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Cost-Effectiveness of the
National Stream-Gaging Program

The U.S. Geological Survey began a na-
tionwide analysis of its stream-gaging pro-
gram during fiscal year 1983. The purpose
of the analysis is to define and document
the most cost-effective method of furnish-
ing streamflow information. The analysis is
being carried out over a 5-year period with
about 20 percent of the program being
analyzed each year. The Survey operates
about 8,000 continuous-recording gaging
stations nationwide that provide stream-
flow information for a large variety of
users. These gaging stations will be evalu-
ated (1) to identify the principal uses of
the data and to relate these uses to fund-
ing sources, (2) to identify alternate, less
costly methods of furnishing needed infor-
mation, and (3) to define strategies for
operating the program to minimize the
standard error in streamflow data while
staying within the operating budget. The
first two steps are designed to ensure that
sufficient need exists for operating a gag-
ing station. The third step provides for
allocation of financial and manpower
resources among the stations that remain
in the program after the screening process,
so that the program is operated in the
most cost-effective manner. An analysis
completed for the State of Maine early in
fiscal year 1983 will serve as a prototype.
In the first step, the known uses of
streamflow data generated at a gaging sta-
tion are compared against the objectives of
the stream-gaging program to ensure suffi-
cient justification exists for Survey involve-
ment at that station. Deficiencies in the
existing data-collection program are eval-
uated to ensure that all information needs
are met. The responsiveness of the opera-
tion of each station to the types of uses
also is evaluated to see that streamflow in-
formation is timely. For example, analysis
of the data uses for 51 stations in Maine
indicated that three stations should be
discontinued as soon as is practical and
that an additional three stations should be
discontinued at the end of short-term proj-
ects. Analysis also indicated that, as funds
become available, additional stations
should be established in the interior of
Maine to better define regional hydrology.
The second step of the analysis is used
to determine whether sufficient streamflow
information can be generated at a station

by methods other than operating a
continuous-record station. Primarily, two
alternate methods are considered, a flow-
routing model and a statistical regression
model. The flow-routing model uses the
traveltime of flow between stations, the
storage in the stream channel, and hydro-
logic routing techniques to transfer daily
flows from an upstream station to a down-
stream one. The statistical regression
model correlates daily flows at the station
of interest with daily flows at other nearby
stations. Once calibrated, both models can
be used to estimate daily flows at discon-
tinued stations by using daily flows from
operating stations. The accuracy of the
estimated streamflow must be suitable for
the intended usage for an alternate method
to be viable. In the Maine analysis, there
was one station where both models pro-
vided daily discharges of sufficient ac-
curacy for the intended usage. Both
models were calibrated using all existing
data, and the recommendation was to con-
tinue operating the station until sufficient
data were available to verify the models.

The final step is used to determine the best allocation of money and manpower among the stations that remain in the program after the two screening steps. Because there are so many uses made of streamflow data, minimization of the standard error of streamflow data, expressed as percentages, is chosen as the general measure of the program's effectiveness. This part of the analysis defines the uncertainty function for each station in the program, develops the necesary cost information, and determines the number of visits necessary to each station to minimize the uncertainty.

The uncertainty function relates the standard error of streamflow data to the number of visits and measurements made per year or season. Examples of typical uncertainty functions from the Maine study are given in figure 1. These uncertainty functions are computed using a statistical technique that evaluates the accuracy of the streamflow rating curve, the accuracy of transferring flows from nearby stations, and the variability of historical flows at the station. The rating curve at each station is the relationship that enables the hydrologist to convert the

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recorded water-surface elevation (gage height or stage) to streamflow. At some sites, additional correlative data are necessary to determine the flow, such as the fall in water surface between sites. When the recorder at the station fails to record the water-surface elevation (or other correlative data), the rating curve cannot be used, and daily flows must be estimated from flows at nearby sites or from historical flows at the station. The uncertainty function includes the variability or standard error of flows estimated in these various ways.

Once the uncertainty functions for each station are known, various costs associated with stream gaging can be determined. Feasible routes are defined for servicing the stations, and each station is assigned to one or more routes. The cost of servicing each station, route costs, and the minimum number of times each station should be visited are determined. The fixed costs of operating each station, including the cost of computing records and their storage and publication, are also determined. This information and the uncertainty functions are input to a computer program that determines the number of times each route is used. The routes selected are those with the largest reduction in uncertainty per dollar of expenditure. By varying the total budget and repeatedly running the program, an uncertainty or average

standard error relationship with the budget can be developed. Figure 2 is an example of an uncertainty-cost relationship for Maine. The original Maine stream-gaging program, consisting of 51 stations, operated with an annual budget of $211,000. As a result of the data-use analysis, it was recommended that 6 of the original 51 stations in the Maine stream-gaging program be discontinued. The stream-gaging program analyzed for cost-effectiveness consisted of 45 stations. The current criteria for operating the 45-station program require a budget of $180,300. This is the circle in figure 2 marked "Current Practice." The average standard error of the streamflow records was 17.7 percent. As can be seen in figure 2, this overall level of accuracy could be maintained with a budget of about $170,000 if allocation of resources among the gages was altered. The recommendation was to modify the operation of the program and to use the residual $10,300 to increase receipt of data from the interior of the State. The relationship in figure 2 indicates the reduction in uncertainty that can be achieved by increasing the total budget.

Studies like the one in Maine are scheduled for completion in 17 States during fiscal year 1983. The entire stream-gaging program will be analyzed over the next 5 years as part of the continuing effort of the Geological Survey to evaluate the Na

Figure 1. Typical uncertainty

functions for three gaging
stations in Maine.

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Section showing major processes controlling the transport through ground water and fate of coal-tar derivatives, St. Louis Park area, Minnesota.

Contamination of Ground Water by Coal-Tar
Derivatives in St. Louis Park, Minnesota

Operation of a coal-tar distillation and
wood-preserving facility in St. Louis Park,
Minnesota, from 1918 to 1972 resulted in
severe ground-water contamination. In
1978, the U.S. Geological Survey began
detailed studies of the transport and fate
of coal-tar derivatives through ground
water in the area. Local, State, and Federal
agencies will use the results of the studies.
to guide management decisions and to
design remedial action. The studies were
conducted in cooperation with the Min-
nesota Department of Health, Minnesota
Pollution Control Agency, city of St. Louis
Park, and the U.S. Environmental Protec-
tion Agency.

The problem of most immediate concern
to the city and to the State and Federal
regulatory agencies is the presence of tox-
ic organic compounds in water withdrawn
from some municipal wells. When the first
municipal well was drilled in 1932, the
Prairie du Chien-Jordan aquifer contained
water having a distinct coal-tar taste. The
well is 3,500 feet from the plant site.
From 1978 to 1981, use of seven more
municipal wells in this aquifer was discon-
tinued because the wells yielded water
containing trace amounts of coal-tar com-
pounds, including at times and places, the
carcinogen benzo(a)pyrene.

The Prairie du Chien-Jordan aquifer is
the region's major ground-water resource.
About 75 percent of ground-water with-
drawals in the St. Louis Park and Minne-
apolis-St. Paul metropolitan areas are
from this aquifer. The aquifer has good
natural protection from near-surface
sources of contamination. In the St. Louis
Park area, it is 250 to 500 feet below land

Vertical movement

of coal-tar fluids

Flow of uncontaminated
ground water

900

surface and is overlain by glacial drift, two
bedrock confining beds (Glenwood and
basal St. Peter), and two bedrock aquifers
(Platteville and St. Peter). Nonetheless, it is
now contaminated because materials
entered the aquifer through at least five
wells that hydraulically connect more than
one aquifer (multiaquifer wells). The single
major source is a well on the former plant
site that was drilled in 1917 to an original
depth of 909 feet. When first geophysical-
ly logged by the Survey in 1978, the well
had filled to a depth of 595 feet. The up-
permost 100 feet of the fill was mostly
coal tar. Moreover, approximately 150
gallons per minute of contaminated water
was moving through the well bore from
the St. Peter aquifer into the Prairie du
Chien-Jordan aquifer.

Contaminants in the Prairie du ChienJordan aquifer have moved at least 2 miles northeast and southeast of the plant site. The direction and rate of contaminant movement changes with time because the bedrock ground-water flow system continually adjusts to hydraulic stresses caused by water withdrawals and flow through multiaquifer wells. Contaminants move rapidly through the Prairie du ChienJordan aquifer because the upper part is a carbonate rock with fractures and solution channels. Consequently, the concentration and composition of contaminants in water pumped from the Prairie du Chien-Jordan aquifer through individual industrial and municipal wells fluctuates with time.

Contaminants entered the uppermost bedrock aquifer, the Platteville, directly from the drift and moved at least 4,000 feet from the plant site. Locally, the conDegradation of phenolic compounds by bacteria

Retardation of movement
of polynuclear aromatic
hydrocarbons by sorption

Dissolution of
coal tar by
ground water

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taminants have reached the St. Peter aquifer through the Glenwood confining bed and (or) through bedrock valleys where the confining bed has been removed by erosion.

The greatest mass of contaminants is in the drift near the plant site. Coal-tar derivatives reached the water table by percolation through the unsaturated zone and through ponds that received surface runoff and process water from the plant. Parts of the drift contain an undissolved liquid mixture of many individual coal-tar compounds. Chemical analyses of organic fluid and water from a monitoring well completed in the drift 50 feet below the water table identified more than 200 individual organic substances. The viscous organic fluid is denser than water and has moved slowly downward independent of the

direction of ground-water flow. Ground water entering the area of the plant site through the drift is contaminated by partial solution of the organic fluids and by release of compounds sorbed on the drift materials. The contaminated water moves laterally to the east and southeast and downward into the Platteville aquifer. Water in the drift 4,000 feet from the site contains less than 10 milligrams per liter of disolved organic carbon but has a distinct chemical odor and contains a large proportion of coal-tar compounds highly soluble in water.

One major group of coal-tar compounds (phenolic compounds) is being degraded to methane and carbon dioxide by bacteria that metabolize phenolic compounds in the anaerobic (oxygen-free) environment that exists in the aquifer. This finding is of

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