R: K Function or Pair Correlation Function of Cluster Model or...

Kmodel.kppm {spatstat.core} | R Documentation

## K Function or Pair Correlation Function of Cluster Model or Cox model

### Description

Returns the theoretical K function or the pair correlation function of a cluster point process model or Cox point process model.

### Usage

       ## S3 method for class 'kppm'
    Kmodel(model, ...)

       ## S3 method for class 'kppm'
    pcfmodel(model, ...)

### Arguments

`model` | A fitted cluster point process model (object of class `"kppm"`) typically obtained from the model-fitting algorithm `kppm`.
`...` | Ignored.

### Details

For certain types of point process models, it is possible to write down a mathematical expression for the K function or the pair correlation function of the model. In particular this is possible for a fitted cluster point process model (object of class `"kppm"` obtained from `kppm`).

The functions `Kmodel` and `pcfmodel` are generic. The functions documented here are the methods for the class `"kppm"`.

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.

### Value

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

### Author(s)

Adrian Baddeley Adrian.Baddeley@curtin.edu.au

and Rolf Turner r.turner@auckland.ac.nz

### See Also

`Kest` or `pcf` to estimate the K function or pair correlation function nonparametrically from data.

`kppm` to fit cluster models.

`Kmodel` for the generic functions.

`Kmodel.ppm` for the method for Gibbs processes.

### Examples

      data(redwood)
      fit <- kppm(redwood, ~x, "MatClust")
      K <- Kmodel(fit)
      K(c(0.1, 0.2))
      curve(K(x), from=0, to=0.25)

[Package spatstat.core version 2.0-0 Index]