Department of Statistics, North Carolina State University, Raleigh, NC 27650.
Proc Natl Acad Sci U S A. 1984 Jan;81(2):530-4. doi: 10.1073/pnas.81.2.530.
The frequencies with which alleles are alike within (Q) and between (q) populations are formulated for monoecious populations undergoing drift and mutation with unequal mutation rates among alleles for a finite number (k) of allelic states. The effective number of alleles and an application to Nei's measure of genetic distance [Nei, M. (1972) Am. Nat. 106, 283-292] are also considered for this model. The equilibrium values of Q and q increase as k decreases. Unequal mutation rates further increase the equilibrium values and reduce the rates of approach of Q and q to these values. The transitional values of Q and q are very dependent on the initial population frequency composition when mutation rates are unequal. Reducing k, of course, reduces the effective number of alleles, which is further reduced by unequal mutation rates. Complications introduced by initial population composition, unequal mutation rates, and number of allelic states, coupled with data limitations for long-term measures of genetic distance or population differentiation, with mutation as the main driving force, are discussed.
在一个存在漂变和突变的雌雄同体种群中,对于存在有限数量(k)等位状态的基因,当等位基因之间的突变率不同时,我们推导出了种群内(Q)和种群间(q)等位基因相似的频率。该模型还考虑了有效等位基因的数量以及 Nei 的遗传距离度量(Nei,M.(1972)Am. Nat. 106,283-292)。当 k 减少时,Q 和 q 的平衡值增加。不等的突变率进一步增加了平衡值,并降低了 Q 和 q 达到这些值的速度。当突变率不等时,Q 和 q 的过渡值非常依赖于初始种群频率组成。当然,降低 k 会减少有效等位基因的数量,而不等的突变率会进一步减少有效等位基因的数量。本文讨论了由初始种群组成、突变率不等和等位状态数量引起的复杂情况,以及作为主要驱动力的突变对遗传距离或种群分化的长期度量数据的限制。