Park's Tribolium competition experiments: A non-equilibrium species coexistence hypothesis

Journal of Animal Ecology

Volumn 72, Issue 5, 2003, Pages 703-712

  Edmunds, Jeffrey ^a   Cushing, J M ^b   Costantino, R F ^c   Henson, Shandelle M ^d   Dennis, Brian ^e   Desharnais, R A ^f  

^a UNIVERSITY OF MARY WASHINGTON   (United States)

^b University of Arizona   (United States)

^c UNIVERSITY OF ARIZONA   (United States)

^d ANDREWS UNIVERSITY   (United States)

^e UNIVERSITY OF IDAHO   (United States)

^f CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

Competitive coexistence; Competitive exclusion; Flour beetle; Thomas Park

Indexed keywords

BEETLE; COEXISTENCE; COMPETITION (ECOLOGY); HYPOTHESIS TESTING;

COLEOPTERA; INSECTA; TENEBRIONIDAE;

EID: 0042697536     PISSN: 00218790     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-2656.2003.00743.x     Document Type: Article

References (52)

1. Benton, T.G., Lapsley, C.T. & Beckerman, A.P. (2002) The population response to environmental noise: population size, variance and correlation in an experimental system. Journal of Animal Ecology, 71, 320-332.
2. Bjornstad, O.N. & Grenfell, B.T. (2001) Noisy clockwork: time series analysis of population fluctuations in animals. Science, 293, 638-643.
3. Chesson, P. (1985) Coexistence of competitors in spatially and temporally varying environments: a look at the combined effects of different sorts of variability. Theoretical Population Biology, 28, 263-287.
4. Cole, L.C. (1960) Competitive exclusion. Science, 132, 348-349.
5. Costantino, R.F., Cushing, J.M., Dennis, B., Desharnais, R.A. & Henson, S.M. (1998) Resonant population cycles in temporally fluctuating habitats. Bulletin of Mathematical Biology, 60, 247-273.
6. Costantino, R.F. & Desharnais, R.A. (1991) Population Dynamics and the Tribolium Model: Genetics and Demography. Springer-Verlag, New York.
7. Costantino, R.F., Desharnais, R.A., Cushing, J.M. & Dennis, B. (1997) Chaotic dynamics in an insect population. Science, 275, 389-391.
8. Crowe, K.M. (1991) A discrete size-structured competition model. PhD Dissertation, Interdisciplinary Program in Applied Mathematics, University of Arizona, Tucson.
9. Cushing, J.M. (1980) Two species competition in a periodic environment. Journal of Mathematical Biology, 10, 385-400.
10. Cushing, J.M. (1983) Periodic Lotka-Volterra Systems and Time Sharing of Ecological Niches. Lecture Notes in Biomathematics, 52, pp. 342-348, Springer, Berlin.
11. Cushing, J.M. (1986) Periodic Lotka-Volterra competition equations. Journal of Mathematical Biology, 24, 381-403.
12. Cushing, J.M. (1998) An Introduction to Structured Population Dynamics. CBMS-NSF Regional Conference Series on Applied Mathematics, 71. SIAM, Philadelphia.
13. Cushing, J.M., Costantino, R.F., Dennis, B., Desharnais, R. A. & Henson, S.M. (2003) Chaos in Ecology: Experimental Nonlinear Dynamics. Academic Press, London.
14. Cushing, J.M., Dennis, B., Desharnais, R.A. & Costantino, R.F. (1998) Moving toward an unstable equilibrium: saddle nodes in population systems. Journal of Animal Ecology, 67, 298-306.
15. Cushing, J.M. & Saleem, M. (1984) A Competition Model with Age-Structure. Lecture Notes in Biomathematics, 54, pp. 178-192. pringer, Berlin.
16. Darwin, C. (1859) The Origin of Species. Mentor Book, New York [reprinted 1958].
17. Dennis, B., Desharnais, R.A., Gushing, J.M. & Costantino, R.F. (1995) Nonlinear demographic dynamics: mathematical models, statistical methods, and biological experiments. Ecological Monographs, 65, 261-281.
18. Dennis, B., Desharnais, R.A., Cushing, J.M. & Costantino, R.F. (1997) Transitions in population dynamics: equilibria to periodic cycles to aperiodic cycles. Journal of Animal Ecology, 66, 704-729.
19. Dennis, B., Desharnais, R.A., Cushing, J.M., Henson, S.M. & Costantino, R.F. (2001) Estimating chaos and complex dynamics in an insect population. Ecological Monographs, 71, 277-303.
20. Desharnais, R.A., Costantino, R.F, Gushing, J.M., Henson, S.M. & Dennis, B. (2001) Chaos and population control of insect outbreaks. Ecology Letters, 4, 229-235.
21. Edmunds, J. (2001) A study of a stage-structured model of two competing species. PhD Dissertation, University of Arizona, Tucson.
22. Freedman, H.I., So, J.H. & Waltman, P. (1989) Coexistence in a model of competition in the chemostat incorporating discrete delays. SIAM Journal of Mathematical Analysis, 49, 859-870.
23. Gause, G.F. (1934) The Struggle for Existence. Hafner Press, New York [reprinted 1964].
24. Grover, J.P. (1997) Resource Competition. Population and Community Biology Series 19. Chapman & Hall, New York, 1997.
25. Hardin, G. (1960) The competitive exclusion principle. Science, 131, 1292-1297.
26. Henson, S.M., Costantino, R.F, Gushing, J.M., Desharnais, R.A., Dennis, B. & King, A.A. (2001) Lattice effects observed in chaotic dynamics of experimental populations. Science, 294, 602-605.
27. Henson, S.M., Costantino, R.F., Desharnais, R.A., Cushing, J.M. & Dennis, B. (2002) Basins of attraction: population dynamics with two stable 4-cycles. Oikos, 98, 17-24.
28. Henson, S.M., Gushing, J.M., Costantino, R.F, Dennis, B. & Desharnais, R.A. (1998) Phase switching in population cycles. Proceedings of the Royal Society London B, 265, 2229-2234.
29. Huisman, J. & Weissing, F.J. (1999) Biodiversity of plankton by species oscillations and chaos, Nature, 402, 407-410.
30. Huisman, J & Weissing, F.J. (2001) Fundamental unpredictability in multispecies competition. American Naturalist, 157, 488-494.
31. King, A.A., Desharnais, R.A., Henson, S.M., Costantino, R.F., Cushing, J.M. & Dennis, B. (2002) Random perturbations and lattice effects in chaotic population dynamics. Science, 297, 2163a.
32. Koch, A.L. (1974) Competitive coexistence of two predators utilizing the same prey under constant environmental conditions. Journal of Theoretical Biology, 44, 378-386.
33. Leslie, P.H. & Gower, J.C. (1958) The properties of a stochastic model for two competing species. Biometrika, 45, 316-330.
34. Leslie, P.M., Park, T. & Mertz, D.B. (1968) The effect of varying the initial numbers on the outcome of competition between two Tribolium species. Journal of Animal Ecology, 37, 9-23.
35. Levins, R. (1979) Coexistence in a variable environment. American Naturalist, 114, 765-783.
36. Li, B. (2001) Periodic coexistence in the chemostat with three species competing for three essential resources. Mathematical Biosciences, 174, 27-40.
37. Loreau, M. & Ebenhoh, W. (1994) Competitive exclusion and coexistence of species with complex life cycles. Theoretical Population Biology, 46, 58-77.
38. May, R.M. (1974) Stability and Complexity in Model Ecosystems. Princeton University Press, Princeton, NJ.
39. McGehee, R. & Armstrong, R. (1977) Some mathematical problems concerning the ecological principle of competitive exclusion. Journal of Difference Equations, 23, 30-52.
40. de Mottoni, P. & Schiaffino, A. (1981) Competition systems with periodic coefficients: a geometric approach. Journal of Mathematical Biology, 11, 319-355.
41. Namba, T. (1984) Competitive co-existence in a seasonally fluctuating environment. Journal of Theoretical Biology, 111, 369-386.
42. Namba, T. (1986) Bifurcation phenomena appearing in the Lotka-Volterra competition equations: a numerical study. Mathematical Biosciences, 81, 191-212.
43. Namba, T. & Takahashi, S. (1993) Competitive coexistence in a seasonally fluctuating environment. II. Multiple stable states and invasion success. Theoretical Population Biology, 44, 374-402.
44. Park, T. (1948) Experimental studies of interspecies competition. I. Competition between populations of the flour beetles Tribolium confusum Duval and Tribolium castaneum Herbst. Ecological Monographs, 18, 265-308.
45. Park, T. (1954) Experimental studies of interspecies competition. II. Temperature, humidity and competition in two species of Tribolium. Physiological Zoology, 27, 177-238.
46. Park, T. (1957) Experimental studies of interspecies competition. III. Relation of initial species proportion to the competitive outcome in populations of Tribolium. Physiological Zoology, 30, 22-40.
47. Park, T., Leslie, P.H. & Mertz, D.B. (1964) Genetic strains and competition in populations of Tribolium. Physiological Zoology, 37, 97-162.
48. Park, T., Nathanson, M., Ziegler, J.R. & Mertz, D.B. (1970) Cannibalism of pupae by mixed-species populations of adult Tribolium. Physiological Zoology, 43, 166-184.
49. Simberloff, D. (1980) A succession of paradigms in ecology: Essentialism to materialism and probabilism. Synthese, 43, 3-39.
50. Smith, H.L. & Waltman, P (1995) The Theory of the Chemostat: Dynamics of Microbial Competition. Cambridge Studies in Mathematical Biology 13. Cambridge University Press, Cambridge.
51. Vandermeer, J.M.A., Evans, P., Foster, T., Ho, M., Reiskind & Wund M. (2002) Increased competition may promote species coexistence. Proceedings of the National Academy of Sciences USA, 99, 8731-8736.
52. Waltman, P. (1983) Competition Models in Population Biology. CBMS-NSF regional Conference Series in Applied Mathematics, 45. SIAM, Philadelphia.