Some population genetic models combining sexual selection with assortative mating

Karlin, Samuel; O'Donald, Peter

doi:10.1038/hdy.1978.85

Cited by 15 publications

(5 citation statements)

References 24 publications

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“…O 'Donald (1980 a) fitted a model that combined preferential mating without assortment with assortative mating for both phenotypes. This combined model (Karlin & O 'Donald 1978) gave an excellent fit to the data. (For details of the model and the procedure of fitting, see O 'Donald (1980a).…”

Section: Data O F Mormoniella Vitripennismentioning

confidence: 81%

Frequency-dependent sexual selection

O'Donald

Majerus

1988

Phil. Trans. R. Soc. Lond. B

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Sexual selection by female choice is expected to give rise to a frequency-dependent sexual advantage in favour of preferred male phenotypes: the rarer the preferred phenotypes, the more often they are chosen as mates. This 'rare-male advantage' can maintain a polymorphism when two or more phenotypes are mated preferentially: each phenotype gains an advantage when it is rarer than the others; no preferred phenotype can then be lost from the population. Expression of preference may be complete or partial. In models of complete preference, females with a preference always mate preferentially. Models of partial preference are more realistic: in these models, the probability that a female mates preferentially depends on the frequency with which she encounters the males she prefers. Two different 'encounter models' of partial preference have been derived: the O'Donald model and the Charlesworth model. The encounter models contain the complete preference model as a limiting case. In this paper, the Charlesworth model is generalized to allow for female preference of more than one male phenotype. Levels of frequency dependence can then be compared in the O'Donald and Charlesworth models. The complete preference model and both encounter models are formulated in the same genetical terms of preferences for dominant and recessive male phenotypes. Polymorphic equilibria and conditions for stability are derived for each of the three models. The models are then fitted to data of frequencies of matings observed in experiments with the two-spot ladybird. The complete preference model gives as good a fit as the encounter models to the data of these and other experiments. The O'Donald and Charlesworth encounter models are shown to produce a very similar frequency-dependent relation. Generally, as females become less choosy, they express their preference with more dependence on male frequency, whereas the resulting selection of the males becomes less frequency dependent. More choosy females are more constant in expressing their preference, producing greater frequency dependence in the selection of the males.

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Section: Data O F Mormoniella Vitripennismentioning

confidence: 81%

Frequency-dependent sexual selection

O'Donald

Majerus

1988

Phil. Trans. R. Soc. Lond. B

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“…Direct tests of the significance of assortment, using a cross product ratio, also gave non-significant results at all frequencies. Karlin and O'Donald (1978) described a model which combined both assorting and non-assorting preferences for two phenotypes. O'Donald (1980) fitted this model to data of matings of two mutant strains of the parasitic wasp Mormoniella vitripennis.…”

Section: Results (I) Population Cage Experimentsmentioning

confidence: 99%

“…However, the model used takes no account of the different phenotypes in the main data classes, melanics and non-melanics. Karlin and O'Donald (1978) have developed a mixed assortative mating and sexual selection model for a dominant trait. This paper describes experimental and field data on the relative mating frequencies of the typica and quadrimaculata forms of A. bipunctata and the fitting of these data to Karlin and O'Donald's model of sexual selection and assortative mating.…”

Section: Introductionmentioning

confidence: 99%

Evidence for preferential mating in Adalia bipunctata

1982

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SUMMARYNon-random mating may be involved in the maintenance of colour polymorphism in Adalia bipunctata. Mating choice experiments have been carried out on a stock of A. bipunctata from Keele. Specific frequencies of the melanic quadrimaculata form and the non-melanic typica form were placed in population cages or mating chambers and allowed to mate. The frequencies of the forms amongst mating pairs were scored. The results gave a good fit to a model of mixed sexual selection and assortative mating showing a strongly frequency dependent, non-assorting preference for quadrimaculata males in the matings.Data from the wild Keele population showed a similar preference for quadrimaculata males, and an excess of males of a second melanic phenotype, sexpustulata. Observation of courting pairs indicated that female choice determined frequency of mating. Field data from Keele also gave evidence of assortative mating between typica and another non-melanic form, annulata.

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“…Some authors have regarded preferential assortative mating as being separate from sexual selection (Karlin and O'Donald, 1978;O'Donald, 1980 Creed (1975) and Lusis (1961) were criticised by Muggleton (1979) because they combined heterogeneous samples, which is not only statistically illegitimate, but might also mask any frequency-dependent mating advantage. In addition, the analyses of x2 were not strictly legitimate because 'expected' mating frequencies were also based on samples which were themselves subject to sampling error.…”

Section: Introductionmentioning

confidence: 99%