Tree Allometrics

Equations / Aboveground biomass

White spruce total aboveground biomass from DBH and height (Table 4)

Aboveground biomassPicea glauca · PinaceaeUnited StatesmixedRead from the original paper
Photo of Picea glauca
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Table 4, species row and table note)

White spruce a, b, c, d, CF: −1.9682 1.9401 0.421 CF 1.0000; model form exp(a + bX1 + cX2)

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

Aboveground biomass = exp(-1.9682 + 1.9401 * ln(D) + 0.421 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

AGB is total aboveground live-tree biomass (stem, bark, branches, foliage). X1 = ln(DBH), X2 = ln(HT), DBH in cm and HT in m. Species identified from the common name in Table 4 (scientific name added from the standard species symbol). Stand type is not stated. Observed ranges in Table 1 cover all trees of the species used.

Source
White spruce ... n 108
Trees measured · Table 1
White spruce DBH min 3.6 max 57.6; HT min 2.2 max 37.5
Smallest DBH · Table 1
Trees measured
108
DBH range
3.6–57.6 cm
Height range
2.2–37.5 m
Method
nonlinear regression, response not log-transformed (CF = 1.0000)
Where
Western U.S.A., legacy destructive-sampling biomass collection (Radtke et al. 2015)
Last checked
2026-11-02
Calculate
Height from
146
Aboveground biomass (kg)
68.64
Carbon (kg), ×0.47
251.7
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (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 = 20, H = 15146146Computed from the printed form
computed from the Table 4 coefficients
D = 40, H = 25694.9694.9Computed from the printed form
computed from the Table 4 coefficients

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