We've got three mysterious entries in the "Book of Deer" relating to a "Mac-Dubbacín" or "Mac-Dobarcon", or two people with very similar names.
"Domnall son of Mac-Dubaicín quenched all the grants in favour of Drostán in return for giving him his goodwill. Cathal quenched his toísech's dues on the same terms, and gave a banquet for a hundred every Christmas and Easter to God and to Drostán. Cainnech son of Mac-Dobarchon and Cathal gave Altrie of the cliff of the birch-tree of the river-bend(?) as far as the birch-tree between the two Altries. Domnall and Cathal gave Ednie to God and to Drostán. Cainnech and Domnall and Cathal quenched all the grants in favour of God and of Drostán from beginning to end, from mormaer and toísech till Doomsday. And the blessing of the Lord on every mormaer and every toísech who shall comply with it, and to their descendants after them."
Precisely how these three men were related is an exercise in speculation, especially since "Cathal", although at one point specified as "toisech", is never provided with a parental or ancestral name.
"Cainnech" may very well be the father of "Gartnait son of Cainnech" in the following section, which would imply that he was mormaer of Buchan prior to Gartnait.
The question remains whether "mac Meic-Dubbacín/mac Meic-Dobarcon" represents a strictly paternal name, or the more generic "descendant of Dubbacín/Dobarcon". In the latter case we may have a succession to the mormaerdom of Buchan: Domnall > Cainnech > Gartnait (> Colbán, see section VI).