linearK
Linear K Function
Computes an estimate of the linear $K$ function for a point pattern on a linear network.
- Keywords
- spatial, nonparametric
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.
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").
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
Examples
data(simplenet)
X <- rpoislpp(5, simplenet)
linearK(X)
linearK(X, correction="none")