×

zbMATH — the first resource for mathematics

Optimal fishery policy for size-specific, density-dependent population models. (English) Zbl 0469.92010

MSC:
92D25 Population dynamics (general)
92D40 Ecology
90B99 Operations research and management science
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Anderson, L.: The economics of fisheries management, p. 214. Baltimore: Johns Hopkins University Press 1977
[2] Beddington, J. R., Taylor, D. B.: Optimum age specific harvesting of a population. Biometrics 29, 801-809 (1973) · doi:10.2307/2529145
[3] Bell, D. J., Jacobson, D. H.: Singular optimal control problems, p. 190. London: Academic Press 1975 · Zbl 0338.49006
[4] Beverton, R. J. H., Holt, S. J.: On the dynamics of exploited fish populations. Fish. Invert. London, Ser. 2, 19, 533 (1957)
[5] Botsford, L. W.: Modeling and optimization of aquatic productive systems. Ph.D. Thesis Proposal, unpublished (1976)
[6] Botsford, L. W.: Modeling, stability, and optimization of aquatic productive systems. Ph.D. Thesis, University of California, Davis (1978)
[7] Botsford, L. W., Wickham, D. E.: Behavior of age-specific, density-dependent models and the northern California Dungeness crab fishery. J. Fish. Res. Board Can. 35, 833-843 (1978)
[8] Bryson, A. E., Ho, Y.: Applied optimal control, p. 481. Waltham: Ginn and Company 1969
[9] Citron, J. J.: Elements of optimal control, p. 266. New York: Holt, Rinehart and Winston, 1969 · Zbl 0221.49002
[10] Clark, C. W.: The economics of overexploitation. Science 181, 630-634 (1973a) · doi:10.1126/science.181.4100.630
[11] Clark, C. W.: Profit maximization and the extinction of animal species. J. Polit. Econ. 81, 950-961 (1973b) · doi:10.1086/260090
[12] Clark, C. W., Munro, G. R.: The economics of fishing and modern capital theory: A simplified approach. J. Environ. Econ. Manage. 2, 92-106 (1975) · doi:10.1016/0095-0696(75)90002-9
[13] Clark, C. W.: Mathematical bioeconomics: The optimal management of renewable resources, p. 352. New York: John Wiley and Sons, Inc. 1976 · Zbl 0364.90002
[14] Clark, C. W., Mangel, M.: Aggregation and fishery dynamics: A theoretical study of schooling and the purse seine tuna fisheries. U.S. Fish. Bull. 77, No. 2 (1979)
[15] Clark, C. W., Clarke, F. H., Munro, G. R.: The optimal exploitation of renewable resource stocks: Problems of irreversible investment. Econometrica 47, No. 1 (1979) · Zbl 0396.90026
[16] Clark, C., Edwards, G., Friedlander, M.: Beverton-Holt model of a commercial fishery: Optimal dynamics. J. Fish. Res. Board Can. 30, 1629-1640 (1973)
[17] Cliff, E. M., Vincent, T. L.: An optimal policy for a fish harvest. J. Opt. Theory and Application 12, 493-496 (1973) · Zbl 0253.49021
[18] Dorfman, R.: An economic interpretation of optimal control theory. Amer. Econ. Rev. 59, 817-831 (1969)
[19] Fisher, R. A.: The genetical theory of natural selection. New York: Dover 1958 · JFM 56.1106.13
[20] Getz, W. M.: Optimal harvesting of structured populations. Math. Biosci. 44, 269-291 (1979) · Zbl 0402.92028 · doi:10.1016/0025-5564(79)90086-5
[21] Goh, B. S.: Optimal control of a fish resource. Malayan Scientist 5, 65-70 (1969/1970)
[22] Goh, B. S.: Optimal control of renewable resources and pest populations. Proc. 6th Hawaii Internat. Conf. on System Sciences, January 1973
[23] Graham, M.: Modern theory of exploiting a fishery, and application to North Sea trawling. J. Cons. Perm. Int. Explor. Mer. 10, 264-274 (1935)
[24] Hannesson, R.: Fishery dynamics: A North Atlantic cod fishery. Can. J. Econ. 8, 151-173 (1975) · doi:10.2307/134113
[25] Leslie, P. H.: On the use of matrices in certain population mathematics. Biometrika 33, 183-212 (1945) · Zbl 0060.31803 · doi:10.1093/biomet/33.3.183
[26] MacArthur, R. H.: On the relation between reproductive value and optimal predation. Proc. Nat. Acad. Sci. USA 46, 143-145 (1960) · Zbl 0097.14401 · doi:10.1073/pnas.46.1.143
[27] MacCall, A. D.: Density-dependence of catchability coefficient in the California Pacific sardine (Sardinops sagax caerulea), purse seine fishery. Cal-Co-op Oceanic Fish. Invest. Rep. 18, 136-148 (1976)
[28] Mendelssohn, R.: Optimization problems associated with a Leslie matrix. Amer. Natur. 110, 339-349 (1976) · doi:10.1086/283072
[29] Paloheimo, J. E., Dickie, L. M.: Production and food supply. In: Marine food chains (J. H. Steele, ed.). Berkeley-Los Angeles: University of California Press 1970
[30] Pope, J. G.: An investigation into the effects of variable rates of the exploitation of fishery resources. In: The mathematical theory of the dynamics of biological populations (M. S. Bartlett, R. W. Hiorns, eds.) pp. 347. New York: Academic Press 1973
[31] Reed, W. J.: Optimum age-specific harvesting in a non-linear population model. Biometrics 36, 579-593 (1980) · Zbl 0454.92018 · doi:10.2307/2556112
[32] Ricker, W. E.: Stock and recruitment. J. Fish. Res. Board Can. 11, 559-623 (1954)
[33] Rorres, C.: Optimal sustainable yields of a renewable resource. Biometrics 32, 945-948 (1976) · Zbl 0343.90017 · doi:10.2307/2529278
[34] Rorres, C., Fair, W.: Optimal harvesting policy for an age-specific population. Math. Biosci. 24, 31-47 (1975) · Zbl 0304.92018 · doi:10.1016/0025-5564(75)90065-6
[35] Rothschild, B. J.: Fishing effort. In: Fish population dynamics (J. Gulland, ed.), p. 372. New York: John Wiley and Sons 1977
[36] Schaefer, M. B.: Some aspects of the dynamics of populations important to the management of the commercial marine fisheries. Bull. Inter-Amer. Trop. Tuua Comm. 1, 26-56 (1954)
[37] Silliman, R. P.: Analog computer simulation and catch forecasting in commercially fished populations. Trans. Amer. Fish. Soc. 98, 560-569 (1969) · doi:10.1577/1548-8659(1969)98[560:ACSACF]2.0.CO;2
[38] Sinko, J. W., Streifer, W.: A new model for age size structure of a population. Ecology 48, 918-919 (1967) · doi:10.2307/1934533
[39] Walters, C. J.: A generalized computer simulation model for fish population studies. Trans. Amer. Fish. Soc. 98, 505-512 (1969) · doi:10.1577/1548-8659(1969)98[505:AGCSMF]2.0.CO;2
[40] Warren, C. E.: Biology and water pollution control, p. 434. Philadelphia: W. B. Saunders and Co., 1971
[41] Warren, C. E., Davis, G. E.: Laboratory studies of the feeding, bioenergetics and growth of fish. In: The biological basis of freshwater fish production (S. B. Gerking, ed.). New York: John Wiley and Sons 1967
[42] Watt, K. E. F.: Ecology and resource management, p. 450. New York: MacGraw-Hill 1968 · Zbl 0162.46601
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.