Application of pqEDMD for modeling open raceway ponds

Extended Dynamic Mode Decomposition (EDMD) has received increasing attention in the last decade, but neural networks remain the most popular approach to the data-driven representation of biochemical processes in the published literature. This study explores the potential of pqEDMD—a variant of EDMD using a reduced set of orthogonal polynomials—to approximate the dynamics of a complex system, i.e., a raceway pond for the biological treatment of wastewater and the production of algal biomass. We carefully discuss the main ingredients of the method, and illustrate the performance of the method with numerical results, showing promising prospects.