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A simple model for estimating Ni availability and leaf Ni accumulation for the Ni-hyperaccumulator Leptoplax emarginata

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Abstract

Aims

The aim of the present study was to predict kinetics of both Ni concentration in soil solution and leaf Ni mass for the Ni-hyperaccumulator Leptoplax emarginata cultivated on a fertilized and Ni-contaminated sandy topsoil.

Methods

The 0-D (independent of space) one-site rate-limited desorption model proposed by Ingwersen et al. (J Environ Qual 35:2055–2065, 2006) was modified. The plant sink term of the model was approximated by the biophysical equation which assumes that the leaf nickel mass is equal to the triple product of the Intact Plant Transpiration Stream Concentration Factor for Ni IPTSCFNi (xylem:solution Ni concentration ratio), Ni concentration in solution and the volume of transpired water. The model input variables were the constant mean IPTSCFNi value, determined from independent leaf Ni accumulation kinetics, and the exponential law fitting the transpiration rate kinetics. Using the best calibration, the model was validated and a sensitivity analysis was carried out thereafter. Models were formulated as sets of ordinary differential equation systems which were solved using the fourth-order Runge–Kutta method.

Results

The best model calibration was the joint parameter optimization: the two parameters of the Freundlich Ni adsorption isotherm and of the Ni desorption rate coefficient are obtained using the kinetics of Ni concentrations in the soil solutions for the reference unplanted Ni-contaminated topsoils. The model was validated reasonably well for both Ni concentration in soil solution and leaf Ni mass.

Conclusions

The joint parameter optimization of the two parameters of the Freundlich nickel sorption isotherm and of the Ni desorption rate was successful whereas the Freundlich batch Ni sorption isotherm dramatically overestimated Ni sorption. This joint approach is therefore recommended for any plant metal uptake model. The 0-D one-site rate-limited desorption model linked to a biophysical coupled Ni and water uptake model reasonably validated the kinetics of both Ni concentration in solution and leaf Ni mass. This promising simplified model for predicting both metal concentration in solution and leaf metal mass for metal needs further validations in culture chambers and further improvements in order to use it in the field as a one-dimensional model, taking into account soil moisture dynamics.

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Acknowledgments

We thank Mathilde Royer for her participation in the hyperaccumulator/Ni-contaminated soil experiment, Stéphane Colin for designing the culture pots and our colleagues from TCEM INRA Bordeaux for rendering accessible their experimental site for the topsoil sampling. Trust and financial support from INPL, ADEME and Lorraine Regional Council given to the first author for his PhD grant were greatly appreciated. We thank very much Claude Doussan, UMR EMMAH INRA-Université d’Avignon et Pays de Vaucluse, France, for his very helpful constructive comments on an earlier draft of the paper, and Helen Selliez for improving the English. We finally also thank very much the reviewer for key very helpful comments and criticisms, as well as for careful editorial comments, that have greatly improved the former version of this paper.

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  1. Université de Lorraine, Laboratoire Sols et Environnement (UMR 1120 Université de Lorraine-INRA), TSA 40602, 54518, Vandoeuvre-les-Nancy Cedex, France

    D. Coinchelin & F. Bartoli

  2. Laboratoire d’Energétique et de Mécanique Théorique et Appliquée (UMR 7563 Université de Lorraine-CNRS), TSA 60604, 54518, Vandoeuvre-les-Nancy Cedex, France

    D. Stemmelen

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  1. D. Coinchelin
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Coinchelin, D., Stemmelen, D. & Bartoli, F. A simple model for estimating Ni availability and leaf Ni accumulation for the Ni-hyperaccumulator Leptoplax emarginata . Plant Soil 374, 131–147 (2014). https://doi.org/10.1007/s11104-013-1873-z

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