Department of Mathematics, Massey University, Palmerston North, New Zealand.
Genetics. 1978 Jul;89(3):591-614. doi: 10.1093/genetics/89.3.591.
A theory is given that allows inbreeding coefficients to be calculated exactly for populations with overlapping generations. Emphasis is placed on providing equations well suited for computer iteration. Both monoecious and dioecious populations are considered and family size is not restricted to being Poisson. One-locus and two-locus inbreeding coefficients are evaluated, although the reader may omit the two-locus sections. The exact treatment is shown to be preferable to approximate treatments in that it applies to both early and late generations for all populations sizes. Inbreeding effective numbers found by the exact treatment are compared to various approximate numbers, and the approximate values are found to be generally very good.
给出了一个理论,允许为具有重叠世代的群体精确计算近交系数。重点是提供非常适合计算机迭代的方程。同时考虑了雌雄同体和雌雄异体的群体,并且不限制家庭规模为泊松分布。评估了单基因座和双基因座的近交系数,尽管读者可以省略双基因座部分。精确处理被证明优于近似处理,因为它适用于所有群体大小的早期和晚期世代。通过精确处理找到的近交有效数量与各种近似数量进行了比较,发现近似值通常非常好。