D. C. Adriano, Trace elements in terrestrial environments; Biochemistry. bioavailability and risks of metals, 2001.

B. J. Alloway, Heavy metals in soils. Chapman and Hall, p.368, 1995.

P. Alvarenga, P. Palma, A. P. Goncalves, R. M. Fernandes, A. De-varennes et al., Evaluation of tests to assess the quality of mine-contaminated soils, Environmental Geochemistry and Health, vol.20, issue.7, pp.95-99, 2008.
DOI : 10.1007/s10653-008-9147-z

I. Anagu, J. Ingwersen, J. Utermann, and T. Streck, Estimation of heavy metal sorption in German soils using artificial neural networks Geoderma, pp.104-112, 2009.

P. R. Andersen and T. H. Christensen, Distribution coefficients of Cd, Co, Ni, and Zn in soils, Journal of Soil Science, vol.121, issue.1, pp.15-22, 1988.
DOI : 10.1111/j.1365-2389.1988.tb01190.x

G. Annadurai and J. F. Lee, Application of artificial neural network model for the development of optimized complex medium for phenol degradation using Pseudomonas pictorum (NICM 2074), Biodegradation, vol.21, issue.2, pp.383-392, 2007.
DOI : 10.1007/s10532-006-9072-8

C. F. Balasoiu, G. J. Zagury, and L. Deschênes, Partitioning and speciation of chromium, 2001.

A. R. Barron, Universal approximation bounds for superpositions of a sigmoidal function, IEEE Transactions on Information Theory, vol.39, issue.3, pp.930-945, 1993.
DOI : 10.1109/18.256500

T. Behrens, H. Förster, T. Scholten, U. Steinrüken, E. Spies et al., Digital soil mapping using artificial neural networks, Journal of Plant Nutrition and Soil Science, vol.36, issue.1, pp.21-33, 2005.
DOI : 10.1002/jpln.200421414

C. M. Bes and M. Mench, Remediation of copper-contaminated topsoils from a wood treatment facility using in situ stabilisation, Environmental Pollution, vol.156, issue.3, pp.1128-1166, 2008.
DOI : 10.1016/j.envpol.2008.04.006

C. M. Bes, M. Mench, M. Aulen, H. Gaste, and J. Taberly, Spatial variation of plant communities and shoot Cu concentrations of plant species at a timber treatment site, Plant and Soil, vol.17, issue.1-2, pp.267-80, 2010.
DOI : 10.1007/s11104-009-0198-4

N. S. Bolan, D. C. Adriano, R. Natesan, and B. J. Koo, Effects of Organic Amendments on the Reduction and Phytoavailability of Chromate in Mineral Soil, Journal of Environment Quality, vol.32, issue.1, pp.120-128, 2003.
DOI : 10.2134/jeq2003.1200

S. Brown, B. Christensen, E. Lombi, M. Mclaughlin, S. Mcgrath et al., An inter-laboratory study to test the ability of amendments to reduce the availability of Cd, Pb and Zn in situ. Environnemental Pollution, pp.34-45, 2005.

S. L. Brown, C. L. Henry, R. Chaney, H. Compton, and P. S. Devolder, Using municipal biosolids in combination with other residuals to restore metal-contaminated mining areas, Plant and Soil, vol.249, issue.1, pp.203-215, 2003.
DOI : 10.1023/A:1022558013310

B. Buszewski and T. Kowalkowski, A New Model of Heavy Metal Transport in the Soil Using Nonlinear Artificial Neural Networks, Environmental Engineering Science, vol.23, issue.4, pp.589-595, 2006.
DOI : 10.1089/ees.2006.23.589

O. Cortés, G. Urquiza, and J. A. Hernández, Optimization of operating conditions for compressor performance by means of neural network inverse, Applied Energy, vol.86, issue.11, pp.2487-2493, 2009.
DOI : 10.1016/j.apenergy.2009.03.001

J. Derome, Detoxification and amelioration of heavy metal contaminated forest soils by means of liming and fertilization. Environnemental Pollution, pp.79-88, 2009.

D. Laing, G. De-vos, R. Vandecasteele, B. Lesage, E. Tack et al., Effect of salinity on heavy metal mobility and availability in intertidal sediments of the Scheldt estuary, Estuarine, Coastal and Shelf Science, vol.77, issue.4, pp.589-602, 2008.
DOI : 10.1016/j.ecss.2007.10.017

D. Laing, G. Van-de-moortel, A. Moors, W. De-grauwe, P. Meers et al., Factors affecting metal concentrations in reed plants (Phragmites australis) of intertidal marshes in the Scheldt estuary, Ecological Engineering, vol.35, issue.2, 2009.
DOI : 10.1016/j.ecoleng.2008.01.002

E. Hamzaoui, Y. Hernández, J. A. Silva-martínez, S. Bassam, A. Álvarez et al., Optimal performance of COD removal during aqueous treatment of alazine and gesaprim commercial herbicides by direct and inverse neural network, Desalination, vol.277, issue.1-3, pp.325-337, 2011.
DOI : 10.1016/j.desal.2011.04.060

E. J. Elzinga, J. J. Van-grinsven, and F. A. Swartjes, General purpose Freundlich isotherms for cadmium, copper and zinc in soils, European Journal of Soil Science, vol.50, issue.1, pp.139-149, 1999.
DOI : 10.1046/j.1365-2389.1999.00220.x

M. Farrell and D. L. Jones, Use of composts in the remediation of heavy metal contaminated soil, Journal of Hazardous Materials, vol.175, issue.1-3, pp.575-582, 2010.
DOI : 10.1016/j.jhazmat.2009.10.044

R. G. Ford, Rates of Hydrous Ferric Oxide Crystallization and the Influence on Coprecipitated Arsenate, Environmental Science & Technology, vol.36, issue.11, pp.2459-2463, 2002.
DOI : 10.1021/es015768d

H. Freitas, M. N. Prasad, and J. Pratas, Plant community tolerant to trace elements growing on the degraded soils of S??o Domingos mine in the south east of Portugal: environmental implications, Environment International, vol.30, issue.1, pp.65-72, 2004.
DOI : 10.1016/S0160-4120(03)00149-1

V. P. Gadepalle, S. K. Ouki, R. V. Herwijnen, and T. Hutchings, Effects of amended compost on mobility and uptake of arsenic by rye grass in contaminated soil, Chemosphere, vol.72, issue.7, pp.1056-1061, 2008.
DOI : 10.1016/j.chemosphere.2008.03.048

A. Gandhimathi and T. Meenambal, Analysis of Heavy Metal for Soil in Coimbatore by using ANN Model, European Journal of Scientific Research, vol.68, issue.4, pp.462-474, 2012.

G. Garau, M. Silvetti, S. Deiana, P. Deiana, and P. Castaldi, Long-term influence of red mud on As mobility and soil physico-chemical and microbial parameters in a polluted sub-acidic soil, Journal of Hazardous Materials, vol.185, issue.2-3, pp.1241-1248, 2011.
DOI : 10.1016/j.jhazmat.2010.10.037

J. Gerke, Aluminum complexation by humic substances and aluminum species in the soil solution, Geoderma, vol.63, issue.2, pp.165-175, 1994.
DOI : 10.1016/0016-7061(94)90004-3

M. N. González-alcaraz, H. M. Conesa, T. M. Schulinb, R. Álvarez-rogel, J. Egea et al., The combined use of liming and Sarcocornia fruticosa development for phytomanagement of salt marsh soils polluted by mine wastes, Journal of Hazardous Materials, vol.186, issue.1, pp.805-813, 2011.
DOI : 10.1016/j.jhazmat.2010.11.071

V. K. Gupta and S. Sharma, Removal of Cadmium and Zinc from Aqueous Solutions Using Red Mud, Environmental Science & Technology, vol.36, issue.16, pp.3612-3617, 2002.
DOI : 10.1021/es020010v

R. Hambli, Statistical damage analysis of extrusion processes using finite element method and neural networks simulation. Finite Elements in Anal and Design, pp.640-649, 2009.

R. Hambli, A. Chamekh, and H. Salah, Real-time deformation of structure using finite element and neural networks in virtual reality applications. Finite Elements in Analysis and Design, pp.985-991, 2006.

D. M. Hamby, A Probabilistic Estimation of Atmospheric tritium Dose. Health Physicians, pp.33-40, 1993.

J. Harmsen, Measuring Bioavailability: From a Scientific Approach to Standard Methods, Journal of Environment Quality, vol.36, issue.5, pp.1420-1428, 2007.
DOI : 10.2134/jeq2006.0492

R. D. Harter and R. Naidu, Role of metal?organic cCPMplexation in metal sorption by soils Advances in Agronomy, pp.219-263, 1995.

W. Hartley and N. W. Lepp, Remediation of arsenic contaminated soils by iron-oxide application, evaluated in terms of plant productivity, arsenic and phytotoxic metal uptake, Science of total Environment, pp.35-44, 2008.

V. Hatje, T. E. Payne, D. M. Hill, G. Mcorist, G. F. Birch et al., Kinetics of trace element uptake and release by particles in estuarine waters: effects of pH, salinity, and particle loading, Environment International, vol.29, issue.5, pp.619-629, 2003.
DOI : 10.1016/S0160-4120(03)00049-7

J. A. Hernández, Optimum operating conditions for heat and mass transfer in foodstuffs drying by means of neural network inverse, Food Control, vol.20, issue.4, pp.435-438, 2009.
DOI : 10.1016/j.foodcont.2008.07.005

J. A. Hernández, D. Colorado, O. Cortés-aburto, Y. Hamzaoui, V. Velazquez et al., Inverse neural network for optimal performance in polygeneration systems, Applied Thermal Engineering, vol.50, issue.2, pp.1399-1406, 2013.
DOI : 10.1016/j.applthermaleng.2011.12.041

. J. Hsu and S. L. Lo, Characterisation and extractability of copper. manganese. and zinc in swine manure composts, Journal of Environmental industry. Environmental Pollution, vol.101, pp.43-48, 2000.

B. P. Jackson and W. P. Miller, Soil Solution Chemistry of a Fly Ash-, Poultry Litter-, and Sewage Sludge-Amended Soil, Journal of Environment Quality, vol.29, issue.2, pp.430-436, 2000.
DOI : 10.2134/jeq2000.00472425002900020009x

J. Jacques, C. Lavergne, and N. Devictor, Sensitivity analysis in presence of model uncertainty and correlated inputs, Reliability Engineering & System Safety, vol.91, issue.10-11, pp.1126-1134, 2006.
DOI : 10.1016/j.ress.2005.11.047

URL : https://hal.archives-ouvertes.fr/hal-00194061

W. M. Jenkins, An introduction to neural computing for the structural engineer, Journal of Structural Engineering, vol.75, issue.3, pp.38-41, 1997.

A. Kabata-pendias and H. Pendias, Trace elements in soils andplants, p.365, 1992.

A. Kabata-pendias and H. Pendias, Trace Elements is Soils and Plants, 2000.

K. Kafadar, Choosing among two-dimensional smoothers in practice, Computational Statistics & Data Analysis, vol.18, issue.4, pp.419-439, 1994.
DOI : 10.1016/0167-9473(94)90160-0

J. Labus, J. A. Hernández, J. C. Bruno, and A. Coronas, Inverse neural network based control strategy for absorption chillers, Renewable Energy, vol.39, issue.1, pp.471-482, 2012.
DOI : 10.1016/j.renene.2011.08.036

M. Laidi and S. Hanini, Optimal solar COP prediction of a solar-assisted adsorption refrigeration system working with activated carbon/methanol as working pairs using direct and inverse artificial neural network, International Journal of Refrigeration, vol.36, issue.1, pp.247-257, 2013.
DOI : 10.1016/j.ijrefrig.2012.09.016

M. Lexmond, The effect of soil pH on copper toxicity to forage maize grown under field conditions, Netherlands Journal of Agricultural Science, vol.28, pp.164-184, 1980.

E. Lombi, R. E. Hamon, S. P. Mcgrath, and M. J. Mclaughlin, Lability of Cd, Cu, and Zn in Polluted Soils Treated with Lime, Beringite, and Red Mud and Identification of a Non-Labile Colloidal Fraction of Metals Using Isotopic Techniques, Environmental Science & Technology, vol.37, issue.5, pp.979-984, 2003.
DOI : 10.1021/es026083w

Y. Ma, E. Lombi, I. Oliver, A. Nolan, and M. Mclaughlin, Long-Term Aging of Copper Added to Soils, Environmental Science & Technology, vol.40, issue.20, pp.6310-6317, 2006.
DOI : 10.1021/es060306r

A. B. Mcbratney, M. Santos, M. L. Minasny, and B. , On digital soil mapping, Geoderma, vol.117, issue.1-2, pp.3-52, 2003.
DOI : 10.1016/S0016-7061(03)00223-4

M. B. Mcbride, Reactions controlling heavy metal solubility in soils Advances in Soil Sciences, p.156, 1989.

F. Sarmadian and R. Taghizadeh-mehrjardi, Modeling of Some Soil Properties Using Artificial Neural Network and Multivariate Regression in Gorgan Province, North of Iran, Global Journal of Environmental Research, vol.2, issue.1, pp.30-35, 2008.

S. Sauve´, W. Hendershot, and H. E. Allen, Solid-Solution Partitioning of Metals in Contaminated Soils:?? Dependence on pH, Total Metal Burden, and Organic Matter, Environmental Science & Technology, vol.34, issue.7, pp.1125-1131, 2000.
DOI : 10.1021/es9907764

M. G. Schaap and F. J. Leij, Using neural networks to predict soil water retention and soil hydraulic conductivity, Soil and Tillage Research, vol.47, issue.1-2, pp.37-42, 1998.
DOI : 10.1016/S0167-1987(98)00070-1

M. G. Schaap, F. J. Leij, and M. T. Van-genuchten, Neural Network Analysis for Hierarchical Prediction of Soil Hydraulic Properties, Soil Science Society of America Journal, vol.62, issue.4, pp.84-855, 1998.
DOI : 10.2136/sssaj1998.03615995006200040001x

P. Schwab, D. Zhu, and M. K. Banks, Heavy metal leaching from mine tailings as affected by organic amendments, Bioresource Technology, vol.98, issue.15, pp.2935-2941, 2007.
DOI : 10.1016/j.biortech.2006.10.012

T. Streck and J. Richter, Heavy Metal Displacement in a Sandy Soil at the Field Scale: I. Measurements and Parameterization of Sorption, Journal of Environment Quality, vol.26, issue.1, pp.49-56, 1997.
DOI : 10.2134/jeq1997.00472425002600010008x

A. Tiktak, J. R. Alkemade, J. J. Van-grinsven, and G. B. Makaske, Modeling cadmium accumulation at a regional scale in the Netherlands. Nutrient Cycling in Agroecosystems, pp.209-222, 1998.

S. I. Torri and R. S. Lavado, Dynamics of Cd, Cu and Pb added to soil through different kinds of sewage sludge, Waste Management, pp.21-832, 2008.

P. Trivedi and L. Axe, Predicting Divalent Metal Sorption to Hydrous Al, Fe, and Mn Oxides, Environmental Science & Technology, vol.35, issue.9, pp.1779-1784, 2001.
DOI : 10.1021/es001644+

G. Tyler and T. Olsson, Concentrations of 60 elements in the soil solution as related to the soil acidity, European Journal of Soil Science, vol.53, issue.1, pp.151-165, 2001.
DOI : 10.1016/S0016-7061(99)00080-4

S. E. Van-der-zee and W. H. Van-riemsdijk, Transport of reactive solute in spatially variable soil systems, Water Resources Research, vol.22, issue.2, pp.2059-2069, 1987.
DOI : 10.1029/WR023i011p02059

P. F. Velleman, Definition and Comparison of Robust Nonlinear Data Smoothing Algorithms, Journal of the American Statistical Association, vol.70, issue.371, pp.609-615, 1980.
DOI : 10.1080/01621459.1980.10477521

D. J. Walker, R. Clemente, and M. P. Bernal, Contrasting effects of manure and compost on soil pH, heavy metal availability and growth of Chenopodium album L. in a soil contaminated by pyritic mine waste, Chemosphere, vol.57, issue.3, pp.215-224, 2004.
DOI : 10.1016/j.chemosphere.2004.05.020

G. P. Warren and B. J. Alloway, Reduction of Arsenic Uptake by Lettuce with Ferrous Sulfate Applied to Contaminated Soil, Journal of Environment Quality, vol.32, issue.3, pp.767-772, 2003.
DOI : 10.2134/jeq2003.7670

H. Zhang, F. J. Zhao, B. Sun, W. Davison, and S. Mcgrath, A New Method to Measure Effective Soil Solution Concentration Predicts Copper Availability to Plants, Environmental Science & Technology, vol.35, issue.12, pp.2602-2607, 2001.
DOI : 10.1021/es000268q

E. L. Zvereva and M. V. Kozlov, Facilitation of bilberry by mountain birch in habitat severely disturbed by pollution: Importance of sheltering, Environmental and Experimental Botany, vol.60, issue.2, pp.170-176, 2007.
DOI : 10.1016/j.envexpbot.2006.10.005

E. L. Zvereva and M. V. Kozlov, Facilitative effects of top-canopy plants on four dwarf shrub species in habitats severely disturbed by pollution, Journal of Ecology, vol.67, issue.2, pp.288-296, 2004.
DOI : 10.1046/j.1365-2745.2001.00509.x