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The American Naturalist, 2022
Allee effects are common to diverse taxa but their consequences for coexistence are poorly understood. Recent studies suggest they cause priority effects through ‘inverse’, or positive, density dependence when a population is at low density, but mathematical theory suggests more outcomes are possible.
Emma Walker, Benjamin Gilbert
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Allee effects are common to diverse taxa but their consequences for coexistence are poorly understood. Recent studies suggest they cause priority effects through ‘inverse’, or positive, density dependence when a population is at low density, but mathematical theory suggests more outcomes are possible.
Emma Walker, Benjamin Gilbert
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2019
Allee effect arise when there is a positive association between average individual fitness or per capita population growth rate and population size or density. The dynamical theory of Allee effects makes several empirically testable predictions, pertaining particularly to the establishment and extinction of incipient populations.
Drake, John M. +2 more
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Allee effect arise when there is a positive association between average individual fitness or per capita population growth rate and population size or density. The dynamical theory of Allee effects makes several empirically testable predictions, pertaining particularly to the establishment and extinction of incipient populations.
Drake, John M. +2 more
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Generalized Allee effect model
Theory in Biosciences, 2014The Allee effect consists of a positive correlation between very small population size and fitness. Offering a new view point on the weak and strong demographic Allee effect, we propose to combine them with the Richards growth model. In particular, a peculiar manifestation of the Allee effect is analytically predicted and still not validated by ...
Lindomar S, dos Santos +2 more
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Role of Allee effect on prey–predator model with component Allee effect for predator reproduction
Mathematics and Computers in Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Udai, Mandal, Partha Sarathi
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Allee Effects in Metapopulation Dynamics
The American Naturalist, 1998Department of Ecology and Evolutionary Biology, University of where p is the fraction of habitats occupied by the species California, Irvine, California 92697-2525 in question, m is the colonization rate of empty patches, and e is the extinction rate of occupied patches.
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From Weak Allee Effect to No Allee Effect in Richards’ Growth Models
2015Population dynamics have been attracting interest since many years. Among the considered models, the Richards’ equations remain one of the most popular to describe biological growth processes. On the other hand, Allee effect is currently a major focus of ecological research, which occurs when positive density-dependence dominates at low densities.
Rocha, J. Leonel +2 more
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Allee-like effects in metapopulation dynamics
Mathematical Biosciences, 2004The existences of the Allee effect at the local population level and of the Allee-like effect at the metapopulation level are important for both ecology and conservation. Although there have been a great many papers on the Allee effect, they have mainly referred to only local populations and have not dealt with the relationship between the two. In this
Zhou, Shu-Rong, Wang, Gang
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Integrodifference equations, Allee effects, and invasions
Journal of Mathematical Biology, 2002Models that describe the spread of invading organisms often assume no Allee effect. In contrast, abundant observational data provide evidence for Allee effects. We study an invasion model based on an integrodifference equation with an Allee effect. We derive a general result for the sign of the speed of invasion.
Wang, Mei-Hui +2 more
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Allee Effects, Invasion Pinning, and Species’ Borders
The American Naturalist, 2001All species’ ranges are the result of successful past invasions. Thus, models of species’ invasions and their failure can provide insight into the formation of a species’ geographic range. Here, we study the properties of invasion models when a species cannot persist below a critical population density known as an “Allee threshold.” In both spatially ...
Holt, R. D. +2 more
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Inverse density dependence and the Allee effect
Trends in Ecology & Evolution, 1999The Allee effect describes a scenario in which populations at low numbers are affected by a positive relationship between population growth rate and density, which increases their likelihood of extinction. The importance of this dynamic process in ecology has been under-appreciated and recent evidence now suggests that it might have an impact on the ...
, Courchamp, , Clutton-Brock, , Grenfell
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