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Metapopulation models are commonly used in ecology, evolution, and epidemiology. These models usually entail homogeneity assumptions within patches and study networks of migration between patches to generate insights into conservation of…

种群与进化 · 定量生物学 2025-06-06 Diepreye Ayabina , Hasan Sevil , Adam Kleczkowski , M. Gabriela M. Gomes

A class of multivariate mixed survival models for continuous and discrete time with a complex covariance structure is introduced in a context of quantitative genetic applications. The methods introduced can be used in many applications in…

应用统计 · 统计学 2014-05-06 Rafael Pimentel Maia , Per Madsen , Rodrigo Labouriau

The distributions of species lifetimes and species in space are related, since species with good local survival chances have more time to colonize new habitats and species inhabiting large areas have higher chances to survive local…

种群与进化 · 定量生物学 2019-02-18 Tobias Rogge , David Jones , Barbara Drossel , Korinna T. Allhoff

We use a stochastic metapopulation model to study the combined effects of seasonality and spatial heterogeneity on disease persistence. We find a pronounced effect of enhanced persistence associated with strong heterogeneity, intermediate…

种群与进化 · 定量生物学 2015-02-23 Ganna Rozhnova , Ana Nunes , Alan J. McKane

Spatial metapopulation models are fundamental to theoretical ecology, enabling to study how landscape structure influences global species dynamics. Traditional models, including recent generalizations, often rely on the deterministic limit…

种群与进化 · 定量生物学 2025-06-24 Alice Doimo , Giorgio Nicoletti , Davide Bernardi , Prajwal Padmanabha

The spatial structure of populations is a key element in the understanding of the large scale spreading of epidemics. Motivated by the recent empirical evidence on the heterogeneous properties of transportation and commuting patterns among…

种群与进化 · 定量生物学 2008-03-19 Vittoria Colizza , Alessandro Vespignani

Interevent times in temporal contact data from humans and animals typically obey heavy-tailed distributions, and this property impacts contagion and other dynamical processes on networks. We theoretically show that distributions of…

物理与社会 · 物理学 2022-02-08 Elohim Fonseca dos Reis , Naoki Masuda

Criticality has been proposed as a mechanism for the emergence of complexity, life, and computation, as it exhibits a balance between robustness and adaptability. In classic models of complex systems where structure and dynamics are…

We study a variant of Hanski's incidence function model that allows habitat patch characteristics to vary over time following a Markov process. The widely studied case where patches are classified as either suitable or unsuitable is…

概率论 · 数学 2016-09-15 R. McVinish , P. K. Pollett , Y. S. Chan

In this work we address the analysis of discrete-time models of structured metapopulations subject to environmental stochasticity. Previous works on these models made use of the fact that migrations between the patches can be considered…

种群与进化 · 定量生物学 2024-02-07 Luis Sanz , Rafael Bravo de la Parra

Heterogeneous data from multiple populations, sub-groups, or sources is often represented as a ``mixture model'' with a single latent class influencing all of the observed covariates. Heterogeneity can be resolved at multiple levels by…

机器学习 · 计算机科学 2024-12-16 Bijan Mazaheri , Chandler Squires , Caroline Uhler

This article is concerned with a version of the contact process with sexual reproduction on a graph with two levels of interactions modeling metapopulations. The population is spatially distributed into patches and offspring are produced in…

概率论 · 数学 2013-07-26 Nicolas Lanchier

We analyse metapopulation dynamics in terms of an individual-based, stochastic model of a finite metapopulation. We suggest a new approach, using the number of patches in the population as a large parameter. This approach does not require…

种群与进化 · 定量生物学 2013-03-05 A. Eriksson , F. Elias-Wolff , B. Mehlig

The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal interactions can be considered as one of the mechanisms…

种群与进化 · 定量生物学 2017-12-29 Ozgur Aydogmus

Multiple scales in metapopulations can give rise to paradoxical behaviour: in a conceptual model for a public goods game, the species associated with a fitness cost due to the public good production can be stabilised in the well-mixed limit…

生物物理 · 物理学 2018-04-18 Marianne Bauer , Erwin Frey

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…

Environmental heterogeneity can drive genetic heterogeneity in expanding populations; mutant strains may emerge that trade overall growth rate for an improved ability to survive in patches that are hostile to the wild type. This…

种群与进化 · 定量生物学 2023-03-06 Thomas Tunstall , Tim Rogers , Wolfram Möbius

Computational models of infectious disease can be broadly categorized into two types: individual-based (Agent-based), or compartmental models. While compartmental models can be structured to separate distinct sectors of a population, they…

种群与进化 · 定量生物学 2021-12-14 Cameron Zachreson , Sheryl Chang , Nathan Harding , Mikhail Prokopenko

Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

社会与信息网络 · 计算机科学 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

Scaling laws in ecology, intended both as functional relationships among ecologically-relevant quantities and the probability distributions that characterize their occurrence, have long attracted the interest of empiricists and…

种群与进化 · 定量生物学 2017-10-19 Silvia Zaoli , Andrea Giometto , Amos Maritan , Andrea Rinaldo
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