The two field system has two fields use so one half was used to make barley,grain and rye.
While the three field system used 2/3 of the field while the third field was layed for fallow.
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The serfs or peasants adopted the three- field system. They planted one field with grain, another with legumes, such as peas and beans, and the last was left unplanted. This system increased productivity so more food could be produced, increasing the population. :)
The three field system seems to have been supplanting the older two field system during the time of Charlemagne. The improvement to agriculture of the three field system was very obvious to the farmers of the time, because it increased the amount of land being tilled by about a third, distributed the work of planting into two parts of the year rather than one, and increased the versatility of the farm. The result was that after Charlemagne, nearly all the farms in Western Europe adopted the the three field system, and it was general for tillage. We should remember that not all farm products are suitable for crop rotation. Those that are not include perennials, such as fruit and nuts from trees or vines. Farms that were mainly orchards, groves, or vineyards might not have used it, even for garden plots. The next system developed was the four field system, which came after the Middle Ages.
A field rotation system was a schedule for planting different crops so the same crop would not grow in the same field year after year. The early system used in the Middle Ages was the two field system, in which the field was tilled for a crop one year and allowed to recover the next. Later, the three field system was used, in which a field was tilled for one crop one year, tilled for a different crop the next year, and allowed to lie fallow to recover in the third. Fallow fields were used for grazing.
This system is called Crop Rotation.
The Roman Catholic Church, and the feudal system.