Equations / Aboveground biomass
Scots pine total above-ground biomass, Model 1a (Eq. 9)
© Douglas Goldman · CC BY-SA · iNaturalistAs printed (Eq. 9, p. 631)
In this library's units, ready to compute (kg)
Aboveground biomass = exp(-3.198 + 9.547 * (2 + 1.25*D)/((2 + 1.25*D) + 12) + 3.241 * H/(H + 20) + (0.009 + 0.010)/2)D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Total above-ground biomass of the stem wood, bark, living and dead branches and needles. dS = 2 + 1.25d is a transformation of dbh (cm), not a stump diameter. The variance correction (var(uk)+var(eki))/2 = 0.0095 is added to the intercept as the paper prescribes, in both published and canonical forms. Sample trees spanned d 1.5–35.8 cm and h 2.0–28.6 m (Table 3, all 908 trees); the total equation used a subset of 285 trees, so no fit range is stated. Mineral-soil stands, Finland.
doi:10.14214/sf.184 · Open access · copy we read
Total Eq. 9 N = 285 b0 –3.198 b1 9.547 b2 3.241 var(uk) 0.009 var(eki) 0.010
dSki = 2 + 1.25 dki
a variance correction term, (σu² + σe²)/2 … should be added to the intercept
- Trees measured
- 285
- Correction factor
- 1.00955 (applied)
- Method
- Multivariate linear mixed model on ln(biomass) with stand random effects (fitted jointly with component equations); fixed part shown, with variance correction (var(u)+var(e))/2 added to the intercept
- Where
- Finland, mineral-soil stands (mostly southern and central Finland)
- Last checked
- 2026-11-01
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
On every build, the library's form and the paper's own form (in its units) must both give these values within 1%.
| Inputs | Expected | We get | From |
|---|---|---|---|
| D = 20, H = 18 | 142 | 142 | Computed from the printed form computed from the published form (with variance correction) at d = 20 cm, h = 18 m |
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