Least Squares Techniques for Extracting Water Level Fluctuations in the Persian Gulf and Oman Sea

Document Type : Research


1 Assistant Professor, Department of Surveying and Geomatics Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran

2 Lecturer, school of Earth and Ocean Sciences, Cardiff University, Cardiff, United Kingdom

3 Ph.D. Student Department of Surveying and Geomatics Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran


Extracting the main cyclic fluctuations from sea level changes of the Persian Gulf and Oman Sea is vital for understanding the behavior of tides and isolating non-tidal impacts such as those related to climate and changes in the ocean-sea circulations. This study compares two spectral analysis methods including: Least Squares Spectral Analysis (LSSA) and Least Squares Harmonic Estimation (LSHE), to analyze satellite altimetry derived sea surface height changes of the Persian Gulf and Oman Sea. SSH data are derived from about 16 years of satellite altimetry observations (1992 to 2008), including the Topex/Poseidon and Jason-1 missions. By analyzing the real data, we extract significant tidal components in the spectrum of LSSA and LS-HE including those with the period of 62.07, 173.3, 58.71, 45.68, 88.86, 364.2 and 117.5 days, which are interpreted as Principal Lunar semi-diurnal, Luni-Solar Diurnal, Principal Solar Semi-diurnal, Principal Lunar Diurnal, GAM2, annual, Solar Diurnal periods are dominant in the level fluctuations. Moreover, some tidal components appear in the spectrum of LSSA and LS-HE, from which the Moon's semi-diurnal component  is dominant. Also, to evaluate the efficiency of these two techniques, we run three experiments in each extracted frequency from LSSA, LS-HE, and astronomical tide tables are separately used to predict the sea level in the Persian Gulf and Oman Sea for three years. The results of this prediction indicate that RMSE from LSSA, astronomical table, and LS-HE is 0.101 m, 0.093 m, and 0. 086 m, respectively. According to the results LS-HE is found a more efficient technique to analyze cyclic fluctuations from altimetry measurements.


Main Subjects

Amiri-Simkooei, A.R. and Asgari, J., 2012, Harmonic analysis of total electron contents time series: methodology and results. GPS solutions, 16(1), 77-88.
Amiri-Simkooei, A., 2007, Least-squares variance component estimation: theory and GPS applications (Doctoral dissertation, TU Delft, Delft University of Technology).
Amiri-Simkooei, A.R., Parvazi, K. and Asgari, J., 2017, Extracting tidal frequencies of the Persian Gulf and Oman Sea using multivariate least square harmonic estimation of sea level coastal height observations time series. Journal of the Earth and Space Physics, 43(1).
Amiri-Simkooei, A.R., Zaminpardaz, S. and Sharifi, M. A., 2014, Extracting tidal frequ-encies using multivariate harmonic analysis of sea level height time series, J. Geod., 88, 975-988, doi: 10.1007/s00190-014-0737-5.
Aviso and Podaac, 2008, Aviso and Podaac Users Handbook Igdr and Gdr Jason Products. Jpl D-21352, October. Smm-Mu-M5-Op-13184-Cn.
Boashash, B. and Putland, G., 2003, Polynomial Wigner-Ville Distributions and Design of High-Resolution Quadratic TFDs with Separable Kernals. In TIme-Frequency Signal Analysis and Processing: A Comprehensive Reference (pp. 3-27), Elsevier Ltd.
Cartwright, D. E., 1993, Theory of ocean tides with application to altimetry. In Satellite altimetry in geodesy and oceanography (pp. 100-141), Springer, Berlin, Heidelberg.
Chelton, D.B., Ries, J.C., Haines, B.J., Fu, L.L. and Callahan, P.S., 2001, Satellite altimetry. In International geophysics (Vol. 69, pp. 1-ii), Academic Press.
Doodson, A.T., 1954, The analysis of tidal observations for 29 days. The International Hydrographic Review, (1).
Fok, H.S., 2012, Ocean tides modeling using satellite altimetry (Doctoral dissertation, The Ohio State University).
Fu, L.L. and Cazenave, A., 2001, Satellite altimetry and earth sciences. Vol. International Geophysical Series 69.
Frappart, F., Fatras, C., Mougin, E., Marieu, V., Diepkilé, A. T., Blarel, F. and Borderies, P., 2015, Radar altimetry backscattering signatures at Ka, Ku, C, and S bands over West Africa. Physics and Chemistry of the Earth, Parts A/B/C, 83, 96-110.
Farzaneh, S. and Parvazi, K., 2018, Noise Analysis of Satellites Altimetry Observations for Improving Chart Datum within the Persian Gulf and Oman Sea. Annals of Geophysics, 61, p.42.
Khaki, M., Forootan, E., Sharifi, M. A., Awange, J. and Kuhn, M., 2015, Improved gravity anomaly fields from retracked multimission satellite radar altimetry observations over the Persian Gulf and the Caspian Sea. Geophysical Journal International, 202(3), 1522-1534.
Mahalanobis, P.C., 1936, On the generalized distance in statistics. National Institute of Science of India.
Parvazi, K., Asgari, J., Amirisimkooei, A.R. and Tajfirooz, B., 2015, Determination of difference between datum and reference ellipsoid by using of analysis of altimetry datas of Topex/Poseidon، Jason-1 and observations of coastal tide gauges. Journal of Geomatics Science and Technology, 5(1), 257-269.
Papa, F., Legrésy, B. and Rémy, F., 2003, Use of the Topex–Poseidon dual-frequency radar altimeter over land surfaces. Remote sensing of Environment, 87(2-3), 136-147.
Purser, B. H. and Seibold, E., 1973, The principal environmental factors influencing Holocene sedimentation and diagenesis in the Persian Gulf. In The Persian Gulf (pp. 1-9), Springer, Berlin, Heidelberg.
Picot, N., Case, K., Desai, S. and Vincent, P., 2003, AVISO and PODAAC User Handbook. IGDR and GDR Jason Products.SMM-MU-M5-OP-13184-CN (AVISO), JPL D-21352 (PODAAC).
Rubin, D. B., 2002, Statistical Analysis with Missing Data. ISBN: 978-0-471-18386-0.
Sharifi, M.A., Forootan, E., Nikkhoo, M., Awange, J.L. and Najafi-Alamdari, M., 2013, A point-wise least squares spectral analysis (LSSA) of the Caspian Sea level fluctuations, using Topex/Poseidon and Jason-1 observations. Advances in Space Research, 51(5), 858-873.
Tamura, Y., 1993, Additional terms to the tidal harmonic tables. In Proc. 12th Int. Symp. Earth Tides. Science Press, Bejing, 345-350.
Vaníček, P., 1969, Approximate spectral analysis by least-squares fit. Astrophysics and Space Science, 4(4), 387-391.
Vaníček, P., 1971, Further development and properties of the spectral analysis by least-squares. Astrophysics and Space Science, 12(1), 10-33.
Wu, Z., Huang, N.E. and Chen, X., 2009, The multi-dimensional ensemble empirical mode decomposition method. Advances in Adaptive Data Analysis, 1(03), 339-372.
Xi, Q. W. and HOU, T., 1987, A new complete development of the tide-generating potential for the epoch J2000. 0. Acta Geophysica Sinica, 30(4), 349-362.
Kern, M., Preimesberger, T., Allesch, M., Pail, R., Bouman, J. and Koop, R., 2005, Outlier detection algorithms and their performance in GOCE gravity field processing. Journal of Geodesy, 78(9), 509-519.
PO. DAAC., 1993, PO.DAAC Merged Geophysical Data Record Users Handbook’ JPL D-11007, November 1996.