Based on the precipitation data from 128 stations in Yunnan Province and the drought-affected area data in the province from 1961 to 2021, an analytical model of drought duration, drought intensity and drought-affected area rate was constructed using the principle of maximum entropy and the 3-dimensional Copula function. The results show that the distribution functions of drought duration, drought intensity and drought area rate can be well derived based on the maximum entropy principle, and pass the K-S distribution test. The calculation results of drought characteristics in Yunnan Province show that the mean values of drought duration, drought intensity and drought area rate are 5.7 months, 3.1 and 0.12, respectively. Among the three Archimedean Copula, the calculation results of Gumbel are relatively better, which is more suitable to be used in the construction of distribution functions. The level of drought duration and drought intensity of 3 to 4 are the main reasons for the drought area rate greater than 0.18.

Shen Yurun, Huang Haiyue, Wang Junhao, Zuo Dongdong. Analysis of Drought Characteristics Based on 3-dimensional Copula Function in Yunnan Province. Academic Journal of Mathematical Sciences (2024) Vol. 5, Issue 3: 52-59. https://doi.org/10.25236/AJMS.2024.050308.

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