Table 2 Posterior probability distribution of the parameters in the whole-stand model. The posterior distribution is not analytical and it is characterized here by the mean values of the parameters, the standard deviation (SD), and the maximum a posteriori estimates (MAP). The prior was set as independent uniform distributions, of which the maxima and minima are listed

α₁

(− 100, 100)

4.1543

0.3513

4.2016

α₂

(− 100, 0)

− 6.1392

0.3391

− 5.8887

α₃

(− 100, 100)

− 0.3743

0.0659

− 0.3488

α₄

(0, 10)

1.5928

0.1221

1.6080

α₅

(0, 100)

21.1022

5.7949

21.5691

α₆

(− 10, 100)

0.2248

0.1236

0.2086

α₇

(0, 100)

6.9665

2.0722

6.6053

α₈

(0, 10)

2.0750

0.3157

2.0297

α₉

(0, 100)

30.3612

3.6852

32.0450

α₁₀

(− 10, 100)

0.0593

0.0518

0.0107

α₁₁

(0, 100)

20.0725

1.5733

20.1571

α₁₂

(0, 10)

0.0371

0.0602

0.0305

γ₁

(− 100, 100)

− 1.0195169

0.2944

− 1.2737

γ₂

(− 10, 10)

1.0307536

0.2443

0.9113

γ₃

(− 10, 10)

0.2815911

0.0796

0.3956

γ₄

(− 100, 100)

− 0.3399967

0.1129

− 0.3833

γ₅

(− 10, 10)

1.6498416

0.0356

1.6916

γ₆

(− 10, 10)

− 0.7033391

0.03290

− 0.7150