Tree Allometrics

Betula platyphylla / Total biomass

White birch total (above + below ground) biomass from D only (MS-2) (sum of components, Table 5)

Total 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)

Total biomass = exp(-3.0968 + 2.3095 * ln(D)) + exp(-2.5622 + 2.515 * ln(D)) + exp(-5.1593 + 2.8615 * ln(D)) + exp(-5.5644 + 2.479 * ln(D))
D
Diameter at breast height (1.3 m), cm

White birch, MS-2: the paper defines this total as the sum of its component equations (Eq. 14 constraints), with coefficients of the component rows in Table 5; 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
4.05
Total biomass (kg)
1.91
Carbon (kg), ×0.47
6.99
CO₂e (kg), ×44/12
Fitted DBH range02004006008001,0001,2001,400510152025303540DBH (cm)Total biomass (kg)Total 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 = 44.054.05Computed from the printed form
computed from the published form (coefficients as printed)
D = 1039.839.8Computed from the printed form
computed from the published form (coefficients as printed)
D = 18174174Computed from the printed form
computed from the published form (coefficients as printed)

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