On the problem of data assimilation by means of synchronization | Zendy

Szendro Ivan G. | Zendy; Rodríguez Miguel A. | Zendy; López Juan M. | Zendy

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On the problem of data assimilation by means of synchronization

Author(s) -

Szendro Ivan G.,

Rodríguez Miguel A.,

López Juan M.

Publication year - 2009

Publication title -

journal of geophysical research: atmospheres

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.67

H-Index - 298

eISSN - 2156-2202

pISSN - 0148-0227

DOI - 10.1029/2009jd012411

Subject(s) - data assimilation , logarithm , synchronization (alternating current) , assimilation (phonology) , computer science , phase synchronization , amplitude , transformation (genetics) , diagram , mathematics , algorithm , statistics , topology (electrical circuits) , physics , mathematical analysis , meteorology , linguistics , philosophy , biochemistry , chemistry , combinatorics , quantum mechanics , gene

The potential use of synchronization as a method for data assimilation is investigated in a Lorenz96 model. Data representing the reality are obtained from a Lorenz96 model with added noise. We study the assimilation scheme by means of synchronization for different noise intensities. We use a novel plot representation of the synchronization error in a phase diagram consisting of two variables: the amplitude and the width of the error after a suitable logarithmic transformation (the so‐called mean‐variance of logarithms diagram). Our main result concerns the existence of an “optimal” coupling for which the synchronization is maximal. We finally show how this allows us to quantify the degree of assimilation, providing a criterion for the selection of optimal couplings and validity of models.

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