Scientific Investigations Report 2006-5188
U.S. GEOLOGICAL SURVEY
Scientific Investigations Report 2006-5188
Table 2. Regression coefficients and coefficients of determination (R2) used to estimate dissolved and total cadmium, lead, and zinc loads at 10 streamflow-gaging stations in the Spokane River basin, Idaho and Washington, water years 1999–2004.
[Gaging station locations are shown in figures 1 and 2. Regression equation is ln(L) = a + b(ln Q) + c(ln Q2) + d[sin(2•T)] + e[cos(2•T)] + fT + gT2, where L is constituent load; Q is streamflow; T is time in decimal years from beginning of calibration period; a, b, c, d, e, f, and g are regression coefficients. Symbols: –, explanatory variable not used in regression; <, less than]
| Gaging station No. | Gaging station name | Regression coefficient | R2 (percent) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| a | b | c | d | e | f | p-value of f |
g | p-value of g |
|||
| Dissolved cadmium (DCd) | |||||||||||
| 1 | Canyon Creek | 0.6008 | 0.6817 | -0.0712 | -0.1205 | 0.3826 | -0.0688 | 0.028 | – | – | 87.1 |
| 2 | Ninemile Creek | -.5595 | .7737 | – | -.1230 | .2380 | -.0759 | .009 | – | – | 92.6 |
| 3 | Elizabeth Park | 1.0269 | .5743 | -.0637 | .0154 | .0336 | -.0569 | <.001 | 0.0236 | 0.0080 | 96.8 |
| 4 | Amy Gulch | -2.3365 | .9049 | – | .0337 | .1811 | – | – | – | – | 98.3 |
| 5 | Pinehurst | 1.9199 | .5719 | -.0785 | .0344 | -.2288 | -.0655 | <.001 | – | – | 94.2 |
| 6 | Enaville | -2.3963 | 1.0208 | – | – | – | – | – | – | – | 93.8 |
| 7 | Harrison | 1.8232 | .8408 | -.1047 | -.2305 | -.0058 | -.0649 | .031 | .0496 | .0308 | 96.3 |
| 8 | Outlet | .2334 | 1.1621 | – | – | – | -.1219 | .136 | – | – | 98.3 |
| 9 | Post Falls | .5099 | 1.1001 | -.0375 | .1454 | .2112 | – | – | – | – | 97.9 |
| 10 | Long Lake | .1045 | 1.6900 | – | .4741 | .6026 | -.2017 | .023 | – | – | 84.5 |
| Total cadmium (TCd) | |||||||||||
| 1 | Canyon Creek | 0.5374 | 0.7350 | – | -0.1634 | 0.3522 | -0.0707 | 0.045 | – | – | 86.9 |
| 2 | Ninemile Creek | -.4732 | .8761 | – | -.2349 | .1934 | -.0521 | .107 | – | – | 92.6 |
| 3 | Elizabeth Park | 1.0808 | .7157 | -.0380 | .0015 | .1456 | -.0627 | .0018 | 0.0240 | 0.0410 | 95.5 |
| 4 | Amy Gulch | -2.3283 | 1.0044 | .0138 | -.0965 | .1151 | .1977 | <.001 | -.1089 | .002 | 97.6 |
| 5 | Pinehurst | 1.9876 | .8189 | – | .2659 | -.1850 | – | – | – | – | 74.3 |
| 6 | Enaville | -2.7061 | 1.2194 | .1678 | – | – | – | – | – | – | 95.4 |
| 7 | Harrison | 2.0707 | 1.0881 | – | -.3835 | .0169 | – | – | – | – | 91.8 |
| 8 | Outlet | .0350 | 1.1977 | – | – | – | -.1230 | .040 | – | – | 99.2 |
| 9 | Post Falls | .7253 | 1.1318 | – | .1774 | .1474 | -.0542 | .052 | – | – | 97.7 |
| 10 | Long Lake | .2041 | 1.0004 | – | .1834 | .9167 | -.0511 | .131 | – | – | 95.6 |
| Dissolved lead (DPb) | |||||||||||
| 1 | Canyon Creek | 0.9883 | 0.9365 | – | – | – | -0.1679 | <0.001 | – | – | 96.3 |
| 2 | Ninemile Creek | .0933 | .9595 | -0.095 | – | – | -.1014 | <.001 | – | – | 97.8 |
| 3 | Elizabeth Park | .5524 | .6525 | – | -0.0734 | -0.3841 | -.0925 | – | – | – | 95.9 |
| 4 | Amy Gulch | -2.3582 | 1.2459 | .0747 | – | – | – | – | – | – | 95.5 |
| 5 | Pinehurst | 1.4363 | .7143 | .0519 | -.2162 | .2869 | -.0999 | <.001 | – | – | 93.7 |
| 6 | Enaville | -1.3537 | 1.1351 | – | – | – | .1263 | – | – | – | 86.3 |
| 7 | Harrison | 3.2026 | 1.2784 | – | – | – | – | – | – | – | 88.0 |
| 8 | Outlet | .1119 | 1.1162 | – | -.4152 | -.2898 | -.4273 | .060 | – | – | 92.0 |
| 9 | Post Falls | .5045 | 1.3779 | .1794 | – | – | .2774 | .009 | – | – | 84.7 |
| 10 | Long Lake | .9372 | 2.2135 | – | – | – | -.1964 | .054 | – | – | 75.7 |
| Total lead (TPb) | |||||||||||
| 1 | Canyon Creek | 1.6834 | 1.567 | 0.3162 | – | – | -0.2964 | <0.001 | – | – | 93.2 |
| 2 | Ninemile Creek | .7112 | 1.5924 | .2343 | – | – | -.1343 | .001 | – | – | 96.8 |
| 3 | Elizabeth Park | 1.6364 | 1.7137 | .3457 | – | – | – | – | – | – | 88.7 |
| 4 | Amy Gulch | -2.3381 | 1.8454 | .4037 | – | – | – | – | – | – | 93.6 |
| 5 | Pinehurst | 3.1628 | 1.8606 | .4051 | 0.5561 | -0.0612 | -.1068 | .0317 | – | – | 90.0 |
| 6 | Enaville | -.4893 | 1.9066 | .3115 | – | – | – | – | – | – | 91.7 |
| 7 | Harrison | 4.4844 | 1.5341 | .3381 | – | – | – | – | – | – | 91.6 |
| 8 | Outlet | 1.9154 | 1.1945 | – | – | – | – | – | – | – | 89.5 |
| 9 | Post Falls | 2.2820 | 1.4423 | .1874 | .2101 | -.4583 | – | – | – | – | 95.1 |
| 10 | Long Lake | 2.4961 | 2.2704 | – | – | – | – | – | – | – | 92.7 |
| Dissolved zinc (DZn) | |||||||||||
| 1 | Canyon Creek | 5.7756 | 0.7615 | -0.1145 | -0.0403 | 0.5307 | -0.0364 | 0.264 | -0.057 | 0.069 | 86.3 |
| 2 | Ninemile Creek | 4.5379 | .82 | – | -.2289 | .3347 | -.0859 | .021 | – | – | 88.9 |
| 3 | Elizabeth Park | 6.0871 | .6176 | -.0896 | .0677 | .0472 | -.0595 | <.001 | .0227 | .0230 | 96.5 |
| 4 | Amy Gulch | 3.3121 | .868 | – | -.0204 | .3607 | – | – | – | – | 97.2 |
| 5 | Pinehurst | 6.8909 | .5413 | -.0431 | .0484 | -.1875 | -.0652 | <.001 | – | – | 94.8 |
| 6 | Enaville | 2.9204 | 1.2150 | -.0919 | – | – | – | – | – | – | 93.6 |
| 7 | Harrison | 7.0699 | .7142 | -.0750 | -.1846 | .1819 | -.0644 | .004 | – | – | 97.0 |
| 8 | Outlet | 5.6784 | 1.0963 | – | .2530 | -.1315 | – | – | – | – | 99.5 |
| 9 | Post Falls | 6.2192 | 1.0794 | – | .0487 | .3295 | -.0544 | <.001 | – | – | 99.5 |
| 10 | Long Lake | 5.7269 | 1.1329 | – | -.007 | .9901 | -.076 | .010 | – | – | 97.3 |
| Total zinc (TZn) | |||||||||||
| 1 | Canyon Creek | 5.4991 | 0.7975 | – | -0.2311 | 0.4613 | – | – | – | – | 86.3 |
| 2 | Ninemile Creek | 4.5792 | .9167 | – | -.3632 | .2502 | -0.0663 | 0.098 | – | – | 89.7 |
| 3 | Elizabeth Park | 6.0733 | .7258 | -.0409 | .0644 | .1397 | -.0523 | .00918 | 0.0202 | 0.0901 | 95.6 |
| 4 | Amy Gulch | 3.4019 | .961 | – | -.1631 | .2743 | – | – | – | – | 96.5 |
| 5 | Pinehurst | 6.8546 | .6726 | .0597 | .1023 | -.2355 | -.0505 | .078 | – | – | 80.7 |
| 6 | Enaville | 2.9576 | 1.4643 | – | – | – | – | – | – | – | 93.5 |
| 7 | Harrison | 7.0231 | .9963 | .0466 | -.4025 | .0801 | – | – | – | – | 93.1 |
| 8 | Outlet | 5.7451 | 1.0763 | – | .1994 | -.1721 | -.1200 | .013 | – | – | 99.6 |
| 9 | Post Falls | 6.2629 | 1.1028 | – | .0365 | .2954 | -.0232 | .102 | – | – | 99.1 |
| 10 | Long Lake | 6.2721 | 1.4376 | -.2892 | -.0054 | .8105 | -.0724 | .028 | -.073 | .012 | 97.7 |
U.S.
Department of the Interior | U.S. Geological
Survey
Persistent URL: https://pubs.water.usgs.gov/sir20065188
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