Tree Allometrics

Equations / Aboveground biomass

Alnus acuminata AGB, DBH only (13-year restoration plantation)

Aboveground biomassAlnus acuminata · BetulaceaeColombiaplantationRead from the original paper
Photo of Alnus acuminata
© Frank R 1981 · CC BY-SA · iNaturalist
Equation

As printed (Table 7, equation 15)

AGB = 0.097 × D^2.371

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

Aboveground biomass = 1.029 * exp(-2.361 + 2.371*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) = −2.361 + 2.371 ln(D)
Equation · Table 7, equation 15 (linear expression)
e^(RSE²/2) = 1.029
Correction factor · Table 7, equation 15
23
Trees measured · Table 7 / Table 2
Trees measured
23
DBH range
6.4–29.6 cm
Height range
7.3–19.85 m
R²
0.939
Residual SE
0.25
Correction factor
1.029 (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
13.44
Aboveground biomass (kg)
6.315
Carbon (kg), ×0.47
23.15
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600700510152025303540DBH (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 = 813.413.4Computed from the printed form
computed from the published form (linear expression with printed correction factor)
D = 1559.659.6Computed from the printed form
computed from the published form (linear expression with printed correction factor)
D = 25200.3200.2Computed from the printed form
computed from the published form (linear expression with printed correction factor)

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