`rMaternII(kappa, r, win = owin(c(0,1),c(0,1)))`

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`

.- The simulated point pattern (an object of class
`"ppp"`

).

`win`

. The process is constructed by first
generating a uniform Poisson point process of ``proposal'' points
with intensity `kappa`

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.

`rpoispp`

,
`rMatClust`

,
`rMaternI`

`pp <- rMaternII(20, 0.05)`

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