Wavelet based correlation coefficient of time series of Saudi Meteorological Data |
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| Authors: | S. Rehman A.H. Siddiqi |
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| Affiliation: | 1. Center for Engineering Research, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia;2. Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia;1. Water Research Centre, School of Civil and Environmental Engineering, The University of New South Wales, Sydney, Australia;2. Bureau of Meteorology, Australia;1. Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, the Netherlands;2. Department of Mathematics and Applied Mathematics, University of Pretoria, Corner of Lynnwood Road and Roper Street, Hatfield 0083, Pretoria, South Africa;3. Department of Mathematics, CAMGSD, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal |
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| Abstract: | In this paper, wavelet concepts are used to study a correlation between pairs of time series of meteorological parameters such as pressure, temperature, rainfall, relative humidity and wind speed. The study utilized the daily average values of meteorological parameters of nine meteorological stations of Saudi Arabia located at different strategic locations. The data used in this study cover a period of 16 years between 1990 and 2005. Besides obtaining wavelet spectra, we also computed the wavelet correlation coefficients between two same parameters from two different locations and show that strong correlation or strong anti-correlation depends on scale. The cross-correlation coefficients of meteorological parameters between two stations were also calculated using statistical function. For coastal to costal pair of stations, pressure time series was found to be strongly correlated. In general, the temperature data were found to be strongly correlated for all pairs of stations and the rainfall data the least. |
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