spatstat.model (version 3.7-2)

Kmodel.clusterprocess: K Function or Pair Correlation Function of a Cluster Process Model

Description

Returns the theoretical \(K\) function, \(L\) function or pair correlation function of a cluster point process model with specified values of its parameters.

Usage

# S3 method for clusterprocess
Kmodel(model, ...)
 # S3 method for clusterprocess
Lmodel(model, ...)
 # S3 method for clusterprocess
pcfmodel(model, ...)

Value

A function in the R language, which takes one argument r.

Arguments

model

Object of class "clusterprocess".

...

Arguments passed to other methods.

Author

Adrian Baddeley

Details

For some point process models, it is possible to write down a mathematical expression for the \(K\) function or the pair correlation function of the model.

The commands Kmodel, Lmodel and pcfmodel are generic, with methods for the classes "kppm" (fitted cluster processes and Cox processes), "ppm" (fitted Gibbs processes), and "clusterprocess" (theoretical cluster processes).

This page documents the methods for the class "clusterprocess". An object of this class represents a Neyman-Scott-Cox cluster point process model with specified values of its parameters.

The return value is a function in the R language, which takes one argument r. Evaluation of this function, on a numeric vector r, yields values of the desired \(K\) function or pair correlation function at these distance values.

See Also

clusterprocess.

Kest, Lest or pcf to estimate the \(K\) function, \(L\) function or pair correlation function nonparametrically from point pattern data.

Kmodel.kppm for the method for fitted cluster processes and Cox processes.

Kmodel.ppm for the method for fitted Gibbs processes.

Examples

  m <- clusterprocess("Thomas", kappa=10, mu=5, scale=0.1)
  m2 <- clusterprocess("VarGamma", kappa=10, mu=10, scale=0.1, nu=0.7)
  m
  m2
  g <- pcfmodel(m)
  g(0.2)
  g2 <- pcfmodel(m2)
  g2(1)