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Analysis Techniques: Flood Analysis Example with Instaneous
Excel functions can also be used to calculate the variance (=VAR( ) ), standard deviation (=STDEV( ) ), and skewness coefficient (=SKEW( ) ) Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
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Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 1 -Analysis Techniques: Flood Analysis Example with
Instaneous Peak Flow Data (Log-Pearson Type III
Distribution)
Information to get started:
The lesson below contains step-by-step instructions and "snapshots" of what each step looks like when carried out in a Microsoft Excel workbook. Blue shading of information in the Excel illustrations denotes changes made from the previous step. Dots placed in three consecutive rows indicate that a portion of data is hidden from sight. You can download an Excel workbook containing the complete data set by clicking on the "Download Data" link below. It contains each calculation step on a separate worksheet. To move between steps, click on the tabs at the bottom of the excel window. When you download the file, it may open in your browser window. You may wish to use the "save as" function to save the file to a local drive and then reopen it in Excel. This will make it easier to flip between the online lesson and the example workbook. Finally, we want to remind you that the techniques explained on this site are statistically based; therefore results must be viewed as predictions and not as facts. Please use the techniques and the information obtained from them responsibly!Download Data
Step 1: Obtain streamflow data
Obtain instantaneous peak streamflow data from the USGS web site.Go to http://oregon.usgs.gov
Select Historical Water Data
Select Surface Water
Select Peaks
Check box under Site Identifier for Site Name and Submit Type in Alsea under Site Name and select match any part and SubmitSelect gage at TIDEWATER (140306500)
Select Tab-separated data
For the example, copy entire data set into Excel worksheet Paste special as text (this will separate the data into columns)Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 2 -Step 2: Organize the information in a table.
Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 3 - Step 3: Rank the data from largest discharge to smallest discharge. Add a column for Rank and number each streamflow value from 1 to n (the total number of values in your dataset).Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 4 - Step 4: Create a column with the log of each max or peak streamflow using the Excel formula {log (Q)} and copy command. Step 5: Calculate the Average Max Q or Peak Q and the Average of the log (Q)Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 5 - Step 6: Create a column with the excel formula {(log Q - avg(logQ))^2} Step 7: Create a column with the excel formula {(log Q - avg(logQ))^3Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 6 - Step 8: Create a column with the return period (Tr) for each discharge using Excel formula {(n+1)/m}. Where n = the number of values in the dataset and m = the rank. Step 9: Complete the table with a final column showing the exceedence probabilityof each discharge using the excel formula {=1/Return Period or 1/Tr} and the copy command.Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 7 - Step 10: Calculate the Sum for the {(logQ - avg(logQ))^2} and the {(logQ - avg(logQ))^3} columns. Step 11: Calculate the variance, standard deviation, and skew coefficient as follows: variance = standard deviation = skew coefficient = Excel functions can also be used to calculate the variance (=VAR( ) ), standard deviation (=STDEV( ) ), and skewness coefficient (=SKEW( ) ).Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 8 -Step 12: Calculate weighted skewness
Show Me
Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 9 -Step 13: Calculate k values
x Use the frequency factor table and the skew coefficient to find the k values for the2,5,10,25,50,100, and 200 recurrence intervals.
x If the skew coefficient is between two given skew coefficients in the table than you can linearly extrapolate between the two numbers to get the appropriate k value. To view the frequency factor table click on the "show me" link below.Show Me
Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 10 - Step 14: Using the general equation, list the discharges associated with each recurrence interval general equation =Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 11 - Step 15: Create table of Discharge values found using the log -Pearson analysis
Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 12 -Step 16: Create Plot
Analysis Techniques: Flood Frequency Analysis Example with Instantaneous Peak Data from Streamflow Evaluations for
Watershed Restoration Planning and Design, http://water.oregonstate.edu/streamflow/, Oregon State University, 2002-2005.
- 13 - Below is a comparison of flood frequency analysis completed using mean daily data versus instantaneous discharge data. As can be seen, had you completed this analysis using mean daily data, the result would have been an underestimation of the discharges associated with each return period.quotesdbs_dbs8.pdfusesText_14