Top-down control of cyanobacteria: A theoretical analysis

American Naturalist

Volumn 153, Issue 1, 1999, Pages 59-72

  Gragnani, Alessandra ^a   Scheffer, Marten ^b   Rinaldi, Sergio ^a  

^a POLITECNICO DI MILANO   (Italy)

^b WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

Chaos; Cyanobacteria; Plankton dynamics; Top down control

Indexed keywords

PEST CONTROL;

COMPETITION; CYANOBACTERIUM; GRAZING; ZOOPLANKTON;

DAPHNIA; OSCILLATORIA;

EID: 0032985905     PISSN: 00030147     EISSN: None     Source Type: Journal    
DOI: 10.1086/303146     Document Type: Article

References (64)

1. Abrams, P. A. 1993. Effect of increased productivity on the abundances of trophic levels. American Naturalist 141:351-371.
2. Armstrong, R. A. 1979. Prey species replacement along a gradient of nutrient enrichment: a graphical approach. Ecology 60:76-84.
3. Arnold, D. E. 1971. Ingestion, assimilation, survival, and reproduction of Daphnia pulex fed seven species of blue-green algae. Limnology and Oceanography 16:906-920.
4. Berger, C. 1975. Occurrence of Oscillatoriacea agardhii Gom. in some shallow eutrophic lakes. Verhandlungen Internationale Vereinigung Theoretisch Angewandte Limnologie 19:2689-2697.
5. Boon, P. I., S. E. Bunn, J. D. Green, and R. J. Shiel. 1994. Consumption of cyanobacteria by freshwater zooplankton: implications for the success of "top-down" control of cyanobacterial blooms in Australia. Australian Journal of Marine and Freshwater Research 45:875-887.
6. Camerano, L. 1880. Dell'equilibrio dei viventi merce la reciproca distruzione. Accademia delle Scienze di Torino 15:393-414. (This work was translated into English by C. M. Jacobi and J. E. Cohen, trans., 1994. On the equilibrium of living beings by means of reciprocal destruction. Pages 360-380 in S. A. Levin, ed. Frontiers in mathematical biology.)
7. Camerano, L. 1880. Dell'equilibrio dei viventi merce la reciproca distruzione. Accademia delle Scienze di Torino 15:393-414. (This work was translated into English by C. M. Jacobi and J. E. Cohen, trans., 1994. On the equilibrium of living beings by means of reciprocal destruction. Pages 360-380 in S. A. Levin, ed. Frontiers in mathematical biology.)
8. Canfield, D. E., Jr., and C. E. I. Watkins. 1984. Relationships between zooplankton abundance and chlorophyll-a concentrations in Florida lakes. Journal of Freshwater Ecology 2:335-344.
9. Codd, G. A. 1995. Cyanobacterial toxins: occurrence, properties and biological significance. Water Science and Technology 32:149-156.
10. De Bernardi, R., and G. Giussani. 1990. Are blue-green algae a suitable food for zooplankton? an overview. Hydrobiologia 200/201:29-41.
11. Elser, J., T. H. Chrzanowski, R. W. Sterner, and K. H. Mills. 1998. Stochiometric constraints on food-web dynamics: a whole-lake experiment on the Canadian shield. Ecosystems 1:120-136.
12. Epp, G. T. 1996. Grazing on filamentous cyanobacteria by Daphnia pulicaria. Limnology and Oceanography 41:560-567.
13. Gilpin, M. E. 1979. Spiral chaos in a predator-prey model. American Naturalist 113:306-308.
14. Gliwicz, Z. M. 1990. Why do cladocerans fail to control algal blooms? Hydrobiologia 200/201:83-98.
15. Gliwicz, Z. M., and W. Lampert. 1990. Food thresholds in Daphnia species in the absence and presence of blue-green filaments. Ecology 71:691-702.
16. Hairston, N., F. E. Smith, and D. Slobodkin. 1960. Community structure, population control, and competition. American Naturalist 94:421-425.
17. Haney, J. F., D. J. Forsyth, and M. R. James. 1994. Inhibition of zooplankton filtering rates by dissolved inhibitors produced by naturally occurring cyanobacteria. Archiv für Hydrobiologie 132:1-13.
18. Hawkins, P., and W. Lampert. 1989. The effect of Daphnia body size on filtering rate inhibition in the presence of a filamentous cyanobacterium. Limnology and Oceanography 34:1084-1089.
19. Holt, R. D. 1977. Predation apparent competition and the structure of prey communities. Theoretical Population Biology 12:197-229.
20. -. 1984. Spatial heterogeneity, indirect interactions, and the coexistence of prey species. American Naturalist 124:377-406.
21. Holt, R. D., J. Grover, and D. Tilman. 1994. Simple rules for interspecific dominance in systems with exploitative and apparent competition. American Naturalist 144:741-771.
22. Hosper, S. H., and M. L. Meijer. 1993. Biomanipulation, will it work for your lake? a simple test for the assessment of chances for clear water, following drastic fish-stock reduction in shallow, eutrophic lakes. Ecological Engineering 63-72.
23. Huisman, J., and F. J. Weissing. 1994. Light-limited growth and competition for light in well-mixed aquatic environments: an elementary model. Ecology 75:507-520.
24. Khibnik, A. I., Y. A. Kuznetsov, V. V. Levitin, and E. V. Nikolaev. 1993. Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. Physica D 62:360-370.
25. Kirk, J. T. O. 1983. Light and photosynthesis in aquatic ecosystems. Cambridge University Press, Cambridge.
26. Klebanoff, A., and A. Hastings. 1994. Chaos in one-predator, two prey models: general results from bifurcation theory. Mathematical Biosciences 122:221-233.
27. Kretzschmar, M., R. M. Nisbet, and E. McCauley. 1993. A predator-prey model for zooplankton grazing on competing algal populations. Theoretical Population Biology 44:32-66.
28. Lammens, E. H. R. R. 1985. A test of a model for planktivorous filter feeding by bream Abramis brama. Environmental Biology of Fishes 13:289-296.
29. Lammens, E. H. R. R., H. W. DeNie, J. Vijverberg, and W. L. T. Densens. 1985. Resource partitioning and niche shifts of bream (Abramis brama) and eel (Anguilla anguilla) mediated by predation of smelt (Osmerus eperlanus) on Daphnia hyalina. Canadian Journal of Fisheries and Aquatic Sciences 42:1342-1351.
30. Leibold, M. A. 1989. Resource edibility and the effects of predators and productivity on the outcome of trophic interactions. American Naturalist 134:922-949.
31. -. 1996. A graphical model of keystone predators in food webs: trophic regulation of abundance, incidence, and diversity patterns in communities. American Naturalist 147:784-812.
32. Matsamura, T., and Y. Sakawa. 1980. Non-linear analysis of nitrogen cycle in aquatic ecosystems. International Journal of Systems Sciences 7:803-816.
33. Matveev, V., L. Matveeva, and G. J. Jones. 1994. Study of the ability of Daphnia carinata King to control phytoplankton and resist cyanobacterial toxicity: implications for biomanipulation in Australia. Australian Journal of Marine and Freshwater Research 45:889-904.
34. McCauley, E., and F. Briand. 1979. Zooplankton grazing and phytoplankton species richness: field tests of the predation hypothesis. Limnology and Oceanography 24:243-252.
35. Mills, E. L., and J. L. Forney. 1983. Impact on Daphnia pulex of predation by young yellow perch Perca flavescens in Oneida Lake, New York. Transactions of the American Fisheries Society 112:154-161.
36. Mur, L. R., H. J. Gons, and L. Van Liere. 1977a. Some experiments on competition between green-algae and blue-green bacteria in light-limited environments. Fems Microbiology Letters 1:335-338.
37. -. 1977b. Licht als regulerende factor bij het optreden van waterbloei van bet blauwwier Oscillatoria agardii. H20 10:309-313.
38. Noy-Meir, I. 1981. Theoretical dynamics of competitors under predation. Oecologia 50:277-284.
39. Oksanen, L., S. D. Fretwell, J. Arruda, and P. Niemela. 1981. Exploitation ecosystems in gradients of primary productivity. American Naturalist 118:240-261.
40. Pechar, L. 1992. Water blooms of Aphanizomenon flos aquae an ecological study of fish pond populations. Archiv für Hydrobiologie Supplementband 90:339-418.
41. Reinikainen, M., M. Ketola, and M. Walls. 1994. Effects of the concentrations of toxic Microcystis aeruginosa and an alternative food on the survival of Daphnia pulex. Limnology and Oceanography 39:424-432.
42. Reynolds, C. S. 1984. The ecology of freshwater phytoplankton. Cambridge University Press, Cambridge.
43. Riegman, R., and L. R. Mur. 1984. Theoretical considerations on growth kinetics and physiological adaptation of nutrient-limited phytoplankton. Archiv für Microbiologie 140:96-100.
44. Rose, E. T., and T. Moen. 1952. The increase in game-fish populations in east Okoboji Lake, Iowa, following intensive removal of rough fish. Transactions of the American Fisheries Society 82:104-114.
45. Rosenzweig, M. L. 1971. Paradox of enrichment: destabilization of exploitation ecosystems in ecological time. Science 171:385-387.
46. -. 1973. Exploitation in three trophic levels. American Naturalist 107:275-294.
47. Sarnelle, O. 1992. Nutrient enrichment and grazer effects on phytoplankton in lakes. Ecology 73:551-560.
48. -. 1993. Herbivore effects on phytoplankton succession in a eutrophic lake. Ecological Monographs 63:129-149.
49. Sas, H. 1989. Lake restoration by reduction of nutrient loading: expectations, experiences, extrapolations. Academia Verlag Richarz, St. Augustin.
50. Scavia, D., G. A. Lang, and J. F. Kitchell. 1988. Dynamics of Lake Michigan plankton: a model evaluation of nutrient loading competition and predation. Canadian Journal of Fisheries and Aquatic Sciences 45:165-177.
51. Scheffer, M. 1991. Fish and nutrients interplay determines algal biomass: a minimal model. Oikos 62:271-282.
52. -. 1998. Ecology of shallow lakes. Chapman & Hall, New York.
53. Scheffer, M., and R. J. De Boer. 1995. Implications of spatial heterogeneity for the paradox of enrichment. Ecology 76:2270-2277.
54. Scheffer, M., S. Rinaldi, A. Gragnani, L. R. Mur, and E. H. Van Nes. 1997a. On the dominance of filamentous cyanobacteria in shallow turbid lakes. Ecology 78:272-282.
55. Scheffer, M., S. Rinaldi, Y. A. Kuznetsov, and E. H. Van Nes. 1997b. Seasonal dynamics of Daphnia and algae explained as a periodically forced predator-prey system. Oikos 80:519-532.
56. Schindler, D. W. 1975. Whole-lake eutrophication experiments with phosphorus, nitrogen and carbon. Verhandlungen Internationale Vereinigung Theoretisch Angewandte Limnologie 19:3221-3231.
57. Smith, V. H. 1986. Light and nutrient effects on the relative biomass of blue-green algae in lake phytoplankton. Canadian Journal of Fisheries and Aquatic Sciences 43:148-153.
58. Sommer, U., Z. M. Gliwicz, W. Lampert, and A. Duncan. 1986. The Plankton Ecology Group model of seasonal succession of planktonic events in fresh waters. Archiv für Hydrobiologie 106:433-472.
59. Sterner, R. W., J. J. Elser, E. J. Fee, S. J. Guildford, and T. H. Chrzanowski. 1997. The light: nutrient ratio in lakes: the balance of energy and materials affects ecosystems structure and process. American Naturalist 150:663-684.
60. Takeuchi, Y., and N. Adachi. 1984. Existence and bifurcation of stable equilibrium in two prey one predator communities. Bulletin of Mathematical Biology 45:877-900.
61. Trimbee, A. M., and E. E. Prepas. 1987. Evaluation of total phosphorus as a predictor of the relative biomass of blue-green algae with emphasis on Alberta lakes. Canadian Journal of Fisheries and Aquatic Sciences 44: 1337-1342.
62. Van Liere, L., and L. R. Mur. 1979. Growth kinetics of Oscillatoria agardii in continuous culture limited in its growth by the light energy supply. Journal of General Microbiology 115:153-160.
63. Vance, R. R. 1978. Predation and resource partitioning in one predator-two prey model communities. American Naturalist 112:797-814.
64. Watson, S., E. McCauley, and J. A. Downing. 1992. Sigmoid relationships between phosphorus algal biomass and algal community structure. Canadian Journal of Fisheries and Aquatic Sciences 49:2605-2610.