Parameter identification in climate models using surrogate-based optimization

  • Authors:
  • M. Prieß;J. Piwonski;S. Koziel;T. Slawig

  • Affiliations:
  • Institute for Computer Science, Cluster The Future Ocean, Christian-Albrechts Universität zu Kiel, Kiel, Germany;Institute for Computer Science, Cluster The Future Ocean, Christian-Albrechts Universität zu Kiel, Kiel, Germany;Engineering Optimization and Modeling Center, School of Science and Engineering, Reykjavik University, Reykjavik, Iceland;Institute for Computer Science, Cluster The Future Ocean, Christian-Albrechts Universität zu Kiel, Kiel, Germany

  • Venue:
  • Journal of Computational Methods in Sciences and Engineering - Special issue on Advances in Simulation-Driven Optimization and Modeling
  • Year:
  • 2012

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Abstract

We present initial steps and first results of a surrogate-based optimization (SBO) approach for parameter optimization in climate models. In SBO, a computationally cheap, but yet reasonably accurate representation of the original high-fidelity (or fine) model, the so-called surrogate, replaces the fine model in the optimization process. We choose two representatives, namely two marine ecosystem models, to verify our approach. We present two ways to obtain a physics-based low-fidelity (or coarse) model one based on a coarser time discretization, the other on an inaccurate fixed point iteration. Since in both cases, the low-fidelity model is less accurate, we use a multiplicative response correction technique, aligning the low-and the high-fidelity model output to obtain a reliable surrogate at the current iterate in the optimization process. We verify the approach by using model generated target data. We show that the proposed SBO method leads to a very satisfactory solution at the cost of a few evaluations of the high-fidelity model only.