Kansas Real-Time Water Quality

Kansas Real-Time Water Quality

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USGS station:	Go to NWISWeb
Constituent:
Time period:
Model Form:

Model Form #1

TPR = 1.4965 + 0.4465 sin(2π D / 365) + 0.2793 cos(2π D / 365) - 0.2347 log₁₀(Q)

where:

TPR is computed total phosphorous, in milligrams per liter
D is day of year, in the range of integers 1 through 365
Q is computed discharge, stage-discharge rating curve, in cubic feet per second

Model Calibration

Basic Data

Number of measurements:	17
Mean squared error:	0.11269449
Multiple R²:	0.5244
Bias correction (smearing) factor:	1

Explanatory Variables

Variable	Value	Standard error
Intercept	1.4965	0.2845
sin(2π D / 365)	0.4465	0.1511
cos(2π D / 365)	0.2793	0.106
log₁₀(Q)	-0.2347	0.1138

Correlation Matrix

	Intercept	sin(2π D / 365)	cos(2π D / 365)	log₁₀(Q)
Intercept	1	0.3022	0.1063	-0.9545
sin(2π D / 365)	0.3022	1	0.1766	-0.3828
cos(2π D / 365)	0.1063	0.1766	1	-0.0722
log₁₀(Q)	-0.9545	-0.3828	-0.0722	1

Reference

Stone, M.L., and Graham, J.L., 2014, Model Documentation for Relations Between Continuous Real-Time and Discrete Water-Quality Constituents in Indian Creek, Johnson County, Kansas, June 2004 through May 2013: U.S. Geological Survey Open-File Report 2014-1170, 70 p.