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The spatial scale of population synchrony gives the characteristic distance at which the population fluctuations are correlated. Therefore, it gives also the characteristic size of the regions of simultaneous population depletion, or even…

Populations and Evolution · Quantitative Biology 2020-12-22 Miguel Ángel Fernández-Grande , Francisco Javier Cao-Garcia

Predicting evolution of expanding populations is critical to control biological threats such as invasive species and cancer metastasis. Expansion is primarily driven by reproduction and dispersal, but nature abounds with examples of…

Populations and Evolution · Quantitative Biology 2019-04-26 Maxime Deforet , Carlos Carmona-Fontaine , Kirill S. Korolev , Joao B. Xavier

Many species see their range shifted poleward in response to global warming and need to keep pace in order to survive. To understand the effect of climate change on species ranges and its consequences on population dynamics, we consider a…

Analysis of PDEs · Mathematics 2016-01-26 Juliette Bouhours , Thomas Giletti

The accumulation of beneficial mutations on many competing genetic backgrounds in rapidly adapting populations has a striking impact on evolutionary dynamics. This effect, known as clonal interference, causes erratic fluctuations in the…

Populations and Evolution · Quantitative Biology 2013-05-31 Katya Kosheleva , Michael Desai

We study an individual-based model in which two spatially-distributed species, characterized by different diffusivities, compete for resources. We consider three different ecological settings. In the first, diffusing faster has a cost in…

Populations and Evolution · Quantitative Biology 2016-01-27 Simone Pigolotti , Roberto Benzi

We consider a family of models describing the evolution under selection of a population whose dynamics can be related to the propagation of noisy traveling waves. For one particular model, that we shall call the exponential model, the…

Disordered Systems and Neural Networks · Physics 2009-11-13 E. Brunet , B. Derrida , A. H. Mueller , S. Munier

In this paper, we investigate the consequences of dormancy in the `rare mutation' and `large population' regime of stochastic adaptive dynamics. Starting from an individual-based micro-model, we first derive the polymorphic evolution…

Populations and Evolution · Quantitative Biology 2022-09-07 Jochen Blath , Tobias Paul , András Tobiás , Maite Wilke Berenguer

Our models for detecting the effect of adaptation on population genomic diversity are often predicated on a single newly arisen mutation sweeping rapidly to fixation. However, a population can also adapt to a new situation by multiple…

Populations and Evolution · Quantitative Biology 2012-07-26 Peter Ralph , Graham Coop

Fitness consequence of dispersal depends on property of the entire landscape, which patches are available and what are the cost of moving. These are information that are not available locally when an organism make the decision to disperse.…

Populations and Evolution · Quantitative Biology 2026-01-08 Wayne Liang , Rufus Johnstone

Environmental fluctuations can create population-depleted areas and even extinct areas for the population. This effect is more severe in the presence of the Allee effect (decreasing growth rate at low population densities). Dispersal inside…

Populations and Evolution · Quantitative Biology 2022-02-23 Rodrigo Crespo-Miguel , Javier Jarillo , Francisco J. Cao-García

Epidemic disease spreading is conventionally often modelled and analyzed by means of rate and diffusion equations, following the paradigms of well-controlled chemical reactions and diffusive dynamics in a test tube. Yet, serious worries…

Physics and Society · Physics 2023-01-03 Klaus Kroy

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Sylvie Méléard

There is a pressing need to better understand how microbial populations respond to antimicrobial drugs, and to find mechanisms to possibly eradicate antimicrobial-resistant cells. The inactivation of antimicrobials by resistant microbes can…

Populations and Evolution · Quantitative Biology 2023-11-16 Lluís Hernández-Navarro , Matthew Asker , Alastair M. Rucklidge , Mauro Mobilia

Ecologists have long investigated how demographic and movement parameters determine the spatial distribution and critical habitat size of a population. However, most models oversimplify movement behavior, neglecting how landscape…

Populations and Evolution · Quantitative Biology 2024-03-11 Vivian Dornelas , Pablo de Castro , Justin M. Calabrese , William F. Fagan , Ricardo Martinez-Garcia

It has not been known whether preferential dispersal is adaptive in fluctuating environments. We investigate the effect of preferential and random dispersals in bet-hedging systems by using a discrete stochastic metapopulation model, where…

Populations and Evolution · Quantitative Biology 2015-11-12 Satoru Morita , Jin Yoshimura

Phenotypes of individuals in a population of organisms are not fixed. Phenotypic fluctuations, which describe temporal variation of the phenotype of an individual or individual-to-individual variation across a population, are present in…

Populations and Evolution · Quantitative Biology 2018-08-15 Hong-Yan Shih , Harry Mickalide , David T. Fraebel , Nigel Goldenfeld , Seppe Kuehn

We study how changes in population size and fluctuating environmental conditions influence the establishment of seed banks in plants. Our model is a modification of the Wright-Fisher model with seed bank, introduced by Kaj, Krone and…

Probability · Mathematics 2026-02-05 Alison Etheridge , João Luiz de Oliveira Madeira

Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in…

Populations and Evolution · Quantitative Biology 2020-04-03 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

The role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The…

Populations and Evolution · Quantitative Biology 2009-11-13 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

The evolution of dispersal rate is studied with a model of several local populations linked by dispersal. Three dispersal strategies are considered where all, half, or none of the offspring disperse. The spatial scale (number of patches)…

Populations and Evolution · Quantitative Biology 2019-03-12 Emmanuel Paradis