(Formerly ki.fun
) Computes a set of K12-functions between all possible marks \(p\) and the other marks in
a multivariate spatial point pattern defined in a simple (rectangular or circular)
or complex sampling window (see Details).
kp.fun(p, upto, by)
A list of class "fads"
with essentially the following components:
a vector of regularly spaced distances (seq(by,upto,by)
).
a vector containing the levels \(i\) of p$marks
.
a data frame containing values of the pair density function \(g12(r)\).
a data frame containing values of the local neighbour density function \(n12(r)\).
a data frame containing values of the \(K12(r)\) function.
a data frame containing values of the modified \(L12(r)\) function.
Each component except r
is a data frame with the following variables:
a vector of estimated values for the observed point pattern.
a vector of theoretical values expected under the null hypothesis of population independence (see k12fun
).
a "spp"
object defining a multivariate spatial point pattern in a given sampling window (see spp
).
maximum radius of the sample circles (see Details).
interval length between successive sample circles radii (see Details).
Function kp.fun
is simply a wrapper to k12fun
, which computes K12(r) between each mark \(p\) of the pattern
and all other marks grouped together (the \(j\) points).
plot.fads
,
spp
,
kfun
,
k12fun
,
kpqfun
.