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11 IMSC Session Program<br />

The MVL diagram: A diagnostic tool to characterize ensemble<br />

simulations<br />

Thursday - Poster Session 1<br />

J. Fernández 1 , S. Herrera 2 , J.M. Gutiérrez 2 and M.A. Rodríguez 2<br />

1 Universidad de Cantabria, Spain<br />

2 Instituto de Física de Cantabria, Spain<br />

This work illustrates the usefulness of some recent spatiotemporal analysis tools in the<br />

field of weather and climate simulation. To this aim we present a recent<br />

characterization of spatiotemporal error growth (the so called mean-variance<br />

logarithmic (MVL) diagram, Primo et al. 2005, Gutiérrez et al. 2008). Behind a<br />

simple calculation procedure, the MVL diagram comes from a sound theoretical basis<br />

borrowed from the growth of rough interfaces (López et al. 2004), and has several<br />

applications as a diagnostic tool in the characterization of ensemble prediction<br />

systems. Namely, it is useful in characterizing (1) the initial perturbations applied in a<br />

simulation, (2) the model dynamics, acting as a fingerprint for different models and<br />

(3) the climatological fluctuations of the perturbations specific of each model. As<br />

opposite to the standard temporal analysis (spatially-averaged or single-point), the<br />

MVL spatiotemporal analysis accounts for the nontrivial localization of fluctuations,<br />

thus allowing disentangling the effects of the different initialization procedures<br />

(random, lagged, singular vectors) and the different model formulations.<br />

We show an application of this diagram using a coupled ocean-atmosphere Ensemble<br />

Prediction System (Fernández et al. 2009); in particular we consider the DEMETER<br />

multimodel seasonal hindcast and focus on both initial conditions (three different<br />

perturbation procedures) and model errors (seven coupled GCMs). We show that the<br />

shared building blocks of the GCMs (atmospheric and ocean components) impose<br />

similar dynamics among different models and, thus, contribute to poorly sampling the<br />

model formulation uncertainty. We also illustrate how multiple scales in dynamical<br />

systems impose non-trivial effects on the growth of perturbations.<br />

Abstracts 270

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