QUESTION B2 (19 marks) You are now given a series of annual maximum streamflow values (m3/s) for the same catchment. Ann

[answerhappygod]

Question B2 19 Marks You Are Now Given A Series Of Annual Maximum Streamflow Values M3 S For The Same Catchment Ann 1 (153.96 KiB) Viewed 27 times

QUESTION B2 (19 marks) You are now given a series of annual maximum streamflow values (m3/s) for the same catchment. Annual Maxima Year (m3/s) 1 15 2 16.2 3 22.0 4 11.8 5 14.8 (a) Using this data, estimate the flood with a recurrence interval of 2 years. State any assumptions you make in your answer. [2 marks] (b) Suppose a culvert in this catchment has a design life of 5 years. What is the probability that exactly three 2-year AEP events occur during the design life? [2 marks] Hint: P = (2)p* (1 - p)n-k (c) Explain three ways you could estimate the 1 in 1000 AEP flood for this catchment, and list the main uncertainty for each method in doing so. You can assume you have been given basic data on the catchment location and characteristics [6 marks] (d) Calculate the first three L moments of the data (i.e. n = 0) [3 marks] (e) Explain the expected difference in your answer for the first moment (¹) if you were to instead calculate the LH moments for a shift of n = 1. Why would you choose to use LH moments instead of L moments? Note you do not have to do any calculations for this question [3 marks] (f) Now assume you have been asked to fit a model for the data using a Bayesian analysis. What would be the benefits in using Bayesian inference over L-moments for this data? [3 marks]