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Given multiple images that describe chaotic reaction-diffusion dynamics,parameters of a PDE model are estimated using autosynchronization, whereparameters are controlled by synchronization of the model to the observed data.A two-component system of predator-prey reaction-diffusion PDEs is used withspatially dependent parameters to benchmark the methods described. Applicationsto modelling the ecological habitat of marine plankton blooms by nonlinear dataassimilation through remote sensing is discussed.

Spatially Dependent Parameter Estimation and Nonlinear Data Assimilation by Autosynchronization of a System of Partial Differential Equations