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

PMC =	e ^{- 1.021 - 1.141 sin(2π D / 365) - 0.824 cos(2π D / 365) - 0.000115 Q}
	1 + e^{- 1.021 - 1.141 sin(2π D / 365) - 0.824 cos(2π D / 365) - 0.000115 Q}

where:

PMC is computed probability of microcystin >= 0.1 ug/L
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:	60
Bias correction (smearing) factor:	1

Explanatory Variables

Variable	Value	Standard error
Intercept	-1.021	0.463
sin(2π D / 365)	-1.141	0.521
cos(2π D / 365)	-0.824	0.511
Q	-0.000115	0.0000923

Correlation Matrix

A correlation matrix is not available for this model. Therefore, the prediction interval was calculated by assuming that there is no correlation between the explanatory variables.

Reference

Foster, G.M., Graham, J.L., 2016, Logistic and linear regression model documentation for statistical relations between continuous real-time and discrete water-quality constituents in the Kansas River, Kansas, July 2012 through June 2015: U.S. Geological Survey Open-File Report 2016-1040, 27 p.

Notes

Logistic Probability Microcystin