Tree Allometrics

Equations / Aboveground biomass

Retrophyllum rospigliosii AGB, DBH only (13-year restoration plantation)

Aboveground biomassRetrophyllum rospigliosii · PodocarpaceaeColombiaplantationRead from the original paper
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Equation

As printed (Table 7, equation 20)

AGB = 0.1475 × D^2.194

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

Aboveground biomass = 1.032 * exp(-1.945 + 2.194*ln(D))
D
Diameter at breast height (1.3 m), cm

Table 7 gives the final equation with the correction factor e^(RSE^2/2) folded into the coefficient a; here the published form is written from the linear expression in Table 7 with the printed correction factor applied, which agrees with the printed a. Dry mass in kg, D in cm, WD in g/cm3. Trees harvested 2022-2023 in 13-year-old plantations; AGB sums leaves, twigs, branches and trunk. Ranges are for the sampled trees (Table 2). RSE is as printed in Table 5/6.

Source
ln(AGB) = −1.945 + 2.194 ln(D)
Equation · Table 7, equation 20 (linear expression)
e^(RSE²/2) = 1.032
Correction factor · Table 7, equation 20
20
Trees measured · Table 7 / Table 2
Trees measured
20
DBH range
3.8–19 cm
Height range
3.98–11.3 m
R²
0.93
Residual SE
0.263
Correction factor
1.032 (applied)
Method
ln-ln linear regression (R 4.3.2), back-transformed with e^(RSE^2/2)
Where
Más Bosques para Medellín mixed restoration plantations, Aburrá valley, Medellín
Last checked
2026-11-02
Calculate
14.14
Aboveground biomass (kg)
6.644
Carbon (kg), ×0.47
24.36
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500510152025303540DBH (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 = 814.114.1Computed from the printed form
computed from the published form (linear expression with printed correction factor)
D = 1556.156.1Computed from the printed form
computed from the published form (linear expression with printed correction factor)
D = 25172.2172.2Computed from the printed form
computed from the published form (linear expression with printed correction factor)

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