Form

Models

Mathematical forms

References

Volume models

Linear

models

M1

$\ln \left(v\right)=\ln \left({\beta }_0\right)+{\beta }_1\ln \left(d\right)+\epsilon$

Husch (1963)

M2

$\ln \left(v\right)=\ln \left({\beta }_0\right)+{\beta }_1\ln \left(d^{2}h\right)+\epsilon$

Spurr (1952)

M3

$\ln \left(v\right)=\ln \left({\beta }_0\right)+{\beta }_1\ln \left(d^2\right)+{\beta }_2\ln \left(h\right)+\epsilon$

Schumacher (1933)

Nonlinear

models

M4

$v={\beta }_0\ast {\left(d\right)}^{{\beta }_1}\ast \epsilon$

Husch (1963)

M5

$v={\beta }_0\ast {\left(d^{2}h\right)}^{{\beta }_1}\ast \epsilon$

Spurr (1952)

M6

$v={\beta }_0\ast {\left(d^2\right)}^{{\beta }_1}{\left(h\right)}^{{\beta }_2}\ast \epsilon$

Schumacher (1933)

Biomass models

Linear

models

M7

$\ln \left(b\right)=\ln \left({\beta }_0\right)+{\beta }_1\ln \left(d\right)+\text{ε}$

Husch (1963)

M8

$\ln \left(b\right)=\ln \left({\beta }_0\right)+{\beta }_1\ln \left(d^{2}h\right)+{\beta }_2\ln \left(\rho \right)+\text{ε}$

Spurr (1952)

M9

$\ln \left(b\right)=\ln \left({\beta }_0\right)+{\beta }_1\ln \left(d\right)+{\beta }_2\ln \left(h\right)+{\beta }_3\ln \left(\rho \right)+\text{ε}$

Schumacher (1933)

M10

$\ln \left(b\right)=\ln \left({\beta }_0\right)+{\beta }_1\ln \left(\rho d^{2}h\right)+\text{ε}$

Chave et al. (2014)

Nonlinear

models

M11

$b={\beta }_0\ast {\left(d\right)}^{{\beta }_1}\ast \epsilon$

Husch (1963)

M12

$b={\beta }_0\ast {\left(d^{2}h\right)}^{{\beta }_1}{\left(\rho \right)}^{{\beta }_2}\ast \epsilon$

Spurr (1952)

M13

$b={\beta }_0\ast {\left(\rho d^{2}h\right)}^{{\beta }_1}\ast \epsilon$

Chave et al. (2014)

M14

$b={\beta }_0\ast {\left(d\right)}^{{\beta }_1}{\left(h\right)}^{{\beta }_2}{\left(\rho \right)}^{{\beta }_3}\ast \epsilon$

Schumacher (1933)