One of the fundamental linguistic sources of inference about prehistoric migrations is the geographical distribution of related languages. This paper attempts to set forth the structures of such distributions and of the hypotheses which explain them. The presentation is perhaps too formulaic and too simplistic. Further collection of instances in recorded history should provide the proper testing of the formulae and their correction or, if they prove useful, their further elaboration.
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Isidore Dyen (1956) studied this question.