Figure 3. K-function envelopes and Diggle-Cressie-Loosmore-Ford (DCLF) test p-values weighted by diameter of trees for select sites in the OK all trees dataset. 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.
The Oklahoma dataset was reduced to include only unmarked points of all living and dead redcedar and Quercus trees. Examination of K-function envelopes indicated clustering for sites 1, 5, 9, 10, and 13; DCLF tests confirmed these findings in all aforementioned sites except site 13 (Figure 4). Examination of the K-function envelope indicated site 12 was regularly-spaced. DCLF testing (p = 0.012) confirmed deviation from CSR. The removal of dead trees from the redcedar andQuercus dataset weakened the observable signal of clustering in the K-function envelopes of sites 1, 5, 9, 10, and 13 (Figure S5). The DCLF p-values associated with these sites generally reflect this change.