• Title/Summary/Keyword: GEV distribution

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Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques (고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정)

  • Lee, Soon-Hyuk;Park, Jong-Hwa;Ryoo, Kyong-Sik;Jee, Ho-Keun;Shin, Yong-Hee
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2002.10a
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    • pp.237-240
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    • 2002
  • 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. RRMSE, RBIAS and 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. 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.

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Flood Risk Assessment Based on Bias-Corrected RCP Scenarios with Quantile Mapping at a Si-Gun Level (분위사상법을 적용한 RCP 시나리오 기반 시군별 홍수 위험도 평가)

  • Park, Jihoon;Kang, Moon Seong;Song, Inhong
    • Journal of The Korean Society of Agricultural Engineers
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    • v.55 no.4
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    • pp.73-82
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    • 2013
  • The main objective of this study was to evaluate Representative Concentration Pathways (RCP) scenarios-based flood risk at a Si-Gun level. A bias correction using a quantile mapping method with the Generalized Extreme Value (GEV) distribution was performed to correct future precipitation data provided by the Korea Meteorological Administration (KMA). A series of proxy variables including CN80 (Number of days over 80 mm) and CX3h (Maximum precipitation during 3-hr) etc. were used to carry out flood risk assessment. Indicators were normalized by a Z-score method and weighted by factors estimated by principal component analysis (PCA). Flood risk evaluation was conducted for the four different time periods, i.e. 1990s, 2025s, 2055s, and 2085s, which correspond to 1976~2005, 2011~2040, 2041~2070, and 2071~2100. The average flood risk indices based on RCP4.5 scenario were 0.08, 0.16, 0.22, and 0.13 for the corresponding periods in the order of time, which increased steadily up to 2055s period and decreased. The average indices based on RCP8.5 scenario were 0.08, 0.23, 0.11, and 0.21, which decreased in the 2055s period and then increased again. Considering the average index during entire period of the future, RCP8.5 scenario resulted in greater risk than RCP4.5 scenario.

Monte-Carlo Simulation for Parameter Estimation of Bivariate Probability Distribution for Hydrological Data (수문자료의 이변량 확률분포형 매개변수 추정 개선을 위한 Monte-Carlo 모의실험)

  • Joo, Kyungwon;Kim, Sunghun;Jung, Younghun;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.335-335
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    • 2019
  • 최근 수문자료에 대한 다변량 빈도해석 연구가 활발히 이루어지고 있다. 하나의 자료를 확률변수로 사용하는 단변량 빈도해석에 비해 여러 수문자료를 조합하여 동시에 추정할 수 있는 다변량 빈도해석은 수문자료의 상관성을 고려하면서 확률분포형을 추정할 수 있다는 장점이 있다. 이에 다변량 확률분포형을 이용한 빈도해석 과정 중 정확한 매개변수 추정을 위한 연구도 최근 여러방면으로 이루어지고 있다. 본 연구에서는 다변량 확률분포형의 매개변수 추정방법 중 기존에 주로 사용되고 있는 의사최우도법(MPL, Maximum Pseudo-Likelihood method)의 성능을 개선하기 위해 기존의 방법과 본 연구에서 제안하는 매개변수 추정방법의 Monte-Carlo 모의실험을 수행하였다. 일반적으로 수문자료는 양(+)의 왜곡도계수를 갖기 때문에 GEV(Geveralized Extreme Value) 분포형을 모분포로 하여 각 방법의 정확성을 검토하였다. 모의실험을 수행한 결과, 기존의사최우도법에서 Weibull 식을 이용하여 순위통계량을 계산하는 방법보다 본 연구에서 제안한 왜곡도를 고려하는 순위통계량을 사용하는 것이 더 정확한 매개변수 추정결과를 보여주는 것으로 나타났다.

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Study on shape of floc size distribution (플럭의 입도분포의 형태에 관한 고찰)

  • Son, Minwoo;Byun, Jisun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.181-181
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    • 2020
  • 점착성 유사는 유사가 가지는 점착력에 의해 응집현상을 겪으며 그 크기와 밀도가 변화한다. 유사의 크기와 밀도는 침강속도에 직접적인 영향을 주며 침강속도으 변화는 유사의 거동에 매우 중요한 작용을 한다. 따라서 점착성 유사의 크기 특성을 파악하는 것은 매우 중요하다. 이전의 많은 연구는 점착성 유사의 입도분포가 대수정규분포를 따른다고 주장하고 있다. 그러나 그 가정이 합리적인지에 대해 분석한 연구는 많지 않다. 본 연구는 통계학적 방법 중 적합도 검정을 이용하여 실제 점착성 유사가 어떠한 분포를 모사하는지 분석하였다. 사용된 적합도 검정 방법은 Kolmogorov-Sminorv(K-S) 검정이며 적합도 판정의 기준은 유의수준 5%를 기준으로 하였다. 그 결과, 실험실 실험에서 측정된 플럭의 입도분포와 현장 실험에서 측정된 입도분포는 다른 결과를 보였다. 현장 실험의 경우, 분포가 오른쪽으로 왜곡된 지수분포의 형태를 나타냈으며, Gamma 분포가 가장 우수하게 모사하였다. 실험실 실험의 경우 일반적인 양의 왜도를 가지는 분포를 나타냈으며 GEV분포가 점착성 유사의 입도분포를 가장 잘 모사하였다. 대수정규 분포의 경우 일반적으로 이용하는 2-매개변수 대수정규분포일 경우 현장실험과 실험실 실험 모두 적합하지 않았다. 그러나 위치 매개변수를 추가하여 3-매개변수 대수정규분포를 사용하면 점착성 유사의 입도분포를 잘 모사하는 것으로 판단된다. 따라서 점착성 유사의 입도분포를 무조건적으로 대수정규분포로 사용하는 것은 지양해야할 것으로 판단된다.

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Parameter Estimation and Analysis of Extreme Highest Tide Level in Marginal Seas around Korea (한국 연안 최극 고조위의 매개변수 추정 및 분석)

  • Jeong, Shin-Taek;Kim, Jeong-Dae;Ko, Dong-Hui;Yoon, Gil-Lim
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.5
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    • pp.482-490
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    • 2008
  • For a coastal or harbor structure design, one of the most important environmental factors is the appropriate extreme highest tide level condition. Especially, the information of extreme highest tide level distribution is essential for reliability design. In this paper, 23 set of extreme highest tide level data obtained from National Oceanographic Research Institute(NORI) were analyzed for extreme highest tide levels. The probability distributions considered in this research were Generalized Extreme Value(GEV), Gumbel, and Weibull distribution. For each of these distributions, three parameter estimation methods, i.e. the method of moments, maximum likelihood and probability weighted moments, were applied. Chi-square and Kolmogorov-Smirnov goodness-offit tests were performed, and the assumed distribution was accepted at the confidence level 95%. Gumbel distribution which best fits to the 22 tidal station was selected as the most probable parent distribution, and optimally estimated parameters and extreme highest tide level with various return periods were presented. The extreme values of Incheon, Cheju, Yeosu, Pusan, and Mukho, which estimated by Shim et al.(1992) are lower than that of this result.

LOCAL TIMES OF GALACTIC COSMIC RAY INTENSITY MAXIMUM AND MINIMUM IN THE DIURNAL VARIATION (우주선 세기 일변화 최대 및 최소 지방시)

  • Oh Su-Yeon;Yi Yu
    • Journal of Astronomy and Space Sciences
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    • v.23 no.2
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    • pp.117-126
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    • 2006
  • The Diurnal variation of galactic cosmic ray (GCR) flux intensity observed by the ground Neutron Monitor (NM) shows a sinusoidal pattern with the amplitude of $1{\sim}2%$ of daily mean. We carried out a statistical study on tendencies of the local times of GCR intensity daily maximum aad minimum. To test the influences of the solar activity and the location (cut-off rigidity) on the distribution in the local times of maximum and minimum GCR intensity, we have examined the data of 1996 (solar minimum) and 2000 (solar maximum) at the low-latitude Haleakala (latitude: 20.72 N, cut-off rigidity: 12.91 GeV) and the high-latitude Oulu (latitude: 65.05 N, cut-off rigidity: 0.81 GeV) NM stations. The most frequent local times of the GCR intensity daily maximum and minimum come later about $2{\sim}3$ hours in the solar activity maximum year 2000 than in the solar activity minimum you 1996. Oulu NM station whose cut-off rigidity is smaller has the most frequent local times of the GCR intensity maximum and minimum later by $2{\sim}3$ hours from those of Haleakala station. This feature is more evident at the solar maximum. The phase of the daily variation in GCR is dependent upon the interplanetary magnetic field varying with the solar activity and the cut-off rigidity varying with the geographic latitude.

Estimation of Future Design Flood Under Non-Stationarity for Wonpyeongcheon Watershed (비정상성을 고려한 원평천 유역의 미래 설계홍수량 산정)

  • Ryu, Jeong Hoon;Kang, Moon Seong;Park, Jihoon;Jun, Sang Min;Song, Jung Hun;Kim, Kyeung;Lee, Kyeong-Do
    • Journal of The Korean Society of Agricultural Engineers
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    • v.57 no.5
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    • pp.139-152
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    • 2015
  • Along with climate change, it is reported that the scale and frequency of extreme climate events show unstable tendency of increase. Thus, to comprehend the change characteristics of precipitation data, it is needed to consider non-stationary. The main objectives of this study were to estimate future design floods for Wonpyeongcheon watershed based on RCP (Representative Concentration Pathways) scenario. Wonpyeongcheon located in the Keum River watershed was selected as the study area. Historical precipitation data of the past 35 years (1976~2010) were collected from the Jeonju meteorological station. Future precipitation data based on RCP4.5 were also obtained for the period of 2011~2100. Systematic bias between observed and simulated data were corrected using the quantile mapping (QM) method. The parameters for the bias-correction were estimated by non-parametric method. A non-stationary frequency analysis was conducted with moving average method which derives change characteristics of generalized extreme value (GEV) distribution parameters. Design floods for different durations and frequencies were estimated using rational formula. As the result, the GEV parameters (location and scale) showed an upward tendency indicating the increase of quantity and fluctuation of an extreme precipitation in the future. The probable rainfall and design flood based on non-stationarity showed higher values than those of stationarity assumption by 1.2%~54.9% and 3.6%~54.9%, respectively, thus empathizing the necessity of non-stationary frequency analysis. The study findings are expected to be used as a basis to analyze the impacts of climate change and to reconsider the future design criteria of Wonpyeongcheon watershed.

Estimating design floods for ungauged basins in the geum-river basin through regional flood frequency analysis using L-moments method (L-모멘트법을 이용한 지역홍수빈도분석을 통한 금강유역 미계측 유역의 설계홍수량 산정)

  • Lee, Jin-Young;Park, Dong-Hyeok;Shin, Ji-Yae;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.49 no.8
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    • pp.645-656
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    • 2016
  • The study performed a regional flood frequency analysis and proposed a regression equation to estimate design floods corresponding to return periods for ungauged basins in Geum-river basin. Five preliminary tests were employed to investigate hydrological independence and homogeneity of streamflow data, i.e. the lag-one autocorrelation test, time homogeneity test, Grubbs-Beck outlier test, discordancy measure test ($D_i$), and regional homogeneity measure (H). The test results showed that streamflow data were time-independent, discordant and homogeneous within the basin. Using five probability distributions (generalized extreme value (GEV), three-parameter log-normal (LN-III), Pearson type 3 (P-III), generalized logistic (GLO), generalized Pareto (GPA)), comparative regional flood frequency analyses were carried out for the region. Based on the L-moment ratio diagram, average weighted distance (AWD) and goodness-of-fit statistics ($Z^{DIST}$), the GLO distribution was selected as the best fit model for Geum-river basin. Using the GLO, a regression equation was developed for estimating regional design floods, and validated by comparing the estimated and observed streamflows at the Ganggyeong station.

Regional Rainfall Frequency Analysis by Multivariate Techniques (다변량 분석 기법을 활용한 강우 지역빈도해석)

  • Nam, Woo-Sung;Kim, Tae-Soon;Shin, Ju-Young;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.41 no.5
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    • pp.517-525
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    • 2008
  • Regional rainfall quantile depends on the identification of hydrologically homogeneous regions. Various variables relevant to precipitation can be used to form regions. Since the type and number of variables may lead to improve the efficiency of partitioning, it is important to select those precipitation related variables, which represent most of the information from all candidate variables. Multivariate analysis techniques can be used for this purpose. Procrustes analysis which can decrease the dimension of variables based on their correlations, are applied in this study. 42 rainfall related variables are decreased into 21 ones by Procrustes analysis. Factor analysis is applied to those selected variables and then 5 factors are extracted. Fuzzy-c means technique classifies 68 stations into 6 regions. As a result, the GEV distributions are fitted to 6 regions while the lognormal and generalized logistic distributions are fitted to 5 regions. For the comparison purpose with previous results, rainfall quantiles based on generalized logistic distribution are estimated by at-site frequency analysis, index flood method, and regional shape estimation method.

Calculation of optimal design flood using cost-benefit analysis with uncertainty (불확실성이 고려된 비용-편익분석 기법을 도입한 최적설계홍수량 산정)

  • Kim, Sang Ug;Choi, Kwang Bae
    • Journal of Korea Water Resources Association
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    • v.55 no.6
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    • pp.405-419
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    • 2022
  • Flood frequency analysis commonly used to design the hydraulic structures to minimize flood damage includes uncertainty. Therefore, the most appropriate design flood within a uncertainty should be selected in the final stage of a hydraulic structure, but related studies were rarely carried out. The total expected cost function introduced into the flood frequency analysis is a new approach for determining the optimal design flood. This procedure has been used as UNCODE (UNcertainty COmpliant DEsign), but the application has not yet been introduced in South Korea. This study introduced the mathematical procedure of UNCODE and calculated the optimal design flood using the annual maximum inflow of hydroelectric dams located in the Bukhan River system and results were compared with that of the existing flood frequency. The parameter uncertainty was considered in the total expected cost function using the Gumbel and the GEV distribution, and the Metropolis-Hastings algorithm was used to sample the parameters. In this study, cost function and damage function were assumed to be a first-order linear function. It was found that the medians of the optimal design flood for 4 Hydroelectric dams, 2 probability distributions, and 2 return periods were calculated to be somewhat larger than the design flood by the existing flood frequency analysis. In the future, it is needed to develop the practical approximated procedure to UNCODE.