Tree Allometrics

Pinus densiflora / Foliage biomass

Pinus densiflora needle (crown fuel) biomass from DBH (Table 3)

Foliage biomassPinus densiflora · PinaceaeSouth KoreanaturalRead from the original paper
Photo of Pinus densiflora
© harum.koh · CC BY-SA · iNaturalist
Equation

As printed (Eq. 1)

ln(Wt) = a ln(DBH) + b

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

Foliage biomass = exp(1.893 * ln(D) - 3.835) * 1.028
D
Diameter at breast height (1.3 m), cm

Needle dry mass (crown fuel), a foliage-only equation. Printed R2adj is 0.917. In Table 3 column 'a' is the ln(DBH) slope and 'b' the intercept, per Eq. 1. Correction factor 1.028 as printed (exp(s.e.e.^2/2)). Natural forests with a mix of managed and unmanaged stands. The paper also prints branch diameter-class equations (<0.5, 0.5-1, 1-2, 2-4, >4 cm) and a total crown fuel equation (needles + branches, no stem); those are not added because they are partial-branch or crown-only totals with no matching output quantity.

Source
Wt = exp(a ln(DBH) + b) × CF
Equation · Eq. 4
Needles 67 1.893 (0.070) −3.835 (0.200) 0.917 0.236 1.028
Equation · Table 3 (n, a, b, R2adj, s.e.e., correction factor)
A total of 67 sample trees were selected across the seven study areas
Trees measured · Section 2.2
The average DBH and tree height were 18.1 cm (range: 5.0–35.1 cm) and 11.1 m (range: 4.5–19.6 m)
Largest DBH · Section 2.2
Trees measured
67
DBH range
5–35.1 cm
Height range
4.5–19.6 m
Correction factor
1.028 (applied)
Method
OLS regression of ln(W) on ln(DBH), back-transformed with a correction factor
Where
Seven sites across South Korea (Daegu, Yangyang, Yeongju, Bonghwa, Goryeong, Mungyeong, Seosan)
Last checked
2026-11-02
Calculate
1.74
Foliage biomass (kg)
0.816
Carbon (kg), ×0.47
2.99
CO₂e (kg), ×44/12
Fitted DBH range0510152025510152025303540DBH (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 = 101.741.74Computed from the printed form
computed from the Table 3 coefficients and correction factor
D = 259.849.83Computed from the printed form
computed from the Table 3 coefficients and correction factor

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