Lso = (Rsc-Int), and is the scalar for the left-half sigmoids. 



XP, the point in time at which the bell-shaped curves peaked, was estimated from 



the XP's for the six data-group cross-sections (fig. 8). This curve was estimated to 



asymptote at 68.88 and 67.75. A suitable match was found in the sigmoids of Matcha- 



curve-1 when the d.b.h. was reversed; namely, transformed to 20-(d.b.h.). 



Fiaure 8 



o 

 o 



CD 



69 P 



S 68 



DC 

 < 

 LU 



67 



-L 



-L 



10 



12 14 

 D.B.H. 



16 18 



20 



Lsia specifies the sigmoidal shape of the left side. After transforming Year to 

 5- | YR-XP | , to create X-values ranging from zero at XP-5, to 5 at XP, the six d.b.h. - 

 group cross-sections (left halves) were each scaled to 1.0 in X and Y...at critical 

 points in X. Overlay curves (see Matchacurve- 1) were plotted for these cross-sections 

 (fig. 9). The pattern was one of wider curve crowns near d.b.h. = 14 inches, narrowing 

 with increasing departure from that d.b.h. This is reflected in the bell-shaped 

 function for the inflection points, LI. Also, Matchacurve- 1 Standards with n = 1.5 

 were found to represent this curve array with reasonable accuracy, so Ln was set at the 

 constant, 1.5. 



Q_ 



1.0r 

 .8 - 

 .6 

 .4 

 .2 

 



D.B.H. 



Fiaure 9 



X/XP 



11 



