In the originating account of Raven, as told in the Tlingit myth "Tlingit Creation Story," the connection between nature and the Tlingit is explained or described by the story.
Raven is trained by his father so that he has the skill and power to create a world. It is a difficult task but trying and trying again, Raven succeeds at creating a world.
Stage by stage over a long time filled with many adventures and deeds, Raven brings light, then spring water, then all other needful thing to the world he made.
This suggest the deep connection with nature because Raven, the creator, brought each part of nature, piece by piece, through many clever means to the world.