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MasterMath

Crop Yield Calculator

The yield of a field in kilos and tonnes per hectare, correcting grain moisture so the figure can be compared with another year.

Yield

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Yield—
In tonnes—
Harvest at reference moisture—
Water above reference—
Income per hectare—
Margin per hectare—
Yield needed to cover costs—

How this was worked out

    The formula

    yield = harvest × (100 − moisture) ÷ (100 − reference) ÷ area

    Where it comes from

    Two harvests can only be compared at the same moisture, because water weighs and gets paid for as if it were grain. That is why stores discount: they take what you deliver back to the reference moisture for the crop, which in most cereals is fourteen per cent. The correction is a proportion on dry matter, not a percentage you subtract. And the number that really decides whether a field is worth sowing is not the yield but the break-even: the kilos per hectare at which income equals cost.

    How to work it out by hand

    1. Multiply the harvest by (100 − actual moisture) and divide by (100 − reference moisture)
    2. Divide by the hectares: that is the corrected yield
    3. Divide by a thousand to get tonnes per hectare
    4. Divide the cost per hectare by the price per tonne to see where you break even

    What is worth knowing

    Reference moisture is not the same for every crop or every country: fourteen per cent is standard for wheat, barley and maize in Europe, but maize comes off the field far wetter and drying is charged separately. Use the figure the store you deliver to actually applies, not the one in the textbook.

    Frequently asked questions

    Why correct for moisture?

    Because water weighs. Ten thousand kilos at twenty per cent moisture is not the same harvest as ten thousand at fourteen, and without correcting it a wet year looks better than it was.

    What counts as a good yield?

    It depends on the crop, on rainfed or irrigated and on the region. What works everywhere is comparing it to the break-even: below that, the field loses money.

    What is a quintal per hectare?

    A hundred kilos per hectare. It is the unit yields are quoted in across much of Europe.

    Does the margin include subsidies?

    No. Only sale income and growing costs go in here. Support payments are separate because they depend on the country and the year.