rMaternII
Simulate Matern Model II
Generate a random point pattern, a simulated realisation of the
Usage
rMaternII(kappa, r, win = owin(c(0,1),c(0,1)), stationary=TRUE)
Arguments
- kappa
- Intensity of the Poisson process of proposal points. A single positive number.
- r
- Inhibition distance.
- win
- Window in which to simulate the pattern.
An object of class
"owin"
or something acceptable toas.owin
. - stationary
- Logical. Whether to start with a stationary process of proposal points
(
stationary=TRUE
) or to generate the proposal points only inside the window (stationary=FALSE
).
Details
This algorithm generates a realisation of win
.
The process is constructed by first
generating a uniform Poisson point process of ``proposal'' points
with intensity kappa
. If stationary = TRUE
(the
default), the proposal points are generated in a window larger than
win
that effectively means the proposals are stationary.
If stationary=FALSE
then the proposal points are
only generated inside the window win
.
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
The difference between
Value
- The simulated point pattern (an object of class
"ppp"
).
See Also
Examples
X <- rMaternII(20, 0.05)
Y <- rMaternII(20, 0.05, stationary=FALSE)