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Intercrop Competition & Find Who Wins

Quantifies aggressivity

LERAggressivityCompetitive ratioCrowding K

Ask in public — the answer helps everyone who lands here after you.

LER tells you the intercrop is worth it; the competition indices tell you which component is winning. From sole and intercrop yields and the row ratio, get aggressivity, competitive ratio, crowding, yield loss and a row-ratio recommendation.

Enter your intercrop yields

Crop pair (loads sole yields + row ratio)

Reference: AICRP maize-based systems · sole Maize 5.2 / Soybean 1.6 t/ha

Row ratio Maize:Soybean

Sown proportions: Maize 50% · Soybean 50%

Competition result
Maize dominant
A = +0.39 aggressivity
LER 1.19 (yield advantage) · CR 1.39 / 0.72
Competition seesaw · aggressivity +0.39MaizeLER 0.69SoybeaLER 0.5Maize dominatesCanopy (partial LER)MaizeSoybe
+0.39
aggressivity A
1.39 / 0.72
CR Maiz/Soyb
2.25
crowding K
+0.39
actual yield loss
1.19
total LER
0.69 / 0.5
partial LER
2.25 / 1
K each
What this means
The aggressivity is +0.39: Maize is the dominant (aggressive) crop and Soybean is dominated. The total LER of 1.19 means the intercrop yields like 1.19 ha of sole crops per hectare grown — a real land-use advantage. Competitive ratios are Maize 1.39 vs Soybean 0.72; the crop with CR > 1 is suppressing its partner.

Next: Maize is out-competing Soybean (A = +0.39, CR 1.39 > 1). Cut a row of Maize or add a row of Soybean — move from 2:2 toward a ratio that favours Soybean — then re-check that LER stays above 1.

Aggressivity (Willey & Rao 1980): A=0 means equal competition; the sign shows which crop is dominant and the magnitude how strongly. Competitive Ratio CR>1 = dominant. K is the relative crowding coefficient; AYL is the actual yield loss vs sole crops at the same proportion. Sources: Willey & Rao (1980) Expl. Agric.; ICAR-AICRP cropping-systems methodology.

AICRP maize-based systems

Competition indices — key facts

Partial LER
La = Ya ÷ Sa
LER
La + Lb (> 1 = advantage)
Aggressivity
Ya÷(Sa·Za) − Yb÷(Sb·Zb)
Competitive ratio
(La÷Lb)·(Zb÷Za)
Crowding
Kab = Ya·Zb ÷ ((Sa−Ya)·Za)
Actual yield loss
(Ya÷Za)÷Sa − 1
Dominant if
|aggressivity| > 0.1
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Reference intercrop pairs and row ratios

Sole-crop yields and recommended row ratios from AICRP and ICRISAT cropping-systems trials. Pick a pair to pre-fill, or use the custom option for your own figures.

Reference intercrop pairs, sole yields and row ratios
Component AComponent BSole ASole BRow ratioSource
MaizeSoybean5.2 t/ha1.6 t/ha2:2AICRP maize-based systems
MaizeCowpea5 t/ha1.2 t/ha1:1AICRP
SorghumPigeonpea3.6 t/ha1.1 t/ha2:1ICRISAT classic
Pearl milletGroundnut2.8 t/ha1.8 t/ha1:3AICRP rainfed
CottonGreengram2.2 t/ha0.9 t/ha1:1AICRP cotton systems
SugarcaneOnion80 t/ha18 t/ha1:2AICRP sugarcane
WheatMustard4.4 t/ha1.5 t/ha6:2AICRP wheat systems
GroundnutPigeonpea1.9 t/ha1.1 t/ha4:2ICRISAT
MaizeFrench bean5 t/ha1.4 t/ha1:1hill-zone AICRP
RedgramBlackgram1.2 t/ha0.8 t/ha1:2AICRP pulses
MaizeBlackgram5 t/ha0.9 t/ha2:1AICRP
MaizeGroundnut5.2 t/ha1.8 t/ha1:3AICRP
SorghumCowpea3.2 t/ha1 t/ha2:1ICRISAT
SorghumGreengram3 t/ha0.8 t/ha2:1AICRP
Pearl MilletPigeonpea2.8 t/ha1.2 t/ha3:1ICRISAT
Pearl MilletCowpea2.6 t/ha0.9 t/ha2:1AICRP
Finger MilletPigeonpea2.5 t/ha1.1 t/ha8:2AICRP
WheatChickpea4 t/ha1.5 t/ha2:1AICRP
WheatLentil3.8 t/ha1.1 t/ha3:1AICRP pulses
ChickpeaMustard1.6 t/ha1.3 t/ha6:2AICRP
PigeonpeaGreengram1.3 t/ha0.8 t/ha1:2AICRP pulses
PigeonpeaSoybean1.4 t/ha2 t/ha1:2ICRISAT
CottonSoybean2.2 t/ha2 t/ha1:1AICRP cotton
CottonBlackgram2.1 t/ha0.9 t/ha1:1AICRP
GroundnutSunflower1.8 t/ha1.6 t/ha6:2AICRP
SugarcanePotato80 t/ha22 t/ha1:1ICAR horticulture
SugarcaneWheat80 t/ha4 t/ha1:3AICRP
PotatoMustard22 t/ha1.3 t/ha6:2ICAR horticulture
MaizePotato5 t/ha21 t/ha1:1ICAR
SugarcaneGreengram80 t/ha0.8 t/ha1:2AICRP
BananaTurmeric45 t/ha25 t/ha1:2ICAR horticulture
CoconutCocoa12 t/ha1 t/ha1:2ICAR plantation
ArecanutBanana3 t/ha40 t/ha1:1ICAR plantation
RedgramGroundnut1.3 t/ha1.8 t/ha1:7AICRP pulses
CastorGreengram1.8 t/ha0.8 t/ha1:2AICRP oilseeds
RiceGreengram4.5 t/ha0.8 t/ha1:1ICAR
TomatoOnion30 t/ha25 t/ha1:2ICAR horticulture
CabbageFrench Bean28 t/ha8 t/ha1:1ICAR horticulture

Sources: Willey & Rao (1980), Expl. Agric. 16:117-125; de Wit relative crowding coefficient; ICAR-AICRP on Cropping Systems methodology manual; ICRISAT intercropping trials.

Beyond LER: who is out-competing whom

The Land Equivalent Ratio is the headline number for intercropping — above 1 and the mixture beats sole crops on land use. But LER alone hides what is happening between the two crops. A high LER can come from one component thriving while the other is badly suppressed, which is fragile and unbalanced. The competition indices — aggressivity, competitive ratio, the de Wit relative crowding coefficient and actual yield loss — open that black box and tell you which component is winning, by how much, and whether the row ratio is feeding that imbalance.

This tool computes all of them from sole and intercrop yields and the row ratio, then translates them into a plain recommendation: keep the ratio if the crops are balanced, or shift rows toward the suppressed crop if one dominates. The competition seesaw visualises the tilt live. Use it with the Intercropping LER and Alley Cropping tools to design a stand that is both productive and balanced.

See who dominates

Aggressivity and CR name the winning crop and by how much.

Tune the row ratio

Get a clear keep-or-shift recommendation for the stand.

Confirm the advantage

LER and crowding K together confirm a real land-use gain.

Audit the loss

Actual yield loss shows each crop's true cost in the mixture.

Frequently Asked Questions

What is the difference between LER and aggressivity?+

LER (Land Equivalent Ratio) tells you whether the intercrop is more productive than sole crops overall — it is the sum of each component's partial LER (intercrop yield ÷ sole yield), and a value above 1 means a yield advantage. Aggressivity tells you which component is winning the competition: Aab = (Ya ÷ (Sa·Za)) − (Yb ÷ (Sb·Zb)). LER answers 'is it worth it', aggressivity answers 'who is dominating'.

How do I read the aggressivity value?+

If aggressivity (Aab) is positive, component A is the dominant, more competitive crop; if negative, component B dominates; near zero, the two are evenly matched. The further from zero, the stronger the imbalance. The tool flags A or B as dominant when the magnitude exceeds 0.1 and recommends shifting the row ratio toward the suppressed component.

What is the competitive ratio?+

The competitive ratio (CR) refines aggressivity by accounting for the sown proportions: CRa = (La ÷ Lb) × (Zb ÷ Za). A CRa above 1 means component A is more competitive per unit area sown than B. Unlike aggressivity, CR is a ratio, so it is easy to say 'A is 1.8 times as competitive as B'. The dominant crop has CR above 1 and the suppressed crop below 1.

What is the relative crowding coefficient?+

The relative crowding coefficient (K), from de Wit, measures how much a component crowds out its partner relative to itself. Kab = (Ya·Zb) ÷ ((Sa−Ya)·Za). If a component's K is above 1 it produced more than expected in the mixture; the product K = Kab × Kba above 1 indicates a yield advantage from the combination, consistent with LER above 1.

What is actual yield loss (AYL)?+

AYL compares each component's intercrop yield per unit area it occupied against its sole yield: AYLa = (Ya ÷ Za) ÷ Sa − 1. A positive AYL means that component actually yielded more per unit of its land than as a sole crop; negative means it lost. The total AYL sums both and shows the net behaviour of the system beyond the simple LER.

How does the row ratio enter the calculation?+

The row ratio sets the sown proportions Za and Zb. A 2:1 maize-to-pigeonpea stand gives Za = 0.667 and Zb = 0.333. These proportions appear in aggressivity, competitive ratio, crowding and actual yield loss, because each index asks how a component performed relative to the share of land it was given. Change the ratio and every competition index changes.

Should I change my row ratio if one crop dominates?+

Usually yes, if the goal is a balanced harvest of both crops. When one component is strongly dominant, reducing its rows or adding rows of the suppressed crop re-balances the stand and often raises the total LER by letting the weaker crop contribute more. If you only want the dominant crop and the legume is a bonus, you may keep the ratio — the tool's recommendation assumes you value both.

What does an LER above 1 actually mean?+

It means you would need more than one hectare of sole crops to produce what the intercrop produces on one hectare. An LER of 1.3 means a 30 percent land-use advantage — the same yields would need 1.3 ha as monocultures. This is the classic justification for intercropping, and it usually comes from the two crops using light, water and nutrients at different times or depths.

Which crop pairs are built in?+

The tool includes ten reference pairs from AICRP and ICRISAT cropping-systems trials — maize-soybean, maize-cowpea, sorghum-pigeonpea, pearl millet-groundnut, cotton-greengram, sugarcane-onion, wheat-mustard, groundnut-pigeonpea, maize-French bean and redgram-blackgram — each with sole yields and a recommended row ratio, plus a custom option for your own figures.

Do the two crops need the same yield unit?+

Yes. As long as both sole and intercrop yields for the two components share a consistent unit (t/ha or kg/ha), the indices are ratios and the unit cancels out. Do not mix tonnes for one crop and kilograms for the other, or the partial LERs and every derived index will be wrong.

Can intercropping ever lose compared with sole crops?+

Yes — if the LER falls below 1, the intercrop produced less than the sole crops would on the same land, usually because one crop suppressed the other too severely. A strongly negative aggressivity with a low LER is the warning sign. In that case widen the gap, change the ratio toward the weaker crop, or reconsider the pairing.

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