An Entropy-Based Investigation into Bivariate Drought Analysis in China
Abstract
:1. Introduction
2. Data
3. Methodology
3.1. Standardized Precipitation Index (SPI)
3.2. Definition of Drought Characteristics and Distributions
3.3. Entropy-Based Distribution
3.3.1. Shannon Entropy
3.3.2. Univariate Entropy
3.4. Copula
3.4.1. Definitions
3.4.2. Archimedean Copulas
3.4.3. Empirical Copulas
3.4.4. Copula Selection
3.4.5. Interval Probability and Return Period
4. Results
4.1. Drought Characteristic and Distribution Test
4.2. Interval Probability
4.3. Return Period
5. Discussion and Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Duration (Month) | Severity | Probability | Classification |
---|---|---|---|
0.39 | 1 | ||
0.39 | 2 | ||
0.17 | 3 | ||
0.05 | 4 |
Variables | Duration | Severity | ||
---|---|---|---|---|
Exponential | Entropy-Based | Gamma | Entropy-Based | |
Proportion | 100% | 100% | 100% | 100% |
0.141 | 0.063 | 0.051 | 0.046 | |
0.058 | 0.029 | 0.021 | 0.018 |
Copula Family | Semiempirical | Conventional | Entropy-Based | ||||||
---|---|---|---|---|---|---|---|---|---|
Clayton | 0% | 0% | 0% | 0% | 0% | 9.9% | 0% | 0% | 1.2% |
Frank | 0.6% | 0.6% | 0% | 0% | 0% | 0% | 1.9% | 1.9% | 3.7% |
Gumbel | 99.4% | 99.4% | 100% | 100% | 100% | 90.1% | 98.1% | 98.1% | 95.1% |
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Zuo, D.; Hou, W.; Hu, J. An Entropy-Based Investigation into Bivariate Drought Analysis in China. Water 2017, 9, 632. https://doi.org/10.3390/w9090632
Zuo D, Hou W, Hu J. An Entropy-Based Investigation into Bivariate Drought Analysis in China. Water. 2017; 9(9):632. https://doi.org/10.3390/w9090632
Chicago/Turabian StyleZuo, Dongdong, Wei Hou, and Jingguo Hu. 2017. "An Entropy-Based Investigation into Bivariate Drought Analysis in China" Water 9, no. 9: 632. https://doi.org/10.3390/w9090632