
Interesting study, that I read fast, I will read it again more carefuly.
As for me, I heard some years ago, at a time when I lived in Zimbabwe, that the ideal density for Elephant was only 1 per km² or less. So the ideal number of Elephant for Hwange NP for example is 15.000 but there were 45.000 when I was there, so hugely overpopulated, and it had negative impacts on vegetation and other herbivores, as we see it in the Kruger where artificial waterholes were created and attracted Elephants.
So, as Okie - without being an idiot - I am not fully convinced by the figures given. But I reckognize that the ideal population must depend on each park, and it can vary much if the park is in an arid zone with scarce vegetation or in a more humid environment (1 per km² was perhaps specific to Hwange ?). And in an untouched system, the Elephants do not remain always in a limited area as a national park, but should move according to the food supply, hence allowing the vegetation to regenerate.