The joint effects of selection and assortative mating on a single polygenic character
The joint effects of selection and assortative mating on a single polygenic character
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选择和选型交配对单个多基因性状的联合影响
DOI:
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发表时间:
2004
影响因子:
5.4
通讯作者:
P. Leppard
中科院分区:
文献类型:
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作者:
G. M. Tallis;P. Leppard
In two previous papers (Tallis 1985, 1987), the effects of assortative mating ("assortation") and selection on additive genetic variances and covariances were examined. The arguments were sufficiently gneral to allow for the simultaneous treatment of several characters. It is the purpose of this paper to extend this work by developing results which allow the joint effects of selection and assortation on genotypic and phenotypic variances to be assessed. Additional analyses also examine effects on genetic gains and on the covariances between the most important relatives. Only a single character is treated, since it is the case of prime interest. This allows the development to be simple and assists the display of ideas and results. The treatment of multiple characters is covered in a subsequent paper. Studies such as these are important for at least two reasons: (1) it is useful to be able to assess the joint numerical effects of selection and assortation on genetic gains there is no point in making the extra effort to mate assortatively after selection if the increase in genetic gains will be marginal; and (2) it may be required to estimate panmictic, phenotypie, and genetic variances from a population subjected to one or both o f the processes. This sort of calculation was first undertaken by Fisher (1918) and the steps are given by Crow and Kimura (1970). Fisher showed that estimates of heritability of stature in man need to be corrected for positive assortation amongst the parents to reduce them to a panmictic equivalent. Notation and basic results