Tyvand P A
Department of Agricultural Engineering, Agricultural University of Norway, As.
J Theor Biol. 1993 Aug 7;163(3):315-31. doi: 10.1006/jtbi.1993.1122.
We study random mating in a finite diploid monoecious population with two alleles at one locus. We take into account selection and a constant probability of self-mating. The generations are assumed discrete (non-overlapping). An exact algebraic theory of genetic drift is developed by the technique of transition probability matrices. The theory works on the genotype level (Hedrick, 1970), but also allows the population size to vary from generation to generation. Thus, it gives an exact statistical description of bottleneck processes, as an inhomogeneous Markov chain. Numerical Monte Carlo simulations are performed and give full agreement with the present algebraic theory. The decay rates for heterozygosity agree with the asymptotic theory by Wright (1931).
我们研究了一个有限的二倍体雌雄同株种群在一个基因座上有两个等位基因时的随机交配情况。我们考虑了选择和自交的恒定概率。假设世代是离散的（不重叠）。通过转移概率矩阵技术发展了一种精确的遗传漂变代数理论。该理论在基因型水平上起作用（赫德里克，1970），但也允许种群大小在世代间变化。因此，它作为一个非齐次马尔可夫链，对瓶颈过程给出了精确的统计描述。进行了数值蒙特卡罗模拟，结果与当前的代数理论完全一致。杂合度的衰减率与赖特（1931）的渐近理论一致。
