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We study the influence of spatially varying reaction rates on a spatial stochastic two-species Lotka-Volterra lattice model for predator-prey interactions using two-dimensional Monte Carlo simulations. The effects of this quenched…

统计力学 · 物理学 2008-12-18 Ulrich Dobramysl , Uwe C. Tauber

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial…

种群与进化 · 定量生物学 2017-04-20 Camille Coron , Manon Costa , Hélène Leman , Charline Smadi

We propose a new model and estimation framework for spatiotemporal streamflow exceedances above a threshold that flexibly captures asymptotic dependence and independence in the tail of the distribution. We model streamflow using a mixture…

统计方法学 · 统计学 2026-02-19 Ryan Li , Emily C. Hector , Brian J. Reich , Reetam Majumder

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

种群与进化 · 定量生物学 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

Distance sampling is a widely used method for estimating wildlife population abundance. The fact that conventional distance sampling methods are partly design-based constrains the spatial resolution at which animal density can be estimated…

统计方法学 · 统计学 2017-06-23 Y. Yuan , F. E. Bachl , F. Lindgren , D. L. Brochers , J. B. Illian , S. T. Buckland , H. Rue , T. Gerrodette

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

概率论 · 数学 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

Ecologists often interpret variation in the spatial distribution of populations in terms of responses to environmental features, but disentangling the effects of individual variables can be difficult if latent effects and spatial and…

应用统计 · 统计学 2015-05-19 Alexandra M. Schmidt , Marco A. Rodríguez , Estelina S. Capistrano

We study the spatial pattern formation and emerging long range correlations in a model of three species coevolving in space and time according to stochastic contact rules. Analytical results for the pair correlation functions, based on a…

adap-org · 物理学 2009-10-28 Marek Grabowski , R. E. Camley

Stochastic, spatially extended models for predator-prey interaction display spatio-temporal structures that are not captured by the Lotka-Volterra mean-field rate equations. These spreading activity fronts reflect persistent correlations…

统计力学 · 物理学 2024-05-09 Uwe C. Täuber

The spread of invasive species can have far reaching environmental and ecological consequences. Understanding invasion spread patterns and the underlying process driving invasions are key to predicting and managing invasions. We combine a…

统计方法学 · 统计学 2018-10-12 Joshua Goldstein , Jaewoo Park , Murali Haran , Andrew Liebhold , Ottar N. Bjornstad

Having a precise knowledge of the dispersal ability of a population in a heterogeneous environment is of critical importance in agroecology and conservation biology as it can provide management tools to limit the effects of pests or to…

种群与进化 · 定量生物学 2015-03-19 L. Roques , E. Walker , P. Franck , S. Soubeyrand , E. K. Klein

As noninvasive sampling techniques for animal populations have become more popular, there has been increasing interest in the development of capture-recapture models that can accommodate both imperfect detection and misidentification of…

定量方法 · 定量生物学 2015-02-04 Brett T. McClintock , Larissa L. Bailey , Brian P. Dreher , William A. Link

Local interactions, when individuals meet, can regulate collective behavior. In a system without any central control, the rate of interaction may depend simply on how the individuals move around. But interactions could in turn influence…

生物物理 · 物理学 2017-10-05 Jacob D. Davidson , Deborah M. Gordon

Artificial ecosystems provide an additional experimental tool to support laboratory work, field work, and theoretical development in competitive exclusion research. A novel application of a spatiotemporal agent based model is presented…

种群与进化 · 定量生物学 2023-06-01 John C. Stevenson

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

Monitoring plant and animal populations is an important goal for both academic research and management of natural resources. Successful management of populations often depends on obtaining estimates of their mean or total over a region. The…

统计方法学 · 统计学 2014-10-14 Jay M. Ver Hoef , John K. Jansen

Determining spatial distributions of species and communities are key objectives of ecology and conservation. Joint species distribution models use multi-species detection-nondetection data to estimate species and community distributions.…

应用统计 · 统计学 2022-12-15 Jeffrey W. Doser , Andrew O. Finley , Sudipto Banerjee

In this paper, we propose a Spatial Robust Mixture Regression model to investigate the relationship between a response variable and a set of explanatory variables over the spatial domain, assuming that the relationships may exhibit complex…

统计方法学 · 统计学 2021-09-30 Wennan Chang , Pengtao Dang , Changlin Wan , Xiaoyu Lu , Yue Fang , Tong Zhao , Yong Zang , Bo Li , Chi Zhang , Sha Cao

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

We investigate the emergence of self-organised trails between two specific target areas in collective motion of social organisms by means of an agent-based model. We present numerical evidences that an increase in the efficiency of…

适应与自组织系统 · 物理学 2018-02-27 E. Brigatti , A. Hernández