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Models of invasive species spread often assume that landscapes are spatially homogeneous; thus simplifying analysis but potentially reducing accuracy. We extend a recently developed partial differential equation model for invasive conifer…

种群与进化 · 定量生物学 2023-09-14 Elliott Hughes , Miguel Moyers-Gonzalez , Rua Murray , Phillip L. Wilson

Scale-free foraging patterns are widespread among animals. These may be the outcome of an optimal searching strategy to find scarce randomly distributed resources, but a less explored alternative is that this behaviour may result from the…

In contrast to the neutral population cycles of the deterministic mean-field Lotka--Volterra rate equations, including spatial structure and stochastic noise in models for predator-prey interactions yields complex spatio-temporal structures…

种群与进化 · 定量生物学 2013-10-16 Ulrich Dobramysl , Uwe C. Tauber

We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

种群与进化 · 定量生物学 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

Animals foraging alone are hypothesized to optimize the encounter rates with resources through L\'evy walks. However, the issue of how the interactions between multiple foragers influence their search efficiency is still not completely…

生物物理 · 物理学 2013-11-12 Kunal Bhattacharya , Tamás Vicsek

Models of the spatial distribution of animals provide useful tools to help ecologists quantify species-environment relationships, and they are increasingly being used to help determine the impacts of climate and habitat changes on species.…

统计方法学 · 统计学 2020-09-04 Joe Watson , Ruth Joy , Dominic Tollit , Sheila J Thornton , Marie Auger-Méthé

We present a spatial, individual-based predator-prey model in which dispersal is dependent on the local community. We determine species suitability to the biotic conditions of their local environment through a time and space varying fitness…

种群与进化 · 定量生物学 2008-07-21 Elise Filotas , Martin Grant , Lael Parrott , Per Arne Rikvold

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…

Predicting species distributions using occupancy models accounting for imperfect detection is now commonplace in ecology. Recently, modelling spatial and temporal autocorrelation was proposed to alleviate the lack of replication in…

应用统计 · 统计学 2025-10-10 André Luís Luza , Didier Alard , Frédéric Barraquand

A discrete-time model of reacting evolving fields, transported by a bidimensional chaotic fluid flow, is studied. Our approach is based on the use of a Lagrangian scheme where {\it fluid particles} are advected by a $2d$ symplectic map…

混沌动力学 · 物理学 2019-08-17 Cristobal Lopez , Emilio Hernandez-Garcia , Oreste Piro , Angelo Vulpiani , Enrico Zambianchi

Decisions to disperse from a habitat stand out among organismal behaviors as pivotal drivers of ecosystem dynamics across scales. Encounters with other species are an important component of adaptive decision-making in dispersal, resulting…

种群与进化 · 定量生物学 2024-03-21 Patrick Lawton , Ashkaan K. Fahimipour , Kurt E. Anderson

Dispersal is an important strategy that allows organisms to locate and exploit favorable habitats. The question arises: given competition in a spatially heterogeneous landscape, what is the optimal rate of dispersal? Continuous population…

种群与进化 · 定量生物学 2010-02-05 Jack N. Waddell , Leonard M. Sander , Charles R. Doering

The statistics of Lagrangian pair dispersion in a homogeneous isotropic flow is investigated by means of direct numerical simulations. The focus is on deviations from Richardson eddy-diffusivity model and in particular on the strong…

流体动力学 · 物理学 2015-06-11 Rehab Bitane , Holger Homann , Jeremie Bec

Classical models of biological invasions assess species spread in homogeneous landscapes by assuming constant growth rates and random local movement. Mounting evidence suggests, however, that demographic stochasticity, environmental…

种群与进化 · 定量生物学 2016-03-01 Andrea Giometto , Florian Altermatt , Andrea Rinaldo

1. The utilisation distribution describes the relative probability of use of a spatial unit by an animal. It is natural to think of it as the long-term consequence of the animal's short-term movement decisions: it is the accumulation of…

应用统计 · 统计学 2018-10-25 Théo Michelot , Marie-Pierre Etienne , Pierre Gloaguen

Abundance estimates from animal point-count surveys require accurate estimates of detection probabilities. The standard model for estimating detection from removal-sampled point-count surveys assumes that organisms at a survey site are…

种群与进化 · 定量生物学 2019-04-09 Adam Martin-Schwarze , Jarad Niemi , Philip Dixon

A deeper understanding of the processes underlying the distribution of animals in space is crucial for both basic and applied ecology. The Common buzzard (Buteo buteo) is a highly aggressive, territorial bird of prey that interacts strongly…

Enhancement of the predictive power and robustness of nonlinear population dynamics models allows ecologists to make more reliable forecasts about species' long term survival. However, the limited availability of detailed ecological data,…

斑图形成与孤子 · 物理学 2025-04-18 Indrajyoti Gaine , Malay Banerjee

Eco-evolutionary frameworks can explain certain features of communities in which ecological and evolutionary processes occur over comparable timescales. Here, we investigate whether an evolutionary dynamics may interact with the spatial…

种群与进化 · 定量生物学 2019-12-04 Eduardo H. Colombo , Ricardo Martínez-García , Cristóbal , López , Emilio Hernández-García

We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the…

种群与进化 · 定量生物学 2011-12-20 Mauro Mobilia , Ivan T. Georgiev , Uwe C. Tauber
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