2021
DOI: 10.1029/2020ea001513
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Modeling Joint Relationship and Design Scenarios Between Precipitation, Surface Temperature, and Atmospheric Precipitable Water Over Mainland China

Abstract: • We present a framework for modeling the joint relationship between precipitation, temperature, and precipitable water. • Birnbaum Saunders distribution was discovered for fitting precipitation in regions a and f. • We estimated copula parameters using Markov Chain Monte Carlo simulation in a Bayesian framework. • Bivariate probabilities and return periods in distinctive regions suggest tremendous variations. • Marginal distribution and copula choice could significantly impact probabilities and design return … Show more

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Cited by 10 publications
(6 citation statements)
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References 88 publications
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“…The parameters of the copula function are estimated based on the maximum likelihood method [56]. Further, RMSE and Akaike information criterion (AIC) are adopted to optimize the copula function [57], and the corresponding formulas are as follows: Clayton-copula, Frank-copula, Gumbel-copula, Gaussian-copula, and t-copula were selected to construct joint distribution models, and their expressions are shown in Table 2. The parameters of the copula function are estimated based on the maximum likelihood method [56].…”
Section: Binary Copula Joint Distribution Functionmentioning
confidence: 99%
“…The parameters of the copula function are estimated based on the maximum likelihood method [56]. Further, RMSE and Akaike information criterion (AIC) are adopted to optimize the copula function [57], and the corresponding formulas are as follows: Clayton-copula, Frank-copula, Gumbel-copula, Gaussian-copula, and t-copula were selected to construct joint distribution models, and their expressions are shown in Table 2. The parameters of the copula function are estimated based on the maximum likelihood method [56].…”
Section: Binary Copula Joint Distribution Functionmentioning
confidence: 99%
“…Therefore, it is essential to precisely fit marginal distributions to drought variables. In this study, seven three-parameter distributions are considered [14,39,40]. Seven probability distribution functions, including Gamma, Loglogistic, Lognormal, Weibull, Pearson-III, Generalized Extreme Value, and Generalized Pareto distribution, are used to fit different drought variables.…”
Section: Copula-based Multivariable Frequency Analysis Of Drought Eve...mentioning
confidence: 99%
“…By contrast, the low probability part is poorly tted, resulting from the limited time series and the discrete durations of drought. A number of studies have also stressed the importance of joint probability, because joint probability is an important guide for the assessment of water resources systems and offers great values for drought risk assessment (Ayantobo et al, 2021;Shiau, 2006). After the marginal distribution function and copula were determined, the drought risk assessment model was employed to project the probabilities of intra-seasonal and inter-seasonal drought risk for the next 30 years (2021-2050).…”
Section: Prediction Of Hydrological Drought Risk (1) Selection Of Mar...mentioning
confidence: 99%