Table 1. Results of mixed effects linear model to calculate L statistic significance at Powdermill Nature Reserve in Southwestern Pennsylvania for all comparisons of all individuals >10 cm height.
Model | dF | T Stat | P value | Figure |
---|---|---|---|---|
All individuals | 2228 | 19.37 | <0.0001 | 1a |
All individuals, <0.5 | 781 | -4.477 | 0.6689 | 1b |
All individuals, 0.5–1 | 889 | 7.83 | <0.0001 | 1b |
All individuals, 1–5 | 797 | 8.5828 | <0.0001 | 1b |
All individuals, >5 | 358 | -14.97 | <0.0001 | 1b |
Understory | 1071 | 10.191 | <0.0001 | 2a |
Canopy | 1059 | 5.796 | <0.0001 | 2a |
Canopy, <0.5 m tall | 380 | -7.14 | <0.0001 | 2b |
Canopy, 0.5–1 m tall | 478 | 8.67 | <0.0001 | 2b |
Canopy, 1–5 m tall | 463 | 9.14 | <0.0001 | 2b |
Canopy, >5 m tall | 186 | -10.71 | <0.0001 | 2b |
Understory, <0.5 m tall | 397 | 2.045 | 0.0415 | 2c |
Understory, 0.5–1 m tall | 407 | 0.3348 | 0.7379 | 2c |
Understory, 1–5 m tall | 381 | 1.038 | 0.2998 | 2c |
All individuals, bird dispersed | 1159 | 2.86 | 0.0042 | 3a |
All individuals, animal dispersed | 200 | -6.806 | <0.0001 | 3a |
All individuals, wind dispersed | 803 | 3.404 | <0.0001 | 3a |
Overstory, wind dispersed | 601 | 3.903 | <0.0001 | 3b |
Overstory, bird dispersed | 250 | 5.482 | <0.0001 | 3b |
Understory, wind dispersed | 199 | -8.895 | <0.0001 | 3b |
Understory, bird dispersed | 906 | -3.533 | 0.0004 | 3b |
To calculate significant differences from complete spatial random we used a mixed effects linear model with plot as a random effect to control for between plot differences due to environmental heterogeneity between plots. We report model degrees of freedom based on the number of L estimates (calculated every 10 cm per point pattern per plot). We report any pooled point pattern as overdispersed if it has a significantly positive slope and any pooled point pattern as clustered if it has a significantly negative slope.