Table 12 List of 16 simple models tested. Models were classified into 2-parameter and 3-parameter functions, following Mehtätalo et al. (2015), which provides a full list of references for the model origins
Model | Name | Formulae |
|---|---|---|
2-parameter functions | ||
SM1 | Näslund | \(H=1.3+\frac{{DBH}^{2}}{{\left(aDBH+b\right)}^{2}}\) |
SM2 | Curtis | \(H=1.3+\frac{aDBH}{{\left(1+DBH\right)}^{b}}\) |
SM3 | Schumacher | \(H=1.3+aexp\left(-b{DBH}^{-1}\right)\) |
SM4 | Meyer | \(H=1.3+a\left(1-exp\left(-bDBH\right)\right)\) |
SM5 | Power | \(H=1.3+a{DBH}^{b}\) |
SM6 | Michaelis–Menten | \(H=1.3+\frac{aDBH}{b+DBH}\) |
SM7 | Wykoff | \(H=1.3+exp\left(a-b{\left(DBH+1\right)}^{-1}\right)\) |
3-parameter functions | ||
SM8 | Prodan | \(H=1.3+\frac{{DBH}^{2}}{{aDBH}^{2}+bDBH+c}\) |
SM9 | Logistic | \(H=1.3+\frac{a}{1+bexp\left(-cDBH\right)}\) |
SM10 | Chapman-Richards | \(H=1.3+a{\left(1-exp\left(-bDBH\right)\right)}^{c}\) |
SM11 | Weibull | \(H=1.3+a\left(1-exp\left(-b{DBH}^{c}\right)\right)\) |
SM12 | Gompertz | \(H=1.3+aexp\left(-bexp\left(-cDBH\right)\right)\) |
SM13 | Sibbesen | \(H=1.3+a{DBH}^{{bDBH}^{-c}}\) |
SM14 | Korf | \(H=1.3+aexp\left(-b{DBH}^{-c}\right)\) |
SM15 | Ratkowsky | \(H=1.3+aexp\left(\frac{-b}{DBH+c}\right)\) |
SM16 | Hossfeld IV | \(H=1.3+\frac{a}{1+\frac{1}{b{DBH}^{c}}}\) |