Calculates an estimate of the multitype L-function
i to any type)
for a multitype point pattern.
The observed point pattern, from which an estimate of the dot-type L function Lij(r) will be computed. It must be a multitype point pattern (a marked point pattern whose marks are a factor). See under Details.
The type (mark value)
of the points in
Arguments passed to
An alternative way to specify
This command computes
Li.(r) = sqrt(Ki.(r)/pi)
where Ki.(r) is the multitype K-function
from points of type
i to points of any type.
Kdot for information
Ldot first calls
Kdot to compute the estimate of the
K-function, and then applies the square root transformation.
For a marked Poisson point process, the theoretical value of the L-function is Li.(r) = r. The square root also has the effect of stabilising the variance of the estimator, so that Li. is more appropriate for use in simulation envelopes and hypothesis tests.
An object of class
which can be plotted directly using
Essentially a data frame containing columns
the vector of values of the argument r at which the function Li. has been estimated
the theoretical value Li.(r) = r for a stationary Poisson process
together with columns named
according to the selected edge corrections. These columns contain
estimates of the function Li.
obtained by the edge corrections named.
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