Tree Allometrics

Equations / Aboveground biomass

Short-stature boreal trees (<=4.5 m), AGB from stem diameter at 0.3 m (NLS)

Aboveground biomassMultispecies short-stature trees (Betula papyrifera, Picea spp., Populus balsamifera, Populus tremuloides)CanadanaturalRead from the original paper
Many species, no single photo
Equation

As printed (Table 5 and Eq. 7)

Multispecies trees, Diameter at 0.3 m: NLS β 59.072, NLS α 2.479; y = β x^α

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

Aboveground biomass = 59.072 * D30^2.479 / 1000
D30
Stem diameter at 30 cm, cm

Total aboveground dry biomass (stem, branches, leaves) in grams; canonical form divides by 1000 for kg. Stem diameter measured 0.3 m along the stem from the ground. Paper gives the NLS and LLRC forms; the LLRC correction factor (epsilon = e^(MSE/2)) value is in Supplementary Table S4, which was not read, so LLRC is not added. n_trees omitted: text says 106 trees, Table 1 says 105 tree samples. Shrub volume/basal-diameter models and the cross-sectional-area models, the stem-length model and species-specific models not added (no canonical variable, or coefficients only in the supplement).

Source
NLS, Diameter at 0.3 m, R2 0.988
R² · Table 4
Live trees were chosen from the understory and open areas across different height ranges determined in intervals of 0.5 m up to ≤4.5 m
h max m · Section 2.3
Height range
up to 4.5 m
R²
0.988
Method
nonlinear least squares power function, y = beta * x^alpha (unweighted)
Where
Fort Liard area, Taiga Plains, Northwest Territories
Last checked
2026-11-02
Calculate
0.329
Aboveground biomass (kg)
0.155
Carbon (kg), ×0.47
0.568
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
D30 = 20.3290.329Computed from the printed form
computed from the published form (coefficients as printed)
D30 = 53.193.19Computed from the printed form
computed from the published form (coefficients as printed)
D30 = 1017.817.8Computed from the printed form
computed from the published form (coefficients as printed)

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