How to use the maximum sustainable yield calculator
Find the largest harvest a population can sustain indefinitely under logistic growth. Enter intrinsic growth rate, carrying capacity in the fields above; the maximum sustainable yield, population at maximum yield are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “maximum sustainable yield”, “MSY fishery”, “harvest limit for population”, “calculate maximum sustainable yield”, “find maximum sustainable yield”.
Formula
Variables
- r — Intrinsic growth rate
- K — Carrying capacity (individuals)
Worked example
With intrinsic growth rate = 0.5, carrying capacity = 1000 individuals, the calculator gives maximum sustainable yield ≈ 125 individuals per year; population at maximum yield ≈ 500 individuals.
Frequently asked questions
What is the maximum sustainable yield calculator used for?
Find the largest harvest a population can sustain indefinitely under logistic growth. It helps with questions such as “maximum sustainable yield”, “MSY fishery”, “harvest limit for population”.
What is the formula for the maximum sustainable yield calculation?
Maximum sustainable yield (individuals per year) = r × K / 4. Population at maximum yield (individuals) = K / 2. Here r is intrinsic growth rate, K is carrying capacity (individuals).
What inputs do I need for the maximum sustainable yield calculator?
You need intrinsic growth rate, carrying capacity in individuals. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the maximum sustainable yield calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the maximum sustainable yield result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.