In the United States, national forest is a classification of protected and managed federal lands that are largely forest and woodland areas. They are owned collectively by the American people through
Sierra Nevada in the Sequoia National Forest, California
Rainforest in the El Yunque National Forest, Puerto Rico
Mount Hood National Forest, Oregon
Allegheny National Forest, Pennsylvania
A state forest or national forest is a forest that is administered or protected by a sovereign or federated state, or territory.
National forest (United States)
…Protected areas of the United States State forest National forests of the United States topics…
These signs at the entrance to the Belanglo State Forest in Australia advise visitors with instruction and warning.