spatstat (version 1.31-3)

linearK: 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")

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.

Value

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

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).

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. To appear in Scandinavian Journal of Statistics.

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

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