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We perform individual-based Monte Carlo simulations in a community consisting of two predator species competing for a single prey species, with the purpose of studying biodiversity stabilization in this simple model system. Predators are…

Populations and Evolution · Quantitative Biology 2018-07-11 Sheng Chen , Ulrich Dobramysl , Uwe C. Täuber

A fundamental problem in statistics is to compare the outcomes attained by members of subpopulations. This problem arises in the analysis of randomized controlled trials, in the analysis of A/B tests, and in the assessment of fairness and…

Methodology · Statistics 2021-12-02 Mark Tygert

We suggest a novel approach to treating symbiotic relations between biological species or social entities. The main idea is the characterisation of symbiotic relations of coexisting species through their mutual influence on their respective…

Populations and Evolution · Quantitative Biology 2015-06-22 V. I. Yukalov , E. P. Yukalova , D. Sornette

We study the adaptive dynamics of predator-prey systems modeled by a dynamical system in which the traits of predators and prey are allowed to evolve by small mutations. When only the prey are allowed to evolve, and the size of the…

Probability · Mathematics 2015-03-13 Rick Durrett , John Mayberry

Using a set of heterogeneous competing systems with intra-system cooperation and inter-system aggression, we show how the coevolution of the system parameters (degree of organization and conditions for aggression) depends on the rate of…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jose M. Albornoz , Antonio Parravano

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

The comprehension of how local interactions arise in global collective behavior is of utmost importance in both biological and physical research. Traditional agent-based models often rely on static rules that fail to capture the dynamic…

Populations and Evolution · Quantitative Biology 2023-08-25 Jianan Li , Liang Li , Shiyu Zhao

We use interacting particle systems to investigate survival and extinction of a species with colonies located on each site of $\mathbb {Z}^d$. In each of the four models studied, an individual in a local population can reproduce, die or…

Probability · Mathematics 2012-05-15 Davide Borrello

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

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

Probability · Mathematics 2020-12-29 Lea Popovic , Liam Peuckert

It is well-known that interactions between species determine the population composition in an ecosystem. Conventional studies have focused on fixed population structures to reveal how interactions shape population compositions. However,…

Populations and Evolution · Quantitative Biology 2023-06-28 Youngjai Park , Takashi Shimada , Seung-Woo Son , Hye Jin Park

We live in a time where climate models predict future increases in environmental variability and biological invasions are becoming increasingly frequent. A key to developing effective responses to biological invasions in increasingly…

Populations and Evolution · Quantitative Biology 2015-12-16 Sebastian J. Schreiber , Maureen E. Ryan

The storage effect is a well-known explanation for coexistence in temporally varying environments. Like many complex ecological theories, the storage effect is often used as an explanation for observed coexistence on the basis of heuristic…

Populations and Evolution · Quantitative Biology 2023-01-13 Evan C. Johnson , Oscar Godoy , Alan Hastings

Microbial populations generally evolve in volatile environments, under conditions fluctuating between harsh and mild, e.g. as the result of sudden changes in toxin concentration or nutrient abundance. Environmental variability thus shapes…

Populations and Evolution · Quantitative Biology 2023-12-07 Matthew Asker , Lluís Hernández-Navarro , Alastair M. Rucklidge , Mauro Mobilia

Given a collection of Boolean spatial feature types, their instances, a neighborhood relation (e.g., proximity), and a hierarchical taxonomy of the feature types, the goal is to find the subsets of feature types or their parents whose…

Information Retrieval · Computer Science 2024-07-08 Subhankar Ghosh , Arun Sharma , Jayant Gupta , Shashi Shekhar

The storage effect is a general explanation for coexistence in a variable environment. The generality of the storage effect is both a strength - it can be quantified in many systems - and a challenge - there is not a clear relationship…

Populations and Evolution · Quantitative Biology 2022-01-19 Evan Johnson , Alan Hastings

In this paper, we explain the reasons behind constraint interaction, which is the phenomenon that the results of testing equality constraints may depend heavily on the scaling method used. We find that the scaling methods interfere with the…

Methodology · Statistics 2018-05-01 Stefan Klößner , Eric Klopp

Intransitivity is a property of connected, oriented graphs representing species interactions that may drive their coexistence even in the presence of competition, the standard example being the three species Rock-Paper-Scissors game. We…

Populations and Evolution · Quantitative Biology 2013-02-19 Alessandra F. Lütz , Sebastián Risau-Gusman , Jeferson J. Arenzon

Models of coordinated behavior of populations living in the same environment are introduced for the cases when they either compete with each other, or they both gain by mutual interactions, or finally when one hunts the other one. The…

Dynamical Systems · Mathematics 2014-03-19 D. Melchionda , E. Pastacaldi , C. Perri , E. Venturino

Determining spatial distributions of species and communities are key objectives of ecology and conservation. Joint species distribution models use multi-species detection-nondetection data to estimate species and community distributions.…

Applications · Statistics 2022-12-15 Jeffrey W. Doser , Andrew O. Finley , Sudipto Banerjee