Equations / Branch biomass
Piscidia piscipula, additive system S1 (D and H, Eq. 3-6): branch biomass
Branch biomassPiscidia piscipula (L.) Sarg. · FabaceaeMexiconaturalRead from the original paper
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Equation
As printed (Eq. 4, Table 2 (S1))
Br = e^[−β20+β21 ln(Dn)+β22 ln(AT)] + ε2 (4); Table 2, S1 Ramas: β20 3.90699, β21 2.239099, β22 0.486697
In this library's units, ready to compute (kg)
Branch biomass = exp(-3.90699 + 2.239099 * ln(D) + 0.486697 * ln(H))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
The paper prints the intercept as a positive estimate and the model with a minus sign in front of it (e^[−β0 + ...]); applied that way. Adjusted R2 (not stored): stem 0.9911, branches 0.9789, twigs with leaves 0.8957, total 0.9919 (Table 3). Dn and AT are the paper's diameter at breast height and total height.
Source
doi:10.21829/myb.2022.2832356 · Open access · copy we read
destructivo de 17 individuos
- Trees measured
- 17
- DBH range
- 5.7–55 cm
- Height range
- 8.12–21 m
- Method
- Additive nonlinear system of component equations fitted simultaneously by generalized method of moments (GMM)
- Where
- Escárcega, Campeche (selva mediana subperennifolia)
- Last checked
- 2026-11-02
Calculate
Height from
58.29
Branch biomass (kg)
27.4
Carbon (kg), ×0.47
100.5
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 = 20.5, H = 12 | 58.3 | 58.3 | Computed from the printed form computed from the published form (Table 2 coefficients, intercept with the printed minus sign) |
| D = 40.2, H = 17.1 | 312.8 | 312.8 | Computed from the printed form computed from the published form (Table 2 coefficients, intercept with the printed minus sign) |
Related
- Piscidia piscipula, additive system S2 (D²H, Eq. 7-10): branch biomass · Cuevas Cruz et al. 2022 · DBH + Height
- Piscidia piscipula, additive system S1 (D and H, Eq. 3-6): total aboveground biomass (sum of components) · same paper · Aboveground biomass
- Piscidia piscipula, additive system S1 (D and H, Eq. 3-6): foliage (twigs with leaves) biomass · same paper · Foliage biomass
- Piscidia piscipula, additive system S1 (D and H, Eq. 3-6): stem biomass · same paper · Stem biomass
- Piscidia piscipula, additive system S2 (D²H, Eq. 7-10): total aboveground biomass (sum of components) · same paper · Aboveground biomass
- Piscidia piscipula, additive system S2 (D²H, Eq. 7-10): branch biomass · same paper · Branch biomass
- Piscidia piscipula, additive system S2 (D²H, Eq. 7-10): foliage (twigs with leaves) biomass · same paper · Foliage biomass
- Piscidia piscipula, additive system S2 (D²H, Eq. 7-10): stem biomass · same paper · Stem biomass