Crop Rotation Simulator: Soil Nutrient Cycles

simulator intermediate ~10 min
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Yield index ≈ 78% — 4-year rotation with legumes sustains fertility

A 4-year rotation with 25% legumes maintains soil nitrogen around 120 kg/ha and achieves a long-term average yield index near 78%, compared to ~55% for monoculture.

Formula

N_soil(t+1) = N_soil(t) - crop_uptake + fixation + mineralization - leaching
Yield_index = min(N_available / N_required, 1.0) × 100
Fixation = legume_fraction × fixation_rate × growing_days / 365

The Ancient Science of Rotation

Crop rotation is one of humanity's oldest agricultural innovations. The Roman writer Virgil described two-field rotation in 30 BCE, and medieval European farmers developed three-field systems that sustained populations for centuries. The Norfolk four-course rotation — wheat, turnips, barley, clover — triggered an agricultural revolution in 18th-century England by eliminating fallow years entirely.

Nitrogen: The Limiting Factor

Nitrogen is the nutrient most often limiting crop growth. While the atmosphere is 78% nitrogen gas, plants cannot use it directly. Legumes solve this through symbiosis with Rhizobium bacteria that convert atmospheric N₂ into plant-available ammonium. A single hectare of clover can fix 150 kg of nitrogen — equivalent to several bags of synthetic fertilizer — while simultaneously improving soil structure.

Beyond Nutrients: Breaking Pest Cycles

Rotation does more than manage nutrients. Many crop pests and diseases are host-specific: corn rootworm larvae starve if they hatch in a soybean field. Rotating crops breaks these biological cycles, reducing the need for pesticides. This is why monoculture — planting the same crop year after year — typically requires escalating chemical inputs to maintain yields.

Modeling Long-Term Soil Health

This simulation tracks soil nitrogen through yearly cycles of crop uptake, legume fixation, organic matter mineralization, and leaching losses. Adjust the rotation length, legume fraction, and fallow periods to find strategies that maximize both yield and long-term soil fertility. The sustainability score rewards rotations that maintain stable nitrogen levels without declining yields.

FAQ

Why does crop rotation improve soil health?

Different crops extract and return different nutrients. Legumes fix atmospheric nitrogen through symbiotic rhizobia bacteria, cereals build organic matter with deep roots, and fallow periods allow microbial decomposition to release locked nutrients back into plant-available forms.

What is the ideal crop rotation length?

Most research supports 3–4 year rotations. A classic Norfolk four-course rotation (wheat → turnips → barley → clover) maintained English soils for centuries. Shorter rotations risk pest buildup; longer ones may underutilize productive seasons.

How much nitrogen do legumes fix?

Legumes fix 50–200 kg of nitrogen per hectare per growing season through symbiosis with Rhizobium bacteria. Soybeans typically fix 60–100 kg/ha, while alfalfa can fix 150–200 kg/ha over a full season.

Can crop rotation replace synthetic fertilizers?

Rotation with legumes can significantly reduce but rarely fully replace fertilizer needs for high-yield modern agriculture. A well-designed rotation typically reduces nitrogen fertilizer requirements by 30–50%, while also improving soil structure and reducing pest pressure.

Sources

Embed

<iframe src="https://homo-deus.com/lab/agriculture/crop-rotation/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub