Max & Burkhart | d = D B H b 1 ( h H − 1 ) + b 2 ( h 2 H 2 − 1 ) + b 3 ( a 1 − h H ) 2 I 1 + b 4 ( a 2 − h H ) 2 I 2 |
where | d = diameter outside bark at height (cm) D B H = diameter at breast height outside bark (cm) h = height along stem (m) H = total height (m) b i = parameters a i = inflection points (i=1;upper, i=2;lower) | I i = 1 , i f h H < a i 0 , o t h e r w i s e |
Kozak | d = a 1 D B H a 2 a 3 D B H X b 1 Z 2 + b 2 ln ( Z + 0.001 ) + b 3 Z + b 4 e Z + b 5 ( D B H H ) |
where | Z = relative height ( = h H ) X = 1 − h H 1 − p ( p = H I H , H I = inflection point ) a i , b i = parameters | |
Lee | d x = b 1 · D B H 2 b · ( 1 − x h ) [ c 1 ⋅ ( x h ) 2 + c 2 ⋅ ( x h ) + c 3 ] |
where | x h = relative height, b i , c i = parameters | |