HENRY: NATURAL AND FISHING MORTALITIES OF CHINOOK SALMON 



then, Equation (14) can be written as 



^7 ASM 



(l-mi)(l-m2)(l-m3) 



glSMi = g-6Ai2e-6(^'l+M2)g-6M3g-6(F2+M3)g-6M4g-6(F3+M4) 



k4 



= ^ :i± g-6M4g-6F3-6M4 

 ^2 



^^g-(6F3.12M4) = ^^ 



The natural logarithm of k^ 



In/Jg = ln/j4-(6F3+lZ^4) (21) 



which can be solved for F3 as follows: 



-6F3 = ln/26-ln/i!4 + 12.\/4 



-[In/e6-ln/?4+12M4] 

 ^3 = Q (text Equation (26)). (22) 



Equation (13) can be written 



(l-mi)(l-m2)(l-m3)^ ''2^2 F3+M4 ^' ^ ^ ^^ (23) 



and since e^^^^^^^'> = 6-6^3-1 2M4+6M4 = g-(6F3+i2M4)+6M4 ^ ginfc6-infe4+6iW4 ^^^^^ Equation (21)) 



and (from Equation (22)) 



Infe6-Infe4+12M4 

 F3 6 -[lnfc6-ln^4+12M4] 



F3+M4 ln/26-ln/j4+12M4 ,. -(ln/e6-ln/e4+12M4)+6M4 

 6 ^^ 



ln/j6-ln/24+12A/4 ln/e6-ln/e4+12M4 



ln/e6-ln/e4+12M4-6M4 ln/j6-ln/24+6M4 

 then Equation (23) becomes 



^6 IBM, . fi/if •n/?6-ln/?4+12M4 , ^ , ^ ^a^. 



(l-..)(l-m,)(l-m3) ^'"" = V-'^ n^^M^S^TeiuT d-'"""*""*) = *5 (text Equation ,26,). 



57 



