Figure 4. K-function envelopes and Diggle-Cressie-Loosmore-Ford
(DCLF) test p-values for select sites in the OK redcedar and oakdataset. Dashed red lines represent the theoretical Poisson
distribution. Grey shaded sections are 95% acceptance envelopes. The
black line illustrates the empirical K-function. Departure of the black
line from the envelope signify a non-random distribution where points
above indicate clustering and below indicate overdispersion.
Visual examination of the K-function acceptance envelopes weighted by
tree diameter in the OK all redcedar and oak dataset found six
sites with potential overdispersion with DCLF tests confirming the
findings at sites 3, 8, 9, and 12 (Figure 5). The dataset was reduced to
include only living trees and diameter-weighted K-function tests found
probable overdispersion for eight sites with DCLF testing confirming
overdispersion at site 3 (p = 0.059), site 8 (p = 0.07), site 9 (p =
0.051), and site 12 (p = 0.019).