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A method is presented for developing probability density functions for parameters of soil moisture relationships of capillary head h (θ) and hydraulic conductivity K (θ). These soil moisture parameters are required for the assessment of water flow and solute transport in unsaturated media. The method employs a statistical multiple regression equation proposed in the literature for estimating h (θ) or K (θ) relationships using the soil saturated water content and the percentages of sand and clay. In the absence of known statistical distributions for either h (θ) or K (θ) relationships, the method facilitates modeling by providing variability estimates that can be used to examine the uncertainty associated with water flow or solute transport in unsaturated media.
Carsel et al. (1988) studied this question.