Hydrological station network optimization model based on Copula entropy

Abstract

The invention discloses a hydrological station network optimization model based on Copula entropy. The model comprises the steps of optimization of a Copula function, calculation of an information transfer value and recombination and optimization of a station network; based on organic combination of a Copula function theory and an information entropy principle, with replacing traditional mutual information amount with Copula entropy being main improvement, and combining a distance amount among station pairs, a basic evaluation index of an information transfer strength amount among stations is provided, and a determination method of an information transfer amount average index (AI) and a threshold value range is creatively provided to conduct station network combination on a potential station network again. According to the hydrological station network optimization model based on the Copula entropy, the Copula entropy is well exerted in evaluation of the hydrological station network, the limitation of joint probability density function estimation between the station pairs is well solved, the information transfer amount among the station pairs is quantitatively described, the station network is objectively evaluated and optimized, and the model has reasonability and effectiveness.

Description

technical field [0001] The invention relates to hydrological station network technology, in particular to a hydrological station network optimization model based on Copula entropy. Background technique [0002] A hydrological station is a grass-roots hydrological institution set up on a river or a river basin, mainly used for observation and collection of hydrological and meteorological data related to water bodies such as rivers, lakes and reservoirs. The work on hydrological laws provides sufficient data support, which largely meets the basic needs of hydrological forecasting, hydrological information, water resources evaluation and water science research. Therefore, a well-planned hydrological station network can fully reflect the characteristics of hydrological spatio-temporal variation, so that accurate and detailed hydrological information can be collected. It is obviously necessary to explore more objective theoretical methods to support the reasonable planning of hyd...

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Problems solved by technology

[0003] 1. Mathematical statistics method, which is the earliest application, but requires researchers to have sufficient understanding of the structure of water resources systems; at the same time, limited by the principles of mathematical statistics, the choice of statistical analysis techniques and the number of samples will affect the conclusions of data analysis and this method can only determine the number of sites by estimating the relationship between the accuracy and the number of samples, which fails to achieve the purpose of optimizing the spatial layout of the sites

[0004] 2. The kriging interpolation method requires subjective evaluation of the improvement of the estimation error of hydrological variables on the map. If the standard deviation of the estimation error is greater than the given standard deviation range, additional stations need to be added in the space, otherwise, the number of stations should be reduced. , the subjectivity of this method is relatively high in practical applications, and the accuracy is not high enough

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