SUPPLEMENTARY EXPLANATORY DETAIL FOR EXAMPLE 1 



Int was estimated from leftward extension, from the ridge, of the mortality trend 

 indicated by data in each of six 2-inch d.b.h. groups. All six trends reached lower 

 asymptotes by 1963 and at that point suggested a flat, concave-upward curve over d.b.h. 

 (fig. 6). This was satisfactorily described using Matchacurve-2 , set A-l. 



12 r 

 10 

 8 



£ 6 

 4 

 2 



/ 



/ 



s 



A. 



-L 



10 12 14 

 D.B.H. 



16 18 



Figure 6 



Rsc is simply the height of the ridge above zero and serves as the scalar for the 

 right-half sigmoids. Rsc is a linear function of d.b.h., adopted to represent the 

 somewhat irregular pattern of ridge values for the six d.b.h. groups (fig. 7). Note 

 that the ridge line in figure 1 only appears to be sigmoidal by reason of the sigmoidal 

 change of point-of -peaking in time, with a change in diameter. 



o 

 to 

 DC 



50 r 

 40 

 30 

 20 

 10 

 



JL 



10 12 14 

 D.B.H. 



16 18 



Figure 7 



10 



