Skip to main content
Log in

Transient three-dimensional modeling of soil water and solute transport with simultaneous root growth, root water and nutrient uptake

  • Published:
Plant and Soil Aims and scope Submit manuscript

Abstract

A three-dimensional solute transport model was developed and linked to a three-dimensional transient model for soil water flow and root growth. The simulation domain is discretized into a grid of finite elements by which the soil physical properties are spatially distributed. Solute transport modeling includes passive and active nutrient uptake by roots as well as zero- and first-order source/sink terms. Root water uptake modeling accounts for matric and osmotic potential effects on water and passive nutrient uptake. Root age effects on root water and nutrient uptake activity have been included, as well as the influence of nutrient deficiency and ion toxicity on root growth. Examples illustrate simulations with different levels of model complexity, depending on the amount of information available to the user. At the simplest level, root growth is simulated as a function of mechanical soil strength only. Application of the intermediate level with root water and nutrient uptake simulates the influence of timing and amount of NO3 application on leaching. The most comprehensive level includes simulation of root and shoot growth as influenced by soil water and nutrient status, temperature, and dynamic allocation of assimilate to root and shoot.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Al-Khafaf S, Adnan A and Al-Asadi N M 1990 Dynamics of root and shoot growth of barley under various levels of salinity and water stress. Agric. Water Manag. 18, 63–75.

    Google Scholar 

  • Amijee F, Barraclough P B and Tinker P B 1991 Modeling phosphorus uptake and utilization by plants. In Phosphorus nutrition of grain legumes in the semi-arid tropics. Eds. C Johansen, K K Lee and K L Sabrawat. ICRISAT, India.

    Google Scholar 

  • Andren 0, Hansson A C and Vegh K 1993 Barley nutrient uptake, root growth and depth distribution in two soil types in a rhizotron with vertical and horizontal minirhizotrons. Swedish J. Agric. Res 23: 115–126.

    Google Scholar 

  • Baldwin J P, Nye P H and Tinker P B 1973 Uptake of solutes by multiple root systems from soil. III. A model for calculating the solute uptake by a randomly dispersed root system developing in a finite volume of soil. Plant and Soil 38, 621–635.

    Google Scholar 

  • Barber S A and Cushman J H 1981 Nitrogen uptake model for agronomic crops. In Modeling waste water renovation-land treatment. Ed. I K Iskandar. pp 382–409. John Wiley, New York.

    Google Scholar 

  • Barber S A 1984 Soil Nutrient Bioavailability. A Mechanistic Approach John Wiley, New York.

    Google Scholar 

  • Barley K P 1970 The configuration of the root system in relation to nutrient uptake. Advances in Agronomy 22, 159–201.

    Google Scholar 

  • Ben-Asher J 1994 Simplified model of integrated water and solute uptake by salts-and selenium-accumulating plants. Soil Sci. Soc. Am. J. 58, 1012–1016.

    Google Scholar 

  • Benjamin J G, Ahuja L R and Allmaras R R 1996 Modeling corn rooting patterns and their effects on water uptake and nitrate leaching. Plant and Soil 179, 223–232.

    Google Scholar 

  • Bloom A J, Jackson L E and Smart D R 1993 Root growth as a function of animonium and nitrate in the root. Plant, Cell and Env. 16, 199–206.

    Google Scholar 

  • Claassen N and Barber S A 1976 Simulation model for nutrient uptake from soil by a growing plant root system. Agron. J. 68, 961–964.

    Google Scholar 

  • Clausnitzer V and Hopmans J W 1994 Simultaneous modeling of transient three-dimensional root growth and soil water flow. Plant and Soil 164, 299–314.

    Google Scholar 

  • De Willigen P and van Noordwijk M 1987 Roots, plant production and nutrient use efficiency. PhD thesis, Agricultural University Wageningen.

  • Diggle A J 1988 ROOTMAP-A model in three-dimensional coordinates of the growth and structure of fibrous root systems. Plant and Soil 105, 169–178.

    Google Scholar 

  • Drew M C and Saker L R 1975 Nutrient supply and the growth of seminal root system in barley. II. Localized, compensatory increases in lateral root growth and rates of nitrate uptake when nitrate supply is restricted to only part of the root system. J. Exp. Bot. 26, 79–90.

    Google Scholar 

  • Ericsson T 1995 Growth and shoot: root ration of seedlings in relation to nutrient availability. Plant and Soil 168–169, 205–214.

  • Feddes R A, Kowalik P J and Zaradny H 1978 Simulation of field water use and crop yield. Simulation Monographs, Pudoc, Wageningen, The Netherlands.

    Google Scholar 

  • Hackett C and Rose D A 1972a A model of the extension and branching of a seminal root of barley, and its use in studying relations between root dimensions. I. The model. Aust. J. Biol. Sci. 25, 669–679.

    Google Scholar 

  • Hackett C and Rose D A 1972b A model of the extension and branching of a seminal root of barley, and its use in studying relations between root dimensions. II. Results and inferences from manipulation of the model. Aust. J. Biol. Sci. 25, 681–690.

    Google Scholar 

  • Henriksen G H, Raman D R, Walker L P and Spanswick R M 1992 Measurement of net fluxes of ammonium and nitrate at the surface of barley roots using ion-selective microelectrodes: II. Patterns of uptake along the root axis and evaluation of the microelectrode flux estimation technique. Plant Physiol. 99, 734–747.

    Google Scholar 

  • Javandel I, Doughty C and Tsang C F 1984 Groundwater transport: handbook of mathematical models. A.G.U. Water Resources Monograph No. 10, Washington, D.C.

  • Jones C A, Bland W L, Ritchie J T and Williams J R 1991 Simulation of root growth. In Modeling Plant and Soil Systems. ASA-CSSA-SSSA Agronomy Monograph no. 31.

  • Jourdan C, Rey H and Guédon Y 1995 Architectural analysis and modeling of the branching process of the young oil-palm root system. Plant and Soil 177, 63–72.

    Google Scholar 

  • Kochian L V and Lucas W J 1982 Potassium transport in corn roots. I. Resolution of kinetics inot a saturable and linear component Plant Physiol. 70, 1723–1731.

    Google Scholar 

  • Lazof D B, Rufty T W and Redinbaugh M G 1992 Localization of nitrate absorption and translocation within morphological regions of the corn root. Plant Physiol. 100, 1251–1258.

    Google Scholar 

  • Leij F J and Bradford S A 1991 3DADE: a computer program for evaluating three-dimensional equilibrium solute transport in porous media. U.S. Salinity Laboratory Research Report No. 134, Riverside, Ca.

  • Lungley D R 1973 The growth of root systems-A numerical computer simulation model. Plant and Soil 38, 145–159.

    Google Scholar 

  • Maas E V and Hoffman G J 1977 Crop salt tolerance-Current assessment. J. of Irrig. and Drain. Engrg. 103, 115–134.

    Google Scholar 

  • Mariño M A and Tracy J C 1988 Flow of water through root-soil environment. J. of Irrig. and Drain. Engrg. 114, 588–604.

    Google Scholar 

  • Milly P C D 1988 Advances in modeling of water in the unsaturated zone. Transport in Porous Media 3, 491–514.

    Google Scholar 

  • Nye P H and Marriott F H C 1969 A theoretical study of the distribution of substances around roots resulting from simultaneous diffusion and mass flow. Plant and Soil 3, 459–472.

    Google Scholar 

  • Pages L, Jordan M O, and Picard D 1989 A simulation model of the three-dimensional architecture of the maize root system. Plant and Soil 119, 147–154.

    Google Scholar 

  • Passioura J B and Frére M H 1967 Numerical analysis of convection and diffusion of salutes to roots. Aust. J. Soil Res. 5, 149–159.

    Google Scholar 

  • Perrochet P and Berod D 1993 Stability of the standard Crank-Nicholson-Galerkin scheme applied to the diffusion-convection equation: some new insights. Water Resour. Res. 29(9), 3291–3297.

    Google Scholar 

  • Richards LA 1931 Capillarity conduction of liquids through porous media. Physics 1, 318–333.

    Google Scholar 

  • Schmidhalter U and Oertli J J 1991 Transpiration/biomass ratio for carrots as affected by salinity, nutrient supply and soil aeration. Plant and Soil 135, 125–132.

    Google Scholar 

  • Shaviv A and Mikkelsen R L 1993 Controlled-release fertilizers to increase efficiency of nutrient use and minimize environmental degradation-A review. Fert. Res. 35, 1–12.

    Google Scholar 

  • Shedley E, Dell B and Grove T 1995 Diagnosis of nitrogen deficiency and toxicity of Eucaliptus globulus seedlings by foliar analysis. Plant and Soil 177, 183–189.

    Google Scholar 

  • Siddiqi M Y, Class AD M, Ruth T J and Rufty T W 1990 Studies of the uptake of nitrate in barley: 1. Kinetics of 13NO3-influx. Plant Physiol. 93, 1426–1432.

    Google Scholar 

  • Silberbush M and Barber S A 1984 Phosphorus and potassium uptake of field-grown soybean cultivars predicted by a simulation model. Soil Sci. Soc. Am. 3. 48, 592–596.

    Google Scholar 

  • Šimunek J, Vogel T and van Genuchten M Th 1992 The SWMS_2D code for simulating water flow and solute transport in two-dimensional variably saturated media, V.1.1. Research Report No. 126, U.S. Salinity Lab, ARS USDA, Riverside, Ca.

    Google Scholar 

  • Somma F, Clausnitzer V and Hopmans J W 1997 An algorithm for three-dimensional simultaneous modeling of root growth, transient soil water flow, and transport and uptake, V.2.1. Land, Air and Water Resources Paper No. 100034, Univ. of California, Davis.

    Google Scholar 

  • Stark N 1992 The effects of water and multi-nutrient stress on xylem sap chemistly, photosynthesis and transpiration of seedlings of two Eucalypts. Trees 6, 7–12.

    Google Scholar 

  • Tracy J C and Mariño M A 1989 Solute movement through root-soil environment. J. of Irrig. and Drain. Engrg. 115, 608–625.

    Google Scholar 

  • Van Genuchten, M. Th. 1980 A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44, 892–898.

    Google Scholar 

  • Van Genuchten, M. Th. and Alves W J 1982 Analytical solutions of the one-dimensional convective-dispersive solute transport equation. USDA Technical Bulletin No. 1661.

  • 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 Lab, ARS USDA, Riverside, Ca..

    Google Scholar 

  • Van Genuchten M Th and Gupta S K 1993 A reassessment of the crop tolerance response function. 3. Indian Soc. Soil Sci. 4, 730–737.

    Google Scholar 

  • Van Noordwijk M and de Willigen P 1991 Root function in agricultural systems. In Plant roots and their environment. Eds. B L McMichael and H Persson. pp 381–395. Elsevier Science Publishers.

  • Vogel T 1987 SWM II-numerical model of two-dimensional flow in a variably saturated porous medium. Research Report No. 87, Wageningen Agricultural Univ., The Netherlands.

    Google Scholar 

  • Wheeler D M and Power I L 1995 Comparison of plant uptake and plant toxicity of various ions in wheat. Plant and Soil 172, 167–173.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Somma, F., Hopmans, J. & Clausnitzer, V. Transient three-dimensional modeling of soil water and solute transport with simultaneous root growth, root water and nutrient uptake. Plant and Soil 202, 281–293 (1998). https://doi.org/10.1023/A:1004378602378

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004378602378

Navigation