# Larch (Larix gmelinii) total (above + below ground) biomass from D only (sum of components, System 1)

Total biomass equation for Larix gmelinii, China, from Dong et al. 2016. 90 trees, DBH 7.6–35.7 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. 2016 (Eq. (1), additivity constraints):

> lnWa = ln(Ws + Wb + Wf) + εa; lnWt = ln(Wr + Ws + Wb + Wf) + εt

Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#equation

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

```
Total biomass = exp(-5.351 + 2.9914 * ln(D)) + exp(-3.7797 + 2.8778 * ln(D)) + exp(-3.7266 + 2.1147 * ln(D)) + exp(-2.3186 + 1.2549 * ln(D))
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: exp(-5.351 + 2.9914 * ln(D)) + exp(-3.7797 + 2.8778 * ln(D)) + exp(-3.7266 + 2.1147 * ln(D)) + exp(-2.3186 + 1.2549 * ln(D)), with D in cm; output in kg.
Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#canonical

## What it covers

- Output: Total biomass, kg
- Taxon: Larix gmelinii (species), family Pinaceae; conifer
- Where: Pure plantations, northeast China. Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#where
- Biomes: temperate
- Stand: plantation
- Trees measured: 90. Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#n_trees
- DBH range: 7.6–35.7 cm. Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#dbh
- Height range: 8.3–27 m. Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#height
- Method: seemingly unrelated regression (SUR) on log-transformed additive system, ln W = a + b ln D. Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#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. (2016). Developing Two Additive Biomass Equations for Three Coniferous Plantation Species in Northeast China. Forests, 7(7), 136.

- DOI: https://doi.org/10.3390/f7070136
- Access: open access
- Copy we read: https://www.mdpi.com/1999-4907/7/7/136/htm
- Every equation from this source: https://treeallometry.org/sources/dong-2016/
- Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#source

## The facts, in the source's words

**Equation** (Eq. (1), additivity constraints):

> lnWa = ln(Ws + Wb + Wf) + εa; lnWt = ln(Wr + Ws + Wb + Wf) + εt

Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#equation

**Trees measured** (Section 2.2):

> a total of 114 Korean pine trees, 90 larch trees, and 85 Mongolian pine trees were destructively sampled

Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#quote-fit-n-trees

**Our note:** Larch (Larix gmelinii) plantations, System 1 (D only) of Table 4: ln W = a* + b* ln D, natural logarithm, coefficients as printed (a*, b*, c*). No correction factor is stated in the paper, none applied. n and D/H ranges from Table 2 (sample statistics of the fitted trees). Stem includes bark; roots exclude fine roots <5 mm. No R2 recorded (adjusted R2 only). The paper defines this total as the exact sum of its component equations (additivity constraint); the expression is that sum with the Table 4 component coefficients, not a separately printed coefficient set.

## 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 = 10.4 | 29.8 | 29.8 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 18.8 | 152.5 | 152.5 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 30.1 | 575.6 | 575.6 | Computed from the printed form: computed from the published form (coefficients as printed) |

Cite: https://treeallometry.org/equations/dong-2016-larch-sys1-total/#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. (2016). Developing Two Additive Biomass Equations for Three Coniferous Plantation Species in Northeast China. Forests, 7(7), 136. https://doi.org/10.3390/f7070136

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Larch (Larix gmelinii) total (above + below ground) biomass from D only (sum of components, System 1)", checked 2026-11-02, https://treeallometry.org/equations/dong-2016-larch-sys1-total/. 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-2016-larch-sys1-total.json
Report a problem: email info@restorationscope.com with the equation id (dong-2016-larch-sys1-total) and where the right value appears.