Tree Allometrics

Equations / Aboveground biomass

Native shrubs NZ (3 spp, all sites): AGB from D (Table 7)

Aboveground biomassCoprosma robusta, Pittosporum crassifolium and Melicytus ramiflorus (generalized)New ZealandmixedRead from the original paper

Fitted on these 3 species: Coprosma robusta, Pittosporum crassifolium, Melicytus ramiflorus

3 of the 3 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Table 7)

Generalized- All sites ln(AGB) =ln (a)+b×ln(D) -3.69**** 2.45**** … CF 1.07

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

Aboveground biomass = 1.07 * exp(-3.69 + 2.45 * ln(DRC))
DRC
Root collar / stem base diameter, cm

AGB is the sum of stem, branch and foliage dry biomass of the shrub. Natural log. D is the basal stem diameter over bark about 10 cm above ground (multi-stemmed shrubs: square root of the sum of stem diameters), mapped to DRC; H is total height in m. Table 7 reports adjusted R2 = 0.881 and RMSE = 0.337 (not used as r2 or rse). Shrubs had basal diameter up to 10 cm (mean D 3.4 to 3.8 cm by species, Table 4); the paper prints no D range for these models. The CF column is the factor the paper applies to back-transformed predictions.

Source
CF = e(RSE²/2) Equation 2; Table 7 CF column 1.07
Correction factor · Methods, Equation 2; Table 7
Trees measured
54
Correction factor
1.07 (applied)
Method
OLS regression on natural logarithms (power form), back-transformed with correction factor CF = exp(RSE^2/2)
Where
Limestone Downs (Waikato west coast) and Massey University sites, Manawatu-Waikato
Last checked
2026-11-02
Calculate
0.146
Aboveground biomass (kg)
0.0686
Carbon (kg), ×0.47
0.252
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 = 20.1460.146Computed from the printed form
computed from the published form (a is ln(a), CF applied, coefficients as printed)
DRC = 40.7980.798Computed from the printed form
computed from the published form (a is ln(a), CF applied, coefficients as printed)
DRC = 84.364.36Computed from the printed form
computed from the published form (a is ln(a), CF applied, coefficients as printed)

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