Equations / Aboveground biomass
Pinus cembroides, additive system S2 (D and H): total aboveground biomass (sum of components)
As printed (Fig. 2d, Eq. 10)
In this library's units, ready to compute (kg)
Aboveground biomass = (exp(-2.007449) * D^1.776093 * H^0.364976) + (exp(-5.193296) * D^2.36942 * H^1.11539) + (exp(-2.07281) * D^2.463058 * H^(-1.17492))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
System S2 (Eq. 7-10, B = exp[β0] × Dn^β1 × H^β2) fitted by GMM. Table 1 labels the H exponents β13, β23, β33 (read as β12, β22, β32). Table 1 prints the twig-and-leaf intercept β30 as 2.07281 (no minus) while Fig. 2c prints exp(−2.0728); the negative sign is used because the positive one gives hundreds of times the observed biomass. Adjusted R2 (not stored): stem 0.9704, branches 0.9476, twigs with leaves 0.9294, total 0.9802. Total is the sum of the component equations, as the paper defines it.
doi:10.21829/myb.2020.2611821 · Open access · copy we read
Bf = exp(−2.0074) × Dn^1.7761 × H^0.3650; Table 1, S2 Fuste: β10 −2.007449, β11 1.776093, β13 0.364976
Br = exp(−5.1933) × Dn^2.3694 × H^1.1154; Table 1, S2 Ramas: β20 −5.193296, β21 2.36942, β23 1.11539
Brh = exp(−2.0728) × Dn^2.4631 × H^−1.1749; Table 1, S2 Ramillas con hojas: β30 2.07281, β31 2.463058, β33 −1.17492
un total de 21 árboles
- Trees measured
- 21
- DBH range
- 3–40 cm
- Height range
- 1.2–9.4 m
- Method
- Additive nonlinear system of component equations fitted simultaneously by generalized method of moments (GMM)
- Where
- Sombrerete, Cadereyta de Montes, Querétaro (bosque de pino, 2600 m)
- Last checked
- 2026-11-02
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
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 = 14.1, H = 3.7 | 54.7 | 54.7 | Computed from the printed form computed from the published form (Fig. 2 and Table 1 coefficients) |
| D = 28.9, H = 6.9 | 297.1 | 297.1 | Computed from the printed form computed from the published form (Fig. 2 and Table 1 coefficients) |
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