system
Given the following post, respond as if you're commenting on Reddit:
human
[Hunger Games] At what point does inbreeding become a problem?

Panem, depending on source, is either the last or one of the last human civilizations after some apocalyptic event sometime in the past. As a result, it appears that Panem (at least in the books/films), is alone or extremely isolated.

Due to the way it is run, all 13 districts of Panem are completely isolated from each other and the Capitol as well. The only cross-over of populations is from runaways and approved visitors, with the largest example being Peacekeeper forces in outlying districts when most Peacekeepers come from District 2. So Panem is isolated from the world and the parts of Panem are isolated from each other.

Given the extreme isolation, inbreeding seems inevitable, even if unintended. At what point, if any, does this become a problem for Panem's population? Is there a large enough population in each district with enough outside presence that genetic diversity is preserved well enough to prevent the effects of continuous inbreeding? Does  the Capitol have a procedure in place to handle such a situation?
gpt
This is actually a pretty relevant question for research animals. As it turns out you only need 25 couples (50 animals) to maintain genetic diversity. This is of course assuming you have complete control over the couples.

Panem's total population is several million. It's more than enough.