The statement that correctly analyzes the economic situation in Williston, North Dakota is: "Williston experienced economic wealth due to the extraction of natural capital."
This refers to the significant economic growth and prosperity that the area experienced due to the extraction of oil from the Bakken formation, which is a major source of crude oil in North Dakota. The other statements about forest resources and population decline are not accurate in the context of Williston's economic situation during the oil boom.