Ord {spatstat.model} | R Documentation |
Generic Ord Interaction model
Description
Creates an instance of an Ord-type interaction point process model which can then be fitted to point pattern data.
Usage
Ord(pot, name)
Arguments
pot |
An S language function giving the user-supplied interaction potential. |
name |
Character string. |
Details
Ord's point process model (Ord, 1977) is a Gibbs point process
of infinite order. Each point x_i
in the point pattern
x
contributes a factor g(a_i)
where
a_i = a(x_i, x)
is the area of the
tile associated with x_i
in the Dirichlet tessellation of x
.
Ord (1977) proposed fitting this model to forestry data
when g(a)
has a simple “threshold” form. That model is
implemented in our function OrdThresh
.
The present function Ord
implements the case of a
completely general Ord potential g(a)
specified as an S language function pot
.
This is experimental.
Value
An object of class "interact"
describing the interpoint interaction
structure of a point process.
Author(s)
Adrian Baddeley Adrian.Baddeley@curtin.edu.au
and Rolf Turner rolfturner@posteo.net
References
Baddeley, A. and Turner, R. (2000) Practical maximum pseudolikelihood for spatial point patterns. Australian and New Zealand Journal of Statistics 42, 283–322.
Ord, J.K. (1977) Contribution to the discussion of Ripley (1977).
Ord, J.K. (1978) How many trees in a forest? Mathematical Scientist 3, 23–33.
Ripley, B.D. (1977) Modelling spatial patterns (with discussion). Journal of the Royal Statistical Society, Series B, 39, 172 – 212.