Wiktionary
overhunting
n. hunt at unsustainable levels
Usage examples of "overhunting".
Once the local supply of beavers (whose pelts were the principal trade commodity) became depleted due to overhunting, the Dutch also started to stake out farms, thereby displacing the Indians.
I suspect they ran out of game because of overhunting, and no doubt the climate had something to do with it.
That was important, because overhunting a given territory was death to predators.