Find the required data, which will be the number of occurrences and the number of years observed. As an example, five floods recorded in 100 years.
Use the formula: Recurrence Interval equals the number of years on record divided by the number of events.
Plug in your data and calculate the recurrence interval. In the example, 100 years divided by five occurrences produces a recurrence interval of 20 years.
Order your data data by severity of the event, numbered from most severe to least severe, such that the most severe is numbered one. This gives you the magnitude rank on a descending scale, i.e. the higher the rank, the less severe the event. Count the total number of years on record.
Use the formula: Recurrence Interval equals the number of years, plus one, divided by the magnitude rank for which you wish to calculate the recurrence interval.
Recurrence Interval = (Years + 1) / Rank
Plug in your data to calculate the recurrence interval. Say you wanted the recurrence interval for the fourth-worst flood in 100 years. Then 100 plus 1 equals 101. Divide that by 4, i.e., because the fourth-worst flood would have a magnitude rank of 4, and you get a recurrence interval of 25.25 years. This tells you that on average, a flood of that severity or more occurs every 25.25 years.