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Table 7 Results of spatial correlation analysis and the fitted models

From: Risk assessment of heavy metal soil pollution through principal components analysis and false color composition in Hamadan Province, Iran

Element No. sample Interpolation method Model Nugget (C0) (mg/kg) Partial sill (C) (mg/kg) Sill (C0+C) (mg/kg) Major range
(km)
Mean RMS Root- mean standardized Trend MAE (mg/kg) MBE (mg/kg) Anisotropy
                Isotropy
As 286 Disjunctive kriging Exponential 0.4 0.8 1.2 106 0.076 7.085 1.16 no 5.13 0.076   344.5
Zn 286 Disjunctive kriging Exponential 0.36 0.54 0.9 29.39 −0.059 14.6 1.046 no 11.48 0.059 *  
Cu 286 Radial basis function - - - - - .068 9.3 - - 7.42 0.045 - -
V 286 Disjunctive kriging Exponential 0.31 0.6 0.91 16.919 −0.92 19.22 1.003 no 14.85 .094 *  
Ni 286 Ordinary kriging Spherical 177.29 437.7 614.99 178 .034 15.98 1.068 no 12.54 .34 *  
Co 286 Ordinary kriging Exponential 7.89 10.67 18.56 178.01 0.0005 3.21 1.025 no 2.53 0.005 *  
Pb 286 Disjunctive kriging Exponential 0.39 0.49 0.88 13.49 0.018 6.68 1.09 no 4.06 0.018 *  
Cd 286 Radial basis function - - - - - 0.002 0.097 - - 0.67 0.002 - -
Fe 286 Disjunctive kriging Exponential 0.52 0.7 1.22 123.97 0.0005 0.58 1.05 no 0.46 0.00005 *  
Cr 286 Ordinary kriging Exponential 241 669 910 178 0.006 20 1.11 no 16.25 0.006 *  
Sb 286 Ordinary kriging Exponential 0.086 0.111 0.197 178 0.042 0.35 1.14 - 0.74 0.0048   325.5