# Lodgepole pine total aboveground biomass, simple SUR (D only)

Aboveground biomass equation for Pinus contorta, United States, from Poudel & Temesgen 2016. 33 trees, DBH 13.5–42.9 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Poudel & Temesgen 2016 (Eq. 6 and Table 3, Simple SUR, Lodgepole pine):

> Total = Σ exp(aij + aij*X1 ...) over bole, bark, branch and foliage; simple SUR uses X1 = ln(DBH) only

Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#equation

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

```
Aboveground biomass = exp(-2.374 + 2.373 * ln(D)) + exp(-4.401 + 2.105 * ln(D)) + exp(-3.384 + 2.202 * ln(D)) + exp(-2.472 + 1.637 * ln(D))
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: exp(-2.374 + 2.373 * ln(D)) + exp(-4.401 + 2.105 * ln(D)) + exp(-3.384 + 2.202 * ln(D)) + exp(-2.472 + 1.637 * ln(D)), with D in cm; output in kg.
Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#canonical

## What it covers

- Output: Aboveground biomass, kg
- Taxon: Pinus contorta (species), family Pinaceae; conifer
- Where: Oregon, USA (several forests). Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#where
- Biomes: temperate
- Stand: mixed
- Trees measured: 33. Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#n_trees
- DBH range: 13.5–42.9 cm. Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#dbh
- Method: seemingly unrelated regression (simple SUR), component equations constrained to sum to total, fitted in original scale. Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#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

Poudel, K. P., & Temesgen, H. (2016). Methods for estimating aboveground biomass and its components for Douglas-fir and lodgepole pine trees. Canadian Journal of Forest Research, 46(1), 77-87.

- DOI: https://doi.org/10.1139/cjfr-2015-0256
- Access: open access
- Copy we read: https://utoronto.scholaris.ca/bitstreams/36d392bb-40cc-4598-b73c-6745768b0acf/download
- Every equation from this source: https://treeallometry.org/sources/poudel-2016/
- Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#source

## The facts, in the source's words

**Equation** (Eq. 6 and Table 3, Simple SUR, Lodgepole pine):

> Total = Σ exp(aij + aij*X1 ...) over bole, bark, branch and foliage; simple SUR uses X1 = ln(DBH) only

Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#equation

**Trees measured** (Materials and Methods, Data and Study Area):

> 22 Douglas-fir (Pseudotsuga menziesii (Mirbel) Franco) and 33 lodgepole pine (Pinus contorta) trees

Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#quote-fit-n-trees

**Our note:** Read from the author's accepted manuscript (draft, manuscript ID cjfr-2015-0256.R1), not the typeset article; values may differ from the final print. Total is the sum of the four component equations (bole, bark, branch, foliage) from the constrained SUR system, so it includes foliage and bark. Fitted in original scale, no correction factor. Extended SUR models (height, crown length) not included.

## 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 | 81.5 | 81.5 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 25 | 261 | 261 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 40 | 768 | 768 | Computed from the printed form: computed from the published form (coefficients as printed) |

Cite: https://treeallometry.org/equations/poudel-2016-lp-agb/#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: Poudel, K. P., & Temesgen, H. (2016). Methods for estimating aboveground biomass and its components for Douglas-fir and lodgepole pine trees. Canadian Journal of Forest Research, 46(1), 77-87. https://doi.org/10.1139/cjfr-2015-0256

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Lodgepole pine total aboveground biomass, simple SUR (D only)", checked 2026-11-02, https://treeallometry.org/equations/poudel-2016-lp-agb/. 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/poudel-2016-lp-agb.json
Report a problem: email info@restorationscope.com with the equation id (poudel-2016-lp-agb) and where the right value appears.