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Twenty years ago, after analysing palaeontological data, Raup and Sepkoski suggested that mass extinctions on Earth appear cyclically in time with a period of approximately 26 million years (My). To explain the 26My period, a number of…

Populations and Evolution · Quantitative Biology 2007-05-23 Adam Lipowski , Dorota Lipowska

Mass extinction is a phenomenon in the history of life on Earth when a considerable number of species go extinct over a relatively short period of time. The magnitude of extinction varies between the events, the most well known are the…

Adaptation and Self-Organizing Systems · Physics 2022-08-29 Amer Alsulami , Sergei Petrovskii

Stochastic models, based on random processes, may lead to power law distributions, which provide long range correlations. The observation of power law behavior and the presence of long range correlations in biological systems has been…

Statistical Mechanics · Physics 2008-03-26 Thomas Oikonomou

Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which…

Populations and Evolution · Quantitative Biology 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

In subdivided populations, migration acts together with selection and genetic drift and determines their evolution. Building up on a recently proposed method, which hinges on the emergence of a time scale separation between local and global…

Populations and Evolution · Quantitative Biology 2015-03-24 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

We use a generalised version of the individual-based Tangled Nature model of evolutionary ecology to study the relationship between ecosystem structure and evolutionary history. Our evolved model ecosystems typically exhibit interaction…

Populations and Evolution · Quantitative Biology 2007-05-23 Simon Laird , Henrik Jeldtoft Jensen

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

Understanding systems level behaviour of many interacting agents is challenging in various ways, here we'll focus on the how the interaction between components can lead to hierarchical structures with different types of dynamics, or…

Populations and Evolution · Quantitative Biology 2018-12-26 Henrik Jeldtoft Jensen

We seek models for the genotype evolution of agricultural animals, animals involved in primary production processes. Classical models for genotype evolution have tended to be very simple in order that analytic methods may be employed in…

Quantitative Methods · Quantitative Biology 2017-12-15 Vladimir Obolonkin , Anatoly Zherelo , George Krylov , Murray Jorgensen , Richard Spelman

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

Probability · Mathematics 2020-12-29 Lea Popovic , Liam Peuckert

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

A central feature of complex systems is the relevance and entanglement of different levels of description. For instance, the dynamics of ecosystems can be alternatively described in terms of large ecological processes and classes of…

Populations and Evolution · Quantitative Biology 2025-10-06 Juan Giral Martínez , Silvia de Monte , Matthieu Barbier

The interaction between natural selection and random mutation is frequently debated in recent years. Does similar dilemma also exist in the evolution of real networks such as biological networks? In this paper, we try to discuss this issue…

Statistical Mechanics · Physics 2009-01-07 Zhen Shao , Hai-jun Zhou

In the spirit of the many recent simple models of evolution inspired by statistical physics, we put forward a simple model of the evolution of such models. Like its objects of study, it is (one supposes) in principle testable and capable of…

adap-org · Physics 2007-05-23 Cosma Rohilla Shalizi , William A. Tozier

I discuss the so-called stochastic individual based model of adaptive dynamics and in particular how different scaling limits can be obtained by taking limits of large populations, small mutation rate, and small effect of single mutations…

Populations and Evolution · Quantitative Biology 2021-07-06 Anton Bovier

This work deals with two problems arising in mathematical ecology. The first problem is concerned with diploid branching particle models and its behavior when rapid stirring is added to the interaction. The particle models involve two types…

Probability · Mathematics 2007-05-23 Feng Yu

Evolution by Natural Selection is a process by which progeny inherit some properties from their progenitors with small variation. These properties are subject to Natural Selection and are called adaptive traits and carriers of the latter…

Analysis of PDEs · Mathematics 2024-01-29 Gonzalo Galiano , Yosef Cohen

Speciation is of fundamental importance to understanding the huge diversity of life on Earth. In contrast to current phenomenological models, we develop a biophysically motivated approach to study speciation involving the co-evolution of…

Populations and Evolution · Quantitative Biology 2015-05-18 Bhavin S. Khatri , Richard A. Goldstein

This paper concerns the modeling and numerical simulation of the process of speciation. In particular, given conditions for which one or more speciation events within an ecosystem occur, our aim is to develop the necessary modeling and…

Populations and Evolution · Quantitative Biology 2021-10-08 Mats K. Brun , Elyes Ahmed , Jan Martin Nordbotten , Nils Christian Stenseth

We review recent work aimed at modeling species extinction over geological time. We discuss a number of models which, rather than dealing with the direct causes of particular extinction events, attempt to predict overall statistical trends,…

adap-org · Physics 2015-06-30 M. E. J. Newman , R. G. Palmer
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