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Evan J. Coopersmith, Michael H. Cosh, Walt A. Petersen, John Prueger, and James J. Niemeier

generating a β series with increasing values of n until the values of those β series converge. The values of η i form a time series describing losses due to deep drainage, surface runoff, and evapotranspiration, a sinusoid with an annual period. The full diagnostic soil moisture equation [Eq. (1) ], including the β series [Eq. (2) ], requires the calibration of six parameters. The first three define the sinusoidal shape of the η series. As η is defined as a sinusoid with a period of 1

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