M. Ahsam and K. M. O-'connor, A reappraisal of the Kalman filtering technique, as applied in river flow forecasting, Journal of Hydrology, vol.161, issue.1-4, pp.197-226, 1994.
DOI : 10.1016/0022-1694(94)90129-5

A. M. Al-omran, G. Abdel-nasser, I. Choudhary, and J. Al-otuibi, Spatial variability of soil pH and salinity under date palm cultivation, Agric Res Center, pp.5-36, 2004.

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.267-280, 2010.
DOI : 10.1007/s11104-009-0198-4

G. D. Betrie, R. Sadiq, K. A. Morin, and S. Tesfamariam, Selection of remedial alternatives for mine sites: A multicriteria decision analysis approach, Journal of Environmental Management, vol.119, issue.119, pp.36-46, 2013.
DOI : 10.1016/j.jenvman.2013.01.024

K. J. Beven and A. M. Binley, The future of distributed models: Model calibration and uncertainty prediction, Hydrological Processes, vol.28, issue.3, pp.279-298, 1992.
DOI : 10.1002/hyp.3360060305

K. J. Beven, Prophecy, reality and uncertainty in distributed hydrological modelling, Advances in Water Resources, vol.16, issue.1, pp.41-51, 1993.
DOI : 10.1016/0309-1708(93)90028-E

K. A. Boon and M. H. Ramsey, Uncertainty of measurement or of mean value for the reliable classification of contaminated land, Science of The Total Environment, vol.409, issue.2, pp.423-429, 2010.
DOI : 10.1016/j.scitotenv.2010.10.004

M. J. Broos, L. Aarts, C. F. Van-tooren, and A. Stein, Quantification of the effects of spatially varying environmental contaminants into a cost model for soil remediation, Journal of Environmental Management, vol.56, issue.2, pp.133-145, 1999.
DOI : 10.1006/jema.1999.0271

C. G. Bucher, Adaptive sampling ??? an iterative fast Monte Carlo procedure, Structural Safety, vol.5, issue.2, pp.119-126, 1988.
DOI : 10.1016/0167-4730(88)90020-3

J. H. Camacho-tamayo1, C. A. Luengas, and F. R. Leiva, Effect of Agricultural Intervention on the Spatial Variability of some Soils Chemical Properties in the Eastern Plains of Colombia, Chilean journal of agricultural research, vol.68, issue.1, pp.42-55, 2008.
DOI : 10.4067/S0718-58392008000100005

I. Chaubey, C. T. Haan, S. Grunwald, and J. M. Salisbury, Uncertainty in the model parameters due to spatial variability of rainfall, Journal of Hydrology, vol.220, issue.1-2, pp.48-61, 1999.
DOI : 10.1016/S0022-1694(99)00063-3

C. V. Deutsch, Algorithmically-defined random function models Geostatistics for the Next Century, pp.422-435, 1994.

E. Ferreira, D. Milori, E. Ferreira, R. Dasilva, and L. Martinneto, Artificial neural network for Cu quantitative determination in soil using a portable Laser Induced Breakdown Spectroscopy system, Spectrochimica Acta Part B: Atomic Spectroscopy, vol.63, issue.10, pp.1216-1220, 2008.
DOI : 10.1016/j.sab.2008.08.016

R. F. Fisher and D. Binkley, Ecology and Management of Forest Soils, 2000.
DOI : 10.1002/9781118422342

P. Goovaerts, Impact of the simulation algorithm, magnitude of ergodic fluctuations and number of realizations on the spaces of uncertainty of flow properties, Stochastic Environmental Research and Risk Assessment (SERRA), vol.13, issue.3, pp.161-182, 1999.
DOI : 10.1007/s004770050037

P. Goovaerts, Geostatistical modelling of uncertainty in soil science, Geoderma, vol.103, issue.1-2, pp.3-26, 2001.
DOI : 10.1016/S0016-7061(01)00067-2

C. A. Gotway and B. M. Rutherford, Stochastic simulation for imaging spatial uncertainty: comparison and evaluation of available algorithms, 1994.

P. K. Haan and R. W. Skaggs, Effect of parameter uncertainty on DRAINMOD predictions: I. Hydrology and yield, Trans. ASAE, vol.46, issue.4, pp.1061-1067, 2003.

P. K. Haan and R. W. Skaggs, Effect of parameter uncertainty on DRAINMOD predictions: II. Nitrogen loss, Trans. ASAE, vol.46, issue.4, pp.1069-1075, 2003.

M. Hagan, H. Demuth, and M. Beale, Neural network design, 1996.

R. Hambli, Application of Neural Networks and Finite Element Computation for Multiscale Simulation of, Bone Remodeling Journal of Biomechanical Engineering, issue.132, pp.11-114502, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00788707

R. Hambli, Numerical procedure for multiscale bone adaptation prediction based on neural networks and finite element simulation, Finite elements in analysis and design, pp.835-842, 2011.

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.

R. Hambli, K. Katerchi, and C. L. Benhamou, Multiscale methodology for bone remodelling simulation using coupled finite element and neural network computation, Biomechanics and Modeling in Mechanobiology, vol.39, issue.21???22, pp.133-178, 2011.
DOI : 10.1007/s10237-010-0222-x

URL : https://hal.archives-ouvertes.fr/hal-01087589

S. Haykin, Neural networks, a comprehensive foundation, pp.181-183, 1999.

N. Hu, Y. Luo, L. Wu, and J. Song, A Field Lysimeter Study of Heavy Metal Movement Down the Profile of Soils with Multiple Metal Pollution During Chelate-Enhanced Phytoremediation, International Journal of Phytoremediation, vol.66, issue.4, pp.257-268, 2007.
DOI : 10.1081/PLN-120005395

E. M. Johansson, F. U. Dowla, and D. M. Goodman, BACKPROPAGATION LEARNING FOR MULTILAYER FEED-FORWARD NEURAL NETWORKS USING THE CONJUGATE GRADIENT METHOD, International Journal of Neural Systems, vol.02, issue.04, pp.291-301, 1992.
DOI : 10.1142/S0129065791000261

S. A. Mckenna, Geostatistical Approach for Managing Uncertainty in Environmental Remediation of Contaminated Soils: Case Study, Environmental & Engineering Geoscience, vol.IV, issue.2, pp.175-184, 1998.
DOI : 10.2113/gseegeosci.IV.2.175

M. Mench and C. Bes, Assessment of Ecotoxicity of Topsoils from a Wood Treatment Site, Pedosphere, vol.19, issue.2, pp.143-155, 2009.
DOI : 10.1016/S1002-0160(09)60104-1

P. R. Millis, M. H. Ramsey, and E. A. John, Heterogeneity of cadmium concentration in soil has implicati.ons for human health risk assessment, Sci Total Environ, vol.326, issue.29, pp.1-349, 2004.

B. Minasny and A. B. Mcbratney, The Neuro-m Method for Fitting Neural Network Parametric Pedotransfer Functions, Soil Science Society of America Journal, vol.66, issue.4, pp.352-361, 2002.
DOI : 10.2136/sssaj2002.1407a

S. M. Ogle, F. J. Breidt, M. D. Eve, and K. Paustian, Uncertainty in estimating land use and management impacts on soil organic carbon storage for US agricultural lands between 1982 and 1997, Global Change Biology, vol.52, issue.11, pp.1521-1542, 1982.
DOI : 10.1016/S0167-1987(99)00051-3

C. Oporto, E. Smolders, and C. Vandecasteele, Identifying the cause of soil cadmium contamination with Monte Carlo mass balance modelling: a case study from Potosi, Bolivia, Environmental Technology, vol.46, issue.5, pp.4-6555, 2012.
DOI : 10.1016/j.scitotenv.2007.05.029

E. J. Pebesma and G. B. Heuvelink, Latin Hypercube Sampling of Gaussian Random Fields, Technometrics, vol.28, issue.4, pp.303-312, 1999.
DOI : 10.1080/00401706.1987.10488205

S. M. Peter, Stochastic Models, Estimation, and Control, vol.1, 1979.

M. H. Ramsey, M. Thompson, and M. Hale, Objective evaluation of precision requirements for geochemical analysis using robust analysis of variance, Journal of Geochemical Exploration, vol.44, issue.1-3, pp.23-36, 1992.
DOI : 10.1016/0375-6742(92)90046-B

M. H. Ramsey and A. Argyraki, Estimation of measurement uncertainty from field sampling: implications for the classification of contaminated land, Science of The Total Environment, vol.198, issue.3, pp.243-57, 1997.
DOI : 10.1016/S0048-9697(97)05456-9

M. H. Ramsey, P. D. Taylor, and J. C. Lee, Optimized contaminated land investigation at minimum overall cost to achieve fitness-for-purpose, Journal of Environmental Monitoring, vol.4, issue.5, pp.809-814, 2002.
DOI : 10.1039/b203096a

M. H. Ramsey, Uncertainty in the assessment of hazard, exposure and risk, Environmental Geochemistry and Health, vol.4, issue.2, pp.205-217, 2009.
DOI : 10.1007/s10653-008-9211-8

M. H. Ramsey and K. A. Boon, New Approach to Geochemical Measurement: Estimation of Measurement Uncertainty from Sampling, rather than an Assumption of Representative Sampling, Geostandards and Geoanalytical Research, vol.127, issue.3, pp.293-304, 2010.
DOI : 10.1111/j.1751-908X.2010.00104.x

S. Sauvé, 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, 2000.
DOI : 10.1021/es9907764

R. W. Scholz and U. Schnabel, Decision making under uncertainty in case of soil remediation, Journal of Environmental Management, vol.80, issue.2, pp.132-147, 2006.
DOI : 10.1016/j.jenvman.2005.08.020

U. Schnabel, O. Tietje, and R. W. Scholz, Uncertainty Assessment for Management of Soil Contaminants with Sparse Data, Environmental Management, vol.33, issue.6, pp.911-925, 2004.
DOI : 10.1007/s00267-003-2971-0

Z. M. Souza, J. De, G. T. Marques-júnior, D. M. Pereira, and . Barbieri, Small relief shape variations influence spatial variability of soil chemical attributes, Scientia Agricola, vol.63, issue.2, pp.161-168, 2006.
DOI : 10.1590/S0103-90162006000200008

J. Song, F. Zhao, Y. Luo, S. Mcgrath, and H. Zhang, Copper uptake by Elsholtzia splendens and Silene vulgaris and assessment of copper phytoavailability in contaminated soils, Environmental Pollution, vol.128, issue.3, pp.307-315, 2004.
DOI : 10.1016/j.envpol.2003.09.019

M. R. Srivastava, H. T. Mowrer, R. L. Czapleweski, and R. Hamre, An overview of stochastic spatial simulation, Spatial Accuracy Assessment in Natural Resources ? . and Environmental Sciences: Second International Symposium, pp.13-22, 1996.

X. Wang, X. He, J. R. Williams, R. C. Izaurralde, and J. D. Atwood, SENSITIVITY AND UNCERTAINTY ANALYSES OF CROP YIELDS AND SOIL ORGANIC CARBON SIMULATED WITH EPIC, Transactions of the ASAE, vol.48, issue.3, pp.1041-1054, 2005.
DOI : 10.13031/2013.18515

J. Weber, A. Karczewska, J. Drozd, M. Licznar, S. Licznar et al., Agricultural and ecological aspects of a sandy soil as affected by the application of municipal solid waste composts, Soil Biology and Biochemistry, vol.39, issue.6, pp.1294-1302, 2007.
DOI : 10.1016/j.soilbio.2006.12.005

L. P. Weng, E. J. Temminghoff, S. Lofts, E. Tipping, and W. H. Van-riemsdijk, Complexation with Dissolved Organic Matter and Solubility Control of Heavy Metals in a Sandy Soil, Environmental Science & Technology, vol.36, issue.22, pp.4804-4810, 2002.
DOI : 10.1021/es0200084