primer (version 0.1)

gotelli: Propagule rain metapopulation model

Description

A function for the Propagule rain or mainland-island metaapopulation 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).

References

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

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

See Also

gotelli, hanski,lande, MetaSim clogistic

Examples

##---- Should be DIRECTLY executable !! ----
##-- ==>  Define data, use random,
##--	or do  help(data=index)  for the standard data sets.

## 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')