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A five-species predator-prey model is studied on a square lattice where each species has two prey and two predators on the analogy to the Rock-Paper-Scissors-Lizard-Spock game. The evolution of the spatial distribution of species is…

Populations and Evolution · Quantitative Biology 2013-08-19 Jeromos Vukov , Attila Szolnoki , György Szabó

This is the first of two papers where we discuss the limits imposed by competition to the biodiversity of species communities. In this first paper we study the coexistence of competing species at the fixed point of population dynamic…

Populations and Evolution · Quantitative Biology 2007-05-23 Ugo Bastolla , Michael Lässig , Susanna C. Manrubia , Angelo Valleriani

We study the evolution of the network properties of a populated network embedded in a genotype space characterised by either a low or a high number of potential links, with particular emphasis on the connectivity and clustering. Evolution…

Statistical Mechanics · Physics 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen

Citizen science biodiversity data present great opportunities for ecology and conservation across vast spatial and temporal scales. However, the opportunistic nature of these data lacks the sampling structure required by modeling…

Machine Learning · Computer Science 2025-04-15 Nahian Ahmed , Mark Roth , Tyler A. Hallman , W. Douglas Robinson , Rebecca A. Hutchinson

Risk assessment for rare events is essential for understanding systemic stability in complex systems. As rare events are typically highly correlated, it is important to study heavy-tailed multivariate distributions of the relevant…

Statistical Finance · Quantitative Finance 2025-12-02 Efstratios Manolakis , Anton J. Heckens , Benjamin Köhler , Thomas Guhr

The architecture of bipartite networks linking two classes of constituents is affected by the interactions within each class. For the bipartite networks representing the mutualistic relationship between pollinating animals and plants, it…

Populations and Evolution · Quantitative Biology 2012-03-13 Seong Eun Maeng , Jae Woo Lee , Deok-Sun Lee

Understanding how species are distributed across landscapes over time is a fundamental question in biodiversity research. Unfortunately, most species distribution models only target a single species at a time, despite strong ecological…

Machine Learning · Computer Science 2017-02-22 Di Chen , Yexiang Xue , Shuo Chen , Daniel Fink , Carla Gomes

A dynamical model of an ecological community is analyzed within a "mean-field approximation" in which one of the species interacts with the combination of all of the other species in the community. Within this approximation the model may be…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Alan McKane , David Alonso , Ricard V. Sole

Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance…

Accurate biodiversity monitoring is essential for effective environmental policy, yet current practices often rely on arbitrarily defined ecosystems, communities, and ad-hoc indicator species, limiting cost-efficiency and reproducibility.…

Applications · Statistics 2025-12-02 Braden Scherting , Otso Ovaskainen , Tomas Roslin , David B. Dunson

Coextinction models are useful to understand community robustness to species loss and resilience to disturbances. We simulated pollinator extinctions in pollination networks by using a hybrid model that combined a recently developed…

Populations and Evolution · Quantitative Biology 2017-09-12 A Traveset , C Tur , VM Eguíluz

Integrated population models (IPMs) combine multiple ecological data types such as capture-mark-recapture histories, reproduction surveys, and population counts into a single statistical framework. In such models, each data type is…

Populations and Evolution · Quantitative Biology 2024-11-05 Frédéric Barraquand

Mutualistic networks have attracted increasing attention in the ecological literature in the last decades as they play a key role in the maintenance of biodiversity. Here, we develop an analytical framework to study the structural stability…

Physics and Society · Physics 2021-02-05 Xiangrong Wang , Thomas Peron , Johan L. A. Dubbeldam , Sonia Kèfi , Yamir Moreno

A reparametrized Dirichlet-multinomial distribution is introduced, and the covariance matrix, as well as, the algorithm for calculating the PDF for n species are provided. The distribution is suited for modelling the joint distribution of…

Populations and Evolution · Quantitative Biology 2020-03-04 Christian Damgaard

The adaptation of biological species to their environment depends on their traits. When various biological processes occur (survival, reproduction, migration, etc.), the trait distribution may change with respect to time and space. In the…

Analysis of PDEs · Mathematics 2021-05-07 Léonard Dekens , Florian Lavigne

We study the statistics of ecosystems with a variable number of co-evolving species. The species interact in two ways: by prey-predator relationships and by direct competition with similar kinds. The interaction coefficients change slowly…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Michael Lassig , Ugo Bastolla , Susanna C. Manrubia , Angelo Valleriani

Open-source biodiversity databases contain a large amount of species occurrence records, but these are often spatially biased, which affects the reliability of species distribution models based on these records. Sample bias correction…

Community ecology has traditionally relied on the competitive exclusion principle, a piece of common wisdom in conceptual frameworks developed to describe species assemblages. Key concepts in community ecology, such as limiting similarity…

Populations and Evolution · Quantitative Biology 2016-08-15 Jose A. Capitan , Sara Cuenda , David Alonso

Biogeographical regions (geographically distinct assemblages of species and communities) constitute a cornerstone for ecology, biogeography, evolution and conservation biology. Species turnover measures are often used to quantify…

Quantitative Methods · Quantitative Biology 2015-08-19 Daril A. Vilhena , Alexandre Antonelli

We introduce a mathematical model of symbiosis between different species by taking into account the influence of each species on the carrying capacities of the others. The modeled entities can pertain to biological and ecological societies…

Biological Physics · Physics 2012-06-06 V. I. Yukalov , E. P. Yukalova , D. Sornette