# Pinus cembroides, additive system S2 (D and H): foliage (twigs with leaves) biomass

Foliage biomass equation for Pinus cembroides Zucc., Mexico, from Cuevas Cruz & Aquino Ramírez 2020. 21 trees, DBH 3–40 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Cuevas Cruz & Aquino Ramírez 2020 (Fig. 2c, Table 1 (S2)):

> 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

Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#equation

In this library's units, ready to compute (foliage biomass in kg):

```
Foliage biomass = exp(-2.07281) * D^2.463058 * H^(-1.17492)
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: exp(-2.07281) * Dn^2.463058 * H^(-1.17492), with H in m, Dn in cm; output in kg.
Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#canonical

## What it covers

- Output: Foliage biomass, kg
- Taxon: Pinus cembroides Zucc. (species), family Pinaceae; conifer
- Where: Sombrerete, Cadereyta de Montes, Querétaro (bosque de pino, 2600 m). Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#where
- Biomes: dryland
- Stand: natural
- Trees measured: 21. Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#n_trees
- DBH range: 3–40 cm. Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#dbh
- Height range: 1.2–9.4 m. Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#height
- Method: Additive nonlinear system of component equations fitted simultaneously by generalized method of moments (GMM). Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#checked_at

A missing fit statistic is one the source doesn't state, or that we haven't recorded; it is never estimated. Outside the stated DBH range or region, the equation is an extrapolation.

## Source

Cuevas Cruz, J. C., & Aquino Ramírez, M. (2020). Ecuaciones de aditividad para la estimación de biomasa aérea de Pinus cembroides Zucc. Madera y Bosques, 26(1), e2611821.

- DOI: https://doi.org/10.21829/myb.2020.2611821
- Access: open access
- Copy we read: https://myb.ojs.inecol.mx/index.php/myb/article/download/e2611821/2042
- Every equation from this source: https://treeallometry.org/sources/cuevas-2020/
- Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#source

## The facts, in the source's words

**Equation** (Fig. 2c, Table 1 (S2)):

> 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

Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#equation

**Trees measured** (Resumen / Resultados):

> un total de 21 árboles

Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#quote-fit-n-trees

**Our note:** 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.

## Checks this equation passes

On every build, the library's form and the source's own form (in its units) must both give these values within 1%.

| Inputs | Expected | We get | From |
| --- | --- | --- | --- |
| D = 14.1, H = 3.7 | 18.3 | 18.3 | Computed from the printed form: computed from the published form (Fig. 2 and Table 1 coefficients) |
| D = 28.9, H = 6.9 | 51.6 | 51.6 | Computed from the printed form: computed from the published form (Fig. 2 and Table 1 coefficients) |

Cite: https://treeallometry.org/equations/cuevas-2020-s2-foliage/#checks

The calculator on the page shows carbon as biomass × 0.47 (IPCC 2006 Guidelines, Vol. 4, Ch. 4, Table 4.3) and CO₂e as carbon × 44/12.

## How to cite

Cite the source for the equation: Cuevas Cruz, J. C., & Aquino Ramírez, M. (2020). Ecuaciones de aditividad para la estimación de biomasa aérea de Pinus cembroides Zucc. Madera y Bosques, 26(1), e2611821. https://doi.org/10.21829/myb.2020.2611821

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Pinus cembroides, additive system S2 (D and H): foliage (twigs with leaves) biomass", checked 2026-11-02, https://treeallometry.org/equations/cuevas-2020-s2-foliage/. Data CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Quotes are the authors' words.

Data for this equation: https://treeallometry.org/data/equations/cuevas-2020-s2-foliage.json
Report a problem: email info@restorationscope.com with the equation id (cuevas-2020-s2-foliage) and where the right value appears.