Tree Allometrics

Equations / Root biomass

BGB Model 6 (DBH and [ln(DBH)]²), peat swamp forest Sarawak

Root biomassMixed tree species, tropical peat swamp forestMalaysianaturalRead from the original paper
Many species, no single photo
Equation

As printed (Models section, p. 15)

Model 6: ln(DW)=a+b ln(DBH)−e [ln(DBH)]2

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

Root biomass = 1.1267 * exp(-6.1049 + 3.9957 * ln(D) - 0.2322 * ln(D)^2)
D
Diameter at breast height (1.3 m), cm

Coefficients a-e as printed in Table 5; the e term enters with a minus sign per the model definitions. WD is wood density in Mg m-3, numerically equal to g/cm3. Back-transformed result multiplied by the printed CF. Adjusted R2 0.9544 is not entered as r2. DW is dry mass (kg) of the whole above- or belowground part; hollow cavity volume was measured separately and the models are fitted to the measured biomass of hollow trees.

Source
Model 6 −6.1049 3.9957 *** 0.2322 ns 0.9544 1.1267 49.81 0.02378
Equation · Table 5, Belowground biomass, p. 19 (columns a, b, c, d, e, adjusted R2, CF, AIC, FI)
Belowground biomass (n=32)
Trees measured · Table 5
BGB data for trees ranging in DBH from 5.2 to 110.8 cm
Largest DBH · Discussion, p. 20
Trees measured
32
DBH range
5.2–110.8 cm
Correction factor
1.1267 (applied)
Method
log-log regression of dry weight on ln-transformed predictors, back-transformed and multiplied by the correction factor CF = exp(RSE²/2)
Where
Logged-over peat swamp forest, Sarawak (Alan Batu and other sites, PC1-PC3)
Last checked
2026-11-02
Calculate
7.27
Root biomass (kg)
3.417
Carbon (kg), ×0.47
12.53
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300510152025303540DBH (cm)Root biomass (kg)Root 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 = 107.277.27Computed from the printed form
computed from the published form (coefficients and CF as printed)
D = 30136.8136.8Computed from the printed form
computed from the published form (coefficients and CF as printed)
D = 60653653Computed from the printed form
computed from the published form (coefficients and CF as printed)

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