This is an unconvincing reason, because there are two Strathearns - one in the south, and one in the north - and, moreover, every battle has to be fought outside the territory of one of the combatants.
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The inclusion of Pictish kings from Caustantín to Eogán in the Duan led to the supposition that Dál Riata was ruled by Pictish kings, or rather that Dál Riata kings ruled Pictland, leading to supposition that the origins of the Kingdom of Alba lay in a Gaelic conquest of Pictland.