• Title/Summary/Keyword: Rainfall Quantiles

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Estimation of Flood Quantile in Ungauged Watersheds for Flood Damage Analysis Based on Flood Index of Natural Flow (미계측 유역의 홍수피해분석을 위한 자연유량의 홍수지표 기반 확률홍수량 산정)

  • Chae, Byung Seok;Choi, Si Jung;Ahn, Jae Hyun;Kim, Tae-Woong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.38 no.1
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    • pp.175-182
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    • 2018
  • In this study, flood quantiles were estimated at ungauged watersheds by adjusting the flood quantiles from the design rainfall - runoff analysis (DRRA) method based on regional frequency analysis. Comparing the flood frequency analysis (FFA) and DRRA, it was found that the flood quantiles estimated by the DRRA method were overestimated by 52%. In addition, a practical method was suggested to make an flood index using natural flows to apply the regional frequency analysis (RFA) to ungauged watersheds. Considering the relationships among DRRA, FFA, and RFA, we derived an adjusting formula that can be applied to estimate flood quantiles at ungauged watersheds. We also employed Leave-One-Out Cross-Validation scheme and skill score to verify the method proposed in this study. As a result, the proposed model increased the accuracy by 23.2% compared to the existing DRRA method.

Derivation of Probable Rainfall Intensity Formula at Masan District (마산지방 확률강우강도식의 유도)

  • Kim, Ji-Hong;Bae, Deg-Hyo
    • Journal of Wetlands Research
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    • v.2 no.1
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    • pp.49-58
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    • 2000
  • The frequency analysis of annual maximum rainfall data and the derivation of probable rainfall intensity formula at Masan station are performed in this study. Based on the eight different rainfall duration data from 10 minutes to 24 hours, eight types of probability distribution (Gamma, Lognormal, Log-Pearson type III, GEV, Gumbel, Log-Gumbel, Weibull, and Wakeby distributions), three types of parameter estimation scheme (moment, maximum likelihood and probability weighted methods) and three types of goodness-of-fit test (${\chi}^2$, Kolmogorov-Smirnov and Cramer von Mises tests) were considered to find an appropriate probability distribution at Masan station. The Lognormal-2 distribution was selected and the probable rainfall intensity formula was derived by regression analysis. The derived formula can be used for estimating rainfall quantiles of the Masan vicinity areas with convenience and reliability in practice.

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The Application Assessment of Future Design Rainfall Estimation Method Using Scale Properties (스케일 특성을 이용한 미래 확률강우량 산정기법의 적용성 평가)

  • Lee, Moon-Hwan;Shin, Sang-Hoon;Bae, Deg-Hyo
    • Journal of Korea Water Resources Association
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    • v.45 no.3
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    • pp.253-262
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    • 2012
  • The objectives of this study are to suggest the method for estimation of sub-daily extreme rainfall under climate change using scale properties and to assess the application in the 6 major weather stations including Seoul site. First, the proposed method was assessed by past observations. As the results, absolute relative errors of probability rainfall quantiles estimated by frequency analysis and scale property method show approximately 10% in the all durations. And as the result of application climate scenario, absolute relative errors of rainfall quantiles between two method show approximately 20%. From the results, the scale property method on this study will be derive as the reliable results.

Application of EDA Techniques for Estimating Rainfall Quantiles (확률강우량 산정을 위한 EDA 기법의 적용)

  • Park, Hyunkeun;Oh, Sejeong;Yoo, Chulsang
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.4B
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    • pp.319-328
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    • 2009
  • This study quantified the data by applying the EDA techniques considering the data structure, and the results were then used for the frequency analysis. Although traditional methods based on the method of moments provide very sensitive statistics to the extreme values, the EDA techniques have an advantage of providing very stable statistics with their small variation. For the application of the EDA techniques to the frequency analysis, it is necessary to normalization transform and inverse-transform to conserve the skewness of the raw data. That is, it is necessary to transform the raw data to make the data follow the normal distribution, to estimate the statistics by applying the EDA techniques, and then finally to inverse-transform the statistics of transformed data. These statistics decided are then applied for the frequency analysis with a given probability density function. This study analyzed the annual maxima one hour rainfall data at Seoul and Pohang stations. As a result, it was found that more stable rainfall quantiles, which were also less sensitive to extreme values, could be estimated by applying the EDA techniques. This methodology may be effectively used for the frequency analysis of rainfall at stations with especially high annual variations of rainfall due to climate change, etc.

Derivation of Rainfall Intensity-Duration-Frequency Equation Based on the Approproate Probability Distribution (지속기간별 강우자료의 적정분포형 선정을 통한 확률강우강도식의 유도)

  • Heo, Jun-Haeng;Kim, Gyeong-Deok;Han, Jeong-Hun
    • Journal of Korea Water Resources Association
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    • v.32 no.3
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    • pp.247-254
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    • 1999
  • The frequency analyses of annual maximum rainfall data for 22 rainfall gauging stations is Korea were performed. The method of moments (MOM), maximum likelihood (ML), and probability weighted moments (PWM) were used in parameter estimation. The GEV distribution was selected as an appropriate model for annual maximum rainfall data based on parameter validity condition, graphical analysis, separation effect, and goodness of fit tests. For the selected GEV model, spatial analysis was performed and rainfall intensity-duration-frequency equation was derived by using linearization technique. The derived rainfall intensity-duration-frequency equation can be used for estimating rainfall quantiles of the selected stations with convenience and reliability in practice.

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Frequency Analysis of Daily Rainfall in Han River Basin Based on Regional L-moments Algorithm (L-모멘트법을 이용한 한강유역 일강우량자료의 지역빈도해석)

  • Lee, Dong-Jin;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.34 no.2
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    • pp.119-130
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    • 2001
  • At-site and regional frequency analyses of annual maximum 1-, 2-, and 3-days rainfall in Han River basin was performed and compared based on the regional L-moments algorithm. To perform regional frequency analysis, Han River basin was subdivided into 3 sub-basins such as South Han River, North Han River, and downstream regions. For each sub-basin, the discordancy and homogeneity tests were performed. As the results of goodness of fit tests, lognormal model was selected as an appropriate probability distribution for both South Han River and downstream regions and gamma-3 model for North han River region. From Monte carlo simulation, RBIAS and RRMSE of the estimated quantiles from regional frequency analysis and at-site frequency analysis were calculated and compared each other. Regional frequency analysis shows less RRMSE of the estimated quantiles than at-sites frequency analysis in overall return periods. The differences of BRMSE between two approaches increase as the return period increases. As a result, it is shown that regional frequency analysis performs better than at-site analysis for annual maximum rainfall data in Han River basin.

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Probabilistic Analysis of Independent Storm Events: 2. Return Periods of Storm Events (독립호우사상의 확률론적 해석 : 2. 호우사상의 재현기간)

  • Yoo, Chul-Sang;Park, Min-Kyu
    • Journal of the Korean Society of Hazard Mitigation
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    • v.11 no.2
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    • pp.137-146
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    • 2011
  • In this study, annual maximum storm events are evaluated by applying the bivariate extremal distribution. Rainfall quantiles of probabilistic storm event are calculated using OR case joint return period, AND case joint return period and interval conditional joint return period. The difference between each of three joint return periods was explained by the quadrant which shows probability calculation concept in the bivariate frequency analysis. Rainfall quantiles under AND case joint return periods are similar to rainfall depths in the univariate frequency analysis. The probabilistic storm events overcome the primary limitation of conventional univariate frequency analysis. The application of these storm event analysis provides a simple, statistically efficient means of characterizing frequency of extreme storm event.

Evaluation for usefulness of Chukwookee Data in Rainfall Frequency Analysis (강우빈도해석에서의 측우기자료의 유용성 평가)

  • Kim, Kee-Wook;Yoo, Chul-Sang;Park, Min-Kyu;Kim, Dae-Ha;Park, Sangh-Young;Kim, Hyeon-Jun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1526-1530
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    • 2007
  • In this study, the chukwookee data were evaluated by applying that for the historical rainfall frequency analysis. To derive a two parameter log-normal distribution by using historical data and modern data, censored data MLE and binomial censored data MLE were applied. As a result, we found that both average and standard deviation were all estimated smaller with chukwookee data then those with only modern data. This indicates that rather big events rarely happens during the period of chukwookee data then during the modern period. The frequency analysis results using the parameters estimated were also similar to those expected. The point to be noticed is that the rainfall quantiles estimated by both methods were similar, especially for the 99% threshold. This result indicates that the historical document records like the annals of Chosun dynasty could be valuable and effective for the frequency analysis. This also means the extension of data available for frequency analysis.

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Analysis on Meteorological Factors related to the Distribution of PM10 Concentration in Busan (부산지역 미세먼지 농도 분포에 따른 기상요소 분석)

  • Kim, Min-Kyoung;Jung, Woo-Sik;Lee, Hwa Woon;Do, Woo-Gon;Cho, Jung-Gu;Lee, Kwi-Ok
    • Journal of Environmental Science International
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    • v.22 no.9
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    • pp.1213-1226
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    • 2013
  • $PM_{10}$ concentration is related to the meteorological variables including to local and synoptic meteorology. In this study the $PM_{10}$ concentrations of Busan in 2007~2011 were analyzed and the days of yellow sand or rainfall which is more than 5 mm were excluded. The sections of $PM_{10}$ concentration were divided according to 10-quantiles, quartiles and 90-quantiles. The 90-quantiles of daily $PM_{10}$ concentration were selected as high concentration dates. In the high concentration dates the daily mean averaged cloudness, mean daily surface wind speed, daily mean surface pressure and PBL height were low and diurnal variation of surface pressure and daily maximum surface temperature were high. When the high $PM_{10}$ dates occurred, the west and south wind blew on the ground and the west wind blew strongly on the 850 hPa. So it seemed that long range transboundary air pollutants made effects on the high concentration dates. The cluster analysis using Hysplit model which is the backward trajectory was made on the high concentration dates. As a result, 3 clusters were extracted and on the short range transboundary cluster the daily mean relative humidity and cloudness were high and PBL height was low.