Probability Distribution of Tidal Elevation Data around Korean Coasts

Abstract:

Frequency information of tidal elevations in the coastal zone is essential for the determination of datum level, the classification of inhabitation zones, and the analysis of mean sea level variation. In this study, the non-parametric density function is suggested for the analysis of hourly tidal elevation data provided by the Korea Hydrographic and Oceanographic Administration. The density function was estimated for six principal locations, Incheon, Mokpo, Jeju, Yeosu, Busan, and Pohang in the Korean coastal area using a kernel function. The parameter required for the probability density function was optimally estimated with the Sheather and Jones (SJ). And the optimal parameter appropriate for the normal distribution function was about 30% higher than that predicted by the SJ method or the Cross Validation (CV) method. It can be seen that the final kernel functions were less affected. The smoothing parameters for all of the tidal elevation data were optimized to be in the range of 0.13-0.17 with the SJ method. From the normality test of the observed tidal elevation data, it was proposed that the hypothesis of a normal distribution was inappropriate in the test techniques with a 95% significance level.

• Periodical: Applied Mechanics and Materials (Volumes 284-287)
• Pages: 1484-1488
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.284-287.1484
• Online since: January 2013
• Authors: Hong Yeon Cho, Shin Taek Jeong, Dong Hui Ko, Sang Ho Lee
• Keywords: Kernel Density Function, Normality Test, Smoothing Parameter, Tidal Elevation

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