• Title/Summary/Keyword: GEV

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An Analysis of Daily Maximum Traffic Accident Using Generalized Extreme Value Distribution (일반화 극단치분포를 이용한 일 최대 교통사고 분석)

  • Kim, Junseok;Kim, Daesung;Yoon, Sanghoo
    • Journal of Digital Convergence
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    • v.18 no.10
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    • pp.33-39
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    • 2020
  • In order to cope with traffic accidents efficiently, the maximum number of traffic accidents, deaths and serious injuries that can occur during the day should be presented quantitatively. In order to examine the characteristics of traffic accidents in different regions, it was divided into the Seoul metropolitan area, Chungcheong area, Gyeongbuk area, Honam area, and Gyeongnam area and was suitable for the generalized extreme value distribution (GEV). The parameters of the GEV distribution were estimated by the L-moments, and the Anderson-Darling test and the Cramer-von Mises test confirmed the suitability of the distribution. According to the analysis, the maximum number of traffic accidents that can occur once every 50 years is 401 in the Seoul metropolitan area, 168 in the South Gyeongsang region, 455 in the North Gyeongsang region, 136 in the Chungcheong region and 205 in the South Jeolla region. Compared to the Seoul metropolitan area, which has a large population and car registration, the number of traffic accidents is relatively high due to the large area, mountainous areas, and logistics movement caused by the industrial complex.

Concept of Seasonality Analysis of Hydrologic Extreme Variables and Design Rainfall Estimation Using Nonstationary Frequency Analysis (극치수문자료의 계절성 분석 개념 및 비정상성 빈도해석을 이용한 확률강수량 해석)

  • Lee, Jeong-Ju;Kwon, Hyun-Han;Hwang, Kyu-Nam
    • Journal of Korea Water Resources Association
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    • v.43 no.8
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    • pp.733-745
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    • 2010
  • Seasonality of hydrologic extreme variable is a significant element from a water resources managemental point of view. It is closely related with various fields such as dam operation, flood control, irrigation water management, and so on. Hydrological frequency analysis conjunction with partial duration series rather than block maxima, offers benefits that include data expansion, analysis of seasonality and occurrence. In this study, nonstationary frequency analysis based on the Bayesian model has been suggested which effectively linked with advantage of POT (peaks over threshold) analysis that contains seasonality information. A selected threshold that the value of upper 98% among the 24 hours duration rainfall was applied to extract POT series at Seoul station, and goodness-fit-test of selected GEV distribution has been examined through graphical representation. Seasonal variation of location and scale parameter ($\mu$ and $\sigma$) of GEV distribution were represented by Fourier series, and the posterior distributions were estimated by Bayesian Markov Chain Monte Carlo simulation. The design rainfall estimated by GEV quantile function and derived posterior distribution for the Fourier coefficients, were illustrated with a wide range of return periods. The nonstationary frequency analysis considering seasonality can reasonably reproduce underlying extreme distribution and simultaneously provide a full annual cycle of the design rainfall as well.

Prospect of extreme precipitation in North Korea using an ensemble empirical mode decomposition method (앙상블 경험적 모드분해법을 활용한 북한지역 극한강수량 전망)

  • Jung, Jinhong;Park, Dong-Hyeok;Ahn, Jaehyun
    • Journal of Korea Water Resources Association
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    • v.52 no.10
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    • pp.671-680
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    • 2019
  • Many researches illustrated that the magnitude and frequency of hydrological event would increase in the future due to changes of hydrological cycle components according to climate change. However, few studies performed quantitative analysis and evaluation of future rainfall in North Korea, where the damage caused by extreme precipitation is expected to occur as in South Korea. Therefore, this study predicted the extreme precipitation change of North Korea in the future (2020-2060) compared to the current (1981-2017) using stationary and nonstationary frequency analysis. This study conducted nonstationary frequency analysis considering the external factors (mean precipitation of JFM (Jan.-Mar.), AMJ (Apr.-Jun.), JAS (Jul.-Sept.), OND (Oct.-Dec.)) of the HadGEM2-AO model simulated according to the Representative Concentration Pathway (RCP) climate change scenarios. In order to select external factors that have a similar tendency with extreme rainfall events in North Korea, the maximum annual rainfall data was obtained by using the ensemble empirical mode decomposition (EEMD) method. Correlation analysis was performed between the extracted residue and the external factors. Considering selected external factors, nonstationary GEV model was constructed. In RCP4.5, four of the eight stations tended to decrease in future extreme precipitation compared to the present climate while three stations increased. On the other hand, in RCP8.5, two stations decreased while five stations increased.

Application for the Selection Criteria of Apppropriate Probability Distribution (적정 확률분포형 선정기준의 적용성에 관한 연구)

  • Kim, Soo-Young;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.169-173
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    • 2006
  • 일반적으로 확률수문량을 산정하기 위해서는 수문자료에 대해 빈도해석을 실시한 후 확률수문량을 산정하게 된다. 재현기간이 커질수록 확률분포형에 따라 확률수문량의 값은 많은 차이를 나타내므로 적정 확률분포형의 선정은 매우 중요하다고 할 수 있다. 적정 확률분포형의 선정은 객관적인 기준에 의해 이루어져야 하나, 적정 확률분포형의 선정에 있어 명확한 기준이 마련되어 있지 않아 실무에서 확률수문량을 산정할 때 많은 어려움을 겪고 있는 실정이다. 따라서 본 연구에서는 적정 확률분포형의 선정기준으로 제시되어 있는 검정통계량을 이용한 방법의 적용성을 비교 검토하고자 한다. 이를 위해 우리나라에서 널리 사용되고 있는 Gumbel, GEV 분포형과 Weibull, Generalized logistic 분포형을 선택하고 각각의 분포형에 대해 자료의 크기별 모의를 통해 자료를 발생시킨 후 빈도해석을 수행하고, 적합도 검정 단계에서 산출되는 검정통계량을 비교하여 적정 확률분포형을 선정하여 적용성을 검토하고자 한다. 결과적으로 자료 발생에 이용된 분포형과는 관계없이 자료수가 작을수록 2변수 gamma, 자료수가 많을수록 5변수 Wakeby가 제일 많이 선정되는 것으로 나타났으며, Gumbel, GEV, generalized logistic 분포형의 경우는 대체로 자료의 수가 많아질수록 선정되는 빈도가 많은 것으로 나타났다.

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Bias Correction of RCP-based Future Extreme Precipitation using a Quantile Mapping Method ; for 20-Weather Stations of South Korea (분위사상법을 이용한 RCP 기반 미래 극한강수량 편의보정 ; 우리나라 20개 관측소를 대상으로)

  • Park, Jihoon;Kang, Moon Seong;Song, Inhong
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.6
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    • pp.133-142
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    • 2012
  • The objective of this study was to correct the bias of the Representative Concentration Pathways (RCP)-based future precipitation data using a quantile mapping method. This method was adopted to correct extreme values because it was designed to adjust simulated data using probability distribution function. The Generalized Extreme Value (GEV) distribution was used to fit distribution for precipitation data obtained from the Korea Meteorological Administration (KMA). The resolutions of precipitation data was 12.5 km in space and 3-hour in time. As the results of bias correction over the past 30 years (1976~2005), the annual precipitation was increased 16.3 % overall. And the results for 90 years (divided into 2011~2040, 2041~2070, 2071~2100) were that the future annual precipitation were increased 8.8 %, 9.6 %, 11.3 % respectively. It also had stronger correction effects on high value than low value. It was concluded that a quantile mapping appeared a good method of correcting extreme value.

A Study on the Evaluation of Rainfall Quantile using Probability Distribution Parameter Map (확률분포 모수선도를 이용한 확률강우량 산정에 관한 연구)

  • Lee, Jung-Sik;Shin, Chang-Dong;Lee, Bong-Seok
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.1155-1159
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    • 2008
  • 본 연구는 강우의 자료년수가 부족하거나 미계측 지점에서의 확률강우량 산정을 위하여 충분한 강우자료가 확보된 지점들의 강우분석을 수행하였다. 30년 이상의 강우기록을 보유한 기상청 산하 57개 강우관측지점에서 12개 지속기간에 대한 연최대치 강우자료를 대상으로 확률분포형 분석을 실시하여 대표확률분포형을 선정한다. 지점별 지속기간의 대표확률분포형 모수를 확인하고 이를 도시하여 국내 전역에 대한 확률분포 모수선도를 작성하였다. 본 연구의 수행으로 인해 얻어진 결과를 요약하면 다음과 같다. 첫째, 전국 57개 지점에 대한 강우분석 결과, 적용한 16개 분포형 중에서 GEV 분포의 적합도가 가장 우수한 것으로 나타났으며, GEV 분포의 모수를 이용한 지속기간별 확률분포 모수선도를 제시하였다. 둘째, 확률분포 모수선도를 이용한 확률강우량과 기존 연구결과의 확률강우량과는 차이는 대부분 기존 연구보다 과다 산정되게 발생하였다. 셋째, 확률분포 모수선도의 활용으로 기존의 연구에서 산정하기 어려웠던 미계측 지점에서의 확률강우량을 보다 편리하게 구할 수 있었으며, 기존의 연구와 비교하였을 때 산정된 확률강우량의 편차가 적어 미계측 지점에서의 확률강우량 산정 시 효율적인 방법이 될 수 있을 것이다.

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Construction of Intensity-Duration-Frequency Curve Using a Spatial-Temporal Downscaling Approach of GCM (GCM의 시간적, 공간적 축소화기법 이용한 미래의 IDF곡선 생성)

  • Oh, Jin-Ho;Chung, Eun Sung;Lee, Kil Seong
    • 한국방재학회:학술대회논문집
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    • 2011.02a
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    • pp.175-175
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    • 2011
  • IDF 곡선은 수리구조물의 설계에 이용되며 본 연구에서는 기후변화를 고려한 GCM의 시간적 공간적 축소화기법을 통하여 미래의 IDF 곡선을 생성하였다. GCM자료로는 HadCM3과 CGCM3의 지역주의와 경제발전을 지향하는 A2시나리오를 이용하였다. GCM자료에 대한 공간적인 축소화기법으로 다중회귀 모형인 SDSM(Statistical DownScaling Model)을 이용하여 2030년, 2050년, 2080년의 미래의 일강우 자료를 생성하였다. 이를 다시 시간적 축소화기법인 GEV분포를 이용한 Scaling-Invariance기법을 적용하여 시단위의 강우자료를 생성하였다. 이를 통해 최종적으로 HadCM3과 CGCM3에 대한 각각 미래의 IDF곡선을 생성하였다. CGCM3의 경우 지속적인 강우강도의 증가를 보였지만 HadCM3의 경우 2050년대 감소하다 2080년대 다시 증가하는 양상을 보였다. 또한 CGCM3의 경우 HadCM3의 경우보다 좀 더 높은 강우 강도를 보였다. 본 연구의 대상지역은 서울지역이며 생성된 자료의 신뢰성을 확보하기위하여 서울기상관측소의 1961년부터~2000년까지의 일단위 강우자료를 이용하여 검 보정을 수행하였다.

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Determination of Proper Probability Distribution for Groundwater Monitoring Stations in Jeju Island (제주도 지하수위 관측지점별 적정 확률분포형의 결정)

  • Chung, Il-Moon;Nam, Woosung;Kim, Min Gyu;Choi, Gian;Kim, Gee-Pyo;Park, Yun-Seok
    • Journal of Soil and Groundwater Environment
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    • v.23 no.1
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    • pp.41-53
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    • 2018
  • Comprehensive statistical analysis for the 127 groundwater monitoring stations in Jeju Island during 2005~2015 was carried out for the re-establishment of management groundwater level. Three probability distribution functions such as normal distibution, GEV (General Extreme Value) distribution, and Gumbel distribution were applied and the maximum likelihood method was used for parameter estimation of each distribution. AIC (Akaike information criterion) was calculated based on the estimated parameters to determine the proper probability distribution for all 127 stations. The results showed that normal distribution and Gumble distribution were found in 11 stations. Whereas GEV distribution were found in 105 stations, which covered most of groundwater monitoring stations. Therefore, confidence levels should be established in accord with the proper probability distribution when groundwater level management is determined.