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Water-Quality Trend Analysis and Sampling Design for Streams in North DakotaWater-Quality Trend Analysis and Sampling Design for Streams in North Dakota, 1971-2000

Water-Resources Investigations Report 03-4094

 

By Aldo V. Vecchia

 

In cooperation with the North Dakota Department of Health

 


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Abstract

This report presents the results of a study conducted by the U.S. Geological Survey, in cooperation with the North Dakota Department of Health, to analyze historical water-quality trends in selected dissolved major ions, nutrients, and dissolved trace metals for 10 streams in southwestern and eastern North Dakota and to develop an efficient sampling design to monitor future water-quality trends. A time-series model for daily streamflow and constituent concentration was used to identify significant concentration trends, separate natural hydroclimatic variability in concentration from variability that could have resulted from anthropogenic causes, and evaluate various sampling designs to monitor future water-quality trends.

 

The interannual variability in concentration as a result of variability in streamflow, referred to as the annual concentration anomaly, generally was high for all constituents and streams used in the trend analysis and was particularly sensitive to the severe drought that occurred in the late 1980's and the very wet period that began in 1993 and has persisted to the present (2002). Although climatic conditions were similar across North Dakota during the trend-analysis period (1971-2000), significant differences occurred in the annual concentration anomalies from constituent to constituent and location to location, especially during the drought and the wet period.

 

Numerous trends were detected in the historical constituent concentrations after the annual concentration anomalies were removed. The trends within each of the constituent groups (major ions, nutrients, and trace metals) showed general agreement among the streams. For most locations, the largest dissolved major-ion concentrations occurred during the late 1970's and concentrations in the mid- to late 1990's were smaller than concentrations during the late 1970's. However, the largest concentrations for three of the Missouri River tributaries and one of the Red River of the North tributaries occurred during the mid- to late 1990's.

 

Concentration trends for total ammonia plus organic nitrogen showed close agreement among the streams for which that constituent was evaluated. The largest concentrations occurred during the early 1980's, and the smallest concentrations occurred during the early 1990's. Nutrient data were not available for the early 1970's or late 1990's. Although a detailed analysis of the causes of the trends was beyond the scope of this report, a preliminary analysis of cropland, livestock-inventory, and oil-production data for 1971-2000 indicated the concentration trends may be related to the livestock-inventory and oil-production activities in the basins.

 

Dissolved iron and manganese concentrations for the southwestern North Dakota streams generally remained stable during 1971-2000. However, many of the recorded concentrations for those streams were less than the detection limit, and trends that were masked by censoring may have occurred. Several significant trends were detected in dissolved iron and manganese concentrations for the eastern North Dakota streams. Concentrations for those streams either remained stable or increased during most of the 1970's and then decreased rapidly for about 2 years beginning in the late 1970's. The concentrations were relatively stable from the early 1980's to 2000 except at two locations where dissolved iron concentrations increased during the early 1990's.

 

The most efficient overall sampling designs for the detection of annual trends (that is, trends that occur uniformly during the entire year) consisted of balanced designs in which the sampling dates and the number of samples collected remained fixed from year to year and in which the samples were collected throughout the year rather than in a short timespan. The best overall design for the detection of annual trends consisted of three samples per year, with samples collected near the beginning of December, April, and August. That design had acceptable sensitivity for the detection of trends in most constituents at all locations. Little improvement in sensitivity was achieved by collecting more than three samples per year.

The sampling designs that were first evaluated for annual trends also were evaluated with regard to their sensitivity to detect seasonal trends that occurred during three seasons--April through August, August through December, and December through April. Design results indicated that an average of one extra sample per station per year resulted in an efficient design for detecting seasonal trends. However, allocation of the extra samples varied depending on the station, month, and constituent group (major ions, nutrients, and trace metals).

 

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Table of Contents

Abstract

Introduction

Stations selected for trend analysis

Concentration and streamflow data used in trend analysis

Time-series model used in trend analysis

Examples of trend analysis

Water-quality trend analysis

Major ions

Annual concentration anomalies

Concentration trends

Nutrients

Annual concentration anomalies

Concentration trends

Trace metals

Annual concentration anomalies

Concentration trends

Potential causes of historical water-quality trends

Sampling designs to monitor future water-quality trends

Detection of annual trends

Detection of seasonal trends

Summary

References

Appendix A

Table A1. Estimated trends in major-ion concentrations

Table A2. Estimated trends in nutrient concentrations

Table A3. Estimated trends in trace-metal concentrations

Appendix B

Figure B1. Dissolved calcium concentrations and fitted trends plus annual anomalies for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B2. Model-adjusted dissolved calcium concentrations and fitted trends for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B3. Dissolved sodium concentrations and fitted trends plus annual anomalies for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B4. Model-adjusted dissolved sodium concentrations and fitted trends for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B5. Dissolved sulfate concentrations and fitted trends plus annual anomalies for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B6. Model-adjusted dissolved sulfate concentrations and fitted trends for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B7. Dissolved chloride concentrations and fitted trends plus annual anomalies for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B8. Model-adjusted dissolved chloride concentrations and fitted trends for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B9. Total ammonia plus organic nitrogen concentrations, fitted trends plus annual anomalies, model-adjusted concentrations, and fitted trends for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B10. Total phosphorus concentrations, fitted trends plus annual anomalies, model-adjusted concentrations, and fitted trends for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B11. Dissolved iron concentrations and fitted trends plus annual anomalies for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B12. Model-adjusted dissolved iron concentrations and fitted trends for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B13. Dissolved manganese concentrations and fitted trends plus annual anomalies for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis

Figure B14. Model-adjusted dissolved manganese concentrations and fitted trends for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis


Figures

  1. Map showing locations of long-term U.S. Geological Survey streamflow-gaging stations selected for water-quality trend analysis
  2. Graphs showing daily streamflow for 1971-2000 (three values per month) for streamflow-gaging stations used in water-quality trend analysis
  3. Graphs showing annual streamflow anomalies for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis
  4. Graphs showing seasonal streamflow anomalies for streamflow-gaging stations used in water-quality trend analysis
  5. Graphs showing daily streamflow anomalies for 1971-2000 (three values per month) for streamflow-gaging stations used in water-quality trend analysis
  6. Graphs showing recorded dissolved sulfate concentrations and fitted low-frequency variability for 1971-2000 for the Heart River near Mandan, Cannonball River at Breien, and James River at LaMoure, N. Dak., streamflow-gaging stations
  7. Graphs showing fitted annual concentration anomalies for dissolved sulfate for 1971-2000 for the Heart River near Mandan, Cannonball River at Breien, and James River at LaMoure, N. Dak., streamflow-gaging stations
  8. Graphs showing fitted seasonal concentration anomalies for dissolved sulfate for the Heart River near Mandan, Cannonball River at Breien, and James River at LaMoure, N. Dak., streamflow-gaging stations
  9. Graphs showing dissolved sulfate concentrations with annual and seasonal anomalies removed and fitted trends for 1971-2000 for the Heart River near Mandan, Cannonball River at Breien, and James River at LaMoure, N. Dak., streamflow-gaging stations
  10. Graphs showing model-adjusted dissolved sulfate concentrations and fitted trends for 1971-2000 for the Heart River near Mandan, Cannonball River at Breien, and James River at LaMoure, N. Dak., streamflow-gaging stations
  11. Graphs showing recorded total ammonia plus organic nitrogen concentrations and fitted low-frequency variability for 1971-2000 for the Heart River near Mandan, Cannonball River at Breien, and Sheyenne River near Kindred, N. Dak., streamflow-gaging stations
  12. Graphs showing fitted annual concentration anomalies for total ammonia plus organic nitrogen for 1971-2000 for the Heart River near Mandan, Cannonball River at Breien, and Sheyenne River near Kindred, N. Dak., streamflow-gaging stations
  13. Graphs showing fitted seasonal concentration anomalies for total ammonia plus organic nitrogen for the Heart River near Mandan, Cannonball River at Breien, and Sheyenne River near Kindred, N. Dak., streamflow-gaging stations
  14. Graphs showing model-adjusted total ammonia plus organic nitrogen concentrations and fitted trends for 1971-2000 for the Heart River near Mandan, Cannonball River at Breien, and Sheyenne River near Kindred, N. Dak., streamflow-gaging stations
  15. Graphs showing normalized fitted annual concentration anomalies for dissolved calcium, sodium, sulfate, and chloride for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis
  16. Graphs showing normalized fitted concentration trends for dissolved calcium, sodium, sulfate, and chloride for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis
  17. Graphs showing normalized fitted annual concentration anomalies for total ammonia plus organic nitrogen and total phosphorus for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis
  18. Graphs showing normalized fitted concentration trends for total ammonia plus organic nitrogen and total phosphorus for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis
  19. Graphs showing normalized fitted annual concentration anomalies for dissolved iron and dissolved manganese for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis
  20. Graphs showing normalized fitted concentration trends for dissolved iron and dissolved manganese for 1971-2000 for streamflow-gaging stations used in water-quality trend analysis
  21. Graphs showing annual total cropland for southwestern North Dakota, annual total livestock inventory for southwestern North Dakota, and annual total oil production for North Dakota for 1970-2001
  22. Graphs showing model-adjusted total ammonia plus organic nitrogen concentrations, fitted trends based on piece-wise linear functions, and fitted trends based on livestock-inventory and oil-production data for the Knife River at Hazen, Heart River near Mandan, and Cannonball River at Breien, N. Dak., streamflow-gaging stations
  23. Graphs showing characteristic trends of selected sampling designs for detection of annual trends in major ions, nutrients, and trace metals for the Knife River at Hazen, N. Dak., streamflow-gaging station
  24. Graphs showing characteristic trends of selected sampling designs for detection of annual trends in major ions, nutrients, and trace metals for the Sheyenne River near Kindred, N. Dak., streamflow-gaging station
  25. Graphs showing characteristic trends of selected sampling designs for detection of seasonal trends in major ions, nutrients, and trace metals for the Knife River at Hazen, N. Dak., streamflow-gaging station
  26. Graphs showing characteristic trends of selected sampling designs for detection of seasonal trends in major ions, nutrients, and trace metals for the Sheyenne River near Kindred, N. Dak., streamflow-gaging station
  27. Graphs showing characteristic trends of selected sampling designs for detection of seasonal trends in major ions, nutrients, and trace metals for the Goose River at Hillsboro, N. Dak., streamflow-gaging station

Tables

  1. Streamflow-gaging stations selected for trend analysis
  2. Water-quality constituents selected for trend analysis
  3. Number of samples for concentration data and number of censored values
  4. Fitted model coefficients for annual concentration anomalies for dissolved sulfate for selected streamflow-gaging stations
  5. Fitted model coefficients for annual concentration anomalies for total ammonia plus organic nitrogen for selected streamflow-gaging stations
  6. Characteristic trends of selected sampling designs for major ions, nutrients, and trace metals

 

 

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