# Pinus douglasiana and Pinus michoacana total aboveground biomass

Aboveground biomass equation for Pinus douglasiana and Pinus michoacana (data combined), Mexico, from Vargas-Larreta et al. 2017. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Vargas-Larreta et al. 2017 (Table 2, p. 12):

> Wt = ΣWi

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#equation

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

```
Aboveground biomass = (0.11997 * D^2.34448) + (0.03126 * D^1.978201) + (0.014982 * D^2.40887) + (0.01168 * D^2.148631)
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: (0.11997 * d^2.34448) + (0.03126 * d^1.978201) + (0.014982 * d^2.40887) + (0.01168 * d^2.148631), with d in cm; output in kg.
Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#canonical

## What it covers

- Output: Aboveground biomass, kg
- Taxon: Pinus douglasiana and Pinus michoacana (data combined) (mixed species), family Pinaceae; conifer
- Where: Durango, Sierra Madre Occidental. Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#where
- Biomes: temperate, montane
- Stand: natural
- R²: 0.91. Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#r2
- Method: Power-law component equations fitted simultaneously by generalized method of moments (additive system). Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-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

Vargas-Larreta, B., López-Sánchez, C.A., Corral-Rivas, J.J., et al. (2017). Allometric Equations for Estimating Biomass and Carbon Stocks in the Temperate Forests of North-Western Mexico. Forests, 8(8), 269.

- DOI: https://doi.org/10.3390/f8080269
- Access: open access
- Copy we read: https://www.mdpi.com/1999-4907/8/8/269
- Every equation from this source: https://treeallometry.org/sources/vargas-larreta-2017/
- Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#source

## The facts, in the source's words

**Equation** (Table 2, p. 12):

> Wt = ΣWi

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#equation

**Equation** (Table 2, p. 12):

> 0.11997d2.34448

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#quote-expression

**Equation** (Table 2, p. 12):

> 0.03126d1.978201

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#quote-expression-2

**Equation** (Table 2, p. 12):

> 0.014982d2.40887

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#quote-expression-3

**Equation** (Table 2, p. 12):

> 0.01168d2.148631

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#quote-expression-4

**Output** (Section 2.3.1):

> Wt is the total tree AGB (i.e., the sum of all the tree biomass components)

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#quote-output

**R²** (Table 2, p. 12):

> R2 0.91 (cross-validation)

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-agb/#quote-fit-r2

**Our note:** Equation as printed in the Table 2 system for this taxon; d is DBH in cm, h total height in m, output in kg dry mass. R² is the 10-fold cross-validation value. Total AGB is printed as Wt = sum of the four components (stem wood, stem bark, branches, foliage); the expression is that sum of the four printed equations. Data of the two species were combined by the authors; fit ranges not printed for the combined set.

## 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 = 20 | 174.1 | 174.1 | Computed from the printed form: computed from the Table 2 equations (sum of the four components) |
| D = 35 | 638.4 | 638.4 | Computed from the printed form: computed from the Table 2 equations (sum of the four components) |

Cite: https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-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: Vargas-Larreta, B., López-Sánchez, C.A., Corral-Rivas, J.J., et al. (2017). Allometric Equations for Estimating Biomass and Carbon Stocks in the Temperate Forests of North-Western Mexico. Forests, 8(8), 269. https://doi.org/10.3390/f8080269

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Pinus douglasiana and Pinus michoacana total aboveground biomass", checked 2026-11-02, https://treeallometry.org/equations/vargas-larreta-2017-p-douglasiana-michoacana-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/vargas-larreta-2017-p-douglasiana-michoacana-agb.json
Report a problem: email info@restorationscope.com with the equation id (vargas-larreta-2017-p-douglasiana-michoacana-agb) and where the right value appears.
