Table 19 — Weibull distribution functions for determining 



heiglits of excess trees. The form of the equation 

 is HT= B[-\n{-\-X)Y"^ +1. "X" is a random num- 

 ber drawn from a uniformly distributed pseudo- 

 random number generator 



Years since last disturbance 



Species 





z-7 yr 



o-l 2 yr 



13+ yr 



Ponderosa 



fi = 



2.77922 



9.03331 



14.13121 



pine 



C/ = 





1 .o/4yo 



.yjo/o 



Western 



B = 



6.64373 



1 1 .42298 



19.61887 



larch 



U = 





1 .1 DDI b 



1 .oUooo 



Lodgepole 



B = 



7.36042 



10.92885 



25.21441 



pine 



ly = 



i iylOAO 



1 .14oUo 





1 .11 /OlS 



Engelmann 



B = 



1.46615 



5.15927 



9.27278 



spruce 



o = 





.7oy0o 



1 .1^55 1 



Douglas- 



8 = 



3.81608 



8.16147 



10.98770 



tir 



c = 



.99673 



.84541 



.94804 



White 



B = 



2.12146 



5.06040 



5.97955 



pine 



C = 



.74585 



.78217 



.84217 



Grand 



B = 



3.08957 



5.83018 



10.10575 



fir 



C = 



.80068 



.83228 



.95408 



Western 



B = 



3.34771 



6.80682 



13.55346 



hemlock 



C = 



.56777 



.89463 



1.21404 



Subalpine 



B = 



2.92136 



4.58138 



10.33328 



fir 



C = 



.88514 



.87156 



1.04376 



Western 



B = 



3.16951 



4.50640 



8.94054 



redcedar 



C = 



.64055 



.81354 



.94349 



Table 20 — Equations predicting the probability of site preparations. 

 Only stands that were not deliberately site prepared 

 were used in these analyses. The form of the equation 



isP={1+e-'^p*-^'V 



Variable Mechanical 



/ W (P) 



Burn 



(P) 



None 



(P) 



1 Constant 



-1 .85203 



-15.19530 



1.04315 



2 COS(ASP)*SLO 



.49267 



.05195 



-.22095 



3 SIN(ASP)*SLO 



.19202 



-.61358 



.36958 



4 SLO 



-.96667 



-.08902 



.76911 



5 In(BAA) 



-.08592 



-.37792 



.26018 



6 ELEV 



.02494 



.53037 



-.02969 



7 ELEV2 







-.00491 







Habitat type series 









8 'PSME 















9 ABGR 



-.22684 



.08709 



.08573 



10 THPL 



-.60584 



-.09800 



.15116 



11 TSHE 



-.83269 



-.75666 



.68076 



12 ABLA 



-.30560 



-.26382 



.20339 



Chi-square 



11.79 



30.11 



14.51 



Error mean square 



0.9926 



1.1297 



1.0019 



Percent occurrence 



18.66 



9.40 



66.00 



No. plots 



6,024 



6,024 



6,024 



Optimum aspect 



21 o 



275° 



121° 



Amplitude 



0.08 



0.09 



0.06 



'Represented as part of the constant term to avoid a singular matrix. 



♦U.S. GOVERNMENT PRINTING OFFICE 1 993-0-774-04 1 /8 1 008 54 



