FISHERY BULLETIN: VOL. 76, NO. 1 



LITERATURE CITED 



Cleaver, F. C. 



1969. Effects of ocean fishing on 1961-brood fall chinook 

 salmon from Columbia River hatcheries. Res. Rep. Fish 

 Comm. Oreg. 1(1), 76 p. 



Graybill, F. a. 



1961. An introduction to linear statistical models, Vol. 

 1. McGraw Hill, N.Y., 463 p. 



Henry, k. a. 



1971. Estimates of maturation and ocean mortality for 

 Colimibia River hatchery fall chinook salmon and the 



effect of no ocean fishing on yield. Res. Rep. Fish Comm. 

 Oreg. 3:13-27. 



Lander, R. H., and K. A. Henry. 



1973. Survival, maturity, abundance, and marine dis- 

 tribution of 1965-66 brood coho salmon, Oncorhynchus 

 kisutch, from Columbia River hatcheries. Fish. Bull., 

 U.S. 71:679-695. 



WORLUND, D. D., R. J. WAHLE, AND P. D. ZIMMER. 



1969. Contribution of Columbia River hatcheries to har- 

 vest of fall chinook salmon (Oncorhynchus tshawy- 

 tscha). U.S. Fish Wildl. Serv., Fish. Bull. 67:361-391. 



APPENDIX 



Derivation of Text Equations 



As pointed out in the text, the probabilities of 



18M]^ 



E 



1.0-1 = m^e 



Q: d^ = {l-m,)e-'^''U-^''^ j^^ (l_e-6(^i-^^2)). 



(1) 

 (2) 



C2: d, = (l-mi)e-i«^^^ie-«^V6<^i^^^^2)(i_,„2).-^^^3 



^2 (i_g-6(F2+M3)^_ 



F2+M3 



(3) 

 (4) 



Eo: 



3- ^5 



= (l-mi)e-i«^ie"'^v6<^i-^2) (l-m2)e-'^^-'^e-*'<^2+M3)^3. 



(5) 



C3: 06 = (l-ml)e-l«^^l6-«^'2e-6(^l-M2)(l_^2)^"'''''3e-6(^V^^3)(l_,n3)e-6M4 



F3+M4 



(l_e-6(F3+^^4)). (6) 



£4: 07 = (l-mi)e-i«^ie-6^2e-6(Fi+M2) (l_,n2)e-'5^3e-6(i^2+^^3)(l_„^3)e-6M4g-6(F3+M4)_ 



(7) 



and maximum lil<elihood estimates of the 0, are: 



p 

 i9i = — or 01 = mie'^^^^i from Equation (1). 



No 



c w 



02 = ;^ or02 = (l-mi)e-^^^ie-6'^2 ^ J^^ (l-e-6<^'i+^2)) from Equation (2). 



^0 



F1+M2 



03 =^or03 = (l-mi)e-i«^ie-«^2e-6(Fi+M2) from Equation (3). 



04 — or 04 = (l-mi)e-i«^ie-«^2e-6(Fi+M2) (i.^^K^''^ -^^ 



Nq F2+M3 



(8) 

 (9) 



(10) 



(l_e-6(^2+^^3)) from Equation (4). 



(11) 



54 



