Tree Allometrics

Pinus sylvestris / Branch biomass

Scots pine branch biomass, ln-ln OLS (D and H)

Branch biomassPinus sylvestris · PinaceaeMongolianaturalRead from the original paper
Photo of Pinus sylvestris
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Table 4, branch section, Eq. 6, type N, p. 17)

lnŶ=lna+b x lnD+c x lnH; N: lna = -4.278, b = 3.945, c = -1.806, CF = 1.139

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

Branch biomass = 1.139 * exp(-4.278 + 3.945 * ln(D) - 1.806 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Ordinary least squares (type N) rows of Table 4 with the printed CF applied; the weighted (type W) rows are not included because their printed RMSE/CF are on a weighted scale. The paper does not say whether the printed lna values for type N are rounded further. Table 4 decimal commas read as decimal points. The abstract names the D and H form (Eq. 6) as the best-fitting; the D-only form is also given. Total AGB = stem + branches + needles; the paper also describes a one-step proportional weighting for additivity, not applied here. Biomass in kg (Eq. 1 text).

Source
A total of 35 sample trees were destructively sampled
Trees measured · Materials and Methods, Data collection, p. 14
Trees measured
35
DBH range
4.7–55 cm
Height range
4.6–23 m
Correction factor
1.139 (applied)
Method
ordinary least squares on ln-transformed data (type N), with correction factor CF = exp(RMSE²/2)
Where
Northeastern Khangai and western Khentii forest regions, northern Mongolia
Last checked
2026-11-02
Calculate
Height from
3.26
Branch biomass (kg)
1.53
Carbon (kg), ×0.47
5.61
CO₂e (kg), ×44/12
Fitted DBH range0200400600800510152025303540DBH (cm)Branch biomass (kg)Branch 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, H = 83.263.26Computed from the printed form
computed from the published form (coefficients as printed)
D = 25, H = 1634.634.6Computed from the printed form
computed from the published form (coefficients as printed)
D = 45, H = 21215215Computed from the printed form
computed from the published form (coefficients as printed)

Report a problem with this equation · JSON

Related

Compare these curves