gotelli: Propagule Rain Metapopulation Model

In primer: Functions and Data for the Book, a Primer of Ecology with R

Description

A function for the propagule rain or mainland-island metapopulation dynamics, for use with ode in the deSolve package.

Usage

gotelli(t, y, parms)

Arguments

t	Argument for time
y	A scalar for the population variable
parms	Vector or list of parameters

Value

Returns a list of length one, for use with ode in the deSolve package.

Component 1

vector of the state variable (a scalar for the proportion of sites occupied).

Author(s)

Hank Stevens <[e-mail]>

References

Gotelli, N.J. (1991) Metapopulation models: the rescue effect, the propagule rain, and the core-satellite hypothesis. The American Naturalist, 138, 768–776.

Stevens, M.H.H. (2009) A Primer of Ecology with R. Use R! Series. Springer.

See Also

gotelli, hanski, lande, MetaSim, clogistic

Examples

## The function is currently defined as
function (t, y, parms)
{
    p <- y[1]
    with(as.list(parms), {
        dp <- ce * (1 - p) - e * p
        return(list(dp))
    })
  }

library(deSolve)
p <- c(ce=.1, e=.01)
time <- 1:10
initialN <- .3
out <- ode(y=initialN, times=time, func=gotelli, parms=p)
plot(time, out[,-1], type='l')

primer documentation built on Jan. 7, 2021, 1:07 a.m.