iteration {simecol}R Documentation

Discrete Simulation

Description

Solver function to simulate discrete ecological (or other) dynamic models. It is normally called indirectly from sim.

Usage

  iteration(y, times=FALSE, func=FALSE, parms=FALSE, animate = FALSE, ...)

Arguments

y the initial values for the system. If y has a name attribute, the names will be used to label the output matrix.
times times at which explicit estimates for y are desired. The first value in times must be the initial time.
func a user-supplied function that computes the values of the next time step (not the derivatives !!!) in the system (the model defininition) at time t. The user-supplied function func must be called as: yprime = func(t, y, parms). t is the current time point in the integration, y is the current estimate of the variables in the ode system, and parms is a vector of parameters (which may have a names attribute, desirable in a large system).
The return value of func should be a list, whose first element is a vector containing the derivatives of y with respect to time, and whose second element is a vector (possibly with a names attribute) of global values that are required at each point in times.
parms vector or list holding the parameters used in func that should be modifiable without rewriting the function.
animate Animation during the simulation (if available for the specified class.
... optional arguments passed to the plot function if animate=TRUE.

Details

The solver method iteration is used to simulate discrete event models.

In contrast to differential equation solvers, the main function of the model must not return the first derivative but instead and explicitly the new state at the specified times.

The actual value of time is available in the main function as time and the current increment as parms$DELTAT or parms["DELTAT"] depending on the data type of parms.

Normally, this function is run indirectly from sim.

The default iteration method of class simObj supports the observer mechanism. This means that a function stored in slot observer is called during each iteration step with the return value of main as its first argument. You can use this to determine the amount of data stored during each iteration step (e.g. whole population or only mean values for individual based models), to do run-time animation or to write log files.

Value

A list of the model outputs (states ...) for each timestep.

See Also

sim, parms, lsoda, rk4, euler.

Examples

data(conway)
## plot after simulation:
plot(sim(conway), delay=100)

## plot during simulation
sim(conway, animate=TRUE, delay=100)

##### discrete version of logistic growth equation
dlogist <- new("odeModel",
  main = function (time, init, parms, ...) {
    x <- init
    p <- parms
    x[1] <- x[1] + p["r"] * x[1] * (1 - x[1] / p["K"])
    #       ^^^^ important !!! new value, not derivative
    list(c(x))
  },
  parms  = c(r=0.1, K=10),
  times  = seq(0, 100, 1),
  init   = c(population=0.1),
solver = "iteration" #!!!
)

plot(sim(dlogist))

parms(dlogist)["r"] <- 2
plot(sim(dlogist))

[Package simecol version 0.6-6 Index]