The ‘stepping-stone’ model has been used to study genetic similarity of peoples as a function of the geographical distances separating them. A gene is represented by one of several alleles, much as a meaning is represented by one of many words. Based on this parallel, the stepping-stone model is here applied to a body of linguistic data from a chain of Micronesian islands. The logarithm of the lexical similarity, when plotted against geographical distance, shows a pronounced upper concavity not found in the genetic investigations. This deviation from linearity is largely caused by non-homogeneity of replacement rates in the words studied. Another contributing factor is that the effect of distance on lexical similarity is much greater for the eastern islands in the group.
Rates of replacement in space, computed here, show a significant positive correlation with those in time, computed for a related language or for different groups of languages.*