# Dahurian larch root biomass from D, H and crown width, system MS-4 (Table 7)

Root biomass equation for Larix gmelinii, China, from Dong et al. 2018. 138 trees, DBH 1.7–28.4 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 7, Dahurian larch, root row; model form Eq. (18)):

> Wr = e^β10 · D^β11 · H^β12 · CW^β13; Dahurian larch | Root | -3.3151 | 2.4283 | -0.0932 | 0.4675

Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#equation

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

```
Root biomass = exp(-3.3151 + 2.4283 * ln(D) - 0.0932 * ln(H) + 0.4675 * ln(CD))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m); CD = Crown diameter (m).
The source's own form: exp(-3.3151) * D^2.4283 * H^(-0.0932) * CW^0.4675, with D in cm, H in m, CW in m; output in kg.
Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#canonical

## What it covers

- Output: Root biomass, kg
- Taxon: Larix gmelinii (species), family Pinaceae; conifer
- Where: Eastern Daxing'an Mountains, Heilongjiang, northeast China. Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#where
- Biomes: boreal, montane
- Stand: natural
- Trees measured: 138. Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#n_trees
- DBH range: 1.7–28.4 cm. Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#dbh
- Height range: 2.4–21.9 m. Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#height
- Method: seemingly unrelated regression (SUR), additive system, W = exp(b0) D^b1 H^b2 CW^b3. Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#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-larch-ms4-root-dhcw/#source

## The facts, in the source's words

**Equation** (Table 7, Dahurian larch, root row; model form Eq. (18)):

> Wr = e^β10 · D^β11 · H^β12 · CW^β13; Dahurian larch | Root | -3.3151 | 2.4283 | -0.0932 | 0.4675

Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#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-larch-ms4-root-dhcw/#quote-fit-n-trees

**Our note:** Dahurian larch, MS-4 (Table 7): W = exp(b0) * D^b1 * H^b2 * CW^b3 where CW is crown width (m), mapped to canonical CD. Crown width range 0.3-2.9 m (Table 2). Stem includes bark; roots exclude 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, CD = 0.6 | 0.714 | 0.714 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 10, H = 11, CD = 1.2 | 8.48 | 8.48 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 20, H = 17, CD = 2.2 | 58.2 | 58.2 | Computed from the printed form: computed from the published form (coefficients as printed) |

Cite: https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/#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), "Dahurian larch root biomass from D, H and crown width, system MS-4 (Table 7)", checked 2026-11-02, https://treeallometry.org/equations/dong-2018-larch-ms4-root-dhcw/. 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-larch-ms4-root-dhcw.json
Report a problem: email info@restorationscope.com with the equation id (dong-2018-larch-ms4-root-dhcw) and where the right value appears.