STUDY OF CHAOTIC NATURE OF DAILY WATER LEVEL FLUCTUATIONS IN URMIA LAKE

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HASSANZADEH Y.; AALAMI M.T.; FARZIN S.; SHEIKHOLESLAMI S.R.; HASSANZADEH E.

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Paper Information

Journal: JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING (UNIVERSITY OF TABRIZ) Year:2012 | Volume:42 | Issue:1 (66) Page(s): 9-20

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Title

STUDY OF CHAOTIC NATURE OF DAILY WATER LEVEL FLUCTUATIONS IN URMIA LAKE

Author(s)

Keywords

URMIA LAKE

WATER LEVEL FLUCTUATIONS

CHAOS THEORY

EMBEDDING DIMENSION

LYAPUNOV EXPONENT

Abstract

Chaos theory studies complex and nonlinear dynamic systems and phenomena that their behavior seems to be stochastic and irregular at first glance, but in fact these systems are ruled by certain laws and with a deeper look, a kind of periodicity and regularity are evident in them. Sensitivity to initial conditions starting behavior, instability, non-linearity and non-periodic behavior, define a chaotic system. In addition, in chaotic hydrological systems, the short term time series can be extracted through analysis of long term time series. Furthermore, Information and relationships of the system can be achieved without any need to find the rules and governing dynamic relationships. Since the lakes WATER LEVEL FLUCTUATIONS are dynamic and management of these ecosystems requires exact data at different intervals, CHAOS THEORY can play a unique role in acquiring information from this phenomenon. In recent years, URMIA LAKE water level as an international wetland has been significantly reduced. Considering to the importance of this lake in Iran and the world, the purpose of this paper is to study the daily fluctuations in the URMIA LAKE water level during the past 44 years using the concepts of CHAOS THEORY. To study the chaotic behavior of this phenomenon, correlation function, which is one of the exact methods to study these behaviors, was used; therefore, after computing the delay time and reconstructing the phase space, EMBEDDING DIMENSION is determined using correlation function and false nearest neighbor algorithm, eventually correlation graph’s slope is calculated. The non-integer digit result for this slope is an important index to identify this system as a chaotic system. In addition, studying the other indexes of chaotic behavior of water level such as positive LYAPUNOV EXPONENT and broad band Fourier power spectrum show the quite chaotic behavior of time series studied.

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APA: Copy

HASSANZADEH, Y., AALAMI, M.T., FARZIN, S., SHEIKHOLESLAMI, S.R., & HASSANZADEH, E.. (2012). STUDY OF CHAOTIC NATURE OF DAILY WATER LEVEL FLUCTUATIONS IN URMIA LAKE. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING (UNIVERSITY OF TABRIZ), 42(1 (66)), 9-20. SID. https://sid.ir/paper/340438/en

Vancouver: Copy

HASSANZADEH Y., AALAMI M.T., FARZIN S., SHEIKHOLESLAMI S.R., HASSANZADEH E.. STUDY OF CHAOTIC NATURE OF DAILY WATER LEVEL FLUCTUATIONS IN URMIA LAKE. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING (UNIVERSITY OF TABRIZ)[Internet]. 2012;42(1 (66)):9-20. Available from: https://sid.ir/paper/340438/en

IEEE: Copy

Y. HASSANZADEH, M.T. AALAMI, S. FARZIN, S.R. SHEIKHOLESLAMI, and E. HASSANZADEH, “STUDY OF CHAOTIC NATURE OF DAILY WATER LEVEL FLUCTUATIONS IN URMIA LAKE,” JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING (UNIVERSITY OF TABRIZ), vol. 42, no. 1 (66), pp. 9–20, 2012, [Online]. Available: https://sid.ir/paper/340438/en

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