Influence of the zero-rainfall on the assessment of the multifractal parameters

Abstract : Rainfall data contains numerous zero values, either real or spurious, especially at high resolution. This paper investigates how a truncation of a multifractal field affects the scaling analysis. Synthetic multifractal fields are used. The main result, which is theoretically expected and empirically observed, is that the truncated fields exhibit a multifractal phase transition for small moments. This implies an under-estimation of the multifractality index, and consequently of the extremes. This framework enables one to retrieve most of the features observed on radar data corresponding to a heavy rainfall event that occurred in September 2005 in the South of France. Finally a new technique is proposed to improve the estimation of characteristic multifractal parameters. It yields imperfect but encouraging results. © 2012 Elsevier Ltd.
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Auguste Gires, Ioulia Tchiguirinskaia, D Schertzer, S. Lovejoy. Influence of the zero-rainfall on the assessment of the multifractal parameters. Advances in Water Resources, Elsevier, 2012, 45, pp.13. ⟨10.1016/j.advwatres.2012.03.026⟩. ⟨hal-00786091⟩

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