Table 7. AIC best model of log of days with a detection for models with additional random effects.

Model	AIC	BIC	deviance	delta.BIC	delta.AIC
ldist	607.82	617.14	370.73	2.89	11.28
ldist+habitat	598.72	614.25	342.42	0.00	2.17
ldist+habitat+ldist∶habitat	596.54	618.29	329.85	4.04	0.00
ldist+habitat+ldist∶habitat+shark	603.43	628.28	582.54	14.03	6.89
ldist+habitat+ldist∶habitat+monitor	602.61	627.46	582.73	13.21	6.06
ldist+habitat+ldist∶habitat+monitor+shark	604.61	632.56	582.73	18.32	8.06
ldist+habitat+ldist∶habitat+ldist×monitor	602.50	627.35	582.48	13.11	5.96
ldist+habitat+ldist∶habitat+ldist×monitor+ldist×shark	604.42	632.37	582.54	18.12	7.87