# Tanzania All Tanzania Mainland forest types (regional model), height from D (base model, Table 4)

Height equation for Mixed tree species, All Tanzania Mainland forest types (regional model), from Mugasha et al. 2019. 31,782 trees, DBH 1–149.9 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Mugasha et al. 2019 (Table 4, Reginal (sic) row):

> 1.3 + 30.2116 × (1 − exp(−0.0379 × D0.7451))

Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#equation

In this library's units, ready to compute (height in m):

```
Height = 1.3 + 30.2116 * (1 - exp(-0.0379 * D^0.7451))
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: 1.3 + 30.2116 * (1 - exp(-0.0379 * DBH^0.7451)), with DBH in cm; output in m.
Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#canonical

## What it covers

- Output: Height, m
- Taxon: Mixed tree species, All Tanzania Mainland forest types (regional model) (mixed species); mixed
- Where: Tanzania Mainland, NAFORMA inventory (All Tanzania Mainland forest types (regional model)). Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#where
- Biomes: tropical
- Stand: mixed
- Trees measured: 31,782. Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#n_trees
- DBH range: 1–149.9 cm. Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#dbh
- Height range: 1.3–45 m. Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#height
- Method: nonlinear mixed-effects regression (random effect on cluster), Weibull form. Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#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

Mugasha, W.A., Mauya, E.W., Njana, A.M., et al. (2019). Height-Diameter Allometry for Tree Species in Tanzania Mainland. International Journal of Forestry Research, 2019, 4832849.

- DOI: https://doi.org/10.1155/2019/4832849
- Access: open access
- Copy we read: https://onlinelibrary.wiley.com/doi/10.1155/2019/4832849
- Every equation from this source: https://treeallometry.org/sources/mugasha-2019/
- Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#source

## The facts, in the source's words

**Equation** (Table 4, Reginal (sic) row):

> 1.3 + 30.2116 × (1 − exp(−0.0379 × D0.7451))

Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#equation

**Trees measured** (Table 1, H, All column):

> Number of trees 31782

Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#quote-fit-n-trees

**Our note:** Base model (D only) fitted on NAFORMA data. n_trees and ranges are the Table 1 descriptive statistics for this forest type (the data the model was fitted on). Generalized models with basal area/climate are not captured. Exponent printed flattened in the HTML text (D followed by the exponent); read as D^exponent. Table 4 labels the row Reginal (sic).

## 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 = 5 | 4.87 | 4.87 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 20 | 10.3 | 10.3 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 50 | 16.5 | 16.5 | Computed from the printed form: computed from the published form (coefficients as printed) |

Cite: https://treeallometry.org/equations/mugasha-2019-h-regional/#checks

## How to cite

Cite the source for the equation: Mugasha, W.A., Mauya, E.W., Njana, A.M., et al. (2019). Height-Diameter Allometry for Tree Species in Tanzania Mainland. International Journal of Forestry Research, 2019, 4832849. https://doi.org/10.1155/2019/4832849

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Tanzania All Tanzania Mainland forest types (regional model), height from D (base model, Table 4)", checked 2026-11-02, https://treeallometry.org/equations/mugasha-2019-h-regional/. 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/mugasha-2019-h-regional.json
Report a problem: email info@restorationscope.com with the equation id (mugasha-2019-h-regional) and where the right value appears.