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水文系统复杂性的统计测度 被引量:23

A statistical measure of complexity in hydrological systems
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摘要 本文提出了一种能够从系统可达状态的宏观概率层次和状态内部微观层次上的变化共同描述水文系统复杂性的定量方法.提出的方法用水文要素的信息熵、非平衡度、复杂度来描述水文系统的复杂性,是一种以物理概念为基础、传统的概率统计学方法与非线性科学方法相结合的方法,可有效地识别水文系统的复杂性,并有可能通过水文系统的复杂性与信息维等分形与混沌特征量间的联系,用传统的统计学方法来研究水文系统的分形与混沌特征. In this paper, the essential concept on the complexity in hydrological systems and its difference from the complexity in general physical systems are described. A method to quantify the complexity in hydrological systems from both the probabilistic macro hierarchy of accessible states of the systems and micro hierarchy inside the states is developed. The complexity in hydrological systems is quantified by a degree of hydrological complexity as a product of information entropy and hydrological dis equilibrium. The degree of the complexity is a combination of probability, statistics and non linear theory, and may be adopted as a statistical measure of the complexity in hydrological systems. The method can be effectively used to identify the complexity in hydrological systems and to describe fractal and chaotic features in the systems by traditional probabilistic and statistical methods due to the connection of the complexity and information dimension.
出处 《水利学报》 EI CSCD 北大核心 1998年第11期76-80,F003,共6页 Journal of Hydraulic Engineering
基金 陕西省自然科学基金
关键词 水文系统 复杂性 统计测度 复杂度 hydrological system, complexity, statistical measure, degree of dis equilibrium, degree of complexity, information entropy, macro hierarchy, micro hierarchy.
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