Cannings C, Tyrer J P, Vickers G T
Department of Probability and Statistics, University of Sheffield, U.K.
J Theor Biol. 1993 Nov 21;165(2):213-23. doi: 10.1006/jtbi.1993.1186.
It is well known that for a single, autosomal locus with differential viabilities convergence to a stable equilibrium is assured. However if new alleles are introduced sequentially by mutation the final equilibrium may depend on the particular sequence. Thus the equilibrium to which the population moves will be randomly determined. When there is an internal, stable polymorphism there is no such randomness in the final equilibrium as there is only the one stable point. However the time taken to reach that equilibrium will vary with the order of occurrence of mutations, and with the specific set of viabilities. The object here is to discuss the possible routes by which an internal polymorphism can be reached, and to begin the elucidation of which sets of alleles can be stable in their own space.
众所周知,对于一个具有不同活力的单常染色体基因座,收敛到稳定平衡是可以确定的。然而,如果通过突变依次引入新的等位基因,最终的平衡可能取决于特定的序列。因此,种群所趋向的平衡将是随机确定的。当存在内部稳定多态性时,最终平衡中不存在这种随机性,因为只有一个稳定点。然而,达到该平衡所需的时间将随突变发生的顺序以及活力的特定组合而变化。这里的目的是讨论达到内部多态性的可能途径,并开始阐明哪些等位基因组合在其自身空间中可以是稳定的。