# Liriodendron tulipifera Branch W = aD^b H^c (Table 11)

Branch biomass equation for Liriodendron tulipifera, South Korea, from Kang et al. 2016. 40 trees, DBH 5.9–38.7 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Kang et al. 2016 (Table 11 (W=aD^bH^c)):

> Branch 0.020 4.452 -2.430 0.846

Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#equation

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

```
Branch biomass = 0.02 * D^4.452 * H^(-2.43)
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: 0.02 * DBH^4.452 * H^(-2.43), with DBH in cm, H in m; output in kg.
Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#canonical

## What it covers

- Output: Branch biomass, kg
- Taxon: Liriodendron tulipifera (species), family Magnoliaceae; broadleaf
- Where: Suwon (Gyeonggi), Jangseong and Gangjin (Jeollanam-do), South Korea. Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#where
- Biomes: temperate
- Stand: plantation
- Trees measured: 40. Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#n_trees
- DBH range: 5.9–38.7 cm. Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#dbh
- Height range: 6.6–26.6 m. Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#height
- R²: 0.846. Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#r2
- Method: regression in SPSS 19.0 (power forms fitted on log-transformed data). Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#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

Kang, M.S., Jang, K.S., Son, Y.M., et al. (2016). Allometric Equations and Biomass Expansion of Yellow Poplar (Liriodendron tulipifera) in Southern Korea. Journal of Korean Forest Society, 105(4), 463-471.

- DOI: https://doi.org/10.14578/jkfs.2016.105.4.463
- Access: open access
- Copy we read: http://e-journal.kfs21.or.kr/journal/view.asp?key=3493107
- Every equation from this source: https://treeallometry.org/sources/kang-2016/
- Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#source

## The facts, in the source's words

**Equation** (Table 11 (W=aD^bH^c)):

> Branch 0.020 4.452 -2.430 0.846

Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#equation

**Trees measured** (결과 및 고찰 1 (Results 1)):

> 조사한 백합나무 표준목은 40본이나 뿌리까지 굴취한 것은 21본이다.

Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#quote-fit-n-trees

**Our note:** W = dry weight in kg (Table 7 in kg), D = DBH in cm, H = tree height in m. The paper prints no correction factor, so none is applied. DBH 5.9-38.7 cm and height 6.6-26.6 m are the min and max of the per-site ranges in Table 6 (Suwon, Jangseong, Gangjin; ages 8-34 years).

## 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 = 15, H = 12 | 8.21 | 8.21 | Computed from the printed form: computed from the Table 11 coefficients |
| D = 30, H = 22 | 41.2 | 41.2 | Computed from the printed form: computed from the Table 11 coefficients |

Cite: https://treeallometry.org/equations/kang-2016-branch-pow-dh/#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: Kang, M.S., Jang, K.S., Son, Y.M., et al. (2016). Allometric Equations and Biomass Expansion of Yellow Poplar (Liriodendron tulipifera) in Southern Korea. Journal of Korean Forest Society, 105(4), 463-471. https://doi.org/10.14578/jkfs.2016.105.4.463

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Liriodendron tulipifera Branch W = aD^b H^c (Table 11)", checked 2026-11-02, https://treeallometry.org/equations/kang-2016-branch-pow-dh/. 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/kang-2016-branch-pow-dh.json
Report a problem: email info@restorationscope.com with the equation id (kang-2016-branch-pow-dh) and where the right value appears.