I have had my graveyard totally filled up and food in the range of millions. That's after I achieved all tech levels & finished all 12 puzzles. So I let the game be and only check abt once a day.

So far nothing much happened, except the beach need to be cleaned again, food got swept away or became mouldy and so forth.

If you're lucky, sometimes you get a barrel of babies where you get 2 new youngsters aged 2 to replace the aging & dying villagers.