Sokal R R, Oden N L, Thomson B A
Department of Ecology and Evolution, State University of New York, Stony Brook 11794-5245.
Am J Phys Anthropol. 1988 Jul;76(3):337-61. doi: 10.1002/ajpa.1330760308.
By means of three different methods we investigated whether 59 allele frequencies and ten cranial variables show increased change at 29 language-family boundaries in Europe. The quadrat-variance method compares variances of map quadrats crossed by language-family boundaries to variances of quadrats that are not crossed. The rate-of-change method examines the directional derivative of surfaces of the variables perpendicular to a language-family boundary and compares these derivatives to the same quantities obtained by randomly placing the language boundaries on the map of Europe. The difference method tests whether these variables differ more across language-family boundaries than across randomly placed boundaries. These special data-analytic techniques had to be developed to avoid the problem of spatial autocorrelation of both language and biological data. All three methods indicate increased genetic change at language-family boundaries. Clearer and more pronounced results are obtained by the first two methods than by the difference method. Thirteen language-family boundaries show significant gene frequency change by at least one of the methods. Changes are more marked in gene frequencies than in cranial variables. Different allele frequencies mark the increased change at different language boundaries. A model, based on the known history of each language-family boundary, was constructed to predict whether given boundaries should exhibit increased genetic change. The model is in good agreement with the observed results.
我们通过三种不同的方法,研究了59个等位基因频率和10个颅骨变量在欧洲29个语系边界处是否显示出更大的变化。方差异方法将语系边界穿过的地图方格的方差与未被穿过的方格的方差进行比较。变化率方法检查垂直于语系边界的变量表面的方向导数,并将这些导数与通过在欧洲地图上随机放置语系边界而获得的相同数量进行比较。差异方法测试这些变量在语系边界上的差异是否大于在随机放置的边界上的差异。必须开发这些特殊的数据分析技术,以避免语言和生物数据的空间自相关问题。所有三种方法都表明在语系边界处遗传变化增加。前两种方法比差异方法获得了更清晰、更显著的结果。至少有一种方法显示,13个语系边界的基因频率有显著变化。基因频率的变化比颅骨变量的变化更明显。不同的等位基因频率标志着不同语言边界处增加的变化。基于每个语系边界的已知历史构建了一个模型,以预测给定的边界是否应该表现出增加的遗传变化。该模型与观察结果高度一致。