• Title/Summary/Keyword: L-모멘트

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Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques (III) - On the Method of LH-moments and GIS Techniques - (고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정 (III) - LH-모멘트법과 GIS 기법을 중심으로 -)

  • 이순혁;박종화;류경식;지호근;신용희
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.44 no.5
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    • pp.41-53
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    • 2002
  • This study was conducted to derive the regional design rainfall by the regional frequency analysis based on the regionalization of the precipitation suggested by the first report of this project. According to the regions and consecutive durations, optimal design rainfalls were derived by the regional frequency analysis for L-moment in the second report of this project. Using the LH-moment ratios and Kolmogorov-Smirnov test, the optimal regional probability distribution was identified to be the Generalized extreme value (GEV) distribution among applied distributions. regional and at-site parameters of the GEV distribution were estimated by the linear combination of the higher probability weighted moments, LH-moment. Design rainfall using LH-moments following the consecutive duration were derived by the regional and at-site analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design rainfall were computed and compared in the regional and at-site frequency analysis. Consequently, it was shown that the regional analysis can substantially more reduce the RRMSE, RBIAS and RR in RRMSE than at-site analysis in the prediction of design rainfall. Relative efficiency (RE) for an optimal order of L-moments was also computed by the methods of L, L1, L2, L3 and L4-moments for GEV distribution. It was found that the method of L-moments is more effective than the others for getting optimal design rainfall according to the regions and consecutive durations in the regional frequency analysis. Diagrams for the design rainfall derived by the regional frequency analysis using L-moments were drawn according to the regions and consecutive durations by GIS techniques.

Source Parameters for the 9 December 2000 $M_L$ 3.7 Offshore Yeongdeok Earthquake, South Korea (2000년 12월 9일 $M_L$ 3.7 영덕 해역 지진의 지진원 상수)

  • Choi, Ho-Seon
    • Geophysics and Geophysical Exploration
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    • v.13 no.2
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    • pp.137-143
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    • 2010
  • An earthquake with local magnitude $(M_L)$ 3.7 on December 9, 2000 occurred offshore Yeongdeok area, South Korea. In case of applying Chang and Baag (2006) crustal velocity model, the epicenter is $36.4462^{\circ}N\;and\;129.9789^{\circ}E$, which belongs to the inside of the Korean Peninsula Continental Shelf. Although we use the modified model reducing crustal thickness of Chang and Baag (2006) model by 5 km considering the transition from continental crust to oceanic crust in the East Sea, the epicenter was little changed. We carried out the waveform inversion analysis to estimate focal depth and focal mechanism of this event. The focal depth is estimated to be 11 ~ 12 km. The seismic moment is estimated to be $1.0{\times}10^{15}N{\cdot}m$, and this value corresponds to the moment magnitude $(M_W)$ 3.9. The offshore Yeongdeok event including May 29, 2004 offshore Uljin one show typical thrust faulting, and the direction of P-axis is ESE-WNW. The moment magnitude estimated by the spectral analysis is 4.0, which is similar to that by the waveform inversion analysis. Average stress drop is estimated to be 3.4 MPa.

Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I) - On the Method of L-Moments - (L 및 LH-모멘트법과 지역빈도분석에 의한 가뭄우량의 추정(I) - L-모멘트법을 중심으로 -)

  • 이순혁;윤성수;맹승진;류경식;주호길
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.45 no.5
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    • pp.97-109
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    • 2003
  • This study is mainly conducted to derive the design drought rainfall by the consecutive duration using probability weighted moments with rainfall in the regional drought frequency analysis. It is anticipated to suggest optimal design drought rainfall of hydraulic structures for the water requirement and drought frequency of occurrence for the safety of water utilization through this study. Preferentially, this study was conducted to derive the optimal regionalization of the precipitation data that can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. Five homogeneous regions in view of topographical and climatological aspects were accomplished by K-means clustering method. Using the L-moment ratio diagram and Kolmogorov-Smirnov test, generalized extreme value distribution was confirmed as the best fitting one among applied distributions. At-site and regional parameters of the generalized extreme value distribution were estimated by the method of L-moments. Design drought rainfalls using L-moments following the consecutive duration were derived by the at-site and regional analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design drought rainfall derived by at-site and regional analysis in the observed an simulated data were computed and compared. In has shown that the regional frequency analysis procedure can substantially more reduce the RRMSE. RBIAS and RR in RRMSE than those of at-site analysis in the prediction of design drought rainfall. Consequently, optimal design drought rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

Estimation of design flood derived by regional frequency analysis (지역빈도분석에 의한 금강유역의 설계홍수량 산정)

  • Da Ye Kim;Seung Jin Maeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.104-104
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    • 2023
  • 최근 2017년 청주, 천안의 홍수, 2020년 용담댐 상류와 대청댐 상류의 홍수, 2022년 청주의 도시침수를 비롯한 서울 도심의 침수피해와 같은 홍수 발생은 지역의 국민들에게 막대한 재산상의 피해를 입히고 있다. 국가적 차원에서 치수의 목적을 달성하고 경제적으로 적절한 규모의 수리구조물을 설계하기 위해 하천의 주요지점에 대한 신뢰성 있는 설계홍수량의 제시는 반드시 필요한 현실에 직면해 있다. 특히 해당 지점의 수리시설물은 점빈도분석에 의한 설계홍수량을 적용하나, 관측자료가 없는 미계측 지점에 위치한 수리시설물은 지역빈도분석에 의한 설계홍수량을 산정하여 적용해야 한다. 이에 본 연구에서는 금강 유역을 대상으로 점빈도분석과 지역빈도분석에 의한 설계홍수량 결과를 비교·분석하고자 한다. 지역빈도분석을 위한 수위관측소의 선정은 금강유역 80개 수위관측소 중 장기간 연최대홍수량 자료가 있고 유량자료의 연결성 및 신뢰성이 확보된 46개수위관측소를 대상으로 하였다. 46개 수위관측소의 연최대홍수량 계열을 대상으로 동질성, 독립성 및 이상치 검정을 수행하였으며, 세 가지 검정 모두 적절한 수위 관측소 지점은 36개 지점으로 분석되었다. 36개 수위관측소의 기본통계치(평균, 표준편차, 분산, 왜곡도 및 첨예도)를 산정한 후 3변수 Gamma 분포 계열인 GEV, GLO, GPA의 확률 분포를 적용하였다. 확률 분포별 매개변수는 전산화를 통해 L-모멘트의 차수를 0~4까지 변화시켜 LH-모멘트법에 적용하였다. LH-모멘트법에 의해 산정된 확률 분포들의 매개변수를 적용하여 적합도 검정을 수행하였다. 지역빈도분석을 위해 36개 수위관측소를 K-Means clustering 방법을 통해 4개 지역으로 구분하였다. 이를 통해LH-모멘트의 적정차수와 확률 분포에 따른 점빈도분석(지점 대상)과 지역빈도분석(지역 대상) 결과인 설계홍수량을 산정하였으며, 점빈도분석과 지역빈도분석에 의해 산정된 설계홍수량간의 분석결과를 제시하였다. 본 연구를 통해 수리구조물 설계 시 안정적인 조건 제시 및 관리체계 구축에 기여하고 방재대책 수립 시 경제·사회적 요소를 반영한 합리적 방안을 제시하고자 한다.

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A Kinetic Analysis of the Lower Extremity during Walking on Three Different Stair width in Healthy Adults (성인 계단보행 시 계단 너비에 따른 하지의 운동역학적 분석)

  • Jun, Hyun-Min;Ryu, Ji-Seon
    • Korean Journal of Applied Biomechanics
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    • v.18 no.4
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    • pp.161-169
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    • 2008
  • The purpose of this study was to investigate kinetic variables of the lower extremity during walking on three different stair widths in healthy adults. Ten healthy college-aged adults($23.5{\pm}3.5$) recruited for this study. Each stairs with the same height and length(l8cm and 90cm) under the Korean Constructional Law but three different widths(26cm, 31cm and 36cm) were conducted for this study. One force plate(9286AA, Kistler Co.) was put on third stairs. One-way ANOVA was performed to find the stair width effects during stair walking and the following findings ware obtained. There was significantly decreased in ankle resultant joint moment at Pull-Up phase(p<.05) and, significantly increased in knee extension moment during mid-stance phase as stair width increase(p<.05), but there was no significance in ankle resultant joint moment was found at Forward Continuance Phase in Ascending Stair Walking and There was significantly increased in ankle resultant joint moment as stair width increase during mid-stance phase(p<.05) and no significance in knee and hip resultant moments among the stair width in descending stair walking.

Flood Frequency Analysis using L, L1 and L2-Moment Methods (L, L1 및 L2-모멘트법에 의한 홍수빈도분석)

  • Lee, Soon-Hyuk;Maeng, Sung-Jin;Ryoo, Kyong-Sik;Jee, Ho-Keun
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2001.10a
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    • pp.310-313
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    • 2001
  • This study was conducted to derive optimal design floods by Gumbel, GEV, GLO and GPA distributions for the annual maximum series at sixteen watersheds. Adequacy for the analysis of flood data used in This study was established by the tests of Independence, Homogeneity, detection of Outliers. Parameters were estimated by the Methods of L, L1 and L2-moments. Design floods obtained by Methods of L, L1 and L2-moments using Gringorten methods for plotting positions in GEV distribution were compared by the Relative Mean Errors and Relative Absolute Errors.

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Relationship Between Lodging-Related Characteristics and Field Lodging in Rice (벼 도복 관련형질과 포장도복과의 관계)

  • 임준택;권병선;정병관
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.36 no.4
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    • pp.319-323
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    • 1991
  • To determine how closely related to field lodging for several characters affecting the field lodging for several characters affecting field lodging, and to obtain the basic information for selection of lodging resistance genotype, an experiment was conducted with 10 varieties from May to Oct., 1990 at the experimental field in Sunchon Xational University. Culm length, dry weight per unit culm length (W/1), bending moment per unit culm diameter (W1/d), lodging index (L), bending load ratio (W1/P), and index of critical lodging load(W$_{s}$$^{2}$/1$^4$) were the most closely related characters to field lodging. Culm length showed highly significant positive correlation coefficient with field lodging(r=0.7607), but it may be undesirable to judge lodging resistance of genotype by culm length itself without consideration of culm stiffness. Considering the difficulty and time-consuming to measure the character, clum length, W/1, W1/d, and W$_{s}$$^{2}$/1$^4$ were easy to measure and hence would be the most useful variables to judge the lodging resistance of genotype. Culm diameter, cross sectional area of culm, thickness of culm wall, and the second inertia moment of cross section of culm were not correlated with field lodging at all. Breaking strength of culm showed significantly negative correlation coefficient (r=-0.3986) with field lodging.ing.

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Derivation of Optimal Distribution for the Frequency Analysis of Extreme Flood using LH-Moments (LH-모멘트에 의한 극치홍수량의 빈도분석을 위한 적정분포형 유도)

  • Maeng, Sung-Jin;Lee, Soon-Hyuk
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2002.10a
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    • pp.229-232
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    • 2002
  • This study was conducted to estimate the design flood by the determination of best fitting order of LH-moments of the annual maximum series at six and nine watersheds in Korea and Australia, respectively. Adequacy for flood flow data was confirmed by the tests of independence, homogeneity, and outliers. Gumbel (GUM), Generalized Extreme Value (GEV), Generalized Pareto (GPA), and Generalized Logistic (GLO) distributions were applied to get the best fitting frequency distribution for flood flow data. Theoretical bases of L, L1, L2, L3 and L4-moments were derived to estimate the parameters of 4 distributions. L, L1, L2, L3 and L4-moment ratio diagrams (LH-moments ratio diagram) were developed in this study.

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Estimation of Design Flood by the Determination of Best Fitting Order of LH-Moments ( I ) (LH-모멘트의 적정 차수 결정에 의한 설계홍수량 추정 ( I ))

  • 맹승진;이순혁
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.44 no.6
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    • pp.49-60
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    • 2002
  • This study was conducted to estimate the design flood by the determination of best fitting order of LH-moments of the annual maximum series at six and nine watersheds in Korea and Australia, respectively. Adequacy for flood flow data was confirmed by the tests of independence, homogeneity, and outliers. Gumbel (GUM), Generalized Extreme Value (GEV), Generalized Pareto (GPA), and Generalized Logistic (GLO) distributions were applied to get the best fitting frequency distribution for flood flow data. Theoretical bases of L, L1, L2, L3 and L4-moments were derived to estimate the parameters of 4 distributions. L, L1, L2, L3 and L4-moment ratio diagrams (LH-moments ratio diagram) were developed in this study. GEV distribution for the flood flow data of the applied watersheds was confirmed as the best one among others by the LH-moments ratio diagram and Kolmogorov-Smirnov test. Best fitting order of LH-moments will be derived by the confidence analysis of estimated design flood in the second report of this study.

The Study on Application of Regional Frequency Analysis using Kernel Density Function (핵밀도 함수를 이용한 지역빈도해석의 적용에 관한 연구)

  • Oh, Tae-Suk;Kim, Jong-Suk;Moon, Young-Il;Yoo, Seung-Yeon
    • Journal of Korea Water Resources Association
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    • v.39 no.10 s.171
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    • pp.891-904
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    • 2006
  • The estimation of the probability precipitation is essential for the design of hydrologic projects. The techniques to calculate the probability precipitation can be determined by the point frequency analysis and the regional frequency analysis. The regional frequency analysis includes index-flood technique and L-moment technique. In the regional frequency analysis, even if the rainfall data passed homogeneity, suitable distributions can be different at each point. However, the regional frequency analysis can supplement the lacking precipitation data. Therefore, the regional frequency analysis has weaknesses compared to parametric point frequency analysis because of suppositions about probability distributions. Therefore, this paper applies kernel density function to precipitation data so that homogeneity is defined. In this paper, The data from 16 rainfall observatories were collected and managed by the Korea Meteorological Administration to achieve the point frequency analysis and the regional frequency analysis. The point frequency analysis applies parametric technique and nonparametric technique, and the regional frequency analysis applies index-flood techniques and L-moment techniques. Also, the probability precipitation was calculated by the regional frequency analysis using variable kernel density function.