# Mopane total AGB from D²H (TM3)

Aboveground biomass equation for Colophospermum mopane, Mozambique, from Lisboa et al. 2025. 120 trees, DBH 5–109 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Lisboa et al. 2025 (Table 6, model TM3, p. 10):

> ln(Y) = ln(a) + bln(D2H) + Ɛ TM3 – 2.373 ± 0.162 (– 2.696 to − 2.050) 0.916 ± 0.021 (0.875 to 0.957)

Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#equation

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

```
Aboveground biomass = exp(-2.373 + 0.916 * ln(D^2 * H))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: exp(-2.373 + 0.916 * ln(D^2 * H)), with D in cm, H in m; output in kg.
Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#canonical

## What it covers

- Output: Aboveground biomass, kg
- Taxon: Colophospermum mopane (species), family Fabaceae; broadleaf
- Where: Mabalane (Gaza) and Tambara (Manica) districts, mopane woodland. Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#where
- Biomes: tropical, dryland
- Stand: natural
- Trees measured: 120. Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#n_trees
- DBH range: 5–109 cm. Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#dbh
- Height range: 3.8–21.6 m. Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#height
- R²: 0.9591. Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#r2
- Method: log-linear OLS regression (ln Y = ln a + b ln(D²H)). Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#method
- Verification: read in the original source
- Last checked: 2026-11-01. Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#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

Lisboa, S.N., Macôo, S., Sitoe, A.A. (2025). Allometric equations for estimating above and belowground biomass of Colophospermum mopane in Mozambique. Scientific Reports, 15, 3464.

- DOI: https://doi.org/10.1038/s41598-025-87297-w
- Access: open access
- Copy we read: https://www.nature.com/articles/s41598-025-87297-w.pdf
- Every equation from this source: https://treeallometry.org/sources/lisboa-2025/
- Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#source

## The facts, in the source's words

**Equation** (Table 6, model TM3, p. 10):

> ln(Y) = ln(a) + bln(D2H) + Ɛ TM3 – 2.373 ± 0.162 (– 2.696 to − 2.050) 0.916 ± 0.021 (0.875 to 0.957)

Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#equation

**Trees measured** (Methods, Forest inventory and destructive sampling, p. 3):

> 120 individuals of C. mopane

Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#quote-fit-n-trees

**Largest DBH** (Table 3, row ID 1 (this study), p. 7):

> D range (cm) 5–109

Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#quote-fit-dbh-max-cm

**h max m** (Table 4 (Mabalane and Tambara rows; min and max combined), p. 8):

> Total tree height (m) 4.0 9.3 21.6 52 / 3.8 8.3 14.6 32

Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#quote-fit-h-max-m

**R²** (Table 7, model TM3, p. 10 (printed as a percentage)):

> TM3 ... R-square 95.91

Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#quote-fit-r2

**Our note:** Model 3 (D²H); best by Akaike weight among the three total AGB models per the authors. Total aboveground biomass is the sum of stem, branches (min. 3 cm) and foliage, so leaves are included. The printed intercept is ln(a); no back-transformation correction factor is stated in the paper and none is applied. n = 120 sampled trees (Methods p. 3, Table 3), but Table 5 heads the total-AGB column 'n = 84', so the fitted n may be 84.

## 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, H = 9 | 169 | 169 | Computed from the printed form: computed from the published form |

Cite: https://treeallometry.org/equations/lisboa-2025-tm3-d2h/#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: Lisboa, S.N., Macôo, S., Sitoe, A.A. (2025). Allometric equations for estimating above and belowground biomass of Colophospermum mopane in Mozambique. Scientific Reports, 15, 3464. https://doi.org/10.1038/s41598-025-87297-w

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Mopane total AGB from D²H (TM3)", checked 2026-11-01, https://treeallometry.org/equations/lisboa-2025-tm3-d2h/. 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/lisboa-2025-tm3-d2h.json
Report a problem: email info@restorationscope.com with the equation id (lisboa-2025-tm3-d2h) and where the right value appears.