Simulate Matern Model II
Generate a random point pattern, a simulated realisation of the Mat'ern Model II inhibition process.
rMaternII(kappa, r, win = owin(c(0,1),c(0,1)), stationary=TRUE)
- Intensity of the Poisson process of proposal points. A single positive number.
- Inhibition distance.
- Window in which to simulate the pattern.
An object of class
"owin"or something acceptable to
- Logical. Whether to start with a stationary process of proposal points
stationary=TRUE) or to generate the proposal points only inside the window (
This algorithm generates a realisation of Mat'ern's Model II
inside the window
The process is constructed by first
generating a uniform Poisson point process of ``proposal'' points
stationary = TRUE (the
default), the proposal points are generated in a window larger than
win that effectively means the proposals are stationary.
stationary=FALSE then the proposal points are
only generated inside the window
Then each proposal point is marked by an ``arrival time'', a number
uniformly distributed in $[0,1]$ independently of other variables.
A proposal point is deleted if it lies within
r units' distance
of another proposal point that has an earlier arrival time.
Otherwise it is retained.
The retained points constitute Mat'ern's Model II.
The difference between Mat'ern's Model I and II is the italicised statement above. Model II has a higher intensity for the same parameter values.
- The simulated point pattern (an object of class
X <- rMaternII(20, 0.05) Y <- rMaternII(20, 0.05, stationary=FALSE)