
394 Spatial Point Patterns: Methodology and Applications with R
0.00 0.05 0.10 0.15 0.20 0.25
−0.05 0.05 0.15 0.25
r
K(r)
0.00 0.05 0.10 0.15 0.20 0.25
0.00 0.10 0.20
r
L
(
r
)
Figure 10.6. ‘Global envelopes’ based on the K- function (Left) or L-function (Right). Grey shading
shows regions of constant vertical width determined by the maximum deviation (from the expected
value for CSR) of the summary function estima te s for 19 simulations of CSR .
If the theoretica l value S
theo
(r) is not known for every r, then it could be estimated from a
separate set of simulations of the null mod el [221], which guarantees the basic requirement of
symmetry. Alternatively ...