Tree Allometrics

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Larch (Larix gmelinii) total (above + below ground) biomass from D only (sum of components, System 1)

Total biomassLarix gmelinii · PinaceaeChinaplantationRead from the original paper
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Equation

As printed (Eq. (1), 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(-5.351 + 2.9914 * ln(D)) + exp(-3.7797 + 2.8778 * ln(D)) + exp(-3.7266 + 2.1147 * ln(D)) + exp(-2.3186 + 1.2549 * ln(D))
D
Diameter at breast height (1.3 m), cm

Larch (Larix gmelinii) plantations, System 1 (D only) of Table 4: ln W = a* + b* ln D, 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
90
DBH range
7.6–35.7 cm
Height range
8.3–27 m
Method
seemingly unrelated regression (SUR) on log-transformed additive system, ln W = a + b ln D
Where
Pure plantations, northeast China
Last checked
2026-11-02
Calculate
29.78
Total biomass (kg)
14
Carbon (kg), ×0.47
51.33
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 = 10.429.829.8Computed from the printed form
computed from the published form (coefficients as printed)
D = 18.8152.5152.5Computed from the printed form
computed from the published form (coefficients as printed)
D = 30.1575.6575.6Computed from the printed form
computed from the published form (coefficients as printed)

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