Multiple Regression (MR)

Dependent variables

Intercept & predictor variables

Parameter #

Regr.

±SE

t-value

p-value

R²

RMSE

n

MC_PS (%)

Intercept

70.883

6.326

11.205

<0.0001

0.47

11.69

394

Equation (2)

Elevation

1

−0.091

0.013

−6.937

<0.0001

HW Blocks

2

10.224

2.136

4.788

<0.0001

MC_PS,DTW

3

0.262

0.073

3.589

0.0003

OM_DSM

4

−0.981

0.278

−3.529

0.0005

Tracks

5

4.090

1.233

3.316

0.001

log₁₀DTW

6

−2.764

0.926

−2.986

0.003

CI (MPa)

Intercept

1.599

0.159

10.06

<0.0001

0.41

0.571

372

Equation (3)

Tracks

1

0.76

0.064

11.91

<0.0001

SW Blocks

2

0.397

0.064

6.2

<0.0001

MC_PS

3

−0.011

0.002

−5.98

<0.0001

Depth

4

0.025

0.002

9.9

0.0583

Rut depth (cm)

Intercept

18.880

6.592

2.864

0.0004

0.28

9.094

207

Equation (4)

log₁₀Passes

1

14.327

1.856

7.721

<0.0001

log₁₀NCI

2

−22.213

10.625

−2.091

0.038

log₁₀DTW_FIA

3

−2.669

1.071

−2.492

0.014

Equation (5)

a/NCI_adj × Passes^bNCIadj

0.32

9.000

207

a

40.886

3.275

12.728

<0.0001

b

0.072

0.007

9.676

<0.0001

Random Forest (RF)

Dependent

variables

Variable

Parameter #

% Mean Decrease Accuracy

Variable

Importance

R²

RMSE

n

MC_PS (%)

MC_PS,DTW

1

191.04

53332.12

0.91

4.962

394

Elevation

2

180.54

32079.21

OM_DSM

3

38.17

16292.63

CI (MPa)

Tracks

1

0.224

33.20

0.88

0.263

372

Depth

2

0.159

37.43

Elevation

3

0.108

49.27

MC_PS,RF

4

0.097

47.64

Sand_DSM

5

0.070

36.86

Rut depth (cm)

Passes

1

71.77

7121.22

0.84

4.307

207

NCI_RF

2

24.26

5744.51

DTW_FIA

3

11.35

5971.05

CF

4

0.65

3813.68