Specific Growth Rate Calculator

Formula

To calculate the specific growth rate (\(SGR\)):

\[ SGR = \left( \ln(WE) - \ln(WB) \right) \times \frac{100}{t} \]

Where:

\(SGR\) is the specific growth rate (%)
\(WB\) is the weight at the beginning of the period (g)
\(WE\) is the weight at the end of the period (g)
\(t\) is the period length (days)

What is Specific Growth Rate?

The specific growth rate (\(SGR\)) is a measure of the growth of an organism or population over a specific period. It is calculated by taking the natural logarithm of the weight at the end of the period, subtracting the natural logarithm of the weight at the beginning of the period, and then dividing by the period length. This value is then multiplied by 100 to express it as a percentage. The specific growth rate is important for understanding growth dynamics in various fields such as biology, aquaculture, and agriculture.

Example Calculation 1

Let's assume the following values:

Weight at Beginning (\(WB\)) = 50 g
Weight at End (\(WE\)) = 100 g
Period Length (\(t\)) = 10 days

Using the formula:

\[ SGR = \left( \ln(100) - \ln(50) \right) \times \frac{100}{10} = 6.931 \% \]

The specific growth rate is 6.931 %.

Example Calculation 2

Let's assume the following values:

Weight at Beginning (\(WB\)) = 30 g
Weight at End (\(WE\)) = 60 g
Period Length (\(t\)) = 15 days

Using the formula:

\[ SGR = \left( \ln(60) - \ln(30) \right) \times \frac{100}{15} = 4.615 \% \]

The specific growth rate is 4.615 %.