Table 5. --Models for the mean of upper, middle, and lower one-third of residuals about the 



indicated log of basal area growth model 



Blackjack pine with all data: 



Upper Mean = +0.56557130 + 0.12995917A2 



Middle Mean = +0.09120012 + 0.12946423A2 



Lower Mean = -0.65677142 - 0.25924340A2 



Blackjack pine with uneven-aged data: 



Upper Mean 

 Middle Mean 

 Lower Mean 



Yellow pine: 



Upper Mean 

 Middle Mean 

 Lower Mean 



+0.61870031 + O.O8II8I38A3 

 +0.13230685 + 0.08389430A3 

 -0.75100716 - O.I6507568A3 



+0.70338067 + 0.7280557A3 

 +0.24266226 + 0.59168455A3 

 -0.94604293 - 1.31974025A3 



where 



= -0,244178 + 1 .244178*EXP(-(1. 176471 

 A2 = -0.095336 + 1.095336*EXP(-(1. 250000 

 A3 = -0.000203 + 1.000203*EXP(-(1. 428571 



0. 019607*TIME) 3) 

 0.020833*TIME)^) 

 0.023809*TIME)5) 



Prediction of Basal Area Growth and Diameter Growth 



Basal area growth of the one-third fastest (BAG]^), moderate (BAG2) , and slowest (BAG3) 

 growing trees is predicted by: 



BAG^ = EXP[R^ + K + In (BAG)], i = 1, 2, or 3 



where : 



BAG 



R, 

 1 



K 



In (BAG) 



predicted basal area growth for the ith third of the residuals 



predicted mean log of basal area growth residual for the ith 

 third of the residuals 



log bias correction factor 



final, average log of basal growth model 



Diameter growth of each third can then be computed by the relationship 



DG . 



1 



where ; 



DG . 

 2 



D 



|576 



(DBA + BAG^) 



^76 



DBA 



predicted diameter growth for the ith third of the residuals 

 diameter class size 



DBA = average basal area of the diameter class 



576 



(d2 + O.ID + 0.085) 



10 



