United States       Office of Water       841-R-93-006
           Environmental Protection    Washington, D.C. 20460    January 1993
           Agency
oEPA     Post-Audit Verification Of
           The Model AGNPS In
           Vermont Agricultural
           Watersheds

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         POST-AUDIT VERIFICATION OF THE MODEL AGNPS
            IN VERMONT AGRICULTURAL WATERSHEDS
                      FINAL REPORT TO:
              ENVIRONMENTAL PROTECTION AGENCY
              NONPOINT SOURCE CONTROL BRANCH
                       SUBMITTED BY:

                        John C. Clausen
                 UNIVERSITY OF CONNECTICUT
DEPARTMENT OF NATURAL RESOURCES MANAGEMENT AND ENGINEERING
                       January 25, 1993

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                                    ABSTRACT

       The purpose of  this project was  to conduct a  verification  of the model  AGNPS
(Agricultural Non-Point Source Pollution Model, Ver. 2.52, 1988).  The observed runoff, and
concentration and mass  export of sediment, nitrogen, and phosphorus from  two Vermont
agricultural watershed were compared to  simulated values for a total  of 15 storms in one
watershed and 11 storms in another watershed. AGNPS underpredicted discharge except for the
largest (1-2 inch) storms. Sediment and nitrogen concentrations and exports were overpredicted
by AGNPS.  Predicted phosphorus concentrations were  of the same order of magnitude as
observed. Phosphorus exports were underpredicted. The differences between  observed and
predicted values obtained in this verification of AGNPS were greater than previously reported.
The testing of the model in a completely different climatic region may explain the differences
obtained in the accuracy of the model.
Trade names are used in this publication solely for the purpose of providing specific information.
Mention of a trade name does not constitute a guarantee or warranty of the product by the U.S.
Environmental Protection Agency or an endorsement by the Agency over other products not
mentioned.

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 ACKNOWLEDGEMENT






       This project was initially funded by the U.S. Environmental Protection Agency (EPA)




 Grant No. R-815362-01-0, and completed under EPA contract No. 68-CS-0013. Mr. Steven



 A. Dressing, EPA Project Officer for the grant,  is especially acknowledged for his guidance of



 this project.  Dr. Robert A.  Young, USDA- Agricultural Research Service, Morris, MN and




 model author, provided a great deal of advice and assistance in applying the model.  Most of



 the results presented in this report  are based on work conducted by Mr. Michael Cassara,  a




 graduate student in the School of Natural Resources, University of Vermont.  Mr. Donald W.



 Meals, Jr. is gratefully  acknowledged for his assistance in analyzing the climate data for the



 LaPlatte watershed and for his overall assistance in the project.  Mr. Jay Appleton assisted with



 the  geographic  information  system  (CIS)  programming.   Ms.  Bonnie  Bradshaw, an



 undergraduate student in the Department of Natural Resources Management and Engineering,



 University of Connecticut assisted with the one-cell runs. Significant review  comments  were



 provided by Mr.  Steven Dressing, Mr. Tom Davenport, and Mr. Bruce Zander, all of EPA, and



 Dr. Leslie Shoemaker of Tetra Tech, Inc. that greatly improved this report.  Both the School



of Natural Resources, University  of  Vermont and  the Department of Natural Resources



 Management and Engineering, University of Vermont are acknowledged for general support of



 this project.
                                         11

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                                 Table of Contents

                                                                               Page

Abstract	       i

Acknowledgement	       ii

List of Figures	       iv

List of Tables	       vi

Introduction	        1
       Summary of AGNPS	       3

Objectives	       8

Study Areas	       9

Approach	       13
       Model Verification	       13
       Methods	       18

Results and Discussion	       29
       Subwatershed 3	       29
      Jewett Brook	       45
       Single cell	.	       56
      Event extrapolations	s.	       61

Conclusions	       62
      Recommended Verification Procedure	        63

References	       65

Glossary	       68

Appendices	       70
      Hydrographs	       70
      Example input files	       97
                                        111

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LIST OF FIGURES

Figure

 1.  Vermont map showing location of the two study watersheds	    .  10

 2.  Land use map of Laplatte River Subwatershed 3, 1989	      11

 3.  Land use map of the Jewett Brook watershed, 1988	      12

 4.  Steps in mathematical model development	      14

 5.  Hydrograph for LaPlatte watershed 3 for September 21, 1983 storm	      19

 6.  Recording precipitation chart for storm on September 21, 1983, Hannah gage...      20

 7.  LaPlatte subwatershed  3 with 10-acre grid cells and cell drainage paths	      24

 8.  Jewett Brook watershed with 10-acre grid cells and cell drainage paths	      25

 9.  Plot of discharge volume observed in LaPlatte River Subwatershed 3 and predicted
      by AGNPS	      36

10.  Plot of peak discharge observed in LaPlatte River Subwatershed 3 and predicted
      by AGNPS	      36

11.  Plot of sediment concentrations observed in runoff from LaPlatte River Subwater-
      shed 3 and predicted by AGNPS	      39

12.  Plot of sediment export observed in  runoff from LaPlatte River Subwatershed 3
      and predicted by AGNPS	      39

13.  Plot of phosphorus concentrations observed in runoff from LaPlatte River Sub-
      watershed 3 and predicted by AGNPS	,	      41

14.  Plot of phosphorus export observed in runoff from LaPlatte River Subwatershed 3
      and predicted by AGNPS	      41

15.  Plot of nitrogen concentrations observed in runoff from LaPlatte River Subwater-
      shed 3 and predicted by AGNPS	      44

16.  Plot of nitrogen export observed in runoff from LaPlatte River Subwatershed 3
      and predicted by AGNPS	      44
                                        IV

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LIST OF FIGURES (Continued)

Figure                                                                      Page

17. Plot of discharge volume observed in Jewett Brook and predicted by AGNPS	     50

18. Plot of peak discharge observed in Jewett Brook and predicted by AGNPS	    50

19. Plot of sediment concentrations observed in Jewett Brook and predicted by AGNPS.  53

20. Plot of sediment export by Jewett Brook and predicted by AGNPS	    53

21. Plot of phosphorus concentrations observed in Jewett Brook and predicted by
      AGNPS	.	    55

22. Plot of phosphorus export by Jewett Brook and predicted by AGNPS	    55

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 LEST OF TABLES

 Table

  1.  AGNPS input parameters
 2.  Rainfall energy intensity (El) calculation for September 21, 1983 storm, Laplatte
       River Subwatershed 3	    22

 3.  AGNPS default values and appropriate Vermont values for model adaption	    28

 4.  Precipitation characteristics of modeled storms, LaPlatte River Subwatershed 3....    30

 5.  Comparison of predicted discharge, P and N using default and computed AMC
       and El values for two storms for LaPlatte Subwatershed 3	    31

 6.  Mean observed values and values predicted by AGNPS with relative errors and
       t-test between means for LaPlatte Subwatershed 3	    33

 7.  Root MSE and significance of regressions between observed and AGNPS pre-
       dicted values for the LaPlatte Subwatershed 3	    34

 8.  Discharge observed from LaPlatte River Subwatershed 3 and  predicted by
       AGNPS	    35

 9.  Sediment observed in runoff from LaPlatte River Subwatershed 3 and predicted by
       AGNPS	   38

 10.  Total phosphorus observed in runoff from LaPlatte River Subwatershed 3 and
       predicted by AGNPS	.	    40
t
 11.  Nitrogen  observed in runoff from LaPlatte River Subwatershed 3 and predicted
       by AGNPS	    43

 12.  Precipitation characteristics of modeled storms, Jewett Brook	     46

 13.  Mean observed values (11 storms) and values predicted by AGNPS with relative
       errors and t-test between means for Jewett Brook	    47

 14.  Root MSE and significance of regressions between observed and AGNPS predicted
       values for Jewett Brook	    48

 15.  Discharge observed from Jewett Brook and predicted by AGNPS	     49
                                         VI

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LIST OF TABLES (Continued)

Table

16. Sediment observed in runoff from Jewett Brook and predicted by AGNPS	     52
17. Total phosphorus observed in runoff from Jewett Brook and predicted by
      AGNPS	    54

18. Comparison of discharge observed from LaPlatte River Subwatershed 3 and pre-
      dicted by AGNPS using 40 cells and 1 cell	    57

19. Comparison of sediment observed in runoff from LaPlatte River Subwatershed 3
      and predicted by AGNPS using 40 cells and 1 cell.....	    58

20. Comparison of phosphorus observed in runoff from LaPlatte River Subwatershed  3
      and predicted by AGNPS using 40 cells and 1 cell.....	    59

21. Comparison of nitrogen observed in runoff from LaPlatte River Subwatershed 3
      and predicted by AGNPS using 40 cells and 1 cell	    60
                                       vu

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INTRODUCTION






       The purpose of this project was to perform a post-audit verification of the model AGNPS



(Agricultural Non-Point Source Pollution Model).  This model was developed by USDA-



Agricultural Research Service in Morris, Minnesota to simulate sediment and nutrient export



from agricultural watersheds (Young  et al., 1989).  The version of the model used for this



verification (Ver. 2.52,1988), was single event-based and thus did not the prediction of periods



of no-flow or snowmelt.  The model uses measured or estimated parameters as input and does



not require calibration or fitting.  AGNPS was developed for watershed-scale applications and



can be applied to areas  of up to 12, 000 ha  (Onstad, et al., 1986).   One of the unique



characteristics of AGNPS,  as compared to other nonpoint  source models, is that it uses



distributed watershed parameters and allows identification of up to 700 cells within a watershed.



However, rainfall information is lumped for a watershed. Model outputs include runoff volume



and peak rate, and the concentration and mass export of sediment, nitrogen (N), and phosphorus



(P) for the event.



       AGNPS has received considerable attention nationally as a tool  to detect and prioritize



nonpoint pollution problems  in agricultural watersheds, and to assess the relative effects of



alternative conservation practices (Bartholic et al., 1987; Frevert and Crowder, 1987; Lee, 1987;



Young et al., 1987).  However, comparisons of AGNPS predictions to observed data have been



limited.  The model authors regressed predicted  and observed peak flow for 20 watersheds in



the north central United States. The resulting R2 value was 0.81 (Young et. al., 1989).  They



also compared observed and simulated sediment  yield for two watersheds in Iowa (21 storms)



and one  in Nebraska (8  storms).  The Iowa results indicated that the model overpredicted

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 sediment yield by two percent with a R2 value of 0.95; the Nebraska comparison resulted in a



 R2 value of 0.76 (Bosch, et. al., 1983, Young, et. al., 1986). More recently, the model authors



 reported observed and predicted concentrations of total N and total P for 20 locations in seven




 Minnesota watersheds.  The observed data were based on small (1-yr, 24-hr) storms.  They



 concluded that AGNPS gave realistic predictions of nutrient concentrations but did not provide



 statistics on the goodness of fit between observed and predicted values (Young, et. al., 1989).



       AGNPS was applied in the Highland Silver Lake watershed in Illinois at three sites (Lee,



 1987, Lee and Comacho,  1987).  Predicted and observed runoff volume and total suspended



 solids exports, as a function of rainfall, were presented.  They concluded  that since model



 predictions  seemed  to be  an average of observed  data,  that  the  model simulations  were



 reasonably close to average field observations (Lee, 1987; Lee and Comacho, 1987). However,



 these comparisons were not made statistically.  They also compared average annual observed



 exports (over 2.8 years) of  sediment, N, and  P to simulated annual values.   Annualized



 simulations were obtained from modeling  seven storms  representing certain  precipitation



 intervals. Modeled results were then multiplied by the frequency of storms per each interval and



'then summed to  yield annual estimates (Lee,  1988, personnel communication).   Lee (1987)



 concluded that the model overpredicted total P load by five times, and total N load by 3.5 times.



 Sediment loads differed by less than five percent.



       D. German (1991, personal communication) compared observed and predicted values for



 seven storms in 1989 in Loomis Creek, South Dakota.  Loomis Creek monitoring is part of the



 Oakwood Lakes-Poinsett Rural  Clean Water Program (RCWP) project.   He concluded that



 AGNPS generally overpredicted discharge volume and peak, and the exports of sediment, N and

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 p.



       There have not been extensive tests of the model AGNPS, although usage of the model



 is expanding.  There has been a lack of verifications applying standard statistical tests as



 suggested by  Thomann (1982) and Reckhow et al.  (1990).   It  is of benefit to the U.S.



 Environmental Protection Agency (EPA) to assess whether AGNPS  is suitable for assessing the




 effectiveness of agricultural best management practices (BMPs).  Both the EPA and the States



 have multiple needs for such models, including: 1) comparing alternative pollution control plans,



 2) developing total maximum daily loads (TMDLs), 3) locating critical areas in watersheds, and



 4) estimating  the water quality benefits  to  be gained  from implementation of management



 measures in the coastal zone under Section 6217 of the Coastal  Zone Act Reauthorization



 Amendments of 1990.








 SUMMARY OF AGNPS



       AGNPS (Agricultural Nonpoint  Source) is an event-based,  measured  parameter,



 watershed-scale, distributed model predicting discharge and the concentration and load of N, P,



-and sediment in runoff (Young et. al., 1987). The model has been described fully in Young et



 al. (1987) and summarized in Bosch et. al., (1983), Onstad, et. al.,  (1986), and Young, et. al.,



 (1989).



 Flow



       AGNPS predicts both runoff volume and peak runoff rate.  Runoff volume from each cell



 is estimated using the Soil Conservation Service (SCS) curve number (CN) technique (USDA-



 SCS 1972):

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                                   o = (P  - 0.25)2                               (1)
                                         P + 0.85
where Q is the runoff volume, P is the precipitation, and S is a retention factor, all in uniform

units of length, such as inches or cm.  The retention factor (S) is determined from:



                                   5 = ™2 - 10                                (2)
                                         CN
where CN is the curve number for the cell.  The curve number is the percentage ratio between

stream discharge and  precipitation,  and varies with land use, hydrologic  soil group, and

antecedent moisture content (AMC).  Curve number are taken from standard tables provided in

the model documentation.

       Peak runoff rate for each cell  is determined from:



                     
where Q, is the peak flow rate (cubic feet per second), A is the drainage area (acres), Sc is the

channel slope (ft/ft), RO is the runoff volume .(in), and LW is the watershed length-width ratio

which is determined from L2/A where L is the watershed length (ft). Although the units do not

cancel in this equation, they do cancel as used in  the model (Young et al., 1986).  This

procedure for estimating peak runoff was developed by Smith and Williams (1980) for the

CREAMS model.

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Erosion arid Sediment




       Erosion is determined using the modified universal soil loss equation (USLE):






                               E = (EI)(K)(LS)(C)(PKSSF)
where E is the soil loss (tons/ac), El is the rainfall energy intensity, K is the soil credibility



factor, LS is the slope length and slope factor, C is the cover and management factor, P is the



practice factor, and SSF is the slope shape factor (Wischmeier and Smith, 1978).



       Sediment is routed from cell to cell using a mass balance approach,  and allowing for



deposition (Young et. al., 1989).








Nitrogen and Phosphorus




       Both soluble and particulate forms of N and P are predicted using procedures found in



the CREAMS model (Frere, et. al., 1982).  The concentration of soluble N or P is determined



from soil concentrations and extraction coefficients:
where Nut^ is the export (Ibs) of soluble N or P in runoff, C^ is the concentration (ppm) of



soluble N or P at the soil surface, Nut^ is an extraction coefficient for movement into runoff,



and Q is the runoff volume (in). The units cancel as used in the model (Young et al., 1986).



      Nutrients transported  in  the sediment are based on soil nutrient concentrations, an

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enrichment ratio, and sediment yield from a cell:
where Nut^ is the N or P transported (Ibs) by the sediment in runoff, Nutf is the N or P content




(ppm) of the soil, and EH is the enrichment ratio determined from:
                                   IT    fAn-o^T
                                   ER = 7.4QS  Tf
where Q. the sediment yield (Ibs) and Tf is a correction factor for soil texture.








Model Input



      Table 1 summarizes the input requirements for AGNPS  ( Young et al., 1987). These



input parameters, as used in this  study, are described in detail in the "Methods" section of this



report.

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Table 1.  AGNPS Input Parameters.
Column
  No.
Parameter
Source of
Input Data
Watershed
  l
  2
  3
  4
  5

Cell

  l
  2
  3
  4
  5

  6
  7
  8
  9
 10

 11
 12
 13
 14
 15

 16
 17
 18
 19
 20
 21
 22
watershed identification
cell area (acres)
total number of cells
precipitation (inches)
energy - intensity value
cell number
number of cell into which it drains
SCS curve number
average land slope (%)
slope shape factor (uniform, convex, concave)

average field slope length (feet)
average channel slope (%) Se
average channel side slope (96)
manning's roughness coefficient (n) for channel
soil erodibility factor (K)

cropping factor (C)
practice factor (?)
surface condition constant based on land use
aspect of drainage from the cell
soil texture

fertilization level (zero, low, medium, high)
incorporation factor (% fertilizer, top 0.5 in. soil)
point source indicator
gully source level (estimate of gully erosion)
chemical oxygen demand factor
impoundment factor (terrace system)
channel indicator
User
User
CIS
Gage
Calculated
CIS
USGS topographic map
Young et al. (1987)
USGS topographic map
USGS topographic map

VT SCS, 1989
USGS topographic map
Young et al. (1987)
Young et al. (1987)
GIS - soil survey

Young et al. (1987)
Young et al. (1987)
GIS - Young et al. (1987)
USGS topographic map
GIS - Young et al. (1987)

GIS - land use monitoring
GIS - Young et al. (1987)
none
none
not applicable
none
GIS

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OBJECTIVES




      The objectives of this study were to:




 1)    Perform a post-audit verification of the AGNPS model by comparing simulated runoff



      and the concentration and mass export of sediment, nitrogen, and phosphorus to observed



      values from two agricultural watersheds in Vermont to determine the accuracy of



      AGNPS.



 2)    Assess methods of extrapolating event-based simulations to long-term findings so that




      annualized information may be obtained from a series of event simulations.
                                        8

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 STUDY AREAS



       Two watersheds in northwestern Vermont were used for the study (Figure 1).  Both



 watersheds were used predominantly for dairy agriculture and have been the sites of extensive



 implementation of land treatment practices and comprehensive monitoring of water quality.



       One study area, Subwatershed 3,  was  located in the LaPlatte  River  watershed



 approximately 10  mi. south of Burlington,  Vermont.  Monitoring in this 400-ac  watershed



 occurred from 1979 to 1990 as part of the USD A Soil Conservation Service's small  watershed



 land treatment program (Public Law 566).  The watershed monitoring program and results of



 monitoring have been described in detail elsewhere (Cassell and Meals,  1981; Meals 1990).



 Soils in the watershed were largely lacustrine silts and clays. Land uses within the  watershed



 were 77% agricultural, 19% forested, and 4% residential (Figure 2). Climate in the  watershed



 was continental. The normal precipitation was 34 inches and the mean annual temperature was



 45°F  (NOAA, 1983).



       The second study area, the Jewett Brook watershed (Station 21), was located in the St.



 Albans Bay watershed, Lake  Champlain,  approximately  35 miles  north  of Burlington.



.Monitoring in this  1,384-ha watershed occurred from 1981 to 1991 as part of a Comprehensive



 Monitoring and Evaluation (CM & E) program associated with the St. Albans Bay Rural Clean



 Water Program (RCWP) project.  The monitoring program  and results have been previously



 described (Cassell  et. al., 1983; Clausen, 1985; VT RCWP Coord. Com., 1991). Watershed



 soils  are predominantly lacustrine silts and  clays.   Land uses in the watershed were 83%



 agricultural, 15% woodland, and 2% residential (Figure 3).  Considering only the agricultural



 land, 45% of the watershed was hayland, 23% was cornland, and 14% was pasture.  Climate

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                                                            '*"(  (/MCMPHICMAGOC ,
                                                                   VERMONT
                                                                   LOCATION
                                                                     MAP
                     MONITORED AGRICULTURAL WATERSHEDS
Figure 1. Vermont map showing location of the two study watersheds.
                                        10

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                                                                    LEGEND
                                                                  r7]  Agriculture)  land
                                                                  Li-J      ist unknown

                                                                  ra  Woodland


                                                                      DUoo-ogt icullufol
                                                                          loud
             0
                                                                    Miles
1
Figure 2. Land use map of Laplatte River Subwatershed 3, 1989.
                                          11

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                                        J    liiles
                                                                   LEGEND


                                                                   7J  Corn

                                                                   f|]  Hoylood

                                                                   J]  Posturelond

                                                                   3  Formsteod
                                                                 PT]  Ajricullurol lond
                                                                 ^—^      lit  unknown

                                                                 p;]  Woodland


                                                                 I1  Hoo-ootieuliufol
                                                                 L-'      loud
Figure 3. Land use map of the Jewett Brook Watershed, 1988.
                                            12

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 for the watershed was cool, humid, and continental. The mean annual temperature was 45° F



 and the average annual precipitation was 33 inches (Cassell et al.,  1983).  Thunderstorms



 occurred an average of 25 times per year.



 APPROACH



 Model Verification



       Model verification refers to the testing of a model with new  field data to determine



 whether the model adequately predicts observed data (Thomann, 1982; Reckhow et al., 1991)



 This process has also been called model testing, model validation, or model evaluation.  This



 is  the final step in a series of stages in model  development  as outlined by Thomann (1982)



 (Figure 4). The first step is problem identification. This step is needed to  focus the modeling



 effort. For example, the AGNPS model was originally developed to analyze and prioritize



 agricultural watersheds in Minnesota in order to correctly direct public funds toward solving



 pollution problems on a watershed basis. A method to systematically prioritize watersheds was



 previously lacking.  Concqpfiifll modeling refers to a description of the model components,



 inputs, and outputs as are often described in flow charts.  Next, the theoretical equations for the



t model are written, followed by the setting of appropriate quantities for default parameter values.



 Model calibration is fitting the model output to observed data. Preferably,  calibration is done



 with a data set different from that used for the original model construction.   Sometimes, when



 several years of observed data are available, a portion of the data set has been used for model



 construction, and the remaining data was used for model calibration.  Model calibration usually



 includes "tests of reason", including whether the model is predicting "reasonable" values with



 reasonable input data.
                                          13

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 Observed
 Data Set #1
  Observed
  Data Set #2
   Observed
   Data Set #3
                   Problem
                   Identification
                    Conceptual
                    Model
                    (flow chart)
                     Theoretical
                     Equations
Parameter
Values
 Model
 Calibration
  Model
  Verification
Simulated
Output
Figure 4. Steps in mathematical model development (after Thomann, 1982).
                                14

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 Verification Methods



        There are several measures used for model verification, most of which are statistical.



 Each of the measures used in this verification are described briefly below.  Readers that are



 unfamiliar with the statistical terms used in this report should consult a statistics textbook.








  1.     Bivariate plot.   A plot of simulated data as a function of observed data can provide a



 good qualitative evaluation of model performance (Jamieson and Clausen, 1988; Reckhow, et.



 al., 1990; Thomann,  1982).  An example of a  bivariate plot is  shown in the "Results and



 Discussion" section of this report (Figure 9).








  2.     Regression analysis.   Simple linear regression can be used to determine if there is  a



 significant relationship between predicted and observed values (Thomann, 1982). The coefficient



 of determination (r2) is used to describe the percent of variance accounted for by the regression.



 Significant  r2 values  indicate  good correlation  but not necessarily  accurate  predictions.



 Additional tests of the regression can be made that yield more information about the relationship



.between observed and predicted values.  The students 't' test can be used to test the hypotheses



 that the intercept is zero and the  regression slope is one.  Significant t-values for both tests



 would indicate that the model simulations were accurate.  Reckhow et. al. (1990) warn that



 outlying values and data with little range can  adversely influence the meaning derived from



 hypothesis testing.
                                           15

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  3.     Mean comparisons.  The differences between the predicted and observed means can be

 evaluated using the 't'-test (Reckhow et. al, 1990; Thomann, 1982).  One advantage of the t-test

 is that there is a wide variety of hypothesis testing that can be performed.  For example,  one

 could test whether the difference between predicted and observed values is greater than some

 acceptable error or threshold value.   If the  populations are not normally distributed,  the

 Wilcoxon test can be used (Reckhow et. al., 1990).



  4.     Relative error. The relative error (e) is the percent absolute value difference between

 observed and predicted mean values (Thomann, 1982):

                              _ , observed - predicted^  10Q                        (8)
                                       observed



 The maximum relative error can be 100% in cases where all values are positive. This statistic

 may be misleading for very low values of observed data, and when the observed data are  much

 larger than the predicted values.  James and Burges (1982) suggest a mean relative error of 5%

. with a standard deviation of 5-10% as criteria for model adequacy. However, the relative error

 chosen should be a function of model use.



  5.     Root  mean square error.  The square root of the sum of the squares of the deviation

 between observed and predicted  values divided by the number of observations (n) is the root

 mean square error (er) (Thomann, 1982).  This term has not often been used in model testing.

 However, it provides a measure of model error, and has been recommended (Thomann, 1982).
                                          16

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                                   T^observed - predicted?
                                              n
 6.    Differences  in  distribution.   The difference between  the  observed and predicted

cumulative frequency distributions can be assessed using the two-sample Kolmogorov-Smirnov

(KS) test (Reckhow et  al., 1990).  This test determines the maximum difference between all

quantiles of the two distributions. The calculated KS value is compared to values found in a table

to determine the significance of the difference.
                                         17

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 METHODS



 Observed Data



       For both watersheds, AGNPS predictions were compared to observed values of stormflow



 depth (in), peak flow during the storm (cfs), and the concentrations (ppm) and mass exports



 (Ibs/acre) of sediment, nitrogen (N) and phosphorus (P). Discharge was obtained from field-



 determined stage-discharge relationships.  Stage was  continuously recorded using an ISCO*



 bubble-type flow meter (Meals, 1990; Vermont RCWP Coordinating Committee, 1991).  Water



 samples in both watersheds were collected by refrigerated ISCO  automatic samplers at 8-hr



 intervals. Samples were analyzed for total suspended solids, total P, and total Kjeldanl N using




 standard techniques (EPA, 1983).  Analysis was conducted according to a QA/QC plan that



 included standards analysis, duplicates, chemical recovery, and performance testing. Duplicate



 results ranged from 5 to 12 %; chemical recovery ranged from 98 to 101%.  Precipitation was



 recorded at the Dunsmore station 0.6 miles from the Jewett Brook watershed and at the Hannah



 gage within 0.6 miles of Subwatershed 3.



       The duration of flow was determined  by hydrograph separation (Wisler and Brater,



. 1967). The beginning of stormflow was defined as the rise in stream discharge.  The end of



 stormflow was determined as occurring at the inflection  point on the falling limb of the



 hydrograph.  A hydrograph for the September 21, 1983 storm in the LaPlatte Subwatershed 3



 is shown in Figure 5.  The hydrographs for all storms are given in Appendix A.  The accuracy



 of discharge data was verified by comparison with runoff coefficients from USGS gaging stations



 located in the Champlain  valley.   Runoff coefficients have agreed within the 20 percent



 recommended by Winter  (1981) for comparison with regional gages.   Generally the  error
                                          18

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             Hydrograph of LaPlatte Event




                       Date: 9/21/83
                10
                            Time, hr
Figure 5. Hydrograph for LaPlatte Watershed 3 for September 21, 1983 storm.
                         19

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                           111111 Breakpoint	Minutes
                               Maximum 30 min. = 0.59 in.
      11 i i • wn i *•• tor r 4 • • 10 xn 2 4 i o tor 2 4 • • ion i 4 « • ior i 4 • i tpia > 4 i i ior 14 < i to ID 2 4 i • ior i < • • »iu >
       -i ...ii.W«DMMOA* i^ ml— mi" ^TMUHSOAV  "•— •   -•  FHIOA.V      *    -^ATJmQAY   i  *li-  — •UIXOAV—	i.— .A.   .  MOMOAV
Figure 6.  Recording precipitation chart for storm on September 21,  1983, Hannah gage.
                                              20

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 associated with discharge measurements are IS percent (Winter, 1981).



       The energy intensity (El) of the storm (decimal units) was calculated from recording rain



 gage records using the method described by Wischmeier and Smith (1978).  Using this procedure



 the rainfall intensity (in/hr) was calculated for each break point of the storm trace on the chart.



 An example precipitation chart is shown in Figure 6; the El calculation is given in Table 2. The



 corresponding  kinetic energy per inch of rain was determined for each intensity from a table



 provided by  Wischmeier and Smith (1978).  The total energy for the storm is the sum  of the



 energy for each breakpoint increment, adjusted for the proportion of total rainfall.



       The antecedent moisture condition (AMC) was determined for each selected storm using



 the five-day cumulative precipitation index (USDA-SCS, 1972).  A 5-day growing season total



 precipitation  less than 1.4 inches was assigned to AMC group I (lowest runoff potential), and



 precipitation  of 1.4 to 2.1 inches was assigned to AMC group n (average condition).



 Storm Selection



       Storms between late March to late November of each year with three or more consecutive



 8-hr  composite samples were considered.  Winter storms were ignored since the version of



'AGNPS used could not predict snowmelt runoff.  The 8-hr composites indicated that the storm



 was sampled intensively. Groups without precipitation events were dropped. Groups coinciding



 with snowfall and with temperatures below freezing before, during, and following the event were



 dropped since AGNPS does not simulate periods of no-flow in the winter.  Storms with missing



 precipitation  data were dropped. Hydrographs for the remaining storms were plotted (Appendix



 A). Hydrographs with complex, multi-peak were dropped because they indicated more than one



 storm was influencing runoff. Such complex storms could not be easily modeled by AGNPS.
                                          21

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Table 2.  Rainfall energy intensity (El) calculation for September 21,1983 storm, LaPlatte River
       Sub watershed 3.

       Chart
Time
16:30
22:00
22:30
02:00
02:30
03:00

'From
+ From

Depth Duration
(in) (min)
0
3.35
3.35
3.65
3.65
3.67

Wischmeier
chart
El =
EI =

330
30
210
30
30

and Smith (1978)
Depth
(in)

3.35
0
0.30
0
0.02


Total energy * maximum hourlv
100
3011 * 1.18 = 35.53


Intensity
(in/hr)

0.61
0
0.09
0
0.04


intensity*


Energy*
(in-1) Total

845 2831
0 0
570 171
0 0
453 9
3011



                      100
                                          22

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Watershed Data



       Land use and soils  information  were obtained from data stored in a  geographic



information system (GIS).  Using the GIS, the cell area was set by creating a 10-acre grid cell



overlay on the watershed boundaries (Figures 7 and 8). This cell size approximates the average



field size found in both watersheds.  There were 40 cells in the LaPlatte River Subwatershed 3



and 343 cells in the Jewett Brook watershed.  A program within the GIS was used to determine



land use, soil types, and fertilization levels on a cell-by-cell basis.



       Since each cell could contain several soil  types and/or land  uses, cell  averages of



attributes were lumped by area weighting. Values for the cropping factor (C), practice factor



(P), manning's roughness coefficient (n), and the surface condition constant, which are functions



of land use/cover, were determined from tables in Young et al. (1987) based on the predominant



(percent of area) land use occurring in the cell.  Land uses were determined using the GIS land



use data. The soil credibility factor (K), and soil texture, which are functions of soil type, were



determined from county  soil  surveys for each study area based on  an areal, weighted  average



value for the cell, as suggested by Young et al. (1987).  Soil types for each cell were determined



from the GIS data files (Table 1). The SCS curve number (CN), which varies with hydrologic



soil group, antecedent moisture condition, and land use, was determined from tables in Young



et al. (1987) as an areal, weighted-  average based on the different soil types and land uses in a



cell.



       The number of the cell into which another cell drained was  determined from the USGS



topographic map for the study areas by noting the direction of flow leaving the cell (e.g. Figure



7).  This also allowed determining the aspect of the direction of  the drainage from the cell.
                                           23

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                         SUBWATERSHED  3
                 LAPLATTE  RIVER WATERSHED,  VERMONT
Figure 7.  LaPlatte subwatershed 3 with 10-acre grid cells and cell drainage paths.
                                   24

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                        JEWETT BROOK SUBWATERSHED
                    ST. ALBANS BAY  WATERSHED,  VERMONT
Figure 8.  Jewett Brook watershed with 10-acre grid cells and cell drainage paths.
                                    25

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Average land slope and average channel slope also were determined from the USGS topographic



maps for each cell as rise over run. The channel side slope was based on recommendations by



Young et al.  (1987).  The slope shape factor of either uniform, convex,  or concave .was




determined for each cell from the USGS topographic maps.  Field slope lengths were determined



from a table of soil type and average slope length  (Vt SCS, 1989). The fertilizer availability



(incorporation factor) was based upon CIS data and recommendations of Young et al. (1987).



The presence of a channel within a cell (channel indicator) was assessed using GIS data.



       Input files were modified for each year since land use and therefore the curve number



(CN), C factor, surface condition constant, and roughness coefficient could change each year.




Text editors were used to build the input data files rather than the AGNPS preprocessor because



it was quicker. AGNPS includes a separate computer program (DBDFL) for forming input data



files (Young et al.,  1987).  Examples of input files for both watersheds are given in Appendix



B.  These files contain  cell-by-cell information on soils, curve numbers, and practices.








Model Adaptation




      Although AGNPS  does not require calibration,  the model was  developed  assuming



Minnesota conditions.   Several factors were compared to  conditions found in Vermont (Table



3).    Although the rainfall concentrations were  expected to be different, the impact  on



precipitation loadings, relative to other loadings, was not considered to be significant.  Since



these values were not substantially different, the default values were used.  One change made



to the AGNPS code was to print smaller values of the runoff volume and peak runoff rate. The



original code rounded runoff volume to 0.01 in. and peak runoff rate to 0.01 cfs. These values
                                         26

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were changed to 0.0001 for runoff volume and 0.001 for peak runoff.  This change was made



because runoff values simulated by AGNPS were often  <0.00 and we wanted to determine if



lower values were being calculated but truncated when printed out.



       Young et al. (1987) have performed a sensitivity analysis to determine  the relative



changes in model output associated with changes in model input and model parameters.  The



most  sensitive parameters affecting  sediment  and nutrient exports  were land  slope, soil



credibility, cropping factor, practice factor, and curve number.  All of these factors vary with



local site conditions, and reflect the sensitivity of the curve number technique and  the USLE.



Computer Resources



       According to Robert et al. (undated), the following equipment is required to run AGNPS:



       - IBM-PC or compatible



       - Monochrome or color graphics adapter and monitor



       - 512K memory



       - Floppy disk system or hard disk system



       - Dot Matrix printer



       -DOS 2.1 or higher








Most  AGNPS runs were made  on an  IBM* PS/2  Model 30, 286 personal computer.



Computation time for the 343-cell Jewett Brook watershed took approximately 30 sec. excluding



the time required to make input specifications. Additional  single cell runs were made  on a



Zenith* 386-SX personal  computer.  Average computational time for these  runs was a few



seconds.  The GIS used was ARC-INFO* which was maintained on a VAX* 11/750 computer.
                                        27

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Table 3. AGNPS default values and appropriate Vermont values for model adaption.
Parameter [AGNPS Name] (Units)
AGNPS
Value
Vermont
Value
Source of
Information
Soil Concentrations
      Soluble N [CN] (ppm)
      Soluble P [CP] (ppm)
      Sediment N [SOILN] (lb/lb)
      Sediment P [SOILP] (lb/lb)
N
           Application [NPPA]
      Low (lb/ac)
      Medium ab/ac)
      High (lb/ac)

P Fertilizer Application [PPPA]
      Low (lb/ac)
      Medium (lb/ac)
      High (lb/ac)

Rain Concentration
      N [RCN] (mg/1)
                                      5
                                      2
                                      0.001
                                      0.0005
                                      50
                                      100
                                      200
                                      20
                                      40
                                      80
                                      0.8
2-30
1-1.5
0.001-0.002
0.0005-0.001
 50
100
150
20
40
60-80
Jokela, 1989
1.43
Likens et al.,
1977
                                        28

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RESULTS AND DISCUSSION



LaPlatte Subwatershed 3



       The precipitation characteristics of the IS storms that were modeled in Subwatershed 3



are summarized in Table 4.  Rainfall amounts ranged from 0.2 to 3.67 inches.  These storms



represented the full range of observed precipitation events that produced runoff in the LaPlatte



watershed, and therefore are appropriate storms to model for a verification of AGNPS. Based



on Weather Bureau intensity-duration-frequency maps (Hershfield, 1961), one storm had a 50-yr



return period, and one was an 8-yr storm. The remaining storms modeled had a return period



of less than one year.  The precipitation amounts for all modeled storms were in the upper 50



percent observed in the watershed based on data collected at the Hannah gage in the LaPlatte



River watershed.



       Prior to full testing of the model, default value assumptions  and average state values



were checked against monitored results. Calculated El values using the Wischmeier and Smith




(1978) method were substantially lower than the statewide average value of 90 recommended for



use for the two study area counties in Vermont (USDA-SCS, 1987).  Also,  it is  recommended



jn the model documentation that the antecedent moisture condition (AMC)  value to use is II,



representing average conditions (Young et al., 1987). However, using the  5-day AMC index



(USDA-SCS, 1972), 13 out of the 15 storms had AMC values of I which indicates a dryer than



average condition.  Using calculated, rather than average values for El and AMC,  resulted in



lower predictions of discharges, concentrations, and mass export predictions (Table 5).  Due to



these differences, values of El and AMC were calculated for each model run to meet the study




objectives.
                                         29

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Table 4.  Precipitation characteristics of modeled storms, LaPlatte River Subwatershed 3.
Date
MM/DD/YY
3/31/87
8/27/86
4/ 6/85
5/23/84
6/5/85
4/17/84
4/10/83
4/17/82
8/11/83
11/11/83
8/ 8/83
9/29/86
61 6/83
8/3/86
9/21/83
Precipitation
(in.) El
0.20
0.33
0.45
0.48
0.74
0.78
0.90
0.92
0.99
1.00
1.01
1.03
1.09
2.45
3.67
0.15
0.80
0.73
1.76
1.36
1.92
1.54
4.37
0.61
1.35
11.71
5.82
9.40
45.33
35.53
Percent of Storms Return
Less than or equal Period
AMC To observed (yr)
I
I
I
I
I
n
i
i
i
n
i
i
i
i
i
50 <1
75 <1
84 <1
84 <1
90 <1
90 <1
90 <1
90 <1
95 <1
95 <1
95 <1
95 <1
95 <1
99 8
99 50
                                         30

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Table S.  Comparison of predicted discharge, P, and N using default and computed AMC and
El values for two storms for LaPlatte subwatershed 3.

                                                     Date of Storm
Variable
Input
AMC
El

Default
II
90
8/ 03/86
Computed Observed
I
45.3

Default
n
90
8/27/86
Computed
I
0.8
•
Observed

Output
Runoff Volume (in)            0.68           0.13   0.5           0.0001         0.0     0.23
Runoff Peak (cfs)           196            43     15.83          0.064          0      7.88
P Concentration (mg/1)         0.8            0.1     0.1           0.1            0.1     0.2
P Mass Export Ob/ac)          8.90           3.12   0.01          1.19           0.03    0.01
N Concentration (mg/1)         4.3            1.6     0.74          4.5            4.5     0.88
N Mass Export (lb/ac)         17.57           6.30   0.08          2.39           0.06    0.05
                                             31

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        Observed and predicted mean values (IS storms), the relative error, and results from the



 t-test of means for all modeled variables are summarized in Table 6. The hypothesis for the t-



 test was that the mean observed and predicted values were not different.  A low probability of



 being greater than the Y value (Prob  > t in Table 6) indicates that the means are significantly



 different at that probability.



        Tests of the goodness of fit of linear regressions between observed and predicted values



 are summarized in Table 7. These include the Root MSE, the F-statistic for the significance of



 the regression, and the coefficient of determination (R2) between observed and predicted values.




 The significance of the F-statistic is given by the Prob > F.  A probability of 0.05 would be



 significant at the 95 percent level of confidence. A significant R2 value at a probability  of 0.05



 would be 0.72.



        Discharge.  Discharge volume (in.) was underpredicted by AGNPS for all storms less



 than the 50 year event (Table 8). Mean discharge volumes were significantly different based



 on the t-test,  as indicated by a p value less than 0.01 (Table 6).  The relative error in the



 predicted mean was 87 percent.  There was no significant relationship between observed and



.predicted volumes based on regression (Table 7, Figure 9). For the largest storm monitored,



 AGNPS predicted discharge depth was of the same order of magnitude as that observed.



        Peak discharge also was underpredicted by AGNPS except  for storms greater than two



 inches (Table 8).  However, mean observed and predicted values were not different based on



 the t-test (Table  6),  and the relative error was small  (9%).   There were no  significant



 relationships between  predicted and  observed discharge based on regression analysis (Table 7,



 Figure 10). Given the large discrepancy between predicted and observed discharges, the t-test
                                           32

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Table 6. Mean observed values (15 storms) and values predicted by AGNPS with relative errors
and t-test between means for LaPlatte Subwatershed 3.

                            Means             Relative
Variable             Observed    Predicted     Error (%)        t-value         Prob >t
Discharge
Volume (in)
Peak (cfs)
Sediment
Concentration (mg/1)
Mass Export (lb/ac)
Phosphorus
Concentration (mg/1)
Mass Export (lb/ac)
Nitrogen
Concentration (mg/1)
Mass Export (lb/ac)

0.31
15.59

30.87
0.53

0.15
0.01

0.82
0.06

0.04
14.2

1,423,508
124.6

0.11
0.54

3.15
1.09

87
9

4,611,199
23,409

27
5,300

284
1,717

4.86"
0.13

-2.29*
-1.11

1.31
-1.64

-2.32*
. -1.65

0.003
0.896

0.043 .
0.290

0.212
0.125

0.040
0.128
** p < 0.01
* p < 0.05
                                         33

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Table 7.  Root MSE and significance of regressions between observed and AGNPS predicted
values for the LaPlatte Subwatershed 3.
Variable
Discharge
Volume (in)
Peak (cfs)
Sediment
Concentration (mg/1)
Mass Export (Ib/ac)
Phosphorus
Concentration (mg/1)
Mass Export (Ib/ac)
Nitrogen
Concentration (mg/1)
Mass Export (Ib/ac)
Root
MSE
0.196
13.670
31.087
0.540
0.066
0.008
0.273
0.050
F
0.335
0.175
0.360
2.472
0.904
0.311
0.407
1.567
Prob > F
0.57
0.68
0.56
0.15
0.36
0.59
0.54
0.24
R2
0.03
0.01
0.03
0.20
0.07
0.03
0.04
0.14
                                        34

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Table 8.  Discharge observed from LaPlatte River Subwatershed 3 and predicted by AGNPS.



                                                    Discharge
Date
MM/DD/YY
3/31/87
8/27/86
4/ 6/85
5/23/84
6/ 5/85
4/17/84
4/10/83
4/17/82
8/11/83
11/11/83
8/ 8/83
9/29/86
6/ 6/83
8/ 3/86
9/21/83
Precipitation
(in.)
0.20
0.33
0.45
0.48
0.74
0.78
0.90
0.92
0.99
1.00
1.01
1.03
1.09
2.45
3.67
Depth
Observed
0.11
0.23
0.28
0.15
0.05
0.41
0.43
0.54
0.06
0.47
0.01
0.45
0.55
•0.50
0.38
(in.)
Predicted
0.00
0.00
0.00
0.00
0.00
0.01
0.00
0.00
0.00
0.04
0.00
0.00
0.00
0.13
0.51
Observed
4.38
7.88
11.57
3.94
1.27
27.24
17.20
25.87
1.61
36.68
0.29
18.46
43.53
15.83
18.93
Peak (cfs) '
Predicted
0.00
0.00
0.00
0.00
0.00
4.00
0.00
0.00
0.00
14.00
0.00
0.00
0.00
43.00
152.00
                                        35

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                LaPlatte Sufowatershed  3
                         Discharge  volume
                                (In.)
                          O.1   O.2  O.3  O.4  O.6  O.6
                               Predicted (In.)

 Figure 9. Plot of discharge volume observed in LaPlatte River Subwatershed 3 and predicted
 byAGNPS.

                LaPlatte  Subwatershed 3
                          Peak Discharge
                               (cf s)
                      O  2O  4O  OO  8O 1OO 12O 14O 16O
                              Pr*dlot«d (of*)
Figure 10. Plot of peak discharge observed in LaPlatte River Subwatershed 3 and predicted bv
AGNPS.                                                         y
                               36

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 of means and the relative error of these means appear inappropriate measures for testing model



 performance in this study.



       Sediment.   Suspended solids  concentrations in runoff from  Subwatershed 3 were



 overpredicted by from two to six orders of magnitude (Table 9).  AGNPS predicted values that



 are  unrealistic for streamflow.   Mean concentrations were significantly different (Table 6).



 There was no significant relationship between observed  and predicted values (Table 7, Figure



 11).



       The mass export of sediment also was overpredicted by one or two orders of magnitude



 (Table 9).  Mean export values were not different based on the  t-test (Table 6).  Inspection of



 Figure 12 reveals that the points are clustered together.  There  was no  significant relationship



 between observed and predicted exports (Table 7, Figure 12).



       Phosphorus.  Predicted phosphorus concentrations were of the same order of magnitude



 as those observed (Table 10). However, the default concentration of 0.10 mg/1 predominated.




 There was no significant difference between observed and predicted mean concentrations, and



 their relative error was only 27 percent (Table 6). Also, there  was no  significant relationship



. between observed and predicted P concentration values (Table 7, Figure 13).   However, it



 appears that a low  default value of 0.10 mg/1 was assumed by AGNPS for most cases.



       The predicted  mass export of phosphorus was  of the  same order  of magnitude as



 observed for storms less than one inch; larger storms were overpredicted (Table 10).  Mean



 observed and predicted exports were not different, but their relative error was 5,300 (Table 6).



 This finding again questions the usefulness of the t-test  in comparing model predictions to



 observed values.  There was no significant relationship between observed and predicted values
                                           37

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Table 9. Sediment observed in runoff from LaPlatte River Subwatershed 3 and predicted by
AGNPS.

                                       Total Suspended Solids
Date
MM/DD/YY
3/31/87
8/27/86
4/ 6/85
5/23/84
6/5/85
4/17/84
4/10/83
4/17/82
8/11/83
11/11/83
8/ 8/83
9/29/86
6/ 6/83
8/ 3/86
9/21/83
Precipitation
(in.)
0.20
0.33
0.45
0.48
0.74
0.78
0.90
0.92
0.99
1.00
1.01
1.03
1.09
2.45
3.67
Concentration (mg/1)
Observed Predicted
9.2
4.1
89.2
24.7
—
31.3
19.9
69.0
2.5
17.2
6.6
—
19.9
—
76.8
32,779.
473,498.
390,446.
988,888.
771,295.
31,899.
825,667.
2,403,695.
336,046.
9,579.
6,375,266.
3,410,522.
5,123,946.
136,222.
42,877.
Export (tons)
Observed Predicted
0.05
0.04
1.15
0.16
—
0.59
0.39
1.71
0.007
0.38
0.003
—
0.51
—
1.34
0.1
2.1
1.7
4.4
3.4
14.1
~ 3.7
10.7
1.5
15.5
28.3
14.9
22.7
770.3
975.7
— indicates missing data
                                         38

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                    LaPlatte Subwatershed 3
                    Sediment Concentration
                            (mg/l *  10)
                               10  100  1400 10400 100400 1400400
                            Predicted (mg/l » 1 O)

Figure 11. Plot of sediment concentration observed in runoff from LaPlatte River Subwatershed
3 and predicted by AGNPS.

                LaPlatte Subwatershed 3
                          Sediment Export
                               (Tons)
                     1OOO
                      100
                   •    10
                      0.1
                     O.O1
                     O.OO1
                       O.OO1  O.O1  O.1   1   1O  1OO 1OOO

                               Pr*dlot*d (Ton*)
Figure 12. Plot of sediment export observed in runoff from Laplatte River Subwatershed 3 and
predicted by AGNPS.
                                 39

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Table  10.  Total phosphorus observed in runoff from LaPlatte River Subwatershed  3  and
predicted by AGNPS.

                                                      Total Phosphorus
Date
MM/DD/YY
3/31/87
8/27/86
4/ 6/85
5/23/84
6/ 5/85
4/17/84
4/10/83
4/17/82
8/11/83
11/11/83
8/ 8/83
9/29/86
6/ 6/83
8/ 3/86
9/21/83
Precipitation
(in.)
0.20
0.33
0.45
0.48
0.74
0.78
0.90
0.92
0.99
1.00
1.01
1.03
1.09
2.45
3.67
Concentration (mg/1)
Observed Predicted
0.08
0.20
0.18
0.17
0.09
0.19
0.14
0.13
0.05
0.14
•••
0.29
0.08
0.10
0.22
0.00
0.10
0.10
0.10
0.10
0.40
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.70
0.10
Export
Observed
0.00
0.01
0.01
0.01
0.00
0.02
0.01
0.02
0.00
0.02
^__
0.03
0.01
0.01
0.02
(Ib/ac)
Predicted
0.00
0.03
0.02
0.01
0.04
0.13
0.04
0.10
0.02
0.14
0.22
0.13
0.19
3.12
3.78
— indicates missing data
                                         40

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                 LaPlatte Subwatershed  3
                    Phosphorus Concentration
                               (mg/l)
                         0.2
                               0.4   0.6
                                          o.a
                             Predicted (mg/l)
Figure 13. Plot of phosphorus concentrations observed  in runoff from LaPlatte River
Subwatershed 3 and predicted by AGNPS.


                LaPlatte Subwatershed 3
                       Phosphorus Export
                               (Ib/ac)
                      10
                   i
                      O.1
                     0.01
                    0.001
                      0.001   0.01
                                    0.1
                                                 10
                               Pr«dlot*d (Ib/aol
Figure 14. Plot of phosphorus export observed in runoff from LaPlatte River Subwatershed 3
and predicted by AGNPS.
                                41

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based on analysis of variance of regression (Table 7, Figure 14).



       Nitrogen.  Predicted nitrogen concentrations were generally two to three times observed



values (Table 11).  Mean observed and predicted nitrogen concentrations  were significantly



different based on a t-test (Table 6). There was no significant relationship between observed and



predicted nitrogen concentrations (Table 7, Figure 15).  If the higher rainfall N concentrations




expected in Vermont had been modified in AGNPS,  the difference between  observed and



predicted values would have been  greater than given in Table 11.



       The mass export of nitrogen generally was overpredicted. The amount of overprediction



varied by three to eighty times (Table 11). There was no significant difference between mean



export values for nitrogen (Table 6), but the relative error was 1,717. There was no significant



relationship between observed and predicted values (Table 7, Figure 16).
                                          42

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Table 11. Nitrogen observed in runoff from LaPlatte River Subwatershed 3 and predicted by
AGNPS.

                                                         Nitrogen
Date
MM/DD/YY
3/31/87
8/27/86
41 6/85
5/23/84
6/ 5/85
4/17/84
4/10/83
4/17/82
8/11/83
11/11/83
8/ 8/83
9/29/86
61 6/83
8/ 3/86
9/21/83
Precipitation
(in.)
0.20
0.33
0.45
0.48
0.74
0.78
0.90
0.92
0.99
1.00
1.01
1.03
1.09
2.45
3.67
Concentration (mg/1)
Observed Predicted
0.68
0.88
—
0.65
0.70
0.63
—
1.43
0.81
—
0.64
0.60
0.77
0.74
1.28
15.10
4.50
2.80
2.80
2.30
3.50
1.90
2.10
1.80
1.80
1.80
2.00
1.80
1.60
1.50
Export (Ib/ac)
Observed Predicted
0.02
0.05
—
0.02
0.01
0.06
~
0.17
0.01
—
<0.01
0.06
0.10
0.08
0.11
0.01
0.06
0.05
0.10
0.08
0.26
0.09
0.20
0.04
0.29
0.44
0.27
0.37
6.30
7.73
  indicates missing data
                                         43

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                LaPlatte Subwatershed 3
                     Nitrogen Concentration
                              (mg/l)
                   s
14

12

1O

 8

 e

 4

 2
                     O   2  4   a   8  1O  12  14
                             Pr*dlot«d (mg/l)

Figure 15. Plot of nitrogen concentrations observed in runoff from LaPlatte River subwatershed
3 and predicted by AGNPS.

               LaPlatte  Subwatershed  3
                         Nitrogen Export
                              (Ib/ac)
                     10
                     0.1
                    O.O1
                   0.001
                     O.OO1
                            O.O1
                                   O.I
                                                10
                             Predicted (Ib/ac)
Figure 16. Plot of nitrogen export observed in runoff from LaPlatte River subwatershed 3 and
predicted by AGNPS.
                                44

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Jewett Brook








       Eleven storms were modeled in the Jewett Brook watershed (Table 12).  These storms



ranged in amount from 0.43 to 2.47 inches and occurred during dryer than average conditions



(AMC = I). Based on the Weather Bureau precipitation intensity-duration-frequency maps, one



storm had an 8-yr return period, and two were 2-year storms. The remaining storms modeled



had return periods of less than one year.  The storms modeled represented the largest storms



monitored during the study; 86 percent of the storms that occurred were smaller than those used



for the testing of AGNPS.   Comparisons could not be made with nitrogen concentrations or



exports due to an insufficient number of samples.



       Discharge.  As was  observed for the LaPlatte Subwatershed 3, discharge volume (in.)



was underpredicted for all but the largest storms (Table 15).  The mean discharge volumes were



significantly different based on the t-test (Table 13), and the relative error in the means was



96%. There was no significant regression relationship between observed and predicted values,



and the regression explained only 18% of the variation in values (Table 14, Figure 17).



       Peak discharge also was underpredicted  except for  the three storms  greater than 1.3



inches in amount (Table 15). The mean peak discharge predicted by AGNPS was significantly



lower than observed  (Table 13).   There was no significant regression between  observed and



predicted values (Table 14). For six of the 11 storms modeled, a peak discharge of 0.136 cfs



was predicted (Table 15, Figure 18).



       Sediment. The concentration of suspended solids was overpredicted by one to two orders



of magnitude (Table 16). The mean concentration predicted by AGNPS was significantly greater
                                          45

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Table 12. Precipitation characteristics of modeled storms, Jewett Brook.
Date Precipitation
MM/DD/YY (in.)
4/ 6/85
4/16/85
3/10/83
10/ 5/83
4/17/84
5/29/84
4/18/85
11/26/86
10/28/87
5/23/84
9/21/83
0.43
0.49
0.55
0.69
0.77
0.94
0.94
1.03
1.32
1.72
2.47
El
1.61
0.96
1.18
2.56
1.73
0.95
4.21
1.81
1.86
17.17
9.41
Percent of Storms Return
Less than or equal Period
AMC To observed (yr)
I
I
I
I
I
I
I
I
I
I
I
86
88
92
95
96
99
99
99
99
99
99
<1
<1
<1
<1
<1
<1
<1
<1
2
2
8
                                          46

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Table 13. Mean observed values (11 storms) and values predicted by AGNPS with relative
errors and t-test between mean for Jewett Brook.+

                            Means            Relative
Variable            Observed    Predicted     Error (%)         t-value       Prob >t
Discharge
Volume (in)
Peak (cfs)
Sediment
Concentration (mg/1)
Mass Export (Ib/ac)
Phosphorus
Concentration (mg/1)
Mass Export (Ib/ac)
+ insufficient data for
** p < 0.01
* p < 0.05
0.47
114.66
110.1
19.31
1.65
0.07
0.019
17.299
7,159
3.8
0.5
0.01
96
85
-6,402
80
70
86
4.42"
2.61*
-4.06*
2.42*
1.92
4.39"
0.001
0.026
0.004
0.042
0.087
0.002
nitrogen comparisons.





                                        47

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Table 14.  Root MSE and significance of regressions between observed and AGNPS predicted
values for Jewett Brook.

                         Root
Variable                 MSE        F          Prob > F     R2
Discharge
Volume (in)             0.229        2.005       0.19         0.18
Peak(cfs)              89.645        2.357       0.16         0.21

Sediment
Concentration (mg/1)     56.515        3.716       0.09         0.35
Mass Export (lb/ac)      ig.227        0.007       0.94       <0.01

Phosphorus
Concentration (mg/1)      1.829        0.016       0.90       <0.01
Mass Export flb/ac)       0.047        1.477       0.26         0.16
                                        48

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Table IS.  Discharge observed from Jewett Brook and predicted by AGNPS.



                                             Discharge
Date
MM/DD/YY
4/ 6/85
4/16/84
3/10/83
10/ 5/83
4/17/84
5/29/84
4/18/85
11/26/86
10/28/87
5/23/84
9/21/83
Precipitation
(in.)
0.43
0.49
0.55
0.69
0.77
0.94
0.94
1.03
1.32
1.74
2.47
Volume
Observed
0.67
0.69
0.61
<0.00
0.71
0.39
0.56
0.77
<0.00
0.75
0.03
(in.)
Predicted
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0002
0.0044
0.0313
0.1722
Peak
Observed
229.59
180.01
127.56
0.72
237.45
86.04
197.16
177.52
1.38
17.17
6.71
(cfs)
Predicted
0.136
0.136
0.136
0.136
0.136
0.139
0.143
0.290
4.809
30.736
153.490
                                        49

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                          Jewett Brook
                         Discharge Volume
                                 (in.)
                          O.2   O.4   0.6    O.8

                              Predicted (In.)
 Figure 17. Plot of discharge volume observed in Jewett Brook and predicted by AGNPS.


                         Jewett  Brook
                          Peak Discharge
                                (cfs)
                    260
                    200A-
                    ioo
                     60
                            6O   1OO   16O   20O   26O

                               Predicted (cfs)
Figure 18.  Plot of peak discharge observed in Jewett Brook and predicted by AGNPS.
                                 50

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than the mean concentration of suspended solids observed (Table 13). There was no significant



relationship (p = 0.05) between observed and predicted sediment values (Table 14, Figure 19).



       The mass export of sediment was generally underpredicted by AGNPS, except for the



largest storm (Table 16).  This result is opposite of the findings for LaPlatte Sub watershed 3



where the export of sediment was overpredicted by AGNPS (Table 9). It is likely that modeling



the larger Jewett Brook watershed results in greater settling of sediment than for the smaller



Subwatershed 3.  The mean predicted export was significantly lower than the mean observed



export of sediment (Table  13).  There was no significant relationship between observed and



predicted sediment exports  (Table 14, Figure 20).



       Phosphorus.  As was observed for simulations in  LaPlatte Subwatershed 3, predicted



phosphorus concentrations were of the same order of magnitude as those observed (Table 17).



There was no  significant difference  between  mean  predicted  and observed  phosphorus



concentration values based on the t-test (Table 13). However, the differences were substantial



(Figure 19).   There was not a  significant relationship between  observed and  predicted



phosphorus concentration values (Table 14, Figure 21).



       The mass export of phosphorus was underpredicted by AGNPS except for the largest



storm modeled (Table 17). This finding is different than observed in Subwatershed 3 where



mass export was generally overpredicted (Table 10).  Again, the respective sizes of  the two



watersheds  may explain  these differences.   The mean predicted export of phosphorus was



significantly lower than that observed (Table 13). There was no significant relationship between



observed and predicted values of the mass export of phosphorus based on regression (Table 14,




Figure 22).
                                          51

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Table 16.  Sediment observed in runoff from Jewett Brook and predicted by AGNPS.



                                                    Sediment
Date Precipitation
MM/DD/YY (in.)
4/ 6/85
4/16/84
3/10/83
10/ 5/83
4/17/84
5/29/84
4/18/85
11/26/86
10/28/87
5/23/84
9/21/83
0.43
• 0.49
0.55
0.69
0.77
0.94
0.94
1.03
1.32
1.74
2.47
Concentration (mg/1)
Observed Predicted
92.7
70.9
74.9
98.9
116.2
34.7
247.5
—
181.4
73.5
--
9,302.
5,302.
5,716.
8,053.
6,820.
5,955.
19,483.
6,448.
1,355.
2,449.
313.
Export (tons)
Observed Predicted
24.22
19.03
17.63
0.01
31.96
5.28
54.03
—
0.29
21.37
---
0.4
0.2
0.2
0.3
0.3
0.2
0.8
0.5
2.3
29.2
20.5
— indicates missing data
                                        52

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                     Jewett  Brook
                 Sediment Concentration
                            (mg/l)
                 100OO
                  1OOO
                  100
                   10
                    1O      100     1000    10000

                            Predicted (mg/l)
Figure 19. Plot of sediment concentrations observed in Jewett Brook and predicted by AGNPS.

                      Jewett Brook
                       Sediment Export
                             (Ib/ac)
                        10   20   so   40   BO   eo

                            Predicted (tons)
Figure 20.  Plot of sediment export by Jewett Brook and predicted by AGNPS.
                                53

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Table 17.  Total phosphorus observed in Jewett Brook and predicted by AGNPS.



                                               Total Phosphorus
Date
MM/DD/YY
41 6/85
4/16/84
3/10/83
10/ 5/83
4/17/84
5/29/84
4/18/85
11/26/86
10/28/87
9/21/83
Precipitation
(in.)
0.43
0.49
0.55
0.69
0.77
0.94
0.94
1.32
1.74
2.47
Concentration (mg/1)
Observed Predicted
0.60
0.45
0.52
2.95
0.63
0.74
0.65
5.51
1.03
3.43
1.4
0.2
0.8
1.5
0.1
0.2
0.7
0.3
0.1
0.1
Export
Observed
0.09
0.07
0.07
<0.01
0.10
0.07
0.08
0.01
0.17
0.02
(Ib/ac)
Predicted
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.04
0.03
                                       54

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                           Jewett Brook
                    Phosphorus  Concentration
                               (mg/l)
                    r
                      O1    23466
                              Pr*diot*d (mo/U

Figure 21.  Plot of phosphorus concentrations observed in Jewett Brook and predicted by
AGNPS.
                        Jewett Brook
                       Phosphorus Export
                              (Ib/ac)
                    O.2
                   0.16 -
                           a OB     ai     O.16
                             Predicted (Ib/ac)
0.2
Figure 22.  Plot of phosphorus export by Jewett Brook and predicted by AGNPS.
                                55

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       Nitrogen.   There was an insufficient number of nitrogen samples analyzed for the



 modeled storms to perform an adequate evaluation of the ability of AGNPS to predict nitrogen




 concentrations or mass export in Jewett Brook.



       Overall, there was a poor relationship between observed and predicted values for this



 verification in Vermont. The difference between observed and predicted values was greater than




 previously reported Bosch et  al., 1983; Young et al, 1986, 1989). However, this is the first



 verification of AGNPS utilizing a full range of statistical testing as recommended by Thomann




 (1982). The application of the model to a completely different climatic region than where the



 model was developed may explain the differences obtained in the accuracy of the model.  If



 discharge is not accurately predicted, mass export predictions should be questioned since mass



 is a function of discharge.








 Single cell








       For the 15 events observed  in the LaPlatte Subwatershed 3, AGNPS simulations were



conducted a second time with lumped parameters.   Thus, the data from the 40 cells were



combined into one cell.  These additional simulations were conducted in order to determine if



the use of distributed parameters gave better results than  lumped parameters.  The results of



these  simulations are presented in Tables 18-21 together with the results from the previous



simulations. In general, predictions with one-cell parameter values were worse than those using



the 40 cells. As compared to the original 40 cell simulations, the one-cell runs usually resulted



in higher values CTables 18 - 21).
                                         56

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Table 18. Comparison of discharge observed from LaPlatte River Subwatershed 3 and predicted
by AGNPS using 40 cells versus 1 cell.
                Depth (in.)
Observed
0.11
0.23
0.28
0.15
0.05
0.41
0.43
0.54
0:06
0.47
0.01
0.45
0.55
0.50
0.38
Predicted
40 -Cell
0.00
0.00
0.00
0.00
0.00
0.01
0.00
0.00
0.00
0.04
0.00
0.00
0.00
0.13
0.51
1-Cell
0.0001
0.0001
0.0001
0.0001
0.0001
0.0051
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.1529
0.4932
Observed
4.38
7.88
11.57
3.94
1.27
27.24
17.20
25.87
1.61
36.68
0.29
18.46
43.53
15.83
18.93
Predicted
40 - Cell
0.00
0.00
0.00
0.00
0.00
4.00
0.00
0.00
0.00
14.00
0.00
0.00
0.00
43.00
152.00
1 - Cell
0.098
0.098
0.098
0.098
0.098
3.522
0.098
0.098
0.098
0.098
0.098
0.098
0.098
77.424
224.774
Peak (cfs)
                                         57

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Table 19. Comparison of sediment observed in runoff from LaPlatte River Subwatershed 3 and
predicted by AGNPS using 40 cells versus 1 cell.
Concentration (mg/1)
Observed
9.2
4.1
89.2
24.7
—
31.3
19.9
69.0
2.5
17.2
6.6
—
19.9
—
76.8
Predicted
40 - Cell
32,779.
473,498.
390,446.
988,888.
771,295.
31,899.
825,667.
2,403,695.
336,046.
9,579.
6,375,266.
3,410,522.
5,123,946.
136,222.
42,877.
1-Cell
12,751.
1,667,857.
1,459,488.
3,751,536.
2,918,064.
193,791.
3,126,432.
9,169,102.
1,125,121.
80,243,010.
24,379,960.
605,180.
19,587,500.
16,328.
92,167.
Export (tons)
Observed
0.05
0.04
1.15
0.16
—
0.59
0.39
1.71
0.007
0.38
0.003
—
0.51
—
1.34
Predicted
40 - Cell
0.1
2.1
1.7
4.4
3.4
14.1
3.7
10.7
1.5
15.5
28.3
14.9
22.7
770.3
975.7
1-Cell
0.1
7.6
6.6
17.0
13.2
45.0
14.2
41.5
5.7
363.5
110.4
2.7
88.7
113.1
2,059.4
                                        58

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Table 20. Comparison of total phosphorus observed in runoff from LaPlatte River Subwatershed
3 and predicted by AGNPS using 40 cells versus 1 cell.
concentration (Mg/i)
Observed
0.08
0.20
0.18
0.17
0.09
0.19
0.14
0.13
0.05
0.14
___
0.29
0.08
0.10
0.22
Predicted
40 -Cell
0.00
0.10
0.10
0.10
0.10
0.40
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.70
0.10
1-Cell
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
tixpon (LDiac)
Observed
0.00
0.01
0.01
0.01
0.00
0.02
0.01
0.02
0.00
0.02
«.-
0.03
0.01
0.01
0.02
Predicted
40 - Cell
0.00
0.03
0.02
0.01
0.04
0.13
0.04
0.10
0.02
0.14
0.22
0.13
0.19
3.12
3.78
1 -Cell
0.00
0.08
0.07
0.15
0.12
0.32
0.13
0.30
0.06
1.69
0.65
0.03
0.55
0.66
6.76
   indicates missing data
                                         59

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Table 21. Comparison of nitrogen observed in runoff from LaPlatte River Sub watershed 3 and
predicted by AGNPS using 40 cells versus 1 cell.
concentration 
-------
Event extrapolations


       The second objective of the project was to assess methods of extrapolating event-based


simulations to annualized data. The lack of relationships between observed and predicted values


makes any test of a method of extrapolation impossible. However, the following was the method


that would have been used for the test.


       1.  Develop a frequency distribution of precipitation events from local data.
  •

       2. Perform simulations for the precipitation amounts that coincide with midpoints of


       intervals on the cumulative frequency distribution, including the 5,  25, 50, 75, 90, 95,


       and 99 percentiles.


       3.  Multiply the simulated mass export results for each frequency times the number of


       events occurring for each interval and  sum the results for a year.


       4.  Add a base flow component for periods with no storms. However, the version of


       AGNPS being used in this verification does not predict base flow values.


This overall method assumes that there is a relationship between precipitation and mass export,


which may or not be true,  depending on local conditions.
                                         61

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CONCLUSIONS




       AGNPS underpredicted discharge volume and peak flow except for the larger,  rare


storms; that is, those storm with greater than an 8-year recurrence interval or 1-2 inches of


precipitation.   Sediment concentrations were overpredicted by  from one  to  six orders of


magnitude. Sediment export was overpredicted in one watershed and underpredicted in the other
                                                                     »

watershed.  Predicted phosphorus  concentrations were of the same order of magnitude as


observed. Phosphorus exports were underpredicted in one watershed and of the same order of


magnitude in another watershed. Nitrogen concentrations and mass exports were overpredicted


in the one watershed where sufficient observed nitrogen data was available.


       Lumping the parameters into one cell worsened  the predictions by  AGNPS  in the one


watershed where the comparison was made with 40 cells for 15 storms.


       Based on the results from testing in one watershed, it is recommended that El and AMC


be calculated rather than use "average" values as found in the AGNPS manual.


       Some statistics that are often recommended for model verification were not useful in this


test of AGNPS, perhaps due to the poor relationship between observed and predicted values.


Both the  students  't'-test of  means and the root MSE were not meaningful and are  not


recommended for use in  applications similar to the one described herein.
                                         62

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RECOMMENDED VERIFICATION METHODS



       Based upon the experience obtained in this and other (Jamieson and Clausen, 1988)



verifications of water quality models the following steps are recommended as a method  for



testing nonpoint source models:








1.  Locations.  Assuming that the model is intended to have application across the U.S.,  the



model should be tested in several locations other than where the model was developed.   If



models are intended  to have broad geographic application, it is especially important to test



models in different major climate zones such as those represented by areas where snowmelt or



no snowmelt would occur.  In some cases,  testing in each EPA Region might be appropriate,



although the method of testing should be centrally controlled to maintain uniformity in methods



of testing.



2. Method.  Perform the test by comparing  simulated to observed data.  A sensitivity analysis,



which is determining  the effect of varying a parameter value on the output, is not a verification



of a model but rather indicates important parameters.  The test should  display observed and



simulated data in a form where they are directly comparable, such as in a table or graph.



3.  Fitting.  The method of conducting the verification should be consistent with the type of



model.  For example, a measured parameter model should not be fitted to local data before a



test since such a model is intended to be used without fitting. Often, a model will be fitted with



one year of data and tested with another year of data. This procedure is appropriate to calibrate



a model during development but should not replace a verification using independent data.



4. Statistics. Several statistical tests are recommended for verifications of NPS water quality
                                         63

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 models.  Enough testing will be needed to achieve statistical significance.  Generally, at least



 IS pairs of observed and simulated data points are needed for a simple regression.



 The following are recommended:



        a.  Linear  regression of predicted and observed  values.   Analysis of variance  of



        regression should be used to test the significance of the regression equation.



        b. The coefficient of determination (r2) should be determined to describe the percent of



        variance explained by the regression.



        c. Students Y to test the hypothesis that the intercept of the regression is zero.



        d. Students t to test the hypothesis that the slope of the regression is one.  A slope of



        one is a perfect relationship  between observed  and predicted values.



 5. Principal Investigator.  The model testing should be conducted by individuals, other than the



 model authors, who have the observed data in  their possession.  This independent test prevents



 bias in the interpretation of the findings.  However, it is equally important that a model author



 or contact person assist in the verification effort. Model authors can notice inappropriate input



 data quickly, and may understand unusual predictions.



, 6. Review. Verification results should receive peer review.
                                           64

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REFERENCES

Bartholic, J.F., K.M. Kittleson, and B. Bill. 1987. Operational, spatial, and environmental water
       planning and analysis. Michigan Institute of Water Research.  E.  Lansing, Technical
       Report No. G1232-05.

Bosch, D.D., C.A. Onstad, and R.A. Young. 1983. A procedure for prioritizing water quality
       problem areas. Paper 83-2156, ASAE Summer Meeting, June 26-29, Bozeman, Montana.

Cassell, E.A. and D.W. Meals. 1981. LaPlatte River watershed water quality monitoring and
       analysis program: description of watershed and water quality monitoring program. Water
       Resources Research Center, University of Vermont. Burlington. Report No. 1.

Cassell, E.A., J.C. Clausen, R.C. Furbush, M. Long, and D.W. Meals. 1983. St. Albans bay
       watershed  comprehensive water  quality monitoring and  evaluation:  background
       information.  Vermont Water Resources  Research Center,  University of Vermont,
       Burlington. Report No. 1.

Clausen, J.C. 1985. The St. Albans Bay watershed  rcwp:  a case study of monitoring and
       assessment. In Perspectives on nonppint source pollution. USEPA 440/5-85-001.

Frere,  M.H., J.D. Ross, and L.J. Lane. 1980. The nutrient submodel. In CREAMS, a field
       scale model for chemicals, runoff, and erosion from agricultural management  systems.
       Cons. Res. Rpt. No. 26. Agric. Res.  Serv. USDA. Washington, D.C. P. 65-85.

Frevert, K., and B.M. Crowder. 1987. Analysis of agricultural nbnpoint  pollution control
       options in the St.  Albans Bay watershed. Natural Resource Economics Division,
       Economic Research Service, USDA. Staff Report No. AGES870423. Washington, D.C.

German, D. 1991. Personal Communication. Research Associate. South Dakota Water Resources
       Institute. Brookings, S.D.

Hershfield, D.M.  1961. Rainfall frequency atlas  of the United States.  U.S.  Weather Bureau.
       Technical Paper 40.

James, L.D. and S.J. Burges.  1982. Selection, calibration, and testing of hydrologic models. In
       C.T. Haan, M.P.  Johnson, D.L.  Brakensick (eds.). Hydrologic  modeling of small
       watersheds. ASAE, St. Joseph, MI.

Jamieson, C.A. and J.C. Clausen. 1988. Tests of the CREAMS model on agricultural fields in
       Vermont.  Water Res. Bull. 24(6): 1219-1226.

Jokela,  W.  1989. Personal Communication. Assistant Professor.  University of Vermont,
       Burlington.


                                        65

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Lee, M.T. 1987. Verification and application of a nonpoint source pollution model. Proc. ASAE
       National Engineering Hydrology Symp. New York, NY.

Lee, M.T. and R. Camacho. 1987. Geographic data base and watershed modeling for evaluation
       of the Rural Clean Water Program in the Highland Silver Lake watershed. Illinois Dept.
       of Energy and Natural Resources. Water Survey Division. SWS Contract Report'421.
       Champaign, IL.

Likens, G.E., F.H. Bormann, R.S. Pierce, J.S. Eaton, N.M. Johnson. 1977. Bio-geo-chemistry
       of a forested watershed. Springer-Verlag. New York.

Meals, D.W. Jr. 1990. LaPlatte River watershed water quality monitoring and analysis program.
       Comprehensive final report 1979-1989. Vermont Water Resources  Research  Center.
       Burlington, VT.

National Oceanic and Atmospheric Administration. 1983. Local climatological data, Burlington,
       Vermont. Nat. Climatic Data Center, Asheville, N.C

Onstad, C.A., R.A. Young, D.D. Bosch, and W.P. Anderson.  1986. Prioritizing surface water
       quality problems. USDA-ARS, Morris, MN. Unpublished report.

Reckhow, K.H., J.T. Clements, and R.C.  Dodd.  1990. Statistical evaluation of mechanistic
       water quality models. J. Env. Engr.  116(2):250-268.

Robert, P.C.,  J.L.  Anderson,  C.A.  Bunn,  R.A. Young,  and W.P. Anderson, undated.
       Agricultural nonpoint source pollution program user manual (AGNPS-PC). AG-CS-3016.
       Minnesota Pollution Control Agency, USDA-Agricultural Research Service, University
       of Minnesota.

Smith, R.E.  and J.R. Williams.  1980. Simulation of surface water hydrology. In CREAMS, a
       field  scale  model for chemicals, runoff, and erosion  from agricultural management
       systems. USDA Cons. Res. Report 26. Agr. Res. Serv. Washington, D.C.

Thomann, R.V. 1982. Verification of water quality models. J. Environ. Engr. Div. 108(5):923-
       940.

USDA -  Soil  Conservation Service.  1972. Hydrology. Sec. 4,  Chap. 10. SCS National
       Engineering Handbook. Washington, D.C.

USDA - Soil Conservation Service. 1987. Universal soil loss equation (USLE). Guidelines for
       estimating soil loss. VT Technical Guide, Section I-C. WinoosM, VT.

Vermont RCWP Coordinating Committee. 1991. Final Report St. Albans Bay Watershed Rural
       Clean Water Program. Vermont Water Resources Research Center. Burlington, VT.

                                       66

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Winter, T.C. 1981. Uncertainties in estimating the water balance of lakes. Water Resources
       Bulletin 17(1):83-115.

Wischmeier, W.H. and D.D. Smith.  1958. Rainfall energy and  its relationship to soil loss.
       Trans. Amer. Geophysical Union. 39(2):285-291.

Wischmeier, W.H. and D.D. Smith.  1978. Predicting rainfall erosion losses. U.S.D.A.
       Handbook 537. Washington, D.C.

Wisler, and Brater, 1967.  Hydrology. New York: John Wiley &  Sons, Inc.

Young, R.A., C.A. Onstad, D.D. Bosch, and W.P. Anderson. 1986. AGNPS: an agricultural
       nonpoint source pollution model. USDA-ARS, Morris, MN.  Minnesota Pollution Control
       Agency. St. Paul, MN. Unpublished report.

Young, R.A., C.A. Onstad, D.D. Bosch, and W.P. Anderson. 1987. AGNPS, agricultural non-
       point-source pollution model. A watershed analysis tool. USDA-ARS Conservation
       Research Report  35. NTIS, Springfield, VA.

Young, R.A., C.A. Onstad, D.D. Bosch, and W.P. Anderson.  1989. AGNPS:  A nonpoint
       source pollution model for evaluation of agricultural watersheds. J. Soil and Water Cons.
       69-173.
                                       67

-------
 GLOSSARY
 Antecedent moisture condition (AMC). An indication of the wetness of the soil, with II being
 average, I being dryer than average, and HI being wetter than average.

 Calibration. The process during model development of adjusting parameter values to match
 observed values.  Also, synonymous with fitting in some applications.

 Distributed model. A model that defines spatial variations that are broken up into homogeneous
 area.

 Distributed watershed parameters. The variables within a model that change depending upon
 location within the watershed.

 Erodibility factor.  A factor used in the Universal Soil Loss Equation that accounts for the ease
 at which different soils may erode.

 Event based. A model that simulates a single runoff event and does not simulate flow between
 events.

 Fitted model.  A model that has parameter values obtained by fitting computed results to
 observed results.

 Lumped model.  A model that assumes the watershed is homogeneous.

 Manning's n. The roughness coefficient used in the Manning's Equation.   Greater roughness
 will result in lower stream velocity.  Coefficients are available for various  stream conditions.

 Mass balance approach.  A technique of determining all of the mass inputs, all of the mass
 outputs, and the storage within a system.

 Measured parameters  model.  A model where all the parameters are from known watershed
 characteristics by either measurement or estimation.

Model calibration. See calibration above.

Model verification.  Testing of a model with new field  data to determine whether the  model
adequately predicts observed data.

Nonpoint.  With respect to water resources, nonpoint refers to runoff that would originate in
a diffuse manner from the landscape, rather than from a pipe.
                                         68

-------
Rainfall energy intensity.  A factor used in the Universal Soil Loss Equation that represents
the energy delivered to the ground to initiate soil detachment. The factor varies with rainfall
intensity, season, and location.

Slope shape.  A factor used to adjust soil loss  depending on whether the slope is uniform,
convex, or concave.

Surface condition constant.  A value used in AGNPS that adjusts the time for overland flow
to become channelized based on the land use condition.

USLE.  Represents the Universal Soil Loss Equation used in AGNPS.

Verification. See model verification above.

1 yr - 24 hr storm.  The amount of a precipitation storm of a 24 hour duration expected to
occur, on the average, once a year.
                                         69

-------
APPENDIX A
 Hydrographs
     70

-------
     Hydrograph of LaPlatte Event



             Date: 4/17/82
O
                 Time, hr
                 71

-------
Hydrograph of LaPlatte Event



        Date: 4/10/83
             Time, hr
             72

-------
     Hydrograph of LaPlatte Event




             Date: 6/6/83
•B
               10
15
20
25
                  Time, hr
                  73

-------
    Hydrograph of LaPlatte Event



            Date:  8/8/83
025
0.15
 01
0.05
  0
                74

-------
   Hydrograph of LaPlatte Event

            Date: 8/11/83
1.8


1.6


1.4


1.2


 1


0.8


Q6


0.4


0.2
	>
          10
         I
        20

        Time, hr
I
30
40
                 75

-------
   Hydrograph of LaPlatte  Event



           Date: 9/21/83
20
15
10
                Trne, hr
                76

-------
     Hydrograph of LaPlatte Event

             Date: 11/11/83
o
40

35

30

25

20

15

10

5
             10
                 ~
                 15

                 Tims hr
20
25
30
                  77

-------
  Hydrograph of LaPlatte Event



          Date: 4/17/84
0
               Trne. hr
               78

-------
Hydrograph of LaPlatte Event



        Date: 5/23/84
             Tine.
             79

-------
    Hydrograph of LaPlatte Event




             Date: 4/6/85
•8
           10
15
20
                 Time, hr
                 80

-------
   Hydrograph of LaPlatte Event



           Date: 6/5/85
1.4 rr
                Time, hr
                81

-------
Hydrograph of LaPlatte Event



        Date: 8/3/86
                       40
             Time, hr
            82

-------
Hydrograph of LaPlatte Event



        Date: 8/27/86
             Tine, hr
             83

-------
Hydrograph of LaPlatte Event



        Date: 9/29/86
   1.0    20
            Tine, hr
             84

-------
   Hydrograph of LaPlatte Event

          Date: 3/31/87
0
0
 I
 10

Time, hr
I
15
20
               85

-------
   Hydrograph of Jewett Brook Event




              Date: 4/6/85
•B
  100
  50
   0
   0
                  Tine, hr
                  86

-------
  Hydrograph of Jewett Brook Event

              Date: 4/16/84
  200
  150
•8
  100
  50
   0
   0
10
I
15
20
                   Trne, hr
30    26
                   87

-------
 Hydrograph of Jewett Brook Event
140


120


100


BO


60


40


20


 0
            Date:  3/10/83
~
10
                  I
                  20
30
40
                  Tine, hr

-------
   Hydrograph of Jewett Brook Event



              Date: 10/5/83
•8


S
3


I
Q
QB




Q7




Q6




Q5




Q4




Q3




Q2




Q1




 0
   0
      T

      5
10
•15
20
25
I

30
                   Time, hr
                   89

-------
   Hydrograph of Jewett Brook Event




             Date: 4/17/84
•8
  100
  50
   0
                  Tine, hr
                  90

-------
  Hydrograph of Jewett Brook Event



            Date: 5/29/84
•8
  o
                 Trne, hr
                 91

-------
  Hydrograph of Jewett Brook Event



             Date 4/18/85
•8
          10
                 T'me. hr
                  92

-------
Hydrograph-of Jewett Brook Event




          Date: 11/26/86
0
 0     10     20
               Tine, hr
               93

-------
Hydrograph of Jewett Brook Event




          Date: 10/28/87
0
               Tine, hr
               94

-------
Hydrograph of Jewett Brook Event




          Date: 5/23/84
50
0
 0
                95

-------
  Hydrograph of Jewett Brook Event




            Date: 9/21/83
•8

                                 250
                 Trie, hr
                 96

-------
    APPENDIX B




EXAMPLE INPUT FILES
        97

-------
                 LaPlatte River Subwatershed 3
LaP3 4-10-83 1-15-90 Rl
9.8
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
40
4
6
7
9
41
5
6
13
13
9
6
11
12
20
14
22
18
12
18
19
20
27
17
18
19
20
20
27
28
23
24
38
34
27
28
37
31
37
38
37
.9 1.5
52
58
53
55
55
59
61
55
55
58
56
63
57
54
57
58
62
63
58
56
58
59
62
59
54
53
61
59
60
62
60
55
55
56
59
56
56
53
53
58
13.7
13.9
8.0
6.8
24.2
3.7
10.4
8.0
5.2
4.5
3.6
6.6
11.3
15.6
8.7
7.5
4.4
10.9
9.9
6.1
19.4
4.0
7.1
19.3
10.3
9.6
1.6
3.6
3.7
4.0
12.8
8.9
10.3
3.7
1.5
4.1
7.5
5.0
5.6
10.4
1
1
2
1
2
1
1
2
1
1
1
2
1
1
2
1
1
2
2
2
2
2
1
2
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
94
125
155
161
128
188
137
134
161
152
200
138
91
97
116
154
191
126
136
166
132
200
164
124
131
132
200
200
177
200
120
159
129
182
197
198
126
163
167
115
6.7
7.0
4.0
5.0
3.0
3.0
4.6
9.1
2.0
2.3
3.0
1.3
8.1
6.1
4.4
3.8
1.5
3.0
1.4
1.5
6.1
2.0
3.0
4.6
5.2
4.8
1.1
3.0
3.0
2.0
1.5
3.8
1.5
2.9
3.0
2.1
1.5
4.6
3.0
3.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
.100
.035
.100
.100
.030
.030
.080
.075
.080
.080
.075
.080
.035
.030
.030
.030
.035
.035
.035
.030
.035
.035
.035
.035
.100
.080
.080
.035
.080
.035
.035
.080
.080
.100
.080
.080
.080
.080
.080
.075
.35
.42
.43
.44
.49
.49
.40
.37
.47
.37
.49
.45
.37
.44
.32
.43
.49
.48
.45
.47
.39
.49
.47
.39
.40
.40
.49
.49
.46
.49
.43
.43
.39
.47
.49
.49
.46
.49
.48
.40
.01
.60
.01
.01
.01
.01
.40
.01
.40
.40
.40
.40
.60
.01
.01
.01
.60
.60
.60
.01
.60
.60
.60
.60
.01
.40
.40
.60
.40
.60
.60
.40
.40
.01
.40
.40
.40
.40
.40
.40
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
.29 4
.22 6
.29 6
.29 5
.15 7
.15 7
.29 7
.29 5
.29 5
.29 7
.05 1
.22 7
.22 7
.15 5
.15 7
.15 5
.22 3
.22 1
.22 7
.15 7
.22 7
.22 6
.22 1
.22 1
.29 1
.29 1
.29 8
.22 7
.29 7
.22 1
.22 1
.29 5
.29 3
.29 1
.29 1
.29 3
.29 1
.29 7
.29 7
.05 1
2 0
3 0
3 0
3 0
3 0
3 0
3 0
3 0
2 0
3 0
3 0
3 0
2 0
3 0
2 0
3 0
3 0
3 0
3 0
3 0
2 0
3 0
3 0
2 0
2 0
2 0
3 0
3 0
3 0
3 0
3 0
3 0
2 0
3 0
3 0
3 0
3 0
3 0
3 0
2 0
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
•o
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
X)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
65
60
65
65
60
60
60
65
60
60
60
60
65
60
60
60
60
60
60
60
60
60
60
60
65
60
60
60
60
60
60
60
60
60
60
80
80
60
60
60
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
                              98

-------
                              Jewett Brook
  Jewett Brook Event:  3/10/83
9.8 343   0.6   1.2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
3
4
5
3
8
9
9
12
13
14
15
17
17
15
19
21
18
25
25
26
20
28
24
25
26
34
26
36
28
31
32
33
34
42
44
44
46
37
49
50
51
43
53
43
56
56
46
47
61
62
63
53
65
53
54
67
56
70
48
42
51
46
55
56
58
63
55
36
55
59
54
57
56
56
48
54
61
66
50
55
61
55
52
60
51
54
61
64
59
61
63
66
64
57
59
58
66
63
64
58
61
63
67
65
69
57
66
64
65
62
64
66
60
60
53
45
2.8
1.7
1.9
1.5
1.1
1.4
1.2
1.0
1.2
1.5
1.3
1.0
1.1
1.9
1.5
1.5
1.6
1.2
1.0
1.4
1.6
1.2
2.0
1.2
1.0
1.0
1.5
1.2
1.1
1.7
3.8
1.6
1.0
1.0
1.0
1.2
1.2
1.7
1.1
1.7
1.0
1.0
1.0
1.0
1.0
1.0
1.0
1.5
1.1
1.2
1.3
1.0
1.0
1.0
1.0
1.0
1.4
1.7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
314
328
351
354
398
374
437
423
382
351
404
430
391
320
349
348
340
380
400
374
362
400
300
381
400
441
373
394
442
352
257
371
403
450
444
417
403
339
396
364
400
413
450
450
450
450
449
381
390
388
384
433
450
450
450
450
387
334
1.4
.9
1.0
.8
.6
.7
.6
.5
.6
.8
.7
.5
.6
1.0
.8
.8
.8
.6
.5
.7
.8
.1
1.0
.6
.5
.5
.8
.1
.6
.9
1.9
.8
.5
.5
.5
.1
.6
.9
.6
.9
.5
.5
.1
.1
.5
.5
.5
.8
.6
.6
.7
.5
.1
.5
.5
.5
.7
.9
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
.130
.200
.200
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                                   99

-------
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-------
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4.9 10.0 .100 .23 .01
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.5 10.0 .080 .32 .51
.7 10.0 .080 .49 .01
1.1 10.0 .080 .46 .01
.4 10.0 .070 .37 .01
.4 10.0 .070 .38 .01
1.6 10.0 .080 .33 .01
1.0 10.0 .080 .35 .01
.5 10.0 .130 .36 .01
.7 10.0 .080 .45 .02
.7 10.0 .200 .43 .02
1.5 10.0 .100 .26 .01
2.9 10.0 .100 .22 .01
1.6 10.0 .100 .24 .01
.8 10.0 .080 .49 .51
1.1 10.0 .080 .48 .51
.4 10.0 .070 .27 .01
1.1 10.0 .080 .46 .02
-.8 10.0 .080 .38 .02
2.1 10.0 .130 .28 .01
1.3 10.0 .130 .27 .01
.7 10.0 .080 .32 .01
.7 10.0 .080 .26 .01
1.1 10.0 .130 .22 .01
1.3 10.0 .130 .23 .01
.4 10.0 .070 .34 .02
1.3 10.0 .200 .30 .02
.9 10.0 .200 .30 .02
.7 10.0 .080 .30 .01
1.3 10.0 .080 .25 .01
3.1 10.0 .200 .29 .02
1.2 10.0 .200 .29 .02
.6 10.0 .130 .28 .01
.7 10.0 .080 .30 .01
2.2 10.0 .130 .28 .01
2.8 10.0 .200 .27 .02
.7 10.0 .100 .22 .01
.5 10.0 .100 .27 .01
2.4 10.0 .200 .22 .02
1.8 10.0 .100 .25 .01
.6 10.0 .100 .28 .01
1.3 10.0 .100 .22 .01
.60
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.50
.60
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.59
.29
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.22
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.59
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730
120
120
120
320
330
530
520
720
120
120
130
130
130
120
120
120
330
330
520
730
830
120
220
120
820
120
120
520
120
120
120
120
120
120
120
820
720
720
120
820
720
120
120
720
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
100 0
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100 0
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60
65
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115
60.
60
60
60
60
60
60
60
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115
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60
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60
60
60
60
60
60
60
60
60
60
60
60
60
60
60
65
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65
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0
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104

-------