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<br />001924 <br /> <br />644 <br /> <br />], ENVIRON, QUAL., VOL. 27, MAY-JUNE 1998 <br /> <br /> <br />load calculations, with the order of preference being CDS, <br />SUM, and ROE. Sites with data retrieved from STORET <br />have dissolved-solids concentrations based on ROE, <br />Monthly and annual dissolved-solids loads are based on <br />estimates provided by the computer program SLOAD (Lieb- <br />ermann et aI., 1987). In SLOAD, periodic water-quality data <br />were used to calculate 3-yr moving regressions of dissolved- <br />solids loads based on the daily stream discharge record and, <br />if available, daily specific conductance. The accuracy of dis- <br />solved-solids loads estimations commonly are improved when <br />daily specific-conductance values are available, Daily dis- <br />solved-solids loads were estimated by applying the regression <br />coefficients to the daily-values data of discharge and specific <br />conductance, and then the daily loads were summed by month <br />and year to get aggregate monthly and yearly (calendar year <br />or water year) dissolved-solids loads. Although monthly dis- <br />solved-solids loads were determined for each site and then <br />used in the calculation of annual dissolved-solids loads, tabula- <br />tion of monthly loads for each site is too lengthy to include <br />in this article. In using moving regressions to calculate loads, <br />the dissolved-solids loads for the beginning and end years of <br />data-1970, 1980, or 1986 and 1993, respectively-were less <br />accurate than for the other years of data. To correct for this, <br />dissolved-solids loads for the time periods 1970 to 1993, 1980 <br />to 1993, and 1986 to 1993 were estimated based on data for <br />1969 to 1994, 1979 to 1994, and 1985 to 1994, respectively, <br /> <br />Streamflow Adjustment <br /> <br />Prior to analysis for trends, dissolved-solids concentrations <br />and loads for 1970 to 1993, 1980 to 1993, and 1986 to 1993 <br />were adjusted for streamflow. Without this adjustment, the <br /> <br />900,000 <br /> <br />800,000 <br /> <br />700 ,000 <br /> <br />C' 600,000 <br />~ <br />e <br />J! 500,000 <br />~ <br />~ <br />.c <br />0 <br />'" 400,000 <br />is <br />! 300,000 <br />en <br /> 200 ,000 <br /> 100,000 <br /> <br />o <br />{\~ <br />~ <br /> <br />~""" <br /> <br />{\'>< <br />~ <br /> <br />{\b <br />~ <br /> <br />{\'b <br />~ <br /> <br />~~ <br /> <br />fluctuation in dissolved-solids concentrations and loads due <br />to natural or human-induced causes may have been masked <br />by fluctuations in streamflow. Periodic dissolved-solids con- <br />centrations were adjusted for streamflow by a multiple regres- <br />sion of the natural log of concentration to the natural log of <br />streamflow and the square of the natural log of streamflow, the <br />residuals of which were called flow-adjusted concentrations <br />(Smith et aI., 1982; Liebermann et aI., 1989; Schertz et aI., <br />1991), To adjust monthly and annual loads for streamflow, a <br />relation between loads and streamflow was determined using <br />hyperbolic regression models (Smith et aI., 1982), The residu- <br />als, predicted values of the regression models minus the ob- <br />served values, were called the flow-adjusted loads, <br /> <br />Trends Testing <br /> <br />The flow-adjusted concentrations and flow-adjusted loads <br />were then tested for trends by using the seasonal Kendall test <br />for dissolved-solids concentrations and monthly loads and by <br />using linear regression for annual dissolved-solids loads. In <br />the seasonal Kendall test, variations in periodic concentration <br />data and monthly loads due to seasonality were accounted for <br />by comparing concentration or load values measured during <br />the same time periods or seasons. For example, January dis- <br />solved-solids load data of I yr were compared only with J anu- <br />ary dissolved-solids load data of other years. The seasonal <br />Kendall test determines whether the seasonal Kendall tau <br />value, which measures the strength of the monotonic relation- <br />ship between two variables, is significantly different from zero. <br />As tau deviates more from zero, with zero meaning no trend, <br />the greater is the likelihood of a trend, In the seasonal Kendall <br />test, the trend slopes are the median slopes of all possible <br /> <br />300 ,000 <br /> <br />250,000 <br /> <br />200,000 ~ <br />g <br />'-' <br /> <br />~ <br /> <br />'" <br />150,000 ] <br />o <br />en <br />-0 <br />o <br />> <br />Sl <br />'" <br />100,000 is <br /> <br />-Stream Discharge <br />- - - Dissolved-Solids Load <br /> <br />50,000 <br /> <br />o <br /> <br />OJ'b'''' <br />.... <br /> <br /><>,~ <br />'\: <br /> <br />!bb <br />,~ <br /> <br />!bIb <br />~ <br /> <br />Ojcf' <br />'\: <br /> <br />Ojo,'V <br />'\: <br /> <br />Water Year <br />Fig.2. Annual stream discharge and dissolved-solids loads for Eagle River at Gypsum (5), water years 1970-1993. Number after site name refers <br />to site number in Fig. 1. <br />