A simple predator-prey model of exploited marine fish populations incorporating alternative prey

ICES Journal of Marine Science

Volumn 53, Issue 3, 1996, Pages 615-628

  Spencer, Paul D ^a   Collie, Jeremy S ^a  

^a UNIVERSITY OF RHODE ISLAND   (United States)

Author keywords

Autocorrelated variability; Exploitation; Functional response; Management; Marine fisheries; Predator prey model

Indexed keywords

MELANOGRAMMUS AEGLEFINUS; SPINY; SQUALUS ACANTHIAS;

ALTERNATIVE PREY; EXPLOITED FISH; FISHERY MODELS; HADDOCK; MODELLING; PREDATION; PREDATOR-PREY MODEL; SPINY DOGFISH;

DOGFISH; FISH; FISHERY; GROWTH RATE; MODEL; POPULATION; POPULATION MODEL; PREDATION; PREDATOR; PREY; SPECIES;

EID: 0029903394     PISSN: 10543139     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmsc.1996.0082     Document Type: Article

References (46)

1. Andersen, K. P. and Ursin, E. 1977. A multispecies extension to the Beverton and Holt theory, with accounts of phosphorous circulation and primary production. Meddr. Danm. Fisk.-og Havunders. N.S., 7: 319-435.
2. Abrams, P. A. and Roth, J. D. 1994. The effects of enrichment of three-species food chains with nonlinear effects of predation. Ecology, 75: 1118-1130.
3. Beddington, J. G. and May, R. M. 1977. Harvesting natural populations in a randomly fluctuating environment. Science, 197: 463-465.
4. Blinov, V. V. 1991. A robust approach to the analysis of feeding data and an attempt to link multispecies virtual population analysis and Volterra predator-prey system analysis. ICES Marine Science Symposium, 193: 80-85.
5. Bowman, R. E., Eppi, R., and Grosslein, M. D. 1984. Diet and consumption of spiny dogfish in the northwest Atlantic. ICES C.M. 1984/G: 27.
6. Caddy, J. F. and Gulland, J. A. 1983. Historical patterns of fish stocks. Marine Policy, 7: 267-278.
7. Clark, S. H., Overholtz, W. J., and Hennemuth, R. C. 1982. Review and assessment of the Georges Bank and Gulf of Maine haddock fishery. Journal of Northwest Atlantic Fishery Science, 3: 1-27.
8. Collie, J. S. and Spencer, P. D. 1993. Management strategies for fish populations subject to long-term environmental variability and depensatory predation. In Proceedings of the international symposium on management strategies of exploited fish populations, pp. 629-650. Ed. by G. H. Kruse, D. M. Eggers, R. J. Marasco, C. Pautzke, and T. J. Quinn. Alaska Sea Grant College Program Report No. 93-02. 825 pp.
9. Collie, J. S. and Spencer, P. D. 1994. Modeling predator-prey dynamics in a fluctuating environment. Canadian Journal of Fisheries and Aquatic Sciences, 51: 2665-2672.
10. Conroy, M. J., Cohen, Y., James, F. C., Matsinos, Y. G., and Maurer, B. A. 1995. Parameter estimation, reliability, and model improvement for spatially explicit models of animal populations. Ecological Applications, 5: 17-19.
11. DeAngelis, D. L. and Waterhouse, J. C. 1987. Equilibrium and nonequilibrium concepts in ecological models. Ecological Monographs, 57: 1-21.
12. Dunning, J. B. Jr, Stewart, D. J., Danielson, B. J., Noon, B. R., Root, T. E., Lamberson, R. H., and Stevens, E. E. 1995. Spatially explicit population models: current forms and future uses. Ecological Applications, 5: 3-11.
13. Getz, W. M. 1984. Population dynamics: a per capita approach. Journal of Theoretical Biology, 108: 623-643.
14. Gislason, H. 1991. The influence of variations in recruitment on multispecies yield predictions in the North Sea. ICES Marine Science Symposium, 193: 50-59.
15. Holden, M. J. 1973. Are long-term sustainable fisheries for elasmobranchs possible? Rapports et Procés-Verbaux des reunions du Conseil International pour l'Exploration de la Mer, 164: 360-367.
16. Holling, C. S. 1965. The functional response of predators to prey density and its role in mimicry and population regulation. Memoirs of the Entomological Society of Canada, 45: 1-60.
17. Holzwarth, T. and Mountain, D. 1992. Surface and bottom temperature distributions from the Northeast Fisheries Center spring and fall bottom trawl survey program, 1963-1987, with addendum for 1988-1990. NEFSC Reference Document 90-03. 62 pp.
18. Kareiva, P. 1989. Renewing the dialogue between theory and experiments in population ecology. In Perspectives in ecological theory, pp. 68-88. Ed. by J. Roughgarden, R. M. May, and S. A. Levin. Princeton University Press, Princeton, NJ. 394 pp.
19. Lluch-Belda, D., Crawford, R. J. M., Kawasaki, T., MacCall, A. D., Parrish, R. H., Schwartzlose, R. A., and Smith, P. E. 1989. World-wide fluctuations of sardine and anchovy stocks: the regime problem. South African Journal of Marine Science, 8: 195-205.
20. Ludwig, D., Jones, D. D., and Holling, C. S. 1978. Qualitative analysis of insect outbreak systems: the spruce budworm and the forest. Journal of Animal Ecology, 47: 315-332.
21. May, R. M. 1974. Stability and complexity in model ecosystems, 2nd ed. Princeton University Press, Princeton, NJ. 265 pp.
22. May, R. M. (Ed.) 1976. Theoretical ecology: principles and applications. Blackwell Scientific Publications, Oxford, England. 317 pp.
23. May, R. M. 1977. Thresholds and breakpoints in ecosystems with a multiplicity of stable states. Nature, 269: 471-477.
24. May, R. M., Beddington, J. R., Clark, C. W., Holt, S. J., and Laws, R. M. 1979. Management of multispecies fisheries. Science, 205: 267-277.
25. Maynard-Smith, J. and Slatkin, M. 1973. The stability of predator-prey systems. Ecology, 54: 384-391.
26. Mountain, D. G. and Murawski, S. A. 1992. Variation in the distribution of fish stocks on the northeast continental shelf in relation to their environment, 1980-1989. ICES Marine Science Symposium, 195: 424-432.
27. Murdoch, W. W. and Oaten, A. 1975. Predation and population stability. Advances in Ecological Research, 9: 1-132.
28. NEFSC (Northeast Fisheries Science Center) 1992. Report of the thirteenth regional stock assessment workshop (13th SAW). NEFSC. Ref. Doc. 92-02. 183 pp.
29. NEFSC (Northeast Fisheries Science Center) 1993. Status of the fisheries resources off the northeastern United States for 1993. NOAA Tech. Mem. NMFS-F/NEC-86. 140 pp.
30. Noy-Meir, I. 1975. Stability of grazing systems: an application of predator-prey graphs. Journal of Ecology, 63: 459-481.
31. Overholtz, W. J., Murawski, S. A., and Foster, K. L. 1991. Impact of predatory fish, marine mammals, and seabirds on the pelagic fish ecosystem of the northeastern USA. ICES Marine Science Symposium, 193: 198-208.
32. Peterman, R. M. 1977. A simple mechanism that causes collapsing stability regions in expoited salmon populations. Journal of the Fisheries Research Board of Canada, 34: 1130-1142.
33. Pimm, S. L. 1984. Food webs. Chapman and Hall, London. 219 pp.
34. Rosenzweig, M. L. 1971. Paradox of enrichment: destabilization of exploitation ecosystems in ecological time. Science, 171: 385-387.
35. Roughgarden, J. 1975. A simple model for population dynamics in stochastic environments. American Naturalist, 109: 713-736.
36. Shaefer, M. B. 1954. Some aspects of the dynamics of populations important to the management of commercial marine fisheries. Bulletin of the Inter-American Tropical Tuna Commission, 1: 27-56.
37. Shepherd, J. G. and Horwood, J. W. 1979. The sensitivity of exploited populations to environmental "noise", and the implications for management. Journal du Conseil International de la Mer, 38: 318-323.
38. Sissenwine, M. P. 1986. Perturbation of a predator-controlled continental shelf ecosystem. In Variability and management of large marine ecosystems, pp. 55-85. Ed. by K. Sherman, K., and L. M. Alexander. Westview Press, Boulder, CO. 319 pp.
39. Soutar, A. and Isaacs, J. D. 1974. Abundance of pelagic fish during the 19th and 20th centuries as recorded in anaerobic sediment off the Californias. Fishery Bulletin, 72(2): 257-273.
40. Sparre, P. 1991. Introduction to multispecies virtual population analysis. ICES Marine Science Symposium, 193: 12-21.
41. Steele, J. H. 1985. A comparison of terrestrial and marine ecological systems. Nature, 313: 355-358.
42. Steele, J. H. and Henderson, E. W. 1981. A simple plankton model. American Naturalist, 117: 676-691.
43. Steele, J. H. and Henderson, E. W. 1984. Modeling long-term fluctuations in fish stocks. Science, 224: 985-987.
44. Steele, J. H. and Henderson, E. W. 1992. The role of predation in plankton models. Journal of Plankton Research, 14: 157-172.
45. Turchin, P. and Taylor, A. D. 1992. Complex dynamics in ecological time series. Ecology, 73: 289-305.
46. Vance, P. R. 1978. Predation and resource partitioning in one predator-two prey model communities. American Naturalist, 112: 797-813.