Table 14 — Probability of occurrence for excess regeneration. The form of the equation is P = (1 +e-(^P'^)-^ 





Ponderosa 



Western 



Lodgepole 



Engelmann 



Douglas- 



White 



Grand 



Western 



Subalpine 



Western 



Variable 



pine 



larch 



pine 



spruce 



fir 



pine 



fir 



hemlock 



fir 



redcedar 



/■ (X) 



(0) 



(3) 



(3) 



(3) 



(3) 



(3) 



(3) 



(3) 



(3) 



(3) 



1 Constant 



-18.89119 



-15.25330 



-2.56629 



-26.32721 



-2.00802 



-2.6601 1 



-6.14484 



-9.31 954 



-7.40720 



-1.29179 



2 COS(ASP)*SLO 







1 .58775 



1 .07703 







-0.13516 



-.21036 



1 .47745 



4.31678 



1 .03636 



1.96111 



3 SIN(ASP)*SLO 







.44217 



-.20678 







-.39445 



-2.17665 



.26161 



-.90111 



.28255 



-.08096 



4 SLO 







-1 .50273 



-1.75710 



-1 .95903 



.85319 



-2.61597 



-.47692 



-.13394 



-1.52018 



-.67317 



5 'NONE 











































6 MECH 







.75803 



.05479 



.99041 



-.41157 







-.42492 



-.26230 



-.50965 



-.06477 



7 BURN 







.67282 



-.61241 



.54089 



-.49398 







-.83001 



-.56556 



-.81329 



.18186 



8 ROAD 







1 .92937 



-.47796 



1.52932 



.03980 







-.21219 



-.18974 



.21813 



.53623 



9 BAA 























-.01703 



-.00489 















10 In(BAA) 











-.36016 











.31670 



.13567 















11 ELEV 



.66069 



.43849 



-.21089 



.74546 



-.03835 







.27891 



.39648 



.05698 



-.03679 



12 ELEV^ 



-.00690 



-.00513 



.00224 



-.00650 











-.00366 



-.00559 











13 TIME 















.07038 



.06521 











.08965 







.07178 



^A. RPf?T 

 1 *f nco 1 





A 

 U 



u 



A 

 U 



A 

 U 



A 

 U 





A 



V 



A 

 U 



A 

 U 



15BWAF 



























.05026 















16BWB4 



































-.19509 







17 OVER 



.91178 



1 .28724 



2.65674 



1 .22240 



.73419 



1 .05466 



.43489 



1 .02526 



1 .50977 



1 .39996 



18 BOTTOM 











1 .05209 































Habitat type groups 





















19 PSMEA/AGL 







1 .05732 







No data 



.78603 



No data 



No data 



No data 



No data 



No data 



20 PSME/CARU 















No data 



.78603 



No data 



No data 



No data 



No data 



No data 



21 PSME/PHMA 











-1 .66484 



No data 







No data 



No data 



No data 



No data 



No data 



22 PSME/SYAL 











-.48823 



No data 







No data 



No data 



No data 



No data 



No data 



23 ABGR/LIBO 



-.80025 



1 .05732 



-.48823 











-.67461 







No data 







No data 



24 ABGR/XETE 



-.80025 



1 .05732 



-.48823 











-.67461 



-1.14939 



No data 







No data 



25 ABGR/CLUN 



-1.63194 



.43319 



-.48823 



.92664 











-.55579 



No data 







No data 



26 ABGR/SPBE 



-.80025 







-1 .66484 







-.60779 



-.67461 



-1.14939 



No data 



No data 



No data 



27 THPL/AII 



-1 .90005 



.43319 



-1 .89424 



1 .85920 















No data 











28 TSHE/AII 



No data 



1 .20503 



-.71352 



2.33304 



.49310 















2.10127 



-.43570 



29 ABUWAGL 



No data 



1 .55633 



.65440 



.61242 



-.63641 



No data 



-2.43159 



No data 



1 .80532 



No data 



30 ABUVXETE 



No data 



■i CCCOQ 

 1 .DODOO 



.D044U 



OAO 



.Oil 1 ao 



— .b/4t)i 





No data 





iNu Uala 



31 ABLA/CLUN 



No data 



1 .55633 



-.58735 



1 .85230 







-.67461 



-.88282 



No data 



3.37135 



No data 



32 ABUVCAGE 



No data 



No data 



.65440 







-.63641 



No data 



-2.43159 



No data 







No data 



33 ABUVMEFE 



No data 



1.55633 



-.58735 



1 .85230 











-2.431 59 



No data 



3.37135 



No data 



34 ABLA/CACA 



No data 



No data 



-.58735 



1 .85230 



No data 



No data 



No data 



No data 



2.10127 



No data 



National Forests 























35 Bitten-oot 



















1.31556 



No data 







No data 



1 .20278 



No data 



36 Panhandle 











































37 Clearwater 























-.56300 



















38 Colville 























-1 .86484 



















39 Deerlodge 







2.39893 











1.31556 



No data 



No data 



No data 



1 .20278 



No data 



40 Flathead 



No data 



2.39893 















-1 .86484 







No data 



1 .20278 



No data 



41 Gallatin 



No data 



No data 















No data 



No data 



No data 



1 .20278 



No data 



42 Helena 



No data 



No data 











1.31556 



No data 



No data 



No data 



1 .20278 



No data 



43 Kootenai 







2 39893 



















-.51882 







1 .20278 







44 Lolo 







2.39893 











1.31556 



-1.86484 



-.51882 







1 .20278 







45 Nez Perce 























No data 







No data 











46 Payette 























No data 



-.7681 1 



No data 







No data 



47 Boise 







No data 















No data 



-.7681 1 



No data 







No data 



Chi-square 



0.52 



8.96 



20.94 



9.00 



23.69 



2.04 



29.27 



18.43 



29.83 



10.24 



Error mean square 0.91 78 



1.1135 



0.9397 



1.3310 



0.9934 



0.9455 



1.0388 



0.9774 



0.7717 



0.9845 



Percent occurrence 1 .47 



2.78 



4.45 



2.60 



10.32 



3.33 



24.90 



24.95 



6.56 



16.72 



No. plots 



3,664 



5,712 



6,250 



5,494 



6,191 



4,326 



5,293 



994 



5,125 



2,326 



Optimum aspect 



NS 



16° 



349° 



NS 



251° 



264° 



10° 



358° 



15° 



358° 



Amplitude 





0.24 



0.16 





0.06 



0.32 



0.22 



0.58 



0.16 



0.29 



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



49 



