Tree Allometrics

Montanoa quadrangularis / Aboveground biomass

Montanoa quadrangularis AGB, DBH and height (13-year restoration plantation)

Aboveground biomassMontanoa quadrangularis · AsteraceaeColombiaplantationRead from the original paper
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Equation

As printed (Table 7, equation 18)

AGB = 0.005 × (D^2 × H)^1.137

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

Aboveground biomass = 1.037 * exp(-5.242 + 1.137*ln(D^2*H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Table 7 rounds the multiplier to 0.005 (the unrounded value of exp(-5.242)*1.037 is about 0.0055), so the form is written from the linear expression, not from the printed 0.005. 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(B) = −5.242 + 1.137 ln(D² × H)
Equation · Table 7, equation 18 (linear expression)
e^(RSE²/2) = 1.037
Correction factor · Table 7, equation 18
20
Trees measured · Table 7 / Table 2
Trees measured
20
DBH range
5.8–22.35 cm
Height range
6.65–17.24 m
R²
0.937
Residual SE
0.285
Correction factor
1.037 (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
Height from
6.6
Aboveground biomass (kg)
3.1
Carbon (kg), ×0.47
11.4
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300510152025303540DBH (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 = 8, H = 86.66.6Computed from the printed form
computed from the published form (linear expression with printed correction factor)
D = 15, H = 1243.743.7Computed from the printed form
computed from the published form (linear expression with printed correction factor)
D = 25, H = 16194194Computed from the printed form
computed from the published form (linear expression with printed correction factor)

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