Tree Allometrics

Equations / Aboveground biomass

Parque Cerrado, total aboveground biomass as stem + crown, simultaneous WNSUR system (Table 4)

Aboveground biomassParque Cerrado tree species (mixed)BrazilnaturalRead from the original paper
Many species, no single photo
Equation

As printed (Table 4, p. 712)

AGB = BF + BC (BF = 0.01987 * DAP^2.00834 * Ht^1.00618; BC = 0.25989 * DAP^1.91240 * Ht^-0.12066)

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

Aboveground biomass = 0.01987 * D^2.00834 * H^1.00618 + 0.25989 * D^1.9124 * H^(-0.12066)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Total is the sum of the system's stem (BF) and crown (BC, branches and leaves) equations, as the paper defines AGB = BF + BC in Table 4. Equation printed with DAP and Ht as variables; units are not stated beside the model and are read as DAP in cm and Ht in m (the paper gives the DAP >= 5 cm inclusion criterion and biomass in kg); magnitudes are consistent. Adjusted R2 (not R2) is printed, so fit.r2 is left out. The paper reports no DAP or height range of the fitted trees (only the DAP >= 5 cm inclusion criterion), so none is given. Dry biomass from 97 destructively sampled trees in ten 10 m x 10 m plots.

Source
97 indivíduos presentes em dez parcelas de 10 metros x 10 metros
Trees measured · 2.1 Caracterização da área e coleta de dados, p. 709
Trees measured
97
Method
weighted nonlinear seemingly unrelated regression (WNSUR) system, Schumacher-Hall form
Where
Northwest Goiás, Parque Cerrado (Cerrado biome)
Last checked
2026-11-02
Calculate
Height from
6.8
Aboveground biomass (kg)
3.2
Carbon (kg), ×0.47
11.7
CO₂e (kg), ×44/12
0100200300400510152025303540DBH (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 = 5, H = 46.86.8Computed from the printed form
hand-computed from the published form (coefficients as printed)
D = 10, H = 629.429.4Computed from the printed form
hand-computed from the published form (coefficients as printed)
D = 20, H = 9136136Computed from the printed form
hand-computed from the published form (coefficients as printed)

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