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Table 8 The volume models applied by the 21 European NFIs. VcK tree volume V according to the definition of country c and including the mentioned tree parts K, age tree age, cbh circumference at breast height, dbh diameter at breast height, dbhdom dominant dbh, dg quadratic mean diameter, d03h upper diameter in 3/10 of the height, d6 upper diameter at 6-m height, d7 upper diameter at 7-m height, elevation above sea level, forest type even-aged or uneven-aged or intermediate, h tree height, hcrown height to the crown basis, hdom dominant height, region regions within country, site quality total productivity per hectare and year, social position social rank within the stand, species tree species, tree shape classes of tree form

From: Harmonisation of stem volume estimates in European National Forest Inventories

Country—NFI

Volume model

Remark

Reference

Austria

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h, d03h)

Conifers

Braun (1969); Pollanschütz (1974); Schieler (1988)

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h, d03h, hcrown)

Broadleaves

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h)

 

Belgium

VcK = bole(wood + bark) = fcK (species, cbh, h)

 

Dagnelie et al. (2013)

VcK = bole(wood + bark) = fcK (species, cbh)

 

VcK = bole(wood + bark) = fcK (species, cbh, hdom)

 

Czech Republic

VcK = bole(wood) + large branches = fcK (species, dbh, h, age)

 

Lesprojekt (1952)

Denmark

VcK = stump + bole(wood + bark) + stem top = fcK (species, dbh, h)

Conifers

Madsen (1985); Madsen (1987); Madsen and Heusèrr (1993); Tarp-Johansen et al. (1997)

VcK = stump + bole(wood + bark) + stem top + large branches + small branches = fcK (species, dbh, h, dg)

Broadleaves

Estonia

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h)

 

MKJ (2009)

Finland

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h, d6)

 

Laasasenaho (1976, 1982)

France

VcK = stump + bole(wood + bark) = fcK (species, cbh, h)

 

Morneau and Hervé (2010)

Germany

VcK = stump + bole(wood + bark) = fcK (species, dbh, h, d7)

Conifers

Kublin (2003)

VcK = stump + bole(wood + bark) + large branches = fcK (species, dbh, h, d7)

Broadleaves

Hungary

VcK = bole(wood + bark) + large branches = fcK (species, dbh, h)

 

Sopp and Kolozs (2000)

Ireland

VcK = bole(wood + bark) = fcK (species, dbh, h)

Conifers

Riemer et al. (1995)

VcK = bole(wood + bark) + large branches = fcK (species, dbh, h)

Broadleaves

Latvia

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h)

 

Liepa (1996)

Lithuania

VcK = stump + bole(wood + bark) + stem top = fcK (species, dbh, h)

 

Grigaliūnas and Garbinčius (1972); Kuliešis and Gudas (1989); Kuliešis and Kenstavičius (1976)

Norway

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h)

 

Bauger (1995); Braastad (1966); Brantseg (1967); Vestjordet (1967)

Portugal

VcK = stump + bole(wood + bark) + stem top = fcK (species, dbh, h)

Acacia sp., Castanea sativa, Eucalyptus globulus, Pinus pinaster, Pinus pinea, other conifers

Carvalho (2000); Patrício (2006); Paulo and Tomé (2006); Tomé et al. (2007a, b)

VcK = stump + bole(wood + bark) = fcK (species, dbh, h)

Other oaks, other broadleaves

VcK = stump + bole(wood) + large branches = fcK (species, dbh)

Quercus suber

VcK = stump + bole(wood + bark) + large branches = fcK (species, dbh)

Quercus ilex s.l.

Romania

VcK = bole(wood + bark) + stem top + large branches + small branches = fcK (species, dbh, h)

 

Giurgiu (1974)

Serbia

VcK = stump + bole(wood + bark) + large branches = fcK (species, dbh, h)

 

Pantić (1997a, b)

Slovakia

VcK = bole(bark) + large branches = fcK (species, dbh, h)

 

Petráš and Pajtík (1991)

Slovenia

VcK = bole(wood + bark) + large branches = fcK (species, dbh, forest type)

 

Čokl (1957)

Spain

VcK = bole(wood + bark) = fcK (species, dbh, h, tree shape, region)

 

ICONA (1990)

Sweden

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h)

 

Andersson (1954); Braastad (1967); Eriksson (1973); Hagberg and Matérn (1975); Näslund and Hagberg (1950)

VcK = bole(wood + bark) + stem top = fcK (species, dbh, h, hcrown)

Alnus glutinosa, Picea abies, Pinus sylvestris, Larix sp.

Switzerland

VcK = stump + bole(wood + bark) + stem top = fcK (species, dbh, h, d7)

Volume function

Kaufmann (2001)

VcK = stump + bole(wood + bark) + stem top = fcK (species, dbh, dbhdom, bifurcation, social position, elevation, site quality)

Tariff function