The formula to calculate the Average Recurrence Interval (ARI) is:
\[ \text{ARI} = \frac{Y}{E} \]
Where:
The average recurrence interval (ARI) is a statistical measure used in hydrology, seismology, and other fields to estimate the average time interval between events of a certain magnitude or intensity. It is commonly used to assess the risk of natural disasters such as floods, earthquakes, and storms. The ARI provides an indication of how often an event of a specific size can be expected to occur on average over a long period. For example, a 100-year flood has an ARI of 100 years, meaning that, on average, such a flood is expected to occur once every 100 years.
Let's assume the following values:
Using the formula to calculate the Average Recurrence Interval:
\[ \text{ARI} = \frac{50}{5} = 10 \]
The Average Recurrence Interval (ARI) is 10 years.
