Table 20. --Summary of final equations for simulating uneven-aged stand dynamics 

 in ponderosa pine/Arizona fescue habitat type 



BASAL AREA GROltfTH EQUATIONS 



Average Basal Area Growth 

 Blackjack pine 



In(BJBAG) = -8.51836897 + 1 . 16754330Cin(D) ) - 4 . 00970143E-02 (D) 



-3.84298771E-03(LBA2) - 7 . 15483662E-03 (MBAj) - 1 . 58234269E-02 (UBA 2) 

 -3.26097273E-01(Ai*in(D)) + 8 . 80676713E-01 (A 3) + 1.0(l/3(S)) 



BJBAG = EXP(in(BJBAG)) 

 Yellow pine 



in(YPBAG) = -15.2464932 + 4 . 27656656(In(D) ) - 1 . 8316162E-01 (D) 

 -7.27361567E-05(LBA2) 2 - 9 . 11165626E-04 (MBA2) 2 

 -2.41462106E-04(UBA2) 2 - 1 . 05776062 (A + 1.0(ln(S)) 



YPBAG = EXP(Jn(YPBAG)) 



Fast, Moderate, and Slow Basal Area Growths 

 Blackjack pine 



Fast BJBAG = EXP (0 . 56557130 + . 12995917 (A2) + Jn(BJBAG)) 

 Moderate BJBAG = EXP (0 . 09120012 + 0. 12946423(A2) + in(BJBAG)) 

 Slow BJBAG = EXPC-0. 65677142 - . 25942340 (A2) + In(BJBAG)) 



Yellow pine 



Fast YPBAG = EXP (0 . 70338067 + . 7280557 (A3) + In(YPBAG)) 

 Moderate YPBAG = EXP (0 . 24266226 + . 59168455 (A3) + in(YPBAG)) 

 Slow YPBAG = EXP(-0. 94604293 - 1 . 31974025 (A3) + in(YPBAG)) 



MORTALITY EQUATIONS -- Proportion of trees dying in next 5-year period 

 - 1 



PM = (1.0 + EXP(-X)) 

 Blackjack pine 



X = -5.372649 + 1 . 270862E-03 (d2) - 12 . 96478 (Ai*BJBAG) 

 Yellow pine 



X = -3.612474 - 4. 226903 (YPBAG) - 22 . 24186 (Ai*YPBAG) + 5 . 597303E-04 (d2) 



CONVERSION EQUATION -- Proportion of blackjack pine converting to yellow pine 



in each fourth growth period 

 - 1 



PC = (1.0 + EXP(-Y)) 



Y = -3.777269 + 0.5012605(D) - 6 . 597465E-03 (d2) - 0.0982176(S) 



UNEVEN-AGED INGROIVTH EQUATIONS 



Total Ingrowth 



TI = i5oS(BACLi)*l (1.0 + BACL2)*2ExP(i,3BA*'+ + (Ai*BA^'^) ) 



bo = 0.48630258 ^3 = -3 . 97721395E-06 



= 0.6594918 i,^ = 2.7667388 



i,2 = -0.49280582 b^ = -1 . 33299951E-06 



Through-Growth -- Proportion of total ingrowth growing into 5-inch diameter class 

 - 1 



PT = (1.0 + EXP(-Z)) 



Z = -2.636336 + 38 . 80808 (BJBAG-4") - . 03419626 (Aj *TI ) 



(continued) 



38 



