The Transport Matrix Method (TMM) for ocean biogeochemical simulations
The Transport Matrix Method (TMM) for ocean biogeochemical simulations
Editor(s): GMD topic editors | S. Khatiwala
Scope: The Transport Matrix Method (TMM) is a computationally efficient ``offline'' scheme for simulation of ocean biogeochemical tracers. The TMM essentially encapsulates the circulation of any ocean model, including sub-grid-scale parameterizations, as a sparse matrix, and advection-diffusion as a sequence of sparse matrix-vector products that can be efficiently carried out on modern distributed-memory computers. Simulations carried out with the TMM can potentially be orders of magnitude faster than the underlying ocean circulation model. The flexible architecture of the TMM framework also allows ``mixing and matching'' of circulations and biogeochemical models. The TMM code, various biogeochemical models, and transport matrices from different ocean models are freely available to download from

The aim of this Special Issue is to bring together under one roof papers using the TMM as the underlying simulation method. This can range from manuscripts documenting various technical aspects of the TMM framework to those describing new biogeochemical models/parameterizations and their application.

Download citations of all papers

05 May 2022
A derivative-free optimisation method for global ocean biogeochemical models
Sophy Oliver, Coralia Cartis, Iris Kriest, Simon F. B Tett, and Samar Khatiwala
Geosci. Model Dev., 15, 3537–3554,,, 2022
Short summary
29 Jun 2017
Evaluation of the transport matrix method for simulation of ocean biogeochemical tracers
Karin F. Kvale, Samar Khatiwala, Heiner Dietze, Iris Kriest, and Andreas Oschlies
Geosci. Model Dev., 10, 2425–2445,,, 2017
Short summary
09 Jan 2017
Calibrating a global three-dimensional biogeochemical ocean model (MOPS-1.0)
Iris Kriest, Volkmar Sauerland, Samar Khatiwala, Anand Srivastav, and Andreas Oschlies
Geosci. Model Dev., 10, 127–154,,, 2017
Short summary
23 Sep 2015
MOPS-1.0: towards a model for the regulation of the global oceanic nitrogen budget by marine biogeochemical processes
I. Kriest and A. Oschlies
Geosci. Model Dev., 8, 2929–2957,,, 2015
Short summary
16 Jul 2015
| Highlight paper
14C-age tracers in global ocean circulation models
W. Koeve, H. Wagner, P. Kähler, and A. Oschlies
Geosci. Model Dev., 8, 2079–2094,,, 2015
Short summary
16 Oct 2014
Methods to evaluate CaCO3 cycle modules in coupled global biogeochemical ocean models
W. Koeve, O. Duteil, A. Oschlies, P. Kähler, and J. Segschneider
Geosci. Model Dev., 7, 2393–2408,,, 2014
08 Jan 2013
Porting marine ecosystem model spin-up using transport matrices to GPUs
E. Siewertsen, J. Piwonski, and T. Slawig
Geosci. Model Dev., 6, 17–28,,, 2013
CC BY 4.0