Kevin Barton
New Member
- Joined
- Jan 8, 2021
- Messages
- 5
- Office Version
- 365
- Platform
- MacOS
I want to generate a series of values that would form a classic bell-curve shape if plotted on a graph, starting at zero rising to a max and descending again to zero, in a curve that maintains a prescribed average.
The application is to generate a series of rainfall data sets using a defined duration of storm (eg. 120 minutes) and average rainfall intensity (eg. 50mm per hour) with each set having a different maximum intensity (Eg. 75mm/hr; 100mm/hr; 125mm/hr, etc).
The data set will express the rainfall intensity for each 5 minute interval of the storm.
The first and last 5 minute interval will be near 0mm/hr of rainfall as it’s just starting or about to stop raining, whilst the peak rainfall intensity will be at the centre of the data/duration at the 60 minute mark.
The input variables will be:
If plotted on a graph three versions of this storm data with differing maximum intensities will look something like this (but with all lines starting and finishing on zero). Ignore X and Y axes/values - it illustrates the different shapes of curve generated by achieving different maximums whilst maintaining the same average - thinner pronounced curve for higher max. and flatter curve for lower max.:
Many thanks.
The application is to generate a series of rainfall data sets using a defined duration of storm (eg. 120 minutes) and average rainfall intensity (eg. 50mm per hour) with each set having a different maximum intensity (Eg. 75mm/hr; 100mm/hr; 125mm/hr, etc).
The data set will express the rainfall intensity for each 5 minute interval of the storm.
The first and last 5 minute interval will be near 0mm/hr of rainfall as it’s just starting or about to stop raining, whilst the peak rainfall intensity will be at the centre of the data/duration at the 60 minute mark.
The input variables will be:
- Duration
- Average rainfall intensity
- Maximum rainfall intensity
If plotted on a graph three versions of this storm data with differing maximum intensities will look something like this (but with all lines starting and finishing on zero). Ignore X and Y axes/values - it illustrates the different shapes of curve generated by achieving different maximums whilst maintaining the same average - thinner pronounced curve for higher max. and flatter curve for lower max.:
Many thanks.