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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…

无序系统与神经网络 · 物理学 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…

科普物理 · 物理学 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…

无序系统与神经网络 · 物理学 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…

统计力学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

种群与进化 · 定量生物学 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…

种群与进化 · 定量生物学 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…

概率论 · 数学 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…

种群与进化 · 定量生物学 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…

地球与行星天体物理 · 物理学 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…

种群与进化 · 定量生物学 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…

混沌动力学 · 物理学 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…

概率论 · 数学 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…

广义相对论与量子宇宙学 · 物理学 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.…

种群与进化 · 定量生物学 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…

机器学习 · 计算机科学 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,…

综合经济学 · 经济学 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…

统计力学 · 物理学 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…

概率论 · 数学 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…

动力系统 · 数学 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao