Equations / Aboveground biomass

Longleaf pine above-stump biomass, model 9 (DBH + ln(H.DBH))

Aboveground biomassPinus palustris · PinaceaeUnited StatesmixedRead from the original paper

Equation

As printed (Table 4)

9th: ln (W ) = − 1.7709 + 0.0544. ( DBH ) + 0.6273.ln ( H .DBH )

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

Aboveground biomass = exp(-1.7709 + 0.0544 * D + 0.6273 * ln(H * D))

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

W is total above-stump biomass (kg); the paper does not say which components are included. Natural log; no back-transformation correction factor is stated, so none is applied. r2 is the adjusted R2 and rse is Sy.x as printed in Table 2. ln(H.DBH) is read as ln of the product H x DBH. The paper also prints stand-level models (Eqs. 15 and 16, needing basal area, trees per hectare and quadratic diameter), which are not captured because those inputs are not canonical variables.

Source

Farias, A.A., Gezan, S.A., Carvalho, M.P., et al. (2019). Allometric Equations to Predict Pinus palustris Biomass in the Southeastern United States. Floresta e Ambiente, 26(Spec No 1), e20180403.

doi:10.1590/2179-8087.040318 · Open access · copy we read

The dataset consisted of measures of 100 longleaf pine trees, obtained from three different sites

Trees measured · Section 2

DBH cm 16.0 13.7 0.81 54.3

Largest DBH · Table 1 (mean, SD, min, max)

H m 11.5 7.7 0.55 30.4

h max m · Table 1 (mean, SD, min, max)

9 0.3641 0.9784

R² · Table 2, model 9 (Sy.x, adjusted R2)

Trees measured: 100
DBH range: 0.81–54.3 cm
Height range: 0.55–30.4 m
R²: 0.9784
Residual SE: 0.3641
Method: ordinary least squares on ln(W)
Where: Fort Benning, Camp Lejeune and Polk County, southeastern United States
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

4.581

Aboveground biomass (kg)

2.153

Carbon (kg), ×0.47

7.895

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 = 10, H = 8	4.58	4.58	Computed from the printed form hand-computed from the Table 4 coefficients
D = 30, H = 20	48.1	48.1	Computed from the printed form hand-computed from the Table 4 coefficients

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Longleaf pine above-stump biomass, model 5 (H + ln(H.DBH)) · same paper · Aboveground biomass

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Longleaf pine above-stump biomass, model 9 (DBH + ln(H.DBH))

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