The significance of specific distributions and functions in models of quantitative inheritance

The significance of specific distributions and functions in models of quantitative inheritance
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数量遗传模型中特定分布和函数的意义

DOI:
10.1007/bf00277671
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发表时间:
1984
影响因子:
1.9
通讯作者:
A. Gimelfarb
A. Gimelfarb
中科院分区:
数学4区
文献类型:
--
作者:
A. Gimelfarb

文献摘要

被引文献

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本文的主要目的是要引起注意的事实是,数量遗传的数学模型可以导致定性不同的结果,如果分布和功能,在模型中代表生物过程被假定为采取不同的分析(即使定性相似)的形式。本文讨论了在表型稳定选择下,环境变化对选择后群体基因型方差影响的一个简单模型。它表明,该模型导致定性不同的结论取决于是否表型适应度函数是假设在高斯或二次形式。
The main purpose of this paper is to attract attention to the fact that a mathematical model of quantitative inheritance can lead to qualitatively different results, if distributions and functions which in the model represent biological processes are assumed to take analytically different (even though qualitatively similar) forms. A simple model of the effect of environmental variation on the post-selection genotypic variance in a population under phenotypic stabilizing selection is considered. It is demonstrated that this model leads to qualitatively different conclusions depending on whether the phenotypic fitness function is assumed in a Gaussian or in a quadratic form.