Article PDF
References
Ferrar, W L. 1951. Finite Matrices. Oxford.
Fisher, R A. 1922. On the dominance ratio. Proc Roy Soc Edinb, 42, 321–341.
Haldane, J B S. 1926. A mathematical theory of natural and artificial selection. Part III. Proc Camb Phil Soc, 23, 363–372.
Kimura, M. 1956. Rules for testing stability of a selective polymorphism. Proc US Nat Acad Sci, 42, 336–340.
Mandel, S P H, and Hughes, I M. 1958. Change in mean viability at a multi-allelic locus in a population under random mating. Nature, 182, 63–64.
Owen, A R G. 1953. Equilibrium of populations and the possibility of sustained large-scale oscillations. Heredity, 7, 151 (abstract).
Owen, A R G. 1954. Balanced polymorphism of a multiple allelic series. Caryologia, Supp. 6, 1240–1241.
Penrose, L S, Smith, S M, and Sprott, D A. 1956. On the stability of allelic systems. Ann Hum Genetics, 21, 90–93.
Wright, S. 1931. Evolution in Mendelian populations. Genetics, 16, 97–159.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mandel, S. The stability of a multiple allelic system. Heredity 13, 289–302 (1959). https://doi.org/10.1038/hdy.1959.36
Received:
Issue Date:
DOI: https://doi.org/10.1038/hdy.1959.36
This article is cited by
-
Extinction scenarios in evolutionary processes: a multinomial Wright–Fisher approach
Journal of Mathematical Biology (2023)
-
On polymorphism for discrete evolutionary dynamics driven either by selection or segregation distortion
Computational and Applied Mathematics (2018)
-
Phenotype-dependent mate choice and the influence of mixed-morph lineage on the reproductive success of a polymorphic and aposematic moth
Evolutionary Ecology (2018)
-
Selection and mutation at a diallelic X-linked locus
Journal of Mathematical Biology (1991)
-
The population genetics of sex determination in honey bees: random mating in closed populations
Heredity (1982)