HANKIN: A MULTISTAGE RECRUITMENT PROCESS 



Cornell faculty and staff who contributed to this 

 research. Louis Leibovitz performed needed path- 

 ological examinations of fish and the Levine 

 Laboratory for Avian and Aquatic Animal Medi- 

 cine allowed access to their fluorescence micro- 

 scope. Alfred Eipper, former Leader, New York 

 Cooperative Fishery Research Unit, purchased 

 and loaned the analytical balance which enabled 

 accurate measurements of weight. Douglas Rob- 

 son, Biometrics Unit, and William Youngs, Nat- 

 ural Resources, provided invaluable criticism, 

 encouragement, and moral support throughout 

 the research. Edward Raney, President, Ichthyo- 

 logical Associates, is thanked for his support of the 

 graduate program in Natural Resources and Harry 

 Everhart, Chairman, for considering me worthy of 

 this support. Thanks are also extended to James 

 Zweifel, Southwest Fisheries Center La JoUa 

 Laboratory, National Marine Fisheries Service, 

 NOAA, for his perceptive review of an earlier 

 draft, and the final paper contents reflect his 

 significant contributions. 



LITERATURE CITED 



Bertalanffy, L. von. 



1938. A quantitative theory of organic growth (Inquiries 

 on growth laws. II). Hum. Biol. 10:181-213. 

 BEVERTON, R. J. H., AND S. J. HOLT. 



1957. On thedynamicsofexploitedfish populations. Fish. 

 Invest. Minist. Agric. Fish. Food (G.B.). Ser II, 19, 533 p. 



Breder, C. M., Jr., and C. W. Coates. 



1932. A preliminary study of population stability and sex 

 ratio of Lebistes. Copeia 1932:147-155. 



Butler, T. H. 



1961. Growth and age determination of the Pacific edible 

 crab Cancer magister Dana. J. Fish. Res. Board Can. 

 18:873-891. 



Drake, A. W. 



1967. Fundamentals of applied probability theory. 

 McGraw-Hill, N.Y., 283 p. 

 DRAPER, N. R., AND H. SMITH. 



1966. Applied regression analysis. Wiley, N.Y., 407 p. 



felin, F. 



1935. On reproduction and growth in the viviparous 

 Poeciliid Lebistes reticulatus (Peters). Masters Thesis, 

 Leland Stanford Junior Univ., Palo Alto, Calif. 



Forney, J. l. 



1976. Year-class formation in the walleye { Stizostedion 

 vitreum vitreum) population of Oneida Lake, New York, 

 1966-73. J. Fish. Res. Board Can. 33:783-792. 



Gotshall, D. W. 



1978. Relative abundance studies of Dungeness crabs, 

 Cancer magister, in Northern California. Calif. Fish 

 Game 64:24-37. 

 GULLAND, J. A. 



1962. The application of mathematical models to fish 

 populations. In E. D. Le Cren and M. W. Holdgate 



(editors), The exploitation of natural animal populations, 

 p. 204-217. Blackwell Sci. Publ., Lond, 

 HANKIN.D. G. 



1978a. New fluorescent fish scale marker Prog. Fish- 

 Cult. 40:163-164. 



1978b. Stock and recruitment in laboratory fish popula- 

 tions. Ph.D. Thesis, Cornell Univ., Ithaca, 186 p. 



Hester. F. J. 



1964, Effects of food supply on fecundity in the female 

 guppy, Lebistes reticulatus (Peters). J. Fish. Res. Board 

 Can. 21:757-764. 



Laaksg.M. 



1959. The influence of population density and harvesting 

 techniques on growth of the common guppy Lebistes 

 reticulatus. Ph.D. Thesis, Univ Minnesota, 123 p. 



May, R. M. 



1975. Biological populations obeying difference equations: 

 Stable points, stable cycles, and chaos. J. Theor Biol. 

 51:511-524. 



McKELVEY, R., D. G. HANKIN, K. YANOSKO, AND C. SNYGG. 

 In press. Stable cycles in multi-stage recruitment models: 

 An application to the Northern California Dungeness 

 crab fishery. Can. J. Fish. Aquatic Sci. 37(12). 



NELSON, w. R., M. C. Ingham, and w. e. Schaaf. 



1977. Larval transport and year-class strength of Atlantic 

 menhaden, Breuoortia tyrannus. Fish. BulL, U.S. 75: 

 23-41. 



OSTER, G. 



1975. Stochastic behavior of deterministic models. In 

 S. A. Levin (editor), Ecosystem analysis and prediction, 

 p. 24-37. Soc. Ind. Appl. Math., Phila. 



Purser, G. L. 



1938. Reproduction in Lebistes rericuZafus. Q.J.Microsc. 

 Sci. 81:151-157. 



regier. h. a. 



1978. A balanced science of renewable resources with 

 particular reference to fisheries. Wash. Sea Grant Publ. 

 WSG 78-1, 108 p. 



RICKER, W E. 



1954. Stock and recruitment. J. Fish. Res. Board Can. 

 11:559-623. 

 ROSENTHAL, H. L. 



1952. Observations on reproduction of the Poeciliid 

 Lebistes reticulatus (Peters). Biol. Bull. (Woods Hole) 

 102:30-38. 

 ROYAMA, T 



1977. Population persistence and density dependence. 

 Ecol. Monogr 47:1-35. 

 SHOEMAKER, H. H. 



1944. A laboratory study of fish populations. Trans. 

 Am. Fish. Soc. 74:350-359. 

 SILLIMAN, R. P 



1948. Factors affecting population levels in Lebistes 



reticulatus. Copeia 1948:40-47. 

 1968. Interaction of food level and exploitation in ex- 

 perimental fish populations. U.S. Fish Wildl. Serv., 

 Fish. Bull. 66:425-439. 

 SILLIMAN, R. P, AND J. S. GUTSELL. 



1958. Experimental exploitation of fish populations. U.S. 

 Fish Wildl. Serv., Fish. Bull. 58:215-252. 

 TURNER, C. L. 



1937. Reproductive cycles and superfetation in poeciliid 

 fishes. Biol. Bull. (Woods Hole) 72:145-164. 



577 



