Pinus radiata / Branch biomass

Radiata pine branch from DBH (Eq. 8)

Branch biomassPinus radiata · PinaceaeSouth AfricaplantationRead from the original paper

Equation

As printed (Table 3)

Branch, Eq. 8, Ln(DBH): β0 = -3.432, β1 = 2.09, CF = 1.093

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

Branch biomass = 1.093 * exp(-3.432 + 2.09*ln(D))

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

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. Needle and branch tree-level totals come from branch-level upscaling; two outliers were removed, leaving 18 trees, so n is not entered here. 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 = 0.7

R² · Table 3

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

Smallest DBH · Discussion

DBH range: 10.4–38.9 cm
R²: 0.7
Correction factor: 1.093 (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)

10.1

Branch biomass (kg)

4.77

Carbon (kg), ×0.47

17.5

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	10.1	10.1	Computed from the printed form computed from the published form
D = 30, H = 22	43.2	43.2	Computed from the printed form computed from the published form

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Radiata pine needle from DBH (Eq. 8) · same paper · Foliage biomass
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Compare these curves

Radiata pine branch from DBH (Eq. 8)

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