In historical linguistics, a linkage is a network of related dialects or languages that formed from a gradual diffusion and differentiation of a proto-language.
The term was introduced by Malcolm Ross in his study of Western Oceanic languages . It is contrasted with a family, which arises when the proto-language speech community separates into groups that remain isolated from each other and do not form a network.
Linkages are formed when languages emerged historically from the diversification of an earlier dialect continuum. Its members may have diverged despite sharing subsequent innovations, or such dialects may have come into contact and so converged. In any dialect continuum, innovations are shared between neighbouring dialects in intersecting patterns. The patterns of intersecting innovations continue to be evident as the dialect continuum turns into a linkage.
According to the comparative method, a group of languages that exclusively shares a set of innovations constitutes a "(genealogical) subgroup". A linkage is thus usually characterised by the presence of intersecting subgroups. The tree model does not allow for the existence of intersecting subgroups and so is ill-suited to represent linkages, which are better approached using the wave model.
The cladistic approach underlying the tree model requires the common ancestor of each subgroup to be discontiguous from other related languages and unable to share any innovation with them after their "separation". That assumption is absent from Ross and François's approach to linkages. Their genealogical subgroups also have languages descended from a common ancestor, as defined by a set of exclusively-shared innovations), but whose common ancestor may not have been discretely separated from its neighbours. For example, a chain of dialects {A B C D E F} may undergo a number of linguistic innovations, some affecting {BCD}, others {CDE}, still others {DEF}. Insofar as each set of dialects was mutually intelligible at the time of the innovations, all can be seen as forming separate languages.
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In historical linguistics, the wave model or wave theory (German Wellentheorie) is a model of language change in which a new language feature (innovation) or a new combination of language features spreads from its region of origin, affecting a gradually expanding cluster of dialects. Dialect diffusion spreads from a given point of contact like waves on the water. The theory was intended as a substitute for the tree model, which did not seem to be able to explain the existence of some features, especially in the Germanic languages, by descent from a proto-language.
Two languages have a genetic relationship, and belong to the same language family, if both are descended from a common ancestor through the process of language change, or one is descended from the other. The term and the process of language evolution are independent of, and not reliant on, the terminology, understanding, and theories related to genetics in the biological sense, so, to avoid confusion, some linguists prefer the term genealogical relationship.
In historical linguistics, the tree model (also Stammbaum, genetic, or cladistic model) is a model of the evolution of languages analogous to the concept of a family tree, particularly a phylogenetic tree in the biological evolution of species. As with species, each language is assumed to have evolved from a single parent or "mother" language, with languages that share a common ancestor belonging to the same language family.