Tree Allometrics

Pinus tecunumanii / Branch biomass

Branch biomass, Pinus tecunumanii shade trees, power-law DBH+H

Branch biomassPinus tecunumanii · PinaceaePeruagroforestryRead from the original paper
Photo of Pinus tecunumanii
© Neptalí Ramírez Marcial · CC BY · iNaturalist
Equation

As printed (Table 1 (form) and Table 6 (parameters))

B = a·DBH^b·H^c; a, b, c = 0.01042973, 2.43366, 0.3763336

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

Branch biomass = 0.01042973 * D^2.43366 * H^0.3763336
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Parameters read from the HTML table page of Table 6 (component models, DBH+H power-law), which prints a, b and c in separate columns; Table 6 RMSE 36.1 kg, pseudo-R2 0.85 for the branch model. Fitted by NLS directly on biomass, so no back-transform correction. B is dry biomass (kg). The paper reports pseudo-R2 and RMSE per model; not copied as r2. Models valid only within the calibration ranges.

Source
A total of 22 shade trees were sampled, with diameters at breast height (DBH) ranging from 9.9 to 43.8 cm and total heights (H) from 6.3 to 38 m.
Trees measured · Abstract
Trees measured
22
DBH range
9.9–43.8 cm
Height range
6.3–38 m
Method
non-linear least squares
Where
San Alberto coffee plantation, Oxapampa, Pasco (1,900 m a.s.l.)
Last checked
2026-11-02
Calculate
Height from
19.3
Branch biomass (kg)
9.09
Carbon (kg), ×0.47
33.3
CO₂e (kg), ×44/12
Fitted DBH range050100150200250510152025303540DBH (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 = 15, H = 1219.319.3Computed from the printed form
hand-computed from the published form
D = 30, H = 20127127Computed from the printed form
hand-computed from the published form

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