Tree Allometrics

Equations / Aboveground biomass

Understorey AGB from D30 and height

Aboveground biomassUnderstorey trees and saplings, 184 species (stems 1–10 cm diameter)CameroonnaturalRead from the original paper
Many species, no single photo
Equation

As printed (Data analysis, p. 3)

The correction factor (CF) calculated by the formula CF= RSE²/2 (5); was used to correct the systematic bias due to the log transformation applied to the models

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

Aboveground biomass = exp(-3.215 + 0.09 + 1.665 * ln(D30) + 0.958 * ln(H))
D30
Stem diameter at 30 cm, cm
H
Total tree height, m

Selected from Table 2/3 "All" (1 ≤ diameter < 10 cm, n = 1023) block; the paper also gives separate seedling (1-5 cm) and sapling (5-10 cm) fits and crown-diameter models (not included: crown diameter unit is ambiguous, Table 1 header says cm but values are 0.19-7.55). D is the stem diameter at 30 cm above ground (D30), not DBH, so no DBH range is stored; Table 1 gives D 1.00-9.99 cm and H 0.86-15.55 m for the whole data set. Wood density is the mean of base, trunk and branch samples (dry weight / fresh volume). The back-transform adds the paper’s CF column (0.09, = RSE²/2, an additive term on the log scale) to the intercept, as its Data analysis says the CF was used to correct the log-transformation bias. Total AGB = trunk + branches + leaves (dry mass, oven-dried at 105/70 °C). Recommended by the authors: the models with more predictors fit better (Adj.R² up to 0.956 with four predictors); the D-only model is the simplest.

Source
lnM= a + b × ln(D) + c × ln(H) 1023 -3.215*** 1.665*** 0.958*** 0.192 0.423 0.935 1149 0.09 2.45
Equation · Table 2, block "All (1≤ diameter <10 cm)", p. 5
H: tree height; ρ: wood density; C: crown diameter; N: sample size; a, b, c and d are the model’s fitted parameters
Units · Table 3 note, p. 6
AGB and several measurement variables (diameter, height, crown diameter, and wood density) were measured on 1023 understorey stems belonging to 184 species
Trees measured · Data collection, p. 3
The diameter was measured at 30 cm aboveground level
Note · Data collection, p. 3
The correction factor (CF) calculated by the formula CF= RSE²/2 (5)
Note · Data analysis, p. 4
Trees measured
1,023
Height range
0.86–15.55 m
Residual SE
0.423
Method
log-log regression, lnM = a + b ln(X1) + ...
Where
Semi-deciduous rainforest, East region, Cameroon
Last checked
2026-11-03
Calculate
Height from
1.03
Aboveground biomass (kg)
0.485
Carbon (kg), ×0.47
1.78
CO₂e (kg), ×44/12
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
D30 = 3, H = 41.031.03Computed from the printed form
computed with python3 from the published form (CF added to the intercept)
D30 = 8, H = 911.511.5Computed from the printed form
computed with python3 from the published form (CF added to the intercept)

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