Stochastic Foundations in Movement Ecology by Vicenç Méndez Daniel Campos & Frederic Bartumeus

Author:Vicenç Méndez, Daniel Campos & Frederic Bartumeus
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(5.20)

The mean time between two successive generations (i.e., the average age of childbearing in the population) is then

(5.21)

and from (5.18) and (5.20) we finally find a relationship between the intrinsic growth rate and the net reproductive rate:

(5.22)

For example, in the integrodifference model (5.13) the time between generations is constant and equal to τ (see Sect. 5.4.1). Then and from (5.22), with a 0 = 0 and a f  = ∞, we get

(5.23)

Now we are in position to introduce the spatial component within this framework. Let b(x, t) be the number density (number of individuals per unit length, area or volume if dispersal takes place in one, two or three dimensional space) of births at point x at time t. The mesoscopic balance equation for b(x, t) is the spatial Lotka equation

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