linearK: Linear K Function

In spatstat.linnet: Linear Networks Functionality of the 'spatstat' Family

Linear K Function

Description

Computes an estimate of the linear K function for a point pattern on a linear network.

Usage

linearK(X, r=NULL, ..., correction="Ang", ratio=FALSE)

Arguments

X	Point pattern on linear network (object of class "lpp").
r	Optional. Numeric vector of values of the function argument r. There is a sensible default.
...	Ignored.
correction	Geometry correction. Either "none" or "Ang". See Details.
ratio	Logical. If TRUE, the numerator and denominator of the estimate will also be saved, for use in analysing replicated point patterns.

Details

This command computes the linear K function from point pattern data on a linear network.

If correction="none", the calculations do not include any correction for the geometry of the linear network. The result is the network K function as defined by Okabe and Yamada (2001).

If correction="Ang", the pair counts are weighted using Ang's correction (Ang, 2010; Ang et al, 2012).

Value

Function value table (object of class "fv").

Author(s)

\wei

and \adrian.

References

Ang, Q.W. (2010) Statistical methodology for spatial point patterns on a linear network. MSc thesis, University of Western Australia.

Ang, Q.W., Baddeley, A. and Nair, G. (2012) Geometrically corrected second-order analysis of events on a linear network, with applications to ecology and criminology. Scandinavian Journal of Statistics 39, 591–617.

Okabe, A. and Yamada, I. (2001) The K-function method on a network and its computational implementation. Geographical Analysis 33, 271-290.

See Also

compileK, lpp

Examples

  X <- rpoislpp(5, simplenet)
  linearK(X)
  linearK(X, correction="none")

spatstat.linnet documentation built on Sept. 20, 2024, 5:06 p.m.