
576 Spatial Point Patterns: Methodology and Applications with R
Kernel estima tion of the intensity function of a point process was described in Section 6.5.1. For
multitype point processes, the intensity function
λ
(u,m) can also be estimated by kernel smooth ing,
justified by Campbell’s formula (14.6). In effect kernel smoothing is applied separately to each of
the sub- patterns x
(m)
of points of type m, to produce the estimated intensity functions
b
λ
m
(u) for each
type.
blackoak
100 200 300 400
hickory
400 800 1200 1600
maple
200 600 1000
misc
50 150 250
redoak
200 400 600
whiteoak
300 500 700
Figure 14.6. Kernel estimates of intensity for each species in ...