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Explanation of fluctuations in water use time series
Authors:Katerina G Tsakiri  Igor G Zurbenko
Institution:1. Division of Mathematics, Science and Technology, Nova Southeastern University, 3301 College Avenue, Fort Lauderdale, Davie, FL, 33314, USA
2. Department of Biometry and Statistics, State University of New York at Albany, One University Place, Rensselaer, NY, 12144, USA
Abstract:This paper presents techniques for studying the influence of the climatic and other variables for the explanation of the water use with an example of time series in Gainesville, Florida. A statistical methodology is described for separating the different time scale components in time series of water use, namely, long term component, seasonal component, and short term component. We analyze each component separately and we prove that the temperature, precipitation, soil temperature, and relative humidity time series are the main climatic factors for the explanation of the long term, seasonal and short term component of the water use time series. Part of the residuals derived from the linear regression of the long term component of the water use can be explained by the unemployment rate. We also show that with the decomposition of the water use time series the explanation of the water use has been improved approximately two times. The explanation of the long term component of water use by the long term regional weather parameters can enable us to the long term regional prediction of the water resources availabilities. This methodology can be applied for studying the water use time series in other locations, as well.
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