Ecology & populations · SL/HL

Population growth

Find absolute, percentage and average population changes.

Your values

Number formats & units

Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.

Population Growth Rate Calculator inputs

Calculated locally. No account or input upload.

Result & working

Example

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Formula & example

The relationship

ΔN=N2−N1\Delta N=N_2-N_1
average growth rate=ΔNΔt\text{average growth rate}=\frac{\Delta N}{\Delta t}
percentage change=ΔNN1×100%\text{percentage change}=\frac{\Delta N}{N_1}\times100\%
What the variables mean
SymbolMeaning
NNPopulation size.

Worked example

Initial population
1200
Final population
1500
Time interval
3
Time unit
years

100 individuals/years

Follow the example steps
  1. ΔN = 1500 − 1200 = 300
  2. average rate = ΔN/Δt = 300/3 = 100 per years
  3. percentage change = 300/1200 × 100 = 25%

Common mistakes

Distinguish the absolute change from the percentage change.

Incorrect approach

N₀ = 100, N₁ = 120: ΔN = 20%

Correct approach

ΔN = 20; 100 × ΔN/N₀ = 20%

More checks before you submit
  • A percentage increase and an absolute increase answer different questions.
Method notes

This is an average over the interval, not an instantaneous logistic-growth model.