rMaternI

From spatstat v1.41-1 by Adrian Baddeley

Simulate Matern Model I

Generate a random point pattern, a simulated realisation of the latex{Mat'ern}{Matern} Model I inhibition process model.

Keywords: spatial, datagen

Usage

rMaternI(kappa, r, win = owin(c(0,1),c(0,1)), stationary=TRUE, ...,
          nsim=1, drop=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 to as.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).
...: Ignored.
nsim: Number of simulated realisations to be generated.
drop: Logical. If nsim=1 and drop=TRUE (the default), the result will be a point pattern, rather than a list containing a point pattern.

Details

This algorithm generates one or more realisations of latex{Mat'ern}{Matern}'s Model I inhibition process inside the window 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.

A proposal point is then deleted if it lies within r units' distance of another proposal point. Otherwise it is retained. The retained points constitute latex{Mat'ern}{Matern}'s Model I.

Value

A point pattern (an object of class "ppp") if nsim=1, or a list of point patterns if nsim > 1.

Examples

X <- rMaternI(20, 0.05)
 Y <- rMaternI(20, 0.05, stationary=FALSE)

Documentation reproduced from package spatstat, version 1.41-1, License: GPL (>= 2)

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