Table 3 Fitted semivariogram models (SV) for properties data used in the ordinary kriging interpolation method and cross-semivariogram models (CSV) between saturated hydraulic conductivity and other soil properties; 1° corresponds to approx. 100 km.

Properties	Model	C₀	C₀ + C	C₀/(C₀ + C)	A (°)	R²	RSS	A_z(°)	D0
Semivariogram models (SV)
K	Exp	2.223	4.774	0.466	0.081	0.666	2.83E + 00	75	1.908
sqr (K)	Exp	0.187	0.374	0.499	0.063	0.592	1.26E−02	75	1.945
sand	Exp	41.4	89.57	0.462	0.024	0.911	8.14E + 01	96	1.945
silt	Exp	41.6	87.39	0.476	0.024	0.903	8.03E + 01	96	1.948
sqr(clay)	Exp	0.082	0.1714	0.478	0.024	0.733	6.35E−04	0	1.961
ln(pH_H2O)	Exp	0.00563	0.01796	0.313	0.012	0.699	2.39E−06	124	1.973
sqr(OC)	Exp	0.0311	0.0631	0.493	0.021	0.923	1.25E−05	83	1.960
sqr(CEC)	Exp	0.1246	0.2532	0.492	0.018	0.904	2.32E−04	0	1.968
ln(WC_grav)	Exp	0.1727	0.4294	0.402	0.018	0.568	5.78E−03	44	1.958
sqr(WC_TDR)	Exp	0.00244	0.00489	0.499	0.057	0.605	1.82E−06	74	1.930
BD	Exp	0.00857	0.01724	0.497	0.045	0.609	1.40E−05	117	1.948
FI	Exp	0.00080	0.00149	0.541	0.045	0.782	5.56E−06	105	1.943

Properties	Model	C₀	C₀ + C	C₀/(C₀ + C)	A (°)	R²
Cross-semivariogram models (CSV) of sqr(K) and properties
sand	Gau	– 0.165	– 0.837	0.197	0.156	0.478
silt	Gau	0.170	0.762	0.223	0.149	0.419
sqr(clay)	Gau	0.0014	0.0463	0.030	0.240	0.316
ln(pH_H2O)	Lin	– 0.00066	– 0.00066	1.000	0.095	0.284
sqr(OC)	Exp	0.00004	0.03148	0.001	0.810	0.177
sqr(CEC)	Gau	0.0014	0.0863	0.016	0.222	0.394
ln(WC_grav)	Exp	– 0.0007	– 0.0235	0.030	0.006	0.013
sqr(WC_TDR)	Exp	– 0.00104	– 0.00286	0.364	0.009	0.020
BD	Exp	– 0.00001	– 0.02102	0.000	0.006	0.295
FI	Exp	0.00025	0.00604	0.041	0.003	0.237

Exp.—exponential model, Lin.—linear model, Gau.—Gaussian model, C₀—nugget variance, C₀ + C—sill, A—effective range (°) (1° = approx. 100 km), R²—coefficient of determination, RSS—root sum square, A_z—anisotropy (°—slope angle), D0—fractal dimension.

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