1Faculty of Water Engineering, Department of Civil Engineering, University of Tabriz, Tabriz, Iran
2Faculty of Electrical and Computer Engineering, University of Tehran, Tehran, Iran
Abstract
Chaos theory discusses unstable and non-periodic behavior of non-linear fluctuating dynamic systems. Since evaporation level variations of lakes have a dynamic identity, chaos theory can have a unique role in collecting data of these variations. Therefore it is an important and challenging problem in the field of planning and qualitative and quantitative management of Urmia Lake to verify whether the evaporation time series are stochastic or chaotic that is discussed in the present study. In addition to introduction of different utilities of chaos theory, the monthly evaporation amounts of Urmia Lake in the past 40 years have been studied and predicted in the present research. So after calculating the delay time (T=7.5) by using average mutual information method (AMI) and embedding dimension (d=3) by using false nearest neighbor algorithm (FNN), the slope of correlation dimension diagram has been computed. The non-integer amount of the slope (2.47) represents that the system is chaotic. Lyapunov exponent and broad band in Fourier power spectrum are other indexes reported in the present study and their provided results ensures that the system is chaotic. Thus the amount of Urmia Lake evaporation is predictable. Therefore the amount of evaporation in the recent 10 years (1997-2007) have been predicted by means of false nearest neighbor algorithm and verified with the observed data. The results agree with the high accuracy of chaos theory predictions so the amount of evaporation of the Lake is predicted for 10 following years (2007-2017).
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