Slatkin M, Maruyama T
Genetics. 1975 Sep;81(1):209-22. doi: 10.1093/genetics/81.1.209.
A model is developed of genetic drift in a cline maintained by spatially varying natural selection and local dispersal of individuals. The model is analyzed by an approximation scheme which is valid for weak selection and small migration rates. The results, which are based on numerical iterations of the approximate equations, are that the cline is less steep than predicted on the basis of the deterministic theory but that for weak selection the correlation between random fluctuations in neighboring colonies is approximately the same as in models of migration and drift in the absence of selection.
建立了一个关于渐变群中基因漂移的模型,该渐变群由空间变化的自然选择和个体的局部扩散维持。通过一种近似方案对该模型进行分析,该方案在弱选择和小迁移率的情况下有效。基于近似方程的数值迭代得出的结果是,渐变群的斜率比基于确定性理论预测的要平缓,但对于弱选择,相邻群体随机波动之间的相关性与无选择情况下的迁移和漂移模型大致相同。