Altese, E., Bolognani, O., Mancini, M., and Troch, P. A.: Retrieving soil moisture over bare soil from ERS-1 synthetic aperture radar data: Sensitivity analysis based on a theoretical surface scattering model and field data, Water Resour. Res., 32, 653-661, 1996.
Álvarez-Mozos, J., Casali, J., Gonzalez-Audicana, M., and Verhoest, N. E. C.: Correlation between ground measured soil moisture and RADARSAT-1 derived backscattering coefficient over an agricultural catchment of Navarre (north of Spain), Biosys. Eng., 92, 119-133, 2005. (Pubitemid 41161153)
Álvarez-Mozos, J., Casali, J., Gonzalez-Audicana, M., and Verhoest, N. E. C.: Assessment of the operational applicability of RADARSAT-1 data for surface soil moisture estimation, IEEE T. Geosci. Remote Sens., 913-924, 2006.
Álvarez-Mozos, J., Verhoest, N. E. C., Larrañaga, A., Casalí, J., and González-Audícana, M.: Influence of surface roughness spatial variability and temporal dynamics on the retrieval of soil moisture from SAR observations, Sensors, 9, 463-489, doi:10.3390/s90100463, 2009.
Baudrit, C., Dubois, D., and Guyonnet, D.: Joint propagation and exploitation of probabilistic and possibilistic information in risk assessment, IEEE T. Fuzzy Syst., 14, 593-608, 2006. (Pubitemid 44604876)
Baudrit, C., Guyonnet, D., and Dubois, D.: Joint propagation of variability and imprecision in assessing the risk of groundwater contamination, J. Contam. Hydrol., 93, 72-84, 2007. (Pubitemid 47088019)
Beven, K. J. and Kirkby, M. J.: A physically based, variable contributing area model of basin hydrology, Hydrological Sciences Bulletin, 24, 43-69, 1979. (Pubitemid 9451768)
Brent, R.: Algorithms for Minimization without Derivatives, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.
Brocca, L., Melone, F., Moramarco, T., and Singh, V. P.: Assimilation of observed soil moisture data in storm rainfall-runoff modeling, J. Hydrol. Eng., 14, 153-165, 2009.
Callens, M., Verhoest, N. E. C., and Davidson, M. W. J.: Parameterization of tillage induced single scale soil roughness from 4-m profiles, IEEE T. Geosci. Remote Sens., 44, 878-888, 2006.
Crow, W. T. and Ryu, D.: A new data assimilation approach for improving runoff prediction using remotely-sensed soil moisture retrievals, Hydrol. Earth Syst. Sci., 13, 1-16, doi:10.5194/hess- 13-1-2009, 2009.
Davidson, M.W. J., Le Toan, T., Mattia, F., Satalino, G., Manninen, T., and Borgeaud, M.: On the characterization of agricultural soil roughness for radar remote sensing studies, IEEE T. Geosci. Remote Sens., 38, 630-640, 2000. (Pubitemid 30594765)
De Baets, B. and De Meyer, H.: Transitivity-preserving fuzzification schemes for cardinality-based similarity measures, Eur. J. Oper. Res., 160, 726-740, 2005.
De Baets, B., Janssens, S., and De Meyer, H.: On the transitivity of a parametric family of cardinality-based similarity measures, Int. J. Approx. Reason., 50, 104-116, 2009.
De Lannoy, G. J. M., Houser, P. R., Pauwels, V. R. N., and Verhoest, N. E. C.: State and bias estimation for soil moisture profiles by an Ensemble Kalman filter, Water Resour. Res., 43, W06401, doi:10.1029/2006WR005100, 2007a. (Pubitemid 47124424)
De Lannoy, G. J. M., Reichle, R. H., Houser, P. R., Pauwels, V. R. N., and Verhoest, N. E. C.: Correcting for forecast bias in soil moisture assimilation with the Ensemble Kalman filter, Water Resour. Res., 43, W09410, doi:10.1029/2006WR005449, 2007b. (Pubitemid 350058445)
Dobson, M. C., Ulaby, F. T., Hallikainen, M. T., and El-Rayes, M. A.: Microwave dielectric behavior of wet soil, part II: Dielectric mixing models, IEEE T. Geosci. Remote Sens., 23, 35-46, 1985.
Famiglietti, J. S. and Wood, E. F.: Multiscale modeling of spatially variable water and energy balance processes,Water Resour. Res., 30, 3061-3078, 1994. (Pubitemid 293013)
Famiglietti, J., Ryu, D., Berg, A. A., Rodell, M., and Jackson, T. J.: Field observations of soil moisture variability across scales, Water Resour. Res., 44, W01423, doi:10.1029/2006WR005804, 2008. (Pubitemid 351304148)
Forsythe, G. E., Malcolm, M. A., and Moler, C. B.: Computer Methods for Mathematical Computations, Prentice-Hall, Englewood Cliffs, New Jersey, 1976.
Fung, A. K.: Microwave Scattering and Emission Models and their Applications, Artech House, Norwood, MA, 1994.
Gibbs, A. L. and Su, F. E.: On choosing and bounding probability metrics, Int. Stat. Rev., 70, 419-435, 2002.
Guyonnet, D., Bourgine, B., Dubois, D., Fargier, H., Côme, B., and Chilès, J. P.: Hybrid approach for addressing uncertainty in risk assessments, J. Environ. Eng., 129, 68-78, doi:10.1061/(ASCE)0733-9372(2003)129: 1(68), 2003. (Pubitemid 36101406)
Hoeben, R. and Troch, P. A.: Assimilation of active microwave observation data for soil moisture profile estimation, Water Resour. Res., 36, 2805-2819, 2000.
Hupet, F. and Vanclooster, M.: Intraseasonal dynamics of soil moisture variability within a small agricultural maize cropped field, J. Hydrol., 261, 86-101, 2002. (Pubitemid 34290127)
Ivanov, V. Y., Fatichi, S., Jenerette, G. D., Espeleta, J. F., Troch, P. A., and Huxman, T. E.: Hysteresis of soil moisture spatial heterogeneity and the "homogenizing" effect of vegetation, Water Resour. Res., 46, W09521, doi:10.1029/2009WR008611, 2010.
Krishnapuram, R. and Keller, J. M.: A possibilistic approach to clustering, IEEE T. Fuzzy Syst., 1, 98-110, 1993.
Kruskal, W. H. and Wallis, W. A.: Use of ranks in one-criterion analysis of variance, J. Am. Stat. Assoc., 47, 583-621, 1952.
Lievens, H., Vernieuwe, H., Álvarez-Mozos, J., De Baets, B., and Verhoest, N. E. C.: Error in radar-derived soil moisture due to roughness parameterization: an analysis based on synthetical surface profiles, Sensors, 9, 1067-1093, doi:10.3390/s90201067, 2009.
Mallants, D., Jacques, D., Vanclooster, M., Diels, J., and Feyen, J.: A stochastic approach to simulate water flow in macroporous soil, Geoderma, 70, 299-324, 1996. (Pubitemid 126652072)
Mancini, M., Hoeben, R., and Troch, P. A.: Multifrequency radar observations of bare surface soil moisture content: A laboratory experiment, Water Resour. Res., 35, 1827-1838, 1999. (Pubitemid 29243297)
Mattia, F., Davidson, M.W. J., Le Toan, T., D'Haese, C. M. F., Verhoest, N. E. C., Gatti, A. M., and Borgeaud, M.: A comparison between soil roughness statistics used in surface scattering models derived from mechanical and laser profilers, IEEE T. Geosci. Remote Sens., 41, 1659-1671, 2003.
Merlin, O., Chechbouni, A., Boulet, G., and Kerr, Y.: Assimilation of disaggregated microwave soil moisture into a hydrologic model using coarse-scale meteorological data, J. Hydrometeorol., 7, 1308-1322, 2006. (Pubitemid 46111238)
Minet, J., Laloy, E., Lambot, S., and Vanclooster, M.: Effect of high-resolution spatial soil moisture variability on simulated runoff response using a distributed hydrologic model, Hydrol. Earth Syst. Sci., 15, 1323-1338, doi:10.5194/hess-15-1323- 2011, 2011a.
Minet, J., Wahyudi, A., Bogaert, P., Vanclooster, M., and Lambot, S.: Mapping shallow soil moisture profiles at the field scale using full-waveform inversion of ground penetrating radar data, Geoderma, 161, 225-237, 2011b.
Nguyen, H. T.: A note on the extension principle for fuzzy sets, J. Math. Anal. Appl., 64, 369-380, 1978.
Nyberg, L.: Spatial variability of soil water content in the covered catchment at Gårdsjön, Sweden, Hydrol. Process., 10, 80-103, 1996.
Oh, Y. and Kay, Y. C.: Condition for precise measurement of soil surface roughness, IEEE T. Geosci. Remote Sens., 36, 691-695, 1998.
Pauwels, V. R. N., Hoeben, R., Verhoest, N. E. C., and De Troch, F. P.: The importance of the spatial patterns of remotely sensed soil moisture in the improvement of discharge predictions for small-scale basins through data assimilation, J. Hydrol., 251, 88-102, 2001. (Pubitemid 32731524)
Penna, D., Borga, M., Norbiato, D., and Fontana, G.: Hillslope scale soil moisture variability in a steep alpine terrain, J. Hydrol., 364, 311-327, 2009.
Ryu, D. and Famiglietti, J. S.: Characterization of footprintscale surface soil moisture variability using Gaussian and beta distribution functions during the Southern Great Plains 1997 (SGP97) hydrology experiment, Water Resour. Res., 41, W12433, doi:10.1029/2004WR003835, 2005. (Pubitemid 43153738)
Salvucci, G.: Limiting relations between soil moisture and soil texture with implication for measured, modeled and remotely sensed estimates, Geophys. Res. Lett., 25, 1757-1760, 1998. (Pubitemid 28429835)
Teuling, A. J. and Troch, P. A.: Improved understanding of soil moisture variability dynamics, Geophys. Res. Lett., 32, L05404, doi:10.1029/2004GL021935, 2005. (Pubitemid 40815090)
Teuling, A. J., Hupet, F., Uilenhoet, R., and Troch, P. A.: Climate variability effects on spatial soil moisture dynamics, Geophys. Res. Lett., 34, l06406, doi:10.1029/2006GL029080, 2007. (Pubitemid 46865309)
Vereecken, H., Kamai, T., Harter, T., Kasteel, R., Hopmans, J., and Vanderborgth, J.: Explaining soil moisture variability as a function of mean soil moisture: A stochastic un- saturated flow perspective, Geophys. Res. Lett., 34, l22402, doi:10.1029/2007Gl031813, 2007. (Pubitemid 351222802)
Verhoest, N. E. C., De Baets, B., Mattia, F., Satalino, G., Lucau, C., and Defourny, P.: A possibilistic approach to soil moisture retrieval from ERS synthetic aperture radar backscattering under soil roughness uncertainty, Water Resour. Res., 43, W07435, doi:10.1029/2006WR005295, 2007. (Pubitemid 350194487)
Verhoest, N. E. C., Lievens, H., Wagner, W., Álvarez-Mozos, J., Moran, M. S., and Mattia, F.: On the soil roughness parameterization problem in soil moisture retrieval of bare surfaces from synthetic aperture radar, Sensors, 8, 4213-4248, doi:10.3390/s8074213, 2008.
Vernieuwe, H., Verhoest, N. E. C., Lievens, H., and De Baets, B.: Possibilistic soil roughness identification for uncertainty reduction on SAR-retrieved soil moisture, IEEE T. Geosci. Remote Sens., 49, 628-638, doi:10.1109/TGRS.2010.2058577, 2011.
Western, A.W. and Blöschl, G.: On the spatial scaling of soil moisture, J. Hydrol., 217, 203-224, 1999. (Pubitemid 29207814)
Western, A.W., Grayson, R. B., Blöschl, G., andWilson, D. J.: Spatial Variability of Soil Moisture and its Implications for Scaling, chap. 8, 119-142, CRC PRESS, 2003.
Wilson, D. J., Western, A. W., Grayson, R. B., Berg, A. A., Lear, M. S., Rodell, M., Famiglietti, J. S., Woods, R. A., and McMahon, T. A.: Spatial distribution of soil mositure over 6 and 30 cm depth, Mahurangi river catchment, New Zealand, J. Hydrol., 276, 254-274, 2003. (Pubitemid 36695697)
Witten, I. H. and Frank, E.: Data Mining: Practical Machine Learning Tools and Techniques With Java Implementations, Morgan Kaufmann Publishers, San Francisco, 2005.
Zadeh, L.: The concept of a linguistic variable and its application to approximate reasoning, part i, Inform. Sciences, 8, 199-249, 1975.
Zar, J. H.: Biostatistical Analysis, Prentice-Hall Inc., New Jersey, USA., 1999.