Table A1.

Posterior means and marginal posterior probabilities for model parameters under alternative prior specifications. $\alpha ,\varphi ,p$ and σ² always in the model

Parameter	Covariate	${\tau }^2={10}^{-3}$		${\tau }^2={10}^{-1}$		$p\left(\varphi \right)=U[0,50]$
		Posterior	BF	Posterior	BF	Posterior	BF
		mean		mean		mean
α	Intercept	−0.0744	NA	−0.0783	NA	−0.0772	NA
β1	Northing	−0.0088	0.451	−0.0079	0.002	−0.0108	0.251
β2	Easting	−0.0297	>100	−0.0302	>100	−0.0309	>100
β3	Sub/rur	−0.0160	8.804	−0.0165	0.834	−0.0167	3.513
γ1	Dens dep	−0.0002	0.012	0.0000	0.000	−0.0002	0.008
γ2	Sparrowhawk	−0.0361	>100	−0.0361	>100	−0.0377	>100
γ3	Collared dove	−0.0008	1.091	0.0000	0.001	−0.0001	0.018
γ4	Ground frost	0.0487	>100	0.0490	>100	0.0502	>100
ϕ	−	0.7370	NA	0.7379	NA	0.7359	NA
p	−	1.3653	NA	1.3655	NA	1.3650	NA
σ2	−	0.0146	NA	0.0150	NA	0.0154	NA