Nothofagus antarctica / Total volume

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

Total 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)

Total volume = 0.59330761 / 10000 * D^2.16326966 * H^0.68172248

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. VTCC is total volume over bark including the stump and a fine tip down to 5 cm diameter (Métodos: 'incluyó la corteza, el tocón y una punta fina de hasta 5 cm'). 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

VTCC = volumen total con corteza (m3); Modelo 2: a = 0,59330761, b = 2,16326966, c = 0,68172248

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 0,943

R² · Cuadro 4, Modelo 2

Trees measured: 251
DBH range: 7.5–61 cm
Height range: 3.5–15 m
R²: 0.943
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

0.0857

Total 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	0.0857	0.0857	Computed from the printed form computed from the published form (coefficients as printed; a divided by 10.000)
D = 30, H = 12	0.506	0.506	Computed from the printed form computed from the published form (coefficients as printed; a divided by 10.000)
D = 50, H = 14	1.7	1.7	Computed from the printed form computed from the published form (coefficients as printed; a divided by 10.000)

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Nothofagus obliqua (roble) total volume, ln v from ln(d²h) (Cuadro 5, Grupo 3) · Salas Eljatib 2002 · DBH + Height
Nothofagus antarctica inside-bark merchantable stem volume (to 15 cm top) from D and H (Schumacher-Hall, Cuadro 4) · same paper · Stem volume

Compare these curves

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

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