Mooloolah Rive : Flow duration curves and a flood frequency analysis in R - R Programming Assignment

Question : For the Mooloolah River at Mooloolah gauging station, you have been tasked with implementing flow duration curves and a flood frequency analysis in R. The flood frequency analysis you are required to undertake is to fit a flood probability model to the Annual Maximum Series. The following steps are required to be implemented in knitr and uploaded to Bb. You should include both the .Rmd and html or pdf files that are produced.

1. Construct three flow duration curves using (i) all the data, (ii) the low flow months, and (iii) the high flow months. You will need to first construct a monthly Box and Whisker plot to determine the months to include in each category.
2. Extract the Annual Maximum Series from the daily data, and compare with the Annual Maximum Series extracted from the annual data (from the Qld Water Monitoring Portal).
3. Construct three empirical distribution functions (or probability plots) using the Annual Maximum Series and the three plotting position formula.
4. Fit a distribution to the plot and comment on it’s fit and why you chose it.
5. Apply confidence limits to the distribution.
6. Comment on the largest flood in the record, and estimate it’s AEP.