What does the lack of genetic diversity imply about the history of the cheetah population?

The lack of genetic diversity implies that the history of the cheetah population was relatively "calm" and undisturbed; in other words, there weren't crazy environmental stimuli and changes. The reason for this is based on the fact that the population had a lack of genetic diversity, as fewer genetic diversity means less of an ability to adapt to environmental stimuli/changes.

The cheetah's lack of genetic diversity is attributed to a severe population bottleneck that occurred ~12,000 years ago, from which the entire extant species is derived