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References

  • Beran, J., Statistics for Long-Memory Processes, Chapman and Hall, New York, 1994.
  • Brillinger, D. R., Time Series: Data Analysis and Theory, Soc. for Indust. and Appl. Math., Philadelphia, Pa., 2001.
  • Cosh, M. H., and W. Brutsaert, Aspects of soil moisture variability in the Washita '92 study region, J. Geophys. Res., 104(D16), 19,75119,757, 1999.
  • Crow, W. T., and E. F. Wood, The assimilation of remotely sensed soil brightness temperature imagery into a land-surface model using ensemble Kalman filtering: A case study based on ESTAR measurements during SGP97, Adv. Water Resour., 26, 137149, 2003.
  • Crow, W. T., E. F. Wood, and R. Dubayah, Potential for downscaling soil moisture maps derived from spaceborne imaging radar data, J. Geophys. Res., 105(D2), 22032212, 2000.
  • Famiglietti, J. S., J. A. Devereaux, C. A. Laymon, T. Tsegaye, P. R. Houser, T. J. Jackson, S. T. Graham, M. Rodell, and P. J. van Oevelen, Ground-based investigation of soil moisture variability within remote sensing footprints during the Southern Great Plains 1997 (SGP97) hydrology experiment, Water Resour. Res., 35(6), 18391851, 1999.
  • Granger, C. W., and R. Joyeux, An introduction to long-memory time series models and fractional differencing, J. Time Ser. Anal., 1, 1529, 1980.
  • Hosking, J. R. M., Fractional differencing, Biometrika, 68(1), 165176, 1981.
  • Hu, Z., S. Islam, and Y. Cheng, Statistical characterization of remotely sensed soil moisture images, Remote Sens. Environ., 61, 310318, 1997.
  • Hu, Z., Y. Cheng, and S. Islam, Multiscaling properties of soil moisture images and decomposition of large- and small-scale features using wavelet transforms, Int. J. Remote Sens., 19(13), 24512467, 1998.
  • Hurst, H. E., Long-term storage capacity of reservoirs, Trans. Am. Soc. Civ. Eng., 116, 770799, 1951.
  • Jackson, T. J., D. M. Le Vine, C. T. Swift, T. J. Schmugge, and F. R. Schiebe, Large area mapping of soil moisture using the ESTAR passive microwave radiometer in Washita '92, Remote Sens. Environ., 53, 2737, 1995.
  • Jackson, T. J., D. M. Le Vine, A. Y. Hsu, A. Oldak, P. J. Starks, C. T. Swift, J. D. Isham, and M. Haken, Soil moisture mapping at regional scales using microwave radiometry: The Southern Great Plains hydrology experiment, IEEE Trans. Geosci. Remote Sens., 37(5), 21362151, 1999.
  • Kokoszka, P. S., and M. S. Taqqu, Fractional ARIMA with stable innovations, Stochastic Processes Their Appl., 60, 1947, 1995.
  • Kokoszka, P. S., and M. S. Taqqu, Infinite variance stable moving averages with long memory, J. Econometrics, 73, 7999, 1996a.
  • Kokoszka, P. S., and M. S. Taqqu, Parameter estimation for infinite variance fractional ARIMA, Ann. Stat., 24(5), 18801913, 1996b.
  • Kokoszka, P. S., and M. S. Taqqu, Discrete time parametric models with long memory and infinite variance, Math. Comput. Model., 29, 203215, 1999.
  • Mandelbrot, B. B., The Fractal Geometry of Nature, W. H. Freeman, New York, 2000.
  • Mandelbrot, B. B., and J. W. Van Ness, Fractional Brownian motions, fractional noises and applications, SIAM Rev., 10, 422437, 1968.
  • Mandelbrot, B. B., and J. R. Wallis, Noah, Joseph, and operational hydrology, Water Resour. Res., 4(5), 909918, 1968.
  • Montanari, A., R. Rosso, and M. S. Taqqu, Fractionally differenced ARIMA models applied to hydrologic time series: Identification, estimation, and simulation, Water Resour. Res., 33(5), 10351044, 1997.
  • Oldak, A., Y. Pachepsky, T. J. Jackson, and W. J. Rawls, Statistical properties of soil moisture images revisited, J. Hydrol., 255, 1224, 2002.
  • Parada, L. M., and X. Liang, Assimilation of near-surface soil moisture into the three layer variable infiltration capacity land-surface model, paper presented at 17th Conference on Hydrology, 83rd American Meteorological Society Annual Meeting, Am. Meteorol. Soc., Long Beach, Calif., 9 – 13 Feb. 2003a.
  • Parada, L. M., and X. Liang, A downscaling framework for L band radiobrightness temperature imagery, J. Geophys. Res., 108(D22), 8863, doi:10.1029/2003JD003637, in press, 2003b.
  • Percival, D. B., and A. T. Walden, Wavelet Methods for Time Series Analysis, Cambridge Univ. Press, New York, 2000.
  • Peters-Lidard, C. D., F. Pan, and E. F. Wood, A re-examination of modeled and measured soil moisture spatial variability and its implications for land surface modeling, Adv. Water Resour., 24, 10691083, 2001.
  • Reichle, R. H., D. B. McLaughlin, and D. Entekhabi, Hydrologic data assimilation with the ensemble Kalman filter, Mon. Weather Rev., 130, 103130, 2002.
  • Rodriguez-Iturbe, I., G. K. Vogel, R. Rigon, D. Entekhabi, F. Castelli, and A. Rinaldo, On the spatial organization of soil moisture fields, Geophys. Res. Lett., 22(20), 27572760, 1995.
  • Shumway, R. H., and D. S. Stoffer, Time Series Analysis and its Applications, Springer-Verlag, New York, 2001.
  • Taqqu, M. S., Random processes with long-range dependence and high variability, J. Geophys. Res., 92, 96839686, 1987.
  • Taqqu, M. S., V. Teverovsky, and W. Willinger, Estimators for long-range dependence: An empirical study, Fractals, 3(4), 785798, 1995.
  • Vinnikov, K. Y., A. Robock, N. A. Speranskaya, and C. A. Schlosser, Scales of temporal and spatial variability of midlatitude soil moisture, J. Geophys. Res., 101(D3), 71637174, 1996.
  • Walker, J. P., and P. R. Houser, A methodology for initializing soil moisture in a global climate model: Assimilation of near-surface soil moisture observations, J. Geophys. Res., 106(D11), 11,76111,774, 2001.
  • Whittle, P., Estimation and information in stationary time series, Ark. Mat., 2, 423434, 1953.
  • Wornell, G. W., Wavelet-based representation for the 1/f family of fractal processes, Proc. IEEE, 81(10), 14281450, 1993.