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The forest of mutations associated to a multitype branching forest isobtained by merging together all vertices of its clusters and by preservingconnections between them. We first show that the forest of mutations of anymulitype branching forest is itself a branching forest. Then we give itsprogeny distribution and describe some of its crucial properties in terms theinitial progeny distribution. We also obtain the limiting behaviour of thenumber of mutations both when the total number of individuals tends to infinityand when the number of roots tends to infinity. The continuous time case isthen investigated by considering multitype branching forests with edge lengths.When mutations are non reversible, we give a representation of their emergencetimes which allows us to describe the asymptotic behaviour of the latters, whenthe ratios of successive mutation rates tend to 0.

On mutations in the branching model for multitype populations