Theoretical Analysis and Optimization of Nonlinear ODE Systems for Marine Ecosystem Models

Abstract : We present the investigation of a biogeochemical marine ecosystem model used as part of the climate change research focusing on the enhanced carbon dioxid concentration in the atmosphere. Numerical parameter optimization has been performed to improve represention of observational data using data assimilation techniques. Several local minima were found but no global optimum could be identified. To detect the actual capability of the model in simulating natural systems, a theoretical analysis of the model equations is conducted. Here, basic properties such as continuity and positivity of the model equations are investigated.
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Dietmar Hömberg; Fredi Tröltzsch. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. Springer, IFIP Advances in Information and Communication Technology, AICT-391, pp.501-510, 2013, System Modeling and Optimization. 〈10.1007/978-3-642-36062-6_50〉
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Anna Heinle, Thomas Slawig. Theoretical Analysis and Optimization of Nonlinear ODE Systems for Marine Ecosystem Models. Dietmar Hömberg; Fredi Tröltzsch. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. Springer, IFIP Advances in Information and Communication Technology, AICT-391, pp.501-510, 2013, System Modeling and Optimization. 〈10.1007/978-3-642-36062-6_50〉. 〈hal-01347576〉

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