Tree Allometrics

Equations / Aboveground biomass

Alnus acuminata (aliso) AGB, sum of SUR component models (DBH, height)

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

As printed (Tabla 4, Aliso, Fuste)

W f = 0,1483*DBH2+0,003688*DBH2*Ht

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

Aboveground biomass = 0.347148 * D^2 + 0.003688 * D^2 * H - 1.267285 * H
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Total aboveground dry biomass (kg) is the sum of the four additive SUR component equations in Tabla 4 (stem with bark, coarse branches 2–7 cm, thin branches <2 cm, leaves); the paper prints no single total equation. r2 is the adjusted R² of total biomass. Linear models, no log correction. The negative height terms make predictions unreliable for short, thick trees outside the fitted range. A journal version is Riofrío et al. (2015) Biomass and Bioenergy 80:252-259 (not read).

Source
W rg = 0,080183*DBH2 - 0,569041*Ht
Equation · Tabla 4, Aliso, Ramas gruesas
W rd = 0,085229DBH2 - 0,483528*Ht
Equation · Tabla 4, Aliso, Ramillas delgadas
W h = 0,033436*DBH2 - 0,214716*Ht
Equation · Tabla 4, Aliso, Hojas
Biomasa total 9,72 0,938
R² · Tabla 4, Aliso (RMSE kg, R2 ajustado)
Aliso 30 14,5 3,2 9,3 20,3 10,7 1,4 6,8 12,8
Smallest DBH · Tabla 1 (n, DBH mean SD min max, Ht mean SD min max)
Trees measured
30
DBH range
9.3–20.3 cm
Height range
6.8–12.8 m
R²
0.938
Method
Component models (stem, coarse branches, thin branches, leaves) fitted simultaneously by seemingly unrelated regression (SUR); total = sum of components
Where
Two INIAP agroforestry systems, inter-Andean western cordillera of northern/central Ecuador, above 3000 m (Bosque Siempreverde Montano Alto)
Last checked
2026-11-01
Calculate
Height from
67.72
Aboveground biomass (kg)
31.83
Carbon (kg), ×0.47
116.7
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 = 14.5, H = 10.767.767.7Computed from the printed form
computed from the sum of published components at the sample means (observed mean Wt 71,1 kg, Tabla 1)
D = 20, H = 12141.4141.4Computed from the printed form
computed from the sum of published components

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