Tree Allometrics

Equations / Aboveground biomass

Pinus brutia total biomass, Middle East (Eq. 47)

Aboveground biomassPinus brutia · PinaceaeSyria, LebanonnaturalRead from the original paper
Photo of Pinus brutia
© Zeynel Cebeci · CC BY-SA · iNaturalist
Equation

As printed (Table 3, Middle East, Eq. 47, p. 105)

y = e^(0.119 + 10.122·d/(d + 23.225))

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

Aboveground biomass = exp(0.119 + 10.122 * D / (D + 23.225))
D
Diameter at breast height (1.3 m), cm

Printed residual standard error 0.614 and variance function coefficient δ = 0.768 (model fitted on the original scale, so RSE is not a log-scale value and is not entered as fit.rse). Total aboveground biomass = stem + branches + needles (dry). DBH-only forms are those the authors recommend for tree- and forest-level predictions. Country-specific DBH and height ranges are not printed; the ranges shown are for all 201 trees. Equations using crown length (19, 21) and the crown-biomass equations (23, 24, 33, 34, 43, 44) are not included.

Source
201 P. brutia trees
Trees measured · Section 2.1, p. 103
Trees measured
201
DBH range
2.3–55.8 cm
Height range
3.1–32.5 m
Method
nonlinear generalized least squares on the intrinsically linear form, power variance function (no back-transform correction)
Where
Syria and Lebanon pooled
Last checked
2026-11-02
Calculate
23.7
Aboveground biomass (kg)
11.14
Carbon (kg), ×0.47
40.84
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600700510152025303540DBH (cm)Aboveground biomass (kg)Aboveground 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 = 1023.723.7Computed from the printed form
computed from the published form (coefficients as printed)
D = 25214.1214.1Computed from the printed form
computed from the published form (coefficients as printed)
D = 45893.6893.6Computed from the printed form
computed from the published form (coefficients as printed)

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