Final answer:
Big game hunting requires large spaces due to the biological and ecological needs of large animals, and over-hunting has historically resulted in reduced populations and habitat destruction. The exploration period saw significant native casualties due to European advances, and U.S. Indian policy was heavily influenced by land acquisition.
Step-by-step explanation:
Big game hunters indeed require large spaces to hunt, as the activity involves tracking and pursuing large animals that depend on extensive habitats to support their populations. Over-hunting, as seen in the Amazon Basin and Guianan Shield, often leads to a significant reduction in faunal biomass and the local extinction of large-bodied species, a problem exacerbated by habitat destruction due to increased demand for land, water, food, and energy. Furthermore, it is historically noted that during the exploration period, a dramatic number of natives were killed by Europeans, who had superior weaponry.
In the context of early American history, the acquisition of land was indeed a critical factor in the formulation of early U.S. Indian policy, pointing to a motive focused on territorial expansion. Moreover, hunting societies from ancient times, in response to diminishing game due to overhunting, developed new subsistence patterns that included controlling the movement of wild herds to enhance their diet and reproduction.