Intrinsic Rate of Increase Calculator

Calculate the intrinsic rate of natural increase (r) using multiple methods for population ecology analysis.

Calculation Method

Euler-Lotka: Σ(e^(-rx) · lx · mx) = 1
Lambda: λ = e^r (finite rate of increase)

Intrinsic Rate of Increase (r)

0.0700

Positive Growth

Lambda (λ)
1.0725
Doubling Time
9.90
R₀
1.419
Growth %
7.25%

Population Projection (N₀=100)

TimeContinuousDiscrete
0100.0100.0
1107.3107.3
2115.0115.0
3123.4123.4
4132.3132.3
5141.9141.9
6152.2152.2
7163.2163.2
8175.1175.1
9187.8187.8
10201.4201.4