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Scaling Relationships between Saturated Hydraulic Conductivity and Soil Physical Properties

Dep. of Soil Science, Univ. of Saskatchewan, Saskatoon, SK S7N 5A8, Canada

View larger version (43K): [in a new window]   Fig. 1. Plots of the spatial distribution of saturated hydraulic conductivity and soil physical properties measured at a 3-m intervals along the 384-m transect.

View larger version (32K): [in a new window]   Fig. 2. Histograms of soil physical property variables and saturated hydraulic conductivity data. Db, bulk density; SA, sand content; SI, silt content; CL, clay content; OC, organic carbon content; Ks, saturated hydraulic conductivity.

View larger version (38K): [in a new window]   Fig. 3. Semivariograms of soil physical property variables and the natural log transformed saturated hydraulic conductivity data. Db, bulk density; SA, sand content; SI, silt content; CL, clay content; OC, organic carbon content; Ks, saturated hydraulic conductivity.

View larger version (29K): [in a new window]   Fig. 4. Linear fits of the log-log plots of the aggregated variance versus level of aggregation. Db, bulk density; SA, sand content; SI, silt content; CL, clay content; OC, organic carbon content; Ks, saturated hydraulic conductivity.

View larger version (18K): [in a new window]   Fig. 5. The mass exponents of the variables (q = –6 to 6 at 0.5 increments). The solid line is a superimposed straight line passing through (0). Db, bulk density; SA, sand content; SI, silt content; CL, clay content; OC, organic carbon content; Ks, saturated hydraulic conductivity.

View larger version (18K): [in a new window]   Fig. 6. The multifractal spectra of all the variables studied (q = –6 to 6 at 0.5 increments). Db, bulk density; SA, sand content; SI, silt content; CL, clay content; OC, organic carbon content; Ks, saturated hydraulic conductivity.

View larger version (38K): [in a new window]   Fig. 7. Multifractal spectrum of the joint distribution of saturated hydraulic conductivity (vertical axis) and the soil properties (horizontal). Contour lines show the joint scaling dimensions of the variables. Db, bulk density; SA, sand content; SI, silt content; CL, clay content; OC, organic carbon content; Ks, saturated hydraulic conductivity.