The ChapmanRichards crown depth and radius relationshipsCrown Depth ParametersParameter name  Description 

ChapmanRichards Asymptotic Crown Height  The asymptotic crown depth (or length), in m, of the ChapmanRichards crown depth equation.  ChapmanRichards Crown Height Intercept  The intercept of the ChapmanRichards crown depth equation. This represents the crown depth, in m, of the smallest possible sapling.  ChapmanRichards Crown Height Shape 1 (b)  The first shape parameter, b, of the ChapmanRichards crown depth equation.  ChapmanRichards Crown Height Shape 2 (c)  The second shape parameter, c, of the ChapmanRichards crown depth equation. 
Crown Radius ParametersParameter name  Description 

ChapmanRichards Asymptotic Crown Radius  The asymptotic crown radius, in m, of the ChapmanRichards crown radius equation.  ChapmanRichards Crown Radius Intercept  The intercept of the ChapmanRichards crown radius equation. This represents the crown radius, in m, of the smallest possible sapling.  ChapmanRichards Crown Radius Shape 1 (b)  The first shape parameter, b, of the ChapmanRichards crown radius equation.  ChapmanRichards Crown Radius Shape 2 (c)  The second shape parameter, c, of the ChapmanRichards crown radius equation. 
The ChapmanRichards equation for calculating crown radius is: rad = i + a (1  e ^{b * DBH}) ^{c} where  rad is the crown radius, in meters
 DBH is the tree's DBH, in cm
 i is the ChapmanRichards Crown Radius Intercept parameter, which represents the crown radius of the smallest possible sapling
 a is the ChapmanRichards Asymptotic Crown Radius parameter
 b is the ChapmanRichards Crown Radius Shape 1 (b) parameter
 c is the ChapmanRichards Crown Radius Shape 2 (c) parameter
The ChapmanRichards equation for calculating crown depth is: ch = i + a (1  e ^{b * H}) ^{c} where  ch is the distance from the top to the bottom of the crown cylinder, in meters
 H is the tree's height, in m
 i is the ChapmanRichards Crown Height Intercept parameter, which represents the crown depth of the smallest possible sapling
 a is the ChapmanRichards Asymptotic Crown Height parameter
 b is the ChapmanRichards Crown Height Shape 1 (b) parameter
 c is the ChapmanRichards Crown Height Shape 2 (c) parameter
