Equations / Aboveground biomass

Radiata pine total aboveground from DBH²H (Eq. 10)

Aboveground biomassPinus radiata · PinaceaeSouth AfricaplantationRead from the original paper

Equation

As printed (Table 3)

Total, Eq. 10, Ln(DBH2H): β0 = -2.31, β1 = 0.817, CF = 1.03

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

Aboveground biomass = 1.03 * exp(-2.31 + 0.817*ln(D^2*H))

D: Diameter at breast height (1.3 m), cm
H: Total tree height, m

Natural-log model; correction factor CF = exp(RSE²/2) (Baskerville) as printed in Table 3 is applied in the expression. H is total tree height (m). Stand-level site: 4 plantation sites aged 13 to 20 years. Sum of the component models underestimates this total for large trees (paper, Biomass estimation section). Biomass is oven-dry mass. Eq. 10 is the authors' best model for stemwood and total.

Source

Pienaar, L. O., Calama, R., Olivar, J., et al. (2025). Allometric equations for biomass and carbon pool estimation in short rotation Pinus radiata stands of the Western Cape, South Africa. European Journal of Forest Research, 144, 855–873.

doi:10.1007/s10342-024-01730-9 · Open access · copy we read

ln (Y) = β0 + β1ln(X1) + ⋯ + βjln(Χj) needs to be multiplied by the CF to transform the values to the arithmetic scale

Equation · Table 3 footnote

R2 = 0.89

R² · Table 3

A total of 20 Radiata pine trees were felled for biomass across 4 sites in the Boland region

Trees measured · Section 2 (Materials and methods)

the sample trees in this study range from 10.4 cm to 38.9 cm

Smallest DBH · Discussion

DBH (cm) 20 38.9 10.4 24.5 8.3; H (m) 20 25.52 10.88 16.78 3.89 (n, Max, Min, Mean, SD)

h min m · Table 1, Upscaling II

Trees measured: 20
DBH range: 10.4–38.9 cm
Height range: 10.88–25.52 m
R²: 0.89
Correction factor: 1.03 (applied)
Method: ln-ln linear regression (R lm), Baskerville correction factor
Where: Boland region, Western Cape, South Africa
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

73.75

Aboveground biomass (kg)

34.66

Carbon (kg), ×0.47

127.1

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 15, H = 14	73.7	73.7	Computed from the printed form computed from the published form
D = 30, H = 22	331.1	331.1	Computed from the printed form computed from the published form

Report a problem with this equation · JSON

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Compare these curves

Radiata pine total aboveground from DBH²H (Eq. 10)

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