Equations / Root biomass
Dahurian larch root biomass from D and H (MS-3) (Table 6)
Root biomassLarix gmelinii · PinaceaeChinanaturalRead from the original paper
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Equation
As printed (Table 6 (MS-3), Dahurian larch, root row; model form Eq. (14) structure)
Wr = e^β10 · D^β11 · H^β12; Dahurian larch | Root | -3.6977 | 2.8129 | -0.2671
In this library's units, ready to compute (kg)
Root biomass = exp(-3.6977 + 2.8129 * ln(D) - 0.2671 * ln(H))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Dahurian larch, additive system MS-3 (Table 6); W = exp(b0) * D^b1 * H^b2 (Eqs. 17 form per Table caption). Ranges and n from Table 2. The b0 column is the exponent of e (W = e^b0 ...), as in Eq. (14). Stem includes bark. Root excludes fine roots <5 mm. No R2 recorded (adjusted R2 only).
Source
doi:10.3390/f9050261 · Open access · copy we read
138 Dahurian larch trees and 108 white birch trees were destructively sampled
- Trees measured
- 138
- DBH range
- 1.7–28.4 cm
- Height range
- 2.4–21.9 m
- Method
- seemingly unrelated regression (SUR), additive system, W = exp(b0) D^b1 H^b2
- Where
- Eastern Daxing'an Mountains, Heilongjiang, northeast China
- Last checked
- 2026-11-02
Calculate
Height from
0.796
Root biomass (kg)
0.374
Carbon (kg), ×0.47
1.372
CO₂e (kg), ×44/12
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%.
| Inputs | Expected | We get | From |
|---|---|---|---|
| D = 4, H = 5 | 0.796 | 0.796 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 10, H = 11 | 8.49 | 8.49 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 18, H = 17 | 39.5 | 39.5 | Computed from the printed form computed from the published form (coefficients as printed) |
Related
- Larch (Larix gmelinii) root biomass from D only (System 1, Table 4) · Dong et al. 2016 · DBH
- Larch (Larix gmelinii) root biomass from D and H (System 2, Table 4) · Dong et al. 2016 · DBH + Height
- Dahurian larch root biomass from D, H and crown width, system MS-1 (Table 4) · Dong et al. 2018 · DBH + Height + Crown diameter
- Dahurian larch root biomass from D only (MS-2) (Table 5) · Dong et al. 2018 · DBH
- Dahurian larch root biomass from D, H and crown width, system MS-4 (Table 7) · Dong et al. 2018 · DBH + Height + Crown diameter
- White birch aboveground biomass from D only (MS-2) (sum of components, Table 5) · same paper · Aboveground biomass
- White birch branch biomass from D only (MS-2) (Table 5) · same paper · Branch biomass
- White birch foliage biomass from D only (MS-2) (Table 5) · same paper · Foliage biomass
- White birch root biomass from D only (MS-2) (Table 5) · same paper · Root biomass
- White birch stem biomass from D only (MS-2) (Table 5) · same paper · Stem biomass
- White birch total (above + below ground) biomass from D only (MS-2) (sum of components, Table 5) · same paper · Total biomass
- White birch aboveground biomass from D and H (MS-3) (sum of components, Table 6) · same paper · Aboveground biomass
- White birch branch biomass from D and H (MS-3) (Table 6) · same paper · Branch biomass