• Title/Summary/Keyword: 극치분석

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Characteristics on the Extreme Value Distributions of Deepwater Design ave Heights off the Korean Coast (한국 연안 심해 설계파고의 극치분포 특성)

  • Shin Taek Jeong;Jeong Dae Kim;Cho Hong Yeon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.16 no.3
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    • pp.130-141
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    • 2004
  • For a coastal or harbor structure design, one of the most important environmental factors is the appropriate design wave condition. Especially, the information of deepwater wave height distribution is essential for reliability design. In this paper, a set of deep water wave data obtained from KORDI(2003) were analyzed for extreme wave heights. These wave data at 67 stations off the Korean coast from 1979 to 1998 were arranged in the 16 directions. The probability distributions considered in this research were the Weibull, the Gumbel, the Log-pearson Type-III, and Lognormal 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-of-fit tests were performed, and the assumed distribution was accepted at the confidence level 95%. Gumbel distribution which best fits to the 67 station was selected as the most probable parent distribution, and optimally estimated parameters and 50 year design wave heights were presented.

Analysis on Spatio-Temporal Pattern and Regionalization of Extreme Rainfall Data (극치강수량의 시공간적 특성 분석 및 지역화에 관한 연구)

  • Lee, Jeong-Ju;Kwon, Hyun-Han
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.1B
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    • pp.13-20
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    • 2011
  • The spatio-temporal pattern in precipitation is a significant element in defining characteristics of precipitation. In this study, a new scheme on regionalization utilizing temporal information was introduced on the basis of existing approaches that is mainly based on simple moments of data and geographical information. Given the identified spatio-temporal pattern, this study was extended to characterize regional pattern of annual maximum rainfall over Korea. We have used circular statistics to characterize the temporal distribution on the precipitation, and the circular statistics allow us to effectively assess changes in timing of the extreme rainfall in detail. In this study, a modified K-means method was incorporated with derived temporal characteristics of extreme rainfall in order to better characterize hydrologic pattern for regional frequency analysis. The extreme rainfall was reasonably separated into five categories that considered most attributes in both quantitative and temporal changes in extremes. The results showed that the proposed approach is a promising approach for regionalization in term of physical understanding of extreme rainfall.

Analysis on Characteristics of Sediment Produce by Landslide in a Basin 2. Rainfall Event-based Analysis (유역 내에서의 산사태에 의한 토사발생특성 분석 2. 강우사상별 분석)

  • Yoo, Chul-Sang;Kim, Kee-Wook
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.3
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    • pp.147-154
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    • 2010
  • This study analyzed the characteristics of sediment produce by landslide triggered by rainfall. One-dimensional unsaturated groundwater model and infinite slope stability analysis were used to estimate the behavior of soil moisture and slope stability according to rainfall, respectively. Slope stability analysis was performed considering on soil depth and characteristics of trees. The results of the analysis on characteristics of sediment produce according to rainfall events showed that the sediment produce by landslide was mainly contributed to rainfall intensity and its temporal clustering. The results of the analysis on characteristics of sediment produce by extreme events showed that remaining rainfall amount of typhoon 'Rusa' was much more than that of the other extreme events, and thus this remaining rainfall was to contribute to sediment transportation. Additionally, only a small number of extreme events were found to cause most amount of sediment produce in a basin.

Characteristics of Spread Parameter of the Extreme Wave Height Distribution around Korean Marginal Seas (한국 연안 극치 파고 분포의 확산모수 특성)

  • Jeong, Shin-Taek;Kim, Jeong-Dae;Ko, Dong-Hui;Kim, Tae-Heon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.6
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    • pp.480-494
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    • 2009
  • Long term extreme wave data are essential for planning and designing coastal structures. Since the availability of the field data for the waters around Korean peninsula is limited to provide a reliable wave statistics, the wave climate information has been generated by means of long-term wave hindcasting using available meteorological data. KORDI(2005) has proposed extreme wave data at 106 stations off the Korean coast from 1979 to 2003. In this paper, extreme data sets of wave(KORDI, 2005) have been analyzed for best-fitting distribution functions, for which the spread parameter proposed by Goda(2004) is evaluated. The calculated values of the spread parameter are in good agreement with the values based on method of moment for parameter estimation. However, the spread parameter of extreme wave data has a representative value ranging from about 1.0 to 2.8 which is larger than some foreign coastal waters, it is necessary to review deep water design wave.

Heavy Rainfall Frequency and Synoptic Climate Analysis according to another Threshold (절점기준에 따른 호우사상의 강우빈도 및 종관기후학적 분석)

  • Kim, Tae-Jeong;Kim, Jin-Young;Ryou, Nim-Suk;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.8-8
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    • 2016
  • 최근 기상상태의 불안정으로 인하여 위험기상이 빈번히 발생하고 있다. 우리나라는 지리적으로 단시간에 매우 높은 강우강도를 유발하는 강우사상이 빈번하게 발생하여 홍수사상이 유발되기 쉽다. 기후변동으로 인하여 지난 30년 동안 극한강우의 발생 빈도는 점차 증가하고 있다. 따라서 본 연구에서는 과거부터 현재까지의 강우패턴을 입력 자료로 사용하여 극단적으로 변화하는 강우사상에 대하여 면밀한 분석을 수행하였다. 본 연구에서는 극치강우사상을 분석하는데 있어 서로 다른 절점기준을 사용하였다. 첫째, 6시간 누적 강우량이 70mm를 초과하는 경우이며 두 번째는 1시간 누적 강우량이 30mm를 초과하는 경우로 구분하였다. 강우빈도 해석을 수행함에 있어 확률분포형의 매개변수의 불확실성을 보다 정량적으로 산정할 수 있는 Bayesian 기법을 적용하였으며, 또한 각각의 절점기준에 따라서 분류된 강우사상 발생시 종관기후학적 분석을 수행하였다. 이를 위해 미국 대기해양청 재해석자료를 활용하였다. 연구결과 산악지역의 극치강우 발생 증가를 확인하였으며, 동중국해 지역의 저기압 특성과 북태평양 고기압 특성이 우리나라 극치강우현상에 주로 영향을 미치는 것을 확인하였다.

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A Study on the Assessment of Right-tail Prediction Ability of Extreme Distributions using Simulation Experiment (모의 실험을 이용한 Right-tail quantiles의 극치 분포형 비교 평가에 관한 연구)

  • Jung, Jinseok;Kim, Taereem;Song, Hyun-Keun;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.158-158
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    • 2016
  • 본 연구에서는 극치 분포의 오른쪽 꼬리 부분 예측 시 안정적인 확률수문량 산정하는 확률분포형과 매개변수 추정 방법을 평가하기 위해 Monte Carlo 모의를 수행하였다. 수문자료의 빈도해석에 적합한 것으로 알려진 generalized extreme value (GEV), Gumbel (GUM), generalized logistic (GLO), gamma3 (GAM3), normal (NOR), log-normal3 (LN3) 총 6개의 확률분포형을 바탕으로 오른쪽 꼬리 부분의 확률수문량 추정 성능을 모의 실험을 통해 평가하고자 한다. 30년 이상 자료를 보유한 기상청 지점의 지속기간별 연최대값 자료를 분석한 결과를 바탕으로 모분포를 GEV분포로 선정하였으며 평균이 1.0, 표준편차 0.5, 왜곡도 계수는 0.5, 1.0, 2.0, 3.0, 4.0이 되도록 가정하였다. 또한 자료 길이에 따른 성능 평가를 위해 표본 크기 20, 50, 100, 150, 200개에 대해 분석을 수행하였다. 위와 같은 가정으로 총 25종류(왜곡도계수 5개 ${\times}$ 표본 크기 5개)의 발생된 모분포에 6가지의 확률분포형과 3가지의 매개변수 추정방법(모멘트법, 최우도법, 확률가중모멘트법)을 조합한 18가지의 모델을 비교 분석해보았다. 평가방법으로는 평균 제곱근 오차(Root Mean Square Error, RMSE), 편의(bias), 평균 상대오차(Mean Relative Difference, MRD), 평균 절대 상대오차(Mean Absolute Relative Difference, MARD)를 사용하여 적용 모델의 성능을 비교 분석하였다.

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The ETCCDI and Frequency Analysis using RCP Scenarios (RCP 시나리오를 고려한 극치통계분석 및 빈도해석)

  • Kim, Duck Hwan;Kim, Yon Soo;Hong, Seung Jin;Ly, Sidoeun;Jung, Younghun;Kim, Hung Soo
    • Journal of Wetlands Research
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    • v.15 no.4
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    • pp.595-607
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    • 2013
  • In this study we estimated ETCCDI and frequency based precipitation using observed precipitation and precipitation from Representative Concentration Pathway(RCP) scenarios for 58 weather stations which have the recorded data more than 30 years. We tried to eliminate the bias by Quantile Mapping and tested for outliers of simulated data under climate change scenario. Then we estimated ETCCDI related to precipitation and frequency based precipitation for the future. In addition to this study examined the changes of frequency based precipitation for the future target periods. According to the result, dry days will be increased in Korean Peninsula in the 2090s. Also it showed that the number of heavy precipitation day more than 80mm/day tends to be increased in 3~7% in the future. The precipitation of 24-hour duration under climate change will be increased by 17.7% for 80-year frequency, 18.2% for 100-year frequency and 19.6% for 200-year frequency in 2090s. In the 21st century, the damage caused by natural disasters is expected to be increased due to increase of precipitation and the change of runoff characteristics under climate change. Therefore, the proposed ETCCDI and precipitation frequency under climate change are expected to be used for the future natural disaster plan.

Analysis of Extreme Wave Conditions for Long-Term Wave Observation Data Considering Directionality (방향성을 고려한 장기 파랑관측자료의 극치파랑조건 분석)

  • Kim, Gunwoo
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.28 no.5
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    • pp.700-711
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    • 2022
  • In this study, deepwater design waves were estimated for 16 wave directions and various return periods based on statistical analysis of extreme waves observed for more than 20 years at three stations (Chilbal-do, Geomun-do, Donghae). These values were compared with design waves estimated based on the omni-directional wave data. The Weibull distribution was used as the probability distribution function whose parameters were determined by the least square method. The Kolmogorov-Smirnov test was applied for the goodness of fit test. Notably, the directional design waves were smaller than the omni-directional design wave for every wave direction. The maximum 50-year wave heights for directional sectors were 7.46 m (NNE), 12.05 m (S), and 9,59 m (SSW) at Chilbal-do, Geomun-do and Donghae whereas those for uni-directional wave data were 7.91 m, 13.82 m and 10.38 m, respectively. This implied possible under-estimation of the deepwater design waves for 16 wave directions being currently used in the design of offshore and coastal structures.

Concept of Trend Analysis of Hydrologic Extreme Variables and Nonstationary Frequency Analysis (극치수문자료의 경향성 분석 개념 및 비정상성 빈도해석)

  • Lee, Jeong-Ju;Kwon, Hyun-Han;Kim, Tae-Woong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.4B
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    • pp.389-397
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    • 2010
  • This study introduced a Bayesian based frequency analysis in which the statistical trend analysis for hydrologic extreme series is incorporated. The proposed model employed Gumbel extreme distribution to characterize extreme events and a fully coupled bayesian frequency model was finally utilized to estimate design rainfalls in Seoul. Posterior distributions of the model parameters in both Gumbel distribution and trend analysis were updated through Markov Chain Monte Carlo Simulation mainly utilizing Gibbs sampler. This study proposed a way to make use of nonstationary frequency model for dynamic risk analysis, and showed an increase of hydrologic risk with time varying probability density functions. The proposed study showed advantage in assessing statistical significance of parameters associated with trend analysis through statistical inference utilizing derived posterior distributions.

Precipitation Characteristics Analysis and Climate Change Outlook of North Korea (북한의 강수특성 분석과 기후변화 전망)

  • Myeong, Soo-Jeong;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.1443-1447
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    • 2010
  • 본 연구는 북한의 강수특성과 기후변화에 대한 전망을 분석하였다. 강우특성 분석은 북한전역에 분포한 27개 강우 관측지점의 자료를 사용하였으며, 자료 연한은 관측지점에 따라 차이가 있으나 1974년부터 2008년까지였다. 일강수량 자료를 바탕으로 강수량, 강수일수, 강우강도, 극치강수량 발생빈도 등 다양한 강수특성에 대한 통계 분석을 수행하였다. 북한의 연강수량은 전반적으로 증가경향을 보이나 통계학적으로 유의미하다고는 할 수 없으며, 강수일수는 뚜렷한 감소추세를 나타내었다. 이로 인해 평균 강우강도(연강수량/강수일수)의 증가경향 또한 뚜렷이 나타났으나, 80mm 이상의 일강수량 발생 빈도는 과거에 비해 크게 증가하지 않는 것으로 나타났다. 이를 종합해보면 북한의 경우 강수량의 변화보다는 강수일수의 감소가 더 두드러져 홍수와 가뭄에 대한 취약성이 동시에 높아지는 결과로 귀결되며 수자원 관리에 더 대비해야 할 것으로 판단된다. 북한의 기후변화에 대한 전망은 A1B 시나리오를 사용하여 연강수량, 강수일수, 강우강도, 극치강수량 등 다양한 수문 변량을 분석하였다. 분석 결과 앞으로 북한지역에서는 강수량은 전반적으로 증가경향이 유지될 것으로 전망된다.

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