# White birch foliage biomass from D and H (MS-3) (Table 6)

Foliage biomass equation for Betula platyphylla, China, from Dong et al. 2018. 108 trees, DBH 1.4–20.5 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Dong et al. 2018 (Table 6 (MS-3), White birch, foliage row; model form Eq. (14) structure):

> Wf = e^β40 · D^β41 · H^β42; White birch | Foliage | -3.9626 | 3.097 | -1.2009

Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#equation

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

```
Foliage biomass = exp(-3.9626 + 3.097 * ln(D) - 1.2009 * ln(H))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: exp(-3.9626) * D^3.097 * H^(-1.2009), with D in cm, H in m; output in kg.
Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#canonical

## What it covers

- Output: Foliage biomass, kg
- Taxon: Betula platyphylla (species), family Betulaceae; broadleaf
- Where: Eastern Daxing'an Mountains, Heilongjiang, northeast China. Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#where
- Biomes: boreal, montane
- Stand: natural
- Trees measured: 108. Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#n_trees
- DBH range: 1.4–20.5 cm. Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#dbh
- Height range: 3.1–21 m. Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#height
- Method: seemingly unrelated regression (SUR), additive system, W = exp(b0) D^b1 H^b2. Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#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

Dong, L., Zhang, L., & Li, F. (2018). Additive Biomass Equations Based on Different Dendrometric Variables for Two Dominant Species (Larix gmelini Rupr. and Betula platyphylla Suk.) in Natural Forests in the Eastern Daxing'an Mountains, Northeast China. Forests, 9(5), 261.

- DOI: https://doi.org/10.3390/f9050261
- Access: open access
- Copy we read: https://www.mdpi.com/1999-4907/9/5/261/htm
- Every equation from this source: https://treeallometry.org/sources/dong-2018/
- Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#source

## The facts, in the source's words

**Equation** (Table 6 (MS-3), White birch, foliage row; model form Eq. (14) structure):

> Wf = e^β40 · D^β41 · H^β42; White birch | Foliage | -3.9626 | 3.097 | -1.2009

Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#equation

**Trees measured** (Section 2.2):

> 138 Dahurian larch trees and 108 white birch trees were destructively sampled

Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#quote-fit-n-trees

**Our note:** White birch, additive system MS-3 (Table 6); W = exp(b0) * D^b1 * H^b2 (Eqs. 17 form per Table caption). Ranges and n from Table 2. The b0 column is the exponent of e (W = e^b0 ...), as in Eq. (14). Stem includes bark. Root excludes fine roots <5 mm. No R2 recorded (adjusted R2 only).

## 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 = 4, H = 5 | 0.202 | 0.201 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 10, H = 11 | 1.33 | 1.33 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 18, H = 17 | 4.89 | 4.89 | Computed from the printed form: computed from the published form (coefficients as printed) |

Cite: https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/#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: Dong, L., Zhang, L., & Li, F. (2018). Additive Biomass Equations Based on Different Dendrometric Variables for Two Dominant Species (Larix gmelini Rupr. and Betula platyphylla Suk.) in Natural Forests in the Eastern Daxing'an Mountains, Northeast China. Forests, 9(5), 261. https://doi.org/10.3390/f9050261

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "White birch foliage biomass from D and H (MS-3) (Table 6)", checked 2026-11-02, https://treeallometry.org/equations/dong-2018-birch-ms3-foliage/. 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/dong-2018-birch-ms3-foliage.json
Report a problem: email info@restorationscope.com with the equation id (dong-2018-birch-ms3-foliage) and where the right value appears.