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We present a model for evolution and extinction in large ecosystems. The model incorporates the effects of interactions between species and the influences of abiotic environmental factors. We study the properties of the model by approximate…

adap-org · Physics 2008-02-03 Bruce W. Roberts , M. E. J. Newman

Mutualistic networks are formed when the interactions between two classes of species are mutually beneficial. They are important examples of cooperation shaped by evolution. Mutualism between animals and plants plays a key role in the…

Populations and Evolution · Quantitative Biology 2013-08-23 Samir Suweis , Filippo Simini , Jayanth R. Banavar , Amos Maritan

Phenotypically structured equations arise in population biology to describe the interaction of species with their environment that brings the nutrients. This interaction usually leads to selection of the fittest individuals. Models used in…

Analysis of PDEs · Mathematics 2015-06-18 Alexander Lorz , Benoit Perthame

Previous work has shown that species interacting in an ecosystem and actors transacting in an economic context may have notable similarities in behavior. However, the specific mechanism that may underlie similarities in nature and human…

Physics and Society · Physics 2011-10-04 Serguei Saavedra , Felix Reed-Tsochas , Brian Uzzi

1. Joint Species Distribution models (JSDMs) explain spatial variation in community composition by contributions of the environment, biotic associations, and possibly spatially structured residual covariance. They show great promise as a…

Quantitative Methods · Quantitative Biology 2023-03-28 Maximilian Pichler , Florian Hartig

Climate models play a crucial role in understanding the effect of environmental and man-made changes on climate to help mitigate climate risks and inform governmental decisions. Large global climate models such as the Community Earth System…

Applications · Statistics 2020-12-02 Niccolò Dalmasso , Galen Vincent , Dorit Hammerling , Ann B. Lee

The hierarchical system of forest ecosystem models based on the theory of individual-based (structured) models of populations and communities is briefly described. New self-thinning models are integrated with tree stand models within a…

Populations and Evolution · Quantitative Biology 2007-05-23 Georgy P. Karev

We present numerical results based on a simplified ecological system in evolution, showing features of extinction similar to that claimed for the biosystem on Earth. In the model each species consists of a population in interaction with the…

adap-org · Physics 2009-10-28 Guillermo Abramson

Several theoretical models predict that spatial patterning increases ecosystem resilience. However, these predictions rely on simplifying assumptions, such as assuming isotropic and infinitely large ecosystems, and empirical evidence…

Populations and Evolution · Quantitative Biology 2026-04-06 David Pinto-Ramos , Ricardo Martinez-Garcia

We consider the challenges that arise when fitting complex ecological models to 'large' data sets. In particular, we focus on random effect models which are commonly used to describe individual heterogeneity, often present in ecological…

Methodology · Statistics 2022-05-17 Ruth King , Blanca Sarzo , Víctor Elvira

In ecology, the description of species composition and biodiversity calls for statistical methods that involve estimating features of interest in unobserved samples based on an observed one. In the last decade, the Bayesian nonparametrics…

Methodology · Statistics 2026-04-28 Alessandro Colombi , Raffaele Argiento , Federico Camerlenghi , Lucia Paci

A fundamental challenge in developing data-driven approaches to ecological systems for tasks such as state estimation and prediction is the paucity of the observational or measurement data. For example, modern machine-learning techniques…

Quantitative Methods · Quantitative Biology 2024-10-11 Zheng-Meng Zhai , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

Spatial structure and species interactions jointly shape the dynamics and biodiversity of ecological systems, yet most theoretical models either neglect spatial heterogeneity or sacrifice analytical tractability. Here, we provide a unified…

Populations and Evolution · Quantitative Biology 2026-05-08 Davide Bernardi , Alice Doimo , Giorgio Nicoletti , Prajwal Padmanabha , Andrea Rinaldo , Samir Suweis , Sandro Azaele , Amos Maritan

Surveys of microbial biodiversity such as the Earth Microbiome Project (EMP) and the Human Microbiome Project (HMP) have revealed robust ecological patterns across different environments. A major goal in ecology is to leverage these…

Populations and Evolution · Quantitative Biology 2020-03-05 Robert Marsland , Wenping Cui , Pankaj Mehta

Self-organized spatial patterns of vegetation are frequent in drylands and, because pattern shape correlates with water availability, they have been suggested as important indicators of ecosystem health. However, the mechanisms underlying…

Vegetation patterns are abundant in arid and semiarid ecosystems, but how they form remains unclear. One of the most extended theories lies in the existence of scale-dependent feedbacks (SDF) in plant-to-plant and plant-water interactions.…

Populations and Evolution · Quantitative Biology 2018-01-08 Ricardo Martinez-Garcia , Cristobal Lopez

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional methods frequently struggle with the inherent complexity,…

Machine Learning · Computer Science 2025-03-06 Runlong Yu , Shengyu Chen , Yiqun Xie , Xiaowei Jia

Mass extinction is a phenomenon in the history of life on Earth when a considerable number of species go extinct over a relatively short period of time. The magnitude of extinction varies between the events, the most well known are the…

Adaptation and Self-Organizing Systems · Physics 2022-08-29 Amer Alsulami , Sergei Petrovskii

Constraints placed upon the phenotypes of organisms result from their interactions with the environment. Over evolutionary timescales, these constraints feed back onto smaller molecular subnetworks comprising the organism. The evolution of…

Molecular Networks · Quantitative Biology 2015-06-10 Cameron Smith , Ximo Pechuan , Raymond S. Puzio , Daniel Biro , Aviv Bergman

We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

Statistical Mechanics · Physics 2015-07-08 Ricardo Martínez-García , Clara Murgui , Emilio Hernández-García , Cristóbal López
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