Explanatory variable

α

β1

β2

β3

Adjusted R2

Regression formula 1

X1: Crown area

Average

9.6092

0.4632

0.6324

Minimum

9.1265

0.4367

0.5875

Maximum

10.2193

0.4888

0.6524

SD

0.3124

0.0145

0.0188

Regression formula 2

X1: Crown surface area

Average

12.8289

0.2071

0.4399

Minimum

12.4174

0.1967

0.3949

Maximum

13.3491

0.2165

0.4777

SD

0.3059

0.0063

0.0235

Regression formula 3

X1: Crown volume

Average

15.9813

0.1704

0.4946

Minimum

15.6750

0.1608

0.4529

Maximum

16.4873

0.1766

0.5272

SD

0.2779

0.0052

0.0215

Regression formula 4

X1: Crown area

X2: Tree height

Average

4.7868

0.3779

0.2992

0.7158

Minimum

4.4752

0.3569

0.2538

0.6883

Maximum

5.5837

0.3967

0.3186

0.7343

SD

0.3078

0.0113

0.0179

0.0137

Regression formula 5

X1: Crown surface area X2: Tree height

Average

3.7795

0.1734

0.4549

0.6737

Minimum

3.5521

0.1685

0.4133

0.6450

Maximum

4.3115

0.1791

0.4706

0.6930

SD

0.2105

0.0037

0.0162

0.0154

Regression formula 6

X1: Crown volume

X2: Tree height

Average

5.0669

0.1399

0.4203

0.6880

Minimum

4.7812

0.1347

0.3794

0.6617

Maximum

5.7777

0.1448

0.4365

0.7072

SD

0.2789

0.0033

0.0160

0.0147

Regression formula 7

X1: Crown area

X2: Crown length

Average

9.7154

0.4472

0.0146

0.6304

Minimum

9.1699

0.4206

0.0034

0.5872

Maximum

10.2433

0.4813

0.0254

0.6507

SD

0.3143

0.0164

0.0074

0.0185

Regression formula 8

X1: Crown area

X2: Crown length ratio

Average

10.0781

0.4889

−0.0316

0.6362

Minimum

9.7027

0.4645

−0.0379

0.5891

Maximum

10.7685

0.5181

−0.0256

0.6572

SD

0.3191

0.0152

0.0039

0.0192

Regression formula 9

X1: Crown area

X2: Tree height

X3: Crown length

Average

4.5598

0.2987

0.3397

0.0619

0.7296

Minimum

4.3045

0.2501

0.2906

0.0515

0.7105

Maximum

5.2995

0.3259

0.3679

0.0822

0.7465

SD

0.2815

0.0188

0.0204

0.0081

0.0120

Regression formula 10

X1: Crown area

X2: Tree height

X3: Crown length ratio

Average

3.4295

0.2978

0.4024

0.0623

0.7301

Minimum

3.1015

0.2497

0.3434

0.0521

0.7111

Maximum

4.1671

0.3246

0.4502

0.0821

0.7469

SD

0.2973

0.0186

0.0271

0.0080

0.0120