摘要
本文对群体遗传学中的瓦伦德原理进行了推广,证明在两群体并未完全融合而仅发生部分迁移的条件下,该原理仍然成立,并应用函数的凸凹性为该原理提供了一种新的证明方法。
Wahlund's principle in population genetics has been extended from completefusion to part migration.And a new approach to prove Wahlund's principle hasbeen put forward by using convex and concave functions.The frequencies ofgenotype AA and aa are concave functions against the frequencies of gene A anda,respectively.The frequency of genotype Aa is a convex function against thefrequency of gene A or a.Suppose there are a number of subpopulations in whichthe average frequencies of the three kinds of genotype AA,aa and Aa are~2,~2and 2q.When these subpopulations are fused together,the frequencies ofgenotype AA,aa and Aa become ~2,~2 and 2·According to the natureof cancave and convex functions,following formulas can be obtaind at once:~2≤P^2,~2≤~2,2·≥2q.
出处
《晓庄学院自然科学学报》
CAS
1990年第3期240-245,256,共7页
Journal of Natural Science of Hunan Normal University
关键词
群体遗传学
瓦伦德原理
迁移
population genetics
Wahlund's principle
migration
convex function
concave function
