On the product mean fitness and population growth in sexual and asexual populations

Evolutionary Ecology Research

Volumn 2, Issue 4, 2000, Pages 525-545

  Manos, H ^a   Liberman, U ^a   Feldman, Marcus W ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b STANFORD UNIVERSITY   (United States)

Author keywords

Failure of optimality; Global stability; Multiple equilibria; Population size; Random environments

Indexed keywords

EID: 0008763252     PISSN: 15220613     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Christiansen, F.B. 1984. Evolution in a temporally varying environment: Density and composition dependent genotypic fitnesses. In Population Biology and Evolution (K. Wöhrmann and V. Loeschke, eds), pp. 115-124. Berlin: Springier-Verlag.
2. Eshel, I. and Feldman, M.W. 1982a. On evolutionary genetic stability of the even sex ratio. Theor. Pop. Biol., 21: 430-439.
3. Eshel, I. and Feldman, M.W. 1982b. On the evolution of sex determination and the sex ratio in haplodiploid populations. Theor. Pop. Biol., 21: 440-450.
4. Fisher, R.A. 1930. The Genetical Theory of Natural Selection. Oxford: Clarendon Press.
5. Hines, W.G.S. and Moore, W.S. 1981. An analysis of sex in random environments. Adv. Appl. Probability, 13: 453-463.
6. Karlin, S. 1972. Some mathematical models of population genetics. Am. Math. Monthly, 79: 699-739.
7. Karlin, S. and Lessard, S. 1986. Theoretical Studies on Sex Ratio Evolution. Princeton, NJ: Princeton University Press.
8. Kingman, J.F.C. 1961. A matrix inequality. Quart. J. Math., 12: 78-80.
9. Lessard, S. 1989. Resource allocation in Mendelian populations: Further in ESS theory. In Mathematical Evolutionary Theory (M.W. Feldman, ed.), pp. 207-246. Princeton, NJ: Princeton University Press.
10. Liberman, U., Feldman, M.W., Eshel, I. and Otto, S. 1990. Two locus autosomal sex determination. I. On the evolutionary genetic stability of the even sex ratio. Proc. Natl Acad. Sci. USA, 87: 2013-2017.
11. MacArthur, R.H. 1965. Ecological consequences of natural selection. In Theoretical and Mathematical Biology (T.H. Waterman and H. Morowitz, eds), pp. 388-397. New York: Blaisdell.
12. Moran, P.A.P. 1964. On the nonexistence of adaptive topographies. Ann. Human Genet., 27: 383-393.
13. Owen, A.R.G. 1953. A genetical system admitting of two distinct stable equilibria under natural selection. Heredity, 7: 97-102.
14. Pollack, E. 1978. With selection for fecundity the mean fitness does not necessarily increase. Genetics, 90: 383-389.
15. Robson, A.J., Bergstrom, C.J. and Pritchard, J.K. 1999. Risky business: Sex and selfing in an unpredictable world. J. Theor. Biol., 197: 541-556.
16. Roughgarden, J. 1991. The evolution of sex. Am. Nat., 138: 934-953.
17. Selgrade, J.F. and Ziehe, M. 1987. Convergence to equilibrium in a genetic model with differential viability between the sexes. J. Math. Biol., 25: 477-490.
18. Spieth, P.J. 1974. Theoretical considerations of unequal sex ratios. Am. Nat., 108: 837-849.