Skip to main content

Table 3 Parameter estimates for the basic h–d models selected

From: Can random components explain differences in the height–diameter relationship in mixed uneven-aged stands?

Model

Species

Parameter estimates

a 0

a 1

a 2

σ w0

σ w1

σ v0

σ v1

σ v2

σ2

Eq. 9

all

0.9761

1.141

1.746

0.01090

0.07487

0.1206

0.06554

0.7793

5.678

(0.0481)

(0.072)

(0.108)

(0.00476)

(0.02759)

(0.0220)

(0.00913)

(0.1530)

(0.054)

Eq. 11

1

0.2766

1.127

3.585

–

–

0

0.05110

0

5.308

(0.1229)

(0.071)

(0.601)

(0.01723)

(0.379)

2

1.239

1.415

1*

–

–

0.02074

0.03518

0

4.499

(0.041)

(0.038)

 

(0.01038)

(0.00977)

(0.214)

3

0.9975

1.353

1.803

–

–

0.05405

0.07497

0.2359

4.968

(0.0851)

(0.058)

(0.239)

(0.02029)

(0.01867)

(0.1205)

(0.149)

4

0.8965

1.292

2.063

–

–

0.06456

0.03652

0.2031

5.451

(0.0529)

(0.030)

(0.151)

(0.01375)

(0.00696)

(0.0756)

(0.101)

5

0.4898

1.197

3.188

–

–

0.04335

0.0127

0

6.886

(0.2169)

(0.075)

(0.738)

(0.02495)

(0.0071)

(0.643)

6

1.561

1.492

0.8689

–

–

0

0

0.2100

5.967

(0.160)

(0.071)

(0.3436)

(0.0805)

(0.350)

7

0.6109

1.137

2.506

–

–

0

0.06288

0

4.461

(0.1635)

(0.109)

(0.620)

(0.02025)

(0.257)

8

1.023

1.316

1.515

–

–

0.05052

0.04562

0

4.451

(0.092)

(0.063)

(0.257)

(0.01421)

(0.01043)

(0.152)

9

0.8904

1.309

1.834

–

–

0

0.04526

0.2428

5.321

(0.1042)

(0.074)

(0.337)

(0.01234)

(0.0795)

(0.237)

10

1.302

0.9409

1.425

–

–

0

0.05652

0

6.213

(0.088)

(0.0338)

(0.202)

(0.00842)

(0.149)

11

0.8858

0.8360

2.423

–

–

0.1800

0.05362

0

4.909

(0.1446)

(0.0411)

(0.379)

(0.0497)

(0.01077)

(0.171)

12

0.8037

1.758

1.605

–

–

0

0.03758

0

9.421

(0.1044)

(0.091)

(0.259)

(0.02075)

(0.803)

13

1.038

1.213

1*

–

–

0

0.2039

0

8.258

(0.050)

(0.141)

(0.0946)

(0.664)

14

1.401

0.8523

1*

–

–

0

0.03514

0

3.494

(0.068)

(0.0359)

(0.00696)

(0.164)

15

1.290

0.9448

1*

–

–

0

0.06470

0

3.060

(0.075)

(0.0596)

(0.01895)

(0.213)

16

1.505

0.6993

1*

–

–

0

0.01394

0

3.260

(0.086)

(0.0284)

(0.00336)

(0.161)

  1. σ wi , variance of the species-specifics random effects; σ vi , variance of the plot-specifics random effects; σ2, error variance of the model; the rest of variables as previously defined. All parameters were significant at p < 0.05 except those marked with an asterisk; standard error in brackets
  2. *p < 0.05: These parameters were not significant at this level and were fixed at 1 in the final model fitting. This produces slightly different models for each species; a value of 0 for the variance of a random effect indicates that this variance was not significant. A hyphen indicates that this parameter was not part of the model
Back to article page

Annals of Forest Science

ISSN: 1297-966X