Multifractal Structures in Temperature and Humidity

Abstract

The multifractal structure of the temperature and the humidity is investigated in seven cities of Korea. For our cases, we estimate the generalized Hurst exponent, the Renyi exponent, and the singularity spectrum from tick data of the temperature and the humidity. We mainly discuss the different values of the scaling exponent characterizing the multifractality from the hourly data for thirty years. To analyze the multifractality of the temperature and the humidity; we compare the multifractal properties of seven cities (Gwangju, Mokpo, Busan, Seoul, Cholwon, Gangrung, and Sokcho) from our results and discuss the unusual statistical behavior of each city.