On the mechanistic underpinning of discrete-time population models with Allee effect.
The Allee effect means reduction in individual fitness at low population densities. There are many discrete-time population models with an Allee effect in the literature, but most of them are phenomenological. Recently, Geritz and Kisdi [2004. On the mechanistic underpinning of discrete-time population models with complex dynamics. J. Theor. Biol. 228, 261-269] presented a mechanistic underpinning of various discrete-time population models without an Allee effect. Their work was based on a continuous-time resource-consumer model for the dynamics within a year, from which they derived a discrete-time model for the between-year dynamics. In this article, we obtain the Allee effect by adding different mate finding mechanisms to the within-year dynamics. Further, by adding cannibalism we obtain a higher variety of models. We thus present a generator of relatively realistic, discrete-time Allee effect models that also covers some currently used phenomenological models driven more by mathematical convenience.
Eskola
Hanna T M
HT
Department of Mathematics, FIN-20014 University of Turku, Finland. hanna.eskola@utu.fi
Parvinen
Kalle
K
D000818:Animals; D002190:Cannibalism; D005260:Female; D006801:Humans; D016015:Logistic Models; D008297:Male; D008954:Models, Biological; D011156:Population Density; D011157:Population Dynamics; D012641:Selection, Genetic; D012726:Sexual Behavior, Animal; D013534:Survival