areas colonized by European powers
colonize
/ˈkä-lə-ˌnīz/
verb
to take control of (a people or area) especially as an extension of state power : to claim (someone or something) as a colony
to migrate to and settle in (an inhabited or uninhabited area) : to establish a colony in
to spread to and develop in a new area or habitat
the areas of New England colonized by the Puritans