Statistical Properties of Dune Profiles

......................................................................... Fl Data and analysis Continued Introduction..................................................................... 1 Stationarity and equilibrium flow............................. F18 Background............................................................... 1 The Markov model for dune profiles......................... 20 Purpose and scope...................................................... 3 Dimensionless spectra........................................... 21 Acknowledgments....................................................... 3 Other properties of the spectra................................ 27 Some properties of a Gaussian process................................. 4 Cross correlation and cross-spectral analysis.............. 32 Zero and hlevel crossings............................................ 4 Prediction................................................................. 35 Wave heights and amplitudes........................................ 5 Summary and conclusions.................................................. 37 Theory of time series analysis....................................... 6 Discussion of results.................................................... 37 Data and analysis.............................................................. 8 Conclusions............................................................... 38 Basic data................................................................. 8 Recommendations for future studies............................... 39 Zero and Wevel crossing analyses.................................. 10 References...................................................................... 39 Distribution of wave heights and amplitudes.................... 15 Planning of data requirements............................................. 40 Spectral analysis......................................................... 18