Table 4. Regression coefficients and comparison between the combinations of hypotheses to explain the distribution of fish species richness in streams.

AIC: Akaike’s information criterion.

Combination of hypotheses	r2	p	AIC	Δ AIC	Moran’s I	r2 for partial regression results
						A.B	A:B	B.A	1-(A+B)
Water-Energy + Productivity + Temporal Heterogeneity	0.416	<0.001	4498.800	0.000	0.096	0.046	0.121	0.249	0.584
Water-Energy + Productivity + Temporal Heterogeneity + Area	0.416	<0.001	4500.400	1.700	0.096	0.047	0.120	0.249	0.584
Productivity + Temporal Heterogeneity	0.407	<0.001	4502.100	3.400	0.097	0.038	0.057	0.312	0.593
Productivity + Temporal Heterogeneity + Area	0.408	<0.001	4503.700	4.900	0.097	0.038	0.057	0.312	0.592
Temporal Heterogeneity + Area	0.400	<0.001	4510.400	11.600	0.097	0.030	0.055	0.315	0.600
Water-Energy + Temporal Heterogeneity	0.400	<0.001	4514.200	15.400	0.095	0.031	0.133	0.237	0.600
Water-Energy + Temporal Heterogeneity + Area	0.401	<0.001	4515.500	16.800	0.095	0.031	0.132	0.237	0.599
Water-Energy + Productivity	0.384	<0.001	4530.100	31.300	0.119	0.014	0.144	0.226	0.616
Water-Energy + Productivity + Area	0.384	<0.001	4531.800	33.000	0.119	0.014	0.144	0.226	0.616
Water-Energy + Area	0.376	<0.001	4537.600	38.900	0.115	0.007	0.143	0.226	0.624
Productivity + Area	0.370	<0.001	4540.400	41.600	0.132	0.001	0.001	0.369	0.630

r²—Coefficient of determination; p—Type one error probability; AIC—Information criteria of Akaike; Δ AIC—Akaike variation; Moran’s I—Autocorrelation index of Moran for variable; A.B—Environmental component; A:B—Shared Component; B.A—Spatial Component; 1-(A+B)—Residual