Harvesting a two-patch predator-prey metapopulation

Natural Resource Modeling

Volumn 12, Issue 4, 1999, Pages 481-498

  Supriatna, Asep K ^a,b   Possingham, Hugh P ^b  

^a FMIPA Univesitas Padjadjaran   (Indonesia)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Fisheries; Harvesting strategies; Predator prey metapopulation; Seeding strategy

Indexed keywords

EID: 31044443783     PISSN: 08908575     EISSN: 19397445     Source Type: Journal    
DOI: 10.1111/j.1939-7445.1999.tb00023.x     Document Type: Article

References (30)

1. T.T. Agnew [1982], Stability and Exploitation in Two-Species Discrete Time Population Models with Delay, Ecol. Model. 15, 235–249.
2. R.J.H. Beverton and S.J. Holt [1957], On the Dynamics of Exploited Fish Populations, Fisheries Investigations Series 2, London Ministry of Agriculture, Fisheries and Food.
3. G. Brown and J. Roughgarden [1997], A Metapopulation Model with Private Property and a Common Pool, Ecol. Econ. 22, 65–71.
4. L.D. Brown and N.D. Murray [1992], Population Genetics, Gene Flow, and Stock Structure in Haliotis rubra and Haliotis laevigata, in Abalone of the World: Biology, Fisheries and Culture (S.A. Shepherd, M.J. Tegner and S.A. Guzman del Proo, eds.), Fishing News Books, Oxford, 24–33.
5. K. Chaudhuri [1986], A Bioeconomic Model of Harvesting a Multispecies Fishery, Ecol. Model. 32, 267–280.
6. K. Chaudhuri [1988], Dynamic Optimization of Combined Harvesting of a Two-Species Fishery, Ecol. Model. 41, 17–25.
7. C.W. Clark [1971], Economically Optimal Policies for the Utilization of Biologically Renewable Resources, Math. Biosci. 12, 245–260.
8. C.W. Clark [1973], Profit Maximization and Extinction of Animal Species, J. Polit. Econ. 81, 950–961.
9. C.W. Clark [1976], Mathematical Bioeconomics: The Optimal Management of Renewable Resources, First edition, John Wiley, New York.
10. C.W. Clark and D.E. Tait [1982], Sex-Selective Harvesting of Wildlife Populations, Ecol. Model. 14, 251–260.
11. H. Dawid and M. Kopel [1997], On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function, J. Econ. Theor. 76, 272–297.
12. D.M. Dubois [1975], A Model of Patchiness for Prey-Predator Plankton Populations, Ecol. Model. 1, 67–80.
13. K.T. Frank [1992], Demographic Consequences of Age-Specific Dispersal in Marine Fish Populations, Canad. J. Fish. Aquat. Sci. 49, 2222–2231.
14. K.T. Frank and W.C. Leggett [1994], Fisheries Ecology in the Context of Ecological and Evolutionary Theory, Ann. Rev. Ecol. Syst. 25, 401–422.
15. S. Ganguly and K. Chaudhuri [1995], Regulation of a Single-Species Fishery by Taxation, Ecol. Model. 82, 51–60.
16. M. Gatto, A. Locatelli, E. Laniado and M. Nuske [1982], Some Problems of Effort Allocation on Two Non-Interacting Fish Stocks, Ecol. Model. 14, 193–211.
17. B.S. Goh [1975], Stability Vulnerability and Persistence of Complex Ecosystems, Ecol. Model. 2, 105–116.
18. R. Hillborn [1979], Some Long Term Dynamic of Predator-Prey Models with Diffusion, Ecol. Model. 6, 23–30.
19. L. Lefkovitch and L. Fahrig [1985], Spatial Characteristics of Habitat Patches and Population Survival, Ecol. Model. 30, 297–308.
20. H. Letcher and J.A. Rice [1997], Prey Patchiness and Larvae Fish Growth and Survival Inferences from an Individual-Based Model, Ecol. Model. 95, 29–43.
21. D. Ludwig and C.J. Walters [1982], Optimal Harvesting with Imprecise Parameter Estimates, Ecol. Model. 14, 273–292.
22. H. Matsumoto and H. Seno [1995], On Predator-Prey Invasion into a Multi-Patchy Environment of Two Kinds of Patches, Ecol. Model. 79, 131–147.
23. M. Mesterton-Gibbons [1996], A Technique for Finding Optimal Two-Species Harvesting Policies, Ecol. Model. 92, 235–244.
24. D. Palletier and P. Magal [1996], Dynamics of a Migratory Population under Different Fishing Effort Allocation Schemes in Time and Space, Canad. J. Fish. Aquat. Sci. 53, 1186–1199.
25. A.M. Parma, P. Amarasekare, M. Mangel, J. Moore, W.W. Murdoch, E. Noon-burg, M.A. Pascual, H.P. Possingham, K. Shea, W. Wilcox and D. Yu, [1998], What Can Adaptive Management Do for our Fish, Forests, Food, and Biodiversity ?, In-tegrative Biol. 1, 16–26.
26. D.L. Ragozin and G. Brown, Jr. [1985], Harvest Policies and Nonmarket Valuation in a Predator-Prey System, J. Environ. Econ. Manage. 12, 155–168.
27. W.J. Reed [1982], Sex-Selective Harvesting of Pacific Salmon: A Theoretically Optimal Solution, Ecol. Model. 14, 261–271.
28. T. Schmitt and C. Wissel [1985], Interdependence of Ecological Risk and Economic Profit in the Exploitation of Renewable Resources, Ecol. Model. 28, 201–215.
29. A.K. Supriatna and H.P. Possingham [1998], Optimal Harvesting for a Predator-Prey Metapopulation, Bull. Math. Biol. 60, 49–65.
30. G.N. Tuck and H.P. Possingham [1994], Optimal Harvesting Strategies for a Metapopulation, Bull. Math. Biol. 56, 107–127.