Tree Allometrics

Equations / Aboveground biomass

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

Aboveground biomassXimenia americana · OlacaceaeBrazilnaturalRead from the original paper
Photo of Ximenia americana
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Table 2, p. 360)

MS = -2,81201+(0,0817217*DH²)

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

Aboveground biomass = -2.81201 + 0.0817217 * DRC * H^2
DRC
Root collar / stem base diameter, cm
H
Total tree height, m

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 4 a 12 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
95,5 (R²)
R² · Table 2, p. 360
Trees measured
15
R²
0.955
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
-1.178
Aboveground biomass (kg)
-0.554
Carbon (kg), ×0.47
-2.029
CO₂e (kg), ×44/12

The model gives a negative value for this tree, so it does not apply here.

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 = 5, H = 2-1.18-1.18Computed from the printed form
hand-computed from the published form (coefficients as printed)
DRC = 8, H = 33.073.07Computed from the printed form
hand-computed from the published form (coefficients as printed)
DRC = 11, H = 411.611.6Computed from the printed form
hand-computed from the published form (coefficients as printed)

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