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Comment on "Root Water Extraction and Limiting Soil Hydraulic Conditions Estimated by Numerical Simulation"

^a Central Institute for Applied Mathematics, Forschungszentrum Juelich GmbH 52425 Juelich, Germany
^b Dep. of Environ. Sci. and Land Use Planning, Univ. Catholique de Louvain, B-1348, Louvain-La-Neuve, Belgium
^c Agrosphere, ICG-IV, Forschungszentrum Juelich GmbH, 52425 Juelich, Germany

View larger version (9K): [in this window] [in a new window]   FIG. 1. The pressure head is plotted vs. the radius (clay soil, medium root density, high transpiration rate) for the numerical solution (solid line) at different times after the start of water extraction (Fig. 14a in de Jong van Lier et al. [2006]). The results at the moment of first occurrence of limiting hydraulic conditions at the root surface are indicated by the dashed lines (numerical = black, incorrect analytical = red); in addition, the correct analytical solution (dots) is given.

View larger version (12K): [in this window] [in a new window]   FIG. 2. Analytical vs. numerical solution at limiting soil pressure head (||-150 m ||) for three different soil types using a low root density profile and a high transpiration rate. Left panel shows the total pressure head range; the right panel shows a magnification. The red lines indicate the analytical solution as derived in Eq. [45] of de Jong van Lier et al. (2006); the blue lines indicate the correct analytical solution (Eq. [6]).

View larger version (13K): [in this window] [in a new window]   FIG. 3. Analytical vs. numerical solution at limiting soil pressure head (||-150 m ||) for three different soil types using a medium root density profile and a low transpiration rate. Left panel shows the total pressure head range; the right panel shows a magnification. The red lines indicate the analytical solution as derived in Eq. [45] of de Jong van Lier et al. (2006), and the blue lines indicate the correct analytical solution (Eq. [6]).