Parametric models
Model	$\bar{D}$		pD		DIC
Model 1	16,469.70		117.18		16,586.88
Model 2a	16,469.82		117.19		16,587.01
Model 2b	16,469.79		117.19		16,586.98
Non-parametric models $(\log r_{i t} = α + u_{i} + ϕ_{t} + γ_{t} + δ_{i j})$
Model		Space-time interaction		a) RW1					b) RW2
				$\bar{D}$		pD		DIC	$\bar{D}$	pD	DIC
Model 3		Additive model		36,361.70		84.26		36,445.96	36,361.85	84.26	36,446.11
Model 4		Type I		2354.81		186.84		2541.65	2354.02	186.85	2540.87
Model 5		Type II		2349.25		187.10		2536.35	2355.64	185.39	2541.03
Model 6		Type III		2349.29		187.62		2536.91	2349.28	187.62	2536.90
Model 7		Type IV		2350.34		187.15		2537.49	2353.30	186.55	2539.85
Non-parametric models $\log r_{i t} = α + u_{i} + γ_{t} + δ_{i j}$
Model		Space-time interaction		a) RW1					b) RW2
				$\bar{D}$		pD		DIC	$\bar{D}$	pD	DIC
Model 8		Additive model		36,361.87		84.26		36,446.13	36,362.04	84.26	36,446.30
Model 9		Type I		2354.84		186.85		2541.69	2354.00	186.87	2540.87
Model 10		Type II		2349.20		186.85		2536.30	2355.59	185.39	2540.98
Model 11		Type III		2349.27		187.62		2536.89	2349.28	187.62	2536.90
Model 12		Type IV		2350.30		187.15		2537.45	2353.23	186.55	2539.78