Ecosystem-Scale Effects of Nutrients and Fishing on Coral Reefs
Table 2
Models of effects of fishing on fish trophic group and size-class biomass.
Dependent
Predictor
AICc
Trophic-based Models
ln(Top Predators)
ln(Fish Catch)
93.67
0
99.8
Fish Catch*
106.05
12.38
0.2
ln(Herbivores)
ln(Fish Catch)
113.73
130.52
0.1
Herbivores
Fish Catch
0
100.0
Herbivores
Top Predators*
12.64
0.2
Quadratic Top Predators
6.75
3.3
Piecewise Top Predators‡
0
96.5
Size-based Models
ln(Large-bodied fishes)
ln(Fish Catch)
98.48
0
82.5
Fish Catch
101.58
3.1
17.5
ln(Small-bodied fishes)
ln(Fish Catch)*
99.93
3.92
12.3
Fish Catch
96.01
0
87.7
ln(Small-bodied fishes)
Large-bodied fishes*
98.35
12.28
0.2
Quadratic Large-bodied fishes*
92.09
6.02
4.69
Piecewise Large-bodied fishes‡
86.07
0
95.11
†Difference in AICc between a given model, , and the model with the minimum AICc.
*All predictors are random variables, and models were estimated using ordinary least squares. However, if residuals exhibited spatial autocorrelation, relationships were estimated using spatial simultaneous autoregressive linear models. ‡A piecewise regression model is of the form , where is the intercept, and are slopes, and ( is a cut point) if and if .