The Chapman-Richards crown depth and radius relationships

Crown Depth Parameters

Parameter nameDescription
Chapman-Richards Asymptotic Crown Height The asymptotic crown depth (or length), in m, of the Chapman-Richards crown depth equation.
Chapman-Richards Crown Height Intercept The intercept of the Chapman-Richards crown depth equation. This represents the crown depth, in m, of the smallest possible sapling.
Chapman-Richards Crown Height Shape 1 (b) The first shape parameter, b, of the Chapman-Richards crown depth equation.
Chapman-Richards Crown Height Shape 2 (c) The second shape parameter, c, of the Chapman-Richards crown depth equation.

Crown Radius Parameters

Parameter nameDescription
Chapman-Richards Asymptotic Crown Radius The asymptotic crown radius, in m, of the Chapman-Richards crown radius equation.
Chapman-Richards Crown Radius Intercept The intercept of the Chapman-Richards crown radius equation. This represents the crown radius, in m, of the smallest possible sapling.
Chapman-Richards Crown Radius Shape 1 (b) The first shape parameter, b, of the Chapman-Richards crown radius equation.
Chapman-Richards Crown Radius Shape 2 (c) The second shape parameter, c, of the Chapman-Richards crown radius equation.

The Chapman-Richards equation for calculating crown radius is:

rad = i + a (1 - e -b * DBH) c

where

The Chapman-Richards equation for calculating crown depth is:

ch = i + a (1 - e -b * H) c

where