Table 8. Calibration results for the seven-parameter log-linear regression model of nutrient and sediment concentrations for selected sites in the lower Tennessee River Basin
[The numerical values of the coefficients β1-β6 are not shown; rather, the table entries indicate the time period spanned by the calibration data sets, which varied among sites and constituents; the colors of the numbers indicate the statistical significance and the sign (positive or negative) of the regression coefficients β1-β6 (see eq. 1); 1985-95, coefficient significant and positive; 1985-95, coefficient significant and negative; 1985-95, coefficient not significant; β1 significant and positive (negative) indicates that concentrations increase (decrease) with increasing streamflow; β3 significant and positive (negative) indicates an increasing (decreasing) temporal trend in concentration; β5 and β6 significant indicate that concentrations vary in a seasonal pattern, the patterns are illustrated at the bottom of the table; additional interpretation of the significance and sign of each coefficient is explained in the text; other regression statistics, such as coefficient of determination and standard error, are reported with load estimates in table 9; --, not estimated, and results not shown on fig. 19 because record during common period was insufficient; entries in italics are subject to larger error than the other entries, for various reasons (described in footnotes); R (riverine), tributary site at which streamflow is not regulated, or at which a major component of streamflow is not regulated; FR (flow regulated), site located in an impoundment or where streamflow is strongly influenced by an upstream impoundment; common period, the time span of the calibration data set used to obtain trend estimates for this common period is indicated in the table entries]
_____________________________________________________________________________________________________________________________________________
Common
period
Site β1 β5 β6 β3
identi- Surface-water station/site location (Logarithm β3 (Sine (Cosine ________
fication _________________________________________________ Site of (Decimal {2 * π {2 * π (Decimal
(fig. 2) Number Name type streamflow) time) * time}) * time}) time)
_____________________________________________________________________________________________________________________________________________
Total nitrogen as N
1 PR1038 Clarks River at Almo, Ky. R 1985-95 1985-95 1985-95 1985-95 1985-94
2 03604000 Buffalo River near Flat Woods, Tenn. R 1982-95 1982-95 1982-95 1982-95 1985-94
4 001025 Duck River below Normandy Dam, Tenn. FR 1986-95 1986-95 1986-95 1986-95 --
5 001065 Duck River at Williamsport, Tenn. R 1982-94 1982-94 1982-94 1982-94 1982-94
6 475793 Duck River above Hurricane Mills, Tenn. R 1986-93 1986-93 1986-93 1986-93 1985-94
7 002395 Shoal Creek at Highway 43 near R 1983-92 1983-92 1983-92 1983-92 --
Lawrenceburg, Tenn. a
9 001207 Elk River below Tims Ford Dam, Tenn. FR 1984-94 1984-94 1984-94 1984-94 1985-94
10 475796 Elk River near Prospect, Tenn. R 1987-92 1987-92 1987-92 1987-92 --
11 FLCR7 Flint Creek near Falkville, Ala. R 1993-97 1993-97 1993-97 1993-97 --
12 TOWNCREEK15 Town Creek near Geraldine, Ala. R 1988-96 1988-96 1988-96 1988-96 --
13 002375 Sequatchie River at Valley Road, Tenn. a R 1983-95 1983-95 1983-95 1983-95 1985-94
14 03609750 Tennessee River at Highway 60 near FR 1980-84 1980-84 1980-84 1980-84 --
Paducah, Ky.
15 202832 Tennessee River at mile 23, Ky. b FR 1990-94 1990-94 1990-94 1990-94 --
16 03593005 Tennessee River at Pickwick Landing Dam, FR 1980-96 1980-96 1980-96 1980-96 1985-94
Tenn.
17 03571850 Tennessee River at South Pittsburg, Tenn. FR 1980-85 1980-85 1980-85 1980-85 --
18 003315 Tennessee River below Raccoon Mountain, FR 1981-94 1981-94 1981-94 1981-94 1985-94
Tenn.
Total ammonia as N
1 PRI038 Clarks River at Almo, Ky. R 1985-95 1985-95 1985-95 1985-95 1986-94
2 03604000 Buffalo River near Flat Woods, Tenn. R 1987-92 1987-92 1987-92 1987-92 --
4 001025 Duck River below Normandy Dam, Tenn. FR 1987-95 1987-95 1987-95 1987-95 --
5 001065 Duck River at Williamsport, Tenn. R 1984-94 1984-94 1984-94 1984-94 1986-94
6 475793 Duck River above Hurricane Mills, Tenn. R 1987-94 1987-94 1987-94 1987-94 --
7 002395 Shoal Creek at Highway 43 R 1984-94 1984-94 1984-94 1984-94 1986-94
near Lawrenceburg, Tenn. a
9 001207 Elk River below Tims Ford Dam, Tenn. FR 1984-94 1984-94 1984-94 1984-94 1986-94
10 475796 Elk River near Prospect, Tenn. R 1987-94 1987-94 1987-94 1987-94 --
11 FLCR7 Flint Creek near Falkville, Ala. R 1993-97 1993-97 1993-97 1993-97 --
12 TOWNCREEK15 Town Creek near Geraldine, Ala. c R 1988-96 1988-96 1988-96 1988-96 --
13 002375 Sequatchie River at Valley Road, Tenn. a R 1983-95 1983-95 1983-95 1983-95 1986-94
15 202832 Tennessee River at mile 23, Ky. b FR 1990-94 1990-94 1990-94 1990-94 --
16 03593005 Tennessee River at Pickwick Landing Dam, FR 1980-96 1980-96 1980-96 1980-96 --
Tenn.
17 03571850 Tennessee River at South Pittsburg, Tenn. FR 1980-86 1980-86 1980-86 1980-86 --
19 SCARHAM- Scarham Creek near Kilpatrick, Ala. R 1988-96 1988-96 1988-96 1988-96 --
CREEK03
Total ammonia plus organic nitrogen as N
1 PRI038 Clarks River at Almo, Ky. R 1985-95 1985-95 1985-95 1985-95 1986-93
2 03604000 Buffalo River near Flat Woods, Tenn. R 1982-95 1982-95 1982-95 1982-95 1986-93
4 001025 Duck River below Normandy Dam, Tenn. FR 1986-95 1986-95 1986-95 1986-95 --
5 001065 Duck River at Williamsport, Tenn. R 1981-92 1981-92 1981-92 1981-92 1986-93
6 475793 Duck River above Hurricane Mills, Tenn. R 1986-93 1986-93 1986-93 1986-93 1986-93
7 002395 Shoal Creek at Highway 43, R 1983-94 1983-94 1983-94 1983-94 1986-93
near Lawrenceburg, Tenn. a
9 001207 Elk River below Tims Ford Dam, Tenn. FR 1984-94 1984-94 1984-94 1984-94 1986-93
10 475796 Elk River near Prospect, Tenn. R 1986-93 1986-93 1986-93 1986-93 1986-93
11 FLCR7 Flint Creek near Falkville, Ala. R 1993-97 1993-97 1993-97 1993-97 --
12 TOWNCREEK15 Town Creek near Geraldine, Ala. R 1988-96 1988-96 1988-96 1988-96 --
13 002375 Sequatchie River at Valley Road, Tenn. a R 1983-95 1983-95 1983-95 1983-95 1986-93
14 03609750 Tennessee River at Highway 60 near FR 1980-84 1980-84 1980-84 1980-84 --
Paducah, Ky.
15 202832 Tennessee River at mile 23, Ky. b FR 1990-94 1990-94 1990-94 1990-94 --
16 03593005 Tennessee River at Pickwick Landing Dam, FR 1986-93 1986-93 1986-93 1986-93 1986-93
Tenn.
17 03571850 Tennessee River at South Pittsburg, Tenn. FR 1980-85 1980-85 1980-85 1980-85 --
18 003315 Tennessee River below Raccoon Mountain, FR 1981-94 1981-94 1981-94 1981-94 1986-93
Tenn.
19 SCARHAM- Scarham Creek near Kilpatrick, Ala. R 1988-96 1988-96 1988-96 1988-96 --
CREEK03
Total nitrite plus nitrate as N
1 PRI038 Clarks River at Almo, Ky. R 1985-95 1985-95 1985-95 1985-95 1985-94
2 03604000 Buffalo River near Flat Woods, Tenn. R 1986-93 1986-93 1986-93 1986-93 1985-94
4 001025 Duck River below Normandy Dam, Tenn. FR 1987-95 1987-95 1987-95 1987-95 --
5 001065 Duck River at Williamsport, Tenn. R 1982-93 1982-93 1982-93 1982-93 --
6 475793 Duck River above Hurricane Mills, Tenn. R 1987-93 1987-93 1987-93 1987-93 --
7 002395 Shoal Creek at Highway 43, Tenn. a R 1983-94 1983-94 1983-94 1983-94 1985-94
9 001207 Elk River below Tims Ford Dam FR 1984-94 1984-94 1984-94 1984-94 1985-94
10 475796 Elk River near Prospect, Tenn. R 1987-93 1987-93 1987-93 1987-93 --
11 FLCR7 Flint Creek near Falkville, Ala. R 1993-97 1993-97 1993-97 1993-97 --
12 TOWNCREEK15 Town Creek near Geraldine, Ala. R 1988-96 1988-96 1988-96 1988-96 --
13 002375 Sequatchie River at Valley Road, Tenn. a R 1983-95 1983-95 1983-95 1983-95 1985-94
14 03609750 Tennessee River at Highway 60 near FR 1980-84 1980-84 1980-84 1980-84 --
Paducah, Ky.
15 202832 Tennessee River at mile 23, Ky. b FR 1990-94 1990-94 1990-94 1990-94 --
16 03593005 Tennessee River at Pickwick Landing Dam, FR 1980-96 1980-96 1980-96 1980-96 1985-94
Tenn.
17 03571850 Tennessee River at South Pittsburg, Tenn. FR 1980-85 1980-85 1980-85 1980-85 --
18 003315 Tennessee River below Raccoon Mountain, FR 1981-94 1981-94 1981-94 1981-94 1985-94
Tenn.
19 SCARHAM- Scarham Creek near Kilpatrick, Ala. R 1988-96 1988-96 1988-96 1988-96 --
CREEK03
20 SOUTH- South Sauty Creek, Ala. R 1988-96 1988-96 1988-96 1988-96 --
SAUTYCK03
Total phosphorus as P
1 PRI038 Clarks River at Almo, Ky. R 1985-95 1985-95 1985-95 1985-95 1985-93
2 03604000 Buffalo River near Flat Woods, Tenn. R 1983-95 1983-95 1983-95 1983-95 1985-93
4 001025 Duck River below Normandy Dam, Tenn. FR 1987-94 1987-94 1987-94 1987-94 --
5 001065 Duck River at Williamsport, Tenn. R 1981-93 1981-93 1981-93 1981-93 1985-93
6 475793 Duck River above Hurricane Mills, Tenn. R 1988-93 1988-93 1988-93 1988-93 --
7 002395 Shoal Creek at Highway 43 near R 1983-94 1983-94 1983-94 1983-94 1985-93
Lawrenceburg, Tenn. a
9 001207 Elk River below Tims Ford Dam, Tenn. FR 1983-94 1983-94 1983-94 1983-94 1985-93
10 475796 Elk River near Prospect, Tenn. R 1986-94 1986-94 1986-94 1986-94 --
14 03609750 Tennessee River at Highway 60 near FR 1980-84 1980-84 1980-84 1980-84 --
Paducah, Ky.
15 202832 Tennessee River at mile 23, Ky. b FR 1990-94 1990-94 1990-94 1990-94 --
16 03593005 Tennessee River at Pickwick Landing Dam, FR 1980-93 1980-93 1980-93 1980-93 1985-93
Tenn.
17 03571850 Tennessee River at South Pittsburg, Tenn. FR 1980-86 1980-86 1980-86 1980-86 --
Dissolved orthophosphorus as P
2 03604000 Buffalo River near Flat Woods, Tenn. R 1984-95 1984-95 1984-95 1984-95 --
6 475793 Duck River above Hurricane Mills, Tenn. R 1986-91 1986-91 1986-91 1986-91 --
10 475796 Elk River near Prospect, Tenn. R 1987-91 1987-91 1987-91 1987-91 --
11 FLCR7 Flint Creek near Falkville, Ala. c R 1993-97 1993-97 1993-97 1993-97 --
12 TOWNCREEK15 Town Creek near Geraldine, Ala. c R 1988-96 1988-96 1988-96 1988-96 --
16 03593005 Tennessee River at Pickwick Landing Dam, FR 1983-93 1983-93 1983-93 1983-93 --
Tenn.
15 202832 Tennessee River at mile 23, Ky. b FR 1990-94 1990-94 1990-94 1990-94 --
19 SCARHAM- Scarham Creek near Kilpatrick, Ala. R 1988-96 1988-96 1988-96 1988-96 --
CREEK03
Suspended sediment
2 03604000 Buffalo River near Flat Woods, Tenn. R 1982-95 1982-95 1982-95 1982-95 --
3 03596000 Duck River below Manchester, Tenn. d R 1979-83 1979-83 1979-83 1979-83 --
8 03588500 Shoal Creek at Iron City, Tenn. d R 1979-83 1979-83 1979-83 1979-83 --
16 03593005 Tennessee River at Pickwick Landing Dam, FR 1980-93 1980-93 1980-93 1980-93 --
Tenn.
17 03571850 Tennessee River at South Pittsburg, Tenn. FR 1980-86 1980-86 1980-86 1980-86 --
_____________________________________________________________________________________________________________________________________________
a Regression results are subject to error because streamflow-measurement and water-quality-sampling sites were not colocated.
b Regression results are subject to error due to grab sampling methods at this vertically stratified site.
c Regression results are subject to error due to variable minimum reporting level and large percentage of observations below minimum reporting level.
d The calibration data set included data from 1979 in order to have sufficient length of record.
Seasonal patterns: Printable version of this figure also available as a PDF
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