. Author manuscript; available in PMC: 2015 Sep 1.

Published in final edited form as: Environ Ecol Stat. 2013 Aug 30;21(3):411–433. doi: 10.1007/s10651-013-0261-4

Table 5.

Estimated parameters for the models with all GIS covariates: no Caline compared to Caline. Parameter values and standard errors based on the observed information matrix are given

	No Caline		Caline
	Est.	Std. err.	Est.	Std. err.

Average level
α₁ — Regression coefficients
Intercept	3.78	0.174	3.42	0.207
Distance to road (log₁₀ m)	−0.0801	0.0236	−0.0665	0.0237
Distance to A1 roads (log₁₀ m)	−0.152	0.0323	−0.0630	0.0431
A1 & A2 in 300m buffers (km)	0.0501	0.0253	0.0315	0.0256
A3 in 50m buffers (km)	0.689	0.215	0.781	0.214
Distance to coast (km)	0.0330	0.0102	0.0318	0.00990
Population (1000/2km buffer)	0.00324	0.00117	0.00335	0.00113
Average log(Caline + 1)			0.0789	0.0259
θ₁ — Covariance parameters
Log Range (log km)	1.86	0.388	1.84	0.384
Log Sill	−2.86	0.287	−2.92	0.283

1^st temporal trend
α₂ — Regression coefficients
Intercept	−0.793	0.139	−1.00	0.187
Distance to road (log₁₀ m)	0.00244	0.0259	0.0137	0.0254
Distance to A1 roads (log₁₀ m)	0.0120	0.0274	0.0715	0.0379
A1 & A2 in 300m buffers (km)	0.0437	0.0227	0.0345	0.0214
A3 in 50m buffers (km)	0.136	0.255	0.178	0.245
Distance to coast (km)	0.0221	0.00720	0.0188	0.00753
Population (1000/2km buffer)	−0.00127	0.000782	−0.000949	0.000735
Average log(Caline + 1)			0.0533	0.0227
θ₂ — Covariance parameters
Log Range (log km)	2.77	0.621	3.34	0.831
Log Sill	−3.82	0.512	−3.55	0.740

2^nd temporal trend
α₃ — Regression coefficients
Intercept	−0.142	0.132	−0.204	0.189
Distance to road (log₁₀ m)	0.0503	0.0333	0.0532	0.0329
Distance to A1 roads (log₁₀ m)	−0.0430	0.0326	−0.0263	0.0479
A1 & A2 in 300m buffers (km)	−0.0310	0.0281	−0.0412	0.0264
A3 in 50m buffers (km)	0.338	0.322	0.412	0.309
Distance to coast (km)	0.0130	0.00548	0.0121	0.00581
Population (1000/2km buffer)	−0.0000833	0.000924	0.0000423	0.000896
Average log(Caline + 1)			0.0185	0.0290
θ₃ — Covariance parameters
Log Range (log km)	2.40	0.646	2.68	0.724
Log Sill	−4.78	0.436	−4.70	0.515

γ Mean centered log(Caline + 1)			0.0677	0.0151

θ _ν
Log Range (log km)	4.39	0.0938	4.38	0.0935
Log Sill	−3.25	0.0617	−3.25	0.0614
Log Nugget	−4.29	0.0415	−4.30	0.0418