Nagylaki T
Genetics. 1974 Oct;78(2):777-90. doi: 10.1093/genetics/78.2.777.
The geographical structure of a finite population distributed continuously and homogeneously along a circular habit is explored. Selection is supposed to be absent, and the analysis is restricted to a single locus with discrete, non-overlapping generations. Assuming every mutant is new to the population, the rate of decay of genetic variability is obtained, and the probability that two homologous genes separated by a given distance are different alleles is calculated. If moments of the migration function higher than second are neglected, the eigenvalue equation is shown to be a simple trigonometric one, and the Fourier series giving the transient and stationary probabilities of allelism are summed in terms of elementary functions. The proportion of homozygotes, the effective number of alleles maintained in the population, and the amount of local differentiation of gene frequencies are discussed.
研究了在圆形栖息地连续且均匀分布的有限种群的地理结构。假定不存在选择，并且分析仅限于具有离散、非重叠世代的单个基因座。假设每个突变体对于种群来说都是新的，得出了遗传变异性的衰减率，并计算了被给定距离隔开的两个同源基因是不同等位基因的概率。如果忽略迁移函数高于二阶的矩，则特征值方程显示为一个简单的三角方程，并且给出等位基因瞬时和稳态概率的傅里叶级数用初等函数进行了求和。讨论了纯合子的比例、种群中维持的等位基因有效数量以及基因频率的局部分化量。
