Prepared in cooperation with the Connecticut Department of Energy and Environmental Protection
The Connecticut Streamflow and Sustainable Water Use Estimator: A Decision-Support Tool To Estimate Water Availability at Ungaged Stream Locations in Connecticut
Scientific Investigations Report 2018–5135
U.S. Department of the Interior U.S. Geological Survey Cover. West Cornwall Covered Bridge spanning the Housatonic River near Cornwall, Connecticut. Photograph by Tracey Thayer, used with permission. The Connecticut Streamflow and Sustainable Water Use Estimator: A Decision-Support Tool To Estimate Water Availability at Ungaged Stream Locations in Connecticut
By Sara B. Levin, Scott A. Olson, Martha G. Nielsen, and Gregory E. Granato
Prepared in cooperation with the Connecticut Department of Energy and Environmental Protection
Scientific Investigations Report 2018–5135
U.S. Department of the Interior U.S. Geological Survey U.S. Department of the Interior RYAN K. ZINKE, Secretary U.S. Geological Survey James F. Reilly II, Director
U.S. Geological Survey, Reston, Virginia: 2018
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Suggested citation: Levin, S.B., Olson, S.A., Nielsen, M.G., and Granato, G.E., 2018, The Connecticut Streamflow and Sustainable Water Use Estimator—A decision-support tool to estimate water availability at ungaged stream locations in Connecticut: U.S. Geological Survey Scientific Investigations Report 2018–5135, 34 p., https://doi.org/10.3133/sir20185135.
ISSN 2328-0328 (online) iii
Acknowledgments
The authors thank Teresa Gannon of the Connecticut Department of Energy and Environmen- tal Protection for supplying water-use data and review of the report. The authors also thank U.S. Geological Survey colleagues Jeremy Newson and Hans Vraga for facilitating the incorpo- ration of water-use data into the StreamStats web application, and Elizabeth Ahearn, Gardner Bent, and Stacey Archfield for their technical reviews.
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Contents
Acknowledgments...... iii Abstract...... 1 Introduction...... 2 Estimation of Unaltered, Daily Mean Streamflow...... 3 Regional Regression Equations for Estimating Streamflow Quantiles...... 3 Streamgage Selection and Basin Characteristics...... 3 Model Development and Verification...... 5 Estimation of Streamflow Time Series by Use of a Reference Streamgage...... 8 Reference Streamgages Included in the Study Area...... 8 Selection of a Reference Streamgage for an Ungaged Site...... 8 Accuracy and Uncertainty of Estimated Unaltered Streamflow...... 9 Estimation of Daily Water-Use-Adjusted Streamflow...... 16 Time-Lagged Streamflow Depletion From Groundwater Withdrawals...... 16 Reported Water Use...... 17 Using the Connecticut Streamflow and Sustainable Water Use Estimator to Estimate Daily Streamflow and Sustainable Net Withdrawal...... 19 Limitations...... 19 Summary...... 19 References Cited...... 20 Appendix 1. Reference Streamgages and Periods of Record Used for the Connecticut Streamflow and Sustainable Water Use Estimator...... 23 Appendix 2. Basin Characteristics Tested for Use in the Regression Equations for Estimating Streamflow at Ungaged Sites With the Connecticut Streamflow and Sustainable Water Use Estimator...... 23 Appendix 3. Dates of Station Record and Dates of Extended Record for Reference Streamgages Used by the Connecticut Streamflow and Sustainable Water Use Estimator...... 23
Figures
1. Map showing locations of 61 U.S. Geological Survey reference streamgages with drainage basins, including 36 streamgages used for developing regression equations in the Connecticut Streamflow and Sustainable Water Use Estimator, Connecticut and vicinity...... 4 2. Diagram showing translation of a flow-duration curve to a time series of streamflow estimated by the Connecticut Streamflow and Sustainable Water Use Estimator using the QPPQ method...... 9 3. Map showing estimated Pearson r correlation coefficients for streamgages in the study area with the logarithm of daily mean streamflow at the U.S. Geological Survey streamgages A, 01208990, Saugatuck River near Redding, Conn., and B, 01194000, Eightmile River at North Plain, Conn., from October 1, 1960, to September 30, 2015...... 10 4. Boxplots showing the distributions of A, Nash-Sutcliffe efficiency and B, normalized root-mean-square error for observed and estimated daily mean streamflow at 61 U.S. Geological Survey streamgages from October 1, 1960, to September 30, 2015, Connecticut and vicinity...... 12 vi
5. Graphs showing observed and estimated A–B, daily mean streamflow and C–D, monthly mean streamflow for U.S. Geological Survey streamgages 01192600, South Branch Salmon Brook at Buckingham, Conn., and 01121000, Mount Hope River near Warrenville, Conn., from October 1, 1960, to September 30, 2015...... 13 6. Plots showing A, the observed and estimated mean of the monthly mean streamflow and B, the percent error of the estimated mean of the monthly mean streamflow for 61 U.S. Geological Survey streamgages used as reference streamgages in the Connecticut Streamflow and Sustainable Water Use Estimator, from October 1, 1960, to September 30, 2015, Connecticut and vicinity...... 14 7. Schematic diagram of the process used to compute 95-percent prediction intervals for daily unaltered streamflows estimated by the Connecticut Streamflow and Sustainable Water Use Estimator...... 15 8. Boxplots showing the coverage ratio for prediction intervals for daily and monthly mean time series of estimated unaltered streamflow at 61 reference streamgages used in the Connecticut Streamflow and Sustainable Water Use Estimator, from October 1, 1960, to September 30, 2015, Connecticut and vicinity...... 16 9. Map showing locations of permitted water withdrawals and wastewater discharges in central and eastern Connecticut used in the Connecticut Streamflow and Sustainable Water Use Estimator...... 18
Tables
1. Streamflow for selected exceedance probabilities for streamgages used in the development of the Connecticut Streamflow and Sustainable Water Use Estimator...... 3 2. Number of streamgages, regression methods, explanatory variables, estimated regression coefficients, and regression diagnostics for the regression equations for estimating daily mean streamflow at selected exceedance probabilities in ungaged, unaltered streams in Connecticut and vicinity...... 6 3. Basin characteristics used to develop the regression equations for estimating daily mean streamflow at selected exceedance probabilities for ungaged, unaltered streams in Connecticut and vicinity...... 7 4. Ranges of explanatory variables used in the development of the regression equations for estimating daily mean streamflow at selected exceedance probabilities for ungaged, unaltered streams in Connecticut and vicinity...... 8 vii
Conversion Factors
U.S. customary units to International System of Units
Multiply By To obtain Length inch (in.) 25.4 millimeter (mm) foot (ft) 0.3048 meter (m) mile (mi) 1.609 kilometer (km) Area square mile (mi2) 2.590 square kilometer (km2) Flow rate cubic foot per second (ft3/s) 0.02832 cubic meter per second (m3/s) inch per hour (in/h) 0.0254 meter per hour (m/h)
Temperature in degrees Celsius (°C) may be converted to degrees Fahrenheit (°F) as follows: °F = (1.8 × °C) + 32. Temperature in degrees Fahrenheit (°F) may be converted to degrees Celsius (°C) as follows: °C = (°F – 32) / 1.8.
Datum
Vertical coordinate information is referenced to the North American Vertical Datum of 1988 (NAVD 88). Horizontal coordinate information is referenced to the North American Datum of 1983 (NAD 83). Elevation, as used in this report, refers to distance above the vertical datum.
Abbreviations
CT DEEP Connecticut Department of Energy and Environmental Protection CT SSWUE Connecticut Streamflow and Sustainable Water Use Estimator GIS geographic information system GUI graphical user interface NRMSE normalized root-mean-square error NSE Nash-Sutcliffe efficiency RG reference streamgage USGS U.S. Geological Survey
The Connecticut Streamflow and Sustainable Water Use Estimator: A Decision-Support Tool To Estimate Water Availability at Ungaged Stream Locations in Connecticut
By Sara B. Levin, Scott A. Olson, Martha G. Nielsen, and Gregory E. Granato
Abstract as explanatory variables in the equations. At an ungaged site, interpolation between the streamflow quantiles estimated from Freshwater streams in Connecticut are subject to many the regression equations produces a continuous flow-duration competing demands, including public water supply; agricul- curve. A time series of daily mean streamflow at an ungaged tural, commercial, and industrial water use; and ecosystem site is then estimated by assuming that for each day, the and habitat needs. In recent years, drought has further stressed streamflow quantile occurs on the same date at both a refer- Connecticut’s water resources. To sustainably allocate and ence streamgage and the ungaged site. manage water resources among these competing uses, Federal, In a remove-one cross validation, estimated unaltered State, and local water-resource managers require data and daily mean streamflow agreed well with observed values at modeling tools to estimate the water availability at a variety reference streamgages, with a few exceptions. Nash Sutcliffe of temporal and spatial scales for planning purposes. The efficiency ranged from −0.43 to 0.97 with a median value of Connecticut Streamflow and Sustainable Water Use Estimator 0.88. The normalized root-mean-square error ranged from (CT SSWUE), developed by the U.S. Geological Survey in 16.6 to 120.4 percent with a median value of 34.5 percent. cooperation with the Connecticut Department of Energy and An empirical method for estimating 95-percent prediction Environmental Protection, is a decision-support tool for esti- intervals for unaltered daily and monthly mean streamflow mating daily unaltered streamflow and sustainable water use at was developed and tested by using the cross-validation data. ungaged sites in Connecticut. Prediction intervals for unaltered daily mean streamflow at the The CT SSWUE estimates unaltered daily mean stream- cross-validation reference streamgages performed well in most flow and water-use-adjusted streamflow for the period from cases. Gaged streamflow values from the cross-validation data October 1, 1960, to September 30, 2015, and the monthly fell within the prediction intervals a median 96.6 percent of sustainable net withdrawal at ungaged sites in Connecticut. the time for daily mean time series and 93.9 percent of the Unaltered streamflow is the estimated daily mean streamflow time for monthly mean time series. in a drainage basin in the absence of any water withdrawals The CT SSWUE computes water-use-adjusted streamflow or wastewater discharges and with minimal human develop- using spatially referenced water-use information provided by ment. Sustainable net withdrawal is the maximum net with- the Connecticut Department of Energy and Environmental drawal (withdrawal minus wastewater discharges) that can Protection. Available water-use information included permitted be drawn from a basin without critically depleting the water and registered water withdrawals and permitted wastewater available through natural streamflow patterns. Sustainable net discharges during 1998 to 2015 for the Thames River Basin withdrawal is defined for this study as the difference between and central coastal drainage basins. Water-use information was the unaltered daily mean streamflow and a user-defined target incorporated into the U.S. Geological Survey StreamStats web minimum streamflow. application for Connecticut and can be used for computing Weighted least squares and Tobit regression techniques water-use-adjusted streamflow and sustainable net withdrawal were used to develop equations for estimating streamflow at selected points of interest. Altered daily streamflow at ungaged sites at 19 streamflow quantiles with exceedance is computed by applying average daily withdrawals and probabilities ranging from 0.005 to 99.995 percent. Regres- wastewater discharges to the water balance equation. Average sions were based on streamflow quantiles and basin charac- daily surface water withdrawals and wastewater discharges teristics from 36 reference streamgages in and around Con- are applied directly to the daily water balance equation. necticut. Four basin characteristics—drainage area, mean of Time-lagged alterations on streamflow from groundwater the soil permeability, mean of the average annual precipitation, withdrawals or wastewater discharges are estimated by using and ratio of the length of streams that overlay sand and gravel a response-coefficient method developed from results of deposits to the total length of streams in the basin—are used previously published, calibrated groundwater models. 2 The Connecticut Streamflow and Sustainable Water Use Estimator: A Tool To Estimate Water Availability
Introduction Methods for estimating unaltered daily mean stream- flow were developed and documented by Archfield and Given competing demands for water and a long history others (2010) and have been replicated in other statewide or of development in Connecticut, water-resource managers regional applications (Stuckey and others, 2012; Gazoorian, need data and modeling tools to better understand the water 2015; Lorenz and Ziegeweid, 2016; Stuckey, 2016). The flow-duration curve for an ungaged basin in Connecticut can resources of many drainage basins in the State. The Connecti- be estimated by using regression equations developed and cut General Assembly established a Water Planning Council described in this report. The estimated flow-duration curve can in 2001 to address issues involving water companies, water be transformed into a time series of daily mean streamflow by resources, and State policies regarding the future of the State’s using the QPPQ method (Fennessey, 1994), which uses the drinking water supply. State legislation requires the Water time series at a reference streamgage site to assign a date to Planning Council to develop a State water plan that would the estimated streamflow quantiles at the ungaged site. The balance the needs of public water supply, economic develop- QPPQ method has been successfully used in several stud- ment, recreation, and ecological health (Public Act 14–163). ies (Hughes and Smakhtin, 1996; Smakhtin, 1999; Smakhtin The plan was submitted to the Connecticut Legislature on and Masse, 2000; Mahamoud, 2008; Shu and Ouarda, 2012; January 24, 2018. In 2005, the Connecticut General Assem- Linhart and others, 2013). An empirical method for estimat- bly passed Public Act 05–142 (CGS §26–141a and b), which ing prediction intervals for estimates of unaltered daily and required the Connecticut Department of Energy and Environ- monthly mean streamflow (Farmer and Levin, 2018) was also mental Protection (CT DEEP) to update standards for main- tested and implemented in this study. taining minimum streamflow targets in rivers and streams. The Natural streamflow patterns are affected by upstream act required these standards to balance river and stream ecol- surface-water and groundwater withdrawals and wastewater ogy, wildlife, and recreation while providing for public health, discharges within the basin. The CT SSWUE can compute flood control, industry, public utilities, water supply, public water-use-adjusted streamflow time series in order to assess safety, agriculture, and other lawful uses of water. In 2011, the the potential effects of a water-use scenario across the range State of Connecticut adopted new Stream Flow Standards and of historical hydrologic conditions. Reported water withdraw- Regulations (RCSA §26–141b). als and wastewater discharges during the years 1998 to 2015 Balancing human needs for water with the needs for were compiled from registered and permitted sources from the water in sustaining healthy ecosystems requires an understand- Thames River Basin and central coastal basins for use with ing of the natural streamflow at a given site and the human the CT SSWUE (see the section “Reported Water Use”). Users alterations to that streamflow. The seasonal and annual vari- may add additional withdrawal or wastewater discharge infor- ability of streamflow in Connecticut can complicate plans for mation for the basin of interest for scenario testing. Water-use sustainable water management. Daily streamflow can vary information was entered into the USGS StreamStats web over several orders of magnitude throughout the year, with the application (U.S. Geological Survey, 2012), which provides a lowest streamflow occurring during the summer months, when monthly water-use summary for the basin of interest. water withdrawals are typically the highest. This combination Users may input a minimum monthly streamflow target of low flows and large water withdrawals can negatively affect for the basin of interest in order to estimate the sustainable aquatic communities and streamflow habitats (Poff and Zim- net withdrawal. For the purpose of this report, sustainable merman, 2010; Armstrong and others, 2011). net withdrawal is defined as the maximum amount of water Since 2005, when the General Assembly required CT that can be withdrawn from a basin during the drought of DEEP to update streamflow standards, the U.S. Geological record, without causing the streamflow to be depleted past the Survey (USGS), in cooperation with CT DEEP, conducted minimum flow target. The target minimum streamflow can be several studies that contributed to planning and management a percentage of unaltered flow, or it can be a specific monthly of Connecticut water resources (Ahearn, 2008, 2010). As part flow set by the user. of the ongoing process of implementing streamflow standards, This report documents the data and methods used to new methods and tools are needed for describing and quantify- develop the CT SSWUE, which estimates streamflow and sus- ing streamflow and sustainable water use. The U.S. Geological tainable net withdrawal at ungaged sites in Connecticut. The Survey, in cooperation with CT DEEP, developed a tool for report explains the multistep process of estimating unaltered, the estimation of water availability by leveraging work done daily mean streamflow, including the development of regres- by the USGS for estimating water availability in Massachu- sion equations for 19 streamflow quantiles, the interpolation of setts (Archfield and others, 2010) and as part of the USGS the regressed streamflow quantiles into a continuous flow- StreamStats program (U.S. Geological Survey, 2017b). The duration curve, the transformation of the flow-duration curve Connecticut Streamflow and Sustainable Water Use Estima- into a time series of daily mean streamflows using the QPPQ tor (CT SSWUE) is a decision-support tool that estimates method, and the process used to estimate 95-percent predic- unaltered and water-use-adjusted streamflow and computes tion intervals for unaltered daily and monthly mean stream- the sustainable net withdrawal at ungaged sites in Connecticut flow. The report then documents the water-use data compiled under various water-use scenarios. for use with the CT SSWUE and the method for calculating Estimation of Unaltered, Daily Mean Streamflow 3 water-use-adjusted streamflow. The graphical user interface potential streamgages for this study. Of the sites considered, (GUI) and the limitations of the application of the CT SSWUE 36 streamgages were selected for use in the development of are also described. the regression equations for estimating streamflow quantiles (fig. 1; appendix 1). The selection criteria for inclusion in the regression equation development required the streamgage to have a minimum of 15 water years of complete record and Estimation of Unaltered, Daily Mean the basin to be unaffected by appreciable water withdrawals, Streamflow wastewater discharges, and streamflow regulation resulting in more than a diurnal fluctuation in streamflow. To accurately The CT SSWUE estimates unaltered, daily mean stream- characterize the lowest streamflows, the streamgages were also flow for the 55 water-year1 period from October 1, 1960, required to be active through the historic drought of the 1960s through September 30, 2015. The multistep process used to (Weiss, 1991). The 36 streamgages selected for use in regres- estimate a time series of unaltered daily mean streamflow sion development had from 15 to 103 water years of daily, involves several statistical and geostatistical methods. In the mean streamflow observations. The streamgages selected are first step, regression equations are used to estimate streamflow spatially well distributed in and near Connecticut (fig. 1). at selected quantiles along the flow-duration curve. A continu- Streamflow quantiles for each of the streamgages were ous flow-duration curve is produced by interpolating between computed by ranking the daily streamflows and computing the the regression-based quantiles. Next, the QPPQ method (Fen- exceedance probability (Vogel and Fennessey, 1994). Stream- nessey, 1994) is used to transform the flow-duration curve flow quantiles were determined at the 0.005-, 0.4-, 1-, 5-, 10-, into a daily time series using a reference streamgage that is 15-, 20-, 30-, 40-, 50-, 60-, 70-, 80-, 85-, 90-, 95-, 99-, 99.6-, hydrologically similar to the ungaged basin and has minimally and 99.995-percent exceedance probabilities (table 1). Several altered streamflow. of the streamgages shown in table 1 did not have records long enough for estimating the 0.005- and 99.995-percent exceed- ance probabilities. Equations for these two streamflow quan- Regional Regression Equations for Estimating tiles used only the 16 sites that had sufficiently long stream- Streamflow Quantiles flow records for computing the exceedance probabilities.
Regional equations to estimate streamflow quantiles Table 1. Streamflow for selected exceedance probabilities for an ungaged site with minimal streamflow alteration for streamgages used in the development of the Connecticut were developed by using streamflow records from selected Streamflow and Sustainable Water Use Estimator. streamgages and their respective physical and climatic basin [Table available for download at https://doi.org/10.3133/sir20185135] characteristics. Regression equations relating basin character- istics to streamflow were developed for exceedance prob- A total of 128 physical and climatic basin characteristics abilities of 0.005, 0.4, 1, 5, 10, 15, 20, 30, 40, 50, 60, 70, 80, (appendix 2) were compiled for the initial explanatory analysis 85, 90, 95, 99, 99.6, and 99.995 percent. The intermediary of potential variables in the regression equations. The basin streamflow quantiles are determined by interpolation to obtain characteristics included variables describing land-use type, a continuous flow-duration curve. The CT SSWUE transforms terrain, infiltration, basin and stream morphology, and climate. each exceedance probability in the flow-duration curve to a The source datasets of the basin characteristics are shown in normal Z-score by using equation 26.2.23 documented by appendix 2. Location coordinates were converted to the Con- Abramowitz and Stegun (1964) and linearly interpolates the necticut State Plane Coordinate System in feet prior to calcula- log-transformed streamflow quantiles from the regression tion of basin characteristics. equations across the Z-scores. The Z-score transformation is The geographic information system (GIS) dataset of needed in order to linearize the high degree of curvature at surficial geology (sand and gravel deposits) required some the high and low ends of the flow-duration curve. Log-linear manipulation to create a uniform GIS dataset that covered the interpolation of streamflow quantiles without this transforma- entire study area. Surficial geology datasets were unique to tion can exhibit bias at high and low flows (Archfield and each State and classified sand and gravel deposits differently. others, 2012). Each State’s surficial geology dataset was modified to be similar to Connecticut’s stratified drift dataset (Connecticut Department of Environmental Protection, 2009). For Rhode Streamgage Selection and Basin Characteristics Island, the State’s glacial deposits dataset (Rhode Island Streamgages with minimally altered flow in Connecti- Geographic Information System, 1989) was edited, and areas cut and adjacent, physiographically similar areas in Mas- attributed as “water,” “bedrock,” “till,” and “unknown” were sachusetts, Rhode Island, and New York were considered as removed. For New York, areally applicable surficial geology datasets (Cadwell and others, 1986) were obtained, and areas 1A water year extends from October 1 to September 30 and is designated by attributed as “water,” “artificial fill,” “swamp deposits,” the calendar year in which it ends. “till,” and “bedrock”—features that were not sand and gravel 4 The Connecticut Streamflow and Sustainable Water Use Estimator: A Tool To Estimate Water Availability