Equations / Total biomass
White birch total (above + below ground) biomass from D and H (MS-3) (sum of components, Table 6)
Total biomassBetula platyphylla · BetulaceaeChinanaturalRead from the original paper
© harum.koh · CC BY-SA · iNaturalistEquation
As printed (Eq. (14), additive constraints)
Wa = Ws + Wb + Wf + εa; Wt = Wr + Ws + Wb + Wf + εt
In this library's units, ready to compute (kg)
Total biomass = exp(-3.2954 + 1.9718 * ln(D) + 0.3931 * ln(H)) + exp(-3.4046 + 2.0371 * ln(D) + 0.7708 * ln(H)) + exp(-5.5895 + 3.1021 * ln(D) - 0.0867 * ln(H)) + exp(-3.9626 + 3.097 * ln(D) - 1.2009 * ln(H))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
White birch, MS-3: the paper defines this total as the sum of its component equations (Eq. 14 constraints), with coefficients of the component rows in Table 6; the expression is that sum, not a separately printed formula. Stem includes bark; roots exclude fine roots <5 mm.
Source
doi:10.3390/f9050261 · Open access · copy we read
138 Dahurian larch trees and 108 white birch trees were destructively sampled
- Trees measured
- 108
- DBH range
- 1.4–20.5 cm
- Height range
- 3.1–21 m
- Method
- seemingly unrelated regression (SUR), additive system, W = exp(b0) D^b1 H^b2
- Where
- Eastern Daxing'an Mountains, Heilongjiang, northeast China
- Last checked
- 2026-11-02
Calculate
Height from
3.449
Total biomass (kg)
1.621
Carbon (kg), ×0.47
5.944
CO₂e (kg), ×44/12
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
Checks this equation passes
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 = 4, H = 5 | 3.45 | 3.45 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 10, H = 11 | 37.1 | 37.1 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 18, H = 17 | 167.9 | 167.9 | Computed from the printed form computed from the published form (coefficients as printed) |
Related
- White birch total (above + below ground) biomass from D only (MS-2) (sum of components, Table 5) · Dong et al. 2018 · DBH
- White birch aboveground biomass from D only (MS-2) (sum of components, Table 5) · same paper · Aboveground biomass
- White birch branch biomass from D only (MS-2) (Table 5) · same paper · Branch biomass
- White birch foliage biomass from D only (MS-2) (Table 5) · same paper · Foliage biomass
- White birch root biomass from D only (MS-2) (Table 5) · same paper · Root biomass
- White birch stem biomass from D only (MS-2) (Table 5) · same paper · Stem biomass
- White birch total (above + below ground) biomass from D only (MS-2) (sum of components, Table 5) · same paper · Total biomass
- White birch aboveground biomass from D and H (MS-3) (sum of components, Table 6) · same paper · Aboveground biomass
- White birch branch biomass from D and H (MS-3) (Table 6) · same paper · Branch biomass