rMaternII: Simulate Matern Model II

Description Usage Arguments Details Value Author(s) See Also Examples

View source: R/random.R


Generate a random point pattern, a simulated realisation of the \Matern Model II inhibition process.


 rMaternII(kappa, r, win = owin(c(0,1),c(0,1)), stationary=TRUE, ...,
           nsim=1, drop=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 as.owin. Alternatively a higher-dimensional box of class "box3" or "boxx".


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).




Number of simulated realisations to be generated.


Logical. If nsim=1 and drop=TRUE (the default), the result will be a point pattern, rather than a list containing a point pattern.


This algorithm generates one or more realisations of \Matern's Model II 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.

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 \Matern's Model II.

The difference between \Matern's Model I and II is the italicised statement above. Model II has a higher intensity for the same parameter values.


A point pattern if nsim=1, or a list of point patterns if nsim > 1. Each point pattern is normally an object of class "ppp", but may be of class "pp3" or "ppx" depending on the window.



, Ute Hahn, \rolf

and \ege

See Also

rpoispp, rMatClust, rMaternI


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

Example output

Loading required package: spatstat.data
Loading required package: nlme
Loading required package: rpart

spatstat 1.59-0       (nickname: 'J'ai omis les oeufs de caille') 
For an introduction to spatstat, type 'beginner' 

Note: R version 3.4.4 (2018-03-15) is more than 9 months old; we strongly recommend upgrading to the latest version

spatstat documentation built on Feb. 24, 2020, 1:07 a.m.