This question checks which of the two standard density to yield curve shapes taught in crop production applies when a crop is cut for fodder instead of grain.
- Asymptotic: As fodder crops are grown at higher and higher density, each added plant still contributes some green matter, so total yield keeps climbing, but the gain per extra plant keeps shrinking, and the curve flattens near a maximum instead of falling. This matches how fodder biomass behaves.
- Linear: This would mean every extra plant adds exactly the same amount of yield no matter how crowded the field becomes, which is not possible once resources like light and water run short.
- Parabolic: This shape rises to a peak and then drops as density rises further. It describes grain or seed yield, where overcrowding directly reduces the number of seeds each plant sets, not the vegetative bulk that fodder crops are cut for.
- Exponential: This would mean yield keeps speeding up as density rises, which never happens in a real field because of resource limits.
Since fodder is harvested as total green matter and not as seed, yield keeps rising with population but the rate of increase steadily drops, giving a curve that approaches a ceiling rather than turning down.
Let's summarize:
- Grain and seed crops show a parabolic density to yield curve because crowding cuts seed set.
- Fodder and forage crops show an asymptotic density to yield curve because biomass keeps building up, only slower, as density rises.
So the correct relationship between plant population and yield in fodder crops is asymptotic.