Consequences of the allee effect and intraspecific competition on population persistence under adverse environmental conditions

Bulletin of Mathematical Biology

Volumn 70, Issue 2, 2008, Pages 412-437

  Petrovskii, Sergei ^a   Blackshaw, Rod ^b   Li, Bai Lian ^c  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

^b UNIVERSITY OF PLYMOUTH   (United Kingdom)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Aggression; Allee effect; Behaviour; Hierarchy; Intraspecific competition; Persistence; Structured population

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMPETITIVE BEHAVIOR; ECOSYSTEM; ETHNIC AND RACIAL GROUPS; EVOLUTION; HUMAN; POPULATION DENSITY; POPULATION DYNAMICS; POPULATION GROWTH; PREDATION; SOCIAL DOMINANCE; SPECIES EXTINCTION; STATISTICAL MODEL;

ANIMALS; COMPETITIVE BEHAVIOR; DOMINANCE-SUBORDINATION; ECOSYSTEM; EVOLUTION; EXTINCTION, BIOLOGICAL; HUMANS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; POPULATION CONTROL; POPULATION DENSITY; POPULATION GROUPS; POPULATION GROWTH; PREDATORY BEHAVIOR;

EID: 38349144376     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-007-9262-5     Document Type: Article

References (59)

1. Allee, W.C., 1938. The Social Life of Animals. Norton and Co., New York.
2. Anderson, W.W., Watanabe, T.K., 1997. A demographic approach to selection. Proc. Natl. Acad. Sci. USA 94, 7742-7747.
3. Appleby, D.L., Bradshaw, J.W.S., Casey, R.A., 2002. Relationship between aggressive and avoidance behaviour by dogs and their experience in the first six months of life. Vet. Rec. 150, 434-441.
4. Bazykin, A.D., 1998. Nonlinear Dynamics of Interacting Populations. World Scientific, Singapore.
5. Berryman, A.A., 1981. Population Systems: A General Introduction. Plenum, New York.
6. Budaev, S.V., 1997. "Personality" in the guppy (Poecilia reticulata): a correlation study of exploratory behavior and social tendency. J. Comp. Psychol. 111, 399-411.
7. Carter, J.B., 1973. The mode of transmission of tipula iridescent virus. J. Invert. Pathol. 21, 123-130.
8. Caubet, Y., Jaisson, P., Lenoir, A., 1992. Preimaginal induction of adult behavior in insects. Q. J. Exp. Psychol. B 44, 165-178.
9. Chambon-Dubreuil, E., Auger, P., Gaillard, J.-M., Khaladi, M., 2006. Effect of aggressive behaviour on age-structured population dynamics. Ecol. Model. 193, 777-786.
10. Charlesworth, B., 1972. Selection in populations with overlapping generations. III. Conditions for genetic equilibrium. Theor. Popul. Biol. 3, 377-395.
11. Clark, C.W., 1993. Dynamic models of behavior: an extension of life history theory. TREE 8, 205-209.
12. Coleman, K., Wilson, D.S., 1998. Shyness and boldness in pumpkinseed sunfish: individual differences are context-specific. Anim. Behav. 56, 927-936.
13. Courchamp, F., Clutton-Brock, T., Grenfell, B., 1999. Inverse density dependence and the Allee effect. TREE 14, 405-410.
14. Cushing, J., 1998. An Introduction to Structured Population Dynamics. SIAM, Philadelphia.
15. Dennis, B., 1989. Allee effects: population growth, critical density, and the chance of extinction. Nat. Res. Mod. 3, 481-538.
16. Deredec, A., Courchamp, F., 2003. Extinction thresholds in host-parasite dynamics. Ann. Zool. Fenn. 40, 115-130.
17. Dingemanse, N.J., Both, C., Drent, P.J., Van Oers, K., Van Noordwijk, A.J., 2002. Repeatability and heritability of exploratory behaviour in great tits from the wild. Anim. Behav. 64, 929-938.
18. Dukas, R., Duan, J.J., 2000. Potential fitness consequences of associative learning in a parasitoid wasp. Behav. Ecol. 11, 536-543.
19. Foster, W.A., 1996. Duelling aphids: intraspecific fighting in Astegopteryx minuta. Anim. Behav. 51, 645-655.
20. Freeman, L.C., Freeman, S.C., Romney, A.K., 1992. The implications of social structure for dominance hierarchies in red deer, Cervus elaphus L. Anim. Behav. 44, 239-245.
21. Goldizen, A.W., Goldizen, A.R., Devlin, T., 1993. Unstable social structure associated with a population crash in the Tasmanian native hen, Tribonyx mortierii. Anim. Behav. 46, 1013-1016.
22. Grimm, V., Wissel, C., 1997. Babel, or the ecological stability discussion: an inventory and analysis of terminology and a guide for avoiding confusion. Oecologia 109, 323-334.
23. Hastings, A., Godfray, H.C.J., 1999. Learning, host fidelity, and the stability of host-parasitoid communities. Am. Nat. 153, 295-301.
24. Hofbauer, J., Sigmund, K., 1988. The Theory of Evolution and Dynamical Systems. Cambridge University Press, Cambridge.
25. Hopf, F.A., Hopf, F.W., 1985. The role of the Allee effect in species packing. Theor. Popul. Biol. 27, 27-60.
26. Houston, A., Clark, C., McNamara, J., Mangel, M., 1988. Dynamic models in behavioural and evolutionary ecology. Nature 332, 29-34.
27. Iguchi, K., Matsubara, N., Hakoyama, H., 2001. Behavioural individuality assessed from two strains of cloned fish. Anim. Behav. 61, 351-356.
28. Lande, R., 1993. Risks of population extinction from demographic and environmental stochasticity and random catastrophes. Am. Nat. 142, 911-922.
29. Lawton, J.H., May, R.M., eds., 1995. Extinction Rates. Oxford University Press, Oxford.
30. Lewis, M.A., Kareiva, P., 1993. Allee dynamics and the spread of invading organisms. Theor. Popul. Biol. 43, 141-158.
31. Lomnicki, A., 1988. Population Ecology of Individuals. Monographs in Population Biology, vol. 25. Princeton University Press, Princeton.
32. Mather, J.A., Anderson, R.C., 1993. Personalities of octopuses (Octopus rubescans). J. Compar. Psychol. 107, 336-340.
33. Maynard Smith, J., Price, G.P., 1973. The logic of animal conflict. Nature 246, 15-18.
34. Metz, J.A.J., Diekmann, O., 1986. The Dynamics of Physiologically Structured Populations. Lecture Notes in Biomathematics, vol. 68. Springer, Berlin.
35. Moehlman, P., 1989. Intraspecific variation in canid social systems. In: Gittleman, J.L. (Ed.), Carnivore Behavior, Ecology and Evolution, pp. 143-163. Cornell University Press, Ithaca.
36. Morris, R.J., Fellowes, M.D.E., 2002. Learning and natal host influence host preference, handling time and sex allocation behaviour in a pupal parasitoid. Behav. Ecol. Sociobiol. 51, 386-393.
37. Mullon, C., Freon, P., Cury, P., 2005. The dynamics of collapse in world fisheries. Fish Fish. 6, 111-120.
38. Owen, M.R., Lewis, M.A., 2001. How predation can slow, stop or reverse a prey invasion. Bull. Math. Biol. 63, 655-684.
39. Petrovskii, S.V., Blackshaw, R.P., 2003. Behaviourally structured populations persist longer under harsh environmental conditions. Ecol. Lett. 6, 455-462.
40. Poppy, G.M., Powell, W., Pennacchio, F., 1997. Aphid parasitoid responses to semiochemicals-genetic, conditioned or learnt? Entomophaga 42, 193-199.
41. Peterson, C.H., Irlandi, E.A., Black, R., 1994. The crash in suspension-feeding bivalve populations (Katelysia spp.) in Princess Royal Harbour: an unexpected consequence of eutrophication. J. Exp. Mar. Biol. Ecol. 176, 39-52.
42. Rankin, C.H., 2002. From gene to identified neuron to behaviour in Caenorhabditis elegans. Nat. Rev. Gen. 3, 622-630.
43. Reale, D., Gallant, B.Y., Leblanc, M., Festa-Bianchet, M., 2000. Consistency of temperament in bighorn ewes and correlates with behaviour and life history. Anim. Behav. 60, 589-597.
44. Richards, M.H., Packer, L., 1996. The socioecology of body size variation in the primitively eusocial bee, Halictus ligatus (Hymenoptera: Halictidae). Oikos 77, 68-76.
45. Sapolsky, R.M., 2005. The influence of social hierarchy on primate health. Science 308, 648-652.
46. Savolainen, R., Vepsalainen, K., 1988. A competition hierarchy among boreal ants: impact on resource partitioning and community structure. Oikos 51, 135-155.
47. Schwailbold, U., Pillay, N., 2001. Stereotypic behaviour is genetically transmitted in the African striped mouse Rhabdomys pumilio. Appl. Anim. Behav. Sci. 74, 273-280.
48. Shigesada, N., Kawasaki, K., Teramoto, E., 1984. The effects of interference competition on stability, structure and invasion of a multi-species system. J. Math. Biol. 21, 97-113.
49. Sinn, D.L., Perrin, N.A., Mather, J.A., Anderson, R.C., 2001. Early temperament traits in an octopus (octopus bimaculoides). J. Compar. Psychol. 115, 351-364.
50. Stephens, P.A., Sutherland, W.J., 1999. Consequences of the Allee effect for behaviour, ecology and conservation. TREE 14, 401-405.
51. Svirezhev, Y.M., Logofet, D.O., 1983. Stability of Biological Communities. Mir, Moscow.
52. Tandon, K., McGuffin, P., 2002. The genetic basis for psychiatric illness in man. Eur. J. Neurosci. 16, 403-407.
53. Thieme, H., 2003. Mathematics in Population Biology. Princeton University Press, Princeton.
54. Villafuerte, R., Vinuela, J., Blanco, J.C., 1998. Extensive predator persecution caused by population crash in a game species: the case of red kites and rabbits in Spain. Biol. Conserv. 84, 181-188.
55. Volkl, W., 2001. Parasitoid learning during interactions with ants: how to deal with an aggressive antagonist. Behav. Ecol. Sociobiol. 49, 135-144.
56. Vos, M., Kooi, B.W., DeAngelis, D.L., Mooij, W.M., 2004. Inducible defences and the paradox of enrichment. Oikos 105, 471-480.
57. Volpert, A.I., Volpert, V.A., Volpert, V.A., 1994. Traveling Wave Solutions of Parabolic Systems. AMS, Providence.
58. Wielebnowski, N.C., 1999. Behavioral differences as predictors of breeding status in captive cheetahs. Zoo Biol. 18, 335-349.
59. Wilson, E.O., 1971. The Insect Societies. Belknap Press, Cambridge.