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Description of Soil Water Characteristics Using Cubic Spline Interpolation

^a Institute for Hydraulics and Rural Water Management, Univ. of Agriculture, Forestry and Renewable Resources, Muthgasse 18, A-1190 Vienna, Austria
^b Dep. of Land, Air and Water Resources, Univ. of California, Davis, CA 95616

View larger version (24K): [in a new window]   Fig. 1. Measured soil water characteristic for Troup E3 soil (Dane and Puckett, 1992) approximated by simple cubic splines and the equations of van Genuchten (1980) and Brooks and Corey (1964). RMSE is root-mean-square error

View larger version (23K): [in a new window]   Fig. 2. Measured soil water characteristic (Stephens and Rehfeldt, 1985) approximated by simple cubic splines and the equations of van Genuchten (1980) and Brooks and Corey (1964). RMSE is root-mean-square error

View larger version (16K): [in a new window]   Fig. 3. Measured soil water characteristic in Fig. 1 approximated by cubic splines interpolation with two virtual points [(, h) = (0.036, -185)] and [(, h) = (0.33, -2.5)]

View larger version (17K): [in a new window]   Fig. 4. Measured soil water characteristic in Fig. 2 approximated by cubic splines interpolation using one virtual point [(, h) = (0.31, -30)] (solid line), and with one datum near 0.1 cm3 cm-3 shifted using the virtual point [(, h) = (0.088, -107)] together with the virtual point [(, h) = (0.31, -30)] (broken line). RMSE is root-mean-square error

View larger version (18K): [in a new window]   Fig. 5. Measurements by Dane et al. (1994) approximated by virtual cubic splines interpolation using virtual points given in Table 1. RMSE is root-mean-square error