Appendix D (TABLE D1). Summary of generalized linear model (GLM) comparisons using Akaike’s information criterion corrected for small sample sizes (AIC_{c}). Response variables include reef area (AREA) and reef isolation (ISO). Predictors include longitude (lon) and latitude (lat). Shown are the number of parameters (k), model maximum log-likelihood (LL), change in AIC_{c} (?AIC_{c}), AIC_{c} weight (wAIC_{c}) and the percent deviance explained (D). D is a measure of the structural goodness-of-fit of the model. Model sequences are ordered by increasing AIC_{c}.
model | k | LL | ?AIC_{c} | wAIC_{c} | D |
AREA ~ lon + lat | 3 | -25916.80 | 0.00 | 0.73 | 6.79 |
AREA ~ lon × lat | 4 | -25916.77 | 1.96 | 0.27 | 6.60 |
AREA ~ lat | 2 | -25926.40 | 17.20 | 0.00 | 4.89 |
AREA ~ lon | 2 | -25940.59 | 45.58 | 0.00 | 2.88 |
AREA ~ 1 | 1 | -25958.65 | 79.70 | 0.00 | 0.00 |
ISO ~ lon × lat | 4 | -10504.35 | 0.00 | > 0.99 | 34.44 |
ISO ~ lon + lat | 3 | -10998.07 | 985.45 | < 0.01 | 23.48 |
ISO ~ lon | 2 | -11802.54 | 2592.39 | < 0.01 | 1.57 |
ISO ~ lat | 2 | -11846.50 | 2680.30 | < 0.01 | 0.20 |
ISO ~ 1 | 1 | -11852.99 | 2691.28 | < 0.01 | 0.00 |