Equations / Stem volume

Nothofagus antarctica inside-bark merchantable stem volume (to 15 cm top) from D and H (Schumacher-Hall, Cuadro 4)

Stem volumeNothofagus antarctica · NothofagaceaeArgentinanaturalRead from the original paper

Equation

As printed (Ecuación (2), Modelo 2 (estándar tradicional, Schumacher-Hall))

V = (a / 10.000) · DAP^b · HT^c (2)

In this library's units, ready to compute (m³)

Stem volume = 0.20379745 / 10000 * D^2.32092575 * H^0.71495048

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

Cuadro 4 and the formulas are images on SciELO; coefficients transcribed from them. V in m3, DAP in cm, HT total height in m. Coefficient a is divided by 10.000 in the printed formula. VFSC is the merchantable stem volume inside bark to a 15 cm minimum top diameter (Métodos: 'el fuste sin corteza de extracción hasta un diámetro mínimo de 15 cm'), not the whole stem. The paper also prints Models 3 and 5 (site class CS or stand dominant height HD) and per-stand local models; those need predictors outside the canonical variables and are not included.

Source

Lencinas, M. V., Martínez Pastur, G., Cellini, J. M., Vukasovic, R., Peri, P., & Fernández, M. C. (2002). Incorporación de la altura dominante y la clase de sitio a ecuaciones estándar de volumen para Nothofagus antarctica (Forster f.) Oersted. Bosque, 23(2), 5-17.

doi:10.4067/s0717-92002002000200002 · Open access · copy we read

VFSC = volumen de fuste sin corteza (m3); Modelo 2: a = 0,20379745, b = 2,32092575, c = 0,71495048

Equation · Cuadro 4

Se utilizaron 251 árboles de Nothofagus antarctica a lo largo de Tierra del Fuego (Argentina) (DAP entre 7,5-61,0 cm y HT entre 3,5-15,0 m).

Trees measured · Resumen

r2 0,93

R² · Cuadro 4, Modelo 2

Trees measured: 251
DBH range: 7.5–61 cm
Height range: 3.5–15 m
R²: 0.93
Method: nonlinear regression
Where: Central Isla Grande de Tierra del Fuego, Argentina (15 sites)
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

0.048

Stem volume (m³)

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 = 15, H = 8	0.0484	0.0484	Computed from the printed form computed from the published form (coefficients as printed; a divided by 10.000)
D = 30, H = 12	0.323	0.323	Computed from the printed form computed from the published form (coefficients as printed; a divided by 10.000)
D = 50, H = 14	1.18	1.18	Computed from the printed form computed from the published form (coefficients as printed; a divided by 10.000)

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Nothofagus antarctica total over-bark volume from D and H (Schumacher-Hall, Cuadro 4) · same paper · Total volume

Nothofagus antarctica inside-bark merchantable stem volume (to 15 cm top) from D and H (Schumacher-Hall, Cuadro 4)

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