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Aggressive space mapping for optimisation of a marine ecosystem model
by M. Prieß T. Slawig
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 3, No. 1/2, 2012
Abstract: We apply the aggressive space mapping (ASM) algorithm to parameter optimisation of a one-dimensional marine ecosystem model. Such models are important to calculate the global carbon cycle and specifically the oceanic CO2 uptake. The aim of the optimisation is to find model parameters that minimise the misfit between model output and observational data. ASM first solves for an optimum of a computationally cheaper low-fidelity model that in our case is based on a coarser time discretisation while still guaranteeing numerical stability. Secondly, an approximate optimum of the high-fidelity model is iteratively found by a parameter mapping applying a Quasi-Newton method and Broyden update. The applicability of the ASM technique to the problem is verified by using synthetic target data. Results are compared to those of the direct high-fidelity model optimisation. We show that a very reasonable solution can be obtained while yielding a significant reduction in the total optimisation cost.
Online publication date: Wed, 04-Jan-2012
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