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Genetic drift is stochastic fluctuations of alleles frequencies in a population due to sampling effects. We consider a model of drift in an equilibrium population, with high mutation rates: few functional mutations per generation. Such…

Populations and Evolution · Quantitative Biology 2017-01-12 Alexey A. Shadrin , Dmitri V. Parkhomchuk

The strong Allee effect plays an important role on the evolution of population in ecological systems. One important concept is the Allee threshold that determines the persistence or extinction of the population in a long time. In general, a…

Analysis of PDEs · Mathematics 2024-08-05 Fanze Kong , Juncheng Wei

The expansion of a population into new habitat is a transient process that leaves its footprints in the genetic composition of the expanding population. How the structure of the environment shapes the population front and the evolutionary…

Populations and Evolution · Quantitative Biology 2018-11-26 Daniel A. Beller , Kim M. J. Alards , Francesca Tesser , Ricardo A. Mosna , Federico Toschi , Wolfram Möbius

Heterogeneities in environmental conditions often induce corresponding heterogeneities in the distribution of species. In the extreme case of a localized patch of increased growth rates, reproducing populations can become strongly…

Populations and Evolution · Quantitative Biology 2013-01-17 Lukas Geyrhofer , Oskar Hallatschek

Biologists have long sought a way to explain how statistical properties of genetic sequences emerged and are maintained through evolution. On the one hand, non-random structures at different scales indicate a complex genome organisation. On…

Quantitative Methods · Quantitative Biology 2018-11-01 Giampaolo Cristadoro , Mirko Degli Esposti , Eduardo G. Altmann

The Mexican Migration Project (MMP) is a study that includes samples of undocumented Mexican immigrants to the United States after their return to Mexico. Of particular interest are the departure and return dates of a sampled migrant's most…

Physics and Society · Physics 2020-02-18 Scott Rodilitz , Edward H. Kaplan

The margins within the geographic range of species are often specific in terms of ecological and evolutionary processes, and can strongly influence the species' reaction to climate change. One of the frequently observed features at range…

Populations and Evolution · Quantitative Biology 2020-02-28 R. Juhász , B. Oborny

Convergence of discrete-time Markov chains with two timescales is a powerful tool to study stochastic evolutionary games in subdivided populations. Focusing on linear games within demes, convergence to a diffusion process for the strategy…

Populations and Evolution · Quantitative Biology 2024-11-05 Sabin Lessard

The interaction of all mobile species with their environment hinges on their movement patterns: the places they visit and how frequently they go there. In human society, where the prevalent form of cohabitation is in cities, the highly…

Physics and Society · Physics 2020-02-17 Markus Schläpfer , Michael Szell , Hadrien Salat , Carlo Ratti , Geoffrey B. West

Surnames and nonrecombining alleles are inherited from a single parent in a highly similar way. A simple birth-death model with mutations can accurately describe this process. Exponentially growing and constant populations are investigated,…

Statistical Mechanics · Physics 2007-05-23 Susanna C. Manrubia , Damian H. Zanette

Evolutionary analyses of large populations commonly incorporate stochasticity through temporal variation in selection while treating genetic transmission as fixed. Much less attention has been given to stochasticity in transmission itself.…

Populations and Evolution · Quantitative Biology 2026-02-24 Elisa Heinrich-Mora , Marcus Feldman

Sedentism was a decisive moment in the history of humankind. In a review article Kay and Kaplan quantified land use for early human settlements and found that sedentism and the emergence of farming go hand in hand. For these settlements two…

Pattern Formation and Solitons · Physics 2020-05-12 John Friesen , Jakob Hartig , Katharina Henn , Peter F. Pelz

A fundamental question in nonequilibrium statistical physics is whether effective equilibrium behavior can emerge at coarse-grained scales in strongly driven systems. Here, we investigate this question in the context of human mobility by…

Physics and Society · Physics 2026-03-24 Lei Dong

A pervasive challenge in neuroscience is testing whether neuronal connectivity changes over time due to specific causes, such as stimuli, events, or clinical interventions. Recent hardware innovations and falling data storage costs enable…

Neurons and Cognition · Quantitative Biology 2024-01-05 Johan Medrano , Karl J. Friston , Peter Zeidman

Fundamental properties of macroscopic gene-mating dynamic evolutionary systems are investigated. We focus on a single locus, any number of alleles in a two-gender dioecious population, for a large class of systems within population…

Populations and Evolution · Quantitative Biology 2020-07-22 Juven Wang , Jiunn-Wei Chen

Patterns of isolation-by-distance arise when population differentiation increases with increasing geographic distances. Patterns of isolation-by-distance are usually caused by local spatial dispersal, which explains why differences of…

Populations and Evolution · Quantitative Biology 2014-01-08 Nicolas Duforet-Frebourg , Michael G. B. Blum

In a wide variety of natural systems, closely-related microbial strains coexist stably, resulting in high levels of fine-scale biodiversity. However, the mechanisms that stabilize this coexistence are not fully understood. Spatial…

Populations and Evolution · Quantitative Biology 2023-03-29 Casey Barkan , Shenshen Wang

In nonlinear voter models the transitions between two states depend in a nonlinear manner on the frequencies of these states in the neighborhood. We investigate the role of these nonlinearities on the global outcome of the dynamics for a…

Statistical Mechanics · Physics 2009-04-05 Frank Schweitzer , Laxmidhar Behera

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