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A major aim of evolutionary biology is to explain the respective roles of adaptive versus non-adaptive changes in the evolution of complexity. While selection is certainly responsible for the spread and maintenance of complex phenotypes,…

Populations and Evolution · Quantitative Biology 2017-01-17 Thomas LaBar , Christoph Adami

Over the past century, nonlinear difference and differential equations have been used to understand conditions for species coexistence. However, these models fail to account for random fluctuations due to demographic and environmental…

Populations and Evolution · Quantitative Biology 2019-02-12 Sebastian J. Schreiber

Ecosystems dynamics is often considered as driven by a coupling of species' resource consumption and its population size dynamics. Such resource-population dynamics is captured by MacArthur-type models. One biologically relevant feature…

Populations and Evolution · Quantitative Biology 2023-07-10 Elena Bellavere , Christian H. S. Hamster , Joshua A. Dijksman

Eco-evolutionary dynamics, or eco-evolution for short, are thought to involve rapid demography (ecology) and equally rapid phenotypic changes (evolution) leading to novel, emergent system behaviours. This focus on contemporary dynamics is…

Populations and Evolution · Quantitative Biology 2022-10-24 Emanuel A. Fronhofer , Dov Corenblit , Jhelam N. Deshpande , Lynn Govaert , Philippe Huneman , Frédérique Viard , Philippe Jarne , Sara Puijalon

We study a dynamic model of ecosystems where immigration plays an essential role both in assembling the species community and in mantaining its biodiversity. This framework is particularly relevant for insular ecosystems. Population…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 U. Bastolla , M. Laessig , S. Manrubia , A. Valleriani

The mechanisms underlying eco-evolutionary dynamics (the feedback between ecological and evolutionary processes) are often unknown. Here, we propose that classical theory from behavioral ecology can provide a greater understanding of the…

Populations and Evolution · Quantitative Biology 2019-12-23 Kiyoko M. Gotanda , Damien R. Farine , Claudius F. Kratochwil , Kate L. Laskowski , Pierre-Olivier Montiglio

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-18 Chengyi Tu , Samir Suweis , Jacopo Grillib , Marco Formentin , Amos Maritan

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-21 Chengyi Tu , Samir Suweis , Jacopo Grilli , Marco Formentin , Amos Maritan

What determines biodiversity in nature is a prominent issue in ecology, especially in biotic resource systems that are typically devoid of cross-feeding. Here, we show that by incorporating pairwise encounters among consumer individuals…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Xin Wang

Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

Analysis of PDEs · Mathematics 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

We discuss the relevance of studying ecology within the framework of Complexity Science from a statistical mechanics approach. Ecology is concerned with understanding how systems level properties emerge out of the multitude of interactions…

Populations and Evolution · Quantitative Biology 2007-09-14 Henrik Jeldtoft Jensen , Elsa Arcaute

Traditionally, frequency dependent evolutionary dynamics is described by deterministic replicator dynamics assuming implicitly infinite population sizes. Only recently have stochastic processes been introduced to study evolutionary dynamics…

Statistical Mechanics · Physics 2007-05-23 Arne Traulsen , Jens Christian Claussen , Christoph Hauert

Scaling laws in ecology, intended both as functional relationships among ecologically-relevant quantities and the probability distributions that characterize their occurrence, have long attracted the interest of empiricists and…

Populations and Evolution · Quantitative Biology 2017-10-19 Silvia Zaoli , Andrea Giometto , Amos Maritan , Andrea Rinaldo

The purpose of this roadmap article is to draw attention to a paradigm shift in our understanding of evolution towards a perspective of ecological-evolutionary feedback, highlighted through two recent highly simplified examples of rapid…

Populations and Evolution · Quantitative Biology 2019-11-12 Hong-Yan Shih , Nigel Goldenfeld

Until recently, much of the microbial world was hidden from view. A global research effort has changed this, unveiling and quantifying microbial diversity across enormous range of critically-important contexts, from the human microbiome, to…

Populations and Evolution · Quantitative Biology 2017-10-26 Alice Doucet-Beaupré , James P. O'Dwyer

Biological approximations, which are universal for diverse species, are well known. With no other experimental data, their invariance to transformations from one species to another yields exact conservation (with respect to biological…

Statistical Mechanics · Physics 2007-05-23 Mark Ya. Azbel'

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

The current rate of species extinction is rapidly approaching unprecedented highs and life on Earth presently faces a sixth mass extinction event driven by anthropogenic activity, climate change and ecological collapse. The field of…

Populations and Evolution · Quantitative Biology 2022-10-12 João C Teixeira , Christian D Huber

The theory of life history evolution provides a powerful framework to understand the evolutionary dynamics of pathogens in both epidemic and endemic situations. This framework, however, relies on the assumption that pathogen populations are…

Populations and Evolution · Quantitative Biology 2017-11-28 Todd Parsons , Amaury Lambert , Troy Day , Sylvain Gandon