The chaotic nature of monthly rainfall in the Tabriz under climate change

Population increase, changes in land usage and industrial activitie's development have caused climate changes in different regions of the Earth. So studying these effects on rainfall process which is one of the most important components of water engineering studies. To considering ,extraordinary capabilities in chaos theory for modeling nonlinear and complex hydrological phenomena such as rainfall. In this study, monthly precipitation of Tabriz in the historical condition and climate change condition has been studied with this theory. For estimate lag time and phase state is using autocorrelation function and for chaos dimension applying correlation dimension method. Thus, the statistical period 1971-2000 as a historical period is chosen and the results of the LARS-WG model under two scenarios are (B1) and (A2) in three periods (2011-2030, 2046-2065 and 2080- 2099) as future periods. Results show historical period data with the fractal dimension of 5/96 which has a good chaotic nature. In scenario A2, three series of data, has chaotic nature and their fractal dimension is lower of historical data while in scenario B1, The three periods have stochastic behavior.