Do Farms ever get to 0 food and have to be re-seeded?

So my farms get to about 88 or 90/120 food then all of a sudden they go up to 96/120; are they not supposed to go down to 0 and are the villagers re-seeding while they pick food or something?

farms, normal ones are devided into 12 individual parts, that regrow overtime bit by bit
for rice paddies its devided into 16 parts, that also regrow quicker, so even with all farm updates, at least 2 sections will always be regrown in time for villager to collect, so yes, they never reach 0 capacity