Specific conductance is a measurement of the ability of a solution to conduct electrical current (measured at 25 degrees Celsius). The presence of charged ionic species in solution makes the solution conductive. The conductance of a solution increases as ion concentrations increase; therefore, the specific-conductance measurement provides an indication of ion or dissolved-solids concentration of the solution.

The background period at each site was defined by the number of consecutive calendar years that continuous daily specific-conductance data were available for a site. These data were available for 16 calendar years at the three primary study sites (1986-2001), 19 calendar years at Arkansas River at Portland (1983-2001), and 13 calendar years at Arkansas River at Pueblo (1989-2001). See USGS Scientific-Investigations Report 2004-5024 for a more detailed explanation.

Identification of significant changes require a statement of the risk that is acceptable to the scientist, manager, or decision maker. This risk, or significance level, is the probability of incorrectly rejecting the null hypothesis when in fact it is true. Whereas the risk does not depend on the data, the p-value provides information on the strength of the scientific evidence. The p-value is the probability of obtaining the computed test statistic, or one even less likely, when the null hypothesis is true. The evidence for rejection of the null hypothesis increases as the p-value becomes smaller. A p-value of 0.05 was used for this study.

The null hypothesis (Ho) is what is assumed to be true about the system under study prior to data collection, until indicated otherwise (Helsel and Hirsch, 1992).

Tolerance limits were selected for this application because they provide an estimation of the range that should contain a certain percentage of each individual measurement in the population. Within the context of a one-tailed test, an upper tolerance limit statistically defines what percentage of the population measurements will not exceed a defined upper limit. For the purposes of the study, and in consultation with the Southeastern Colorado Water Activities Enterprise, a 95-percent degree of confidence with a 97.5 percent population coverage was selected to determine the k-value for this report. See USGS Scientific-Investigations Report 2004-5024 for more detailed explanation.

A K-value is a numerical factor used to adjust the width of the tolerance interval as designated by the standard deviation of the data. The K-value defines the interval that includes at least a proportion of the population within the stated confidence. That is to say, you can define a K-value to assure that you have included x percent of the population (say 95) at a y percent confidence (say 95). As such, you can increase or decrease x and/or y as required for the application at hand. As x and y increase, the K-value becomes increasingly larger resulting in an increasingly larger width of the tolerance interval.

The use of flow-adjusted concentrations by the residuals method provides a way to remove the source of much of the variance due to the influence of streamflow; the concentrations of many constituents are affected by streamflow. Typically, concentration data need to be adjusted to account for varying streamflow before further analysis is done to evaluate changes in concentration. Residuals analysis regresses the measured value on some function of streamflow and uses the residuals from the regression (the observed measurement minus the predicted value) as flow-adjusted values. See USGS Scientific-Investigations Report 2004-5024 for more detailed explanation.

Daily loads were calculated as the product of estimated daily dissolved-solids concentration in milligrams per liter, the mean daily streamflow in cubic feet per second, and a conversion factor of 0.002697. The result of the calculations is expressed in units of tons per day.

Dissolved solids was chosen as the indicator parameter in this study for several reasons. First, dissolved solids in the river have been a concern to local water managers, water suppliers, and farmers in the lower Arkansas River Basin for many years. Second, dissolved solids also are a good indicator of the general water quality in the study area and can be accurately estimated from available specific-conductance data. Third, dissolved-solids concentrations (as estimated from specific conductance) are sensitive to changes in streamflow, water operations, and source contributions. Lastly, the use of dissolved-solids concentration data combined with streamflow allows for analysis of mass loading as a parameter of interest.

Dissolved solids consist of minerals, organic matter, and nutrients that have dissolved in water. The major components of dissolved solids of natural waters include bicarbonate, calcium, sulfate, hydrogen, silica, chlorine, magnesium, sodium, potassium, nitrogen, and phosphorus in the form of phosphate. The major dissolved solids in the Arkansas River near Pueblo are calcium (cation) and sulfate and bicarbonate (anions). Minor constituents that are normally present in trace concentrations in streams include iron, copper, zinc, boron, manganese, and molybdenum.

Daily values represent the average for a given day computed from as many as 96 measurements. These data are published annually in the USGS Water-Data Reports for Colorado (U.S. Geological Survey, 1984-2003).

Instantaneous data are single measurements in time. These data are published annually in the USGS Water-Data Reports for Colorado (U.S. Geological Survey, 1976-2003). Instantaneous specific-conductance data dating back to January 1975 were retrieved for all study sites on the Arkansas River (U.S. Geological Survey, 1976-2001). Similarly, instantaneous specific-conductance data dating back to January 1982 were retrieved for Fountain Creek at Pueblo (U.S. Geological Survey, 1983-2001).

Native water originates from within the Arkansas River Basin.

Transmountain water(non-native) originates from outside the basin and is conveyed by ditches or tunnels to the Arkansas River Basin.

Those entities with the oldest direct-flow water rights are said to have the senior water rights.

The Colorado
Water Quality Control Commission (2001) refers to dissolved solids
as * salinity*. Batie and Healy (1983) described the
high-salinity problem in this area as the most pervasive problem
associated with irrigated agriculture in the United States.

For each study site, daily mean dissolved-solids concentrations
were sorted by date and plotted to evaluate the * variability* for any given day of the calendar year (fig.
4). The daily variability in concentration for any single date
shows relatively little change regardless of the season for the sites
located on the Arkansas River. The average daily variability in daily
mean dissolved-solids concentrations at the Arkansas River at Portland
site (1983-2001) and Arkansas River above Pueblo site (1986-2001)
was less than 170 milligrams per liter while the daily variability
at the Arkansas River at Pueblo site (1989-2001) and Arkansas River
near Avondale site (1986-2001) was less than 320 milligrams per liter.
Daily variability at the Fountain Creek at Pueblo site (1986-2001)
was more pronounced (fig.
4) during the summer as dissolved-solids concentrations increased
in response to reduced streamflow due to irrigation and/or ground-water
pumping demands and dissolved-solids concentrations decreased in
response to increased streamflow due to storm runoff. The average
daily variability at the Fountain Creek at Pueblo site from April
through September was about 550 milligrams per liter. The daily variability
decreased to 308 milligrams per liter from October through March.