LAMBERT Guerlain
Sequential Metamodeling Approach and Sensitivity Analysis of Expensive Computational Codes with Correlated and Spatio-Temporal Random Variables. Application to Water and Pesticide Transfer Models in an Agricultural Context.
Supervisors: Céline Helbert (University of Lyon, UMR CNRS 5208, École Centrale de Lyon ICJ) and Claire Lauvernet (INRAE, UR Riverly, Diffuse Pollution)
Doctoral School: ED 512 InfoMaths, Computer Science, Mathematics, University of Lyon.

Context and General Objective

Over the decades, expensive field experimentation has been replaced by numerical simulation to understand physical phenomena and human impacts on the environment. However, numerical simulation has become complex due to the modeling of physical phenomena. To simplify, the problem’s dimension is reduced by identifying non-influential input parameters. A statistical model, called a metamodel, is then created from selected simulations to replace the computational code. This metamodel is used to prioritize the influence of input parameters and aid in decision-making in uncertain scenarios. The thesis aims to adapt these approaches for correlated inputs and proposes a sequential, computation-efficient method for building accurate metamodels, applied to pesticide transfer hydrological models to facilitate their use by non-modelers.

Lambert-Fig1
Figure 1: Example of a sensitivity analysis approach for a computational code. © Guerlain LAMBERT

More Specifically...

The methodology will first be tested on toy models and then on an operational model developed within Riverly, the BUVARD-MES grass strip sizing model, which couples water, sediment, and pesticide transfer within a grass strip (Figure 2, Lauvernet and Helbert, 2020; Carluer et al., 2017). A first phase of the thesis has focused on developing a sampling method that accounts for dependencies between input parameters of the BUVARD-MES model (Lambert et al.). The subsequent steps will explore the second objective described in Figure 1.

Lambert-Fig2
Figure 2: BUVARD_MES model and its sub-models, with inputs for climate, soil, vegetation properties of the fields and VFSs. The group of Van Genuchten-dependent parameters is indicated by a brace.

Funding

PhD Scholarship: École Centrale de Lyon, working environment: Water4All’s AQUIGROW project (Horizon Europe Program Grant 101060874), and the academic-business consortium CIROQUO.

References