Multitype L-function (i-to-any)
Calculates an estimate of the multitype L-function
(from type i to any type)
for a multitype point pattern.
Ldot(X, i, ..., from, correction)
X |
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. |
i |
The type (mark value)
of the points in |
correction,... |
Arguments passed to |
from |
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.
See Kdot for information
about Ki.(r).
The command Ldot first calls
Kdot to compute the estimate of the i-to-any
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.
Essentially a data frame containing columns
r |
the vector of values of the argument r at which the function Li. has been estimated |
theo |
the theoretical value Li.(r) = r for a stationary Poisson process |
together with columns named
"border", "bord.modif",
"iso" and/or "trans",
according to the selected edge corrections. These columns contain
estimates of the function Li.
obtained by the edge corrections named.
Adrian Baddeley Adrian.Baddeley@curtin.edu.au
and Rolf Turner r.turner@auckland.ac.nz
data(amacrine) L <- Ldot(amacrine, "off") plot(L)
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