How to use the equilibrium population under harvest calculator
Find the stable population size of a logistic population that is harvested at a constant rate. Enter intrinsic growth rate, carrying capacity, harvest rate in the fields above; the stable population with harvest, harvest status are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “harvest equilibrium population”, “constant harvest population”, “sustainable harvest rate”, “calculate equilibrium population under harvest”, “find stable population with harvest”.
Formula
Variables
- r — Intrinsic growth rate
- K — Carrying capacity (individuals)
- H — Harvest rate (individuals per year)
Worked example
With intrinsic growth rate = 0.4, carrying capacity = 1000 individuals, harvest rate = 60 individuals per year, the calculator gives stable population with harvest ≈ 816.2278 individuals; harvest status ≈ Sustainable harvest text.
Frequently asked questions
What is the equilibrium population under harvest calculator used for?
Find the stable population size of a logistic population that is harvested at a constant rate. It helps with questions such as “harvest equilibrium population”, “constant harvest population”, “sustainable harvest rate”.
What is the formula for the equilibrium population under harvest calculation?
Stable population with harvest (individuals) = K / 2 × (1+√(1-4 × H / (r × K))). Harvest status (text) = 4 × H / (r × K)<1?"Sustainable harvest":"Population collapses". Here r is intrinsic growth rate, K is carrying capacity (individuals), H is harvest rate (individuals per year).
What inputs do I need for the equilibrium population under harvest calculator?
You need intrinsic growth rate, carrying capacity in individuals, harvest rate in individuals per year. 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 equilibrium population under harvest 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 equilibrium population under harvest 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.