Tree taper
Tree taper is the degree to which a tree's stem or bole decreases in diameter as a function of height above ground. Trees with a high degree of taper are said to have poor form, while those with low taper have good form. The form of a tree is sometimes quantified by the Girard form class, which is the ratio, expressed as a percentage, of the butt-log scaling diameter to diameter at breast height.
Taper is often represented by mathematical functions fitted to empirical data, called taper equations. One such function, attributed to Ormerod, is
where:
= stem diameter at height h,
= tree diameter at breast height,
= tree total height,
height of interest, and
= breast height.
Once developed, taper equations can be used to predict the diameter at a given height, or the height for a given diameter.Footnotes