Iterative convolution particle filtering for nonlinear parameter estimation and data assimilation with application to crop yield prediction

Yuting Chen (1) , Samis Trevezas (1) , Paul-Henry Cournède (1)

1 MAS - Mathématiques Appliquées aux Systèmes - EA 4037

The complexity of plant growth models and the scarcity of experimental data make the application of conventional data assimilation techniques rather difficult. In this paper, we use the Convolution Particle Filter (CPF) and an iterative adaptation, the Iterative Convolution Particle Filter (ICPF) for nonlinear parameter estimation. Both methods provide prior distributions in the Bayesian framework for data assimilation. CPF is sequentially used to update state and parameter estimates in order to improve model prediction and to assess the predictive uncertainty. The predictive performances of the two methods are evaluated by an application to the LNAS sugar beet growth model with three sets of real measurements, one used for parameter estimation and the two others used to test the model predictive capacity, both with and without data assimilation. Despite the low accuracy and the scarcity of the early data used for assimilation, the CPF-based data assimilation approach with the prior distribution based on ICPF estimations showed promising predictive capacities and provided robust confidence intervals. The method can therefore be considered as a potential candidate for yield prediction applications in agriculture.

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Yuting Chen, Samis Trevezas, Paul-Henry Cournède. Iterative convolution particle filtering for nonlinear parameter estimation and data assimilation with application to crop yield prediction. Society for Industrial and Applied Mathematics (SIAM): Control & its Applications 2013, Jul 2013, San Diego, United States. pp.CHEN, ⟨10.1137/1.9781611973273.10⟩. ⟨hal-00826052⟩