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A Calculation Method of Water Level and Flow Relation Curve Based on Copula Function

A relationship curve and function technology, which is applied in the field of water level flow relationship curve estimation based on Copula function

Active Publication Date: 2020-07-31
江西省水利科学院
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

At present, there is no literature that introduces the Copula function into the calculation of the relationship curve of water level and flow

Method used

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  • A Calculation Method of Water Level and Flow Relation Curve Based on Copula Function
  • A Calculation Method of Water Level and Flow Relation Curve Based on Copula Function
  • A Calculation Method of Water Level and Flow Relation Curve Based on Copula Function

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Embodiment Construction

[0023] Hereinafter, the present invention will be further described through the embodiments and the accompanying drawings.

[0024] Such as Figure 1-Figure 2 As shown, a method for estimating the relationship curve of water level and flow based on the Copula function collects data on the water level and flow of the section. Based on the determination of the marginal probability distribution function, the Copula function is used to construct the joint probability distribution function of the water level and the flow, and then solve the problem. Based on the conditional probability distribution function of the flow when the water level is fixed, the relationship curve of the water level and the flow and the uncertainty analysis are calculated according to the principle of mathematical statistics. figure 1 It is the calculation flowchart of this embodiment, which is carried out according to the following steps:

[0025] 1. Collect section water level and flow data.

[0026] In this spe...

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Abstract

The invention discloses a water level flow relation curve deducing method based on the Copula function. The method comprises the following steps: collecting a section water level and flow data materials, constructing a joint probability distribution function of the water level and flow by using the Copula function based on determining an marginal probability distribution function, solving a condition probability distribution function of the flow at a specified water level, and deducing a water level flow relation curve according to the mathematical statistical principle, and performing uncertainty analysis. The water level flow relation curve deducing method has relatively high statistical theory foundation, allows the edge distribution of the water level and the flow in any form, and canalso accurately describe the nonlinear and heteroscedasticity correlation structure of the water level and the flow. In addition, a point estimation value of the flow can be obtained, the uncertaintyof model parameters and model structures can be considered more comprehensively, and a comprehensive uncertainty interval of the flow is obtained

Description

Technical field [0001] The invention belongs to the field of water conservancy engineering, and particularly relates to a method for estimating a water level-discharge relationship curve based on a Copula function. Background technique [0002] The relationship between water level and flow refers to the relationship between the water level of the river section and the corresponding flow. Because the flow measurement technology is more complicated and expensive, it is difficult to perform continuously. When hydrological data is compiled, continuous water level data is usually converted into continuous flow data. At the same time, it is also commonly used in hydrological forecasting, hydrological calculation and water management. It does the conversion between water level and flow. In addition, the corresponding flow of the highest and lowest water levels cannot be measured due to conditions. It is necessary to extend the water level according to the relationship curve of water le...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F17/18G06F113/08
Inventor 刘章君成静清许新发温天福牛娇赵楠芳
Owner 江西省水利科学院
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