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# Probability Analysis of the Water Table and Driving Factors Using a Multidimensional Copula Function

by 1,2,3,*, 1,3 and 1,3
1
School of Environmental Science and Engineering, Chang’an University, 126Yanta Road, Xi’an 710054, China
2
College of Science, Chang’an University, Xi’an 710064, China
3
Key Laboratory of Subsurface Hydrology and Ecological Effects in Arid Ministry of Education, Chang’an University, 126Yanta Road, Xi’an 710054, China
*
Author to whom correspondence should be addressed.
Water 2018, 10(4), 472; https://doi.org/10.3390/w10040472
Received: 27 January 2018 / Revised: 5 April 2018 / Accepted: 9 April 2018 / Published: 12 April 2018
The relationship between the water table and driving factors is a reliable theoretical reference for the reasonable planning of surface water resources and the water table. Previous research has neglected the distribution and probabilities of the water table. However, this paper analyzes the relationship between the water table and driving factors from a statistical perspective by correcting the variables and introducing the Kernel Distribution Estimation and the Copula Function. The average data of the buried depth of the phreatic water, annual irrigation volume of the surface water, and precipitation in the Jinghui Irrigation District in China from 1977 to 2013 were adopted. We precisely obtained the two-dimensional (2D) and three-dimensional (3D) Joint Distribution Function of each driving factor and the marginal distribution of the water table, calculate the conditional probability in different ranges, and exactly predict the design value of surface water irrigation giving set conditions. Eventually, we emphasize the importance of probability analysis and prediction in groundwater planning. View Full-Text
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MDPI and ACS Style

You, Q.; Liu, Y.; Liu, Z. Probability Analysis of the Water Table and Driving Factors Using a Multidimensional Copula Function. Water 2018, 10, 472. https://doi.org/10.3390/w10040472

AMA Style

You Q, Liu Y, Liu Z. Probability Analysis of the Water Table and Driving Factors Using a Multidimensional Copula Function. Water. 2018; 10(4):472. https://doi.org/10.3390/w10040472

Chicago/Turabian Style

You, Qiying; Liu, Yan; Liu, Zhao. 2018. "Probability Analysis of the Water Table and Driving Factors Using a Multidimensional Copula Function" Water 10, no. 4: 472. https://doi.org/10.3390/w10040472

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