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An Example of an Automatic Differentiation-Based Modelling System

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Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2668))

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Abstract

We present a prototype of a Carbon Cycle Data Assimilation System (CCDAS), which is composed of a terrestrial biosphere model (BETHY) coupled to an atmospheric transport model (TM2), corresponding derivative codes and a derivative-based optimisation routine. In calibration mode, we use first and second derivatives to estimate model parameters and their uncertainties from atmospheric observations and their uncertainties. In prognostic mode, we use first derivatives to map model parameters and their uncertainties onto prognostic quantities and their uncertainties. For the initial version of BETHY the corresponding derivative codes have been generated automatically by FastOpt’s automatic differentiation (AD) tool Transformation of Algorithms in Fortran (TAF). From this point on, BETHY has been developed further within CCDAS, allowing immediate update of the derivative code by TAF. This yields, at each development step, both sensitivity information and systematic comparison with observational data meaning that CCDAS is supporting model development. The data assimilation activities, in turn, benefit from using the current model version. We describe generation and performance of the various derivative codes in CCDAS, i.e. reverse scalar (adjoint), forward over reverse (Hessian) as well as forward and reverse Jacobian plus detection of the Jacobian’s sparsity.

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Author information

Authors and Affiliations

  1. FastOpt, Martinistr. 21, 20251, Hamburg, Germany

    Thomas Kaminski & Ralf Giering

  2. MPI für Meteorologie, Bundesstraβe 55, D-20146 Hamburg, Germany

    Marko Scholze

  3. CSIRO-DAR, Aspendale

    Peter Rayner

  4. MPI für Biogeochemie, Jena, Germany

    Wolfgang Knorr

Authors
  1. Thomas Kaminski
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  2. Ralf Giering
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  3. Marko Scholze
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  4. Peter Rayner
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  5. Wolfgang Knorr
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Editor information

Editors and Affiliations

  1. Army High Performance Computing Research Center, USA

    Vipin Kumar

  2. Department of Computer Science and Engineering, University of Minessota, MN, 55455, USA

    Vipin Kumar

  3. Department of Computer Science, University of Calgary, Calgary, AB, T2N1N4, Canada

    Marina L. Gavrilova

  4. Heuchera Technologies Inc., 122 9251-8 Yonge Street, Richmond Hill, ON, Canada, L4C 9T3

    Chih Jeng Kenneth Tan

  5. School of Computer Science, The Queen’s University of Belfast, Belfast, BT7 1NN, Northern Ireland, UK

    Chih Jeng Kenneth Tan

  6. Département d’informatique et de recherche opérationelle, Université de Montréal, Montréal, Québec, H3C 3J7, Canada

    Pierre L’Ecuyer

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© 2003 Springer-Verlag Berlin Heidelberg

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Kaminski, T., Giering, R., Scholze, M., Rayner, P., Knorr, W. (2003). An Example of an Automatic Differentiation-Based Modelling System. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44843-8_11

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  • DOI: https://doi.org/10.1007/3-540-44843-8_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40161-2

  • Online ISBN: 978-3-540-44843-3

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