Don, 

I am finally getting to a question you previously asked about the projection of 
the full height of a tree from a section starting near the base. If we assume a 
uniform rate of taper and we have a section to use to project the full height, 
the following formula will do it. 


L = diameter of lower (large) end of log 


U = diameter of upper (small) end of log 


h = length of log 


b = length from L to base of tree 


T = total projected tree height 




T = [ h/(L-U)]U+ h + b 


Example. 


L = 5 


U = 2 


h = 100 


b = 3 


T = [100/(5-2)]2 + 100 + 3 = 169.6 ft 


Remember that this formula assumes a uniform rate of taper. If the tree 
increases its rate of taper above the log, which would be true for old growth 
forms that have a paraboloid form from about 5 feet up to where the limb 
structure takes over, then the rate of taper can change dramatically. 


Bob 

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