Tree Allometrics

Equations / Root biomass

Root system dry biomass from root collar diameter (Table 4, form 7)

Root biomassAndrostachys johnsonii · PicrodendraceaeMozambiquenaturalRead from the original paper
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Equation

As printed (Table 4, Root system rows, and Eq. (7; Ŷ = b0 × RCD^b1))

Root system 4 1/0.00007 × RCD4.2484 0.0230 (±0.0042)*** 2.4519 (±0.0608)***

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

Root biomass = 0.023 * DRC^2.4519
DRC
Root collar / stem base diameter, cm

For felled trees where only stump dimensions are available. RCD is the root collar diameter (mapped to DRC); the paper does not define its measurement height in the text read. Fit range quoted is the DBH range of the sample (RCD range not stated), so dbh_min/max are dropped for this equation. Weight function 1/(0.00007 × RCD^4.2484). Root system = taproot (including root collar) + lateral roots, excavated to full depth, fine roots included, dry mass at 105 C; stump above 20 cm is not part of it. Independent (not WNSUR additive) model, which the author recommends over the simultaneous ones. One of four independent root-system models in Table 4; all performed almost equally.

Source
93 trees (DBH range 5–32 cm; TH range 5.69–16 m)
Trees measured · Methods, Data acquisition
Root system 4 99.79 28.8790
R² · Table 5, Root system
The dry weight of the root system was obtained by summing the dry weights of taproot and lateral roots (fine and coarse ones).
Output · Methods, Data acquisition
Trees measured
93
R²
0.9979
Method
Weighted nonlinear least squares (nls, Gauss-Newton); r2 is the adjusted R² in Table 5; CVr = 28.879%
Where
Mabote, Funhalouro, Panda, Mandlakaze and Chibuto districts, Inhambane and Gaza provinces
Last checked
2026-11-02
Calculate
6.511
Root biomass (kg)
3.06
Carbon (kg), ×0.47
11.22
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 = 106.516.51Computed from the printed form
hand-computed from the Table 4 coefficients
DRC = 2035.635.6Computed from the printed form
hand-computed from the Table 4 coefficients
DRC = 3096.396.3Computed from the printed form
hand-computed from the Table 4 coefficients

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