Both poems show the intensity of the forces of nature.
This can be seen because:
In "I Started Early—Took My Dog," the author shows the liveliness and influence of the sea. She does it as a metaphor for what a man would be able to do with her life.
In "Apparently with No Surprise," the author shows how frost is capable of killing a flower, without any mercy. She uses it to make a metaphor about the end of life.
Both poems portray the author's very deep thoughts, she had much stronger thoughts about life, death, and passions and for this reason used the force of nature to represent these thoughts.
Furthermore, it is necessary to emphasize that the topic of a poem is one of the subjects that the poem addresses.