Biological conditions for oscillations and chaos generated by multispecies competition

Ecology

Volumn 82, Issue 10, 2001, Pages 2682-2695

  Huisman, Jef ^a   Weissing, Franz J ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Biodiversity; Chaos; Complex dynamics; Heteroclinic cycle; Limit cycle; Multispecies competition models; Nutrient limitation; Phosphorus; Phytoplankton; Plant competition; Population dynamics; Resource competition; Silica

Indexed keywords

CHAOS THEORY; ECOLOGICAL MODELING; INTERSPECIFIC COMPETITION; OSCILLATION; VEGETATION DYNAMICS;

EID: 0034767335     PISSN: 00129658     EISSN: None     Source Type: Journal    
DOI: 10.1890/0012-9658(2001)082[2682:BCFOAC]2.0.CO;2     Document Type: Article

References (79)

1. Limiting similarity and the form of the competition coefficient
2. Population dynamics of systems with consumers that maintain a constant ratio of intake rates of two resources
3. Competitive exclusion
4. Strange attractors in Volterra equations for species in competition
5. Confirmation of iron limitation of phytoplankton photosynthesis in the Equatorial Pacific Ocean
6. 2-availability, carbonic anhydrase, and the annual dinoflagellate bloom in Lake Kinneret
7. Biomass, growth rates and limitation of equatorial Pacific diatoms
8. Competitive networks: Nontransitive competitive relationships in cryptic coral reef environments
9. Multispecies competition in variable environments
10. Effects of iron, manganese, copper, and zinc enrichments on productivity and biomass in the Subarctic Pacific
11. About the theory of competing species
12. Importance of iron for plankton blooms and carbon dioxide drawdown in the Southern Ocean
13. Competition between a prochlorophyte and a cyanobacterium under various phosphorus regimes: Comparison with the Droop model
14. Phosphorus and nitrogen limitation of phytoplankton growth in the freshwaters of North America: A review and critique of experimental enrichments
15. The response of phytoplankton communities to phosphorus input reduction in mesocosm experiments
16. Spatial and temporal variation of resource limitation in Chesapeake Bay
17. Limit cycles in competition communities
18. Spiral chaos in a predator-prey model
19. Effects of cobalt and vitamin B-12 on the growth of Chrysochromulina polylepis (Prymnesiophyceae)
20. Phosphorus-dependent growth kinetics of 11 species of freshwater algae
21. Resource competition in a variable environment: Phytoplankton growing according to Monod's model
22. Resource competition in a variable environment: Phytoplankton growing according to the variable-internal-stores model
23. Dynamics of competition among microalgae in variable environments: Experimental tests of alternative models
24. Role of nutrient limitation and competition in controlling the populations of Asterionella formosa and Microcystis aeruginosa in semicontinuous culture
25. Exploitative competition of microorganisms for two complementary nutrients in continuous cultures
26. A mathematical theory for single-nutrient competition in continuous cultures of microorganisms
27. Competition for light between phytoplankton species: Experimental tests of mechanistic theory
28. Biodiversity of plankton by species oscillations and chaos
29. Coexistence and resource competition
30. Fundamental unpredictability in multispecies competition
31. Permanent coexistence in general models of three interacting species
32. Photoinhibition and the availability of inorganic carbon restrict photosynthesis by surface blooms of cyanobacteria
33. Silicon and phosphorus growth kinetics and competitive interactions between Stephanodiscus minutus and Synedra sp
34. Dynamics of Lake Michigan natural phytoplankton communities in continuous cultures along a Si:P loading gradient
35. Phosphate and silicate kinetics for the Lake Michigan diatom Diatoma elongatum
36. Carbon availability and the pattern of cyanobacterial dominance in enriched low-carbon lakes
37. Cadmium: A nutrient for the marine diatom Thalassiosira weissflogii
38. Competition between two species for two complementary or substitutable resources
39. Coexistence in a variable environment
40. The growth of mixed populations: Two species competing for a common food supply
41. Coexistence and resource competition
42. Influence of N substrate on Fe requirements of marine centric diatoms
43. Testing the iron hypothesis in ecosystems of the equatorial Pacific Ocean
44. Nonlinear aspects of competition between three species
45. La technique de culture continue, théorie et applications
46. Zinc and carbon co-limitation of marine phytoplankton
47. Antigenic oscillations and shifting immunodominance in HIV-1 infections
48. Chaos and the evolution of cooperation
49. Iron and nitrogen nutrition of equatorial Pacific plankton
50. Laboratory experiments with a mixotrophic chrysophyte and obligately phagotrophic and phototrophic competitors
51. Siliceous scale production in chrysophyte and synurophyte algae. I. Effects of silica-limited growth on cell silica content, scale morphology, and the construction of the scale layer of Synura petersenii
52. Alternatives to Lotka-Volterra competition: Models of intermediate complexity
53. The rock-paper-scissors game and the evolution of alternative male strategies
54. On the differential equations of species in competition
55. Comparison between steady state and non-steady state competition: Experiments with natural phytoplankton
56. Nitrate- and silicate-competition among Antarctic phytoplankton
57. The species composition of Antarctic phytoplankton interpreted in terms of Tilman's competition theory
58. Nutrient status and nutrient competition of phytoplankton in a shallow, hypertrophic lake
59. A comparison of the Droop and the Monod models of nutrient limited growth applied to natural populations of phytoplankton
60. Phytoplankton competition in Plußsee: A field test of the resource-ratio hypothesis
61. Heteroclinic cycles and segregation distortion
62. Seasonal and spatial patterns in macro- and micronutrient limitation in Joe Pool Lake, Texas
63. Partitioning of resources and the outcome of interspecific competition: A model and some general considerations
64. Micronutrient and phosphorus limitation of phytoplankton abundance in Gem Lake, Sierra Nevada, California
65. Theoretical studies on the coexistence of competing species under continuous-flow conditions
66. Resource competition between planktonic algae: An experimental and theoretical approach
67. Resources: A graphical-mechanistic approach to competition and predation
68. Tests of resource competition theory using four species of Lake Michigan algae
69. Resource competition and community structure
70. The importance of the mechanisms of interspecific interaction
71. Competition and nutrient kinetics along a temperature gradient: An experimental test of a mechanistic approach to niche theory
72. Iron-mediated effects on nitrate reductase in marine phytoplankton
73. Loose coupling of predator-prey cycles: Entrainment, chaos, and intermittency in the classic MacArthur consumer-resource equations
74. Temperature effects on silicon- and phosphorus-limited growth and competitive interactions among three diatoms
75. Variations and fluctuations of the number of individuals in animal species living together
76. Die organische chemie in ihrer anwendung auf agrikultur und physiologie
77. Evolutionary stability and dynamic stability in a class of evolutionary normal form games