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Relative Growth Rate Calculator

Formula

The formula to calculate the Relative Growth Rate (RGR) is:

$\text{RGR} = \frac{\ln(S2) - \ln(S1)}{t2 - t1}$

Where:

$\text{RGR}$ is the Relative Growth Rate
$S2$ is the size at Time 2
$S1$ is the size at Time 1
$t2 - t1$ is the change in time between Time 2 and Time 1 (in days)
$\ln$ denotes the natural logarithm

What is Relative Growth Rate?

Relative Growth Rate (RGR) measures the rate at which a population, organism, or system grows in relation to its initial size over a specific time period.

It is calculated using the natural logarithm of the ratio of sizes at two different times divided by the time difference between those two times.

Example

If:

Size at Time 1 ( $S1$ ) = 10 units
Size at Time 2 ( $S2$ ) = 30 units
Time 1 ( $t1$ ) = 0 days
Time 2 ( $t2$ ) = 10 days

Calculate the Relative Growth Rate:

$\text{RGR} = \frac{\ln(30) - \ln(10)}{10 - 0}$

$\text{RGR} = \frac{3.401 - 2.302}{10}$

$\text{RGR} = \frac{1.099}{10} = 0.11 \text{ units per day}$

Therefore, the Relative Growth Rate (RGR) is 0.11 units per day.