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I would think he could handle a 10x10 or a 16x4 of grain, smaller if vegetables.
if the barn is on the north side of the field, as close as possible.
A farmer can do ~150 - 200 field square work per day. Mean 200 field square harvest, or 100 fertilizer and plow, or 50 harvest, fertilizer, plow and seed...
Short ways are important for a efficient farmer.
Thank you all for the replies, but this guy seems to have the answers to the test I was looking for. Basically a 7x7 field for 49 plots and have the home and barn right next door
I use 2x10 or 4x10 fields, small enough for flexible farmers work.
I would say 10x10 at most. Farming math is very complicated - some seasons are busy (especially summer), some are less, farmers are also stupid - they do what is near their barn. They dont care you have 1000 tiles to harvest, they will rather fertilize empty fields because they are close. It is difficult to have farm optimized so every season is well spent while failures like unharvested plants or empty fields are avoided.
But i have seen that the field workers sometimes a little bit faster/slower. 2 workers start at the exact same time with same fieldwork and size. But one of them finished a 6x10 field and the other one have 6 squares left. Same skill, a little bit different terrains. Its not everytime happend but sometimes.
Also farmers move a lot between barn and farms which takes away precisious time. Also multiple small fields can have worse "time per tile" ratio because farmers need to move between them.
If you really want to make it automatic, you're better off having excess workers and putting up with them doing nothing sometimes.
I have most times a field worker more, as i calculated to need. In the less work seasons they assign as barn workers.
I know that is absolutely not what you asked but you seem to have some pretty good estimations of that.
My estimation is I can harvest a 16x16 field from the opposite end while the workers have finished 2 rows at the other end. I would at least try to harvest yourself (let them finish the last square in front of them). Or let them do their thing for a day and you come along at quitting time and finish off whatever they had started. They seem less likely to get confused if they can start from the north west every day (and north south rows).
And if you're planning on multi cropping a field do not mark the new crop until the old is harvested. I'm sure I lost a beetroot crop like that and think I lost some cabbage. I did it in EA no problem but in release the old crop just disappeared (positive about the beetroot because I had none show up in storage).
Compare to your blacksmith or seamstress making you stuff to sell, you'll eventually get what you tell them to make. Farmers, you need to keep an eye on them.