Breeding vectors and predictability in the Oxford Mars GCM

Statistics – Applications

Scientific paper

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Scientific paper

A breeding vectors approach is used to study the intrinsic predictability of the Martian atmosphere using the Oxford Mars General Circulation Model. Breeding vectors are commonly used to find dominant modes of instability in the Earth's atmosphere, usually to provide optimal initial perturbations for ensemble forecasting experiments. They are produced by adding random perturbations to an initial model state, then running both the perturbed and control models for a few hours (or whatever the length of the `breeding cycle'), after which time the size of the perturbation (the difference between the models after this amount of time) is renormalized to the initial size, where size is defined using some global `norm'. Renormalization is necessary to prevent nonlinear saturation of the instabilities of interest. The size of the initial perturbations may in fact be chosen to filter out naturally any instabilities which have fast growth factors, but which saturate at too small amplitudes for them to be important in forecasting applications. The fastest growing modes are spatially larger than those in the Earth's atmosphere. For large initial temperature perturbations (with an average size of about 5K), they peak in northern high latitudes at equinox and in the winter hemisphere at solstice, for a range of different dust loadings. The modes extend through almost the entire vertical domain at equinox, but maximum values are confined to above about 40km at solstice. For most seasons and dust loadings, however, there is little or no net growth of these perturbations during each breeding cycle (except during dusty southern summer conditions), and growth rates are quite variable. When smaller initial perturbations are used growth rates are generally increased, particularly for dusty solsticial conditions. The implications of these results for the predictability of the Martian atmosphere, and for the usage of ensemble forecasting methods on Mars, will be discussed.

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