Fig. 1.

Fig. 2.

Fig. 3.

Fig. 4.

Fig. 4.

Descriptive statistics for soil properties at 0–20 cm depth in the study area_
| Soil parameter | Descriptive statistics | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Unit | N | Mean | Max | Min | SD | Variance | Skewness | Kurtosis | |
| Saturated hydraulic conductivity | mm · h−1 | 70 | 380.68 | 679.06 | 32.60 | 147.61 | 21,791.200 | 0.852 | –0.112 |
| Bulk density | g · cm−1 | 70 | 0.82 | 1.43 | 1.17 | 0.13 | 0.019 | –0.437 | 0.219 |
| Porosity | (%) | 70 | 45.00 | 68.53 | 54.60 | 5.26 | 27.699 | 0.437 | 0.219 |
| Water content | (%) | 70 | 0.74 | 49.39 | 18.88 | 7.96 | 63.393 | 0.844 | 2.695 |
| Water | –log[H+] | 70 | 7.06 | 8.64 | 7.84 | 0.41 | 0.171 | –0.123 | –0.926 |
| Electrical conductivity | μS · cm−1 | 70 | 24.30 | 1414.00 | 289.65 | 293.78 | 86,309.040 | 1.884 | 3.568 |
| Total dissolved solids | mg · l−1 | 70 | 11.87 | 750.00 | 171.75 | 168.34 | 28,339.940 | 1.908 | 3.826 |
| Organic matter | (%) | 70 | 2.53 | 27.98 | 9.72 | 4.12 | 17.047 | 1.869 | 5.996 |
| CaCo3 | (%) | 70 | 1.50 | 16.20 | 5.63 | 2.39 | 5.736 | 1.869 | 5.996 |
| Clay | (%) | 70 | 7.00 | 61.30 | 38.89 | 14.09 | 198.600 | –0.775 | –0.440 |
| Silt | (%) | 70 | 13.00 | 81.26 | 41.47 | 15.03 | 226.135 | 0.662 | 0.266 |
| Sand | (%) | 70 | 2.25 | 34.85 | 17.25 | 6.11 | 37.406 | 0.670 | 0.883 |
Pearson correlation analysis of soil variables in the study area_
| Soil parameter | Correlations | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Clay | Silt | Sand | Organic carbon | pH H2O | Water content | Porosity | Bulk density | Saturated hydraulic conductivity | |
| Clay | 1 | ||||||||
| Silt | –0.906** | 1 | |||||||
| Sand | –0.022 | –0.355** | 1 | ||||||
| Organic carbon | 0.168 | –0.064 | –0.179 | 1 | |||||
| pH H2O | –0.045 | –0.018 | 0.087 | –0.429** | 1 | ||||
| Water content | –0.124 | 0.040 | 0.249* | –0.225 | 0.314** | 1 | |||
| Porosity | –0.089 | –0.118 | 0.455** | 0.015 | –0.079 | 0.224 | 1 | ||
| Bulk density | 0.089 | 0.118 | –0.455** | –0.015 | 0.079 | –0.224 | –1.000** | 1 | |
| Saturated hydraulic conductivity | –0.295* | 0.264* | 0.068 | –0.040 | 0.069 | 0.333** | –0.117 | 0.117 | 1 |
Best suited variogram models and Moran’s I_
| Soil parameter | Semi-variogram model | Nugget C0 | Sill (C0 + C) | N/S [%] | Range [m] | Moran’s I |
|---|---|---|---|---|---|---|
| pH (water) | Spherical | 0.0196 | 98.67 | 77.47 | 23,943.08 | 0.097 |
| Electrical conductivity | Spherical | 0.0015 | 32.25 | 20.27 | 36,857.24 | –0.168 |
| CaCO3 | Spherical | 0.0164 | 125.99 | 71.28 | 38,431.47 | 0.188 |
| Organic carbon | Spherical | 0.0095 | 138.88 | 62.95 | 20,929.04 | –0.184 |
| Sand | Spherical | 0.0016 | 98.44 | 52.48 | 5738.90 | 0.070 |
| Clay | Spherical | 0.0183 | 68.80 | 86.05 | 37,250.14 | –0.002 |
| Silt | Spherical | 0.0038 | 22.60 | 48.89 | 5939.51 | –0.163 |
| Porosity | Spherical | 0.0192 | 168.97 | 41.56 | 10,851.70 | 0.231 |
| Saturated hydraulic conductivity | Spherical | 0.0042 | 114.51 | 28.70 | 5838.28 | 0.201 |
| Organic matter | Spherical | 0.0147 | 121.40 | 56.65 | 5215.99 | –0.162 |
| pH (KCl) | Spherical | 0.0031 | 92.53 | 53.84 | 20,617.10 | 0.219 |
| Total dissolved solids | Spherical | 0.0172 | 5.37 | 88.92 | 11,538.66 | –0.140 |
| Water content | Exponential | 0.0010 | 0.85 | 30.59 | 23,207.25 | –0.220 |
| Bulk density | Spherical | 0.0112 | 151.38 | 36.13 | 39,548.55 | 0.296 |
Cross-validation metrics for 14 soil parameters_
| Soil parameter | Mean error | Root mean square error RMSE | Root mean square standardised error RMSSE | Average standard error |
|---|---|---|---|---|
| pH (water) | –8.98E–07 | 0.0086 | 0.8049 | 0.0107 |
| Electrical conductivity | –0.00026496 | 5.7996 | 0.7820 | 7.4201 |
| CaCO3 | –0.000938 | 0.0183 | 0.8570 | 0.0214 |
| Organic carbon | –0.000006 | 0.0399 | 0.7782 | 0.0511 |
| Sand | –0.000056 | 0.1373 | 0.8078 | 0.1702 |
| Clay | –0.000201 | 0.4317 | 0.8036 | 0.5378 |
| Silt | 0.000049 | 0.3668 | 0.3026 | 1.2130 |
| Porosity | 0.000015 | 0.1693 | 0.6288 | 0.2693 |
| Saturated hydraulic conductivity | 0.000110 | 4.8441 | 0.8058 | 6.0197 |
| Organic matter | –0.000103 | 0.0687 | 0.7782 | 0.0884 |
| pH (KCl) | –0.000705 | 0.0086 | 0.8049 | 0.0107 |
| Total dissolved solids | 0.000001 | 0.1381 | 0.8409 | 0.1649 |
| △θ | –0.000015 | 0.0141 | 0.7615 | 0.0186 |
| Bulk density | –1.68E–07 | 0.0032 | 0.8349 | 0.0039 |