The Logistic Growth calculator computes the logistic growth based on the per capita growth rate of population, population size and carrying capacity.
INSTRUCTIONS: Choose units and enter the following:
- (rmax) Maximum per capita Growth Rate of population
- (N) Population Size
- (K) Carrying Capacity
Logistic Growth (dN/dt): The calculator returns the logistic growth rate in growth per day. However, this can be automatically converted to compatible units via the pull-down menu (e.g. growth per month).
The Math / Science
The growth rate of a population without constraints is exponential, where every new organism can reproduce at the rate it was produced. In reality, resources often limit the growth of a population as population sizes reach the limits that can be sustained by the resources available at hand. For this reason, a purely exponential model is inaccurate and a model that flattens as it reaches the capacity of the environment is more useful. The logistic growth model is one. It produces an s-shaped curve that maxes out at a boundary defined by a maximum carrying capacity.
The logistic growth formula is:
`(dN)/(dt) = r_max * N * ((K-N)/K)`
where:
- dN/dt - Logistic Growth
- rmax - maximum per capita growth rate of population
- N - population size
- K - carrying capacity
Growth Calculators
- Logistic Growth
- Malthusian Growth Model
- Organism Count (Logistic Growth)
- Max Potential Growth Rate (biotic potential)
- How Many Ancestors
- Simple Stats Calc - Simple observation statistics (see below)
- Math Statistics Calc - College level statistics and regression calculator.