Explanatory variable

α

β1

β2

β3

Adjusted R2

Regression formula 1

X1: Crown area

Average

6.6312

0.5834

0.5719

Minimum

6.3783

0.5605

0.5206

Maximum

6.9403

0.6007

0.6060

SD

0.1721

0.0119

0.0221

Regression formula 2

X1: Crown surface area

Average

10.4153

0.2534

0.3528

Minimum

10.0644

0.2356

0.2967

Maximum

10.9553

0.2669

0.3854

SD

0.2553

0.0084

0.0231

Regression formula 3

X1: Crown volume

Average

14.0008

0.1964

0.3899

Minimum

13.8079

0.1851

0.3346

Maximum

14.3428

0.2030

0.4204

SD

0.1747

0.0051

0.0221

Regression formula 4

X1: Crown area

X2: Tree height

Average

3.1333

0.3357

0.4583

0.7428

Minimum

2.9819

0.3145

0.4321

0.7154

Maximum

3.2636

0.3582

0.4747

0.7611

SD

0.0866

0.0138

0.0124

0.0160

Regression formula 5

X1: Crown surface area X2: Tree height

Average

2.9530

0.1450

0.5761

0.7236

Minimum

2.8141

0.1354

0.5579

0.6981

Maximum

3.0678

0.1536

0.5922

0.7440

SD

0.0891

0.0064

0.0101

0.0147

Regression formula 6

X1: Crown volume

X2: Tree height

Average

3.6518

0.1121

0.5606

0.7301

Minimum

3.5121

0.1053

0.5427

0.7040

Maximum

3.8132

0.1195

0.5770

0.7524

SD

0.1041

0.0046

0.0102

0.0151

Regression formula 7

X1: Crown area

X2: Crown length

Average

6.0423

0.6694

-0.0746

0.5805

Minimum

5.7933

0.6460

-0.0944

0.5317

Maximum

6.3018

0.6922

-0.0569

0.6101

SD

0.1597

0.0158

0.0115

0.0217

Regression formula 8

X1: Crown area

X2: Crown length ratio

Average

8.3255

0.6655

−0.1330

0.6399

Minimum

7.9146

0.6451

−0.1490

0.6005

Maximum

8.8529

0.6791

−0.1162

0.6598

SD

0.3106

0.0099

0.0094

0.0197

Regression formula 9

X1: Crown area

X2: Tree height

X3: Crown length

Average

3.1638

0.2829

0.4798

0.0354

0.7431

Minimum

3.0087

0.2508

0.4576

0.0129

0.7153

Maximum

3.3055

0.3174

0.4957

0.0453

0.7622

SD

0.0914

0.0175

0.0121

0.0094

0.0161

Regression formula 10

X1: Crown area

X2: Tree height

X3: Crown length ratio

Average

2.6764

0.2809

0.5171

0.0367

0.7433

Minimum

2.4865

0.2476

0.4732

0.0146

0.7156

Maximum

3.0199

0.3149

0.5352

0.0472

0.7626

SD

0.1327

0.0177

0.0171

0.0093

0.0160