Timber Volume Equations (Published by Forest Survey of India (FSI))

A digital compilation of timber volume equations published by Forest Survey of India (FSI), Dehradun, India in 1996. Equations were published in a book titled "Volume Equations for Forests of India, Nepal and Bhutan"¹. The book covers ~1200 equations on nearly 222 species.

There are two types of equations used in the book. One types of equations have tree-height as a separate parameter and called general volume equation. These can be applied to a larger geographic area of the species. The second types of equation are called local volume equation and these just require diameter at the breast height as the only measurement.

General Volume Equations

Contains equations of type:

$Volume (V) = f(D, H)$

Where

V: Tree Volume is in $m^3$

D: Diameter at Breast Height (1.37 m from the ground level) (meter)

H: Tree Height (meter)

#	Equation
1	$V=a+bD^{2}H$
2	$V=a+bD+cD^{2}H$
3	$V=a+bD^{2}+c\left(D^{2}H\right)^{2}$
4	$V=a+bD+cD^{2}H+d\left(D^{2}H\right)^{2}$
5	$V=a+bD+cH+dD^{2}H$
6	$V=a+bD+cD^{2}+dD^{2}H$
7	$\log_{e}V=a+b\log_{e}D+c\log_{e}H$
8	$\frac{V}{D^2H}=a+bD^2H$
9	$\frac{V}{D^2H}=a+bD^2H+\frac{c}{D^2H}$
10	$V=a+bD^{2}+cH+dD^{2}H$
11	$V=a+bD^{2}+cD^2H+dD\sqrt{H}$

: List of types of "General Volume Equations (GVE)"

Local Volume Equations

Contains equations of type:

$Volume (V) = f(D)$

#	Equation
1	$V=a+bD^{2}$
2	$V=a+bD+cD^{2}$
3	$V=a+bD+cD^{2}+dD^{3}$
4	$V=a+b\sqrt{D}+cD^{2}$
5	$\sqrt{V}=a+bD$
6	$\sqrt{V}=a+bD+c\sqrt{D}$
7	$\frac{V}{D^2}=a+\frac{b}{D^2}$
8	$\frac{V}{D^2}=a+\frac{b}{D}+\frac{c}{D^2}$
9	$\frac{V}{D^2}=a+\frac{b}{D^2}+\frac{c}{D}+dD$
10	$\log_{e}V=a+b\log_{e}D$
11	$\sqrt{V}=a+bD+c(D^2)$
12	$\frac{V}{D}=a+\frac{b}{D}+cD+d(D^2)$
13	$V=a+b\sqrt{D}+cD+d(D^2)$

: List of types of "local Volume Equations (LVE)"

Species digitized:

Please see the following link of the project wiki for a general description of the species.

A list of links for getting a general description of species.

• Abies densa
• Abies pindrow
• Abies smithiana
• Acacia auriculiformis
• Acacia catechu
• Acacia species
• Acer campbellii
• Acer species
• Acrocarpus fraxinifolius
• Adina cordifolia
• Adina cordifolia
• Adina oligocephala
• Aesculus indica
• Ailanthus grandis
• Albizia lebbeck
• Albizia lucida
• Albizia procera
• Albizia species
• Albizia stipulata
• Alnus nepalensis
• Alnus species
• Altingia excelsa
• Amoora rohituka
• Amoora wallichii
• Anogeissus latifolia
• Anogeissus pendula
• Anogeissus species
• Anthocephalus cadamba
• Aphanamixis polystachya/ Amoora Canarana
• Artocarpus chaplasha
• Artocarpus hirsuta
• Artocarpus lakoocha
• Bauhinia species
• Beilschemedia species
• Beilschmiedia roxburghiana
• Betula alnoides
• Betula species
• Betula utilis
• Bischofia javanica
• Bombax ceiba
• Bombax insigne
• Boswellia serrata
• Bridelia retusa
• Broussonetia papyrifera
• Buchanania latifolia
• Buchanania angustifolia
• Callicarpa species
• Callophyllum elatum/tomentosum
• Calophyllum inophyllum
• Canarium euphyllum
• Canarium species
• Canarium strictum
• Careya arborea
• Casearia species
• Cassia fistula
• Cassia siamea
• Castanopsis hystrix
• Castanopsis indica
• Castanopsis species
• Cedrus deodara
• Chickrassia tabularis
• Chir-pine (Pinus roxburghii)
• Chloroxylon swietenia
• Cinnamomum cecidodaphne
• Cinnamomum species
• Cinnamomum tamala
• Cinnamomum zeylanicum
• Cleistanthus collinus
• Cochlospermum gossypium
• Cordia species
• Cryptomeria japonica
• Cryptomeria paniculata
• Cupressus species
• Cyclostemon assamicus
• Dalbergia latifolia
• Dalbergia sissoo
• Dalbergia species
• Dillenia indica
• Dillenia pentagyna
• Diospyros malabarica
• Diospyros melanoxylon
• Diospyros species
• Diploknema butyracea/Madhuca butyracea
• Dipterocarpus indicus
• Dipterocarpus macrocarpus
• Dipterocarpus species
• Dipterocarpus turbinatus
• Duabanga sonneratioides
• Duabanga sonneratioides and Sterculia alata
• Dysoxylum binectiferum
• Dysoxylum malabaricum
• Ehretia laevis
• Elaeocarpus species
• Emblica officinalis
• Engelhardtia spicata
• Erythrina species
• Eucalyptus camaldulensis
• Eucalyptus globulus
• Eucalyptus grandis
• Eucalyptus hybrid (Mysore Gum)
• Eucalyptus species
• Eugenia cymosa
• Eugenia species
• Euphoria longana
• Ficus nervosa
• Ficus species
• Garcinia cambogia
• Garcinia morella
• Garuga pinnata
• Gmelina arborea
• Grewia species
• Grewia tiliaefolia
• Hardwickia binata
• Holarrhena antidysenterica
• Holigarna beddomei
• Holigarna grahmii
• Holoptelia integrifolia
• Hydnocarpus kurzii
• Hymenodictyon excelsum
• Juglans regia
• Kingiodendron pinnatum/Hardwickia pinnata
• Kydia calycina
• Lagerstroemia lanceolata
• Lagerstroemia parviflora
• Lagerstroemia species
• Lannea coromandelica
• Lansium anamallayanum
• Larix griffithii
• Lyonia (Pieris) ovalifolia
• Macaranga denticulata
• Machilus gammicana
• Machilus odoratissima
• Machilus species
• Madhuca latifolia
• Mallotus philippinensis
• Manilkara littoralis
• Mansonia dipikae
• Mastixia arborea
• Melanorrhoea usitata
• Melia azadirachta
• Mesua ferrea
• Michelia champaca
• Michelia excelsa
• Michelia species
• Miliusa species
• Mitragyna parviflora
• Monsonia species
• Myristica magnifica
• Myristica malabarica
• Olea dioica
• Ougeinia dalbergioides
• Pajanelia longifolia
• Palaquim ellipticum
• Persia macrantha/ Machilus macrantha
• Phoebe cooperiana
• Phoebe goalparensis
• Phoebe species
• Picea smithiana
• Picea spinulosa
• Pinus caribaea and Pinus patula
• Pinus khasiya
• Pinus roxburghii
• Pinus wallichiana
• Planchonia andamanica
• Poplar (Populus deltoides)
• Populus ciliata
• Premna species
• Pterocarpus dalbergioides
• Pterocarpus marsupium
• Pterocymbium tinctorium (Sterculia companulata)
• Pterospermum acerifolium
• Pterospermum species
• Quercus dilalala
• Quercus incana
• Quercus lamellosa
• Quercus lineata
• Quercus semecarpifolia
• Quercus species
• Rhododendron arboreum
• Rhododendron species
• Salmalia (Bombax) insignis
• Sapium eugenifolium
• Saurinia nepalensis
• Schima khasiana
• Schima wallichii
• Schleichera trijuga
• Semecarpus anacardium
• Shorea assamica
• Shorea robusta
• Sideroxylon longepetiolatum
• Spondias pinnata
• Sterculia villosa
• Stereospermum personatum
• Stereospermum suaveolens
• Symplocos spicata
• Symplocos theaefolia
• Syzygium cumini
• Syzygium species
• Taxus baccata
• Tectona grandis
• Terminalia belerica
• Terminalia bialata
• Terminalia chebula
• Terminalia citrana
• Terminalia myriocarpa
• Terminalia paniculata
• Terminalia procera
• Terminalia species
• Terminalia tomentosa
• Tetrameles nudiflora
• Toona ciliata
• Toona ciliata/Cedrela toona
• Trewia nudifiora
• Tsuga brunoniana
• Tsuga dumosa
• Vateria indica
• Vitex peduncularis
• Wrightia tinctoria
• Xerospermum glabratum
• Xylia xylocarpa
• Zanthoxylum rhetsa
• Zizyphus xylopyra

References

Footnotes

1. Forest Survey of India. (1996). Volume equations for forests of India, Nepal, and Bhutan. Forest Survey of India, Ministry of Environment & Forests, Government of India. FSI Book Link ↩