# rMaternI

0th

Percentile

##### Simulate Matern Model I

Generate a random point pattern using the Mat'ern Model I inhibition process.

Keywords
spatial
##### Usage
rMaternI(lambda, r, win = owin(c(0,1),c(0,1)))
##### Arguments
lambda
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.
##### Details

This algorithm generates a realisation of Mat'ern'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 lambda inside the window. A proposal point is deleted if it lies within r units' distance of another proposal point. Otherwise it is retained. The retained points constitute Mat'ern's Model I.

##### Value

• The simulated point pattern (an object of class "ppp").

rpoispp, rMatClust
pp <- rMaternI(20, 0.05)