Allee effects can both conserve and create spatial heterogeneity in population densities

Theoretical Population Biology

Volumn 56, Issue 3, 1999, Pages 231-242

  Gyllenberg, M ^a   Hemminki, J ^a   Tammaru, T ^a,b  

^a UNIVERSITY OF TURKU   (Finland)

^b ESTONIAN AGRICULTURAL UNIVERSITY   (Estonia)

Author keywords

[No Author keywords available]

Indexed keywords

ALLEE EFFECT; HETEROGENEITY; METAPOPULATION; MIGRATION; POPULATION DENSITY; POPULATION MODELING;

ANIMALIA;

EID: 0033401130     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1999.1430     Document Type: Article

References (44)

1. Ågren J. Population size, pollinator limitation, and seed set in the self-incompatible herb Lythrum salicaria. Ecology. 77:1996;1779-1790.
2. Allee W. C., Emerson A., Park O., Park T., Schmidt K. Principles of Animal Ecology. 1949;Saunders, Philadelphia.
3. Allison T. D. Pollen production and plant density affect pollination and seed production on Taxus canadensis. Ecology. 71:1990;516-522.
4. Amarasekare P. Interactions between local dynamics and dispersal: Insights from single species models. Theor. Popul. Biol. 53:1998;44-59.
5. Andrewartha H. G., Birch L. C. The Distribution and Abundance of Animals. 1954;University of Chicago Press, Chicago.
6. Asmussen M. Density-dependent selection. II. The Allee effect. Am. Nat. 114:1979;796-809.
7. Bernstein H., Byerly H. C., Hopf F. A., Michod R. E. Sex and the emergence of species. J. Theor. Biol. 117:1985;665-690.
8. Britton N. F. Aggregation and the competitive exclusion principle. J. Theor. Biol. 136:1989;57-66.
9. Britton N. F. Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model. SIAM J. Appl. Math. 50:1990;1663-1688.
10. Colas B., Olivieri I., Riba M. Centaurea corymbosa, a cliff dwelling species tottering on the brink of extinction: A demographical and genetic study. Proc. Acad. Sci. USA. 94:1997;3471-3476.
11. Dennis B. Allee effects: Population growth, critical density, and the chance of extinction. Nat. Res. Mod. 3:1989;1-58.
12. Feinsinger P., Tiebout H. M. III, Young B. E. Do tropical bird-pollinated plants exhibit density-dependent interactions? Field experiments. Ecology. 72:1991;1953-1963.
13. Fowler C. W., Baker J. D. A review of animal populations dynamics at extremely reduced population levels. Rep. Int. Whal. Comm. 41:1991;545-554.
14. Gerritsen J. Sex and parthenogenesis in sparse populations. Am. Nat. 115:1980;718-742.
15. Gruntfest Y., Arditi R., Dombrovsky Y. A fragmented population in a varying environment. J. Theor. Biol. 185:1997;539-547.
16. Hanski I., Kuussaari M., Nieminen M. Metapopulation structure and migration in the butterfly Melitaea cinxia. Ecology. 75:1994;747-762.
17. Heesterbeek J. A. P., Metz J. A. J. The saturating contact rate in marriage and epidemic models. J. Math. Biol. 31:1993;529-539.
18. Heliövaara K., Väisänen R., Simon C. Evolutionary ecology of periodical insects. TREE. 9:1994;475-480.
19. Holmes E. E., Lewis M. A., Banks J. E., Veit R. R. Partial differential equations in ecology: Spatial interactions and population dynamics. Ecology. 75:1994;17-29.
20. Holt R. D. Predation, apparent competition, and the structure of prey communities. Theor. Popul. Biol. 12:1977;197-229.
21. Holt R. D., Lawton J. H. The ecological consequences of shared natural ennemies. Annu. Rev. Ecol. Syst. 25:1994;459-520.
22. Hopf F. A., Hopf F. W. The role of the Allee effect in species packing. Theor. Popul. Biol. 27:1985;27-50.
23. Hopper K. R., Roush R. T. Mate finding, dispersal, number released, and the success of biological control introductions. Ecol. Entomol. 18:1993;321-331.
24. Kot M., Lewis M. A. Dispersal data and the spread of invading organisms. Ecology. 77:1996;2027-2042.
25. Kull K. The origin of species: A new view. Kull K., Tiivel T. Lectures in Theoretical Biology. 1988;73-77 Valgus, Tallinn.
26. Kunin W. E. Density and reproductive success in wild populations of Diplotaxis erucoidis (Brassicaceae). Oecologia. 91:1992;129-133.
27. Kunin W. E. Sex and single mustard: Population density and pollinator behaviour effects on seed-set. Ecology. 74:1993;2145-2160.
28. Kuussaari M., Nieminen M., Hanski I. An experimental study of migration in the Glanville fritillary butterfly Melitaea cinxia. J. Anim. Ecol. 65:1996;791-801.
29. Kuussaari M., Saccheri I., Camara M., Hanski I. Allee effect and population dynamics in the Glanville fritillary butterfly. Oikos. 82:1998;384-392.
30. Lamont B. B., Klinkhamer P. G. L., Witkowski E. T. F. Population fragmentation may reduce fertility to zero in Banksia goodii - A demonstration of the Allee effect. Oecologia. 94:1993;446-450.
31. Lei G., Hanski I. Metapopulation structure of Cotesia melitaearum, a specialist parasitoid of the butterfly Melitaea cinxia. Oikos. 78:1997;91-100.
32. Lei G., Hanski I. Spatial dynamics of two competing parasitoids in a host metapopulation. J. Anim. Ecol. 67:1998;422-433.
33. Levin S. A., Segel L. A. Pattern generation in space and aspect. SIAM Review. 27:1985;45-67.
34. Levitan D. R., Young C. M. Reproductive success in large populations: Empirical measures and theoretical predictions of fertilization in the sea biscuit Clypeaster rosaceus. J. Exp. Mar. Biol. Ecol. 190:1995;221-241.
35. Lewis M. A., Kareiva P. Allee dynamics and the spread of invading organisms. Theor. Popul. Biol. 43:1993;141-158.
36. Mikkola K. Alternative-year flight on northern Xestia species (Lepidoptera) and its adaptive significance. Ann. Ent. Fenn. 42:1976;191-199.
37. Murray J. D. Mathematical Biology. 1993;Springer-Verlag, Berlin.
38. Myers R. A., Barrowman N. J., Hutchings J. A., Rosenberg A. A. Population dynamics of exploited fish stocks at low population levels. Science. 269:1995;1106-1108.
39. Sæther B.-E., Ringsby T. H., Røskaft E. Life-history variation, population processes and priorities in species conservation: Towards a reunion of research paradigms. Oikos. 77:1996;217-226.
40. Silander J. W. Density-dependent control of reproductive success in Cassia Biflora. Biotropica. 10:1978;292-296.
41. Swart J., Lawes M. J., Perrin M. R. A mathematical model to investigate the demographic viability of low-density samango monkey (Cercopithecus mitis) populations in Natal, South Africa. Ecol. Model. 70:1994;289-303.
42. Veit R. R., Lewis M. A. Dispersal, population growth, and the Allee effect: Dynamics of the house invasion of eastern North America. Am. Nat. 148:1996;255-274.
43. Widen B. Demographic and genetic effects on reproduction as related to population size in a rare, perennial herb, Senecio integrifolius. Biol. J. Linnean Soc. 50:1993;179-195.
44. Wipking W., Mengelkoch C. Control of anternate-year flight activities in high-alpine Ringlet butterflies (Erebia, Satyridae) and Burnet moths (Zygaena, Zygaenidae) from temperate environments. Danks H. V. Insect Life-Cycle Polymorphism. 1994;313-347 Kluwer Academic, Dordrecht.