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We study how environmental stochasticity influences the long-term population size in certain one- and two-species models. The difficulty is that even when one can prove that there is persistence, it is usually impossible to say anything…

Populations and Evolution · Quantitative Biology 2025-07-15 Alexandru Hening , Siddharth Sabharwal

Understanding the influence of an environment on the evolution of its resident population is a major challenge in evolutionary biology. Great progress has been made in homogeneous population structures while heterogeneous structures have…

Populations and Evolution · Quantitative Biology 2014-07-30 Wes Maciejewski , Gregory J. Puleo

Individuals within any species exhibit differences in size, developmental state, or spatial location. These differences coupled with environmental fluctuations in demographic rates can have subtle effects on population persistence and…

Populations and Evolution · Quantitative Biology 2015-12-16 Gregory Roth , Sebastian J. Schreiber

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

Positive density-dependence occurs when individuals experience increased survivorship, growth, or reproduction with increased population densities. Mechanisms leading to these positive relationships include mate limitation, saturating…

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

Competition between individuals drives the evolution of whole species. Although the fittest individuals survive the longest and produce the most offspring, in some circumstances the resulting species may not be optimally fit. Here, using…

Populations and Evolution · Quantitative Biology 2015-09-24 Tim Rogers , Alan J. McKane

The present view of biological phenomena is based on a biochemical paradigm that development of living organisms is defined by information stored in a molecular form as some genetic code. However, new discoveries indicate that biological…

Other Quantitative Biology · Quantitative Biology 2023-11-14 Yuri K. Shestopaloff

Bacterial populations in natural conditions are expected to experience stochastic environmental fluctuations, and in addition, environments are affected by bacterial activities since they consume substrates and excrete various chemicals. We…

Populations and Evolution · Quantitative Biology 2020-04-01 Yusuke Himeoka , Namiko Mitarai

We present a new stochastic model, based on a 0-dimensional version of the well known biogeochemical flux model (BFM), which allows to take into account the temperature random fluctuations present in natural systems and therefore to…

Statistical Mechanics · Physics 2021-12-20 Paolo Lazzari , Roberto Grimaudo , Cosimo Solidoro , Davide Valenti

The scarcity of water characterising drylands forces vegetation to adopt appropriate survival strategies. Some of these generate water-vegetation feedback mechanisms that can lead to spatial self-organisation of vegetation, as it has been…

Biological Physics · Physics 2013-08-30 John Realpe-Gomez , Mara Baudena , Tobias Galla , Alan J. McKane , Max Rietkerk

We present an individual based model of evolutionary ecology. The reproduction rate of individuals characterized by their genome depends on the composition of the population in genotype space. Ecological features such as the taxonomy and…

Statistical Mechanics · Physics 2016-08-31 Matt Hall , Kim Christensen , Simone A. di Collobiano , Henrik Jeldtoft Jensen

Population structure induced by both spatial embedding and more general networks of interaction, such as model social networks, have been shown to have a fundamental effect on the dynamics and outcome of evolutionary games. These effects…

Populations and Evolution · Quantitative Biology 2009-11-13 Gergely J Szollosi , Imre Derenyi

Aquaculture has been the fastest growing food production sector globally due to its potential to improve food security, stimulate economic growth, and reduce poverty. Its rapid development has been linked to sustainability challenges, many…

Populations and Evolution · Quantitative Biology 2025-02-27 Sonja Radosavljevic , Ezio Venturino , Francesca Acotto , Quanli Wang , Jie Su , Alexandros Gasparatos

The role of species interactions in controlling the interplay between the stability of an ecosystem and its biodiversity is still not well understood. The ability of ecological communities to recover after a small perturbation of the…

Populations and Evolution · Quantitative Biology 2016-06-15 Jacopo Grilli , Matteo Adorisio , Samir Suweis , György Barabás , Jayanth R. Banavar , Stefano Allesina , Amos Maritan

Food webs are networks describing who is eating whom in an ecological community. By now it is clear that many aspects of food-web structure are reproducible across diverse habitats, yet little is known about the driving force behind this…

Populations and Evolution · Quantitative Biology 2007-05-23 A. G. Rossberg , H. Matsuda , T. Amemiya , K. Itoh

A great number of biological organisms live in aqueous environments. Major evolutionary transitions, including the emergence of life itself, likely occurred in such environments. While the chemical aspects of the role of water in biology…

Populations and Evolution · Quantitative Biology 2020-07-01 Madison S. Krieger , Sam Sinai , Martin A. Nowak

Ecological systems show a variety of characteristic patterns of biodiversity in space and time. It is a challenge for theory to find models that can reproduce and explain the observed patterns. Since the advent of island biogeography these…

Populations and Evolution · Quantitative Biology 2019-10-21 Michaela Hamm , Barbara Drossel

Human population is at the centre of research on global environmental change. On the one hand, population dynamics influence the environment and the global climate system through consumption-based carbon emissions. On the other hand, health…

Other Statistics · Statistics 2021-02-02 Raya Muttarak

The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology, i.e. in cancer evolution. These dynamics play an important…

Analysis of PDEs · Mathematics 2026-01-21 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

1. Anthropogenic actions cause rapid ecological changes, meaning that animals have to respond before they have time to adapt. Tools to quantify emergent spatial patterns from animal-habitat interaction mechanisms are vital for predicting…

Populations and Evolution · Quantitative Biology 2015-01-06 Jonathan R. Potts , Karl Mokross , Philip C Stouffer , Mark A. Lewis