The geometry of transient crashes and their dependence on demographic rates

Theoretical Population Biology

Volumn 73, Issue 2, 2008, Pages 300-306

  Wright, R W ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Community assembly; Invasions; Time scales; Transient dynamics

Indexed keywords

COEXISTENCE; DEMOGRAPHY; EXPERIMENTAL STUDY; INVASIVE SPECIES; POPULATION DENSITY;

ANIMAL; ARTICLE; DEMOGRAPHY; ECOSYSTEM; PREDATION; SPECIES EXTINCTION; STATISTICAL MODEL; THEORETICAL MODEL;

ANIMALS; DEMOGRAPHY; ECOSYSTEM; EXTINCTION, BIOLOGICAL; MODELS, STATISTICAL; MODELS, THEORETICAL; PREDATORY BEHAVIOR;

EID: 39149091695     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2007.11.008     Document Type: Article

References (23)

1. Abrams P.A. Is predator-mediated coexistence possible in unstable systems?. Ecology 80 2 (1999) 608-621
2. Bonsall M.B., and Hassell M.P. Population dynamics of apparent competition in a host-parasitoid assemblage. J. Anim. Ecol. 67 (1998) 918-929
3. Courchamp F., Clutton-Brock T., and Grenfell B. Inverse density dependence and the Allee effect. Trends Ecol. Evol. 14 10 (1999) 405-410
4. Drake J.A. Communities as assembled structures: Do rules govern pattern?. Trends Ecol. Evol. 5 10 (1990) 159-164
5. Drake J.M. Allee effects and the risk of biological invasion. Risk Anal. 24 4 (2004) 795-802
6. Fok A.K., and Allen R.D. Axenic Paramecium caudatum. I. Mass culture and structure. J. Protozool. 26 3 (1979) 463-470
7. Gilpin M.E. Limit cycles in competition communities. Am. Nat. 109 965 (1975) 51-60
8. Hastings A. Transients: the key to long-term ecological understanding?. Trends Ecol. Evol. 19 1 (2004) 39-45
9. Hastings A., Serradilla J.M., and Ayala F.J. Boundary-layer model for the population dynamics of single species. Proc. Natl. Acad. Sci. USA 78 3 (1981) 1972-1975
10. Holt R.D., and Hochberg M.E. Indirect interactions, community modules and biological control: A theoretical perspective. In: Wajnberg E., Scott J.K., and Quimby P.C. (Eds). Evaluating Indirect Ecological Effects of Biological Control (2001), CABI International 13-37 (Chapter 2)
11. Holyoak M., and Lawler S.P. Persistence of an extinction-prone predator-prey interaction through metapopulation dynamics. Ecology 77 6 (1996) 1867-1879
12. Huisman J., and Weissing F.J. Biological conditions for oscillations and chaos generated by multispecies competition. Ecology 82 10 (2001) 2682-2695
13. Huisman J., and Weissing F.J. Oscillations and chaos generated by competition for interactively essential resources. Ecol. Res. 17 (2002) 175-181
14. Ludwig D., Jones D.D., and Holling C.S. Qualitative analysis of insect outbreak systems: the spruce budworm and forest. J. Anim. Ecol. 47 1 (1978) 315-332
15. McCann K., and Yodzis P. Nonlinear dynamics and population disappearances. Am. Nat. 144 5 (1994) 873-879
16. Meyer R.R., Boyd C.R., Rein D.C., and Keller S.J. Effects of ethidium bromide on growth and morphology of Tetrahymena pyriformis. Exp. Cell. Res. 70 1 (1972) 233-237
17. Noonburg E.G., and Abrams P.A. Transient dynamics limit the effectiveness of keystone predation in bringing about coexistence. Am. Nat. 165 3 (2005) 322-335
18. Rinaldi S., and Scheffer M. Geometric analysis of ecological models with slow and fast processes. Ecosystems 3 6 (2000) 507-521
19. Scheffer M., and Carpenter S.R. Catastrophic regime shifts in ecosystems: Linking theory to observation. Trends Ecol. Evol. 18 12 (2003) 648-656
20. Stephens P.A., and Sutherland W.J. Consequences of the Allee effect for behaviour, ecology, and conservation. Trends Ecol. Evol. 14 10 (1999) 401-405
21. Tikhonov A.N. Systems of differential equations containing small parameters multiplying some of the derivatives. Mat. Sb. 31 73 (1952) 575-586
22. Turchin P. Does population ecology have general laws?. Oikos 94 1 (2001) 17-26
23. Warren P.H., Law R., and Weatherby A.J. Mapping the assembly of protist communities in microcosms. Ecology 84 4 (2003) 1001-1011