R: K Function or Pair Correlation Function of a Point Process...

Kmodel {spatstat.core} | R Documentation

## K Function or Pair Correlation Function of a Point Process Model

### Description

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

### Usage

       Kmodel(model, ...)

       pcfmodel(model, ...)

### Arguments

`model` | A fitted point process model of some kind.
`...` | 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.

The functions `Kmodel` and `pcfmodel` give the theoretical K-function and the theoretical pair correlation function for a point process model that has been fitted to data.

The functions `Kmodel` and `pcfmodel` are generic, with methods for the classes `"kppm"` (cluster processes and Cox processes) and `"ppm"` (Gibbs processes).

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.

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

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

[Package spatstat.core version 2.3-0 Index]