed length $\ell$. This paper analyses such a growth process. An amoeba is mortal if all versions of the process are finite, and it is…

Combinatorics · Mathematics 2025-04-18 Vladimir Gurvich , Matjaž Krnc , Mikhail Vyalyi

Suitable assumptions for the Gompertz mortality law take into account the break in the time development observed recently by Wilmoth et al. They show how a drastic reduction in the birth rate and improved living conditions lead to a drastic…

Statistical Mechanics · Physics 2007-05-23 Dietrich Stauffer

We investigate the salience of extinction risk as a source of impatience. Our framework distinguishes between human extinction risk and individual mortality risk while allowing for various degrees of intergenerational altruism.…

General Economics · Economics 2025-09-08 Jakub Growiec , Klaus Prettner

In the {\em Many Worlds Interpretation} of quantum mechanics, the range of possible worlds (or histories) provides variation, and the Anthropic Principle is a selective principle analogous to natural selection. When looked on in this way,…

General Physics · Physics 2007-05-23 Russell K. Standish

A simple evolutionary model for biological ageing is modified such that it requires a minimum population for survival, like in human society. This social effect leads to a transition between extinction and survival of the species.

Statistical Mechanics · Physics 2007-05-23 Dietrich Stauffer , Jan P. Radomski

Genetic information and environmental factors determine the path of an individuals life and therefore, the evolution of its entire species. We have succeeded in proposing and studying a model that captures this idea. In our model, a…

Populations and Evolution · Quantitative Biology 2021-07-28 N. Abadi , G. Abramson

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Peliti

This paper makes a number of connections between life and various facets of genetic and evolutionary algorithms research. Specifically, it addresses the topics of adaptation, multiobjective optimization, decision making, deception, and…

Neural and Evolutionary Computing · Computer Science 2016-08-31 Fernando G. Lobo

This paper focuses on the maximum speed at which biological evolution can occur. I derive inequalities that limit the rate of evolutionary processes driven by natural selection, mutations, or genetic drift. These \emph{rate limits} link the…

Populations and Evolution · Quantitative Biology 2024-06-17 Luis Pedro García-Pintos

The evolutionary biology of aging is fundamental to understanding the mechanisms of aging and how to develop anti-aging treatments. Thus far most evolutionary theory concerns the genetics of aging with limited physiological integration.…

Populations and Evolution · Quantitative Biology 2025-09-22 Mirre J P Simons , Marc Tatar

We propose a stochastic model for evolution. Births and deaths of species occur with constant probabilities. Each new species is associated with a fitness sampled from the uniform distribution on [0,1]. Every time there is a death event…

Probability · Mathematics 2010-11-09 Herve Guiol , Fabio P. Machado , Rinaldo B. Schinazi

It has been proposed that, since the origin of life and the ensuing evolution of biological species, a second evolutionary process has appeared on our planet. It is the evolution of culture-e.g., ideas, beliefs, and artifacts. Does culture…

Populations and Evolution · Quantitative Biology 2019-07-09 Liane Gabora , Diederik Aerts