Equations / Aboveground biomass
Birch aboveground biomass, young dense stands, N Sweden (Table 5)
As printed (Table 5, p. 12)
In this library's units, ready to compute (kg)
Aboveground biomass = exp(-4.074 + (0.002 + 0.018) / 2 + 7.970 * D / (D + 3) + (16.922) * H / (H + 10) + (-3.210) * ln(H))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Fitted on pine-dominated mixed stands; fit n, DBH and height ranges are the species sample ranges. Expression applies the paper's stated additive correction (var(uk) + var(eki))/2 to the intercept. Variance values are as printed in Table 5; no other correction factor is stated. The paper models the total independently of the components, so it need not equal their sum. Birch coefficients are for Betula pendula and B. pubescens pooled.
doi:10.14214/sf.1190 · Open access · copy we read
a variance correction term, ((var(uk) + var(eki))/2) should be added to the intercept to correct for bias due to the logarithmic transformation
In total, 280 trees were included in this destructive aboveground biomass study, of which 126 were pine, 68 spruce and 86 birch.
The range of dbh was 1–22 cm, 1–21 cm and 1–11 cm for pine, spruce and birch, respectively
The range of heights was 1.7–11.7 m, 1.6–13.3 m and 1.8–8.6 m for pine, spruce and birch, respectively
- Trees measured
- 86
- DBH range
- 1–11 cm
- Height range
- 1.8–8.6 m
- Method
- linear mixed model of ln(biomass) with random stand effect; ln(y) = Intercept + b1 dbh/(dbh + n) + b2 h/(h + m) + b3 ln(h)
- Where
- Six young, dense, naturally regenerated stands in northern Sweden (63.26-65.69 N)
- Last checked
- 2026-11-02
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 = 5, H = 5 | 4.02 | 4.02 | Computed from the printed form hand-computed from the Table 5 coefficients with the (var(u) + var(e))/2 intercept correction |
| D = 10, H = 8 | 18.4 | 18.4 | Computed from the printed form hand-computed from the Table 5 coefficients with the (var(u) + var(e))/2 intercept correction |
Related
- White birch aboveground biomass from D only (MS-2) (sum of components, Table 5) · Dong et al. 2018 · DBH
- White birch aboveground biomass from D and H (MS-3) (sum of components, Table 6) · Dong et al. 2018 · DBH + Height
- Betula pendula total aboveground biomass vs DBH (Eq. 4), forest-swamp, Middle Urals · Petrova et al. 2026 · DBH
- Paper birch total aboveground biomass from DBH (Table 4) · Poudel et al. 2019 · DBH
- Birch total above-ground biomass excluding foliage, Model 1a (Eq. 11) · Repola 2008 · DBH + Height
- Scots pine aboveground biomass, young dense stands, N Sweden (Table 5) · same paper · Aboveground biomass
- Norway spruce aboveground biomass, young dense stands, N Sweden (Table 5) · same paper · Aboveground biomass
- Birch living branch biomass, young dense stands, N Sweden (Table 5) · same paper · Branch biomass
- Scots pine living branch biomass, young dense stands, N Sweden (Table 5) · same paper · Branch biomass
- Norway spruce living branch biomass, young dense stands, N Sweden (Table 5) · same paper · Branch biomass
- Birch foliage biomass, young dense stands, N Sweden (Table 5) · same paper · Foliage biomass
- Scots pine foliage biomass, young dense stands, N Sweden (Table 5) · same paper · Foliage biomass
- Norway spruce foliage biomass, young dense stands, N Sweden (Table 5) · same paper · Foliage biomass