Seasonal dynamics of Daphnia and algae explained as a periodically forced predator-prey system

Oikos

Volumn 80, Issue 3, 1997, Pages 519-532

  Scheffer, Marten ^a   Rinaldi, Sergio ^b   Kuznetsov, Yuri A ^c   Van Nes, Egbert H ^a  

^a INST INLAND WATER MGMT WASTE W   (Netherlands)

^b POLITECNICO DI MILANO   (Italy)

^c CWI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGAE; GRAZING; SEASONAL DYNAMICS; TROPHIC INTERACTION; ZOOPLANKTON;

CLADOCERA; DAPHNIA;

EID: 0031446525     PISSN: 00301299     EISSN: None     Source Type: Journal    
DOI: 10.2307/3546625     Document Type: Article

References (55)

1. Arnold, D. E. 1971. Ingestion, assimilation, survival, and reproduction of Daphnia pulex fed seven species of blue-green algae. - Limnol. Oceanogr. 16: 906-920.
2. Arnold, V. 1983. Geometrical methods in the theory of ordinary differential equations. - Springer-Verlag, New York.
3. Berger, C. 1975. Occurrence of Oscillatoriacea agardhii Gom. in some shallow eutrophic lakes. - Verh. Int. Ver. Theor. Angew. Limnol. 19: 2689-2697.
4. Brooks, J. L. and Dodson, S. I. 1965. Predation, body size and composition of plankton. - Science 150: 28-35.
5. Carpenter, S. R., Lathrop, R. C. and Munoz-Del-Rio, A. 1993. Comparison of dynamic models for edible phytoplankton. - Can. J. Fish. Aquat. Sci. 50: 1757-1767.
6. Caughley, G. and Lawton, J. H. 1981. Plant-herbivore systems. - In: May, R. M. (ed.), Theoretical ecology, principles and applications. 2. Blackwell, Oxford, pp. 132-166.
7. De Stasio, B. T., Jr. 1990. The role of dormancy and emergence patterns in the dynamics of a freshwater zooplankton community. - Limnol. Oceanogr. 1079-1090.
8. Doveri, F., Scheffer, M., Rinaldi, S., Muratori, S. and Kuznetsov, Y. A. 1993. Seasonality and chaos in a plankton-fish model. - Theor. Popul. Biol. 43: 159-183.
9. Engelmayer, A. 1995. Effects of predator-released chemicals on some life history parameters of Daphnia pulex. - Hydrobiologia 307: 203-206.
10. Gilpin, M. E. 1972. Enriched predator-prey systems: theoretical stability. - Science 177: 902-904.
11. Gliwicz, Z. M. 1990. Why do cladocerans fail to control algal blooms? - Hydrobiofogia 200/201: 83-98.
12. _ and Lampert, W. 1990. Food thresholds in Daphnia species in the absence and presence of blue-green filaments. - Ecology 71: 691-702.
13. Gragnani, A. and Rinaldi, S. 1995. A universal bifurcation diagram for seasonaly perturbed predator-prey models. - Bull. Math. Biol. 57: 701-712.
14. Grebogi, C., Ott, E. and Yorke, J. A. 1987. Chaos, strange attractors and fractal basin boundaries in non-linear dynamics. - Science 238: 632-638.
15. Guckenheimer, J. and Holmes, P. 1983. Nonlinear oscillations, dynamical systems and bifurcations of vector fields. - Springer-Verlag, New York.
16. Gulati, R. D. 1983. Zooplankton and its grazing as indicators of trophic status in Dutch lakes. - Environ. Monil. Assess. 3: 343-354.
17. Hambright, K. D. 1994. Can zooplanktivorous fish really affect lake thermal dynamics? - Arch. Hydrobiol. 130: 429-438.
18. Hanson, M. A. and Butler, M. G. 1994. Responses of plankton, turbidity and macrophytes to biomanipulation in a shallow prairie lake. - Can. J. Fish. Aquat. Sci. 51: 1180-1188.
19. Harper, D. M. and Ferguson, A. J. D. 1982. Zooplankton and their relationships with water quality and fisheries. - Hydrobiologia 88: 135-145.
20. Hastings, A., Hom, C. L., Ellner, S. and Turchin, P. 1993. Chaos in ecology - Is mother nature a strange attractor? - Annu. Rev. Ecol. Syst. 24: 1-33.
21. Hosper, S. H. and Meijer, M.-L. 1986. Control of phosphorus loading and flushing as restoration methods for Lake Veluwe, the Netherlands. - Hydrobiol. Bull. 20: 183-194.
22. Jeppesen, E., Jensen, J. P., Søndergaard, M., Lauridsen, T. L., Pedersen, L. J. and Jensen, L. 1997. Top-down control in freshwater lakes with special emphasis on the role of fish, submerged macrophytes and water depth. - Hydrobiologia 342: 151-164.
23. Jurgens, K. and Stolpe, G. 1995, Seasonal dynamics of crustacean Zooplankton, heterotrophic nanoflagellates and bacteria in a shallow, eutrophic lake. - Freshw. Biol. 33: 27-38.
24. Khibnik, A. I., Kuznetsov, Y. A., Levitin, V. V. and Nikolaev, E. V. 1992. Continuation techniques and interactive software for bifurcation analysis of ODF's and iterative maps. - Physica D 62: 360-370.
25. Kuznetsov, Y. A. 1995. Elements of applied bifurcation theory. - Springer-Verlag, New York.
26. _ , Muratori, S. and Rinaldi, S. 1992. Bifurcations and chaos in a periodic predator-prey model. - Int. J. Bifurcation Chaos 2: 117-128.
27. Lair, N. and Ayadi, H. 1989. The seasonal succession of planktonic events in Lake Aydat, France: a comparison with the PEG model. - Arch. Hydrobiol. 115: 589-602.
28. Lammens, E. H. R. R. 1985. A test of a model for planktivorous filter feeding by bream Abramis brama. - Environ. Biol. Fishes 13: 289-296.
29. _ , DeNie, H. W., Vijverberg, J. and Densens, W. L. T. 1985. Resource partitioning and niche shifts of bream (Abramis brama) and eel (Anguilla anguilla) mediated by predation of smelt (Osmerus eperlanus) on Daphnia hyalina. - Can. J. Fish. Aquat. Sci. 42: 1342-1351.
30. Lampert, W. and Rothhaupt, K. O. 1991. Alternating dynamics of rotifers and Daphnia magna in a shallow lake. - Arch. Hydrobiol. 120: 447-456.
31. _ , Fleckner, W., Rai, H. and Taylor, B. E. 1986. Phytoplankton control by grazing Zooplankton: a study on the spring clear-water phase. - Limnol. Oceanogr. 31: 478-490.
32. Luecke, C., Vanni, M. J., Magnuson, J. J. and Kitchell, J. F. 1990. Seasonal regulation of Daphnia populations by planktivorous fish implications for the spring clear-water phase. - Limnol. Oceanogr. 35: 1718-1733.
33. McCauley, E. and Murdoch, W. W. 1987. Cyclic and stable populations: plankton as paradigm. - Am. Nat. 129: 97-121.
34. _ , Murdoch, W. E. and Nisbet, R. M. 1990. Growth reproduction and mortality of Daphnia pulex Leydig life at low food. - Funct. Ecol. 4: 505-514.
35. Munro, I. G. and Bailey, R. G. 1980. Early composition and biomass of the crustacean Zooplankton in Bough Beech Reservoir, Southeast England, UK. - Freshw. Biol. 10: 85-96.
36. Reynolds, C. S. 1984. The ecology of freshwater phytoplankton. - Cambridge Univ. Press, Cambridge.
37. Rinaldi, S. and Muratori, S. 1993. Conditioned chaos in seasonally perturbed predator prey models. - Ecol. Model. 69: 79-97.
38. Rose, K. A., Swartzman, G. L., Kindig. A. C. and Taub, F. A. 1988. Stepwise iterative calibration of a multi-species phytoplankton-zooplankton simulation model using laboratory data. - Ecol. Model. 42: 1-32.
39. Rosenzweig, M. L. 1971. Paradox of enrichement: destabilization of exploitation ecosystems in ecological time. - Science 171: 385-387.
40. Rudstam, L. G., Lathrop, R. C. and Carpenter, S. R. 1993. The rise and fall of a dominant planktivore: direct and indirect effects on Zooplankton. - Ecology 74: 303-319.
41. Sarnelle, O. 1993. Herbivore effects on phytoplankton succession in a eutrophic lake. - Ecol. Monogr. 63: 129-149.
42. Sas, H. 1989. Lake restoration by reduction of nutrient loading: expectations, experiences, extrapolations. - Academia Verlag Richarz, St. Augustin.
43. Schaffer, W. M. 1988. Perceiving order in the chaos of nature. - In: Boyce, M. S. (ed.), Evolution of life histories of mammals. Yale University Press, New Haven, CT, pp. 313-350.
44. Scheffer, M. 1991. Fish and nutrients interplay determines algal biomass: a minimal model. - Oikos 62: 271-282.
45. _ , Van den Berg, M., Breukelaar, A. W., Breukers, C., Coops, H., Doef, R. W. and Meijer, M.-L. 1994. Vegetated areas with clear water in turbid shallow lakes. - Aquat. Bot. 49: 193-196.
46. _ , Baveco, J. M., DeAngelis, D. L., Lammens, E. H. R. R. and Shuter, B. 1995. Stunted growth and stepwise die-off in animal cohorts. - Am. Nat. 145: 376-388.
47. Schindler, D. E. 1971. Food quality and Zooplankton nutrition. - J. Anim. Ecol. 40: 589-595.
48. Seďa, J. and Duncan, A. 1994. Low fish predation pressure in London reservoirs: 2. consequences to Zooplankton community structure. - Hydrobiologia 291: 179-191.
49. Shapiro, J. and Wright, D. I. 1984. Lake restoration by biomanipulation Round Lake, Minnesota, the first two years. - Freshw. Biol. 14: 371-384.
50. Sommer, U., Gliwicz, Z. M., Lampert, W. and Duncan, A. 1986. The Plankton Ecology Group model of seasonal succession of planktonic events in fresh waters. - Arch. Hydrobiol. 106: 433-472.
51. Temte, J., Allen-Rentmeester, Y., Luecke, C. and Vanni, M. 1988. Effects of fish summerkill on Zooplankton and phytoplankton populations in Lake Mendota. - Annual International Symposium on Lake and Watershed Management 8: 8.
52. Townsend, D. W., Cammen, L. M., Holligan, P. M., Campbell, D. E. and Pettigrew, N. R. 1994. Causes and consequences of variability in the timing of spring phytoplankton blooms. - Deep-Sea Res. Part A Oceanogr. Res. Pap. 41: 747-765.
53. Vandermeer, J. 1993. Loose coupling of predator-prey cycles - Entrainment, chaos and intermittency in the classic McArthur consumer-resource equations. - Am. Nat. 141: 687-716.
54. Vyhnálek, V. 1989. Growth rates of phytoplankton populations in Rimov reservoir (Czechoslovakia) during the spring clear-water phase. - Ergeb. Limnol. 435-444.
55. Weider, L. J. and Pijanowska, J. 1993. Plasticity of Daphnia life histories in response to chemical cues from predators. - Oikos 67: 385-392.