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Ecological selection is a major driver of community assembly. Selection is classified as stabilizing when species with intermediate trait values gain the highest reproductive success, whereas selection is considered directional when fitness…

Populations and Evolution · Quantitative Biology 2021-05-13 DeMalach Niv , Po-Ju Ke , Tadashi Fukami

Many organisms live in populations structured by space and by class, exhibit plastic responses to their social partners, and are subject to non-additive ecological and fitness effects. Social evolution theory has long recognized that all of…

Populations and Evolution · Quantitative Biology 2014-04-24 Jeremy Van Cleve , Erol Akçay

The assessment of diversity and similarity is relevant in monitoring the status of ecosystems. The respective indicators are based on the taxonomic composition of biological communities of interest, currently estimated through the…

Applications · Statistics 2018-10-12 Fabio Divino , Johanna Ärje , Antti Penttinen , Kristian Meissner , Salme Kärkkäinen

We examine the two-dimensional extension of the model of Kessler and Sander of competition between two species identical except for dispersion rates. In this class of models, the spatial inhomogeneity of reproduction rates gives rise to an…

Populations and Evolution · Quantitative Biology 2015-06-12 Shlomit Weisman , David A. Kessler

We study a stochastic linear discrete metapolulation model to understand the effect of risk spreading by dispersion. We calculate analytically the stable distribution of populations that live in different habitats. The result shows that the…

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

In his seminal work in the 1970s, Robert May suggested that there is an upper limit to the number of species that can be sustained in stable equilibrium by an ecosystem. This deduction was at odds with both intuition and the observed…

Populations and Evolution · Quantitative Biology 2025-01-30 Joseph W. Baron , Tobias Galla

We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end…

Dynamical Systems · Mathematics 2023-03-22 Shanshan Chen , Junping Shi , Zhisheng Shuai , Yixiang Wu

Sustainability of common-pool resources hinges on the interplay between human and environmental systems. However, there is still a lack of a novel and comprehensive framework for modelling extraction of common-pool resources and cooperation…

Theoretical Economics · Economics 2023-10-18 Chengyi Tu , Renfei Chen , Ying Fan , Xuwei Pan

In this work we study the process of mutant invasion on an example of a consumer-resource system with annual character of the behavior. Namely, individuals are active during seasons of fixed length separated by winter periods. All…

Optimization and Control · Mathematics 2010-06-15 Andrei R. Akhmetzhanov , Frederic Grognard , Ludovic Mailleret , Pierre Bernhard

Quantifying diversity is of central importance for the study of structure, function and evolution of microbial communities. The estimation of microbial diversity has received renewed attention with the advent of large-scale metagenomic…

Populations and Evolution · Quantitative Biology 2013-08-06 Bart Haegeman , Jérôme Hamelin , John Moriarty , Peter Neal , Jonathan Dushoff , Joshua S. Weitz

The rapid advancement of environmental sequencing technologies, such as metagenomics, has significantly enhanced our ability to study microbial communities. The eubiotic composition of these communities is crucial for maintaining ecological…

Disordered Systems and Neural Networks · Physics 2025-08-27 Jacopo Pasqualini , Amos Maritan , Andrea Rinaldo , Sonia Facchin , Edoardo Savarino , Ada Altieri , Samir Suweis

We demonstrate diversification rather than optimisation for highly interacting organisms in a well mixed biological system by means of a simple model and reference to experiment, and find the cause to be the complex network of interactions…

Populations and Evolution · Quantitative Biology 2007-05-23 Daniel Lawson , Henrik Jeldtoft Jensen , Kunihiko Kaneko

Understanding the evolution of dispersal is an important issue in evolutionary ecology. For continuous time models in which individuals disperse throughout their lifetime, it has been shown that a balanced dispersal strategy, which results…

Populations and Evolution · Quantitative Biology 2019-02-12 Robert Stephen Cantrell , Chris Cosner , Yuan Lou , Sebastian J. Schreiber

The complexity of an ecological community can be distilled into a network, where diverse interactions connect species in a web of dependencies. Species interact not only with each other but indirectly through environmental effects, however…

Populations and Evolution · Quantitative Biology 2020-09-09 Justin D. Yeakel , Mathias M. Pires , Marcus A. M. de Aguiar , James L. O'Donnell , Paulo R. Guimarães , Dominique Gravel , Thilo Gross

Mixed microbial communities, usually composed of various bacterial and fungal species, are fundamental in a plethora of environments, from soil to human gut and skin. Their evolution is a paradigmatic example of intertwined dynamics, where…

Populations and Evolution · Quantitative Biology 2022-07-01 Andrea Roli , Stuart A. Kauffman

Aggregated metapopulation lifetime statistics has been used to access stylized facts that might help identify the underlying patch-level dynamics. For instance, the emergence of scaling laws in the aggregated probability distribution of…

Populations and Evolution · Quantitative Biology 2019-09-10 E. H. Colombo

This article is concerned with a stochastic multi-patch model in which each local population is subject to a strong Allee effect. The model is obtained by using the framework of interacting particle systems to extend a stochastic two-patch…

Probability · Mathematics 2013-01-03 Nicolas Lanchier

In a geographically distributed population, assortative clustering plays an important role in evolution by modifying local environments. To examine its effects in a linear habitat, we consider a one-dimensional grid of cells, where each…

Populations and Evolution · Quantitative Biology 2021-03-16 Sunhee Chae , Nahyeon Lee , Seung Ki Baek , Hyeong-Chai Jeong

We study the convenience of a nonlocal dispersal strategy in a reaction-diffusion system with a fractional Laplacian operator. We show that there are circumstances - namely, a precise condition on the distribution of the resource - under…

Analysis of PDEs · Mathematics 2016-03-30 Annalisa Massaccesi , Enrico Valdinoci

The spreading of evolutionary novelties across populations is the central element of adaptation. Unless population are well-mixed (like bacteria in a shaken test tube), the spreading dynamics not only depends on fitness differences but also…

Populations and Evolution · Quantitative Biology 2015-06-19 Oskar Hallatschek , Daniel S. Fisher