# Six Guanajuato oaks pooled, system 1 (D and H): total aboveground biomass (sum of components)

Aboveground biomass equation for Quercus (six species: rugosa, obtusata, sideroxyla, coccolobifolia, laurina, candicans), Mexico, from Cortés-Sánchez et al. 2019. 165 trees, DBH 4.8–48.6 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

Fitted on Quercus rugosa, Quercus obtusata, Quercus sideroxyla, Quercus coccolobifolia, Quercus laurina, Quercus candicans.

## Equation

As printed in Cortés-Sánchez et al. 2019 (Table 4, model 3):

> Bt = ΣBi

Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#equation

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

```
Aboveground biomass = (0.03367 * D^1.853235 * H^0.982072) + (0.027143 * D^3.228496 * H^(-0.82824)) + (0.0059 * D^2.246321)
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: (0.03367 * Dn^1.853235 * At^0.982072) + (0.027143 * Dn^3.228496 * At^(-0.82824)) + (0.0059 * Dn^2.246321), with At in m, Dn in cm; output in kg.
Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#canonical

## What it covers

- Output: Aboveground biomass, kg
- Taxon: Quercus (six species: rugosa, obtusata, sideroxyla, coccolobifolia, laurina, candicans) (genus), family Fagaceae; broadleaf
- Where: Sierra de Santa Rosa, Guanajuato (bosques de encino). Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#where
- Biomes: temperate
- Stand: natural
- Trees measured: 165. Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#n_trees
- DBH range: 4.8–48.6 cm. Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#dbh
- Height range: 3.55–20.6 m. Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#height
- Method: Additive system of component equations fitted simultaneously (iterated seemingly unrelated regression). Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#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

Cortés-Sánchez, B. G., Ángeles-Pérez, G., De los Santos-Posadas, H. M., & Ramírez-Maldonado, H. (2019). Ecuaciones alométricas para estimar biomasa en especies de encino en Guanajuato, México. Madera y Bosques, 25(2), e2521799.

- DOI: https://doi.org/10.21829/myb.2019.2521799
- Access: open access
- Copy we read: https://myb.ojs.inecol.mx/index.php/myb/article/download/e2521799/1958
- Every equation from this source: https://treeallometry.org/sources/cortes-sanchez-2019/
- Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#source

## The facts, in the source's words

**Equation** (Table 4, model 3):

> Bt = ΣBi

Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#equation

**Equation** (Table 4, model 3):

> Bf = 0.03367 × Dn^1.853235 × At^0.982072

Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#quote-expression

**Equation** (Table 4, model 3):

> Br = 0.027143 × Dn^3.228496 × At^–0.82824

Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#quote-expression-2

**Equation** (Table 4, model 1):

> Bh = 0.0059 × Dn^2.246321

Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#quote-expression-3

**Trees measured** (Methods / Table 1):

> Un total de 165 árboles

Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#quote-fit-n-trees

**Our note:** Dn and At are diameter at breast height and total height (At measured after felling, stump height included). Adjusted R2 (not stored): stem 0.9705, branches 0.8913, foliage 0.8086, total 0.9653 (Table 4). Total is the sum of the component equations, as the paper defines it.

## 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 = 17.9, H = 8.7 | 113 | 113 | Computed from the printed form: computed from the published form (Table 4) |
| D = 35.5, H = 15.5 | 672 | 672 | Computed from the printed form: computed from the published form (Table 4) |

Cite: https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/#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: Cortés-Sánchez, B. G., Ángeles-Pérez, G., De los Santos-Posadas, H. M., & Ramírez-Maldonado, H. (2019). Ecuaciones alométricas para estimar biomasa en especies de encino en Guanajuato, México. Madera y Bosques, 25(2), e2521799. https://doi.org/10.21829/myb.2019.2521799

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Six Guanajuato oaks pooled, system 1 (D and H): total aboveground biomass (sum of components)", checked 2026-11-02, https://treeallometry.org/equations/cortes-sanchez-2019-sys1-agb/. 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/cortes-sanchez-2019-sys1-agb.json
Report a problem: email info@restorationscope.com with the equation id (cortes-sanchez-2019-sys1-agb) and where the right value appears.