Development of the entropy theory for wind speed monitoring by using copula-based approach

The purpose of this study is to development of the entropy theory by using copula-based approach for temporal and spatial monitoring of wind speeds in the Lut Desert, Iran at Bam, Tabas and Birjand stations in the period of 1973–2020. The conventional entropy method was improved by the two methods. In the first method, vine copulas were used to evaluate the interaction between the stations. At the second method, in addition to the first method, a 2-D copula function was used to analyze the joint frequency and conditional occurrence probability. In the first method, A D-vine copula was selected to simulate the wind speed at each station according to the wind speed at the other stations. In the second method, Frank copula function was used to joint probability analysis. The results of comparing the information transfer index in the two methods and the conventional entropy method showed that the percentage increase of this index in the first method at the Bam, Birjand and Tabas stations compared to the conventional entropy method is 25, 0 and 23%, respectively. This increase in the second method compared to the conventional entropy method at the mentioned stations is 24, 10 and 33%, respectively.