Tree Allometrics

Equations / Aboveground biomass

Norway spruce, Czech Republic: Total aboveground biomass from D (Table 2)

Aboveground biomassPicea abies · PinaceaeCzechiamixedRead from the original paper
Photo of Picea abies
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Table 2 and Eq. 2, p. 113 and p. 110)

AGB = exp(b0 + b1ln(D))λ; b0 = -1.95298, b1 = 2.35768, λ = 0.986

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

Aboveground biomass = exp(-1.95298 + 2.35768 * ln(D)) * 0.986
D
Diameter at breast height (1.3 m), cm

Coefficients, R2 and lambda as printed in Table 2 (lambda per Marklund 1987, Eq. 3, already multiplied in). H/D is slenderness ratio, tree height (m) over DBH (cm). Not recommended for trees with D < 7 cm. Table 2 also gives models with site index (SI) or tree age (A) and crown biomass models, not added here (no canonical variable for SI or A; crown has no output quantity).

Source
an extensive data set of 139 spruce trees collected in 25 stands on 15 sites
Trees measured · Abstract
Trees measured
139
R²
0.95
Correction factor
0.986 (applied)
Method
log-log linear regression with Marklund (1987) back-transformation correction factor
Where
25 stands on 15 sites, Czech Republic (acidic and nutrient-medium sites)
Last checked
2026-11-02
Calculate
31.87
Aboveground biomass (kg)
14.98
Carbon (kg), ×0.47
54.92
CO₂e (kg), ×44/12
02004006008001,000510152025303540DBH (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 = 1031.931.9Computed from the printed form
computed from the published form (coefficients as printed)
D = 25276.4276.4Computed from the printed form
computed from the published form (coefficients as printed)
D = 451,1051,105Computed from the printed form
computed from the published form (coefficients as printed)

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