Equations / Branch biomass

Betula pendula branches biomass vs DBH (Eq. 4), forest-swamp, Middle Urals

Branch biomassBetula pendula · BetulaceaeRussianaturalRead from the original paper

Equation

As printed (Eq. (4) and Table 4, p. 126)

lnPi = a0 + a1lnD (4); lnPbr: a0 = –4,348, a1 = 2,3432

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

Branch biomass = exp(-4.348 + 2.3432 * ln(D))

D: Diameter at breast height (1.3 m), cm

The Baskerville log-correction is already in the printed intercept a0 (Table 4 footnote), so no separate factor. adjusted R2 reported: 0.896 (not used as r2). Pa excludes dead branches (reported separately as Pmort); the contract cannot express that exclusion. Only the 4 main fractions (stem in bark, branches, foliage, total) are added; bark and dead-branch fits omitted. 18 birch and 12 pine trees from 4 plots in one forest-swamp system.

Source

Petrova, I.V., Plukha, N.I., Usoltsev, V.A., et al. (2026). Aboveground biomass and its allometric models for the main and under storeys of the forest-swamp system in the Middle Urals. Forests of Russia and economy in them, 3(98), 118–134.

doi:10.51318/fret.2026.98.3.012 · Open access · copy we read

18 и 12 деревьев соответственно березы и сосны

Trees measured · Abstract (RU)

Trees measured: 18
DBH range: 1.1–17.1 cm
Height range: 2.1–14.5 m
Residual SE: 0.554
Method: log-log regression (OLS on natural logs); Baskerville correction included in the intercept
Where: Forest-swamp system by Lake Isetskoe, Sverdlovsk Oblast, Middle Urals
Last checked: 2026-11-01

Calculate

DBH (cm)

0.562

Branch biomass (kg)

0.264

Carbon (kg), ×0.47

0.968

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	0.562	0.562	Computed from the printed form hand-computed from the published form (Table 4 coefficients)
D = 10	2.85	2.85	Computed from the printed form hand-computed from the published form (Table 4 coefficients)
D = 15	7.37	7.37	Computed from the printed form hand-computed from the published form (Table 4 coefficients)

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White birch branch biomass from D only (MS-2) (Table 5) · Dong et al. 2018 · DBH
White birch branch biomass from D and H (MS-3) (Table 6) · Dong et al. 2018 · DBH + Height
Betula papyrifera branch biomass, cross-sectional area at 0.3 m (LLRC) · Flade et al. 2021 · D30
Betula papyrifera branch biomass, cross-sectional area at 0.3 m (NLS) · Flade et al. 2021 · D30
Birch living branch biomass, young dense stands, N Sweden (Table 5) · Repola & Ahnlund Ulvcrona 2014 · DBH + Height
Betula pendula total aboveground biomass vs DBH (Eq. 4), forest-swamp, Middle Urals · same paper · Aboveground biomass
Betula pendula foliage biomass vs DBH (Eq. 4), forest-swamp, Middle Urals · same paper · Foliage biomass
Betula pendula stem in bark biomass vs DBH (Eq. 4), forest-swamp, Middle Urals · same paper · Stem biomass
Pinus sylvestris total aboveground biomass vs DBH (Eq. 4), forest-swamp, Middle Urals · same paper · Aboveground biomass
Pinus sylvestris branches biomass vs DBH (Eq. 4), forest-swamp, Middle Urals · same paper · Branch biomass
Pinus sylvestris foliage biomass vs DBH (Eq. 4), forest-swamp, Middle Urals · same paper · Foliage biomass
Pinus sylvestris stem in bark biomass vs DBH (Eq. 4), forest-swamp, Middle Urals · same paper · Stem biomass

Compare these curves

Betula pendula branches biomass vs DBH (Eq. 4), forest-swamp, Middle Urals

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