Equations / Foliage biomass

Scots pine needle biomass, ln-ln OLS (D and H)

Foliage biomassPinus sylvestris · PinaceaeMongolianaturalRead from the original paper

Equation

As printed (Table 4, needle section, Eq. 6, type N, p. 17)

lnŶ=lna+b x lnD+c x lnH; N: lna = -2.786, b = 3.006, c = -1.593, CF = 1.164

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

Foliage biomass = 1.164 * exp(-2.786 + 3.006 * ln(D) - 1.593 * ln(H))

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

Ordinary least squares (type N) rows of Table 4 with the printed CF applied; the weighted (type W) rows are not included because their printed RMSE/CF are on a weighted scale. The paper does not say whether the printed lna values for type N are rounded further. Table 4 decimal commas read as decimal points. The abstract names the D and H form (Eq. 6) as the best-fitting; the D-only form is also given. Total AGB = stem + branches + needles; the paper also describes a one-step proportional weighting for additivity, not applied here. Biomass in kg (Eq. 1 text).

Source

Tungalag, M., Altanzagas, B., Gerelbaatar, S., & Dorjsuren, Ch. (2020). Tree-level above-ground biomass equations for Pinus sylvestris L. in Mongolia. Mongolian Journal of Biological Sciences, 18(1), 13-21.

doi:10.22353/mjbs.2020.18.02 · Open access · copy we read

A total of 35 sample trees were destructively sampled

Trees measured · Materials and Methods, Data collection, p. 14

Trees measured: 35
DBH range: 4.7–55 cm
Height range: 4.6–23 m
Correction factor: 1.164 (applied)
Method: ordinary least squares on ln-transformed data (type N), with correction factor CF = exp(RMSE²/2)
Where: Northeastern Khangai and western Khentii forest regions, northern Mongolia
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

2.651

Foliage biomass (kg)

1.246

Carbon (kg), ×0.47

4.568

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 = 10, H = 8	2.65	2.65	Computed from the printed form computed from the published form (coefficients as printed)
D = 25, H = 16	13.8	13.8	Computed from the printed form computed from the published form (coefficients as printed)
D = 45, H = 21	52.4	52.4	Computed from the printed form computed from the published form (coefficients as printed)

Report a problem with this equation · JSON

Foliage biomass, Pinus tecunumanii shade trees, power-law DBH+H · Chalupová et al. 2026 · DBH + Height
Pinus caribaea needle biomass from DBH and height (simultaneous fit) · Coutinho et al. 2018 · DBH + Height
Pinus cembroides, additive system S2 (D and H): foliage (twigs with leaves) biomass · Cuevas Cruz & Aquino Ramírez 2020 · DBH + Height
Pinus brutia needle biomass, Lebanon (Eq. 29) · de-Miguel et al. 2014 · DBH + Height
Pinus brutia needle biomass, Lebanon (Eq. 30) · de-Miguel et al. 2014 · DBH
Pinus brutia needle biomass, Middle East (Eq. 39) · de-Miguel et al. 2014 · DBH + Height
Pinus brutia needle biomass, Middle East (Eq. 40) · de-Miguel et al. 2014 · DBH
Pinus brutia needle biomass, Syria (Eq. 20) · de-Miguel et al. 2014 · DBH
Scots pine AGB biomass, ln-ln OLS (D only) · same paper · Aboveground biomass
Scots pine AGB biomass, ln-ln OLS (D and H) · same paper · Aboveground biomass
Scots pine branch biomass, ln-ln OLS (D only) · same paper · Branch biomass
Scots pine branch biomass, ln-ln OLS (D and H) · same paper · Branch biomass
Scots pine needle biomass, ln-ln OLS (D only) · same paper · Foliage biomass
Scots pine stem biomass, ln-ln OLS (D only) · same paper · Stem biomass
Scots pine stem biomass, ln-ln OLS (D and H) · same paper · Stem biomass

Compare these curves

Scots pine needle biomass, ln-ln OLS (D and H)

Related