# Pinus patula Total biomass (roots, stem, branches, foliage) from D and H (Table 3)

Total biomass equation for Pinus patula, Mexico, from Martínez-Domínguez et al. 2020. 25 trees, DBH 3.5–25.7 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Martínez-Domínguez et al. 2020 (Section 3.1 (Model 1, Table 1)):

> y = e(−β0 + β1 ln (D × TH))

Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#equation

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

```
Total biomass = exp(-4.7483 + 1.7395 * ln(D * H))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: exp(-4.7483 + 1.7395 * ln(D * TH)), with D in cm, TH in m; output in kg.
Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#canonical

## What it covers

- Output: Total biomass, kg
- Taxon: Pinus patula (species), family Pinaceae; conifer
- Where: Ixtlán de Juárez, Sierra Norte, Oaxaca (pine-oak forest). Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#where
- Biomes: temperate, montane
- Stand: natural
- Trees measured: 25. Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#n_trees
- DBH range: 3.5–25.7 cm. Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#dbh
- Height range: 4.32–20.18 m. Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#height
- R²: 0.9886. Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#r2
- Method: nonlinear regression (SAS PROC MODEL), exponential form. Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#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

Martínez-Domínguez, A., Ruiz-Aquino, F., Santiago-García, W., et al. (2020). Allometric equations to estimate aboveground and belowground biomass of Pinus patula Schiede ex Schltdl. & Cham. Forest Science and Technology, 16(3), 161-170.

- DOI: https://doi.org/10.1080/21580103.2020.1801526
- Access: open access
- Copy we read: https://www.tandfonline.com/doi/full/10.1080/21580103.2020.1801526
- Every equation from this source: https://treeallometry.org/sources/martinez-dominguez-2020/
- Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#source

## The facts, in the source's words

**Equation** (Section 3.1 (Model 1, Table 1)):

> y = e(−β0 + β1 ln (D × TH))

Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#equation

**Equation** (Table 3, model (1) (CSV table download; p. 164 of the PDF)):

> β0 4.7483, β1 1.7395, R2 0.9886

Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#quote-expression

**Trees measured** (Abstract):

> a destructive analysis was made of 25 trees distributed in five diameter classes

Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#quote-fit-n-trees

**Smallest DBH** (Section 3.1):

> diameter at breast height (D) that varied from 3.5 cm to 25.7 cm, with a total height (TH) fluctuating from 4.32 m to 20.18 m

Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#quote-fit-dbh-min-cm

**Our note:** Printed form y = e^(−β0 + β1 ln(D × TH)); the tabulated β0 is positive and enters with a minus sign, as printed. Units are D in cm, TH in m, biomass in kg dry weight (Figure 3). No correction factor stated. Parameters read from the journal table CSV downloads. The paper also fits an additive simultaneous system (Table 6) with slightly different parameters; not added. The foliage model (Table 4: ϖ0 8.1986, ϖ1 1.6628, R2 0.9762) is not added here; the printed additive formula in Section 3.3 shows the foliage intercept without the minus sign, but Figure 3(d) (p. 166) prints the fitted foliage curve as y = e^(−8.198579+(1.66277 ln(D x TH))), n=25, so the sign is a typesetting slip and the model could be added as exp(−8.1986 + 1.6628 ln(D × TH)). Authors recommend use for 5 to 25 cm DBH. Total includes roots, stem, branches and foliage.

## 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 = 8, H = 7 | 9.52 | 9.52 | Computed from the printed form: computed from the published form |
| D = 13, H = 12 | 56.6 | 56.6 | Computed from the printed form: computed from the published form |
| D = 22, H = 18 | 286 | 286 | Computed from the printed form: computed from the published form |

Cite: https://treeallometry.org/equations/martinez-dominguez-2020-total/#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: Martínez-Domínguez, A., Ruiz-Aquino, F., Santiago-García, W., et al. (2020). Allometric equations to estimate aboveground and belowground biomass of Pinus patula Schiede ex Schltdl. & Cham. Forest Science and Technology, 16(3), 161-170. https://doi.org/10.1080/21580103.2020.1801526

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Pinus patula Total biomass (roots, stem, branches, foliage) from D and H (Table 3)", checked 2026-11-02, https://treeallometry.org/equations/martinez-dominguez-2020-total/. 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/martinez-dominguez-2020-total.json
Report a problem: email info@restorationscope.com with the equation id (martinez-dominguez-2020-total) and where the right value appears.