Equations / Aboveground biomass

Cerrado sensu stricto wood + bark dry mass from D30 (quadratic, Fig. 5)

Aboveground biomassCerrado sensu stricto woody species (47 species)BrazilnaturalRead from the original paper

Many species, no single photo

Equation

As printed (Figura 5, p. 124)

y = 26,501 - 7,0631*x + 0,5169*x2

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

Aboveground biomass = 26.501 - 7.0631 * D30 + 0.5169 * D30^2

D30: Stem diameter at 30 cm, cm

x is the stem diameter at 30 cm above ground (D30), not DBH. Total = wood plus bark of trunk and branches; branches under 3 cm basal diameter were removed before weighing, and the paper does not say how foliage was treated, so no exclusion is declared. The paper states 3 trees per diameter class in seven classes but not a total n, so n_trees and the fitted diameter range are left out.

Source

Vale, A.T., Fiedler, N.C., Silva, G.F. (2002). Avaliação energética da biomassa do cerrado em função do diâmetro das árvores. Ciência Florestal, 12(2), 115-126.

doi:10.5902/198050981686 · Open access · copy we read

R2 = 0,92

R² · Figura 5, p. 124

em função do diâmetro a 30 cm de altura do solo

input · Resumo

Massa seca total (kg/árv.)

Output · Figura 5, p. 124

R²: 0.92
Method: Quadratic regression y = b0 + b1x + b2x2 (SAEG); best of 12 equations tested
Where: Fazenda Água Limpa, Universidade de Brasília, Distrito Federal
Last checked: 2026-11-02

Calculate

D30 (cm)

7.56

Aboveground biomass (kg)

3.55

Carbon (kg), ×0.47

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%.

Inputs	Expected	We get	From
D30 = 10	7.56	7.56	Computed from the printed form computed from the printed Figure 5 equation
D30 = 20	92	92	Computed from the printed form computed from the printed Figure 5 equation

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