Youre watcfhing too much TV - the conventional wisdom re: indians is largely myth.
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Similarly, where game was plentiful, Indians used only the choicest cuts and left the rest. When the buffalo hunting tribes on the Great Plains herded hundreds of animals over cliffs in the 18th and early 19th centuries, tons of meat were left to rot or to be eaten by scavengers - hardly a result consistent with the environmental ethic attributed to Indians. Samuel Hearne, a fur trader near Hudson's Bay, recorded in his journal in the 1770s that the Chipewayan Indians would slaughter large numbers of caribou and musk ox, eat only a few tongues, and leave the rest to rot.
Indians also manipulated the land to improve hunting. Upland wooded areas from east to west were burned to remove the undergrowth and increase forage for deer, elk, and bison. Indeed, because of this burning, it's possible that fewer "old growth" forests existed in the Pacific Northwest when the first Europeans arrived than exist today.