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Root water and solute uptake

The page follows the Root Water and Solute Uptake Model dialog of HYDRUS-1D 4.17 together with the Root Growth parameters. The equations are in root water uptake and root solute uptake.

The page Root water and solute uptake with the Feddes parameters.
The page Root water and solute uptake with the Feddes parameters.

Root water uptake model

InputDescription
Water uptake reduction modelFeddes et al. (1978) Feddes et al. (1978) or S-shape van Genuchten (1987)
Solute stress modelnone, additive or multiplicative (threshold Maas and Hoffman (1977) or S-shape)
Critical stress index ωccompensated uptake Jarvis (1989); Šimůnek and Hopmans (2009): 1 = no compensation, smaller values let unstressed roots compensate stressed ones

Feddes parameters

ParameterDescription
P0head above which no water is taken up (anaerobiosis) [L]
POpthead below which the uptake is optimal; can differ between materials [L]
P2H, P2Lheads below which the uptake decreases, for a potential transpiration of r2H and r2L [L]
P3wilting point: no uptake below it [L]
r2H, r2Lpotential transpiration rates of P2H and P2L [L/T] (0.5 and 0.1 cm/d)

For the S-shape function: P50, the pressure head of 50 % uptake, and the exponent p.

Solute stress parameters

The osmotic coefficients (osmotic head per unit concentration) of each solute convert concentrations into the osmotic head. Multiplicative stress uses a threshold and a slope Maas (1990), or c50 and p of the S-shape.

Root solute uptake

InputDescription
cRoot (per solute)maximum concentration of passive uptake: passive uptake = water uptake × min(c, cRoot); 0 = no passive uptake
Active solute uptakeMichaelis–Menten uptake of one solute Šimůnek and Hopmans (2009)
Solute with active uptakethe solute taken up actively (HYDRUS 4.17)
Potential solute uptake rate[M/L²/T]; with time-variable boundary conditions from the cBot column of this solute
Michaelis–Menten constant Km[M/L³]
Minimum concentration for uptake[M/L³]
Critical stress index for active uptakecompensation of the active uptake (1 = none)
Reduced potential solute uptake …the potential active uptake is reduced with the water stress

Root distribution and growth

Without root growth the nodal root distribution b(x) of the soil profile is used. With root growth:

OptionDescription
Rooting depth from atmospheric datathe xRoot column of the time-variable data
Table (time, depth)interpolated from a table
Logistic (Verhulst–Pearl)growth between sowing and harvest after the logistic function Šimůnek and Suarez (1993) with the initial root depth, the root depth at a known time, the maximum root depth and a period for repeated cycles

See root growth for the equations.

Literature cited in this topic

  • Feddes, R. A., P. J. Kowalik, and H. Zaradny (1978). Simulation of Field Water Use and Crop Yield. Simulation Monographs, Pudoc, Wageningen, 189 pp.
  • Jarvis, N. J. (1989). A simple empirical model of root water uptake. Journal of Hydrology 107(1–4): 57–72.
  • Maas, E. V. (1990). Crop salt tolerance. In: K. K. Tanji (ed.), Agricultural Salinity Assessment and Management, ASCE Manuals and Reports on Engineering Practice No. 71, American Society of Civil Engineers, New York, pp. 262–304.
  • Maas, E. V., and G. J. Hoffman (1977). Crop salt tolerance – current assessment. Journal of the Irrigation and Drainage Division, ASCE 103(IR2): 115–134.
  • van Genuchten, M. Th. (1987). A Numerical Model for Water and Solute Movement in and below the Root Zone. Research Report No. 121, U.S. Salinity Laboratory, USDA-ARS, Riverside, CA.
  • Šimůnek, J., and D. L. Suarez (1993). Modeling of carbon dioxide transport and production in soil: 1. Model development. Water Resources Research 29(2): 487–497. doi:10.1029/92WR02225
  • Šimůnek, J., and J. W. Hopmans (2009). Modeling compensated root water and nutrient uptake. Ecological Modelling 220(4): 505–521. doi:10.1016/j.ecolmodel.2008.11.004

All sources: References.