MHB Flood Frequency & Return Interval: 100-Year Analysis

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Flood frequency can be calculated by dividing the number of floods by the total years of record, resulting in a frequency of 5 floods per 100 years, or 1 flood every 20 years on average. However, this average does not guarantee that floods will occur at regular intervals. The return interval is a statistical estimate and can vary significantly over time. Therefore, while the average suggests a flood every 20 years, actual occurrences may differ. Understanding these concepts is crucial for effective flood risk management.
Varanus
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if in 100 years of records you have had floods in five of those years is the flood frequency 5 per 100 years ?

and would the flood return interval be every 20 years?
 
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Yes, the frequency is 5/100= 1/20 years per flood. There will be an average of one flood every 20 year but that is only an average.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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