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We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

Disordered Systems and Neural Networks · Physics 2007-05-23 David M. D. Smith , Neil F. Johnson

Von Hoerner (1975) examined the effects of human population growth and predicted agricultural, environmental, and other problems from observed growth rate trends. Using straightforward calculations, VH75 predicted the "doomsday" years for…

Popular Physics · Physics 2019-02-12 Brendan Mullan , Jacob Haqq-Misra

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Lamper , S. Howison , N. F. Johnson

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

Statistical Mechanics · Physics 2007-05-23 Paulo Murilo Castro de Oliveira

We discuss the Carter's formula about the mankind evolution probability following the derivation proposed by Barrow and Tipler. We stress the relation between the existence of billions of galaxies and the evolution of at least one…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Feoli , S. Rampone

This chapter reviews some aspects of the theory of age-structured models of populations with finite maximum age. We formulate both the renewal equation for the birth rate and the partial differential equation for the age density, and show…

Populations and Evolution · Quantitative Biology 2025-10-21 Odo Diekmann , Francesca Scarabel

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

Populations and Evolution · Quantitative Biology 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition of the entire population. We describe the dynamics of the…

Probability · Mathematics 2019-03-13 Jie Yen Fan , Kais Hamza , Peter Jagers , Fima C. Klebaner

Mating preferences of many biological species are not constant but season-dependent. Within the framework of evolutionary game theory this can be modeled with two finite opposite-sex populations playing against each other following the…

Populations and Evolution · Quantitative Biology 2015-08-13 Olena Tkachenko , Juzar Thingna , Sergey Denisov , Vasily Zaburdaev , Peter Hänggi

With the increasing number of exoplanets discovered, statistical properties of the population as a whole become unique constraints on planet formation models provided a link between the description of the detailed processes playing a role…

Earth and Planetary Astrophysics · Physics 2015-06-18 W. Benz , S. Ida , Y. Alibert , D. N. C. Lin , C. Mordasini

Using Monte Carlo model of biological evolution we have discovered that populations can switch between two different strategies of their genomes' evolution; Darwinian purifying selection and complementing the haplotypes. The first one is…

Populations and Evolution · Quantitative Biology 2009-11-13 Marta Zawierta , Wojciech Waga , Dorota Mackiewicz , Przemyslaw Biecek , Stanislaw Cebrat

The paper is focused on the discussion of the phenomenon of transitional chaos in dynamic autonomous and non-autonomous systems. This phenomenon involves the disappearance of chaotic oscillations in specific time periods and the system…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski

Since its early beginnings, mankind has put to test many different society forms, and this fact raises a complex of interesting questions. The objective of this paper is to present a general population model which takes essential features…

Probability · Mathematics 2015-01-26 F. Thomas Bruss , Mitia Duerinckx

The concordance model of cosmology predicts a universe which finishes in a finite amount of conformal time at a future conformal boundary. We show that for particular cases we study, the background variables and perturbations may be…

General Relativity and Quantum Cosmology · Physics 2022-05-18 A. N. Lasenby , W. J. Handley , D. J. Bartlett , C. S. Negreanu

A simplified model for the growth of a population is studied in which random effects arise because reproducing individuals have a certain probability of surviving until the next breeding season and hence contributing to the next generation.…

Populations and Evolution · Quantitative Biology 2016-04-05 Henry C. Tuckwell

Darwin's theory of evolution is considered to be one of the greatest scientific gems in modern science. It not only gives us a description of how living things evolve, but also shows how a population evolves through time and also, why only…

Machine Learning · Computer Science 2013-12-18 Arka Bhattacharya

This article presents an analysis of China's economic evolution amidst demographic changes from 1990 to 2050, offering valuable insights for academia and policymakers. It uniquely intertwines various economic theories with empirical data,…

General Economics · Economics 2023-12-20 Yuxin Hu

Repetitions within a given genealogical tree provides some information about the degree of consanguineity of a population. They can be analyzed with techniques usually employed in statistical physics when dealing with fixed point…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios , Oscar Pla

In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction set. In many cases, it is proven that when this growth rate…

Probability · Mathematics 2020-01-06 Dang H. Nguyen , Edouard Strickler

Motivated by the climate crisis that is currently ravaging the planet, we propose and analyze a novel framework for the evolution of anthropogenic climate impact in which the evolution of human environmental behavior and environmental…

Dynamical Systems · Mathematics 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao