Understanding rapid evolution in predator-prey interactions using the theory of fast-slow dynamical systems

American Naturalist

Volumn 176, Issue 5, 2010, Pages

  Cortez, Michael H ^a   Ellner, Stephen P ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

Coevolution; Ecoevolutionary dynamics; Fast slow dynamics; Predator prey

Indexed keywords

ABUNDANCE; BIOACCUMULATION; COEVOLUTION; NUMERICAL MODEL; PREDATOR-PREY INTERACTION; QUALITATIVE ANALYSIS; SPATIAL DISTRIBUTION; TIMESCALE;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; EVOLUTION; POPULATION DENSITY; POPULATION DYNAMICS; PREDATION; TIME;

ANIMALS; BIOLOGICAL EVOLUTION; MODELS, BIOLOGICAL; POPULATION DENSITY; POPULATION DYNAMICS; PREDATORY BEHAVIOR; TIME FACTORS;

EID: 78349283030     PISSN: 00030147     EISSN: None     Source Type: Journal    
DOI: 10.1086/656485     Document Type: Article

References (50)

1. Abrams, P. A. 1992. Adaptive foraging by predators as a cause of predator-prey cycles. Evolutionary Ecology 6:56-72.
2. -. 2001. Modelling the adaptive dynamics of traits involved in inter- and intraspecific interactions: an assessment of three models. Ecology Letters 4:166-175.
3. -. 2005. "Adaptive Dynamics" vs. "adaptive dynamics." Journal of Evolutionary Biology 18:1162-1165.
4. Abrams, P. A., and H. Matsuda. 1997a. Fitness minimization and dynamic instability as a consequence of predator-prey coevolution. Evolutionary Ecology 11:1-20.
5. -. 1997b. Prey adaptation as a cause of predator-prey cycles. Evolution 51:1742-1750.
6. Abrams, P. A., H. Matsuda, and Y. Harada. 1993. Evolutionarily unstable fitness maxima and stable fitness minima of continuous traits. Evolutionary Ecology 7:465-487.
7. Arnold, L., C. K. R. T. Jones, K. Mischaikow, and G. Raugel. 1995. Geometric singular perturbation theory. Pages 44-188 in R. Johnson, ed. Dynamical systems. Vol. 1609. Lecture Notes in Mathematics. Springer, Berlin.
8. Bailey, J. K., J. A. Schweitzer, F. Ubeda, J. Koricheva, C. J. LeRoy, M. D. Madritch, B. J. Rehill, et al. 2009. From genes to ecosystems: a synthesis of the effects of plant genetic factors across levels of organization. Philosophical Transactions of the Royal Society B: Biological Sciences 364:1607-1616.
9. Bohannan, B. J. M., and R. E. Lenski. 2000. Linking genetic change to community evolution: insights from studies of bacteria and bacteriophage. Ecology Letters 3:362-377.
10. Bulmer, M. G. 1975. Phase relations in the ten-year cycle. Journal of Animal Ecology 44:609-621.
11. Conover, D. O., and S. B. Munch. 2002. Sustaining fisheries yields over evolutionary time scales. Science 297:94-96.
12. Dercole, F., R. Ferriere, A. Gragnani, and S. Rinaldi. 2006. Coevolution of slow-fast populations: evolutionary sliding, evolutionary pseudo-equilibria and complex Red Queen dynamics. Proceedings of the Royal Society B: Bioligcal Sciences 273:983-990.
13. Earn, D. J. D., J. Dushoff, and S. A. Levin. 2002. Ecology and evolution of the flu. Trends in Ecology & Evolution 17:334-340.
14. Ezard, T. H. G., S. D. Cote, and F. Pelletier. 2009. Eco-evolutionary dynamics: disentangling phenotypic, environmental and population fluctuations. Philosophical Transactions of the Royal Society B: Biological Sciences 364:1491-1498.
15. Fussmann, G. F., S. P. Ellner, K. W. Shertzer, and N. G. Hairston Jr. 2000. Crossing the Hopf bifurcation in a live predator-prey system. Science 290:1358-1360.
16. Fussmann, G. F., M. Loreau, and P. A. Abrams. 2007. Eco-evolutionary dynamics of communities and ecosystems. Functional Ecology 21:465-477.
17. Gandon, S., and T. Day. 2007. The evolutionary epidemiology of vaccination. Journal of the Royal Society Interface 4:803-817.
18. Grant, P. R., and B. R. Grant. 2002. Unpredictable evolution in a 30-year study of Darwin's finches. Science 296:707-711.
19. Grenfell, B. T., O. G. Pybus, J. R. Gog, J. L. N. Wood, J. M. Daly, J. A. Mumford, and E. C. Holmes. 2004. Unifying the epidemiological and evolutionary dynamics of pathogens. Science 303:327-332.
20. Hairston, N. G., Jr., and T. A. Dillon. 1990. Fluctuating selection and reponse in a population of freshwater copepods. Evolution 44: 1796-1805.
21. Hairston, N. G., Jr., and W. E. Walton. 1986. Rapid evolution of a life history trait. Proceedings of the National Academy of Sciences of the USA 83:4831-4833.
22. Hairston, N. G., Jr., W. Lampert, C. E. Caceres, C. L. Holtmeier, L. J. Weider, U. Gaedke, J. M. Fischer, J. A. Fox, and D. M. Post. 1999. Rapid evolution revealed by dormant eggs. Nature 401:446.
23. Hanski, I., and I. Saccheri. 2006. Molecular-level variation affects population growth in a butterfly metapopulation. PLoS Biology 4: 719-726.
24. Heath, D. D., J. W. Heath, C. A. Bryden, R. M. Johnson, and C. W. Fox. 2003. Rapid evolution of egg size in captive salmon. Science 299:1738-1740.
25. Johnson, M. T. J., M. Vellend, and J. R. Stinchcombe. 2009. Evolution in plant populations as a driver of ecological changes in arthropod communities. Philosophical Transactions of the Royal Society B: Biological Sciences 364:1593-1605.
26. Jones, L. E., and S. P. Ellner. 2007. Effects of rapid prey evolution on predator-prey cycles. Journal of Mathematical Biology 55:541-573.
27. Jones, L. E., L. Becks, S. P. Ellner, N. G. Hairston Jr., T. Yoshida, and G. F. Fussmann. 2009. Rapid contemporary evolution and clonal food web dynamics. Philosophical Transactions of the Royal Society B: Biological Sciences 364:1579-1591.
28. Khibnik, A. I., and A. S. Kondrashov. 1997. Three mechanisms of Red Queen dynamics. Philosophical Transactions of the Royal Society B: Biological Sciences 264:1049-1056.
29. Kinnison, M. T., and N. G. Hairston Jr. 2007. Eco-evolutionary conservation biology: contemporary evolution and dynamics of persistence. Functional Ecology 21:444-454.
30. Kinnison, M. T., M. J. Unwin, and T. P. Quinn. 2008. Eco-evolutionary vs. habitat contributions to invasion in salmon: experimental evaluation in the wild. Molecular Ecology 17:405-414.
31. Lande, R. 1982. A quantitative genetic theory of life history evolution. Ecology 63:607-615.
32. Law, R., P. Marrow, and U. Dieckmann. 1997. On evolution under asymmetric competition. Evolutionary Ecology 11:485-501.
33. Meyer, J. R., S. P. Ellner, N. G. Hairston Jr., L. E. Jones, and T. Yoshida. 2006. Prey evolution on the time scale of predator-prey dynamics revealed by allele-specific quantitative PCR. Proceedings of the National Academy of Sciences of the USA 103:10690-10695.
34. Palkovacs, E. P., M. C. Marshall, B. A. Lamphere, B. R. Lynch, D. J. Weese, D. F. Fraser, D. N. Reznick, C. M. Pringle, and M. T. Kinnison. 2009. Experimental evaluation of evolution and coevolution as agents of ecosystem change in Trinidadian streams. Philosophical Transactions of the Royal Society B: Biological Sciences 364:1617-1628.
35. Palumbi, S. R. 2001. Humans as the world's greatest evolutionary force. Science 293:1786-1790.
36. Parvinen, K. 2005. Evolutionary suicide. Acta Biotheoretica 53:241-264.
37. Pelletier, F., T. Clutton-Brock, J. Pemberton, S. Tuljapurkar, and T. Coulson. 2007. The evolutionary demography of ecological change: linking trait variation and population growth. Science 315:1571-1574.
38. Post, D. M., and E. P. Palkovacs. 1997. Eco-evolutionary feedbacks in community and ecosystems ecology: interactions between the ecological theatre and the evolutionary play. Philosophical Transactions of the Royal Society B: Biological Sciences 364:1629-1640.
39. Reznick, D. N., F. H. Shaw, F. H. Rodd, and R. G. Shaw. 1997. Evaluation of the rate of evolution in natural populations of guppies (Poecilia reticulata). Science 275:1934-1937.
40. Reznick, D. N., C. K. Ghalambor, and K. Crooks. 2008. Experimental studies of evolution in guppies: a model for understanding the evolutionary consequences of predator removal in natural communities. Molecular Ecology 17:97-107.
41. Rosenzweig, M. L., and R. H. MacArthur. 1963. Graphical representation and stability conditions of predator-prey interactions.American Naturalist 47:209-223.
42. Saccheri, I., and I. Hanski. 2006. Natural selection and population dynamics. Trends in Ecology & Evolution 21:341-347.
43. Sinervo, B., E. Svensson, and T. Comendant. 2000. Density cycles and an offspring quantity and quality game driven by natural selection. Nature 406:985-988.
44. Swain, D. P., A. F. Sinclair, and J. M. Hanson. 2007. Evolutionary response to size-selective mortality in an exploited fish population. Proceedings of the Royal Society B: Biological Sciences 274:1015-1022.
45. Tuda, M. 1998. Evolutionary character changes and population responses in an insect host-parasitoid experimental system. Researches on Population Ecology 40:293-299.
46. Vos, M., B. W. Kooi, D. L. DeAngelis, and W. M. Mooij. 2004. Inducible defences and the paradox of enrichment. Oikos 105: 471-480.
47. Webb, C. 2003. A complete classification of Darwinian extinction in ecological interactions. American Naturalist 161:181-205.
48. Yoshida, T., S. P. Ellner, L. E. Jones, B. J. M. Bohannan, R. E. Lenski, and N. G. Hairston Jr. 2007. Cryptic population dynamics: rapid evolution masks trophic interactions. PLoS Biology 5:1-12.
49. Yoshida, T., N. G. Hairston Jr., and S. P. Ellner. 2004. Evolutionary trade-off between defence against grazing and competitive ability in a simple unicellular alga. Proceedings of the Royal Society B: Biological Sciences 271:1947-1953.
50. Yoshida, T., L. E. Jones, S. P. Ellner, G. F. Fussmann, and N. G. Hairston Jr. 2003. Rapid evolution drives ecological dynamics in a predator-prey system. Nature 424:303-306.