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Tree taper is the degree to which a tree's stem or bole decreases in diameter as a function of height above ground. Within Forestry and for the purposes of timber production, trees with a high degree of taper are said to have poor form, while those with low taper have good form. The opposite is the case for open-grown amenity trees. The form of a tree is sometimes quantified by the
Girard form class Girard form class is a form quotient calculated as the ratio of diameter inside bark at the top of the first 16 foot log to the diameter outside bark at breast height ( DBH). Its purpose is to estimate board-foot volume of whole trees from measurem ...
, which is the ratio, expressed as a percentage, of the butt-log
scaling diameter Scaling may refer to: Science and technology Mathematics and physics * Scaling (geometry), a linear transformation that enlarges or diminishes objects * Scale invariance, a feature of objects or laws that do not change if scales of length, energ ...
to
diameter at breast height Diameter at breast height, or DBH, is a standard method of expressing the diameter of the trunk or bole of a standing tree. DBH is one of the most common dendrometric measurements. Tree trunks are measured at the height of an adult's breast, ...
. Taper is often represented by mathematical functions fitted to empirical data, called
taper equations Taper may refer to: * Part of an object in the shape of a cone (conical) * Taper (transmission line), a transmission line gradually increasing or decreasing in size * Fishing rod taper, a measure of the flexibility of a fishing rod * Conically ta ...
. One such function, attributed to Ormerod,Ormerod, D.W., 1973. A simple bole model. ''
Forestry Chronicle Forestry is the science and craft of creating, managing, planting, using, conserving and repairing forests, woodlands, and associated resources for human and environmental benefits. Forestry is practiced in plantations and natural stands. Th ...
''. 49:136-138.
is d(h)^2 = \left(\right)^ where: d(h) = stem diameter at height h, D = tree diameter at breast height, H = tree total height, h height of interest (h ≤ H), and h_b = breast height. Once developed, taper equations can be used to predict the diameter at a given height, or the height for a given diameter.


See also

* Judson Freeman Clark#International 1/4-inch log rule


Footnotes

{{Forestry Forest modelling