
270 Spatial Point Patterns: Methodology and Applications with R
0.0 0.2 0.4 0.6 0.8 1.0
0.0 0.5 1.0 1.5
r (metres)
Φ
(
F
(
r
))
Figure 8 .13. Global envelopes of th e va ria nce-stabilised empty-space function. Solid line: trans-
formed empirical estimate Φ(F
km
(r)) for rescaled Swedish Pines data. Dashed line: transformed
Poisson func tion Φ(F
pois
(r)). Grey shading: regio n between global envelopes of Φ(F
km
(r)) over
0 ≤ r ≤ 1 for 19 simulatio ns of CSR with fixed number of points.
where n is the number of data points. Fig ure 8.6 shows the cumulative distribution function (8.8)
with mean 0.5, indicating that the value rarely exceeds 1.5, three times the mean ...