# Chinese pine branch biomass from DBH (age-sequence plantations)

Branch biomass equation for Pinus tabuliformis, China, from Shen et al. 2025. 60 trees. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Shen et al. 2025 (Section 2.3, Eq. 1):

> M = aD^b

Cite: https://treeallometry.org/equations/shen-2025-branch-d/#equation

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

```
Branch biomass = 0.0583 * D^2.0492
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: 0.0583 * D^2.0492, with D in cm; output in kg.
Cite: https://treeallometry.org/equations/shen-2025-branch-d/#canonical

## What it covers

- Output: Branch biomass, kg
- Taxon: Pinus tabuliformis (species), family Pinaceae; conifer
- Where: Lahailing forestry station, Chengde, northern Hebei Province. Cite: https://treeallometry.org/equations/shen-2025-branch-d/#where
- Biomes: temperate
- Stand: plantation
- Trees measured: 60. Cite: https://treeallometry.org/equations/shen-2025-branch-d/#n_trees
- R²: 0.931. Cite: https://treeallometry.org/equations/shen-2025-branch-d/#r2
- Method: non-linear least squares. Cite: https://treeallometry.org/equations/shen-2025-branch-d/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/shen-2025-branch-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

Shen, H., You, H., Yu, X., Zhang, T., Zhao, Y., & Liu, X. (2025). Biomass Allocation and Allometric Equations in an Age Sequence of Chinese Pine (Pinus tabuliformis) Plantations. Forests, 16(12), 1760.

- DOI: https://doi.org/10.3390/f16121760
- Access: open access
- Copy we read: https://www.mdpi.com/1999-4907/16/12/1760/pdf?version=1763741259
- Every equation from this source: https://treeallometry.org/sources/shen-2025/
- Cite: https://treeallometry.org/equations/shen-2025-branch-d/#source

## The facts, in the source's words

**Equation** (Section 2.3, Eq. 1):

> M = aD^b

Cite: https://treeallometry.org/equations/shen-2025-branch-d/#equation

**Equation** (Table 3):

> Branch (1) 0.0583 2.0492 0.931 287 <0.001

Cite: https://treeallometry.org/equations/shen-2025-branch-d/#quote-expression

**R²** (Table 3):

> Branch (1) 0.0583 2.0492 0.931 287 <0.001

Cite: https://treeallometry.org/equations/shen-2025-branch-d/#quote-fit-r2

**Trees measured** (Section 2.2):

> In total, 60 sample trees were selected for the destructive measurement.

Cite: https://treeallometry.org/equations/shen-2025-branch-d/#quote-fit-n-trees

**Our note:** M = aD^b. Power model M = aD^b (or a(D²H)^b) fitted by non-linear least squares (no log back-transform). Sample trees were 60 destructively harvested trees from stands aged 8, 18, 32 and 46 years; the paper does not give the DBH or height range of the sample trees (Table 1 gives stand means only), so none is given. Roots are coarse roots (>5 mm), so the root and total-tree equations leave out fine roots. The third form in Table 3, M = aD^b A^c, needs stand age (not a canonical variable) and is not added.

## 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 | 6.53 | 6.53 | Computed from the printed form: hand-computed from the published form |
| D = 25 | 42.7 | 42.7 | Computed from the printed form: hand-computed from the published form |

Cite: https://treeallometry.org/equations/shen-2025-branch-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: Shen, H., You, H., Yu, X., Zhang, T., Zhao, Y., & Liu, X. (2025). Biomass Allocation and Allometric Equations in an Age Sequence of Chinese Pine (Pinus tabuliformis) Plantations. Forests, 16(12), 1760. https://doi.org/10.3390/f16121760

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Chinese pine branch biomass from DBH (age-sequence plantations)", checked 2026-11-02, https://treeallometry.org/equations/shen-2025-branch-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/shen-2025-branch-d.json
Report a problem: email info@restorationscope.com with the equation id (shen-2025-branch-d) and where the right value appears.