*The predicted tides are obtained with the use of a harmonic analysis program (Foreman, 1977) which is executed on a year of apparently good data for a given station. The Predicted Tide Method for filling gaps consists of statistically comparing the predicted tides to the observed data and shifting the predicted tides in time to correct for timing differences. Then the linear interpolation between hourly values at the end points of the gap in the residual series is added to the corresponding corrected predicted tide data to obtain interpolated values over the span of the gap.
Bloomfield, P., 1976. Fourier Analysis of Time Series: An Introduction. New York: John Wiley and Sons. pp 129-137.
Foreman, M., 1977. Manual For Tidal Height Analysis and Prediction. Institute of Ocean Sciences, Patricia Bay, Victoria B.C. Pacific Marine Science Report 77-10.