Tree Allometrics

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Mongolian pine (Pinus sylvestris var. mongolica) total (above + below ground) biomass from D and H (sum of components, System 2)

Total biomassPinus sylvestris var. mongolica · PinaceaeChinaplantationRead from the original paper
Photo of Pinus sylvestris var. mongolica
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Eq. (2), additivity constraints)

lnWa = ln(Ws + Wb + Wf) + εa; lnWt = ln(Wr + Ws + Wb + Wf) + εt

In this library's units, ready to compute (kg)

Total biomass = exp(-2.5406 + 1.9752 * ln(D) - 0.0606 * ln(H)) + exp(-3.7044 + 1.9074 * ln(D) + 0.9412 * ln(H)) + exp(-4.9247 + 2.8783 * ln(D) - 0.3612 * ln(H)) + exp(-3.9908 + 2.5358 * ln(D) - 0.5262 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Mongolian pine (Pinus sylvestris var. mongolica) plantations, System 2 (D and H) of Table 4: ln W = a* + b* ln D + c* ln H, natural logarithm, coefficients as printed (a*, b*, c*). No correction factor is stated in the paper, none applied. n and D/H ranges from Table 2 (sample statistics of the fitted trees). Stem includes bark; roots exclude fine roots <5 mm. No R2 recorded (adjusted R2 only). The paper defines this total as the exact sum of its component equations (additivity constraint); the expression is that sum with the Table 4 component coefficients, not a separately printed coefficient set.

Source
a total of 114 Korean pine trees, 90 larch trees, and 85 Mongolian pine trees were destructively sampled
Trees measured · Section 2.2
Trees measured
85
DBH range
6–38.7 cm
Height range
3.5–22.3 m
Method
seemingly unrelated regression (SUR) on log-transformed additive system, ln W = a + b ln D + c ln H
Where
Pure plantations, northeast China
Last checked
2026-11-02
Calculate
Height from
20.99
Total biomass (kg)
9.867
Carbon (kg), ×0.47
36.18
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (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 = 9.3, H = 7.32121Computed from the printed form
computed from the published form (coefficients as printed)
D = 19.1, H = 12.9121.3121.3Computed from the printed form
computed from the published form (coefficients as printed)
D = 32.2, H = 18.5433.1433.1Computed from the printed form
computed from the published form (coefficients as printed)

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