BC | log(α) | **S1, S2, S4**→ −0.959 − 4.542(Silt) − 2.868(Clay^{2}) + 11.817(Clay)(Silt)
**S3**→ −1.009 − 4.614(Silt) + 0.050(SOM) − 2.838(Clay^{2}) + 11.885(Clay)(Silt)
**S5**→ −0.663 − 1.940(Silt) − 0.321(BD^{2}) + 1.402(Clay^{2}) + 0.063(BD)(SOM) − 0.133(Clay)(SOM)
**S6**→ −1.273 − 3.199(Silt^{2}) − 2.670(Clay^{2}) − 1.419(BD)(Silt) + 9.453(Clay)(Silt) |

| λ | **S1, S4**→ 0.398 + 0.003(Silt) + 0.682(Clay)(Silt)
**S2**→ 0.506 + 0.477(Clay) − 0.777(BD)(Clay) − 0.086(BD)(Silt)
**S3**→ 0.371 − 0.113(Clay)(SOM) + 0.004(Silt)(SOM)
**S5**→ 0.501 + 0.561(Clay) + 0.001(SA) − 1.84 × 10 ^{− 5}(SA^{2}) − 0.833(BD)(Clay) − 0.086 (Silt)(SOM)
**S6**→ 0.983 − 0.754(BD)(θ_{S}) − 0.284(BD)(Clay) |

| θr | **S1, S3, & S4**→ 0.028 − 0.194(Silt^{2}) + 0.434(Clay^{2})
**S2 & S5**→ 0.308 − 0.109(BD^{2}) − 0.055(Clay^{2}) − 0.165(BD)(Silt)
**S6**→ 0.068 + 0.640(θ_{S}^{2}) − 0.283(BD)(θ_{S}) − 0.066(Silt)(SOM) |

| θs | **S1 & S4**→ 0.446 + 1.358(Clay)(Silt)
**S2**→ 0.781 − 0.135(BD^{2}) + 0.124(Clay^{2})
**S3**→ 0.305 + 1.319(Silt) − 1.895(Silt^{2}) + 0.178(Clay)(SOM)
**S5**→ 0.694 + 0.085(SOM) − 0.157(BD^{2}) + 7.06 × 10^{−6}(SA^{2}) + 0.264(BD)(Clay) − 0.187(Clay)(SOM) − 0.001(Silt)(SA) |

FX | Log(α) | **S1, S4**→ −2.036 − 6.063(Silt^{2}) − 1.077(Clay^{2}) + 9.015(Clay)(Silt)
**S2**→ −1.856 + 1.671(BD)(Clay) − 1.764(BD)(Silt)
**S3**→ −1.894 − 4.431(Silt^{2}) − 1.573(Clay^{2}) + 9.542(Clay)(Silt) − 0.773(Silt)(SOM)
**S5**→ −1.769 − 5.589(Silt^{2}) − 1.268(Clay^{2}) − 0.149(BD)(SOM) + 8.405(Clay)(Silt)
**S6**→ −1.555 − 8.899(Silt^{2}) − 0.121(BD)(SOM) − 5.501(θ_{S})(Clay) + 18.627(Clay)(Silt) |

| Log(n) | **S1, S3**→ 0.319 − 0.758(Silt^{2}) + 1.533(Clay^{2})
**S2**→ 1.051 + 4.176(Silt^{2}) − 2.709(BD)(Silt)
**S4**→ 0.475 − 0.541(Silt) + 0.012(Clay)(SA)
**S5, S6**→ 0.767 + 0.454(SOM) − 0.587(BD)(Silt) − 0.426(BD)(SOM) |

| Log(hr) | **S1, S3**→ 2.661 − 1.679(Clay) − 0.094(Silt) + 2.013(Clay^{2})
**S2**→ −1.420(Clay) + 1.426(Clay^{2}) − 0.400(BD)(Silt)
**S4**→ 2.090 + 0.023(SA) + 3.378(Silt^{2}) + 0.176(Clay^{2}) − 5.061(Clay)(Silt) − 0.032(Silt)(SA)
**S5**→ 2.775 − 1.420(Clay) + 1.426(Clay^{2}) − 0.400(BD)(Silt)
**S6**→ 2.666 − 0.007(SA) − 0.059(SOM^{2}) + 3.59 × 10 ^{−4}(SA^{2}) − 2.656(θ_{S})(Clay) + 0.610(Clay)(SOM) − 0.016(Silt)(SA) |

| θs | **S1, S4**→ 0.455 + 1.322(Clay)(Silt)
**S2**→ 0.792 − 0.136(BD^{2}) + 0.093(Clay^{2})
**S3**→ 0.311 + 1.296(Silt) − 1.818(Silt^{2}) + 0.175(Clay)(SOM)
**S5**→ 0.811 + 0.036(SOM) − 0.163(BD^{2}) − 0.020(Clay)(SOM) |

| m | **S1, S3, S4**→ 0.231 + 3.236(Silt) + 2.688(Clay^{2}) − 10.96(Clay)(Silt)
**S2, S5**→ 0.584 − 2.013(Clay) + 1.452(BD)(Silt) + 3.685(Clay^{2}) − 4.835(Clay)(Silt)
**S6**→ 2.133 − 3.130(θ_{S}) + 0.453(Silt)(SOM) |

FX-PDI | Log(α) | **S1, S2, S4**→ −1.071 − 5.543(Silt) − 3.691(Clay^{2}) + 14.613(Clay)(Silt)
**S3**→ 1.111 − 5.497(Silt) − 3.501(Clay^{2}) + 0.015(SOM^{2}) + 14.331(Clay)(Silt)
**S5**→ −1.128 − 5.638(Silt) − 3.652(Clay^{2}) + 0.039(BD)(SOM) + 14.814(Clay)(Silt)
**S6**→ −0.618 − 0.391(BD^{2}) − 2.088(Silt) + 1.788(Clay^{2}) + 0.113(SOM^{2}) + 0.071(BD)(SOM) − 0.629(θ_{S})(SOM) |

| Log(n) | **S1, S2, S4, S5**→ 0.471 − 1.489(Silt) + 3.278(Clay)(Silt)
**S3**→ 0.526 − 1.219(Silt) − 0.011(SOM) + 2.456(Clay)(Silt) + 0.189(Clay)(SOM)
**S6**→ 0.343 − 0.043(BD)(SOM) + 1.399(θ_{S})(Clay) − 1.192(θ_{S})(Silt) |

| θr | **S1, S3**→ 0.023 + 0.210(Silt) − 0.610(Silt^{2}) + 1.125(Clay^{2})
**S2, S5**→ 0.641 − 0.226(BD^{2}) − 0.016(Silt^{2}) − 0.282(BD)(Silt)
**S4**→ 0.060 + 1.015(Clay)(SA) − 0.007(Silt)(SA)
**S6**→ − 0.546 + 1.363(θ_{S}) − 0.605(θ_{S})(Silt) − 0.098(Clay)(SOM) + 0.005(Clay)(SA) |

| θs | **S1, S4**→ 0.453 + 1.315(Clay)(Silt)
**S2**→ 0.786 − 0.135(BD^{2}) + 0.098(Clay^{2})
**S3**→ 0.309 + 1.299(Silt) − 1.831(Silt^{2}) + 0.174(Clay)(SOM)
**S5**→ 0.819 − 0.171(BD^{2}) + 0.026(BD)(SOM) − 0.007(Clay)(SOM) |

| m | **S1**→ 1.179 − 3.118(Clay) + 3.144(Clay^{2})
**S2**→ −0.158 + 0.574(BD)
**S3**→ 0.791 − 0.605(Clay)(SOM)
**S4**→ 0.931 − 1.199(Clay) + 2.20 × 10 ^{−5}(SA^{2})
**S5**→ 0.922 − 0.012(SA) + 1.23 × 10 ^{−4}(SA^{2}) − 0.442(Clay)(SOM)
**S6**→ 1.824 − 1.461(BD)(θ_{S}) − 0.562(Clay)(SOM) |

FX-b-PDI | Log(α_{1}) | **S1**→ −1.926 − 2.231(Silt^{2}) + 2.225(Clay^{2})
**S2**→ −1.609 + 1.772(Clay^{2}) − 1.275(BD)(Silt)
**S3**→ −1.240 − 0.808(SOM) − 2.723(Silt^{2}) + 0.102(SOM^{2}) + 1.103(Clay)(SOM)
**S4**→ −1.939 + 0.001(SA) − 2.198(Silt^{2}) + 2.117(Clay^{2})
**S5**→ −1.140 + 0.016(SOM) −0.022(SOM^{2}) −1.806(BD)(Silt)
**S6**→ −1.470 − 0.048(SOM) − 0.009(SOM^{2}) − 1.896(BD)(Silt) + 0.116(θ_{S})(SOM) + 3.515(Clay)(Silt) − 0.001(SOM)(SA) |

| Log(n_{1}) | **S1, S4**→ 0.389 + 1.006(Clay)(Silt)
**S2, S5**→ 0.587 − 0.083(BD^{2}) + 0.346(Clay)(Silt)
**S3**→ 0.375 + 0.478(Clay)(Silt) + 0.206(Clay)(SOM) **S6**→ 0.310 + 0.385(θ_{s}^{2}) + 0.445(Clay)(Silt) |

| θr | **S1**→ −0.020 + 1.849(Clay)(Silt)
**S2**→ 0.365 − 0.180(BD^{2}) + 0.217(BD)(Clay)
**S3**→ −0.012 + 1.811(Clay)(Silt)
**S4**→ 0.020 + 0.456(Clay)(Silt) + 0.008(Clay)(SA)
**S5**→ 0.421 − 0.177(BD^{2}) − 0.023(BD)(SOM) + 0.002(BD)(SA) + 1.25 × 10^{−4}(SOM)(SA)
**S6**→ 0.163 − 0.184(BD^{2}) + 0.382(BD)(θ_{s}) + 0.005(Clay)(SA) − 0.079(θ_{S})(SOM) + 0.014(BD)(SOM) |

| θs | **S1**→ 0.454 + 1.316(Clay)(Silt)
**S2**→ 0.788 − 0.135(BD^{2}) + 0.096(Clay^{2})
**S3**→ 0.313 + 1.343(Silt) − 1.871(Silt^{2}) + 0.159(Clay)(SOM)
**S4**→ 0.454 + 1.316(Clay)(Silt)
**S5**→ 0.779 − 0.157(BD^{2}) + 0.029(BD)(SOM) − 0.022(Clay)(SOM) + 0.002(Silt)(SA) |

| Log(α_{2}) | **S1**→ −0.988 − 8.727(Silt) + 8.774(Silt^{2}) + 0.324(Clay^{2}) + 7.864(Clay)(Silt)
**S2**→ −2.414 + 0.448(BD) − 2.047(BD)(Silt) + 6.947(Clay)(Silt)
**S3**→ −1.271 − 6.954(Silt) + 6.438(Silt^{2}) + 8.284(Clay)(Silt)
**S4**→ −1.190 − 5.734(Silt) + 5.603(Silt^{2}) − 1.41 × 10 ^{−4}(SA^{2}) + 0.072(Silt)(SA)
**S5**→ −0.334 − 1.015(BD) − 0.438(SOM) + 0.006(SOM)(SA)
**S6**→ −0.460 + 1.843(θ_{s}) − 3.923(BD)(θ_{s}) + 0.008(BD)(SA) |

| Log(n_{2}) | **S1**→ 0.422 + 0.396(Clay^{2})
**S2**→ 1.058 − 0.396(BD) − 0.272(Clay)
**S3**→ 0.400 + 0.541(Clay^{2})
**S4**→ 0.491 − 0.002(Silt)(SA)
**S5**→ 1.314 − 0.538(BD) − 0.218(BD)(Clay) − 0.010(Silt)(SA)
**S6**→ 0.526 − 0.287(θ_{s}^{2}) + 0.136(BD)(Clay) |

| w_{2} | **S1**→ 0.186 + 2.909(Clay) + 3.093(Silt^{2}) − 9.554(Clay)(Silt)
**S2**→ 0.651 − 0.125(BD) − 0.017(Silt)
**S3**→ 0.887 − 1.552(Silt) − 0.183(SOM) + 0.787(Silt)(SOM)
**S4**→ 0.453 + 0.006(SA) + 0.264(Silt^{2}) + 0.905(Clay)(Silt) − 0.029(Silt)(SA)
**S5**→ 0.590 − 0.623(Silt) − 0.051(SOM) + 0.407(Silt)(SOM)
**S6**→ 0.510 + 0.657(Clay)(Silt) + 0.009(Silt)(SA) |

| m_{1} | **S1, S4**→ 0.980 − 1.234(Clay)
**S2, S5, S6**→ −0.319 + 0.711(BD)
**S3**→ 1.059 − 1.471(Clay) |

| m_{2} | **S1, S2**→ 0.617 − 0.061(Silt)
**S3**→ 0.631 − 0.117(Silt)(SOM)
**S4**→ 0.894 − 0.022(SA) + 2.88 × 10^{−4}(SA^{2})
**S5**→ 0.647 − 0.129(Silt)(SOM)
**S6**→ 0.868 − 1.471(θ_{s})(Silt) |

K | Log(hm) | **S1, S3, S4**→ 1.731 + 3.860(Silt) + 1.527(Clay^{2}) − 7.986(Clay)(Silt)
**S2**→ 2.289 + 4.692(Silt^{2}) + 0.691(Clay^{2}) − 5.440(Clay)(Silt)
**S5**→ 1.275 + 0.674(BD) + 0.573(Clay^{2}) + 3.978(Silt^{2}) − 2.841(Clay)(Silt)
**S6**→ 1.110 + 1.202(θ_{S}) − 0.048(SOM) − 0.395(Silt^{2}) + 1.269(Clay^{2}) + 2.803(BD)(Silt) − 6.360(Clay)(Silt) |

| σ | **S1, S2, S4**→ 1.767 − 1.021(Clay) − 0.814(Silt) + 5.650(Clay)(Silt)
**S3**→ 1.520 − 0.015(Silt) + 1.929(Clay)(Silt) + 0.105(Clay)(SOM)
**S5**→ 1.537 − 0.185(BD)(Silt) + 2.142(Clay)(Silt) + 0.180(Silt)(SOM)
**S6**→ 0.473 + 0.714(Clay) + 0.416(Silt^{2}) + 1.393(BD)(θ_{S}) |

| θr | **S1, S4**→ −0.002 + 0.397(Clay) + 0.366(Silt) − 0.797(Silt^{2})
**S2**→ 0.418 − 0.139(BD^{2}) − 0.367(Silt^{2})
**S3**→ −0.019 + 0.421(Clay) + 0.330(Silt) − 0.766(Silt^{2}) + 0.009(SOM^{2})
**S5**→ 0.285 − 0.106(BD^{2}) − 0.356(Silt^{2}) + 0.008(SOM^{2}) + 0.164(BD)(Clay)
**S6**→ −0.019 − 0.134(BD^{2}) − 0.526(Silt^{2}) + 0.570(BD)(θ_{S}) + 0.333(Clay)(Silt) |

| θs | **S1**→ 0.454 + 1.418(Clay)(Silt)
**S2**→ 0.800 − 0.139(BD^{2}) + 0.138(Clay^{2})
**S3**→ 0.307 + 1.368(Silt) − 1.956(Silt^{2}) + 0.187(Clay)(SOM)
**S4**→ 0.454 + 1.418(Clay)(Silt)
**S5**→ 0.838 − 0.175(BD^{2}) + 0.022(BD)(SOM) + 0.009(Clay)(SOM) |

K-PDI | Log(hm) | **S1, S3, S4, S5**→ 1.520 + 4.933(Silt) + 2.512(Clay^{2}) − 12.216(Clay)(Silt)
**S2**→ 1.644 + 0.389(BD) + 5.851(Silt^{2}) + 1.656(Clay2) − 8.069(Clay)(Silt)
**S6**→ 2.046 + 0.805(θ_{S}^{2}) − 0.001(SOM) + 6.834(Silt^{2}) + 2.045(Clay^{2}) − 11.538(Clay)(Silt) |

| σ | **S1, S4**→ 1.092 + 1.998(Silt) − 4.733(Clay)(Silt)
**S2**→ 0.824 + 1.809(Silt) + 0.131(BD^{2}) − 3.559(Clay)(Silt)
**S3**→ 0.973 + 1.738(Silt) + 0.070(SOM^{2}) − 4.104(Clay)(Silt)
**S5**→ 0.448 + 1.915(Silt) + 0.220(BD^{2}) + 0.097(SOM^{2}) − 2.226(Clay)(Silt) − 0.308(Silt)(SOM)
**S6**→ 0.847 + 1.353(BD)(Silt) + 1.178(θ_{S})(Silt) − 5.227(Clay)(Silt) + 0.005(SOM)(SA) |

| θr | **S1, S4**→ −0.007 + 0.692(Clay) + 0.507(Silt) − 1.087(Silt^{2})
**S2**→ 0.337 − 0.088(BD^{2}) − 0.930(Silt^{2}) + 1.604(Clay)(Silt)
**S3**→ −0.019 + 0.708(Clay) + 0.483(Silt) − 1.066(Silt^{2}) + 0.006(SOM^{2})
**S5**→ 0.305 + 0.054(SOM) − 0.093(BD^{2}) − 1.135(Silt^{2}) + 2.046(Clay)(Silt) − 0.128(Clay)(SOM)
**S6**→ −0.362 + 1.084(θ_{S}) − 0.477(Silt^{2}) + 0.003(Clay)(SA) |

| θs | **S1, S4**→ 0.456 + 1.315(Clay)(Silt)
**S2**→ 0.784 − 0.133(BD^{2}) + 0.108(Clay^{2})
**S3**→ 0.360 + 0.658(Silt) − 0.808(Silt^{2}) + 0.641(Clay^{2}) + 0.013(SOM^{2})
**S5**→ 0.457 + 0.219(SOM) + 0.240(BD)(Clay) − 0.159(BD)(SOM) + 0.009(Silt)(SOM) + 3.01 × 10 ^{−4}(SOM)(SA) |

K-b | Log(hm_{1}) | **S1, S2, S3**→ 2.582 + 0.456(Clay^{2})
**S4, S5**→ 2.750 − 0.008(Clay)(SA)
**S6**→ 4.154 − 1.922(BD)(θ_{S}) − 0.010(Clay)(SA) |

| σ_{1} | **S1, S2, S3, S4, S5, S6**→ 1.356 + 0.635(Silt) |

| θr | **S1, S4**→ 0.057 − 0.161(Clay)(Silt)
**S2**→ 0.160 − 0.058(BD) − 0.054(Silt^{2}) − 0.107(BD)(Clay)
**S3**→ 0.044 + 0.005(SOM^{2}) − 0.128(Clay)(Silt)
**S5**→ 0.184 − 0.090(BD) − 0.126(Clay) + 0.026(Silt)(SOM)
**S6**→ −0.025 + 0.268(θ_{S}^{2}) − 0.001(Silt^{2}) + 0.032(BD)(Clay) + 0.220(θ_{S})(Silt) − 0.799(Clay)(Silt) |

| θs | **S1, S4**→ 0.455 + 1.330(Clay)(Silt)
**S2**→ 0.792 − 0.136(BD^{2}) + 0.098(Clay^{2})
**S3**→ 0.317 + 1.269(Silt) − 1.786(Silt^{2}) + 0.176(Clay)(SOM)
**S5**→ 0.813 + 0.035(SOM) − 0.164(BD^{2}) − 0.019(Clay)(SOM) |

| Log(hm_{2}) | **S1**→ 3.348 − 4.328(Silt) + 5.114(Silt^{2}) + 2.456(Clay)(Silt)
**S2**→ 2.229 − 5.031(Clay) − 0.415(Silt) + 6.065(BD)(Clay)
**S3**→ 2.631 − 0.516(Silt^{2}) + 0.524(Clay)(SOM) + 0.023(Silt)(SOM)
**S4**→ 2.766 + 2.57 × 10 ^{−4}(SA^{2}) − 0.875(Clay)
**S5**→ 2.480 + 0.009(SOM)(SA)
**S6**→ 2.470 − 1.440(θ_{S}^{2}) − 0.002(SOM)(SA) + 0.521(θ_{S})(SOM) + 0.018(SA) |

| σ_{2} | **S1**→ 1.417 + 1.936(Clay^{2})
**S2**→ 0.944 − 0.990(Clay^{2}) + 2.205(BD)(Clay)
**S3**→ 1.304 + 0.953(Clay)(SOM)
**S4**→ 1.416 + 1.936(Clay^{2})
**S5, S6**→ 1.306 + 0.010(SOM)(SA) |

| w_{2} | **S1, S2, S3, S4**→ 0.495 + 0.030(Clay)
**S5**→ 0.486 − 0.079(Clay) + 0.001(BD)(SA)
**S6**→ 0.607 + 0.215(Clay) + 0.009(Silt^{2}) − 0.264(BD)(Clay) − 0.188(BD)(Silt) |

K-b-PDI | Log(hm_{1}) | **S1, S2, S3, S4**→ 2.346 − 0.715(Clay^{2})
**S5**→ 2.328 − 0.812(Clay^{2}) + 0.001(SOM)(SA)
**S6**→ 2.219 − 2.759(Clay^{2}) + 1.885(θ_{S})(Clay) + 2.99 × 10^{−4}(SOM)(SA) |

| σ_{1} | **S1, S2, S3, S4, S5**→ 1.107 + 1.719(Clay)(Silt)
**S6**→ 1.501 − 3.464(Clay) − 5.711(θ_{S})(Silt) + 0.516(θ_{S})(SOM) + 15.642(Clay)(Silt) |

| θr | **S1, S3, S4**→ 0.180 − 0.546(Silt) + 2.256(Clay)(Silt)
**S2, S5**→ 0.929 − 0.534(BD) − 0.220(Silt^{2})
**S6**→ −0.342 + 0.933(θ_{S}) − 0.001(SOM) − 0.012(SOM^{2}) + 0.514(θ_{S})(Clay) − 0.460(Clay)(Silt) |

| θs | **S1, S4**→ 0.455 + 1.315(Clay)(Silt)
**S2**→ 0.787 − 0.134(BD^{2}) + 0.100(Clay^{2})
**S3**→ 0.312 + 1.293(Silt) − 1.822(Silt^{2}) + 0.173(Clay)(SOM)
**S5**→ 0.808 + 0.034(SOM) − 0.161(BD^{2}) − 0.017(Clay)(SOM) |

| Log(hm_{2}) | **S1, S2**→ 2.499 − 1.642(Clay^{2})
**S3**→ 2.367 + 0.240(SOM) − 1.705(Clay^{2}) − 0.080(SOM^{2})
**S4**→ 2.422 − 0.012(Clay)(SA)
**S5**→ 2.265 − 0.063(SOM^{2}) + 0.163(BD)(SOM) − 0.010(Clay)(SA)
**S6**→ 1.038 + 1.894(BD)(θ_{S}) − 0.010(Clay)(SA) |

| σ_{2} | **S1, S2, S3**→ 1.247 + 0.343(Clay)(Silt)
**S4, S5**→ 1.327 + 0.003(SA) − 1.469(Silt^{2})
**S6**→ −0.448 + 2.731(BD)(θ_{S}) − 0.319(θ_{S})(SOM) |

| w_{2} | **S1**→ 0.534 + 0.077(Clay) − 0.410(Clay)(Silt)
**S2**→ 0.618 − 0.055(BD) − 0.099(Clay)
**S3**→ 0.342 + 0.245(SOM) − 0.065(SOM^{2})
**S4**→ 0.537 **-** 0.194(Clay)(Silt)
**S5**→ 0.492 + 0.116(Clay) + 0.029(SOM) − 0.480(Clay)(Silt)
**S6**→ 0.337 + 0.130(SOM) **-** 0.059(SOM^{2}) + 0.078(BD)(SOM) + 0.002(Silt)(SA) |

VG | α | **S1, S2, S4**→ −1.186 − 4.644(Silt) − 3.038(Clay^{2}) + 12.213(Clay)(Silt)
**S3**→ −1.241 − 4.723(Silt) + 0.055(SOM) − 3.005(Clay^{2}) + 12.287(Clay)(Silt)
**S5**→ −1.462 − 3.087(Silt) + 0.080(SOM) − 0.019(BD)(SOM) + 5.604(Clay)(Silt)
**S6**→ −1.344 − 0.469(θ_{S}^{2}) − 2.131(BD)(Silt) + 0.061(BD)(SOM) + 4.481(Clay)(Silt) |

| n | **S1**→ 0.216 − 0.100(Silt) − 0.109(Clay)(Silt)
**S2**→ 0.279 − 0.030(BD^{2}) − 0.040(BD)(Silt) − 0.417(Clay)(Silt)
**S3**→ 0.222 − 0.088(Silt) − 0.007(SOM) − 0.127(Clay)(Silt)
**S4**→ 0.192 + 0.109(Clay) − 0.020(Silt) − 0.472(Clay)(Silt)
**S5**→ 0.221 − 0.059(BD)(Silt) − 0.172(Clay)(Silt) − 0.017(Silt)(SOM)
**S6**→ 0.443 − 0.320(BD)(θ_{S}) − 0.048(BD)(Silt) − 0.238(Clay)(Silt) + 0.009(Silt)(SOM) |

| θr | **S1**→ 0.016 + 0.411(Clay) − 0.372(Silt^{2})
**S2**→ 0.296 + 0.115(Clay) − 0.111(BD^{2}) − 0.440(Silt^{2})
**S3**→ 0.043 − 0.939(Silt^{2}) + 0.015(SOM^{2}) + 1.691(Clay)(Silt) − 0.088(Clay)(SOM)
**S4**→ 0.017 + 0.411(Clay) − 0.013(Silt) − 0.354(Silt^{2})
**S5**→ 0.125 + 0.308(Clay) + 0.029(SOM^{2}) − 0.174(BD)(Silt) − 0.068(BD)(SOM)
**S6**→ −0.100 − 0.385(Silt^{2}) + 0.174(BD)(θ_{S}) + 0.624(θ_{S})(Clay) |

| θs | **S1, S4**→ 0.456 + 1.357(Clay)(Silt)
**S2**→ 0.781 − 0.131(BD^{2}) + 0.143(Clay^{2})
**S3**→ 0.335 + 1.182(Silt) − 1.706(Silt^{2}) + 0.183(Clay)(SOM)
**S5**→ 0.815 + 0.033(SOM) − 0.163(BD^{2}) − 0.009(Clay)(SOM) |

VG-PDI | α | **S1, S2, S4**→ −1.241 − 4.335(Silt) − 2.919(Clay^{2}) + 11.276(Clay)(Silt)
**S3**→ −1.509 − 2.870(Silt) + 0.031(SOM^{2}) + 5.128(Clay)(Silt)
**S5**→ −1.545 − 2.947(Silt) + 0.064(BD)(SOM) + 5.326(Clay)(Silt)
**S6**→ −1.442 + 0.013(BD^{2}) + 0.088(SOM^{2}) − 1.826(BD)(Silt) − 0.015(BD)(SOM) − 0.286(θ_{S})(SOM) + 3.633(Clay)(Silt) |

| n | **S1, S2, S4**→ 0.311 − 0.556(Silt) + 1.207(Clay)(Silt)
**S3, S5**→ 0.340 − 0.501(Silt) − 0.031(SOM) + 1.125(Clay)(Silt)
**S6**→ 0.390 − 0.140(θ_{S}^{2}) − 0.369(BD)(Silt) − 0.021(BD)(SOM) + 0.922(Clay)(Silt) |

| θr | **S1, S4**→ 0.018 + 0.875(Clay) − 0.029(Silt) − 0.539(Silt^{2})
**S2**→ 0.260 + 0.613(Clay) − 0.098(BD^{2}) − 0.640(Silt^{2})
**S3**→ 0.016 + 0.840(Clay) − 0.539(Silt^{2}) + 0.032(Clay)(SOM) − 0.021(Silt)(SOM)
**S5**→ 0.256 + 0.618(Clay) − 0.100(BD^{2}) − 0.653(Silt^{2}) + 0.005(BD)(SOM)
**S6**→ −0.100 − 0.140(BD^{2}) − 1.342(Silt^{2}) + 0.716(BD)(θ_{S}) + 1.828(Clay)(Silt) |

| θs | **S1, S4**→ 0.454 + 1.328(Clay)(Silt)
**S2**→ 0.787 − 0.135(BD^{2}) + 0.108(Clay^{2})
**S3**→ 0.312 + 1.289(Silt) − 1.834(Silt^{2}) + 0.178(Clay)(SOM)
**S5**→ 0.746 − 0.141(BD^{2}) + 0.173(Clay^{2}) + 0.027(BD)(SOM) |

VG-b | Log(α_{1}) | **S1, S2, S4**→ −2.389 + 0.456(Silt^{2})
**S3**→ −2.225 − 0.062(SOM^{2})
**S5**→ −2.218 − 0.083(BD)(SOM)
**S6**→ − 0.015 − 3.238(BD)(θ_{S}) |

| Log(n_{1}) | **S1, S2, S4**→ 0.378 − 0.676(Clay)(Silt)
**S3, S5**→ 0.410 + 0.008(SOM) − 0.017(SOM^{2}) − 0.772(Clay)(Silt)
**S6**→ 0.643 − 0.588(θ_{S}) − 0.034(SOM^{2}) + 0.131(θ_{S})(SOM) − 0.170(Clay)(Silt) |

| θr | **S1, S4**→ 0.003 + 0.119(Silt^{2})
**S2, S5**→ 0.015-0.025(Silt^{2}) − 0.057(BD)(Clay) + 0.066(BD)(Silt)
**S3**→ 0.002 + 0.118(Silt^{2}) + 4.51 × 10^{−4}(SOM^{2})
**S6**→ 0.002 + 0.227(Silt) + 0.065(Silt^{2}) − 0.346(θ_{S})(Silt) |

| θs | **S1, S4**→ 0.456 + 1.320(Clay)(Silt)
**S2**→ 0.780 − 0.130(BD^{2}) + 0.115(Clay^{2})
**S3**→ 0.327 + 1.193(Silt) − 1.670(Silt^{2}) + 0.177(Clay)(SOM)
**S5**→ 0.803 + 0.034(SOM) − 0.159(BD^{2}) − 0.011(Clay)(SOM) |

| Log(α_{2}) | **S1, S3**→ −1.298–3.945(Clay) − 5.678(Silt^{2}) + 9.879(Clay)(Silt)
**S2**→ −1.316 − 0.070(BD^{2}) − 2.675(Silt^{2}) − 1.388(BD)(Clay) + 0.583(Clay)(Silt)
**S4**→ −2.135 − 0.006(Silt)(SA)
**S5**→ −2.246 + 0.002(BD)(SA)
**S6**→ −1.235 − 1.756(BD)(θ_{S}) + 0.205(BD)(SOM) |

| Log(n_{2}) | **S1, S2, S3, S4, S5, S6**→ 0.228 + 0.367(Silt) |

| w_{2} | **S1, S2, S3, S4, S5, S6**→ 0.496 − 0.220(Silt) + 0.582(Silt^{2}) |

VG-b-PDI | Log(α_{1}) | **S1, S4**→ −1.576 − 4.139(Clay) − 4.883(Silt^{2}) + 13.717(Clay)(Silt)
**S2**→ −1.908 − 0.443(BD)(Silt) + 0.250(Clay)(Silt)
**S3**→ −2.014 + 0.236(Clay^{2}) − 0.179(Silt)(SOM)
**S5**→ −1.844 − 0.086(BD^{2}) − 0.191(Silt)(SOM)
**S6**→ −1.064 − 0.311(BD^{2}) − 1.289(θ_{S}^{2}) − 0.105(Silt)(SOM) |

| Log(n_{1}) | **S1**→ 0.502 − 0.080(Silt) + 0.025(Clay^{2}) − 1.172(Clay)(Silt)
**S2**→ 0.697 − 1.143(Silt) + 1.216(Silt^{2}) − 0.283(BD)(Clay)
**S3**→ 0.487 + 0.230(Silt^{2}) + 0.389(Clay^{2}) − 1.974(Clay)(Silt)
**S4**→ 0.448 − 0.003(SA) − 0.425(Silt^{2}) + 4.06 × 10^{−5}(SA^{2})
**S5**→ 0.361 − 0.297(Silt^{2}) − 3.57 × 10^{−5}(SA^{2}) + 0.002(BD)(SA)
**S6**→ 0.320 − 0.310(Silt^{2}) − 3.35 × 10 ^{−5}(SA^{2}) + 0.062(BD)(θ_{S}) + 0.002(BD)(SA) |

| θr | **S1, S3, S4**→ 0.025 + 1.200(Clay)(Silt)
**S2**→ 0.501 − 0.262(BD) + 0.631(Silt^{2}) − 0.243(BD)(Silt)
**S5**→ 0.203 + 1.532(Silt^{2}) + 2.97 × 10^{−5}(SA^{2}) − 0.651(BD)(Silt)
**S6**→ −0.195 + 0.590(θ_{S}) − 0.317(Silt) + 0.660(Silt^{2}) − 0.001(SOM^{2}) + 2.19 × 10^{−5}(SA^{2}) |

| θs | **S1, S4**→ 0.454 + 1.321(Clay)(Silt)
**S2**→ 0.787 − 0.135(BD^{2}) + 0.100(Clay^{2})
**S3**→ 0.310 + 1.301(Silt) − 1.828(Silt^{2}) + 0.173(Clay)(SOM)
**S5**→ 0.773 + 0.041(SOM) − 0.150(BD^{2}) + 5.26 × 10^{−6}(SA^{2}) − 0.040(Clay)(SOM) + 0.001(Silt)(SA) |

| Log(α_{2}) | **S1, S3**→ −2.307 + 2.306(Clay^{2})
**S2**→ −2.012 − 0.141(BD^{2}) + 1.759(Clay^{2})
**S4**→ −2.278 − 1.677(Clay) + 0.017(SA) + 6.323(Clay^{2}) − 0.042(Clay)(SA)
**S5**→ −2.269 + 0.008(BD)(SA)
**S6**→ 0.685 − 0.327(BD^{2}) − 3.022(BD)(θ_{S}) + 1.94 × 10^{−4}(SOM)(SA) |

| Log(n_{2}) | **S1, S3**→ 0.336 − 0.486(Clay)(Silt)
**S2**→ −0.057 + 0.175(BD^{2}) + 0.180(BD)(Clay)
**S4**→ 0.343 − 0.006(Silt)(SA)
**S5**→ −0.726 + 0.680(BD) + 1.658(Clay)(Silt)
**S6**→ 0.332 + 0.006(SA) − 0.019(θ_{S})(SA) + 0.015(Silt)(SA) |

| w_{2} | **S1, S3, S4**→ 0.673 − 1.012(Clay)(Silt)
**S2, S5, S6**→ 0.722 − 0.020(BD^{2}) − 1.174(Clay)(Silt) |

VG_{m} | Log(α) | **S1, S2**→ −1.803 − 10.338(Silt^{2}) − 4.471(Clay^{2}) + 17.146(Clay)(Silt)
**S3**→ −0.728 − 7.770(Silt) − 5.066(Clay^{2}) + 0.019(SOM^{2}) + 20.084(Clay)(Silt)
**S4**→ −0.680 − 7.826(Silt) − 5.296(Clay^{2}) + 20.425(Clay)(Silt)
**S5**→ −1.597 + 0.036(SOM) − 0.111(BD2) − 10.071(Silt^{2}) − 4.335(Clay^{2}) + 15.972(Clay)(Silt)
**S6**→ −1.488 + 3.123(Clay) + 0.021(SOM^{2}) − 2.398(BD)(Silt) − 1.847(θ_{S})(Clay) |

| Log(n) | **S1, S2, S3, S4, S5**→ 0.611 − 1.993(Silt) + 4.257(Clay)(Silt)
**S6**→ 0.618 − 2.008(Silt) + 4.349(Clay)(Silt) − 0.032(Clay)(SOM) |

| θr | **S1, S3**→ 0.025 + 0.185(Silt) − 0.386(Silt^{2}) + 0.355(Clay^{2})
**S2**→ 0.436 − 0.249(BD) + 0.002(Silt^{2}) − 0.099(BD)(Silt)
**S4**→ 0.018 + 0.274(Silt) − 0.500(Silt^{2}) + 0.003(Clay)(SA)
**S5**→ 0.445 − 0.271(BD) − 0.190(Silt^{2})
**S6**→ −0.306 + 0.777(θ_{S}) + 1.99 × 10^{−5}(SA^{2}) − 0.184(θ_{S})(Silt) − 0.025(Clay)(SOM) − 0.005(Silt)(SA) |

| θs | **S1, S4**→ 0.457 + 1.303(Clay)(Silt)
**S2**→ 0.778 − 0.129(BD^{2}) + 0.116(Clay^{2})
**S3**→ 0.341 + 1.112(Silt) − 1.571(Silt^{2}) + 0.177(Clay)(SOM)
**S5**→ 0.808 + 0.039(SOM) − 0.162(BD^{2}) − 0.025(Clay)(SOM) |

| Log(m) | **S1, S4**→ −0.394 − 4.345(Clay) + 1.782(Silt) + 3.577(Clay^{2})
**S2**→ −0.648 − 1.738(BD)(Clay) + 1.337(BD)(Silt)
**S3**→ −0.393 − 4.326(Clay) + 1.782(Silt) + 3.543(Clay^{2}) − 0.001(SOM^{2})
**S5, S6**→ −0.635 − 0.005(SOM^{2}) − 1.750(BD)(Clay) + 1.342(BD)(Silt) |

VG_{m}-PDI | Log(α) | **S1, S4**→ −1.927 − 8.150(Silt^{2}) − 3.484(Clay^{2}) + 14.055(Clay)(Silt)
**S2**→ −1.819 − 10.975(Silt^{2}) − 4.945(Clay^{2}) + 16.931(Clay)(Silt)
**S3**→ −2.063 − 7.678(Silt^{2}) − 2.788(Clay^{2}) + 0.035(SOM^{2}) + 13.143(Clay)(Silt)
**S5, S6**→ −1.900 − 10.393(Silt^{2}) − 4.004(Clay^{2}) + 0.040(SOM^{2}) + 15.146(Clay)(Silt) |

| Log(n) | **S1**→ 0.089 + 1.372(Clay) − 1.150(Silt^{2})
**S2**→ 0.563 + 0.586(Clay) − 1.228(BD)(Silt)
**S3**→ 0.217 − 2.416(Silt^{2}) + 0.009(SOM^{2}) + 4.377(Clay)(Silt) − 0.035(Silt)(SOM)
**S4**→ 0.194 + 0.016(SA) − 0.026(Silt)(SA)
**S5**→ 0.564 − 1.097(BD)(Silt) + 0.004(SOM)(SA)
**S6**→ −0.191 + 2.172(θ_{S}) − 0.009(BD)(SA) − 4.590(θ_{S})(Silt) + 3.475(Clay)(Silt) − 0.559(Clay)(SOM) + 0.009(SOM)(SA) |

| θr | **S1, S3, S4**→ 0.152 − 0.557(Silt^{2}) + 1.119(Clay^{2})
**S2, S5**→ 0.243 − 0.705(Silt^{2}) + 0.617(Clay^{2})
**S6**→ −0.359 − 2.393(Silt^{2}) + 1.391(BD)(θ_{S}) − 0.628(BD)(Clay) + 3.541(Clay)(Silt) |

| θs | **S1, S4**→ 0.552 − 0.313(Silt) + 1.347(Clay)(Silt)
**S2**→ 0.740 + 0.223(Silt) − 0.268(BD^{2}) − 0.276(Clay^{2})
**S3**→ 0.438 + 1.279(Clay)(Silt) + 0.046(Silt)(SOM)
**S5**→ 0.750 + 0.095(SOM) − 0.279(BD^{2}) − 0.205(Clay)(SOM) |

| Log(m) | **S1**→ 0.062 − 5.386(Silt) + 9.343(Silt^{2})
**S2**→ −0.877 + 0.486(BD^{2})
**S3**→ −0.622 + 0.614(SOM) − 0.226(SOM^{2}) − 2.088(Clay^{2})
**S4**→ −0.328 − 0.352(Clay) + 6.84 × 10^{−5}(SA^{2}) − 0.021(Clay)(SA)
**S5**→ −0.849 + 0.483(BD^{2}) − 0.144(SOM^{2}) + 0.705(Silt)(SOM)
**S6**→ −0.146 − 1.321(θ_{S})(SOM) + 1.542(Silt)(SOM) |

VG_{m}-b | Log(α_{1}) | **S1, S2, S3**→ −1.356 − 6.170(Silt) − 7.060(Clay^{2}) + 17.793(Clay)(Silt)
**S4**→ −2.806 + 0.037(SA) − 0.053(Clay)(SA)
**S5**→ −2.536-0.011(BD)(SA)
**S6**→ −1.834 − 1.551(BD)(θ_{S}) |

| Log(n_{1}) | **S1**→ 0.237 + 2.284(Silt^{2}) − 0.922(Clay^{2})
**S2**→ −0.319 + 2.216(BD)(Silt)
**S3**→ −0.005 + 1.693(Silt) − 0.447(Clay)(SOM)
**S4**→ 0.237 + 2.284(Silt^{2}) − 0.922(Clay^{2})
**S5**→ 0.097 + 0.499(BD)(Silt) + 0.499(Silt)(SOM)
**S6**→ −0.440 + 0.753(θ_{S}) + 1.259(BD)(Silt) |

| θr | **S1, S4**→ 0.019 + 0.859(Silt^{2}) − 0.285(Clay^{2})
**S2**→ 0.120 + 2.141(Silt^{2}) − 1.078(Clay^{2}) + 0.533(BD)(Clay) − 0.968(BD)(Silt)
**S3**→ 0.001 + 0.835(Silt^{2}) − 0.257(Clay^{2}) + 0.009(SOM^{2})
**S5**→ −0.010 − 0.260(Silt^{2}) − 0.114(Clay^{2}) + 0.154(BD)(Silt) + 3.57 × 10^{−4}(SOM)(SA)
**S6**→ 0.027 − 0.177(Clay^{2}) + 0.031(θ_{S})(Silt) + 3.06 × 10^{−4}(SOM)(SA) |

| θs | **S1, S4**→ 0.378 + 0.281(Silt) + 0.463(Clay)(Silt)
**S2**→ 0.743 + 0.215(Silt) − 0.267(BD^{2}) − 0.282(Clay^{2})
**S3**→ 0.396 + 0.582(Clay)(Silt) + 0.147(Silt)(SOM)
**S5**→ 0.836 + 0.050(SOM) − 0.183(BD^{2}) − 0.057(Clay)(SOM) |

| Log(α_{2}) | **S1**→ −1.936 − 2.545(Silt^{2}) + 2.001(Clay)(Silt)
**S2**→ −1.271 − 0.517(BD) − 2.025(Silt^{2})
**S3**→ −2.122 − 0.053(SOM^{2}) + 0.628(Clay)(SOM)
**S4**→ −2.448 + 0.032(SA) + −3.84 × 10^{−4}(SA^{2})
**S5**→ −2.161 − 0.086(SOM^{2}) − 0.016(Clay)(SA) + 0.010(SOM)(SA)
**S6**→ −1.126 − 1.653(BD)(θ_{s}) + 0.003(SOM)(SA) |

| Log(n_{2}) | **S1**→ 0.409 + 0.149(Clay) − 0.096(Silt)
**S2**→ 2.146 − 1.477(BD) − 2.658(Clay)(Silt)
**S3**→ 0.302 + 0.161(Clay) − 0.084(SOM) + 0.469(Silt)(SOM)
**S4**→ 0.307 + 0.051(Clay) − 1.79 × 10 ^{−4}(SA^{2}) + 0.037(Silt)(SA)
**S5**→ 0.938 − 0.423(BD) − 0.560(Clay)(Silt)
**S6**→ 0.154 + 0.559(θ_{s}^{2}) |

| w_{2} | **S1, S2, S4**→ 0.391 + 0.602(Silt^{2})
**S3**→ 0.451 − 0.062(SOM) + 0.736(Silt^{2})
**S5, S6**→ 0.585 − 0.563(Silt^{2}) + 0.022(BD)(SOM) |

| Log(m_{1}) | **S1**→ −0.618 + 0.238(Clay)(Silt)
**S2**→ −0.552 + 0.456(BD) + 5.074(Silt^{2}) − 3.362(BD)(Silt)
**S3**→ −0.468 + 0.127(Clay) − 0.494(SOM) + 0.083(SOM^{2}) + 0.680(Silt)(SOM)
**S4**→ −0.483 − 0.014(SA) + 0.037(Silt)(SA)
**S5**→ 0.433 − 0.773(BD) − 9.964(Silt^{2}) + 3.258(BD)(Silt)
**S6**→ −0.418 − 0.645(θ_{s}^{2}) + 0.025(θ_{s})(SA) − 0.014(Clay)(SA) |

| Log(m_{2}) | **S1, S3**→ −0.275 − 2.238(Clay)(Silt)
**S2**→ −1.630 + 1.152(BD)
**S4**→ −0.318 − 0.021(Silt)(SA)
**S5, S6**→ −1.101 + 0.569(BD) |

VG_{m}-b-PDI | Log(α_{1}) | **S1** − **5**→ −2.475 + 0.556(Clay)
**S6**→ 0.635 − 4.245(BD)(θ_{s}) + 0.329(BD)(Clay) |

| Log(n_{1}) | **S1**→ 0.226 + 3.283(Silt^{2}) − 0.629(Silt) − 0.469(Clay)(Silt)
**S2**→ 0.125 + 2.711(Silt^{2}) − 0.222(BD)(Silt)
**S3, S5, S6**→ 0.127 + 0.155(Clay)(Silt) + 0.457(Silt)(SOM)
**S4**→ 0.134 + 2.418(Silt^{2}) − 0.600(Clay)(Silt) |

| θr | **S1, S3, S4**→ 0.061 + 0.810(Clay)(Silt)
**S2, S5**→ 0.026 + 0.261(BD)(Clay) + 0.149(Clay)(Silt)
**S6**→ 0.114 − 0.516(θ_{s})(Silt) + 1.199(Clay)(Silt) |

| θs | **S1, S4**→ 0.455 + 1.313(Clay)(Silt)
**S2**→ 0.787 − 0.134(BD^{2}) + 0.099(Clay^{2})
**S3**→ 0.312 + 1.294(Silt) − 1.821(Silt^{2}) + 0.172(Clay)(SOM)
**S5**→ 0.773 + 0.042(SOM) − 0.150(BD^{2}) + 5.86 × 10 ^{−6}(SA^{2}) − 0.042(Clay)(SOM) + 0.001(Silt)(SA) |

| Log(α_{2}) | **S1**→ −1.571 − 2.743(Silt) − 2.793(Clay^{2}) + 8.305(Clay)(Silt)
**S2**→ −1.675 − 1.160(Silt) − 0.050(BD^{2}) + 1.709(Clay)(Silt)
**S3, S4**→ −1.778 − 1.233(Silt) + 2.161(Clay)(Silt)
**S5**→ −1.861 + 0.070(BD) − 1.604(Silt) + 2.594(Clay)(Silt) + 0.171(Silt)(SOM)
**S6**→ −1.687 − 0.465(θ_{s}^{2}) + 0.028(SOM^{2}) − 0.948(BD)(Silt) + 2.175(Clay)(Silt) |

| Log(n_{2}) | **S1, S3, S4**→ 0.525 − 0.494(Silt^{2})
**S2, S5**→ 0.778 − 0.638(Silt^{2}) − 0.598(BD)(Clay)
**S6**→ 0.412 − 0.706(Silt^{2}) + 0.514(BD)(θ_{s}) − 0.590(BD)(Clay) |

| w_{2} | **S1**→ 0.229 + 0.587(Silt) + 0.399(Clay^{2})
**S2, S5**→ 0.386 + 0.209(BD)(Silt)
**S3, S4**→ 0.267 + 0.450(Clay) + 1.009(Silt^{2}) − 0.558(Clay)(Silt)
**S6**→ 0.583 − 0.164(BD)(θ_{s}) |

| Log(m_{1}) | **S1**→ −0.458 − 1.166(Silt^{2})
**S2**→ −1.113 + 0.347(BD^{2})
**S3**→ −0.175 − 1.331(Clay^{2}) − 0.097(Clay)(SOM) − 0.465(Silt)(SOM)
**S4**→ −0.384 − 0.021(Silt)(SA)
**S5**→ 0.001 − 1.293(Silt) − 0.005(BD)(SA)
**S6**→ 0.382 − 1.509(θ_{s}) − 0.051(SOM) |

| Log(m_{2}) | **S1, S3**→ − 0.307 + 0.736(Clay) − 1.272(Silt)
**S2**→ −0.401 − 1.273(Silt) + 0.868(BD)(Clay)
**S4**→ −0.079 − 1.255(Silt) + 0.001(SA)
**S5**→ −0.010 − 1.325(Silt) − 0.001(BD)(SA)
**S6**→ −0.448 − 1.374(Silt) + 0.688(BD)(θ_{s}) − 0.021(BD)(SOM) − 0.001(BD)(SA) |