# Byrsonima gardneriana, total aerial dry biomass from ground-level diameter and height (Table 2)

Aboveground biomass equation for Byrsonima gardneriana, Brazil, from Mendonça et al. 2013. 15 trees. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Mendonça et al. 2013 (Table 2, p. 360):

> MS=-92,8787+(58,8329*H)+(-8,94707*H²)+(1,79877*DH)+(0,522902*DH²)

Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#equation

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

```
Aboveground biomass = -92.8787 + 58.8329 * H - 8.94707 * H^2 + 1.79877 * DRC * H + 0.522902 * DRC * H^2
```

Inputs: H = Total tree height (m); DRC = Root collar / stem base diameter (cm).
The source's own form: -92.8787 + 58.8329 * H - 8.94707 * H^2 + 1.79877 * DAS * H + 0.522902 * DAS * H^2, with DAS in cm, H in m; output in kg.
Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#canonical

## What it covers

- Output: Aboveground biomass, kg
- Taxon: Byrsonima gardneriana (species), family Malpighiaceae; broadleaf
- Where: Casa Nova and Remanso, northern Bahia, lower-middle São Francisco (caatinga arbustivo-arbórea). Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#where
- Biomes: tropical, dryland
- Stand: natural
- Trees measured: 15. Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#n_trees
- R²: 0.962. Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#r2
- Method: regression; model chosen among literature models and Backward/Forward stepwise fits by residual plots, S%, t test and R2. Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#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

Mendonça, A.V.R., Souza, J.S., Giulietti, A.M., Van Den Berg, C. (2013). Estimação de biomassa aérea da caatinga no norte da Bahia. Pesquisa Florestal Brasileira, 33(76), 355-368.

- DOI: https://doi.org/10.4336/2013.pfb.33.76.579
- Access: open access
- Copy we read: http://ainfo.cnptia.embrapa.br/digital/bitstream/item/102670/1/EstimacaoBiomassa.pdf
- Every equation from this source: https://treeallometry.org/sources/mendonca-2013/
- Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#source

## The facts, in the source's words

**Equation** (Table 2, p. 360):

> MS=-92,8787+(58,8329*H)+(-8,94707*H²)+(1,79877*DH)+(0,522902*DH²)

Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#equation

**Trees measured** (Ajuste das equações de regressão, p. 357):

> amostrados 15 indivíduos, sendo três para cada classe de diâmetro, com exceção da espécie Chamaecrista belemii, em que foram amostrados 30 indivíduos

Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#quote-fit-n-trees

**R²** (Table 2, p. 360):

> 96,2 (R²)

Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#quote-fit-r2

**Our note:** Table 2 prints R2 as a percentage. D is diameter at ground level (DAS, 'diâmetro ao nível do solo', cm), mapped to DRC; H is total height in m; MS is dry mass in kg (Table 2 footnote). 'DH' and 'DH2' are read as D*H and D*H^2, and 'D2H' as D^2*H (variables listed on p. 358 as DAS*H, DAS*H2, DAS2*H). Total aerial dry biomass (leaves, branches, trunk). Diameter range of the sampled trees printed as 2,5 a 18 cm (ground-level diameter, so not entered as a DBH range): use inside that range. Equations were also fitted by diameter class for all species pooled (Table 3); those are not included here.

## 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 |
| --- | --- | --- | --- |
| DRC = 4, H = 3 | 43.5 | 43.5 | Computed from the printed form: hand-computed from the published form (coefficients as printed) |
| DRC = 8, H = 4 | 124 | 124 | Computed from the printed form: hand-computed from the published form (coefficients as printed) |
| DRC = 14, H = 6 | 353 | 353 | Computed from the printed form: hand-computed from the published form (coefficients as printed) |

Cite: https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/#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: Mendonça, A.V.R., Souza, J.S., Giulietti, A.M., Van Den Berg, C. (2013). Estimação de biomassa aérea da caatinga no norte da Bahia. Pesquisa Florestal Brasileira, 33(76), 355-368. https://doi.org/10.4336/2013.pfb.33.76.579

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Byrsonima gardneriana, total aerial dry biomass from ground-level diameter and height (Table 2)", checked 2026-11-02, https://treeallometry.org/equations/mendonca-2013-byrsonima-gardneriana/. 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/mendonca-2013-byrsonima-gardneriana.json
Report a problem: email info@restorationscope.com with the equation id (mendonca-2013-byrsonima-gardneriana) and where the right value appears.