Equations / Root biomass
Larch (Larix gmelinii) root biomass from D and H (System 2, Table 4)
Root biomassLarix gmelinii · PinaceaeChinaplantationRead from the original paper
No openly licensed photo yet
Equation
As printed (Eqs. (2) and Table 4)
lnWr = a* + b* × lnD + c* × lnH; Table 4, Larch, System 2 (D and H): Root | -5.4519 | 2.6643 | 0.3755
In this library's units, ready to compute (kg)
Root biomass = exp(-5.4519 + 2.6643 * ln(D) + 0.3755 * ln(H))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Larch (Larix gmelinii) plantations, System 2 (D and H) of Table 4: ln W = a* + b* ln D + c* ln H, natural logarithm, coefficients as printed (a*, b*, c*). No correction factor is stated in the paper, none applied. n and D/H ranges from Table 2 (sample statistics of the fitted trees). Stem includes bark; roots exclude fine roots <5 mm. No R2 recorded (adjusted R2 only).
Source
doi:10.3390/f7070136 · Open access · copy we read
a total of 114 Korean pine trees, 90 larch trees, and 85 Mongolian pine trees were destructively sampled
- Trees measured
- 90
- DBH range
- 7.6–35.7 cm
- Height range
- 8.3–27 m
- Method
- seemingly unrelated regression (SUR) on log-transformed additive system, ln W = a + b ln D + c ln H
- Where
- Pure plantations, northeast China
- Last checked
- 2026-11-02
Calculate
Height from
5.587
Root biomass (kg)
2.626
Carbon (kg), ×0.47
9.628
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 = 10.4, H = 12 | 5.59 | 5.59 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 18.8, H = 17.6 | 31.2 | 31.2 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 30.1, H = 23.3 | 121.6 | 121.6 | 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
- 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 and H (MS-3) (Table 6) · Dong et al. 2018 · DBH + Height
- Dahurian larch root biomass from D, H and crown width, system MS-4 (Table 7) · Dong et al. 2018 · DBH + Height + Crown diameter
- Korean pine aboveground biomass from D only (sum of components, System 1) · same paper · Aboveground biomass
- Korean pine branch biomass from D only (System 1, Table 4) · same paper · Branch biomass
- Korean pine foliage biomass from D only (System 1, Table 4) · same paper · Foliage biomass
- Korean pine root biomass from D only (System 1, Table 4) · same paper · Root biomass
- Korean pine stem biomass from D only (System 1, Table 4) · same paper · Stem biomass
- Korean pine total (above + below ground) biomass from D only (sum of components, System 1) · same paper · Total biomass
- Korean pine aboveground biomass from D and H (sum of components, System 2) · same paper · Aboveground biomass
- Korean pine branch biomass from D and H (System 2, Table 4) · same paper · Branch biomass