Well it's still "living in harmony with nature" to hunt one species to extinction so that another can flourish.
But in any case, I'm skeptical of these claims. I think it's much more likely that the end of the ice age was what wiped out the wooly mamoth. Notice how elephants were not hunted to extinction in Africa and Asia.
Have you thought about how ridiculously hard it must have been to hunt an adult wooly mammoth with nothing but primitive spears and rocks? Those things were massive beasts. The slightest touch would kill a human on impact, and driving a spear through such thick fur, skin and muscles in order to get to the organs inside must've been next to impossible. Even if you had modern spears, it would be pretty hard. And with those primitive spears they would've had then, I just don't see it happening all that often. I realize those humans were much healthier, quicker, stronger and resilient than today's humans. But still.
One way I can see to hunt such a massive beast with the tools available at the time, would be to set up a pit-trap and then fool the wooly mammoth into walking over it. But even digging such a massive pit-trap with the tools available at the time must've been quite a feat. Let alone the actually finding a wooly mammoth that just happened to be nearby, and then convincing it to run straight over it somehow.
I suppose another way might be to get it to run around to exhaustion (either being chased around, or making it chase the human hunters, or both), the way the San people of the Kalahari Desert do with some animals there, such as kudus. But elephants are much more resilient over long distances, and I assume wooly mammoths must've been as well. So I'm not sure it would be the mammoth that would get exhausted first. I haven't heard of african tribes hunting elephants or rhinos in this way. And of course, africans are much better long-distance runners than europeans, so there's that as well.
And then another way would be to use poison, if they could find it in the wild. But it would take a tremendous amount of poison to hunt such a large animal. The poison could combine well with the exhaustion hunt.
In order to eat mammoths, more likely than all that, would be to wait for them to die from natural causes, and then find and eat the carcass. High meat
