School of Mathematics and Statistics, University of Sydney, Sydney, New South Wales 2006, Australia.
Genetics. 2013 Sep;195(1):1-6. doi: 10.1534/genetics.113.152975.
Wilhelm Weinberg (1862-1937) is a largely forgotten pioneer of human and medical genetics. His name is linked with that of the English mathematician G. H. Hardy in the Hardy-Weinberg law, pervasive in textbooks on population genetics since it expresses stability over generations of zygote frequencies AA, Aa, aa under random mating. One of Weinberg's signal contributions, in an article whose centenary we celebrate, was to verify that Mendel's segregation law still held in the setting of human heredity, contrary to the then-prevailing view of William Bateson (1861-1926), the leading Mendelian geneticist of the time. Specifically, Weinberg verified that the proportion of recessive offspring genotypes aa in human parental crossings Aa × Aa (that is, the segregation ratio for such a setting) was indeed p=1/4. We focus in a nontechnical way on his procedure, called the simple sib method, and on the heated controversy with Felix Bernstein (1878-1956) in the 1920s and 1930s over work stimulated by Weinberg's article.
威廉·温伯格(Wilhelm Weinberg,1862-1937 年)是人类和医学遗传学领域一位鲜为人知的先驱。他的名字与英国数学家 G.H.哈代(G. H. Hardy)联系在一起,因为哈代-温伯格定律(Hardy-Weinberg law)在群体遗传学教科书中无处不在,因为它表达了在随机交配下,受精卵频率 AA、Aa、aa 代际稳定。温伯格的一项重要贡献是,在一篇百年纪念文章中验证了孟德尔分离定律在人类遗传中的适用性,这与当时占主导地位的孟德尔遗传学家威廉·贝特森(William Bateson,1861-1926 年)的观点相悖。具体来说,温伯格验证了人类父母杂交 Aa×Aa(即这种情况下的分离比例)中隐性后代基因型 aa 的比例确实为 p=1/4。我们以非技术的方式关注他的方法,称为简单同胞法,并关注 20 世纪 20 年代和 30 年代,在温伯格的文章所激发的工作中,他与费利克斯·伯恩斯坦(Felix Bernstein,1878-1956 年)之间的激烈争议。