Equations / Root biomass

Gray alder, southern taiga and mixed-forest data (Kazimirov 1978, Miezīte 2011): root biomass from D and aboveground biomass (Table 2)

Root biomassAlnus incana · BetulaceaeRussia, LatviamixedRead from the original paper

Equation

As printed (Table 2, ln Pr row, eq. (3))

ln Pr (3) 2,1294 –3,5935 2,4672 – 0,945 0,265 17 (ln Pr = a0 + a1 ln D + a3 ln Pa)

In this library's units, ready to compute (kg)

Root biomass = exp(2.1294 + -3.5935 * ln(D) + 2.4672 * ln(AGB))

D: Diameter at breast height (1.3 m), cm
AGB: Aboveground dry biomass of the tree, kg

Root biomass was not measured by the authors: fitted on 17 observations for gray alder from the southern taiga and coniferous-broadleaved subzones (Kazimirov et al. 1978; Miezite et al. 2011), not on the Arkhangelsk trees. Inputs: D in cm and aboveground biomass Pa in kg (Pa = AGB). adjR2 = 0.945. Natural log as printed; Baskerville correction already in the free term.

Source

Karaban, A. A., Usoltsev, V. A., Tretyakov, S. V., Koptev, S. V., Paramonov, A. A., Tsvetkov, I. V., Davydov, A. V., & Tsepordey, I. S. (2023). Biomass of gray alder trees and its allometric models in the conditions of the Arkhangelsk region. Forests of Russia and economy in them, 2(85), 42–50.

doi:10.51318/fret.2023.36.20.005 · Open access · copy we read

17 определений

Trees measured · Results, p. 46 (root data from Kazimirov et al. 1978 and Miezite et al. 2011, southern taiga and mixed forest subzones)

Trees measured: 17
Residual SE: 0.265
Method: OLS regression on natural logarithms; free term corrected for log transformation (Baskerville 1972)
Where: Southern taiga and coniferous-broadleaved subzones of European Russia and Latvia (root data of Kazimirov et al. 1978 and Miezīte et al. 2011), not the Arkhangelsk sample
Last checked: 2026-11-02

Calculate

DBH (cm)AGB (kg)

1.373

Root biomass (kg)

0.645

Carbon (kg), ×0.47

2.365

CO₂e (kg), ×44/12

Shaded: the DBH range the model was fitted on. Other inputs held at the values above.

Checks this equation passes

On every build, the library's form and the paper's own form (in its units) must both give these values within 1%.

Inputs	Expected	We get	From
D = 5, AGB = 5	1.37	1.37	Computed from the printed form computed from the published form (coefficients as printed; free term already includes the Baskerville log correction per the Table 2 note)
D = 10, AGB = 20	3.48	3.48	Computed from the printed form computed from the published form (coefficients as printed; free term already includes the Baskerville log correction per the Table 2 note)
D = 15, AGB = 45	5.99	5.99	Computed from the printed form computed from the published form (coefficients as printed; free term already includes the Baskerville log correction per the Table 2 note)

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Alnus glutinosa root biomass (Table 2) · Ruiz-Peinado et al. 2012 · DBH
Gray alder, European Russia pooled: aboveground biomass from D (Eq. 5) · same paper · Aboveground biomass
Gray alder, Arkhangelsk: aboveground biomass from D (Table 2) · same paper · Aboveground biomass
Gray alder, Arkhangelsk: branch biomass from D (Table 2) · same paper · Branch biomass
Gray alder, Arkhangelsk: foliage biomass from D (Table 2) · same paper · Foliage biomass
Gray alder, Arkhangelsk: stem biomass (in bark) from D (Table 2) · same paper · Stem biomass

Compare these curves

Gray alder, southern taiga and mixed-forest data (Kazimirov 1978, Miezīte 2011): root biomass from D and aboveground biomass (Table 2)

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