CLARK and MANGEL; AGGREGATION AND FISHERY DYNAMICS 



needs to be given to these problems. Experience 

 gained from other fishery failures suggests that 

 control may be extremely difficult to achieve un- 

 less expansion of the fishing industry is kept under 

 control. For domestic fisheries operating within 

 200-mi zones, such control is now a possibility. For 

 international pelagic fisheries, such as the tropi- 

 cal tuna fisheries, however, the problem of entry 

 limitation remains unresolved. 



ACKNOWLEDGMENTS 



This research was performed under contract to 

 Southwest Fisheries Center, National Marine 

 Fisheries Service, under contract number 03-6- 

 208-35341. 



For valuable discussions and correspondence 

 about the tuna fisheries we are indebted to many 

 people, including particulai'ly Robin Allen, Wil- 

 liam Fox, Robert Francis, Paul Greenblatt, John 

 Gulland, Daniel Huppert, James Joseph, Peter 

 Larkin, William Perrin, Gary Sakagawa, Gary 

 Sharp, Carl Walters, and Norman Wilimovsky. 

 Responsibility for errors and expressed opinions, 

 however, lies solely with the authors. 



LITERATURE CITED 



ANDERSON, L, G, 



1977. The economics of fisheries management- The 

 Johns Hopkins Univ. Press. Baltimore. Md.. 214 p. 

 ARONSON, D.. .\ND H. WEINBERGER. 



1975. Nonlinear diffusion in population genetics, combus- 

 tion and nerve pulse propagation. In J. A, Goldstein 

 leditori, Partial differential equations and related topics, 

 p. 5-49, Lecture notes in mathematics 466. Springer- 

 Verlag, N.Y. 



BRO.'\DHEAD. G. C, .'\ND C. J. ORANGE. 



1960 Species and size relationships within schools of yel- 

 lowfin and skipjack tuna, as indicated by catches in the 

 Eastern Tropical Pacific Ocean, Inter-Am, Trop Tuna 

 Comm,, Bull, 4:447-492, 



Calkins, T, P, 



1961. Measures of population density and concentration of 

 fishing effort for yellowfin and skipjack tuna in the East- 

 em Tropical Pacific Ocean, 1951-1959. Inter-Am. Trop. 

 Tuna Comm . Bull 6:69-152. 

 CLARK. C- W. 



1974, Possible effects of schooling on the dynamics of 

 exploited fish populations, J, Cons. 36:7-14. 



1976, Mathematical bioeconomics: The optimal manage- 

 ment of renewable resources. Wiley-Interscience. N,Y.. 

 352 p. 



GULLAND. J. A. 



1956. The study of fish populations by the analysis of 



commercial catches. Cons, Perm, Int. Explor. Mer Rapp. 

 P.-V. 140:21-27. 



Jones, D. D., and C. J. Walters. 



1976. Catastrophe theory and fisheries regulation. J. 

 Fish. Res, Board Can, 33:2829-2833, 



KOLATA, G. B. 



1977, Catastrophe theon,': the emperor has no clothes. Sci- 

 ence (Wash., DC) 196:287, 350-351. 



LL'DWIG. D. 



1974, Stochastic population theories. Lecture notes in 

 biomathematics 3 Spnnger-Verlag. N,Y,. 108 p. 

 May, R, M, 



1974. Biological populations with nonoverlapping genera- 

 tions: stable points, stable cycles, and chaos. Science 

 (Wash,. DC, I 186:645-647, 



Moore, W, 



1972, Physical chemistry. Prentice-Hall, Englewood 

 Cliffs, N.J,, 977 p. 



Murphy, G. I, 



1966, Population biology of the Pacific sardine tSard:nops 

 caerulea). Proc, Calif Acad, Sci,. Ser, 4, 34:1-84, 



1977. Clupeoids. In J. A. Gulland (editor). Fish popula- 

 tion dynamics, p. 283-308. Wiley. NY, 

 NEYMiVN. J, 



1949. On the problem of estimating the number of schools 

 offish. Univ. Calif, Publ, Stat, 1:21-36, 

 PALOHEIMO, J. E., AND L. M, DICKIE, 



1964, Abundance and fishing success. Cons, Perm, Int. 

 Explor, Mer Rapp P,-V, 155:152-163, 

 PELLA. J. J, 



1969, A stochastic model for purse seining in a two-species 

 fishery. J, Theoret, Biol, 22:209-226. 

 PELLA, J. J., AND C, T. PSAROPULOS. 



1975. Measures of tuna abundance from purse-seine oper- 

 ations in the eastern Pacific Ocean, adjusted for fleet-wide 

 evolution of increased fishing power. 1960-1971, Inter- 

 Am, Trop, Tuna Comm,, Bull, 16:281-400, 



ROTHSCHILD. B- J. 



1977, Fishing effort, /n J, A, Gulland (editor). Fish popu- 

 lation dynamics, p, 96-115, Wiley. NY, 



SCHAEFER, M. B. 



1957. A study of the dynamics of the fishery for yellowfin 

 tuna in the Eastern Tropical Pacific Ocean, Inter-Am, 

 Trop. Tuna Comm,, Bull, 2:245-285. 



1 967 , Fishery dynamics and present status of the yellowfin 

 tuna population of the Eastern Pacific Ocean, Inter-Am, 

 Trop, Tuna Comm,. Bull, 12:87-137, 



SH.'^RP, G, D, 



1978, Behavioral and physiological properties of tunas 

 andtheireffectson vulnerability to fishing gear, /n G, D, 

 Sharp and A, E, Dizon (editors), The physiological ecology 

 of tunas. Academic Press, NY. 



THOM. R, 



1975, Structural stability and morphogenesis. Benj'a- 

 min. Inc. Reading. Mass., 348 p. 



White, a., P. Handler, and E, L. Smith, 



1973, Principles of biochemistry, McGraw-Hill, NY., 

 1296 p. 

 ZEEMAN, E, C. 



1975, Levels of structure in catastrophe theon," illustrated 

 by applications in the social and biological sciences, Proc, 

 Int Congr, Math.. Vancouver, B.C., p. 533-546. 



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