Download page Task 4. Fit the Log Pearson Type III Distribution to Each Annual Maximum Series.
Task 4. Fit the Log Pearson Type III Distribution to Each Annual Maximum Series
All-Season
Now that you have extracted mixed population, summer-only, and winter-only annual maximum series, you will create a Bulletin 17 analysis to fit the Log Pearson Type III analytical distribution to each annual maximum series.
Select Analysis | New | Bulletin 17 Flow Frequency.
Name the new analysis “Mixed_B17C” and add an adequate description.
Select the Mixed Peaks data set.
Ensure the 17C EMA method is selected within the Method for Computing Statistics and Confidence Limits panel.
This will automatically select other features including the Multiple Grubbs-Beck low outlier test and Hirsch/Stedinger Plotting Positions.
The General tab should resemble the following figure.
Move to the EMA Data.
Ensure that the Flow Ranges table contains a low and high value for every single year in the analysis period. The completed EMA Data tab should resemble the following figure.
Click Compute.
Click Plot Curve. This will result in the computed curve, 5- and 95-percent confidence limits, and observed events being plotted. The plot should resemble the following figure.
Close the computed curve window.
Move to the Tabular Results tab.
Note the computed curve, 5-, and 95-percent confidence limits for all of the desired frequency ordinates, the moments/parameters of the Log Pearson Type III fit to the data, and other data related to the analysis.
Summer Season
Repeat the previous steps to fit an LPIII distribution to the summer season annual maximum series, creating a new Bulletin 17 analysis for just the summer peaks.
Winter Season
Repeat the previous steps to fit an LPIII distribution to the winter season annual maximum series, creating a new Bulletin 17 analysis for just the winter peaks.
Question 1: Fill out the following table with the LPIII parameters for each analysis.
Parameter
Analysis
Mixed_B17C
Summer_Peaks_B17C
Winter_Peaks_B17C
Mean
Std. Dev.
Skew
Parameter
Analysis
Mixed_B17C
Summer_Peaks_B17C
Winter_Peaks_B17C
Mean
3.565
3.369
3.498
Std. Dev.
0.225
0.284
0.218
Skew
0.223
0.320
-0.024
The following figure compares the flow-frequency curves for the Summer, Winter, and Mixed B17C analyses.