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Wisconsin Real-Time Water Quality


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Wisconsin Regression Models, by Publication Source

Baldwin, A.K., Graczyk, D.J., Robertson, D.M., Saad, D.A., and Magruder, Christopher, 2012, Use of real-time monitoring to predict concentrations of select constituents in the Menomonee River drainage basin, Southeast Wisconsin, 2008–9: U.S. Geological Survey Scientific Investigations Report 2012–5064, 18 p., plus six appendixes.

Station Constituent Model Form n R2 BCF Standard Errors of Coefficeints Correlation Matrix Lower-Left
04087050 Chloride log10(Cl) = - 4.16 + 1.99 log10(SC) + 0.1511 log10(TURB) 39 0.74 1.02 0.662, 0.218, 0.037 -0.998, -0.831, 0.802
04087050 Total phosphorus log10(TP) = - 1.37 + 0.486 log10(TURB) 39 0.75 1.13 0.074, 0.045 -0.908
04087050 Fecal coliform bacteria log10(FCB) = 1.49 + 0.035 TEMP + 0.777 log10(TURB) 32 0.58 1.79 0.231, 0.014, 0.13 -0.348, -0.808, -0.114
04087050 E. coli log10(ECB) = 1.81 + 0.025 TEMP + 0.693 log10(TURB) 37 0.58 2.05 0.182, 0.012, 0.106 -0.296, -0.821, -0.125
04087050 Total suspended solids log10(TSS) = 0.334 + 0.91 log10(TURB) 39 0.94 1.08 0.063, 0.038 -0.908
04087120 Chloride log10(Cl) = - 1.41 + 1.23 log10(SC) 101 0.92 1.03 0.111, 0.036 -0.995
04087120 Total phosphorus log10(TP) = - 1.42 + 0.431 log10(TURB) 91 0.55 1.12 0.068, 0.041 -0.95
04087120 Fecal coliform bacteria log10(FCB) = 1.38 + 0.078 TEMP + 0.79 log10(TURB) 68 0.74 1.7 0.203, 0.007, 0.114 -0.277, -0.861, -0.155
04087120 E. coli log10(ECB) = 1.28 + 0.063 TEMP + 0.884 log10(TURB) 81 0.66 2.18 0.191, 0.007, 0.109 -0.303, -0.878, -0.071
04087120 Total suspended solids log10(TSS) = 0.567 + 0.779 log10(TURB) 95 0.77 1.15 0.074, 0.044 -0.951

Baldwin, A.K., Robertson, D.M., Saad, D.A., and Magruder, Christopher, 2013, Refinement of regression models to estimate real-time concentrations of contaminants in the Menomonee River drainage basin, southeast Wisconsin, 2008–11: U.S. Geological Survey Scientific Investigations Report 2013-5174, 113 p., seven appendixes

Station Constituent Model Form n R2 BCF Standard Errors of Coefficeints Correlation Matrix Lower-Left
04087030 Chloride log10(Cl) = - 1.84 + 1.35 log10(SC) 150 0.94 1.02 0.08, 0.03 -0.997
04087030 Total phosphorus log10(TP) = - 1.65 + 0.56 log10(TURB) 148 0.77 1.1 0.56, 0.02 -0.931
04087030 Fecal coliform bacteria log10(FCB) = 1.3 + 0.06 TEMP + 0.76 log10(TURB) 118 0.71 2.03 0.13, 0.01, 0.09 -0.173, -0.698, 0.504
04087030 E. coli log10(ECB) = 1.38 + 0.05 TEMP + 0.71 log10(TURB) 132 0.62 2.13 0.13, 0.01, 0.09 -0.162, -0.714, -0.493
04087030 Total suspended solids log10(TSS) = 0.13 + 1.04 log10(TURB) 148 0.91 1.11 0.04, 0.03 -0.931
04087050 Chloride log10(Cl) = - 3.92 + 1.91 log10(SC) + 0.12 log10(TURB) 116 0.79 1.03 0.34, 0.11, 0.02 -0.998, -0.797, 0.757
04087050 Total phosphorus log10(TP) = - 1.51 + 0.57 log10(TURB) 116 0.82 1.1 0.04, 0.02 -0.918
04087050 Fecal coliform bacteria log10(FCB) = 1.51 + 0.05 TEMP + 0.83 log10(TURB) 95 0.68 2.13 0.14, 0.01, 0.09 -0.244, -0.75, -0.339
04087050 E. coli log10(ECB) = 1.81 + 0.04 TEMP + 0.71 log10(TURB) 102 0.65 1.95 0.12, 0.01, 0.08 -0.231, -0.765, -0.324
04087050 Total suspended solids log10(TSS) = 0.27 + 0.96 log10(TURB) 116 0.9 1.11 0.05, 0.03 -0.918
04087088 Chloride log10(Cl) = - 1.49 + 1.25 log10(SC) 187 0.86 1.05 0.11, 0.04 -0.995
04087088 Total phosphorus log10(TP) = - 1.56 + 0.53 log10(TURB) 186 0.53 1.37 0.06, 0.04 -0.948
04087088 Fecal coliform bacteria log10(FCB) = 2.19 + 0.04 TEMP + 0.76 log10(TURB) 149 0.54 2.29 0.15, 0.01, 0.08 -0.378, -0.712, -0.314
04087088 E. coli log10(ECB) = 2.34 + 0.03 TEMP + 0.66 log10(TURB) 157 0.45 2.33 0.14, 0.01, 0.08 -0.37, -0.727, -0.299
04087088 Total suspended solids log10(TSS) = 0.41 + 0.91 log10(TURB) 184 0.71 1.29 0.07, 0.04 -0.948
04087119 Chloride log10(Cl) = - 1.34 + 1.22 log10(SC) 233 0.91 1.11 0.07, 0.03 -0.986
04087119 Total phosphorus log10(TP) = - 1.5 + 0.48 log10(TURB) 221 0.7 1.1 0.04, 0.02 -0.95
04087119 Fecal coliform bacteria log10(FCB) = 1.89 + 0.08 TEMP + 0.53 log10(TURB) 188 0.68 2.01 0.12, 0.005, 0.06 -0.336, -0.777, -0.252
04087119 E. coli log10(ECB) = 1.97 + 0.06 TEMP + 0.56 log10(TURB) 185 0.61 2.11 0.12, 0.01, 0.06 -0.336, -0.781, -0.244
04087119 Total suspended solids log10(TSS) = 0.16 + 0.967 log10(TURB) 66 0.86 1.16 0.085, 0.047 -0.934
04087119 Total suspended solids log10(TSS) = 0.03 + 1.05 log10(TURB) 221 0.83 1.2 0.06, 0.03 -0.95
04087120 Chloride log10(Cl) = - 1.48 + 1.25 log10(SC) 220 0.92 1.04 0.07, 0.03 -0.994
04087120 Total phosphorus log10(TP) = - 1.56 + 0.49 log10(TURB) 198 0.62 1.1 0.05, 0.03 -0.957
04087120 Fecal coliform bacteria log10(FCB) = 1.57 + 0.07 TEMP + 0.74 log10(TURB) 145 0.61 2.08 0.18, 0.01, 0.11 -0.13, -0.827, -0.382
04087120 E. coli log10(ECB) = 1.6 + 0.05 TEMP + 0.76 log10(TURB) 165 0.61 2.27 0.14, 0.01, 0.09 -0.133, -0.841, -0.342
04087120 Total suspended solids log10(TSS) = 0.3 + 0.92 log10(TURB) 202 0.77 1.17 0.06, 0.04 -0.958
04087142 Chloride log10(Cl) = - 1.58 + 1.28 log10(SC) 190 0.97 1.01 0.05, 0.02 -0.994
04087142 Chloride log10(Cl) = - 1.5 + 1.26 log10(SC) 79 0.97 1.01 0.078, 0.026 -0.994
04087142 Total phosphorus log10(TP) = - 1.51 + 0.462 log10(TURB) 77 0.61 1.11 0.067, 0.042 -0.946
04087142 Total phosphorus log10(TP) = - 1.55 + 0.47 log10(TURB) 187 0.64 1.1 0.04, 0.03 -0.951
04087142 Fecal coliform bacteria log10(FCB) = 1.29 + 0.06 TEMP + 0.98 log10(TURB) 144 0.63 2.52 0.16, 0.01, 0.09 -0.392, -0.798, -0.155
04087142 Fecal coliform bacteria log10(FCB) = 1.07 + 0.062 TEMP + 1 log10(TURB) 56 0.54 2.6 0.296, 0.011, 0.159 -0.522, -0.852, 0.108
04087142 E. coli log10(ECB) = 1.44 + 0.05 TEMP + 0.89 log10(TURB) 171 0.6 2.31 0.13, 0.005, 0.08 -0.392, -0.835, 0.084
04087142 E. coli log10(ECB) = 1.29 + 0.059 TEMP + 0.886 log10(TURB) 76 0.54 2.34 0.222, 0.008, 0.122 -0.513, -0.895, 0.191
04087142 Total suspended solids log10(TSS) = 0.1 + 0.97 log10(TURB) 189 0.82 1.17 0.05, 0.03 -0.951
04087142 Total suspended solids log10(TSS) = 0.108 + 0.974 log10(TURB) 79 0.85 1.12 0.078, 0.046 -0.946