Computes an estimate of the linear \(K\) function for a point pattern on a linear network.
linearK(X, r=NULL, ..., correction="Ang", ratio=FALSE)Function value table (object of class "fv").
Point pattern on linear network (object of class "lpp").
Optional. Numeric vector of values of the function argument \(r\). There is a sensible default.
Ignored.
Geometry correction.
Either "none" or "Ang". See Details.
Logical.
If TRUE, the numerator and denominator of
the estimate will also be saved,
for use in analysing replicated point patterns.
Ang Qi Wei aqw07398@hotmail.com and Adrian Baddeley Adrian.Baddeley@curtin.edu.au.
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).
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.
compileK,
lpp
X <- rpoislpp(5, simplenet)
linearK(X)
linearK(X, correction="none")
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