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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/gmd-2019-289
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-2019-289
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: methods for assessment of models 19 Nov 2019

Submitted as: methods for assessment of models | 19 Nov 2019

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This discussion paper is a preprint. It is a manuscript under review for the journal Geoscientific Model Development (GMD).

The Sailor diagram. An extension of Taylor’s diagram to two-dimensional vector data

Jon Sáenz1,2, Sheila Carreno-Madinabeitia3, Ganix Esnaola4,2, Santos J. González-Rojí5,6, Gabriel Ibarra-Berastegi7,2, and Alain Ulazia8 Jon Sáenz et al.
  • 1Dept. Applied Physics II, Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU), Barrio Sarriena s./n., 48940-Leioa, Spain
  • 2Joint Research Unit BEGIK, Instituto Español de Oceanografía (IEO)-Universidad del País Vasco/Euskal HerrikoUnibertsitatea (UPV/EHU), Plentziako Itsas Estazioa, Areatza Pasealekua, 48620-Plentzia, Spain
  • 3TECNALIA, Parque Tecnológico de Álava, Albert Einstein 28, 01510 Vitoria-Gasteiz, Spain
  • 4Nuclear Engineering and Fluid Mechanics Dept., Gipuzkoako Ingeniaritza Eskola, Europa Plaza 1, 20018-Donostia, Spain
  • 5Oeschger Centre for Climate Change Research, University of Bern, 3010 Bern, Switzerland
  • 6Climate and Environmental Physics, University of Bern, 3010 Bern, Switzerland
  • 7Nuclear Engineering and Fluid Mechanics Dept., Escuela de Ingeniería de Bilbao, Plaza Ingeniero Torres Quevedo 1, 48013-Bilbao, Spain
  • 8Nuclear Engineering and Fluid Mechanics Dept., Gipuzkoako Ingeniaritza Eskola, Otaola etorbidea 29, 20600-Eibar, Spain

Abstract. A new diagram is proposed for the verification of vector quantities generated by multiple models against a set of observations. It has been designed with the idea of extending the Taylor diagram to two dimensional quantities such as currents, wind, or horizontal fluxes of water vapour, salinity, energy and other geophysical variables. The diagram is based on the analysis of the two-dimensional structure of the mean squared error matrix between model and observations. This matrix is separated in a part corresponding to the bias and the relative rotation of the empirical orthogonal functions of the data. We test the performance of this new diagram to identify the differences amongst the reference dataset and the different model outputs by using examples with wind, current, vertically integrated moisture transport and wave energy flux time series. An alternative setup is shown in the last examples, where the spatial average of surface wind in the Northern and Southern Hemispheres according to different reanalyses and realizations of CMIP5 models are compared. The examples of use of the Sailor diagram presented show that it is a tool which helps in identifying errors due to the bias or the orientation of the simulated vector time series or fields. The R implementation of the diagram presented together with this paper allows also to easily retrieve the individual diagnostics of the different components of the mean squared error.

Jon Sáenz et al.
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Jon Sáenz et al.
Data sets

SailoR: An Extension of the Taylor Diagram to Two-Dimensional Vector Data J. Sáenz, S. Carreno-Madinabeitia, S. J. González-Rojí, G. Esnaola, G. Ibarra-Berastegi, and A. Ulazia https://doi.org/10.5281/zenodo.3543717

Model code and software

SailoR: An Extension of the Taylor Diagram to Two-Dimensional Vector Data J. Sáenz, S. Carreno-Madinabeitia, S. J. González-Rojí, G. Esnaola, G. Ibarra-Berastegi, and A. Ulazia https://doi.org/10.5281/zenodo.3543717

Jon Sáenz et al.
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Short summary
A new diagram for the verification of vector variables (wind, current, etc) generated by multiple models against a set of observations is presented in this package. It has been designed as a generalization of the Taylor diagram to two dimensional quantities. It is based on the analysis of the two-dimensional structure of the mean squared error matrix between model and observations.
A new diagram for the verification of vector variables (wind, current, etc) generated by...
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