K+ uptake by root systems grown in soil under salinity: I. A mathematical model

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Abstract

A novel theoretical model is proposed for K+ uptake by intact root systems from saline soil considering interactions with Na+, Ca2+ and Mg2+. The model assumes radial movement of ions towards the root governed by advection and diffusion flux mechanisms, and chemical exchange of the four cations according to Gapon isotherms, with Cl- as the accompanying anion. Influx of K+ to the root surface is assumed as a function of its concentration in the soil solution at the root. This influx is governed by a saturable-cooperative term and a linear term for low and high K+ concentrations, respectively. Influx of Na+, above a critical value of its concentration, increases linearly with its concentration in the soil solution at the root surface. Uptake of Ca+2+ is controlled by the balance between influxes of anions and cations, which induces efflux of H+ or HCO3-, and interacts with calcite in a calcareous soil. The model may provide information about the behavior of ions at the root-soil interface which cannot be measured in situ.

Original languageEnglish
Pages (from-to)101-116
Number of pages16
JournalTransport in Porous Media
Volume11
Issue number2
DOIs
StatePublished - 1 May 1993

Keywords

  • Cation exchange
  • Gapon isotherms
  • H efflux
  • K uptake
  • cation interaction
  • mathematical model
  • mineral nutrition
  • soil salinity

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