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Table 4 AGB allometric model forms by species

From: Mapping aboveground biomass and its prediction uncertainty using LiDAR and field data, accounting for tree-level allometric and LiDAR model errors

Species

Model type

Model form

Reference

Birch

I

\(y_{k} = \exp {\big (\beta _{0} + \beta _{1}\frac {d_{tr_{k}}}{(d_{tr_{k}} +12)} + \beta _{2}\frac {h_{k}}{(h_{k} + 22)}\big)} + \epsilon _{k}\)

(cf. Repola 2008, Eq. 11 p. 612)

 

II

\(y_{k} = \exp {\big (\beta _{0} + \beta _{1}\frac {d_{tr_{k}}}{(d_{tr_{k}} +12)}\big)} + \epsilon _{k}\)

 

Norway

I

\(y_{k} = \exp {\big (\beta _{0} + \beta _{1}\frac {d_{tr_{k}}}{(d_{tr_{k}} +20)} + \beta _{2}\ln {h_{k}}\big)} + \epsilon _{k}\)

(cf. Repola 2009, Eq. 17 p. 633)

Spruce

II

\(y_{k} = \exp {\big (\beta _{0} + \beta _{1}\frac {d_{tr_{k}}}{(d_{tr_{k}} +20)}\big)} + \epsilon _{k}\)

 

Scots

I

\(y_{k} = \exp {\big (\beta _{0} + \beta _{1}\frac {d_{tr_{k}}}{(d_{tr_{k}} +12)} + \beta _{2}\frac {h_{k}}{(h_{k} + 20)}\big)} + \epsilon _{k}\)

(cf. Repola 2009, Eq. 9 p. 631)

Pine

II

\(y_{k} = \exp {\big (\beta _{0} + \beta _{1}\frac {d_{tr_{k}}}{(d_{tr_{k}} +12)}\big)} + \epsilon _{k}\)