Pinus patula / Branch biomass

Pinus patula Branch biomass from D and H (Table 4)

Branch biomassPinus patula · PinaceaeMexiconaturalRead from the original paper

Equation

As printed (Section 3.1 (Model 1, Table 1))

y = e(−β0 + β1 ln (D × TH))

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

Branch biomass = exp(-7.8825 + 1.8028 * ln(D * H))

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

Printed form y = e^(−β0 + β1 ln(D × TH)); the tabulated β0 is positive and enters with a minus sign, as printed. Units are D in cm, TH in m, biomass in kg dry weight (Figure 3). No correction factor stated. Parameters read from Table 4 of the journal PDF (p. 165); the HTML version offers no CSV for Table 4. The paper also fits an additive simultaneous system (Table 6) with slightly different parameters; not added. The foliage model (Table 4: ϖ0 8.1986, ϖ1 1.6628, R2 0.9762) is not added here; the printed additive formula in Section 3.3 shows the foliage intercept without the minus sign, but Figure 3(d) (p. 166) prints the fitted foliage curve as y = e^(−8.198579+(1.66277 ln(D x TH))), n=25, so the sign is a typesetting slip and the model could be added as exp(−8.1986 + 1.6628 ln(D × TH)). Authors recommend use for 5 to 25 cm DBH.

Source

Martínez-Domínguez, A., Ruiz-Aquino, F., Santiago-García, W., et al. (2020). Allometric equations to estimate aboveground and belowground biomass of Pinus patula Schiede ex Schltdl. & Cham. Forest Science and Technology, 16(3), 161-170.

doi:10.1080/21580103.2020.1801526 · Open access · copy we read

δ0 7.8825, δ1 1.8028, R2 0.9825

Equation · Table 4, Branches row, p. 165

a destructive analysis was made of 25 trees distributed in five diameter classes

Trees measured · Abstract

diameter at breast height (D) that varied from 3.5 cm to 25.7 cm, with a total height (TH) fluctuating from 4.32 m to 20.18 m

Smallest DBH · Section 3.1

Trees measured: 25
DBH range: 3.5–25.7 cm
Height range: 4.32–20.18 m
R²: 0.9825
Method: nonlinear regression (SAS PROC MODEL), exponential form
Where: Ixtlán de Juárez, Sierra Norte, Oaxaca (pine-oak forest)
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

0.535

Branch biomass (kg)

0.251

Carbon (kg), ×0.47

0.922

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 = 8, H = 7	0.535	0.535	Computed from the printed form computed from the published form
D = 13, H = 12	3.39	3.39	Computed from the printed form computed from the published form
D = 22, H = 18	18.2	18.2	Computed from the printed form computed from the published form

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Pinus patula Belowground (root) biomass from D and H (Table 5) · same paper · Root biomass
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Compare these curves

Pinus patula Branch biomass from D and H (Table 4)

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