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Shannon information entropy for assessing space-time variability of rainfall and streamflow in semiarid region

机译:香农信息熵用于评估半干旱地区降雨和径流的时空变化

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摘要

The principle of maximum entropy can provide consistent basis to analyze water resources and geophysical processes in general. In this paper, we propose to assess the space-time variability of rainfall and streamflow in northeastern region of Brazil using the Shannon entropy. Mean values of marginal and relative entropies were computed for a 10-year period from 189 stations in the study area and entropy maps were then constructed for delineating annual and seasonal characteristics of rainfall and streamflow. The Mann-Kendall test was used to evaluate the long-term trend in marginal entropy as well as relative entropy for two sample stations. High degree of similarity was found between rainfall and streamflow, particularly during dry season. Both rainfall and streamflow variability can satisfactorily be obtained in terms of marginal entropy as a comprehensive measure of the regional uncertainty of these hydrological events. The Shannon entropy produced spatial patterns which led to a better understanding of rainfall and streamflow characteristics throughout the northeastern region of Brazil. The total relative entropy indicated that rainfall and streamflow carried the same information content at annual and rainy season time scales.
机译:最大熵原理可以为分析水资源和总体地球物理过程提供一致的基础。在本文中,我们建议使用Shannon熵评估巴西东北部地区降雨和径流的时空变化。从研究区域的189个站点计算了10年期间的边际和相对熵的平均值,然后构建了熵图以描绘降雨和水流的年度和季节特征。 Mann-Kendall检验用于评估两个样本站的边际熵以及相对熵的长期趋势。降雨和径流之间存在高度相似性,尤其是在干旱季节。可以根据边际熵令人满意地获得降雨和径流的可变性,作为对这些水文事件区域不确定性的综合衡量。香农熵产生了空间格局,从而使人们更好地了解了巴西东北部地区的降雨和水流特征。总的相对熵表明,降雨和水流在每年和雨季的时间尺度上具有相同的信息含量。

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