Cultural diffusion is the process by which a cultural custom, item, or concept is modified or hybridized to fit the cultural context of a society that borrows it.

Cultural diffusion is the movement of cultural ideas or artifacts, from one society to another. Your definition is cultural hybridization.  

Texas’ gulf coastal plains are the western extension of the coastal plain extending from the atlantic ocean to beyond the rio grande. its characteristic rolling to hilly surface covered with a heavy growth of pine and hardwoods extends into east texas. in the increasingly arid west, however, its forests become secondary in nature, consisting largely of post oaks and, farther west, prairies and brushlands.