Water Quality and Quantity Inputs for the Urban Creeks Future Needs Assessment By Michael E. Barrett, Ann M. Quenzer, and David R. Maidment January 15, 1998 Center for Research in Water Resources Bureau of Engineering Reseach The University of Texas at Austin 2 TABLE OF CONTENTS INTRODUCTION............................................................................................................. 4 SCOPE ............................................................................................................................... 5 RUNOFF COEFFICIENTS............................................................................................. 5 SINGLE LAND USE RUNOFF DATA ................................................................................... 7 LARGE WATERSHED BASEFLOW DATA............................................................................ 9 WATER QUALITY........................................................................................................ 10 SINGLE LAND USE WATER QUALITY DATA................................................................... 11 BOD Concentration .................................................................................................. 14 COD Concentrations ................................................................................................ 15 Copper Concentrations............................................................................................. 16 Dissolved Phosphorus Concentrations..................................................................... 17 Ammonia Concentration ........................................................................................... 18 Nitrate Concentrations ............................................................................................. 19 Lead Concentration .................................................................................................. 20 TKN Concentration................................................................................................... 21 TOC Concentration................................................................................................... 22 Total Phosphorous Concentration............................................................................ 23 TSS Concentration .................................................................................................... 24 Zinc Concentrations.................................................................................................. 25 BASEFLOW WATER QUALITY DATA .............................................................................. 26 LARGE WATERSHED WATER QUALITY DATA................................................................ 26 SEASONAL VARIATIONS IN CONSTITUENT CONCENTRATIONS IN AUSTIN CREEKS......... 31 Procedure.................................................................................................................. 31 Results....................................................................................................................... 32 Conclusions............................................................................................................... 34 BIBLIOGRAPHY........................................................................................................... 36 3 4 INTRODUCTION To develop estimates of pollutant loads for urban creeks in the Austin area it is necessary to determine the quantity and quality of stormwater runoff which might be expected from all sites within the watersheds of these creeks. The City of Austin has undertaken the most comprehensive water quality monitoring program in the United States. Almost 20 years of stormwater data collected by the City in this program form the basis for this study. The annual pollutant loads derived from stormwater runoff from an area are commonly calculated using the formula suggested by the EPA (1992): )72.2)()(( 12 ))()(( ii i i AC RvCFP L ? ? ? ? ? ? = where: L i = Annual pollutant load (lb/ac/yr) P = Annual precipitation (in/yr) CF = Correction factor that adjusts for storms without runoff Rv I = Weighted average runoff coefficient C i = Average event mean concentration of the pollutant A i = Catchment area (acres) The equation is normally applied to gauged watersheds where stormwater runoff quantity and quality has been measured during selected events and an estimate of average annual load is required. The concept can be extended to estimate loads from ungauged watersheds when estimates can be made of the values of the variables for all areas in the contributing watershed. For many of the variables, such as area and average rainfall this is a trivial task; however, estimating runoff coefficients and water quality for all areas is more daunting. The City of Austin?s stormwater monitoring program was designed to characterize the quantity and quality of runoff associated with various land uses such as single family residential, commercial, industrial, etc. Consequently, it was felt that a 5 correlation between land use and stormwater runoff characteristics could be used to predict current pollutant loads in ungauged watersheds as well as future loads city-wide based on various development scenarios. This report presents the results of the analysis of this single land use monitoring data. This analysis is intended to develop estimates of runoff coefficients and average stormwater constituent concentrations for the Austin area. SCOPE The time and funds available for this study limit the detail with which the available data can be analyzed. Consequently, certain assumptions have been made about the reliability and accuracy of the data collection and processing. In particular, it has been assumed that each of the field sites was equipped to accurately measure flow and to collect samples representative of the runoff, and that samples were handled and analyzed in accordance with generally accepted protocols. The raw data was not examined for errors in transcription, laboratory reporting or for the methodology used to deal with censored data (i.e., values reported as below detection limit). For each storm sampled, an event mean concentration (EMC) has been calculated by City staff as a flow weighted concentration based on the relative volumes associated with each discrete sample. It is assumed that these calculations were done correctly. The area and impervious cover of each of the monitored watersheds is assumed to accurately characterize the drainage area. The data used in this analysis consists of the runoff coefficients and EMCs for individual events for each of the monitored watersheds. Because of these limitations, the values developed during this initial review should not be considered final, but they are appropriate for planning purposes and model development. RUNOFF COEFFICIENTS To accurately characterize the impact of increases in impervious cover on the water quantity in urban creeks it is necessary to determine the amount of flow contributed by all portions of the watershed. This flow is derived from direct surface runoff during storm events as well as baseflow which originates from rainfall infiltrating on pervious areas of the watershed. Data from the single land use monitoring program will be used to develop estimates of the amount of surface runoff; however, none of these sites has dry 6 weather flow. Therefore, the relationship between baseflow and land use will be derived from USGS data for large watersheds. The runoff coefficient for a watershed is a statistical measure which attempts to express the relationship between rainfall and direct runoff as a constant value. It is well known that the runoff coefficient is not a constant, but depends on factors such as the antecedent soil moisture, rainfall intensity, and rainfall volume. In addition, extrapolation of rainfall depth measured at a single point to uniform coverage of the entire watershed also introduces errors into the estimate. For watersheds with a high degree of impervious cover, this extrapolation may result in an apparent contradiction for some storms as runoff depth exceeds the rainfall depth. Despite these shortcomings, the concept of a single runoff coefficient value for a watershed has found widespread acceptance among engineers for estimating stormwater volumes. Consequently, in this study, only a single value will be developed for a given area. The term ?runoff coefficient? also is commonly applied to one of the terms in the rational equation. In this usage, it is a coefficient which relates runoff rate to rainfall intensity. Although the values for the different applications are similar, the values are not interchangeable and should not be confused. Although a runoff coefficient can be calculated for individual storms, it can also be defined to be the ratio of runoff to rainfall over a given time period. Since one of the goals of this research is to predict annual pollutant loads, an estimate of annual stormwater runoff is required. The long term average runoff is required for this calculation; therefore, the runoff coefficient for a site will be defined as suggested by Chow et al. (1988): ? = = M m m d v R r R 1 where: R v = the watershed runoff coefficient 7 ? = M m m R 1 = the total rainfall for all monitored events r d = the corresponding depth of runoff There are other methods for calculating the average runoff coefficient for a site based on the underlying distribution of the data, area climate factors, or size of monitored events. These methods are much more complex and not routinely used by engineers for design purposes. In addition, because of the scatter in the data collected at each of the sites, the other methods do not significantly increase the accuracy of the estimate. Further refinement of the estimate of are runoff coefficients should include examination of the field sites to verify that each has been equipped to accurately measure flow and rainfall. Single Land Use Runoff Data Rainfall/runoff data is available for 18 watersheds in the Austin area, which have an impervious cover which ranges from near zero to approximately 100%. A list of the watersheds used in this analysis and their characteristics are shown in Table 1. The runoff coefficient for an ungauged watershed is normally estimated by developing a relationship between impervious cover and runoff coefficient for other area watersheds. A perfect correlation between these two variables does not exist because of other factors which vary between the monitored watersheds such as slope, soil type, geology and other factors. Fortunately, these other factors are of secondary importance and most previous researchers have successfully predicted runoff coefficients based on impervious cover alone. A linear relationship was suggested by Shelley and Gaboury (1986), while Urbonas et al. (1990) fit their data with a 3 rd order polynomial. The use of a linear relationship is attractive because of the well developed statistical foundation for estimating parameter uncertainty. However, one might expect that the effect of an increase in impervious cover of a watershed would depend on the amount of existing impervious cover. In the extreme case, it is unlikely that all of the first 5% of impervious cover in a watershed would be directly connected to the receiving water so its effect would be diminished by flowing across surrounding pervious areas. 8 Conversely, the last 5% of impervious cover would all be directly connected to the drainage system and receiving water. In addition, the best fit linear relationship predicts a negative runoff coefficient for areas with low impervious cover. Consequently, the rainfall/runoff data for Austin area watersheds were fit with a 2 nd order polynomial as shown in Figure 1. Table 1 Watersheds Used to Estimate Rainfall/Runoff Relationship Watershed Impervious Cover Area (ac) Number of Observations Total Rain (in) Runoff Coefficient Alta Vista 0.62 0.7 18 14.3 0.42 Brodie Oaks 0.95 30.9 10 14.0 0.91 Hwy 6 BMP 0.58 4.9 57 37.5 0.36 Barton Ridge Plaza 0.80 3.0 37 22.9 0.77 Hwy 5 BMP 0.64 4.6 38 26.3 0.68 Holly @ Anthony 0.43 51.3 23 15.9 0.36 Airport 0.46 99.1 15 13.5 0.38 Bear @ 1826 0.01 3563 29 31.2 0.04 Windago Way 0.01 50 78 48.9 0.03 Jollyville Rd. 0.94 7.0 29 23.6 0.77 Lost Creek 0.22 210 25 27.3 0.14 Metric Blvd. 0.6 203 45 28.0 0.48 Spy Glass 0.88 3 29 21.1 0.67 Barton Creek Mall 0.86 47 52 55.6 0.80 St. Elmo East 0.60 16.4 21 15.9 0.60 St. Elmo West 0.84 5.8 21 15.9 0.72 Tar Branch 0.45 49 18 15.0 0.26 Travis Country 0.42 42 43 40.0 0.19 Since soil type and geology affect the value of the runoff coefficient, one would expect to see consistent differences in Austin area values related to these factors. Potentially, one of the more important regional differences in this area is related to the presence of the recharge zone of the Edwards aquifer. This is the area underlain by porous Edwards limestone and which might be expected to exhibit a lower runoff coefficient than those areas underlain by clays and relatively impermeable limestone. The runoff coefficients for sites located on the recharge zone have been plotted in Figure 9 1 using square symbols. As many of these sites fall above the best fit regression line as below indicating that the line applies equally well to areas on and off the recharge zone. y = 0.3428x 2 + 0.5677x + 0.0125 R 2 = 0.9155 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Impervious Cover Rv Non-Recharge Recharge Figure 1 Relationship Between Runoff Coefficient and Impervious Cover Large Watershed Baseflow Data The effect of increased impervious cover on the amount of baseflow in the Austin area creeks was estimated with stream flow data collected by the USGS. The observed hydrograph was divided into baseflow and direct runoff components with a computer program developed City of Austin staff. The separation of these two components is by nature an arbitrary process, and many different algorithms are commonly used. Consequently, there is no unique ?correct? solution. The City program was not analyzed for methodology; however, the output of the flow separation program was reviewed for several monitoring stations and the results appear to be reasonable. The amount of baseflow (as a fraction of the rainfall) was calculated for several creeks with different levels of impervious cover. A subsurface runoff coefficient, R s , can be defined in a manner analogous to the conventional surface runoff coefficient as the total baseflow divided by the total rainfall for the corresponding period. A list of the sites and amount of impervious cover is contained in Table 1. The amount of impervious cover for each watershed was estimated from maps of land use provided by the City 10 Planning Department. The department also provided a table which related land use to the degree of impervious cover. Table 2 USGS Sites Used to Estimate Baseflow Site Impervious Cover R s Barton Creek @ Lost Creek 0.09 0.14 Williamson Creek @ Oak Hill 0.16 0.12 Shoal Creek @ 12 th 0.54 0.03 Walnut Creek @ Webberville 0.30 0.09 Bear Creek @ 1826 0.07 0.16 Slaughter Creek @ 1826 0.13 0.18 Bull Creek @ Loop 360 0.14 0.15 Boggy 0.53 0.02 To determine the effect of impervious cover on the amount of baseflow, a linear regression was performed on the two variables as shown in Figure 2. A perfect correlation would not be expected because of differences in soil type, bedrock geology and other factors that influence the amount of rainfall which reappears in a given stream. The regression line intercepts the x-axis at an impervious cover of 0.87, indicating that no baseflow would be generated from land uses with greater impervious cover. WATER QUALITY The total constituent load delivered by each creek is a function of the quality and quantity of both baseflow and direct storm runoff. Consequently, it is necessary to estimate the average water quality for both flow regimes and to relate that quality to the land use, impervious cover or other characteristics of the watershed. The water quality of stormwater discharges can be estimated from the single land use monitoring data collected by the City; however, since there is no baseflow at these sites, the relationship between baseflow quality and watershed characteristics must be estimated from the large watershed data collected by the USGS. 11 y = -0.296x + 0.1837 R 2 = 0.9315 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18 0.20 0 0.1 0.2 0.3 0.4 0.5 0.6 IC Rs Figure 2 Relationship Between Impervious Cover and Baseflow Single Land Use Water Quality Data It is normally assumed that the quality of stormwater runoff from an area is largely a function of the land use. Consequently, most stormwater monitoring programs (including those mandated by the EPA) are developed to assess the quality associated with specific land uses. If a municipality were to develop a program based on sampling from watersheds which each have a unique land use, it is likely that each land use would have a unique value associated with it. In all subsequent calculations it would be assumed that all other areas with the same land use would have a similar average water quality. The City of Austin monitoring program was large enough to support the monitoring of several sites with similar land uses. In particular, there are multiple sites representing single and multi-family residential, commercial, industrial and other land uses. There are then two main objectives. The first is to characterize the ?average? quality of stormwater runoff for the monitored site (i.e., that value when multiplied by the annual runoff produces the total annual load from the watershed). The second is to extrapolate those data to develop ?average? water quality values for ungauged watersheds based on land use or other considerations. 12 Event mean concentrations have been developed by City staff for individual storms at the monitoring sites based on a flow weighted average concentration of discrete samples. There are several possible methodologies which use these values to calculate the concentration which represents the long term average quality. The choice of methodology might depend on assumptions about the underlying distribution of the data, the types of storms sampled relative to those that occur most commonly in the area, or other factors. It is also helpful to select a methodology which is widely accepted by the engineering and scientific communities. Consequently, the method recommended by the Driscoll (1983) and Gilbert (1987) for calculation of average concentrations for constituents which exhibit a lognormal distribution will be used. This method calculates the average concentration of a constituent at a site as: ) 2 ( 2 w u eM + = where: M = average concentration u = mean of the log transformed EMCs w 2 = variance of the log transformed EMCs Once the average concentration for a site has been determined, it is necessary to estimate concentrations for other, ungauged watersheds. It is commonly assumed that the type of land use is the major factor controlling the quality of stormwater runoff; however, these data did not strongly support that assumption. Within each land use category, it was found that concentrations varied widely for all constituents, so that the average concentration for each land use was not statistically different from those calculated for other land uses with multiple sites. This was also the conclusion of the EPA based on the analysis of water quality from sites across the country as part of the National Urban Runoff Program (1983). However, a fairly strong linear correlation with impervious cover was evident for many constituents and these relationships were used to estimate the water quality derived from ungauged watersheds. Concentrations of constituents 13 correlated with impervious cover at a confidence level of less than 85% were estimated based on the arithmetic mean of all monitored sites. There were several sites which were part of the monitoring program were excluded from this analysis. The list of sites and the reason for not using the data are listed in Table 3. Table 3 Monitoring Sites Excluded from Analysis Site Comments Airport Water quality not representative of most urban land uses Alta Vista Samples collected after runoff flows across grassy swale Old Bear Creek Monitoring data challenged in court Travis Country Ditch Concentrations much lower than adjacent site, represents water quality after grassy swale Holly @ Anthony Concentrations far higher than at any other site for all constituents. May include in future analyses pending field check for illegal connections or dumping. 14 BOD Concentration Table 4 Sites Used to Estimate BOD Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ck. Sq. Mall COMM 47.0 0.86 22 13 Barton Ridge Inflow COMM 3.0 0.80 14 13 Lavaca COMM 13.7 0.97 21 19 5th Street COMM 4.0 0.95 18 22 St. Elmo East INDU 16.4 0.60 6 7 East 7th Street INDU 29.3 0.70 2 14 Metric Blvd. INDU 202.9 0.60 21 14 Highwood Apts. MFR 3.0 0.50 24 9 Burton Road MFR 12.0 0.82 17 20 Spy Glass OFFI 1.5 0.86 13 14 Rollingwood SFR 62.8 0.21 8 6 Lost Creek SFR 209.9 0.23 18 7 Maple Run SFR 27.8 0.36 24 8 Hart Lane SFR 371.0 0.39 20 10 Travis Country Pipe SFR 41.6 0.41 15 12 Jollyville Road TRAN 9.5 0.81 24 8 Windago Way UNDEV 50.0 0.01 8 4 y = 13.859x + 3.5014 R 2 = 0.6202 0 5 10 15 20 25 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover BO D EM C, m g / L Figure 3 Relationship Between BOD and Impervious Cover 15 COD Concentrations Table 5 Sites Used to Estimate COD Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ridge Inflow COMM 3.0 0.80 15 80 Barton Ck. Sq. Mall COMM 47.0 0.86 23 106 Lavaca COMM 13.7 0.97 22 115 5th Street COMM 4.0 0.95 25 154 St. Elmo East INDU 16.4 0.60 6 51 Metric Blvd. INDU 202.9 0.60 21 78 East 7th Street INDU 29.3 0.70 3 124 Highwood Apts. MFR 3.0 0.50 25 39 Burton Road MFR 12.0 0.82 17 120 Spy Glass OFFI 1.5 0.86 15 85 Maple Run SFR 27.8 0.36 25 34 Hart Lane SFR 371.0 0.39 29 44 Lost Creek SFR 209.9 0.23 19 49 Rollingwood SFR 62.8 0.21 20 51 Travis Country Pipe SFR 41.6 0.41 19 71 HWY BMP 5 Inflow TRAN 4.6 0.64 5 63 Jollyville Road TRAN 9.5 0.81 28 76 Windago Way UNDEV 50.0 0.01 8 39 y = 97.72x + 18.254 R 2 = 0.6178 0 20 40 60 80 100 120 140 160 180 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover CO D EM C, m g / L Figure 4 Relationship Between COD and Impervious Cover 16 Copper Concentrations Table 6 Sites Used to Estimate Copper Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ridge Inflow COMM 3.0 0.80 5 0.007 5th Street COMM 4.0 0.95 9 0.025 Lavaca COMM 13.7 0.97 12 0.029 St. Elmo East INDU 16.4 0.60 7 0.014 East 7th Street INDU 29.3 0.70 2 0.016 Metric Blvd. INDU 202.9 0.60 9 0.030 Highwood Apts. MFR 3.0 0.50 25 0.009 Burton Road MFR 12.0 0.82 11 0.022 Spy Glass OFFI 1.5 0.86 4 0.011 Travis Country Pipe SFR 41.6 0.41 11 0.007 Maple Run SFR 27.8 0.36 25 0.007 Rollingwood SFR 62.8 0.21 10 0.009 Lost Creek SFR 209.9 0.23 11 0.013 Hart Lane SFR 371.0 0.39 18 0.015 Jollyville Road TRAN 9.5 0.81 28 0.018 Windago Way UNDEV 50.0 0.01 3 0.008 y = 0.0156x + 0.006 R 2 = 0.3308 0.000 0.005 0.010 0.015 0.020 0.025 0.030 0.035 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover Cu EM C, m g / L Figure 5 Relationship Between Copper and Impervious Cover 17 Dissolved Phosphorus Concentrations Table 7 Sites Used to Estimate Dissolved Phosphorus Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ridge Inflow COMM 3.0 0.80 12 0.138 5th Street COMM 4.0 0.95 18 0.252 Lavaca COMM 13.7 0.97 11 0.427 St. Elmo East INDU 16.4 0.60 7 0.079 Metric Blvd. INDU 202.9 0.60 17 0.168 East 7th Street INDU 29.3 0.70 2 0.207 Burton Road MFR 12.0 0.82 8 0.318 Spy Glass OFFI 1.5 0.86 13 0.138 Lost Creek SFR 209.9 0.23 7 0.130 Travis Country Pipe SFR 41.6 0.41 13 0.196 Windago Way UNDEV 50.0 0.01 5 0.044 y = 0.2371x + 0.0405 R 2 = 0.4421 0.000 0.050 0.100 0.150 0.200 0.250 0.300 0.350 0.400 0.450 0.00 0.20 0.40 0.60 0.80 1.00 IC DP EM C, m g / L Figure 6 Relationship Between Dissolved Phosphorus and Impervious Cover 18 Ammonia Concentration Table 8 Sites Used to Estimate Ammonia Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ridge Inflow COMM 3.0 0.80 15 0.299 Lavaca COMM 13.7 0.97 13 0.367 5th Street COMM 4.0 0.95 25 0.379 St. Elmo East INDU 16.4 0.60 7 0.299 Metric Blvd. INDU 202.9 0.60 16 0.302 East 7th Street INDU 29.3 0.70 3 0.319 Highwood Apts. MFR 3.0 0.50 25 0.223 Burton Road MFR 12.0 0.82 8 0.300 Spy Glass OFFI 1.5 0.86 15 0.222 Rollingwood SFR 62.8 0.21 12 0.179 Maple Run SFR 27.8 0.36 25 0.205 Lost Creek SFR 209.9 0.23 11 0.207 Hart Lane SFR 371.0 0.39 20 0.214 Travis Country Pipe SFR 41.6 0.41 16 0.306 Jollyville Road TRAN 9.5 0.81 28 0.400 Windago Way UNDEV 50.0 0.01 7 0.074 y = 0.2446x + 0.1273 R 2 = 0.695 0.000 0.100 0.200 0.300 0.400 0.500 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover N H 3 E M C , m g /L Figure 7 Relationship Between Ammonia and Impervious Cover 19 Nitrate Concentrations Nitrate concentrations in stormwater runoff or not correlated with either land use or impervious cover, so the average concentration for all sites of 0.82 mg/L-N was used. Table 9 Sites Used to Estimate Nitrate Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ck. Sq. Mall COMM 47.0 0.86 23 0.422 Lavaca COMM 13.7 0.97 21 0.676 Barton Ridge Inflow COMM 3.0 0.80 15 0.690 5th Street COMM 4.0 0.95 20 0.839 Metric Blvd. INDU 202.9 0.60 20 0.692 St. Elmo East INDU 16.4 0.60 6 1.490 East 7th Street INDU 29.3 0.70 2 2.184 Highwood Apts. MFR 3.0 0.50 25 0.293 Burton Road MFR 12.0 0.82 15 0.713 Spy Glass OFFI 1.5 0.86 16 0.889 Maple Run SFR 27.8 0.36 25 0.427 Lost Creek SFR 209.9 0.23 16 0.630 Travis Country Pipe SFR 41.6 0.41 18 0.662 Rollingwood SFR 62.8 0.21 20 0.919 Hart Lane SFR 371.0 0.39 30 1.148 HWY BMP 5 Inflow TRAN 4.6 0.64 2 0.430 Jollyville Road TRAN 9.5 0.81 27 0.472 Windago Way UNDEV 50.0 0.01 9 1.230 0.000 0.500 1.000 1.500 2.000 2.500 0.00 0.20 0.40 0.60 0.80 1.00 IC N O 3 E M C , m g /L Figure 8 Relationship (or lack of) Between Nitrate and Impervious Cover 20 Lead Concentration Table 10 Sites Used to Estimate Lead Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ridge Inflow COMM 3.0 0.80 5 0.013 5th Street COMM 4.0 0.95 9 0.036 Lavaca COMM 13.7 0.97 10 0.075 St. Elmo East INDU 16.4 0.60 6 0.010 East 7th Street INDU 29.3 0.70 2 0.024 Metric Blvd. INDU 202.9 0.60 9 0.031 Highwood Apts. MFR 3.0 0.50 25 0.011 Burton Road MFR 12.0 0.82 11 0.024 Spy Glass OFFI 1.5 0.86 3 0.015 Maple Run SFR 27.8 0.36 25 0.007 Lost Creek SFR 209.9 0.23 11 0.007 Rollingwood SFR 62.8 0.21 10 0.014 Travis Country Pipe SFR 41.6 0.41 12 0.015 Hart Lane SFR 371.0 0.39 18 0.044 HWY BMP 5 Inflow TRAN 4.6 0.64 2 0.038 Jollyville Road TRAN 9.5 0.81 28 0.049 Windago Way UNDEV 50.0 0.01 3 0.007 y = 0.0383x + 0.0025 R 2 = 0.328 0.000 0.010 0.020 0.030 0.040 0.050 0.060 0.070 0.080 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover P b E M C , m g /L Figure 9 Relationship Between Lead and Impervious Cover 21 TKN Concentration Table 11 Sites Used to Estimate TKN Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ck. Sq. Mall COMM 47.0 0.86 23 1.77 Barton Ridge Inflow COMM 3.0 0.80 15 1.85 Lavaca COMM 13.7 0.97 22 2.50 5th Street COMM 4.0 0.95 23 3 St. Elmo East INDU 16.4 0.60 7 1.06 Metric Blvd. INDU 202.9 0.60 21 1.83 East 7th Street INDU 29.3 0.70 3 2.15 Highwood Apts. MFR 3.0 0.50 22 0.69 Burton Road MFR 12.0 0.82 18 2.01 Spy Glass OFFI 1.5 0.86 15 1.58 Maple Run SFR 27.8 0.36 25 0.84 Hart Lane SFR 371.0 0.39 20 0.97 Rollingwood SFR 62.8 0.21 12 1.03 Lost Creek SFR 209.9 0.23 18 1.45 Travis Country Pipe SFR 41.6 0.41 17 1.90 Jollyville Road TRAN 9.5 0.81 27 1.09 HWY BMP 5 Inflow TRAN 4.6 0.64 2 1.21 Windago Way UNDEV 50.0 0.01 9 0.88 y = 1.4104x + 0.6852 R 2 = 0.4419 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover T K N E M C , m g /L Figure 10 Relationship Between TKN and Impervious Cover 22 TOC Concentration Table 12 Sites Used to Estimate TOC Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ridge Inflow COMM 3.0 0.80 14 6 Lavaca COMM 13.7 0.97 14 11 5th Street COMM 4.0 0.95 21 21 Barton Ck. Sq. Mall COMM 47.0 0.86 23 25 St. Elmo East INDU 16.4 0.60 7 9 East 7th Street INDU 29.3 0.70 3 9 Metric Blvd. INDU 202.9 0.60 15 13 Highwood Apts. MFR 3.0 0.50 25 10 Burton Road MFR 12.0 0.82 7 14 Spy Glass OFFI 1.5 0.86 13 18 Lost Creek SFR 209.9 0.23 10 7 Travis Country Pipe SFR 41.6 0.41 18 9 Hart Lane SFR 371.0 0.39 32 10 Maple Run SFR 27.8 0.36 25 12 Rollingwood SFR 62.8 0.21 19 20 HWY BMP 5 Inflow TRAN 4.6 0.64 5 7 Jollyville Road TRAN 9.5 0.81 24 26 Windago Way UNDEV 50.0 0.01 8 8 y = 8.5842x + 8.0139 R 2 = 0.1484 0 5 10 15 20 25 30 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover T O C EM C, m g / L Figure 11 Relationship Between TOC and Impervious Cover 23 Total Phosphorous Concentration Table 13 Sites Used to Estimate Total Phosphorous Concentration Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ck. Sq. Mall COMM 47.0 0.86 23 0.249 Barton Ridge Inflow COMM 3.0 0.80 15 0.391 Lavaca COMM 13.7 0.97 22 0.552 5th Street COMM 4.0 0.95 23 0.617 St. Elmo East INDU 16.4 0.60 7 0.307 Metric Blvd. INDU 202.9 0.60 22 0.470 East 7th Street INDU 29.3 0.70 3 1.104 Highwood Apts. MFR 3.0 0.50 24 0.211 Burton Road MFR 12.0 0.82 17 0.592 Spy Glass OFFI 1.5 0.86 15 0.216 Maple Run SFR 27.8 0.36 25 0.249 Rollingwood SFR 62.8 0.21 19 0.261 Hart Lane SFR 371.0 0.39 33 0.295 Lost Creek SFR 209.9 0.23 18 0.307 Travis Country Pipe SFR 41.6 0.41 18 0.414 Jollyville Road TRAN 9.5 0.81 28 0.222 HWY BMP 5 Inflow TRAN 4.6 0.64 2 0.301 Windago Way UNDEV 50.0 0.01 9 0.153 y = 0.3177x + 0.1944 R 2 = 0.1546 0.000 0.200 0.400 0.600 0.800 1.000 1.200 0.00 0.20 0.40 0.60 0.80 1.00 IC T P E M C , m g /L Figure 12 Relationship Between Total Phosphorus and Impervious Cover 24 TSS Concentration A TSS concentration of 190 mg/L was used based on the average of all monitored sites. Table 14 Sites Used to Estimate TSS Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) 5th Street COMM 4.0 0.95 18 142 Lavaca COMM 13.7 0.97 23 179 Barton Ck. Sq. Mall COMM 47.0 0.86 23 231 Barton Ridge Inflow COMM 3.0 0.80 15 289 St. Elmo East INDU 16.4 0.60 6 155 East 7th Street INDU 29.3 0.70 3 193 Metric Blvd. INDU 202.9 0.60 22 268 Highwood Apts. MFR 3.0 0.50 25 116 Burton Road MFR 12.0 0.82 17 296 Spy Glass OFFI 1.5 0.86 13 66 Lost Creek SFR 209.9 0.23 18 110 Travis Country Pipe SFR 41.6 0.41 18 128 Hart Lane SFR 371.0 0.39 33 156 Rollingwood SFR 62.8 0.21 19 206 Maple Run SFR 27.8 0.36 25 305 HWY BMP 5 Inflow TRAN 4.6 0.64 5 128 Jollyville Road TRAN 9.5 0.81 28 335 Windago Way UNDEV 50.0 0.01 10 95 0 50 100 150 200 250 300 350 400 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover T SS EM C ( m g / L ) Figure 13 Relationship Between TSS and Impervious Cover 25 Zinc Concentrations Table 15 Sites Used to Estimate Zinc Concentrations Site Land Use Drainage Imperv. # EMCs Average EMC (mg/L) Barton Ridge Inflow COMM 3.0 0.80 4 0.094 5th Street COMM 4.0 0.95 10 0.234 Lavaca COMM 13.7 0.97 9 0.271 St. Elmo East INDU 16.4 0.60 6 0.098 East 7th Street INDU 29.3 0.70 2 0.108 Metric Blvd. INDU 202.9 0.60 9 0.174 Highwood Apts. MFR 3.0 0.50 25 0.045 Burton Road MFR 12.0 0.82 11 0.131 Spy Glass OFFI 1.5 0.86 4 0.099 Maple Run SFR 27.8 0.36 25 0.022 Rollingwood SFR 62.8 0.21 10 0.039 Travis Country Pipe SFR 41.6 0.41 10 0.045 Lost Creek SFR 209.9 0.23 10 0.047 Hart Lane SFR 371.0 0.39 18 0.051 HWY BMP 5 Inflow TRAN 4.6 0.64 6 0.145 Jollyville Road TRAN 9.5 0.81 28 0.170 Windago Way UNDEV 50.0 0.01 3 0.065 y = 0.1877x R 2 = 0.5835 0.000 0.050 0.100 0.150 0.200 0.250 0.300 0.00 0.20 0.40 0.60 0.80 1.00 Impervious Cover Z n E M C , m g /L Figure 14 Relationship Between Zinc and Impervious Cover 26 Baseflow Water Quality Data The relationship between the quality of baseflow and land use was determined from an analysis of the large watershed water quality data. The USGS sites on the large watersheds sample water derived from a wide range of land uses and impervious covers; consequently, it is essentially impossible to associate water quality with specific land uses or degree of impervious cover. Therefore baseflow quality was determined for only two cases, developed and undeveloped. Watersheds selected to represent largely undeveloped watersheds include Barton Creek at Highway 71, Onion Creek near Driftwood, and Slaughter Creek at 1826. Developed watersheds selected include Shoal Creek at 12 th Street, Waller at 38 th , Waller at 23 rd , and Boggy Creek. The average baseflow quality at each site was calculated by City staff as the arithmetic mean of all samples collected during dry weather flow. The average for each category was calculated as the arithmetic mean of the appropriate site concentrations. Since baseflow is derived from groundwater, it was assumed that the TSS concentration was essentially zero and that sediment present during baseflow was derived from channel erosion or growth of algae in the stream. The results of these calculations are presented in Table 16. The quality of direct runoff for each parameter as a function of impervious cover (IC, expressed as decimal fraction) also is included in the table. There was no data available on total copper, lead, or zinc concentrations in baseflow. Large Watershed Water Quality Data The annual constituent load for the large watersheds is calculated as the product of annual runoff and average constituent concentration and is required for calibration of the GIS model. The load can be estimated by dividing the flow into direct runoff and baseflow and characterizing the quality of each of these separately. The data collected as part of the COA/USGS joint monitoring program provides the basis for these estimates. The amount of baseflow and direct runoff at each of the monitored sites were calculated by City staff using a computer program to separate these components of the stream hydrographs. This is the same program that was used to develop a relationship between impervious cover and the amount of baseflow. Although the program 27 algorithms were not reviewed as part of this study, the results appear reasonable and are in general agreement with estimates made by CRWR researchers. Table 16 Water Quality Model Inputs Constituent Storm Conc. (mg/L) Undev. Baseflow Dev. Baseflow TSS 190 0 0 BOD C=14(IC)+3.5 0.45 0.8 COD C=98(IC)+18 12 20 TOC C=8.6(IC)+8 2 5 DP C=0.24(IC)+0.04 0.014 0.06 TP C=0.32(IC)+0.19 0.02 0.12 NH 3 C=0.24(IC)+0.13 0.02 0.06 TKN C=1.53(IC)+0.13 0.28 0.46 NO 3 0.82 0.15 0.6 Cu C=0.016(IC)+0.006 NA NA Pb C=0.038(IC)+0.003 NA NA Zn C=0.19(IC) NA NA Water quality measurements at these sites consists of discrete samples collected periodically during dry weather to characterize the quality of baseflow. In addition, more intensive sampling has been conducted during storm events, usually consisting of 4 to 6 samples per event. City staff has proposed several ways to analyze these data to calculate average concentrations in the creeks; however, it is advantageous to adopt a standard methodology so the calculated values can be readily compared with those reported in other studies. Event mean concentrations (EMC) for each monitored direct runoff event were calculated by City staff based on a flow weighted average during the events. EMC?s are known to generally exhibit a lognormal distribution; consequently, the long term mean concentration can be estimated with the equation suggested by Driscoll (1986) and Huber (1992). )CV(MedianMean 2 1+?= 28 where CV is the coefficient of variation of the measured values. The mean concentrations calculated for direct runoff are shown in Table 17. The column labeled weight indicates the fraction of the total runoff that is composed of direct storm runoff at each of the sites. The shaded entries in the table are estimated values and were not calculated from concentrations measured at that location. The measured baseflow concentrations may follow either a normal or lognormal distribution; however, the range of measured values is relatively small so the calculated mean is not very sensitive to the method selected for the estimate. Therefore, the average concentration during dry weather flow was estimated as the arithmetic mean of the measured values. The calculated concentrations are shown in the second part of Table 17. The long term average concentration in the creeks was calculated as the weighted average of baseflow and direct runoff concentrations. These average concentrations are shown in the final portion of Table 17. Storm conditions Site Weight BOD (mg/L) COD (mg/L) TSS (mg/L) VSS (mg/L) NH3 (mg/L) TKN (mg/L) NO23 (mg/L) TN (mg/L) TP (mg/L) DP (mg/L) TOC (mg/L) TCD (?g/L) TPB (?g/L) FCOL (?g/L) FSTR (?g/L) Bull Ck 53.70 5.0 76 2145 177 0.08 2.85 0.51 3.25 0.29 0.06 38.4 0.05 15.50 52705 49704 BC @ Hwy 71 53.71 2.9 37 486 43 0.03 0.70 0.18 1.00 0.09 0.03 12.6 1.00 9.00 13054 24543 BC@Lost C. 52.87 2.9 34 323 31 0.03 0.67 0.22 0.89 0.11 0.04 13.1 1.99 6.01 12772 20808 BC@Loop 360 65.81 3.9 41 863 83 0.06 1.38 0.31 1.73 0.15 0.05 21.9 . 8.53 22222 27102 Shoal C. 91.61 13.8 90 1534 206 0.17 3.64 0.57 4.11 1.17 0.30 38.2 . 38.90 162762 156482 Waller 38 69.08 11.0 81 586 80 0.21 2.28 0.91 3.07 0.64 0.22 9.5 1.05 114.00 66599 84419 Waller 23 76.56 12.9 92 488 96 0.24 2.36 0.83 3.13 0.71 0.24 11.9 0.86 121.00 78881 88845 Boggy 95.13 14.6 89 1874 205 0.17 3.87 0.49 4.27 1.67 0.12 44.0 . . 250895 269771 Walnut 71.22 8.5 79 1412 151 0.18 1.88 0.68 2.62 0.60 0.18 20.4 1.28 27.30 20522 77693 Williamson 66.54 9.0 . 625 91 0.09 2.92 0.40 3.28 0.63 . 29.3 . . 81875 144789 Baseflow conditions Site Weight BOD (mg/L) COD (mg/L) TSS (mg/L) VSS (mg/L) NH3 (mg/L) TKN (mg/L) NO23 (mg/L) TN (mg/L) TP (mg/L) DP (mg/L) TOC (mg/L) TCD (?g/L) TPB (?g/L) FCOL (?g/L) FSTR (?g/L) Bull Ck 46.30 0.8 12 4 3 0.03 0.35 0.21 0.56 0.02 0.07 3.2 1.00 1.00 567 1166 BC @ Hwy 71 46.29 0.4 12 3 3 0.02 0.25 0.10 0.37 0.02 0.02 2.3 1.00 2.86 60 530 BC@Lost C. 47.13 0.5 11 4 4 0.02 0.22 0.17 0.40 0.03 0.02 2.2 1.00 1.18 82 154 BC@Loop 360 34.19 0.4 25 4 5 0.02 0.43 0.16 0.62 0.01 0.02 2.3 1.00 1.10 38 109 Shoal C. 8.39 0.8 15 6 3 0.05 0.46 0.60 1.06 0.04 0.04 3.9 . 1.29 7822 3364 Waller 38 30.92 0.8 10 5 2 0.05 0.59 0.80 1.78 0.25 0.04 . . . 437 391 Waller 23 23.44 0.8 10 5 2 0.10 0.59 1.19 1.78 0.25 0.04 . . . . . Boggy 4.87 0.9 34 9 3 0.03 0.35 0.47 0.82 0.05 0.09 5.4 . . 3023 1311 Walnut 28.78 0.8 15 5 3 0.04 0.48 0.55 1.05 0.03 0.04 3.8 . . 533 598 Williamson 33.46 0.6 10 3 2 0.03 0.34 0.26 0.56 0.17 0.08 3.0 . . 251 598 30 All conditions Site Weight BOD (mg/L) COD (mg/L) TSS (mg/L) VSS (mg/L) NH3 (mg/L) TKN (mg/L) NO23 (mg/L) TN (mg/L) TP (mg/L) DP (mg/L) TOC (mg/L) TCD (?g/L) TPB (?g/L) FCOL (?g/L) FSTR (?g/L) Bull Ck 100.00 3.1 46 1154 96 0.06 1.69 0.37 2.00 0.16 0.07 22.1 0.49 8.79 28567 27233 BC @ Hwy 71 100.00 1.8 25 262 24 0.02 0.49 0.14 0.71 0.05 0.02 7.8 1.00 6.16 7039 13427 BC@Lost C. 100.00 1.8 23 172 19 0.03 0.46 0.20 0.66 0.07 0.03 7.9 1.52 3.73 6792 11075 BC@Loop 360 100.00 2.7 36 569 56 0.04 1.06 0.26 1.35 0.11 0.04 15.2 . 5.99 14636 17872 Shoal C. 100.00 12.7 84 1406 189 0.16 3.37 0.57 3.85 1.08 0.28 35.3 . 35.74 149759 143632 Waller 38 100.00 7.8 59 406 56 0.16 1.76 0.87 2.67 0.52 0.17 . . . . . Waller 23 100.00 10.1 73 375 74 0.21 1.95 0.91 2.81 0.60 0.19 . . . . . Boggy 100.00 13.9 86 1783 195 0.17 3.70 0.49 4.10 1.59 0.12 42.1 . . 238827 256701 Walnut 100.00 6.3 60 1007 108 0.14 1.48 0.64 2.17 0.44 0.14 15.6 . . 14769 55504 Williamson 100.00 6.2 . 417 61 0.07 2.06 0.35 2.37 0.47 . 20.5 . . 54566 96547 Table 17 Average Concentrations for Large Watersheds Seasonal Variations in Constituent Concentrations in Austin Creeks Procedure The constituent concentrations measured from the Creeks were separated into those measurements made during base flow and those made during storm flow. Three constituents are analyzed here; total nitrogen, total phosphorus and BOD; because of the importance of these constituents in the WASP water quality model. A spreadsheet was set up using Microsoft Excel 5.0. Columns were made for the date that the measurement was made (day), the concentration of the constituent measured in the sample (mg/l), and the flow of the creek at the time of the sample (m 3 /s). If there was more than one sample on a particular day, a flow weighted average was calculated using Equation 1. Average Concentration = ? (Flow * Concentration) / ? Flow (1) Finally, all days were converted to the month of the year. Therefore, each day a sample was taken represented a typical constituent concentration found in that month. For example, January 1, 1985, is the same as January 15, 1995. Using Fourier Series and a multiple regression analysis, the measured concentrations were analyzed for seasonal variations. Equation 2 was used to set up the Fourier Series. C (j,m) = a o + ? (a k sin(2k?m/12) + b k cos(2k?m/12)) (2) where: C (j,m) = concentration measured at site j in month m (mg/l) j = index of sampling sites a o , a k , b k = intersects k = harmonics number (1, 2, ?, 5) m = month of the year(1, 2, ?, 12) The sin and cos functions were calculated for each of the samples that were measured. 32 The Fourier Series is used to describe the cyclical behavior of the concentrations where additional frequencies are added to describe the function. For example, if k = 1, then the concentrations have a one cycle per year (12 month periodicity). If k = 2, then the concentrations have two cycles per year (6 month periodicity), and so on. Multiple regression uses least squares to analyze the relationship between one dependent variable and one or more independent variables. A stepwise regression allows control of the way the system enters and removes variable from the regression analysis. There are two options in a stepwise regression. First, a backwards selection allows for a stepwise analysis where all the variables are considered initially and then removed one at a time if they are not statistically significant. Alternatively, a forward selection allows for a stepwise analysis where no variables are considered initially and then are added one at a time to obtain the final result. In the monthly concentration analysis, the concentration was considered the dependent variable with the month the measurement was taken and the sin and cos functions being the independent variables. A spreadsheet was set up with the concentrations in column 1, the month that the measurement was taken in column 2, the sin and cos functions were in columns 3-12. The spreadsheet was imported into the statistical package StatsgraphicsPlus. A multiple regression analysis was run on the three constituents for base flow and storm flow. The analysis included a regular multiple regression calculation, as well as, a forward and backward selection analysis. Results The multiple regression tool in StatsgraphicsPlus was used to analyze the constituents total nitrogen, total phosphorus, and BOD for storm flow and base flow. The F-ratio and the R-squared results were used to determine if there was a seasonal variation for constituent concentrations in the Austin Creeks. The F- ratio is a measure of variance explained by a ratio of the mean square of the model to the mean square error. The R- squared number reflects the extent of a linear relationship between the data sets. The F- ratio for the data sets should be greater than four to be statistically significant showing 33 that the data is not random and has some sort of trend. For the data to have a significant trend, the F-ratio is in the 100 to 300 range. Tables 18 and 19 show the F-ratio and R-squared values from the multiple regression and stepwise multiple regression analysis for the constituents; total nitrogen, total phosphorus, and BOD for both storm flow and base flow. Figure 15 shows the observed concentrations for each of the three constituents analyzed for the base flow and the storm flow conditions. Both the table and the graphs illustrate very little, if any, seasonal variation in the constituent concentrations. Table 18 F-ratio and R- Squared Values for Storm Flow. Storm Flow Constituent Multiple Regression Forward Selection Backward Selection F-Ratio R-Squared F-Ratio R-Squared F-Ratio R-Squared Total Nitrogen 2.35 7.48 14.19 4.12 14.19 4.12 Total Phosphorus 1.93 6.27 10.15 3.00 10.15 3.00 BOD 4.28 12.91 9.40 10.37 5.98 11.51 Table 19 F-ratio and R- Squared Values for the Constituents Analyzed ? Base Flow. Base Flow Constituent Multiple Regression Forward Selection Backward Selection F-Ratio R-Squared F-Ratio R-Squared F-Ratio R-Squared Total Nitrogen 4.21 14.09 8.42 10.44 8.42 10.44 Total Phosphorus 3.08 10.71 4.60 1.55 3.37 8.65 BOD 2.44 8.69 6.16 5.99 5.23 5.13 34 Base Flow (Total Nitrogen) 0.00 1.00 2.00 3.00 4.00 5.00 0 5 10 15 Month C onc e n t r a t i on ( m g/ l ) Observed Storm Flow (Total Nitrogen) 0.00 2.00 4.00 6.00 8.00 10.00 051015 Month C onc e n t r a t i on ( m g/ l ) Observed Base Flow (Total Phosphorus) 0.00 0.10 0.20 0.30 0.40 0.50 0 5 10 15 Month Co n cen t r ati o n (m g / l ) Observed Storm Flow (Total Phosphorus) 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 0 5 10 15 Month Co n cen t r ati o n (m g / l ) Observed Base Flow (BOD) 0 1 2 3 4 5 6 7 8 0 5 10 15 Month Co n cen t r ati o n (m g / l ) Observed Storm Flow (BOD) 0 10 20 30 40 50 0 5 10 15 Month Co n cen t r ati o n (m g / l ) Observed Figure 15 Observed Concentrations for Base Flow and Storm Flow Condition Conclusions The F-ratio for the three constituents analyzed did not meet the specified criteria of F-ratio greater than four or in the range of 100 to 300. The criteria were not met using multiple regression and stepwise multiple regression for any of the three constituents. The F-ratio showed that there is a marginal if any significance in the seasonal varability of the data set. Therefore, it can be concluded that there is no seasonal variation for the 35 constituent concentrations of total nitrogen, total phosphorus, and BOD in the Austin Creeks. The monthly load into each of the Austin Creeks can, therefore, be calculated by multiplying the monthly flow by the mean annual load. 36 BIBLIOGRAPHY Chow, V.T., Maidment, D.R., and Mays, L.W., 1988, Applied Hydrology, McGraw-Hill, Inc., New York. Driscoll, E.D., 1986, Lognormality of Point and Non-Point Source Pollutant Concentrations, in Urban Runoff Quality ? Impact and Quality, Proceedings of an Engineering Foundation Conference, Edited by Ben Urbonas and Larry Roesner, Henniker, New Hampshire, June 23-27, ASCE, New York. Gilbert, R.O., 1987, Statistical Methods for Environmental Pollution Monitoring, Van Nostrand Reinhold Company, New York. Huber, W.C., 1992, ?Contaminant Transport in Surface Water,? in Handbook of Hydrology, D.R. Maidment editor, McGraw-Hill, Inc., New York. Shelley, P.E., and Gaboury, D.R., 1986, Urban Runoff Quality, American Society of Civil Engineers, New York. U.S. Environmental Protection Agency, 1983, Results of the Nationwide Urban Runoff Program Final Report, EPA Planning Division, National Technical Information (NTIS) Service Accession No. PB84-8552. U.S. Environmental Protection Agency, 1992, Guidance Manual for the Preparation of Part 2 of the NPDES Permit Applications for Discharges from Municipal Separate Storm Sewer Systems, Report # 833-B-92-002. Urbonas, B.R., Guo, C.Y., and Tucker, L.S., 1990, ?Sizing capture volume for stormwater quality enhancement,? Flood Hazard News, Urban Drainage and Flood Control District, Denver, CO. 37 38 Appendix A: Impervious Cover Water Quality Relationships 39 SUMMARY OUTPUT for BOD Regression Statistics Multiple R 0.787538 R Square 0.620217 Adjusted R Square 0.594898 Standard Error 3.230315 Observations 17 ANOVA df SS MS F Significance F Regression 1 255.6163 255.6163 24.49621 0.000175 Residual 15 156.524 10.43493 Total 16 412.1403 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 3.501367 1.838299 1.904678 0.07618 -0.41688 7.419612 0.278735 6.724 X Variable 1 13.85932 2.800222 4.949365 0.000175 7.890785 19.82786 8.950389 18.76825 40 SUMMARY OUTPUT for COD Regression Statistics Multiple R 0.786025 R Square 0.617836 Adjusted R Square 0.593951 Standard Error 22.18292 Observations 18 ANOVA df SS MS F Significance F Regression 1 12728.6 12728.6 25.86683 0.00011 Residual 16 7873.313 492.0821 Total 17 20601.92 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 18.25402 12.59808 1.448952 0.166667 -8.45271 44.96075 -3.74077 40.24881 X Variable 1 97.71988 19.21371 5.085945 0.00011 56.98864 138.4511 64.17496 131.2648 41 SUMMARY OUTPUT for COPPER Regression Statistics Multiple R 0.575169952 R Square 0.330820473 Adjusted R Square 0.283021936 Standard Error 6.662319034 Observations 16 ANOVA df SS MS F Significance F Regression 1 307.205241 307.2052 6.921142 0.019755355 Residual 14 621.4109288 44.38649 Total 15 928.6161698 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 6.024214438 3.814984702 1.579093 0.136637 -2.158121243 14.20655012 -0.695153404 12.74358228 X Variable 1 0.156423238 0.059458286 2.630806 0.019755 0.028897784 0.283948692 0.051698809 0.261147667 42 SUMMARY OUTPUT DP Regression Statistics Multiple R 0.664875 R Square 0.442059 Adjusted R Square 0.380066 Standard Error 0.086256 Observations 11 ANOVA df SS MS F Significance F Regression 1 0.053054 0.053054 7.130741 0.025608 Residual 9 0.066961 0.00744 Total 10 0.120015 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 0.040489 0.061951 0.653563 0.529735 -0.09965 0.180631 -0.07307 0.154052 X Variable 1 0.002371 0.000888 2.670345 0.025608 0.000362 0.00438 0.000743 0.003999 43 SUMMARY OUTPUT NH3 Regression Statistics Multiple R 0.833675 R Square 0.695015 Adjusted R Square 0.67323 Standard Error 0.048517 Observations 16 ANOVA df SS MS F Significance F Regression 1 0.075099 0.075099 31.90385 6.01E-05 Residual 14 0.032955 0.002354 Total 15 0.108054 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 0.127318 0.027782 4.582739 0.000426 0.067731 0.186904 0.078385 0.17625 X Variable 1 0.002446 0.000433 5.648349 6.01E-05 0.001517 0.003374 0.001683 0.003208 44 SUMMARY OUTPUT NO3 Regression Statistics Multiple R 0.107176 R Square 0.011487 Adjusted R Square -0.0503 Standard Error 0.471023 Observations 18 ANOVA df SS MS F Significance F Regression 1 0.041249 0.041249 0.185921 0.672086 Residual 16 3.549807 0.221863 Total 17 3.591056 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 0.927395 0.267503 3.466864 0.003178 0.360315 1.494475 0.460367 1.394424 X Variable 1 -0.00176 0.00408 -0.43119 0.672086 -0.01041 0.00689 -0.00888 0.005364 45 SUMMARY OUTPUT PB Regression Statistics Multiple R 0.572696 R Square 0.32798 Adjusted R Square 0.283179 Standard Error 15.8718 Observations 17 ANOVA df SS MS F Significance F Regression 1 1844.206 1844.206 7.320773 0.016272 Residual 15 3778.711 251.9141 Total 16 5622.918 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 2.549932 9.074552 0.280998 0.782551 -16.792 21.89189 -13.3582 18.45808 X Variable 1 0.382659 0.141427 2.705693 0.016272 0.081214 0.684105 0.13473 0.630589 46 SUMMARY OUTPUT TKN Regression Statistics Multiple R 0.664751 R Square 0.441893 Adjusted R Square 0.407012 Standard Error 0.457484 Observations 18 ANOVA df SS MS F Significance F Regression 1 2.651381 2.651381 12.66835 0.002615 Residual 16 3.348667 0.209292 Total 17 6.000048 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 0.685227 0.259813 2.637381 0.017924 0.134447 1.236007 0.231623 1.138831 X Variable 1 0.014104 0.003962 3.559263 0.002615 0.005703 0.022504 0.007186 0.021022 47 SUMMARY OUTPUT TOC Regression Statistics Multiple R 0.385264 R Square 0.148428 Adjusted R Square 0.095205 Standard Error 5.934686 Observations 18 ANOVA df SS MS F Significance F Regression 1 98.22264 98.22264 2.788791 0.11437 Residual 16 563.528 35.2205 Total 17 661.7507 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 8.013897 3.370415 2.377718 0.030229 0.868938 15.15886 2.129543 13.89825 X Variable 1 0.085842 0.051403 1.669968 0.11437 -0.02313 0.194812 -0.0039 0.175586 48 SUMMARY OUTPUT TP Regression Statistics Multiple R 0.393226 R Square 0.154627 Adjusted R Square 0.101791 Standard Error 0.214388 Observations 18 ANOVA df SS MS F Significance F Regression 1 0.134511 0.134511 2.926551 0.106448703 Residual 16 0.735397 0.045962 Total 17 0.869909 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 80.0% Upper 80.0% Intercept 0.194446 0.121755 1.597025 0.129819 -0.063663238 0.452555 0.031689 0.357202 X Variable 1 0.003177 0.001857 1.710717 0.106449 -0.000759831 0.007113 0.000694 0.005659 49 SUMMARY OUTPUT TSS Regression Statistics Multiple R 0.276352 R Square 0.07637 Adjusted R Square 0.018643 Standard Error 80.32982 Observations 18 ANOVA df SS MS F Significance F Regression 1 8536.891 8536.891 1.322958 0.266964 Residual 16 103246.1 6452.881 Total 17 111783 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept 140.9873 45.62075 3.090421 0.007019 44.27565 237.6989 61.33875 220.6358 X Variable 1 0.800281 0.695776 1.150199 0.266964 -0.6747 2.275259 -0.41446 2.015025 50 SUMMARY OUTPUT Zn Regression Statistics Multiple R 0.764496 R Square 0.584455 Adjusted R Square 0.556752 Standard Error 0.047628 Observations 17 ANOVA df SS MS F Significance F Regression 1 0.047858 0.047858 21.09715 0.000352 Residual 15 0.034027 0.002268 Total 16 0.081885 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0% Intercept -0.00515 0.027231 -0.18923 0.852449 -0.06319 0.052889 -0.05289 0.042585 X Variable 1 0.194933 0.04244 4.593164 0.000352 0.104475 0.285392 0.120534 0.269333 51 52 Appendix B: Results from Seasonal Multiple Regression Analysis B-1 B-2 B-3 B-4 B-5 B-6 B-7 B-8 B-9 B-10 B-11 B-12 B-13 B-14 B-15 B-16 B-17 B-18 B-19 B-20 B-21 B-22