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We consider neutral evolution of a large population subject to changes in its population size. For a population with a time-variable carrying capacity we have computed the distributions of the total branch lengths of its sample genealogies.…

Populations and Evolution · Quantitative Biology 2012-06-13 A. Eriksson , B. Mehlig , M. Rafajlovic , S. Sagitov

In classical evolutionary theory, genetic variation provides the source of heritable phenotypic variation on which natural selection acts. Against this classical view, several theories have emphasized that developmental variability and…

Populations and Evolution · Quantitative Biology 2011-11-08 Steven A. Frank

It is usually believed that Darwin's theory leads to a smooth gradual evolution, so that mass extinctions must be caused by external shocks. However, it has recently been argued that mass extinctions arise from the intrinsic dynamics of…

Condensed Matter · Physics 2015-06-25 Per Bak , Maya Paczuski

In genetic drift of small population, it is well known that even when the ratio of alleles is 0.5, specific genes are fixed in or disappear from the population. It seems the reason why inbreeding is avoided. On the other hand, this…

Populations and Evolution · Quantitative Biology 2018-05-08 Hiroshi Isshiki

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

Populations and Evolution · Quantitative Biology 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

Range expansion and range shifts are crucial population responses to climate change. Genetic consequences are not well understood but are clearly coupled to ecological dynamics that, in turn, are driven by shifting climate conditions. We…

Populations and Evolution · Quantitative Biology 2016-09-29 Jimmy Garnier , Mark Lewis

We demonstrate with a thought experiment that fitness-based population dynamical approaches to evolution are not able to make quantitative, falsifiable predictions about the long-term behavior of evolutionary systems. A key characteristic…

Populations and Evolution · Quantitative Biology 2015-05-14 Peter Klimek , Stefan Thurner , Rudolf Hanel

The number of extant individuals within a lineage, as exemplified by counts of species numbers across genera in a higher taxonomic category, is known to be a highly skewed distribution. Because the sublineages (such as genera in a clade)…

Applications · Statistics 2009-01-09 Panagis Moschopoulos , Max Shpak

For over 165 million years, dinosaurs reigned on this planet. Their entire existence saw variations in their body size and mass . Understanding the relationship between various attributes such as femur length, breadth; humerus length,…

Populations and Evolution · Quantitative Biology 2023-09-25 Akshita Patil , Nishchal Dwivedi

The adaptation rate in theoretical models of biological evolution increases with the mutation rate but only to a point when mutations into lethal states cause extinction. One would expect that removing such states should be beneficial for…

Populations and Evolution · Quantitative Biology 2024-06-27 Viktoria Blavatska , Bartlomiej Waclaw

The two major approaches to studying macroevolution in deep time are the fossil record and reconstructed relationships among extant taxa from molecular data. Results based on one approach sometimes conflict with those based on the other,…

Populations and Evolution · Quantitative Biology 2018-04-02 Melanie J. Hopkins , David W. Bapst , Carl Simpson , Rachel C. M. Warnock

In this work, we outline a mathematical description of biodiversity evolution throughout the Phanerozoic based on a simple coupled system of two differential equations and on the division of genera in two classes - Short-lived and…

Populations and Evolution · Quantitative Biology 2023-01-18 L. G. Barão , L. M. de Sá , A. Bernardo , J. E. Horvath

We investigate evolutionary dynamics related to periodicity fossil biodiversity. Coherent periodic fluctuation in origination/extinction of marine genera that survive <45 million years is the source of an observed ~62 million year…

Populations and Evolution · Quantitative Biology 2011-07-26 Adrian L. Melott , Richard K. Bambach

A simple model of macroevolution is proposed exhibiting both the property of punctuated equilibrium and the dynamics of potentialities for different species to evolve towards increasingly higher complexity. It is based on the phenomenon of…

Biological Physics · Physics 2007-05-23 Siegfried Fussy , Gerhard Groessing , Herbert Schwabl

The necks of the sauropod dinosaurs reached 15 m in length: six times longer than that of the world record giraffe and five times longer than those of all other terrestrial animals. Several anatomical features enabled this extreme…

Tissues and Organs · Quantitative Biology 2013-02-13 Michael P. Taylor , Mathew J. Wedel

The dynamical mechanisms that can stabilize the coexistence of species (or strategies) are of substantial interest for the maintenance of biodiversity and in sociobehavioural dynamics. We investigate the mean extinction time in the…

Populations and Evolution · Quantitative Biology 2010-03-16 Markus Schütt , Jens Christian Claussen

Evolutionary dynamics and patterns of molecular evolution are strongly influenced by selection on linked regions of the genome, but our quantitative understanding of these effects remains incomplete. Recent work has focused on predicting…

Populations and Evolution · Quantitative Biology 2013-05-29 Benjamin H. Good , Michael M. Desai

Empirical observations in marine ecosystems have suggested a balance of biological and advection time scales as a possible explanation of species coexistence. To characterise this scenario, we measure the time to fixation in neutrally…

Populations and Evolution · Quantitative Biology 2018-04-09 Tobias Galla , Vicente Pérez-Muñuzuri

In this work we propose a physical model of organismal evolution, where phenotype, organism life expectancy, is directly related to genotype i.e. the stability of its proteins which can be determined exactly in the model. Simulating the…

Populations and Evolution · Quantitative Biology 2007-05-23 Konstantin B. Zeldovich , Boris E. Shakhnovich , Eugene I. Shakhnovich
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