Ord: Generic Ord Interaction model

In spatstat.model: Parametric Statistical Modelling and Inference for the 'spatstat' Family

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

and \rolf

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.

See Also

ppm, ppm.object, OrdThresh

spatstat.model documentation built on Sept. 30, 2024, 9:26 a.m.