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首页> 外文期刊>Nonlinear processes in geophysics >Investigating the multifractality of point precipitation in the Madeira archipelago
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Investigating the multifractality of point precipitation in the Madeira archipelago

机译：研究马德拉群岛点降水的多重分形

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摘要

The purpose of this work is to contribute to a better understanding of the variability of precipitation in the Madeira archipelago. This archipelago is located in the Atlantic subtropical belt under the direct influence of the Azores high pressure system. It is formed by Madeira Island (728 km2) and Porto Santo Island (42 km2) and by two other groups of very small inhabited islands. The complex topography of the islands in the Madeira archipelago and their small size play a crucial role in the local precipitation regime, which is marked by high spatial variability. This paper explores the invariance of properties manifested across scales and determines the fractal and multifractal behaviour observed in the temporal structure of precipitation using daily and 10-min time series from several locations scattered over the main islands. The period covered by the precipitation records is 34 years for the daily data and almost 4 months for the 10-min data. The results show that the temporal structure of precipitation in the Madeira Archipelago exhibits scale-invariant and multifractal properties. The empirical exponent functions describing the scaling statistical properties of the precipitation intensity were characterized using multifractal parameters; these parameters are increasing our awareness of the dynamics of this process in these islands.
机译：这项工作的目的是帮助人们更好地了解马德拉群岛的降水变化。该群岛位于亚速尔群岛高压系统直接影响下的大西洋亚热带带。它由马德拉岛（728 km2）和圣港岛（42 km2）以及其他两组非常小的有人居住的岛屿组成。马德拉群岛上岛屿的复杂地形及其较小的规模在当地降水状况中起着至关重要的作用，其特点是空间变异性高。本文探讨了跨尺度显示的特性的不变性，并确定了降水时间结构中所观察到的分形和多重分形行为，这些分形和多分形行为是使用每日和10分钟的时间序列从分散在主要岛屿上的多个位置进行的。每天的降水记录涵盖的时间是34年，而10分钟的数据则覆盖了将近4个月。结果表明，马德拉群岛降水的时间结构表现出尺度不变和多重分形特征。使用多重分形参数表征了描述降水强度的比例统计特性的经验指数函数。这些参数正在提高我们对这些岛屿中这一过程动力的认识。

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