Tree Allometrics

Dalbergia arbutifolia / Aboveground biomass

Dry miombo, total AGB, Dalbergia arbutifolia, D and H

Aboveground biomassDalbergia arbutifoliaTanzanianaturalRead from the original paper
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Equation

As printed (Table 1, total biomass, model 3)

Dalbergia arbutifolia (N = 37) ... Total biomass (df = 34) 3 −2.7097 (0.199) 1.9900 (0.062) 0.9035 (0.159) 1.8–21.5 0.990 0.150 1.22

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

Aboveground biomass = 1.0113 * exp(-2.7097 + 1.99 * ln(D) + 0.9035 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

ln-ln OLS (species models) or linear mixed model with species random effect (group models); total aboveground biomass is stump + stem and branches + twigs and leaves, so foliage is included. The paper states CF = exp(RMSE²/2) and that it was applied to predictions; the CF value (1.0113) is not printed and is computed here from the printed RMSE (0.15) by that stated formula, and applied in both forms. The R² shown for group models is the likelihood-ratio R² named in the Table 2 note; for species models it is adjusted R².

Source
CF = exp⁡(RMSE2/2), which was applied to the predicted values of volume and biomass
Correction factor · Section 2.5 (Sprugel correction)
Y is volume (m3) or biomass (kg); Dbh is diameter at breast height (cm); ht is total height (m); and wd is wood density (kg m−3).
Units · Table 1 note
The minimum and maximum sizes of sample trees/shrubs were 1.4 cm and 62.0 cm in diameter at breast height
Largest DBH · Section 2.2 (study-wide)
Trees measured
37
DBH range
1.8–21.5 cm
Height range
2.6–8.8 m
R²
0.99
Correction factor
1.0113 (applied)
Method
OLS on ln-transformed data
Where
Gangalamtumba Village Land Forest Reserve, Iringa, Tanzania (dry miombo woodland)
Last checked
2026-11-02
Calculate
Height from
209
Aboveground biomass (kg)
98.3
Carbon (kg), ×0.47
361
CO₂e (kg), ×44/12

Outside the data this model was fitted on: height above the fitted 8.8 m. Results may be unreliable.

Fitted DBH range02004006008001,000510152025303540DBH (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 = 20, H = 10209209Computed from the printed form
hand-computed from the published form
D = 40, H = 141,1261,126Computed from the printed form
hand-computed from the published form

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