Tree Allometrics

Equations / Foliage biomass

Natural larch leaf (foliage) biomass from dbh (Table 5, with CF)

Foliage biomassLarix gmelinii · PinaceaeChinanaturalRead from the original paper
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Equation

As printed (Table 5, Leaf row)

Leaf lnWlf = −3.080 + 1.833ln(dbh); CF 1.038

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

Foliage biomass = 1.038 * exp(-3.080 + 1.833 * ln(D))
D
Diameter at breast height (1.3 m), cm

Equations reported in Table 5 (best additive system, log scale: ln W = a + b ln x); correction factor CF from Table 5 applied multiplicatively to exp(ln W) (Section 2.6 describes a multiplicative correction factor; the printed Eq. 9 was not readable in the HTML copy, so the multiplicative use is the paper's own description). ln is the natural logarithm. n and ranges from Table 1 / Section 2.2. Wood and bark are separate component equations in the paper (not added individually); they are summed inside the aboveground equation. The Discussion and Conclusions note that the CFs are small (<1.06) and "can be ignored", and that applying a CF breaks the additivity of the component equations; the CF is applied here because the paper prints it per equation in Table 5 and describes it as a multiplicative correction (Section 2.6).

Source
A total of 58 trees were randomly selected
Trees measured · Section 2.2
Trees measured
58
DBH range
3.2–52 cm
Height range
4.91–27.72 m
Correction factor
1.038 (applied)
Method
seemingly unrelated regression (SUR) on log-transformed equations, additive system
Where
Western Daxing'anling Mountains, Inner Mongolia, China
Last checked
2026-11-02
Calculate
2.157
Foliage biomass (kg)
1.014
Carbon (kg), ×0.47
3.718
CO₂e (kg), ×44/12
Fitted DBH range01020304050510152025303540DBH (cm)Foliage biomass (kg)Foliage 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 = 8, H = 72.162.16Computed from the printed form
computed from the published form (coefficients as printed)
D = 22, H = 1713.813.8Computed from the printed form
computed from the published form (coefficients as printed)
D = 45, H = 2551.251.2Computed from the printed form
computed from the published form (coefficients as printed)

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