Tree Allometrics

Equations / Aboveground biomass

Byrsonima gardneriana, total aerial dry biomass from ground-level diameter and height (Table 2)

Aboveground biomassByrsonima gardneriana · MalpighiaceaeBrazilnaturalRead from the original paper
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Equation

As printed (Table 2, p. 360)

MS=-92,8787+(58,8329*H)+(-8,94707*H²)+(1,79877*DH)+(0,522902*DH²)

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

Aboveground biomass = -92.8787 + 58.8329 * H - 8.94707 * H^2 + 1.79877 * DRC * H + 0.522902 * DRC * H^2
H
Total tree height, m
DRC
Root collar / stem base diameter, cm

Table 2 prints R2 as a percentage. D is diameter at ground level (DAS, 'diâmetro ao nível do solo', cm), mapped to DRC; H is total height in m; MS is dry mass in kg (Table 2 footnote). 'DH' and 'DH2' are read as D*H and D*H^2, and 'D2H' as D^2*H (variables listed on p. 358 as DAS*H, DAS*H2, DAS2*H). Total aerial dry biomass (leaves, branches, trunk). Diameter range of the sampled trees printed as 2,5 a 18 cm (ground-level diameter, so not entered as a DBH range): use inside that range. Equations were also fitted by diameter class for all species pooled (Table 3); those are not included here.

Source
amostrados 15 indivíduos, sendo três para cada classe de diâmetro, com exceção da espécie Chamaecrista belemii, em que foram amostrados 30 indivíduos
Trees measured · Ajuste das equações de regressão, p. 357
96,2 (R²)
R² · Table 2, p. 360
Trees measured
15
R²
0.962
Method
regression; model chosen among literature models and Backward/Forward stepwise fits by residual plots, S%, t test and R2
Where
Casa Nova and Remanso, northern Bahia, lower-middle São Francisco (caatinga arbustivo-arbórea)
Last checked
2026-11-02
Calculate
Height from
43.51
Aboveground biomass (kg)
20.45
Carbon (kg), ×0.47
74.98
CO₂e (kg), ×44/12
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
DRC = 4, H = 343.543.5Computed from the printed form
hand-computed from the published form (coefficients as printed)
DRC = 8, H = 4123.8123.8Computed from the printed form
hand-computed from the published form (coefficients as printed)
DRC = 14, H = 6352.7352.7Computed from the printed form
hand-computed from the published form (coefficients as printed)

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