# Willow (Salix spp.) foliage biomass, northern taiga, Arkhangelsk

Foliage biomass equation for Salix, Russia, from Paramonov et al. 2022. 52 trees. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Paramonov et al. 2022 (Eq. 1 and Table 2):

> ln Pi = a0 + a1ln D (1); ln Pf –5,2760 1, 9644 0,633 0,435 (coefficients a0, a1, adjR2, SE)

Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#equation

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

```
Foliage biomass = exp(-5.276 + 1.9644 * ln(D))
```

Inputs: D = Diameter at breast height (1.3 m) (cm).
The source's own form: exp(-5.276 + 1.9644 * ln(D)), with D in cm; output in kg.
Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#canonical

## What it covers

- Output: Foliage biomass, kg
- Taxon: Salix (genus), family Salicaceae; broadleaf
- Where: Arkhangelsk region, northern taiga, Russia. Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#where
- Biomes: boreal
- Stand: natural
- Trees measured: 52. Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#n_trees
- Residual SE: 0.435. Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#rse
- Method: static allometry ln Pi = a0 + a1 ln D, regression fitted in Statgraphics-19. Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#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

Paramonov, A. A., Usoltsev, V. A., Tretyakov, S. V., et al. (2022). Willow tree biomass and its allometric models in the conditions of the Arkhangelsk region. Forests of Russia and economy in them, 4(83), 10–19.

- DOI: https://doi.org/10.51318/fret.2022.27.41.002
- Access: open access
- Every equation from this source: https://treeallometry.org/sources/paramonov-2022/
- Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#source

## The facts, in the source's words

**Equation** (Eq. 1 and Table 2):

> ln Pi = a0 + a1ln D (1); ln Pf –5,2760 1, 9644 0,633 0,435 (coefficients a0, a1, adjR2, SE)

Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#equation

**Trees measured** (Table 1 caption):

> Характеристика модельных деревьев ивы, взятых на 52 пробных площадях Архангельской области

Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#quote-fit-n-trees

**Our note:** Model ln Pi = a0 + a1 ln D with natural log (stated as ln); biomass Pi in kg oven-dry, D at breast height in cm. The paper states no back-transformation correction factor, so none is applied. The SE printed in Table 2 is used as rse. The paper reports adjusted R2 only, so r2 is omitted. n = 52 sample trees taken from the 52 plots in Table 1. Stem biomass is stem with bark ('Ps').

## 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 = 5 | 0.121 | 0.121 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 8 | 0.304 | 0.304 | Computed from the printed form: computed from the published form (coefficients as printed) |
| D = 12 | 0.674 | 0.674 | Computed from the printed form: computed from the published form (coefficients as printed) |

Cite: https://treeallometry.org/equations/paramonov-2022-foliage/#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: Paramonov, A. A., Usoltsev, V. A., Tretyakov, S. V., et al. (2022). Willow tree biomass and its allometric models in the conditions of the Arkhangelsk region. Forests of Russia and economy in them, 4(83), 10–19. https://doi.org/10.51318/fret.2022.27.41.002

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Willow (Salix spp.) foliage biomass, northern taiga, Arkhangelsk", checked 2026-11-02, https://treeallometry.org/equations/paramonov-2022-foliage/. 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/paramonov-2022-foliage.json
Report a problem: email info@restorationscope.com with the equation id (paramonov-2022-foliage) and where the right value appears.