Tree Allometrics

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Oak total tree biomass (compatible total-biomass system)

Total biomassQuercus · FagaceaeChinamixedRead from the original paper
Covers the whole genus
Equation

As printed (Table 10, Eq. 35-37)

Btotal = 0.0927573 (D 2 H) 0.89013 + 0.018969 (D 2 H) 0.89162 (35)

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

Total biomass = 0.092757 * (D^2 * H)^0.89013 + 0.018969 * (D^2 * H)^0.89162
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Final total-biomass model (aboveground + root). Compatible total-biomass system (aboveground fitted independently, total and root fitted jointly by simultaneous estimation; weighted nonlinear least squares). Total = aboveground + root. The paper lists the sample as stratified random felled trees across eight diameter classes (4-32 cm) from 2022-2023; the reported minimum and maximum DBH and height are for all sampled trees of the species (Table 1). Root biomass was measured on a subset only (whole-root excavation: root collar, coarse roots, fine roots), so root and total fit ranges are not given beyond the full sample. No back-transform factor (nonlinear fit). The paper also gives aboveground-component (stem, crown, wood, bark, branch, foliage) systems (Tables 17-39), not added here. Eq. 35 prints C0 as 0.0927573 while Table 10 prints 0.092757; Table 10 is used.

Source
The sample comprised 154 Chinese fir, 150 poplar, and 157 oak trees.
Trees measured · Section 2.2
DBH (cm) 3.5 38.9 16.69 8.87
Smallest DBH · Table 1, oak
Tree height (m) 3.7 24.7 12.93 4.70
h min m · Table 1, oak
(26) 0.092757 0.890130 0.018969 0.891620 9.66 1.36 68.08 7.98
Equation · Table 10 (parameters)
R2 0.9651 (total biomass model, evaluation table)
R² · Table 13
Trees measured
157
DBH range
3.5–38.9 cm
Height range
3.7–24.7 m
R²
0.9651
Method
weighted nonlinear least squares
Where
Hunan Province (14 prefecture-level cities and autonomous prefectures)
Last checked
2026-11-02
Calculate
Height from
47.7
Total biomass (kg)
22.4
Carbon (kg), ×0.47
82.2
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (cm)Total biomass (kg)Total 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 = 10, H = 947.747.7Computed from the printed form
hand-computed from the published form
D = 30, H = 20687687Computed from the printed form
hand-computed from the published form

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