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The minimal ecological requirements for formation of regular vegetation patterns in semiarid systems have been recently questioned. Against the general belief that a combination of facilitative and competitive interactions is necessary,…

Populations and Evolution · Quantitative Biology 2014-09-24 Ricardo Martinez-Garcia , Justin M. Calabrese , E. Hernandez-Garcia , C. Lopez

Many organisms live in populations structured by space and by class, exhibit plastic responses to their social partners, and are subject to non-additive ecological and fitness effects. Social evolution theory has long recognized that all of…

Populations and Evolution · Quantitative Biology 2014-04-24 Jeremy Van Cleve , Erol Akçay

We make the first steps towards generalizing the theory of stochastic block models, in the sparse regime, towards a model where the discrete community structure is replaced by an underlying geometry. We consider a geometric random graph…

Machine Learning · Statistics 2022-07-04 Ronen Eldan , Dan Mikulincer , Hester Pieters

We investigate the complex spatiotemporal dynamics of an ecological network with species dispersal mediated via a mean-field coupling. The local dynamics of the network are governed by the Truscott--Brindley model, which is an important…

Adaptation and Self-Organizing Systems · Physics 2017-09-13 Ramesh Arumugam , Tanmoy Banerjee , Partha Sharathi Dutta

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

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

The spatial dispersal of individuals is known to play an important role in the dynamics of populations, and is central to metapopulation theory. At the same time, local adaptation to environmental conditions creates a geographic mosaic of…

Populations and Evolution · Quantitative Biology 2017-09-25 Justin D. Yeakel , Jean P. Gibert , Peter A. H. Westley , Jonathan W. Moore

Ecological studies have now gone beyond measures of species turnover towards measures of phylogenetic and functional dissimilarity with a main objective: disentangling the processes that drive species distributions from local to broad…

Populations and Evolution · Quantitative Biology 2018-06-26 Sandrine Pavoine

Much effort has gone into understanding the modular nature of complex networks. Communities, also known as clusters or modules, are typically considered to be densely interconnected groups of nodes that are only sparsely connected to other…

Physics and Society · Physics 2012-06-26 James P. Bagrow

In a geographically distributed population, assortative clustering plays an important role in evolution by modifying local environments. To examine its effects in a linear habitat, we consider a one-dimensional grid of cells, where each…

Populations and Evolution · Quantitative Biology 2021-03-16 Sunhee Chae , Nahyeon Lee , Seung Ki Baek , Hyeong-Chai Jeong

Percolation offers acknowledged models of random media when the relevant medium characteristics can be described as a binary feature. However, when considering habitat modeling in ecology, a natural constraint comes from nearest-neighbor…

Populations and Evolution · Quantitative Biology 2015-06-23 G. Huth , A. Lesne , F. Munoz , E. Pitard

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

Biological evolution can be conceptualized as a search process in the space of gene sequences guided by the fitness landscape, a mapping that assigns a measure of reproductive value to each genotype. Here we discuss probabilistic models of…

Populations and Evolution · Quantitative Biology 2024-04-10 Joachim Krug , Daniel Oros

In order to understand the role of space in ecological communities where each species produces a certain type of resource and has varying abilities to exploit the resources produced by its own species and by the other species, we carry out…

Dynamical Systems · Mathematics 2011-02-14 Yun Kang , Nicolas Lanchier

Tree-grass coexistence in savanna ecosystems depends strongly on environmental disturbances out of which crucial is fire. Most modeling attempts in the literature lack stochastic approach to fire occurrences which is essential to reflect…

Probability · Mathematics 2018-11-20 Paweł Klimasara , Marta Tyran-Kamińska

Ensembles of coupled nonlinear oscillators are a popular paradigm and an ideal benchmark for analyzing complex collective behaviors. The onset of cluster synchronization is found to be at the core of various technological and biological…

Adaptation and Self-Organizing Systems · Physics 2024-03-29 Sayantan Nag Chowdhury , Md Sayeed Anwar , Dibakar Ghosh

The role of forest heterogeneity in the long-term, large-scale dynamics of forest fires is investigated by means of a cellular automata model and mean field approximation. Heterogeneity was conceived as trees (or acres of forest) with…

Statistical Mechanics · Physics 2011-08-04 G. Camelo-Neto , S. Coutinho

Ecosystems, which are intricate amalgams of biological communities and their surrounding environments, continually evolve under the influence of their myriad interactions. The world is currently facing intensifying environmental…

Biological Physics · Physics 2023-11-23 Ikumi Kobayashi

Since they became observable, neuron morphologies have been informally compared with biological trees but they are studied by distinct communities, neuroscientists, and ecologists. The apparent structural similarity suggests there may be…

Neurons and Cognition · Quantitative Biology 2023-07-06 Roozbeh Farhoodi , Phil Wilkes , Anirudh M. Natarajan , Samantha Ing-Esteves , Julie L. Lefebvre , Mathias Disney , Konrad P. Kording

Let $F(N,m)$ denote a random forest on a set of $N$ vertices, chosen uniformly from all forests with $m$ edges. Let $F(N,p)$ denote the forest obtained by conditioning the Erdos-Renyi graph $G(N,p)$ to be acyclic. We describe scaling limits…

Probability · Mathematics 2018-07-04 James Martin , Dominic Yeo
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