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The Fair Proportion of a species in a phylogenetic tree is a very simplemeasure that has been used to assess its value relative to the overallphylogenetic diversity represented by the tree. It has recently been proved byFuchs and Jin to be equal to the Shapley Value of the coallitional game thatsends each subset of species to its rooted Phylogenetic Diversity in the tree.We prove in this paper that this result extends to the natural translations ofthe Fair Proportion and the rooted Phylogenetic Diversity to rootedphylogenetic networks. We also generalize to rooted phylogenetic networks theexpression for the Shapley Value of the unrooted Phylogenetic Diversity game ona phylogenetic tree established by Haake, Kashiwada and Su.

The Fair Proportion is a Shapley Value on phylogenetic networks too