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Site-Specific Estimation of Peak-Streamflow Frequency Using Generalize Least-Squares Regression for Natural Basins In Texas

Water-Resources Investigations Report 99-4172
 
By William H. Asquith and Raymond M. Slade, Jr.


Appendix


5 | Asquith: txfreq.sun


TEXAS SITE-SPECIFIC FLOOD FREQUENCY PROGRAM
version 1.01
U.S. Geological Survey, Austin, Texas
developed in cooperation with the Texas Department of Transportation


This program computes estimates of T-year floods for ungaged stream sites within natural basins in Texas based on a non-fixed boundary generalized least-squares multivariate regression. The user enters a site identifier, latitude and longitude, drainage area and other basin characteristics for the ungaged site. The program selects gaged sites with similar basin characteristics and performs a multivariate generalized least-squares regression analysis.


Selection Option:
   Warning No. 1 --> (1) Different T-year Discharges
   Warning No. 2 --> (2) Use of Resulting Equation
Continue Program --> (3) ---
3
   Enter file name for FULL output:
example_for_text_full.out
  Enter file name for SUMMARY output:
example_for_text_sum.out
   Enter file name for STATION DATA output:
example_for_test_sta.out
   English or Metric units (E/M)?
e
   Enter site id (up to 30 characters)
Guadalupe River site for example in text
   Enter site latitude (dd mm ss)
29 58 10
   Enter site longitude (dd mm ss)
98 53 33
   Enter drainage area, shape, slope (mi^2, --, ft/mi)
    (enter a value less than or equal to zero if unknown)
839 5.65 15.01

   Summary of the ungaged site: Guadalupe River site for examp
 
    Latitude:  29.d 58.m 10.s 
   Longitude:  98.d 53.m 33.s 
   Drainage Area        =   839.
   Basin-Shape Factor   =   5.6500001
   Stream Slope         =   15.0100002

   Enter no. of stations to 'pool' or regionalize together
30

   Use only DRAINAGE AREA otherwise SLOPE and SHAPE
    will also be considered (Y for AREA/ N for ALL)
n
   Program considering AREA, SHAPE, and SLOPE

   Station Selection Criteria (see text for more details):
    (1) PROXIMITY: Drainage Area bounded by 1.5 log10 cycles
    (2) SIMILARITY: Drainage Area, Basin Shape, Stream Slope, and Distance
    (3) SIMILARITY: Drainage Area and Distance
   Enter (1,2,3) or (1,3 only if no shape or slope):
1

IMPORTANT NOTE--

It is important that all the peak-streamflow frequency should be based on the same execution of the program using the same assumptions, in order to minimize the possibility of producing discharge values that would not be appropriately proportional to their recurrence interval.

Also, it is inappropriate to select the T-year estimate from one run of the program and a different T-year estimate from another run of the program.

By using all T-year estimates from one run, the user is unlikely to encounter the situation in which the streamflow value for one recurrence interval is LARGER than the streamflow value for a HIGHER recurrence interval.


664 stations were read in
The concurrent record matrix has been filled
Std Deviations of independent variables calculated
  Calculating distances to all 664 stations
  BEGIN GLS REGRESSION


  UNGAGED SITE PREDICTION (cubic feet per second)
      T-year    Prediction
      2-year    11526.30

  PREDICTION ERRORS AND LIMITS                         Sqroot (log10)
          Standard Error of Prediction:   45.59 percent
      Std Error Variance of Prediction:    0.0356 --->  0.1887
 Sampling Error Variance of Prediction:    0.0026 --->  0.0505
  
  Prediction Limits     Upper         Lower
      90-percent     24142.4062  5502.99561   Limits are two-
      67-percent     17731.9844  7492.42383   tailed, or ___%
      50-percent     15509.0986  8566.30176   bounding limits.



  UNGAGED SITE PREDICTION (cubic feet per second)
      T-year    Prediction
      5-year    34333.87

  PREDICTION ERRORS AND LIMITS                         Sqroot (log10)
          Standard Error of Prediction:   27.67 percent
      Std Error Variance of Prediction:    0.0139 --->  0.1180
 Sampling Error Variance of Prediction:    0.0019 --->  0.0433
  
  Prediction Limits     Upper         Lower
      90-percent     54539.3047  21614.0352   Limits are two-
      67-percent     44951.707   26224.0195   tailed, or ___%
      50-percent     41337.3398  28516.9395   bounding limits.



  UNGAGED SITE PREDICTION (cubic feet per second)
      T-year    Prediction
     10-year    56603.20

  PREDICTION ERRORS AND LIMITS                         Sqroot (log10)
          Standard Error of Prediction:   24.54 percent
      Std Error Variance of Prediction:    0.0110 --->  0.1050
 Sampling Error Variance of Prediction:    0.0019 --->  0.0433
  
  Prediction Limits     Upper         Lower
      90-percent     85462.9609  37489.0156   Limits are two-
      67-percent     71949.2188  44530.3281   tailed, or ___%
      50-percent     66775.3203  47980.6406   bounding limits.



  UNGAGED SITE PREDICTION (cubic feet per second)
      T-year    Prediction
     25-year    95543.52

  PREDICTION ERRORS AND LIMITS                         Sqroot (log10)
          Standard Error of Prediction:   26.06 percent
      Std Error Variance of Prediction:    0.0124 --->  0.1113
 Sampling Error Variance of Prediction:    0.0023 --->  0.0479
  
  Prediction Limits     Upper         Lower
      90-percent     147852.906  61740.8555   Limits are two-
      67-percent     123200.211  74095.3594   tailed, or ___%
      50-percent     113832.133  80193.2109   bounding limits.



  UNGAGED SITE PREDICTION (cubic feet per second)
      T-year    Prediction
     50-year    129000.65

  PREDICTION ERRORS AND LIMITS                         Sqroot (log10)
          Standard Error of Prediction:   27.02 percent
      Std Error Variance of Prediction:    0.0133 --->  0.1153
 Sampling Error Variance of Prediction:    0.0027 --->  0.0516
 
  Prediction Limits     Upper         Lower
      90-percent     202908.438  82013.1875   Limits are two-
      67-percent     167899.172  99114.0547   tailed, or ___%
      50-percent     154678.094  107585.805   bounding limits.



  UNGAGED SITE PREDICTION (cubic feet per second)
      T-year    Prediction
    100-year    171309.83

  PREDICTION ERRORS AND LIMITS                         Sqroot (log10)
          Standard Error of Prediction:   31.89 percent
      Std Error Variance of Prediction:    0.0183 --->  0.1351
 Sampling Error Variance of Prediction:    0.0034 --->  0.0579
  
  Prediction Limits     Upper         Lower
      90-percent     291301.75   100744.539   Limits are two-
      67-percent     233311.5    125784.883   tailed, or ___%
      50-percent     211927.172  138477.094   bounding limits.


END OF ANALYSIS

Writing the data for the 30
6 | Asquith:


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For more information, contact Will Asquith
Last modified August 31, 1999
URL: https://water.usgs.gov/lookup/get?wri994172