• Title/Summary/Keyword: 극치 분석

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Trend Analysis of Extreme Precipitation Using Quantile Regression (Quantile 회귀분석을 이용한 극대강수량 자료의 경향성 분석)

  • So, Byung-Jin;Kwon, Hyun-Han;An, Jung-Hee
    • Journal of Korea Water Resources Association
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    • v.45 no.8
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    • pp.815-826
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    • 2012
  • The underestimating trend using existing ordinary regression (OR) based trend analysis has been a well-known problem. The existing OR method based on least squares approximate the conditional mean of the response variable given certain values of the time t, and the usual assumption of the OR method is normality, that is the distribution of data are not dissimilar form a normal distribution. In this regard, this study proposed a quantile regression that aims at estimating either the conditional median or other quantiles of the response variable. This study assess trend in annual daily maximum rainfall series over 64 weather stations through both in OR and QR approach. The QR method indicates that 47 stations out of 67 weather stations are a strong upward trend at 5% significance level while OR method identifies a significant trend only at 13 stations. This is mainly because the OR method is estimating the condition mean of the response variable. Unlike the OR method, the QR method allows us flexibly to detect the trends since the OR is designed to estimate conditional quantiles of the response variable. The proposed QR method can be effectively applied to estimate hydrologic trend for either non-normal data or skewed data.

Spatio-Temporal Variability Analysis of Precipitation Data Through Circular Statistics (순환통계 분석을 통한 강수량 시계열의 시공간적 변동성 분석)

  • Kwon, Hyun-Han;Lee, Jeong-Ju
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2B
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    • pp.191-198
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    • 2010
  • Assessing seasonality of precipitation is necessarily required to establish future plans and policies for water resources management. In this regard, a main objective of the study is to introduce an effective approach for assessing the seasonality of the precipitation and evaluate the seasonality through the proposed one. We have used circular statistics to characterize the seasonality on the precipitation in Korea. The circular statistics allow us to effectively assess changes in timing of the seasonality in detail. It was found that peak time on monthly rainfall occurred between end of June and early July in southern coastal area while the timing was delayed in northern part of Korea because of monsoon moving in from south to north. In case of annual daily peak precipitation, spatio-temporal variation of the peak time was increased. It is mainly because of geophysical effects, frequency and paths of typhoons. Finally, temporal variations on the timing of the peak seasons were evaluated through circular statistics by 30-year moving average data. The peak season in the Northen part of Korea (e.g. Seoul and Gangrung) has been moved back from early July to end of July while the peak season has been moved up from middle of July to early July in the Southern part of Korea (e.g. Busan and Mokpo). It seems that changes in seasonality are mostly modulated by variability in the east-asia monsoon system.

Analysis of Extreme Rainfall Distribution Scenarios over the Landslide High Risk Zones in Urban Areas (도심지 토사재해 고위험지역 극치강우 시간분포 시나리오 분석)

  • Yoon, Sunkwon;Jang, Sangmin;Rhee, Jinyoung
    • Journal of The Korean Society of Agricultural Engineers
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    • v.58 no.3
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    • pp.57-69
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    • 2016
  • In this study, we analyzed the extreme rainfall distribution scenarios based on probable rainfall calculation and applying various time distribution models over the landslide high risk zones in urban areas. We used observed rainfall data form total 71 ASOS (Automated Synoptic Observing System) station and AWS (Automatic Weather Station) in KMA (Korea Meteorological Administration), and we analyzed the linear trends for 1-hr and 24-hr annual maximum rainfall series using simple linear regression method, which are identified their increasing trends with slopes of 0.035 and 0.660 during 1961-2014, respectively. The Gumbel distribution was applied to obtain the return period and probability precipitation for each duration. The IDF (Intensity-Duration-Frequency) curves for landslide high risk zones were derived by applying integrated probability precipitation intensity equation. Results from IDF analysis indicate that the probability precipitation varies from 31.4~38.3 % for 1 hr duration, and 33.0~47.9 % for 24 hr duration. It also showed different results for each area. The $Huff-4^{th}$ Quartile method as well as Mononobe distribution were selected as the rainfall distribution scenarios of landslide high risk zones. The results of this study can be used to provide boundary conditions for slope collapse analysis, to analyze sediment disaster risk, and to use as input data for risk prediction of debris flow.

Derivation of Drought Severity-Duration-Frequency Curves Using Drought Frequency Analysis (가뭄빈도해석을 통한 가뭄심도-지속시간-생기빈도 곡선의 유도)

  • Lee, Joo-Heon;Kim, Chang-Joo
    • Journal of Korea Water Resources Association
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    • v.44 no.11
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    • pp.889-902
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    • 2011
  • In this study, frequency analysis using drought index had implemented for the derivation of drought severity-duration-frequency (SDF) curves to enable quantitative evaluations of past historical droughts having been occurred in Korean Peninsular. Seoul, Daejeon, Daegu, Gwangju, and Busan weather stations were selected and precipitation data during 1974~2010 (37 years) was used for the calculation of Standardized Precipitation Index (SPI) and frequency analysis. Based on the results of goodness of fit test on the probability distribution, Generalized Extreme Value (GEV) was selected as most suitable probability distribution for the drought frequency analysis using SPI. This study can suggest return periods for historical major drought events by using newrly derived SDF curves for each stations. In case of 1994~1995 droughts which had focused on southern part of Korea. SDF curves of Gwangju weather station showed 50~100 years of return period and Busan station showed 100~200 years of return period. Besides, in case of 1988~1989 droughts, SDF of Seoul weather station were appeared as having return periods of 300 years.

Relationship Derivation for Rainfall Intensity - Duration - Frequency in Small Basin (소유역의 강우강도-지속기간-재현기간 관계식 유도)

  • Seo, Ju-Seok;Jang, Young-Sang;Jung, Hae-Geum;Yun, Sung-Jun;Kim, Min-Jung;Lee, Jong-Seok
    • Proceedings of the KAIS Fall Conference
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    • 2007.05a
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    • pp.91-94
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    • 2007
  • 본 연구는 소유역의 강수계측망별 빈도해석에 의한 확률강우량 예측으로 최적 설계홍수량을 추적하고자 한다 빈도해석은 대전유역내 지방기상청의 낮은 계측망 멸도와 13개 소구역으로 분할된 지자체의 높은 계측망 멸도에서 측정된 강우량 자료를 대상으로 하였다 해석에는 낮은 밀도의 한 지점에서 $1969{\sim}2005$년까지 36년간 자료와 높은 밀도의 13 개 지점에서 $2002{\sim}2006$년까지 6년간 자료를 연초과치 계열로 확장하여 각각 2개군으로 구성하였다 강우자료 분석결과 낮은 밀도의 지속기간 1시간에서 79.1mm, 장시간에서 327.0mm, 높은 밀도의 지속기간 1시간에서 85.0mm, 24시간에서 245.0mm로 나타났다. 본 연구에서는 Gumbel 분포와 2변수 Gamma 분포 및 일반극치분포, $2{\cdot}3$ 변수 대수정규분포, 2변수 Weibull 분포에 ${\chi}^2$검정, K-S 검정으로 적합도를 검정하여 Gumbel 분포가 가장 적합한 것으로 나타났다 유도된 강우강도-지속기간-재현기간 관계식은 소유역내 확률강우강도 예측과 설계홍수량 산정에 유용하게 사용될 수 있을 것이다.

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Study for Construction of Annual Maximum Storm Event Series from Chukwooki Rainfall Records (측우기자료의 연최대 호우사상 구축에 관한 연구)

  • Yoo, Chul-Sang;Park, Min-Kyu
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.274-278
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    • 2008
  • 현대 강우관측 자료를 빈도분석할 때 나타나는 가장 큰 문제는 관측기간이 짧기 때문에 고빈도 확률강우량 추정이나 장기간의 경향성 예측시 신뢰성 부족하다는 점이다. 본 연구에서는 이러한 현대 강우자료의 문제점를 보완하기 위한 방법으로 측우기 관측기록을 활용하기 위한 방안을 검토하였다. 빈도해석을 통한 확률강우량의 결정을 위해서는 연최대치 계열의 작성이 선행되어야 한다. 측우기 강우자료는 강우시작시점과 종료시점 그리고 그 사이의 강우량으로 구성된 펄스 형태로 기록되어 있기 때문에 이를 이용하여 빈도해석을 하려면 전통적인 빈도해석 방법과는 다르게 독립호우사상을 적절하게 정의하는 것이 필요하다. 독립호우사상에 대한 기존 연구결과에 기초하여 무강우지속기간 10시간을 기준으로 측우기 관측기록과 현대 관측기록으로부터 이를 추출한 후 총강우량과 강우강도 두 가지를 대상으로 이변량 지수분포를 적용하였다. 그리고 각 호우사상의 재현기간을 산정하고, 연도별로 최대 재현기간을 가지는 호우사상을 연최대 호우사상으로 결정하였다. 이변량 지수분포의 매개변수 산정시 전기간에 대해 매개변수를 산정하는 경우보다 연도별로 매개변수를 산정하는 경우가 강우발생의 변동양상 및 수문학적인 극한호우의 정의를 반영하기에 적합한 것으로 검토되었고 또한 그로 인해 얻어진 연최대 호우사상이 이변량 극치분포를 보다 잘 따르는 것으로 나타났다. 연도별 매개변수 추정결과를 우기해와 건기해로 나누어 살펴보면 우기해에는 강우강도가 재현기간 산정에서 상대적으로 영향이 크고, 건기해에는 총강우량과 관련된 영향이 큰 것으로 나타났다. 연최대 호우사상의 변동성을 살펴보면 현대자료에서 강우지속기간은 점점 증가하고 강우강도는 감소하며 이에 따른 호우사상의 총강우량은 증가하는 특징을 보였다. 그러나 측우기 자료에서는 이러한 변화양상이 반복순환하는 것으로 나타났으며 이와 관련된 별도의 연구가 필요할 것으로 판단된다. 본 연구의 결과는 측우기 자료를 이용한 빈도해석의 선행작업으로서 연최대 호우사상 계열의 결정 과정을 살펴보았으며 이렇게 얻어진 연최대 호우사상은 현대자료와 어우러져 보다 신뢰성 높은 설계호우사상을 결정하는데 도움이 될 것으로 기대된다.

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Frequency Analysis of Extreme High Water Level at Mokpo Harbor Considering Tidal Environment Changes (조석환경변화를 고려한 목포항의 고극조위 산정)

  • 강주환;문승록
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.4
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    • pp.203-209
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    • 2000
  • Mokpo coastal zone suffers from increase of tidal amplitude by the reclamation projects of Youngsan River Scadike, Youngam and Keumho Seawalls, resulting inundation oflower lands. Tidal records at Mokpo harbor show jumps just after each construction not only in the mcan high water level but also in extreme one. Thus the design water levels must be newly estimated by a frequency analysis with the data of period after the last construction. But this period is at most 6 years yet, which restrains the normal frequency analysis. In this paper, new approach of converting the past data to the present one by a numerical model is proposed. Converted 32 years and observed 6 years data enables normal frequency analysis.

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Determination of Design Waves along the South Coast of Korea (한국남해만에서의 설계파의 결정)

  • 김태인;최한규
    • Water for future
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    • v.21 no.4
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    • pp.389-397
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    • 1988
  • For determination of the design wves at the seven selected sites in the South Sea, a method of hindcasting the past annual largest significant waves from the records of both the wind speed at the nearby weather stations and the weather charts of typhoons are utilized. The design significant waves in deep water are determined through the extremal probability analysis for three major wave directions(SW, S, SE) at each site from the annual extremal series of wave heights. Design significant wave heights with the return period of 100 years ranged between 4.6m and 8.8m with the wave period ranging between 8.2 seconds and 12.9 seconds. Through the analysis of weather maps, both the fetches for the wind directions SW-SE along the South Coast and the relationship between the wind speed at sea and the wind speed at the nearby land weather stations for seasonal winds are determined. The wind speed at sea are found to be 0.8-0.9 times the wind speed at the land stations for $U_1$>15m/s. The ratio of the duration-averaged wind speed to the maximum wind speed varies between 0.7-0.9 as a negative exponential function for the duration ranging 2< t< 13 hours.

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Derivation of Intensity-Duration-Frequency and Flood Frequency Curve by Simulation of Hourly Precipitation using Nonhomogeneous Markov Chain Model (비동질성 Markov 모형의 시간강수량 모의 발생을 이용한 IDF 곡선 및 홍수빈도곡선의 유도)

  • Choi, Byung-Kyu;Oh, Tae-Suk;Park, Rae-Gun;Moon, Young-Il
    • Journal of Korea Water Resources Association
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    • v.41 no.3
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    • pp.251-264
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    • 2008
  • In this study, a nonhomogeneous markov model which is able to simulate hourly rainfall series is developed for estimating reliable hydrologic variables. The proposed approach is applied to simulate hourly rainfall series in Korea. The simulated rainfall is used to estimate the design rainfall and flood in the watershed, and compared to observations in terms of reproducing underlying distributions of the data to assure model's validation. The model shows that the simulated rainfall series reproduce a similar statistical attribute with observations, and expecially maximum value is gradually increased as number of simulation increase. Therefore, with the proposed approach, the non-homogeneous markov model can be used to estimate variables for the purpose of design of hydraulic structures and analyze uncertainties associated with rainfall input in the hydrologic models.

Improvement of Huff's Method Considering Severe Rainstorm Events (집중호우 사상을 고려한 Huff의 4분위법 개선방안)

  • Choi, Soyung;Joo, Kyungwon;Shin, Hongjoon;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.47 no.11
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    • pp.985-996
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    • 2014
  • When designing hydraulic structures, the chosen method of time distribution in a hyetograph is highly significant. There are several methods used for measuring time distribution. In the case of Huff (1967), which is widely used in Korea, the Ministry of Construction and Transportation (MOCT, 2000), and the Ministry of Land, Transport and Maritime Affairs (MOLTMA, 2011) have long been increasing their use of this method. The MOLTMA uses the conventional Huff method's measurement of 1 inch (25.4 mm) as the threshold. Many researchers have pointed out that this method often leads to underestimation, because of the excessive flatness. Therefore, for this study, a new time distribution method was developed to analyze only extreme rainfall events-those over the standard of severe rainstorms (that is, more than 30 mm per hour or 80 mm per day)-and that was verified using a rainfall-runoff model and applying it to a real basin.