한반도 연안 주요 조위관측소 조위자료를 선정하여 확률분포 측면에서 분석을 수행함으로써 조위 특성 및 통계적인 매개변수들을 분석하였다. 조석현상이 우세한 인천과 군산 자료의 조위확률 분포는 HWONT와 LWONT에서 2개의 대칭형 첨두형태를 보이고, 목포 자료의 경우 비대칭형 첨두형태를 보이고 있다. 반면에 제주, 여수, 부산 자료의 경우 편평한 첨두형태를 보이고, 포항, 속초 자료의 경우 1개의 첨두형태를 보이고 있다. 본 연구에서 노출과 침수 관계식으로 제안한 6개의 매개변수를 가진 가우스 혼합분포 모형은 정확하고, 관측결과와도 잘 일치하고 있다. ${\mu}_1$, ${\mu}_2$ 매개변수는 LWONT, HWONT와 ${\sigma}_1$, ${\sigma}_2$ 매개변수는 평균조차와 밀접하다. ${\mu}_1$, ${\mu}_2$는 제안한 확률분포의 최빈값에 해당한다.
한반도 연안 주요 조위관측소 조위자료를 선정하여 확률분포 측면에서 분석을 수행함으로써 조위 특성 및 통계적인 매개변수들을 분석하였다. 조석현상이 우세한 인천과 군산 자료의 조위확률 분포는 HWONT와 LWONT에서 2개의 대칭형 첨두형태를 보이고, 목포 자료의 경우 비대칭형 첨두형태를 보이고 있다. 반면에 제주, 여수, 부산 자료의 경우 편평한 첨두형태를 보이고, 포항, 속초 자료의 경우 1개의 첨두형태를 보이고 있다. 본 연구에서 노출과 침수 관계식으로 제안한 6개의 매개변수를 가진 가우스 혼합분포 모형은 정확하고, 관측결과와도 잘 일치하고 있다. ${\mu}_1$, ${\mu}_2$ 매개변수는 LWONT, HWONT와 ${\sigma}_1$, ${\sigma}_2$ 매개변수는 평균조차와 밀접하다. ${\mu}_1$, ${\mu}_2$는 제안한 확률분포의 최빈값에 해당한다.
Representative tidal gauging (TG) stations are selected to cover the tidal characteristics of the Korean peninsula coastal seas, and the statistical parameters of the data are analysed from the perspective of the probability distribution at that TG station. The shape of the distribution in the Inche...
Representative tidal gauging (TG) stations are selected to cover the tidal characteristics of the Korean peninsula coastal seas, and the statistical parameters of the data are analysed from the perspective of the probability distribution at that TG station. The shape of the distribution in the Incheon and Gunsan TG stations, which are tide-dominated areas, shows two clear modes at HWONT and LWONT in the distributions, and in the Mokpo station, shows an asymmetric double peak distribution. In contrast, the frequency distribution shape shows a smoothed flat peak in the Jeju, Yeosu and Busan TG stations, and a single peak in the Pohang and Sokcho TG stations. The emersion and submersion equations suggested as the 6-parameter Gaussian mixture models in this study are accurate, and well fitted to the observed tidal elevation data. The ${\mu}_1$, ${\mu}_2$ parameters are highly correlated to the LWONT and HWONT, and the ${\sigma}_1$ and ${\sigma}_2$ parameters are also closely correlated to the mean tidal range. The ${\mu}_1$ and ${\mu}_2$ parameters coincide with the modes of the suggested probability distribution of the hourly tidal level data.
Representative tidal gauging (TG) stations are selected to cover the tidal characteristics of the Korean peninsula coastal seas, and the statistical parameters of the data are analysed from the perspective of the probability distribution at that TG station. The shape of the distribution in the Incheon and Gunsan TG stations, which are tide-dominated areas, shows two clear modes at HWONT and LWONT in the distributions, and in the Mokpo station, shows an asymmetric double peak distribution. In contrast, the frequency distribution shape shows a smoothed flat peak in the Jeju, Yeosu and Busan TG stations, and a single peak in the Pohang and Sokcho TG stations. The emersion and submersion equations suggested as the 6-parameter Gaussian mixture models in this study are accurate, and well fitted to the observed tidal elevation data. The ${\mu}_1$, ${\mu}_2$ parameters are highly correlated to the LWONT and HWONT, and the ${\sigma}_1$ and ${\sigma}_2$ parameters are also closely correlated to the mean tidal range. The ${\mu}_1$ and ${\mu}_2$ parameters coincide with the modes of the suggested probability distribution of the hourly tidal level data.
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제안 방법
The data are plotted to check for missing periods and outliers, using the MATLAB program. After that, harmonic analysis of the data is performed, and frequency distributions and emersion-submersion curves are calculated. The parameters of the probability distribution function, having a form of the Gaussian mixture function, are optimally estimated using the least square method (Cho et al.
In this study, representative TG stations are selected to cover the whole Korean coastal seas, and the statistical parameters of the data in each TG station are analyzed. The TG stations are a total of eight stations: Incheon, Gunsan, Mokpo, Jeju, Yeosu, Busan, Pohang, and Sokcho stations, as shown in Fig.
In this study, we investigate the harmonic and non-tidal constants, frequency distribution and emersion/submersion curves, using the hourly tidal data around the Korean Peninsula provided by the Korea Hydrographic and Oceanographic Administration (KHOA). The major findings of the study are as follows.
대상 데이터
In this study, representative TG stations are selected to cover the whole Korean coastal seas, and the statistical parameters of the data in each TG station are analyzed. The TG stations are a total of eight stations: Incheon, Gunsan, Mokpo, Jeju, Yeosu, Busan, Pohang, and Sokcho stations, as shown in Fig. 3, and the basic information of the data is summarized in Table 1.
kr/). The stations in operation can be classified, based on the coastal seas as six stations on the East coast, 17 stations on the South coast, and 23 stations on the West coast. Tidal elevation is continuously monitored, and these data are disseminated by using the annual tide table, ARS, Internet, and so on.
이론/모형
Parameter estimation is a non-linear optimization problem constructed by RMSE (root-mean squared error) minimization. The problem is solved by the LevenbergMarquardt method, modified by the Newton method (Bazaraa et al., 1993; Sec. 8.7). For the quantitative analysis, we compute the RMSE and R2 (coefficient of determination).
성능/효과
2) The shape of the frequency distributions of hourly tidal levels shows a distinct double peak for the semi-diurnal tides, and shows a single peak for the diurnal tides.
참고문헌 (9)
Bazaraa, M.S., Sherail, H.D., and Shetty, C.M. (1993). Nonlinear Programming: Theory and Algorithms, Second Edition, John Wiley & Sons.
Cho, H.Y., Jeong, S.T., and Oh, Y.M. (2004). Estimation of Probability Density Function of Tidal Elevation Data, Journal of Korean Society of Coastal and Ocean Engineers, 16(3), 152-161 (in Korean).
Goda, Y. and Takagi, H. (2000). A reliability design method of caisson breakwaters with optimal wave heights, Coastal Engineering Journal, 42(4), 357-387.
Korea Hydrographic and Oceanographic Administration (KHOA), Homepage http://www.khoa.go.kr (in Korean).
Martinez, W.L. and Martinez, A.R. (2005). Exploratory Data Analysis with MATLAB, Computer Science and Data Analysis Series, Chapman & Hall/CRC.
Pawlowicz, R., Beardsley, B., and Lentz, S. (2002). Classical tidal harmonic analysis including error estimates in MATLAB using T-TIDE, Computers & Geosciences, 28, 929-937.
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