Tree Allometrics

Equations / Root biomass

Root system dry biomass from DBH (Table 4, form 4)

Root biomassAndrostachys johnsonii · PicrodendraceaeMozambiquenaturalRead from the original paper
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Equation

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

Root system 1 1/0.00007 × DBH4.3051 0.0405 (±0.0064)*** 2.3402 (±0.0545)***

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

Root biomass = 0.0405 * D^2.3402
D
Diameter at breast height (1.3 m), cm

Recommended by the author as the preferred model when only DBH is available ("models using either DBH or RCD only should be preferred"). Weight function 1/(0.00007 × DBH^4.3051). 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
DBH range 5–32 cm
Smallest DBH · Methods, Data acquisition
Root system 1 99.73 24.6597
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
DBH range
5–32 cm
R²
0.9973
Method
Weighted nonlinear least squares (nls, Gauss-Newton); r2 is the adjusted R² in Table 5; CVr = 24.6597%
Where
Mabote, Funhalouro, Panda, Mandlakaze and Chibuto districts, Inhambane and Gaza provinces
Last checked
2026-11-02
Calculate
5.259
Root biomass (kg)
2.472
Carbon (kg), ×0.47
9.062
CO₂e (kg), ×44/12
Fitted DBH range050100150200250510152025303540DBH (cm)Root biomass (kg)Root 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 = 85.265.26Computed from the printed form
hand-computed from the Table 4 coefficients
D = 1522.922.9Computed from the printed form
hand-computed from the Table 4 coefficients
D = 2575.775.7Computed from the printed form
hand-computed from the Table 4 coefficients

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