Tree Allometrics

Equations / Aboveground biomass

Total aboveground biomass, Pinus tecunumanii shade trees, exponential DBH+H

Aboveground 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 4 (parameters))

B = a·exp(b·DBH + c·H); a, b, c = 41.459422, 0.059304, 0.024294

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

Aboveground biomass = 41.459422 * exp(0.059304 * D + 0.024294 * H)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Parameters read from the HTML table pages (Table 4 gives the three parameters of each total model run together in one cell; split at six decimals, which reproduces a sensible biomass). 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. Table 4 pseudo-R2 0.76, RMSE 135.1 kg for the power-law; 0.75 and 137.2 kg for the exponential.

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
135.1
Aboveground biomass (kg)
63.48
Carbon (kg), ×0.47
232.8
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (cm)Aboveground biomass (kg)Aboveground 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 = 12135.1135.1Computed from the printed form
hand-computed from the published form
D = 30, H = 20399.3399.3Computed from the printed form
hand-computed from the published form

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