Tree Allometrics

Equations / Aboveground biomass

Quercus coccifera total aboveground fuel (biomass) from basal diameter, all development states

Aboveground biomassQuercus coccifera · FagaceaeSpainnaturalRead from the original paper
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Equation

As printed (Table 2 caption)

Y=((exp(a))×(X^b))×CF

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

Aboveground biomass = exp(4.056) * DRC^2.481 * 1.069 / 1000
DRC
Root collar / stem base diameter, cm

Total fuel here is all plant biomass of the individual (living plus dead, all size classes), pooled over four post-fire development states (5, 9, 14 and 26 years). X is basal stem diameter in cm (the paper says measured in cm; Table 2 does not repeat the unit) and Y is in grams. Individuals sampled are 10-12 per species per state; per-species n and diameter range are not stated, so left out. Equation is a species-level shrub or small-tree fuel model. The paper writes the fit as 'log Y = log a + b log X' without naming the base, but prints the back-transform as Y = exp(a) × X^b × CF (Table 2 caption), so a is taken as a natural-log intercept as the paper itself does.

Source
Q. coccifera | Total fuel | Diameter | 4.056 | 2.481 | 0.889 | 0.365 | 1.069
Equation · Table 2 (columns: species, dependent variable Y, independent variable X, a, b, r2, SEE, CF)
we measured four structural variables ... basal stem diameter, height, maximum crown diameter
Units · Methods, Sampling of species-specific structural variables (measurements in cm)
The weight of fuel fractions was measured in grams.
published.output unit · Methods, Sampling of species-specific structural variables
R²
0.889
Correction factor
1.069 (applied)
Method
log-log regression with Sprugel (1983) correction factor
Where
Ayora, Valencia Province, eastern Spain (post-fire stands 5-26 years old)
Last checked
2026-11-02
Calculate
18.68
Aboveground biomass (kg)
8.782
Carbon (kg), ×0.47
32.2
CO₂e (kg), ×44/12
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
DRC = 1018.718.7Computed from the printed form
hand-computed from the published form

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