Table 1.

Model selection results. β₀ = marginal occupancy intercept; β_x = marginal occupancy slopes; γ₀ = two-way interaction intercept; γ_x = two-way interaction slopes. 0 = no interaction; 1 = constant two-way interaction (intercept only). WAIC = Watanabe–Akaike information criterion. ΔWAIC = delta WAIC (difference between WAIC of the top and subsequent models). Prey = gaur, muntjac, and serow.

marginal occupancy	conditional occupancy	detection	WAIC	ΔWAIC
β0 + β1 settlement + β2 disturbance + β3 forest + β4 river + β5 slope + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	γ0 + γ1 settlement + γ2 disturbance + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\gamma }_x$ prey	α0 + α1 trail + α2 effort + α3 disturbance	3585.2	0
β0 + β1 settlement + β2 disturbance + β3 forest + β4 river + β5 slope + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	1	α0 + α1 trail + α2 effort + α3 disturbance	3590.8	5.6
β0 + β1 settlement + β2 disturbance + β3 forest + β4 river + β5 slope + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	0	α0 + α1 trail + α2 effort + α3 disturbance	3592.6	7.4
β0 + β1 settlement + β2 disturbance + β3 forest + β4 river + β5 slope + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	γ0 + γ1 settlement + γ2 disturbance + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\gamma }_x$ prey + γi prey × settlement	α0 + α1 trail + α2 effort + α3 disturbance	3596.2	11
β0 + β1 settlement + β2 disturbance + β3 forest + β4 river + β5 slope + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey + βi prey × settlement	γ0 + γ1 settlement + γ2 disturbance + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\gamma }_x$ prey + γi prey × settlement	α0 + α1 trail + α2 effort + α3 disturbance	3617.8	32.6
β0 + β1 settlement + β2 disturbance + β3 forest + β4 river + β5 slope + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	γ0 + γ1 settlement + γ2 disturbance	α0 + α1 trail + α2 effort + α3 disturbance	3621.9	36.7
β0 + β1 settlement + β2 forest + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	γ0 + γ1 settlement	α0 + α1 trail + α2 disturbance	4221.1	635.9
β0 + β1 forest + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	γ0 + γ1 settlement	α0 + α1 trail + α2 disturbance	4226.6	641.4
β0 + β1 settlement + β2 forest + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	1	α0 + α1 trail + α2 disturbance	4229.7	644.5
β0 + β1 settlement + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	γ0 + γ1 settlement	α0 + α1 trail + α2 disturbance	4237.7	652.5
β0 + β1 settlement + β2 forest + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	0	α0 + α1 trail + α2 disturbance	4238.7	653.5
β0 + β1 forest + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	1	α0 + α1 trail + α2 disturbance	4240.8	655.6
β0 + β1 settlement + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	1	α0 + α1 trail + α2 disturbance	4245.2	660
β0 + β1 forest + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	0	α0 + α1 trail + α2 disturbance	4247.1	661.9
β0 + β1 settlement + $\sum _{\mathrm{x}=0}^{\mathrm{X}=3}{\beta }_x$ prey	0	α0 + α1 trail + α2 disturbance	4256.8	671.6
β0 + β1 settlement + β2 forest	γ0 + γ1 settlement	α0 + α1 trail + α2 disturbance	4283.6	698.4
β0 + β1 settlement + β2 forest	1	α0 + α1 trail + α2 disturbance	4294.2	709
β0 + β1 settlement + β2 forest	0	α0 + α1 trail + α2 disturbance	4306.6	721.4
β0	0	0	4344.8	759.6