Tree Allometrics

Pinus radiata / Foliage biomass

Radiata pine needle from DBH (Eq. 8)

Foliage biomassPinus radiata · PinaceaeSouth AfricaplantationRead from the original paper
Photo of Pinus radiata
© Forest and Kim Starr · CC BY · iNaturalist
Equation

As printed (Table 3)

Needle, Eq. 8, Ln(DBH): β0 = -2.481, β1 = 1.624, CF = 1.057

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

Foliage biomass = 1.057 * exp(-2.481 + 1.624*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
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 = 0.69
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
0.69
Correction factor
1.057 (applied)
Method
ln-ln linear regression (R lm), Baskerville correction factor
Where
Boland region, Western Cape, South Africa
Last checked
2026-11-02
Calculate
7.19
Foliage biomass (kg)
3.38
Carbon (kg), ×0.47
12.4
CO₂e (kg), ×44/12
Fitted DBH range010203040510152025303540DBH (cm)Foliage biomass (kg)Foliage biomass

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%.

InputsExpectedWe getFrom
D = 15, H = 147.197.19Computed from the printed form
computed from the published form
D = 30, H = 2222.222.2Computed from the printed form
computed from the published form

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