Table 1 Candidate basic models analyzed for the CR of larch, birch, and poplar

1

CR = β₁ + β₂DBH + β₃DBH²

Quadratic

Gill et al. (2000); Sánchez-González et al. (2007); Sönmez (2009)

2

\(\textrm{CR}={\beta}_1{\textrm{DBH}}^{\beta_2}\)

Power

Sánchez-González et al. (2007); Sönmez (2009); Sharma et al. (2016); Sharma et al. (2017); Yang and Huang (2017); Raptis et al. (2018)

3

CR = β₁(1 − exp(−β₂DBH))

Monomolecular

Sánchez-González et al. (2007); Raptis et al. (2018)

4

\(\textrm{CR}={\left(\frac{\textrm{DBH}}{\beta_1+{\beta}_2\textrm{DBH}}\right)}^2\)

Hossfeld 1

Sánchez-González et al. (2007)

5

CR = β₁β₂^DBH

Compund

Sönmez (2009)

6

CR = exp(β₁ + β₂DBH)

Growth

Sönmez (2009)

7

CR = β₁ exp(β₂DBH)

Exponential

Sönmez (2009); Yang and Huang (2017)

8

\(\textrm{CR}=\frac{\beta_1}{1+{\beta}_2\exp \left(-{\beta}_3\textrm{DBH}\right)}\)

Logistic

Fu et al. (2013); Fu et al. (2017a) Fu et al. (2017b); Fu et al. (2017c); Lei et al. (2018); Chen et al. (2021)