The variability of meteorological observables is known to crucially depend on the geographical conditions and the considered spatial as well as temporal scales. In this contribution, we explicitly take the spatial dimension into account. Recent studies on this aspect have considered individual investigations of spatially distributed records from different stations, which form network structures with interesting statistical properties. However, the results of such studies are strongly influenced by the preprocessing of the time series, in the case of temperature records particularly by the applied deseasonalisation strategy. As a complementary approach, we investigate whether the interdependences between pairs of meteorological records can be used to extract additional information about the regularity of temporal variations of the regional climate and its potential change with time. As an alternative to the consideration of univariate estimates of fractal dimensions, the concept of multivariate dimension estimates is introduced. Different quantitative measures for the complexity of linear correlations are introduced and thoroughly compared. After studying the results for stationary model systems, our approach is used to characterise the variability of temperature records from 13 Japanese meteorological stations. The complexity of the complete record varies on an annual period with a larger complexity during the summer season, which is possibly related to the action of the East Asian monsoonal circulation.
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Donner, R., Sakamoto, T., Tanizuka, N. (2008). Complexity of Spatio-Temporal Correlations in Japanese Air Temperature Records. In: Donner, R.V., Barbosa, S.M. (eds) Nonlinear Time Series Analysis in the Geosciences. Lecture Notes in Earth Sciences, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78938-3_7
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