Tree Allometrics

Equations / Stem biomass

Parque Cerrado, stem biomass with bark, independent fit (Table 2)

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

As printed (Table 2, p. 712)

BF = 0.01544 * DAP^2.01859 * Ht^1.11354

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

Stem biomass = 0.01544 * D^2.01859 * H^1.11354
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

BF is stem biomass (fuste com casca). 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
nonlinear least squares (Schumacher-Hall form), independent fit
Where
Northwest Goiás, Parque Cerrado (Cerrado biome)
Last checked
2026-11-02
Calculate
Height from
1.862
Stem biomass (kg)
0.875
Carbon (kg), ×0.47
3.209
CO₂e (kg), ×44/12
020406080100120140510152025303540DBH (cm)Stem biomass (kg)Stem 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 = 41.861.86Computed from the printed form
hand-computed from the published form (coefficients as printed)
D = 10, H = 611.911.9Computed from the printed form
hand-computed from the published form (coefficients as printed)
D = 20, H = 975.475.4Computed from the printed form
hand-computed from the published form (coefficients as printed)

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