• Title/Summary/Keyword: annual maximum series

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Derivation of Design Flood by Transformation -On the annual maximum series- (변환법에 의한 설계홍수량의 유도(I) - 연최고치계열을 중심으로-)

  • 이순혁;맹승진
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.4
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    • pp.64-72
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    • 1994
  • 설계홍수량의 유도를 위해 일차적으로 극치계열인 금강, 영산강 및 석진강 수개 3개 유역의 연최고치계열을 중심으로 하여 SMEMAX법, 역변환(Power Transformation) 및 2단계역변환(Two step Power Transformation, TSPT)법에 의해 척도분포의 정규화를 위한 변환법의 효율성 검정과 설계홍수량의 유도 및 비교분석을 수행한 결과 SMEMAX 법과 Power 변환법에서는 정규분포화를 왜곡도계수의 영으로의 접근 시도는 가능하나 소설도, 3으로의 조건을 충족시킬 수 없었던 반면 2단계역변환법에서는 소설도, 3에 매우 근접된 결과를 가져오므로서 척도분포의 정규화를 기할 수 있었고 각각의 변환법에 유도된 설계홍수량간의 비교분석에서는 SMEMAX 및 Power 변환법에 비해 2단계역변환방법에 의한 설계 홍수량이 재현기간 10년 이상 실측치에 보다 접근된 좋은 결과를 나타내었다.

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Flood Frequency Analysis by the Box-Cox Transformation

  • 이순혁;조성갑;박명곤
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.32 no.E
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    • pp.20-32
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    • 1990
  • Abstract This study was conducted to pursue the normalization of frequency distribution by making an approach to the coefficient of skewness to nearly zero through the Box-Cox transformation, to get probable flood flows can be calculated by means of the transformation equation which has been derivated by Box-Cox transformation in the annual maximum series of the applied watersheds. It has been concluded that Box-Cox transfromation is proved to be more efficient than logarithmic, square root and SMEMAX transformation which is based on the trigonometric solution of a right triangle whose three verteces repesent the smallest, median and largest observed values of a population in making the coefficient of skewness nearer to zero. Consequently it is shown that probable flood flows according to the return period based on Box-Cox transformation are closer to the observed data as compared to other methods including SMEMAX transformation and fitted probability distributions such as the three parameter lognormal and the type I extremal distribution for the applied watersheds.

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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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Comparative Studies on the Design Floods Derived by Different Methods for the Parameters of the Log Pearson Type III Distribution (Log Pearson Type III 분포 모형에 의한 매개변수 유도방법별 설계홍수량의 비교 고찰)

  • Lee Soon-hyuk;Jong Youn-su;Maeng Sung-jin;Ryoo Kyong-sik
    • KCID journal
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    • v.4 no.1
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    • pp.34-50
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    • 1997
  • This study was conducted to derive optimal design floods by Log Pearson Type III distribution model of the annual maximum series at five watersheds along Geum, Yeong San and Seom Jin river systems. Design floods obtained by different methods for evaluatio

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Frequency Analysis of Extreme Rainfall using Higher Probability Weighted Moments (고차확률가중모멘트에 의한 극치강우의 빈도분석)

  • Lee, Soon-Hyuk;Maeng, Sung-Jin;Ryoo, Kyong-Sik;Kim, Byeong-Jun
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2003.10a
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    • pp.511-514
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    • 2003
  • This study was conducted to estimate the design rainfall by the determination of best fitting order for Higher Probability Weighted Moments of the annual maximum series according to consecutive duration at sixty-five rainfall stations in Korea. Design rainfalls were obtained by generalized extreme value distribution which was selected to be suitable distribution in 4 applied distributions and by L, L1, L2, L3 and L4-moment. The best fitting order for Higher Probability Weighted Moments was determined with the confidence analysis of estimated design rainfall.

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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.

Comparative Analysis of Flood Frequency by L-moment in Weibull-3 and GEV Distributions (Weibull-3및 GEV 분포모형의 L-모멘트법에 의한 홍수빈도 비교분석)

  • 이순혁
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.41 no.4
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    • pp.25-29
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    • 1999
  • This study was conducted to derive optimal design floods by Gerneralized Extreme Value(GEV) and Weibull-3 distributions for the annual maximum series at ten watersheds along Han,Nagdong, Geum, Yeongsan and Seomjin reiver systems. Adequency for the analysis of flood data used in this study was established by the tests of Independence. Homogeneity , detection of Outlines, L-moments. Design flood sobtaine dby /methods of Moments and L-Moments using different methods for plotting positions in BEV and Weibull-3 distributions were compared by the Relative Mean Errors(RME) and Root MEan Square Errors(RMSE). The result wa found that design floods derived by the L-moments using the other formulas for plotting positions from the viewpoint of Relative Mean Errors and Root Mean Square Errors.

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Analysis on Urban Sprawl and Landcover Change Using TM, ETM+ and GIS

  • Xiao, Jieying;Ryutaro, Tateishi;Shen, Yanjun;Ge, Jingfeng;Liang, Yanqing;Chang, Chunping
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.978-980
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    • 2003
  • This study explores the temporal and spatial features near 67years (1934 ?2001) and landcover change in last 14 years (1987-2001) in Shijiazhuang, China, based on 67-year time series data edited from historical maps, TM and ETM+ imageries by integrating GIS and remote sensing method. An index named Annual Growth Rate (AGR) is used to analyze the spatial features of urban sprawl, and Maximum Likelihood classification method is utilized to detect the land cover types change. At last, the relationship between urbanization and factors is analyzed.

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The Circulation in Kwang Yang Bay (광양만의 해수유동에 관하여)

  • 윤갑동
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.12 no.1
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    • pp.19-24
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    • 1976
  • A series of physical oceanographic investigations of the circulation in the Kwang Bay' were carried out seven times from May 1974 to May 1975 every other month. The average water transports through the southern entrance of the' Kwang Yang Bay were approximately $1,014{\times}I0^6m^3$/half-tide in ebb current and $278{\times}10^6m^3$$405.6{\times}I0^6m^34/half-tide in ebb current, and $282{\times}10^6m^3 $/half-tide in flood current, at the maximum current intensity. The water from Seomjin River flows into the bay at an annual average rate of $84{\times}I0^6m^3$/half-tide, the rate being fluctuated from month to month from $6.0\times}10^6m^3 $to $11. 5{\times}I0^6m^3 $per half-tide.

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A bivariate extension of the Hosking and Wallis goodness-of-fit measure for regional distributions

  • Kjeldsen, Thomas Rodding;Prosdocimi, Ilaria
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.239-239
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    • 2015
  • This study presents a bivariate extension of the goodness-of-fit measure for regional frequency distributions developed by Hosking and Wallis [1993] for use with the method of L-moments. Utilising the approximate joint normal distribution of the regional L-skewness and L-kurtosis, a graphical representation of the confidence region on the L-moment diagram can be constructed as an ellipsoid. Candidate distributions can then be accepted where the corresponding the oretical relationship between the L-skewness and L-kurtosis intersects the confidence region, and the chosen distribution would be the one that minimises the Mahalanobis distance measure. Based on a set of Monte Carlo simulations it is demonstrated that the new bivariate measure generally selects the true population distribution more frequently than the original method. An R-code implementation of the method is available for download free-of-charge from the GitHub code depository and will be demonstrated on a case study of annual maximum series of peak flow data from a homogeneous region in Italy.

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