Power spectrum analysis to investigate monthly precipitation Scalability of 33 rain gauge stations in Iran

Precipitation with multiple time scales is considered as one of the most important parameters in water resources studies. Precipitation with different time scales can be expressed with fractal nature. One of the standard tools in the fractal investigation of hydrological processes is the power spectrum method. In this method, the power spectrum is calculated with transmitted observation from time space to frequency space. When all or a part of the spectral follow the power functions, the data in this power range will have fractal properties. In this study, the power spectrum of monthly precipitation of the 33 rain gauge stations in Iran was analyzed and scaling regimes with spectral exponent value are shown for each station. The results indicate that 81 percent of the stations have fractal nature and scaling properties in a period less than one year. In addition to the first scaling regime, 17 stations have second scaling regime and 3 stations have the third scaling regime. None of the stations in its second scaling regime have fractal nature and only one station in the third scaling regime has fractal nature.Precipitation with multiple time scales is considered as one of the most important parameters in water resources studies. Precipitation with different time scales can be expressed with fractal nature. One of the standard tools in the fractal investigation of hydrological processes is the power spectrum method. In this method, the power spectrum is calculated with transmitted observation from time space to frequency space. When all or a part of the spectral follow the power functions, the data in this power range will have fractal properties. In this study, the power spectrum of monthly precipitation of the 33 rain gauge stations in Iran was analyzed and scaling regimes with spectral exponent value are shown for each station. The results indicate that 81 percent of the stations have fractal nature and scaling properties in a period less than one year. In addition to the first scaling regime, 17 stations have second scaling regime and 3 stations have the third scaling regime. None of the stations in its second scaling regime have fractal nature and only one station in the third scaling regime has fractal nature.Precipitation with multiple time scales is considered as one of the most important parameters in water resources studies. Precipitation with different time scales can be expressed with fractal nature. One of the standard tools in the fractal investigation of hydrological processes is the power spectrum method. In this method, the power spectrum is calculated with transmitted observation from time space to frequency space. When all or a part of the spectral follow the power functions, the data in this power range will have fractal properties. In this study, the power spectrum of monthly precipitation of the 33 rain gauge stations in Iran was analyzed and scaling regimes with spectral exponent value are shown for each station. The results indicate that 81 percent of the stations have fractal nature and scaling properties in a period less than one year. In addition to the first scaling regime, 17 stations have second scaling regime and 3 stations have the third scaling regime. None of the stations in its second scaling regime have fractal nature and only one station in the third scaling regime has fractal nature.Precipitation with multiple time scales is considered as one of the most important parameters in water resources studies. Precipitation with different time scales can be expressed with fractal nature. One of the standard tools in the fractal investigation of hydrological processes is the power spectrum method. In this method, the power spectrum is calculated with transmitted observation from time space to frequency space. When all or a part of the spectral follow the power functions, the data in this power range will have fractal properties. In this study, the power spectrum of monthly precipitation of the 33 rain gauge stations in Iran was analyzed and scaling regimes with spectral exponent value are shown for each station. The results indicate that 81 percent of the stations have fractal nature and scaling properties in a period less than one year. In addition to the first scaling regime, 17 stations have second scaling regime and 3 stations have the third scaling regime. None of the stations in its second scaling regime have fractal nature and only one station in the third scaling regime has fractal nature.