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Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

Machine Learning · Computer Science 2013-01-18 Amos J. Storkey

This thesis focuses on the applications of mathematical tools and concepts brought from nonequilibrium statistical physics to the modeling of ecological problems. The first part provides a short introduction where the theoretical concepts…

Populations and Evolution · Quantitative Biology 2017-01-12 Ricardo Martinez-Garcia

A class of models for large-scale evolution and mass extinctions is presented. These models incorporate environmental changes on all scales, from influences on a single species to global effects. This is a step towards a unified picture of…

adap-org · Physics 2007-05-23 C. Wilke , S. Altmeyer , T. Martinetz

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

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

Physics and Society · Physics 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

In-depth studies of sociotechnical systems are largely limited to single instances. Network surveys are expensive, and platforms vary in important ways, from interface design, to social norms, to historical contingencies. With single…

Social and Information Networks · Computer Science 2018-11-06 Abigail Z. Jacobs

We present a stochastic approach to modeling the dynamics of coexistence of prey and predator populations. It is assumed that the space of coexistence is explicitly subdivided in a grid of cells. Each cell can be occupied by only one…

Populations and Evolution · Quantitative Biology 2015-06-26 Kelly C. de Carvalho , Tania Tome

We develop an theoretical approach for predicting biodiversity in multi-dimensional niche spaces, arising due to ecological drivers such as competitive exclusion. The novelty of our approach relies on the fact that ecological niches are…

Populations and Evolution · Quantitative Biology 2015-06-11 Tommaso Biancalani , Lee DeVille , Nigel Goldenfeld

We consider a nonlinear coupled discrete-time model of population dynamics. This model describes the movement of populations within a heterogeneous landscape, where the growth of subpopulations are modelled by (possibly different) bounded…

Dynamical Systems · Mathematics 2024-05-08 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

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

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

Understanding how species persist under interacting stressors is a central challenge in ecology. We develop a spatially explicit reaction-diffusion framework to investigate competing species in landscapes shaped by climate variability,…

Populations and Evolution · Quantitative Biology 2026-02-02 Ton Viet Ta

This paper presents a new approach to behavioral-social dynamics of human crowds. First order models are derived based on mass conservation at the macroscopic scale, while methods of the kinetic theory are used to model the decisional…

Physics and Society · Physics 2015-01-14 Nicola Bellomo , Stefano Berrone , Livio Gibelli , Alexandre Pieri

Identifying undocumented or potential future interactions among species is a challenge facing modern ecologists. Recent link prediction methods rely on trait data, however large species interaction databases are typically sparse and…

Applications · Statistics 2019-09-23 Mohamad Elmasri , Maxwell J. Farrell , T. Jonathan Davies , David A. Stephens

Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in…

Populations and Evolution · Quantitative Biology 2020-04-03 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

1. Theoretical models pertaining to feedbacks between ecological and evolutionary processes are prevalent in multiple biological fields. An integrative overview is currently lacking, due to little crosstalk between the fields and the use of…

Populations of isogenic embryonic stem cells or clonal bacteria often exhibit extensive phenotypic heterogeneity which arises from stochastic intrinsic dynamics of cells. The internal state of the cell can be transmitted epigenetically in…

Populations and Evolution · Quantitative Biology 2016-02-17 Sahand Hormoz , Nicolas Desprat , Boris I. Shraiman

Local coexistence of species in large ecosystems is traditionally explained within the broad framework of niche theory. However, its rationale hardly justifies rich biodiversity observed in nearly homogeneous environments. Here we consider…

Populations and Evolution · Quantitative Biology 2021-11-17 Deepak Gupta , Stefano Garlaschi , Samir Suweis , Sandro Azaele , Amos Maritan

This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches linked by ecological corridors (hedges for instance).…

Probability · Mathematics 2021-09-15 Gauthier Delvoye , Olivier Goubet , Frédéric Paccaut

Many forest management planning decisions are based on information about the number of trees by species and diameter per unit area. This information is commonly summarized in a stand table, where a stand is defined as a group of forest…

Applications · Statistics 2014-11-04 Andrew O. Finley , Sudipto Banerjee , Aaron R. Weiskittel , Chad Babcock , Bruce D. Cook