# Oak aboveground biomass from D, additive system 1 (Table 4)

Aboveground biomass equation for Quercus (Q. mongolica and Q. wutaishanica), China, from Meng et al. 2021. 159 trees, DBH 1.5–33 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

Fitted on Quercus mongolica, Quercus wutaishanica.

## Equation

As printed in Meng et al. 2021 (Table 4, System 1):

> Aboveground Wag = 0.050D2.473 + 0.022D2.249 + 0.011D2.772 + 0.019D1.964

Cite: https://treeallometry.org/equations/meng-2021-agb-d/#equation

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

```
Aboveground biomass = 0.050 * D^2.473 + 0.022 * D^2.249 + 0.011 * D^2.772 + 0.019 * D^1.964
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: 0.050 * D^2.473 + 0.022 * D^2.249 + 0.011 * D^2.772 + 0.019 * D^1.964, with D in cm; output in kg.
Cite: https://treeallometry.org/equations/meng-2021-agb-d/#canonical

## What it covers

- Output: Aboveground biomass, kg
- Taxon: Quercus (Q. mongolica and Q. wutaishanica) (genus), family Fagaceae; broadleaf
- Where: Daxing'anling, Xiaoxing'anling and Changbai mountains, NE China. Cite: https://treeallometry.org/equations/meng-2021-agb-d/#where
- Biomes: temperate, boreal, montane
- Stand: natural
- Trees measured: 159. Cite: https://treeallometry.org/equations/meng-2021-agb-d/#n_trees
- DBH range: 1.5–33 cm. Cite: https://treeallometry.org/equations/meng-2021-agb-d/#dbh
- Height range: 1.4–20.5 m. Cite: https://treeallometry.org/equations/meng-2021-agb-d/#height
- Method: weighted nonlinear seemingly unrelated regression (NSUR), additive system. Cite: https://treeallometry.org/equations/meng-2021-agb-d/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/meng-2021-agb-d/#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

Meng, S., Yang, F., Hu, S., et al. (2021). Generic Additive Allometric Models and Biomass Allocation for Two Natural Oak Species in Northeastern China. Forests, 12(6), 715.

- DOI: https://doi.org/10.3390/f12060715
- Access: open access
- Copy we read: https://www.mdpi.com/1999-4907/12/6/715/htm
- Every equation from this source: https://treeallometry.org/sources/meng-2021/
- Cite: https://treeallometry.org/equations/meng-2021-agb-d/#source

## The facts, in the source's words

**Equation** (Table 4, System 1):

> Aboveground Wag = 0.050D2.473 + 0.022D2.249 + 0.011D2.772 + 0.019D1.964

Cite: https://treeallometry.org/equations/meng-2021-agb-d/#equation

**Trees measured** (Abstract):

> A total of 159 sample trees consisting of 120 Mongolian oak and 39 Liaodong oak

Cite: https://treeallometry.org/equations/meng-2021-agb-d/#quote-fit-n-trees

**Our note:** Fitted on 120 Mongolian oak and 39 Liaodong oak trees (Table 1; D 1.5-33.0 cm). Exponents are printed flattened in the HTML text; read as D^exponent. No R2 recorded (adjusted R2 only). Sum of wood (inside bark), bark, branch 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 = 5, H = 4 | 4.9 | 4.9 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 15, H = 9 | 74.1 | 74.1 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 28, H = 16 | 355 | 355 | Computed from the printed form: computed from the published form (coefficients as printed) |

Cite: https://treeallometry.org/equations/meng-2021-agb-d/#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: Meng, S., Yang, F., Hu, S., et al. (2021). Generic Additive Allometric Models and Biomass Allocation for Two Natural Oak Species in Northeastern China. Forests, 12(6), 715. https://doi.org/10.3390/f12060715

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Oak aboveground biomass from D, additive system 1 (Table 4)", checked 2026-11-02, https://treeallometry.org/equations/meng-2021-agb-d/. 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/meng-2021-agb-d.json
Report a problem: email info@restorationscope.com with the equation id (meng-2021-agb-d) and where the right value appears.