In literature, Symbolism is used to characterize by the use of an object to represent something more than it literal meaning.
The answer is: all of a mother's responsibilities.
In the poem "DayStar," by Rita Dove, the woman feels trapped in her role of mother and wife. The line "diapers steaming on the line" refers to the endless repetitive tasks a housewife has to perform. She cannot see an escape to be herself - she can only see diapers to wash and dolls to out away.
Katiniss had lived in district 12, the surrounding area is forested. She regularly leaves district 12 to go hunting. Because of this, she has a lot of experience in the woods and understands how to hunt and survive there. The setting of the Hunger Games is also in a forest. Because of that, she has a better chance at surviving.