A multilocus-multiallele analysis of frequency-dependent selection induced by intraspecific competition

Journal of Mathematical Biology

Volumn 52, Issue 4, 2006, Pages 483-523

  Schneider, Kristan A ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Density dependent selection; Directional selection; Frequency dependent selection; Gradient system; Intraspecific competition; Linkage equilibrium; Stabilizing selection; Weak selection approximation

Indexed keywords

ALLELE; ANIMAL; ARTICLE; BIOLOGICAL MODEL; DIPLOIDY; DOMINANT GENE; GENE LINKAGE DISEQUILIBRIUM; GENETIC LINKAGE; GENETIC SELECTION; GENETIC VARIABILITY; GENETICS; POPULATION DENSITY; POPULATION GENETICS; QUANTITATIVE TRAIT LOCUS;

ALLELES; ANIMALS; DIPLOIDY; GENES, DOMINANT; GENETICS, POPULATION; LINKAGE (GENETICS); LINKAGE DISEQUILIBRIUM; MODELS, GENETIC; POPULATION DENSITY; QUANTITATIVE TRAIT LOCI; SELECTION (GENETICS); VARIATION (GENETICS);

EID: 33645093965     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-005-0355-1     Document Type: Article

References (37)

1. Asmussen, M.A.: Density-dependent selection incorporating intraspecific competition. II. A diploid model. Genetics 103, 335-350 (1983)
2. Barton, N.H.: The maintenance of polygenic variation through a balance between mutation and stabilizing selection. Genet. Res., Camb. 47, 209-216 (1986)
3. Barton, N.H., Turelli, M.: Natural and sexual selection on many loci. Genetics 127, 229-255 (1991)
4. Bolnick, D.I.: Can intraspecific competition drive disruptive selection? An experimental test in natural populations of sticklebacks. Evolution 58 (3), 608-618 (2004)
5. Bulmer, M.G.: Density-dependent selection and character displacement. Am. Naturalist 108, 45-58 (1974)
6. Bulmer, M.G.: The mthematical theory of quantitative genetics. Clarendon Press, Oxford, UK, (1980)
7. Bürger, R.: The mathematical theory of selection recombination, and mutation. Chichester: John Wiley & Sons, (2000)
8. Bürger, R.: Additive genetic variation under intraspecific competition and stabilizing selection: A two-locus study. Theor. Popul. Biol. 61, 197-313 (2002a)
9. Bürger, R.: On a genetic model of intraspecific competition and stabilizing selecion. Am. Natur. 160, 661-682 (2002b)
10. Bürger, R.: A multilocus analysis of intraspecific competition and stabilizing selection on a quantitative trait. J. Math. Biol. 50, 355-396 (2005)
11. Bürger, R., Gimelfarb, A.: Genetic variation maintained in multilocus models of additive quantitative traits under stabilizing selection. Genetics 152, 807-820 (1999)
12. Bürger, R., Gimelfarb, A.: The effects of intraspecific competition and stabiliting selection. Am. Natur. 160, 661-682 (2004)
13. Christiansen, F.B., Loeschcke, V.: Evolution and intraspecific exploitative competition 1. One-locus theory for small additive gene effects. Theoretical Population Biology 18 (3), 297-313 (1980)
14. Christiansen, F.B.: Natural selection related to the biotic environment. Evolution and the genetics of populations S.D. Jayakar, L. Zonta, (eds.), (Atti Ass. Genet. Ital. vol. 29), 85-102 (1982)
15. Cockerham, C.C., Burrows, P.M., Young, S.S., Prout, T.: Frequency-dependent selection in randomly mating populations. Am. Naturalist 106, 439-515 (1972)
16. Darwin, C.: On the origin of species by means of natural selection. London, John Murray, (1859)
17. Doebeli, M.: A quantitative genetic competition model for sympatric speciation. J. Evol. Biol. 9 893-909 (1996)
18. Dieckmann, U., Doebeli, M.: On the origin of species by sympatric speciation. Nature Vol. 400, (1999)
19. Fenichel, N.: Persistence and smoothness of invariant manifolds for flows. Ind. Univ. Math. J. 21, 193-226 (1971)
20. Gavrilets, S.: Models of speciation: What have we learned in 40 years? Evolution 57, 2197-2215 (2003)
21. Gavrilets, S.: Fitness landscapes and the origin of species. Princeton: Univ. Press, 2004
22. Hirsch, M. W., Pugh, C., Shub, M.: Invariant manifolds. Lect. Notes. Math. 583. Berlin Heidelberg New York: Springer, (1977)
23. Hoekstra, R.F.: A deterministic model of cyclical selection. Genet. Res. Camb. 25, 1-15 (1975)
24. Hofbauer, J., Sigmund, K.: Evolutionary games and population dynamics. Cambridge: University Press, (1998)
25. Kingsolver, J. G., Hoekstra, H. E., Hoekstra, J. M., Berrigan, D., Vignieri, S. N., Hill, C. E., Hoang, A., Gibert, P., Beerli, P.: The strength of phenotypic selection in natural populations. Am. Nat. 157, 245-261 (2001)
26. Kirkpatrick, M., Johnson, T., Barton, N.: General models of multilocus evolution. Genetics 161, 1727-1750 (2002)
27. Loeschcke, V., Christiansen, F. B.: Evolution and intraspecific exploitative competition. II. A two-locus model for additive gene effects. Theor. Pop. Biol. 26, 228-264 (1984)
28. Matessi, C., Gimelfarb, A., Gavrilets, S.: Long-term buildup of reproductive isolation promoted by disruptive selection: How far does it go? Selection 2 (2001) 1-2, 41-64 (2001)
29. Nagylaki, T.: The maintenance of genetic variability in two-locus models of stabilizing selection. Genetics 122, 235-248 (1989)
30. Nagylaki, T.: The evolution of multilocus systems under weak selection. Genetics 134, 627-647 (1993)
31. Nagylaki, T., Hofbauer, J., Brunovský, P.: Convergence of multilocus systems under weak epistasis or weak selection. J. Math. Biol. 38, 103-133 (1999)
32. Ricker, W.E.: Stock and recruitment. J. Fisheries. Res. Board. Can. 11, 559-623 (1954)
33. Schneider, K.A.: Competitive divergence in non-random mating populations. Theor. Popul. Biol., 68, 105-118 (DOI: 10.1016/j.tpb.2005.05.001) (2005)
34. Slatkin, M.: Frequency- and density-dependent selection on a quantitative character. Genetics 93, 755-771 (1979)
35. Turelli, M., Barton, N.H.: Polygenic variation maintained by balancing selection: pleiotropy, sex-dependent allelic effects and G x E interactions. Genetics 166, 1053-1079 (2004)
36. Udovic, D.: Frequency-dependent selection, disruptive selection, and the evolution of reproductive isolation. Am. Natur. 116, 621-641 (1980)
37. Wright: Adaption and selection. In: Jepson, G.L., Simpson, G.G., Mayr, E. (eds.), Genetics, Paleontology, and Evolution, pp. 365-89. Princeton: University Press, (1949)