Tree Allometrics

Betula platyphylla / Aboveground biomass

White birch aboveground biomass from D and H (MS-3) (sum of components, Table 6)

Aboveground biomassBetula platyphylla · BetulaceaeChinanaturalRead from the original paper
Photo of Betula platyphylla
© harum.koh · CC BY-SA · iNaturalist
Equation

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)

Aboveground biomass = 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
138 Dahurian larch trees and 108 white birch trees were destructively sampled
Trees measured · Section 2.2
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
2.38
Aboveground biomass (kg)
1.12
Carbon (kg), ×0.47
4.09
CO₂e (kg), ×44/12
Fitted DBH range0200400600800510152025303540DBH (cm)Aboveground biomass (kg)Aboveground biomass

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%.

InputsExpectedWe getFrom
D = 4, H = 52.382.38Computed from the printed form
computed from the published form (coefficients as printed)
D = 10, H = 1128.128.1Computed from the printed form
computed from the published form (coefficients as printed)
D = 18, H = 17134134Computed from the printed form
computed from the published form (coefficients as printed)

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