rMaternII

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Simulate Matern Model II

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

Keywords
spatial
Usage
rMaternII(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 II 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. 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.

Value

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

See Also

rpoispp, rMatClust, rMaternI

Aliases
  • rMaternII
Examples
pp <- rMaternII(20, 0.05)
Documentation reproduced from package spatstat, version 1.4-3, License: GPL version 2 or newer

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