Pinus radiata / Stem biomass

Radiata pine stemwood from DBH²H (Eq. 10)

Stem biomassPinus radiata · PinaceaeSouth AfricaplantationRead from the original paper

Equation

As printed (Table 3)

Stemwood, Eq. 10, Ln(DBH2H): β0 = -3.607, β1 = 0.911, CF = 1.029

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

Stem biomass = 1.029 * exp(-3.607 + 0.911*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. Biomass is oven-dry mass. Eq. 10 is the authors' best model for stemwood and total. Stemwood (SW) is stem wood without bark; bark is a separate component in Table 3 and is not included here. Table 1 lists 19 stemwood (SW) values against 20 felled trees, so n for the stemwood models is not stated unambiguously and is left out.

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 = 0.91

R² · Table 3

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

DBH range: 10.4–38.9 cm
Height range: 10.88–25.52 m
R²: 0.91
Correction factor: 1.029 (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

42.9

Stem biomass (kg)

20.2

Carbon (kg), ×0.47

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	42.9	42.9	Computed from the printed form computed from the published form
D = 30, H = 22	229	229	Computed from the printed form computed from the published form

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Compare these curves

Radiata pine stemwood from DBH²H (Eq. 10)

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