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Multifractal structure of the monthly rainfall regime in Catalonia (NE Spain): Evaluation of the non-linear structural complexity

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10.1063/5.0010342
 
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Lana Pons, Francisco JavierMés informacióMés informacióMés informació
Rodríguez Solá, RaúlMés informacióMés informacióMés informació
Martínez Santafé, Maria DolorsMés informacióMés informacióMés informació
Casas Castillo, M. del CarmenMés informacióMés informacióMés informació
Serra de Larrocha, CarinaMés informacióMés informacióMés informació
Kirchner Amor, RicardMés informacióMés informació
Document typeArticle
Defense date2020-07-08
PublisherInstitute of Physics (IOP)
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
The complex non-linear regime of the monthly rainfall in Catalonia (NE Spain) is analyzed by means of the reconstruction fractal theorem and the multifractal detrended fluctuation analysis algorithm. Areas with a notable degree of complex physical mechanisms are detected by using the concepts of persistence (Hurst exponent), complexity (embedding dimension), predictive uncertainty (Lyapunov exponents), loss of memory of the mechanism (Kolmogorov exponent), and the set of multifractal parameters (Hölder exponents, spectral asymmetry, spectral width, and complexity index). Besides these analyses permitting a detailed description of monthly rainfall pattern characteristics, the obtained results should also be relevant for new research studies concerning monthly amounts forecasting at a monthly scale. On one hand, the number of necessary monthly data for autoregressive processes could change with the complexity of the multifractal structure of the monthly rainfall regime. On the other hand, the discrepancies between real monthly amounts and those generated by some autoregressive algorithms could be related to some parameters of the reconstruction fractal theorem, such as the Lyapunov and Kolmogorov exponents. The monthly rainfall regime in Catalonia, NE Spain, is analyzed by means of the fractal theory with the aim of improving the knowledge about its complex physical mechanism.
CitationLana, F.J. [et al.]. Multifractal structure of the monthly rainfall regime in Catalonia (NE Spain): Evaluation of the non-linear structural complexity. "Chaos : an interdisciplinary journal of nonlinear science", 8 Juliol 2020, vol. 30, núm. 7, p. 073117:1-073117:11. 
URIhttp://hdl.handle.net/2117/327729
DOI10.1063/5.0010342
ISSN1054-1500
Publisher versionhttps://aip.scitation.org/doi/10.1063/5.0010342
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