Tree Allometrics

Equations / Aboveground biomass

C. tabularis AGB from D2H (Model 7, bias-corrected)

Aboveground biomassChukrasia tabularis · MeliaceaeBangladeshnaturalRead from the original paper
Photo of Chukrasia tabularis
© A. J. T. Johnsingh · CC BY-SA · iNaturalist
Equation

As printed (Results, Allometric models for total aboveground biomass (Model 7, Table 4), p. 208)

Ln (TAGB) = -3.571 + 1.006 × Ln (D2 × H)

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

Aboveground biomass = exp(-3.571 + 1.006 * ln(D^2 * H)) * 1.029
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Adjusted R2 0.960 and RSE 0.243 as printed for Model 7 in Table 4 (RSE is on the log scale). The paper also prints the final back-transformed form as TAGB = 0.028953 × (D2 × H)^1.006 and a bias-corrected 0.029821 × (D2 × H)^1.006; these two coefficients are not consistent with exp(-3.571) = 0.02813 (0.028953 is close to exp(-3.571) × 1.029, and 0.029821 looks like the correction applied twice). This record uses the printed log-log equation with the printed CF 1.029 (coefficient 0.02894); the paper's 0.029821 form gives about 3% more biomass. Sample was 98 trees for model development (n_trees) plus 22 for validation (120 in total), per the Sampling section, p. 204.

Source
7 -3.571 1.006 ... 1.029
Correction factor · Table 4, Model 7 row (CF column 1.029)
In the first event, 98 individuals were chosen to derive the allometric model, covering diameter at breast height and total height range of 9–52 cm and 9–37 m respectively.
Trees measured · Sampling and measurement of sample trees, p. 204
diameter at breast height (9–52 cm) and total height (9–37 m)
Smallest DBH · Discussion, p. 208
Trees measured
98
DBH range
9–52 cm
Height range
9–37 m
R²
0.96
Residual SE
0.243
Correction factor
1.029 (applied)
Method
log-log regression (natural log) with Sprugel correction factor; semi-destructive
Where
Rema-Kalenga Wildlife Sanctuary, Sylhet region, Bangladesh
Last checked
2026-11-02
Calculate
Height from
102.6
Aboveground biomass (kg)
48.2
Carbon (kg), ×0.47
176.8
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600700800510152025303540DBH (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 = 15, H = 15102.6102.6Computed from the printed form
computed from the published form (exp of the printed log-log equation times the printed CF 1.029)
D = 30, H = 22608.1608.1Computed from the printed form
computed from the published form (exp of the printed log-log equation times the printed CF 1.029)
D = 45, H = 301,8781,878Computed from the printed form
computed from the published form (exp of the printed log-log equation times the printed CF 1.029)

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