Ord

0th

Percentile

Generic Ord Interaction model

Creates an instance of an Ord-type interaction point process model which can then be fitted to point pattern data.

Keywords
models, spatial
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.

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

Aliases
  • Ord
Documentation reproduced from package spatstat, version 1.55-1, License: GPL (>= 2)

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