• Proceedings of the Korea Water Resources Association Conference
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• 2021.06a
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• pp.75-75
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• 2021

본 연구는 기후변화에 따른 강우현상의 극한화에 대응한 도시치수규모 설정 방안에 대한 연구이다. 발생가능한 모든 강우상태를 강우지속시간과 강우량 매트릭스로 구성하고 모든 강우상태에 대한 침수규모를 사전에 산정한 후 도시침수 상태를 추정하는 2변수(강우량, 강우지속시간) 회귀식을 개발하였다. 치수규모 결정을 위해서 지금까지 사용해 오던 "발생빈도" 기준의 극치통계의 개념적, 공학적 의미를 재해석하여 물리적으로 의미가 있는 "침수 특성치" 기준으로 대전환하자는 것이다. 기술적으로 가능해졌기 때문이다. 도시유역의 침수를 정량적(침수심, 침수면적)으로 모의할 수 있는 방법을 제시하기 위한 침수상태의 기준이 될 침수특성치로는 관로첨두유출량, 최대침수면적, 침수총량, 평균침수심, 특정지점의 최대침수심, 특정지점의 침수지속시간 등 6가지를 선정하였다. 우리나라에서 발생가능한 모든 강우상태에 대한 침수 발생 가능성을 점검하여 침수특성치를 분석하고 해당 유역의 "물리적/사회적 특성"을 고려한 "사회적 합의"에 의해 "감당할 수 있는 피해의 정도"에 맞춘 도시유역 치수계획규모를 설정하는 방안을 확립하는 것이다. 또 결과로 구해지는 다음과 같은 형태의 유역별 침수특성치 산정식(2변수 회귀식)을 각 유역별로 구해 놓으면 기상예보(강우지속시간-강우량)에 따라 유역의 침수 특성치를 쉽게 추정하여 사전에 확립해둔 방재대책을 시행할 수 있게 한다.

• Water for future
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• v.29 no.2
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• pp.179-190
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• 1996

The characteristics of water quality in the downstream of the Han River were analyzed by statistical techniques. Basic characteristics, areal and temporal variations, and correlations of water quality data were investigated. Monthly water quality data have been investigated systematically by exploring data analysis, including time series plot, summary statistics, distribution test, time dependence test, seasonality test and flow relatedness test. Results show that water quality data in this river have seasonality. And applicability of stochastic models such as Thomas-Fiering model and ARMA(1,1) model was identified. From the examination of water quality data related to discharge, it was found that DO and SS are sensitive to water temperature rather than discharge, while BOD and COD are sensitive to discharge at dry seasons. Seasonal periodicities were identified in all water quality variables from the cross correlation analysis.

• Magazine of the Korean Society of Agricultural Engineers
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• v.37 no.2
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• pp.31-40
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• 1995

This study was conducted to get best fitting frequency distribution for the annual run- off and to simulate long series of annual flows by single-season first order Markov Model with comparison of statistical parameters which were derived from observed and synthetic flows at four watersheds in Seom Jin and Yeong San river systems. The results summarized through this study are as follows. 1. Hydrologic persistence of observed flows was acknowledged by the correlogram analysis. 2. A normal distribution of the annual runoff for the applied watersheds was confirmed as the best one among others by Kolmogorov-Smirnov test. 3. Statistical parameters were calculated from synthetic flows simulated by normal dis- tribution. In was confirmed that mean and standard deviation of simulated flows are much closer to those of observed data than except coefficient of skewness. 4. Hydrologic persistence between observed flows and synthetic flows simulated was also confirmed by the correlogram analysis. 5. It is to be desired that generation technique of synthetic flow in this study would be compared with other simulation techniques for the objective time series.

• Journal of Korea Water Resources Association
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• v.30 no.2
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• pp.155-163
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• 1997

In this study, drought analysis of annual flows of Jindong, Hyunpoong, and Waekwan stations located at Nakdong River Basins was performed based on multivariate stochastic models. The stochastic models used were multivariate autoregressive model (MAR) and multivariate contemporaneous (MCAR) model. MCAR(1) and MAR(1) models were selected to be a appropriate models for these stations based on skewness test of normality, test of uncorrelated residuals, and correlograms of the residual series of each model. The statistics generated by MCAR(1) model and MAR(1) model resembled very closely those computed from historical series. The drought characteristics such as run len호, run sum, and run intensity were fairly well reproduced for the various lengths of generated annual flows based on the MCAR(1) and MAR(1) models. Thus, these drought characteristics may give the important informations in planning mid or long term water supplying systems.

• Water for future
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• v.18 no.1
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• pp.75-83
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• 1985

The applicability of ARMA(1, 1) multiseason model, which is in the beginning stage of active researches in the field of synthetic generation is evaluated with the streamflow data at the Nakdong stage gauging station on the main stem of the Nakdong River. The method of parameter estimation for the modelis reviewed and the statistical analysis of the generated seasonal streamflows such as corrlogram analysis and the computation of moments is made. The results obtained by ARMA(1, 1) multiseason model are compared with the historical streamflow data and also with those by two other multiseason models, namely, Thomas-Fiering model and Matalas AR(1) multiseason model. The seasonal streamflows grnerated by three multiseason models were annually summed up to form respective annual flow series whose statistics were compared with those of the annual flow series generated by three annual models, namely, AR(1), Matalas AR(1), and ARMA(1, 1) annual models. The possibility of ARMA(1, 1) multiseason model for the simultaneous generation of seasonal and annual streamflows is also evaluated.

• Water for future
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• v.24 no.4
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• pp.59-66
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• 1991

Abstract The purpose of the synthetic of monthly river flows based on the short-term observed data by means of multivariate stochastic models is to provide abundunt input data to the water resources systems of which the system performance and operation policy are to be determined beforehand. In this study, multivariate Thomas-Fiering and Matalas models for synthetic generation based on stream flows in neihboring basin were employed to check if it can be applide in the modeling of monthly flows. Statistical parameters estimated by Method of Moment and Fourier Series Analysis respectively were reproduced for statistical features. For comparisons the statistical parameters of the generated monthly flow by each model were compared with those of the observed monthly flows. Results of this study suggest that the application of Matalas model for synthetic generation of monthly river flows can be adapted.

• The Korean Journal of Applied Statistics
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• v.31 no.1
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• pp.1-11
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• 2018

Multivariate process control has become important in various applied fields. For instance, there are many situations in which the simultaneous monitoring of multivariate quality characteristics is necessary for the manufacturing industry. Despite its importance, its practical usage is not as convenient because it is difficult to identify the source of the out-of-control signal in a multivariate control chart. In this paper, we will introduce how to detect the source of the out-of-control by using confidence intervals for new observations, and will discuss the identification and interpretation of the out-of-control variable through simulation studies.

• Magazine of the Korean Society of Agricultural Engineers
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• v.35 no.3
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• pp.117-129
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• 1993

This study was conducted to get reasonable and abundant hydrological time series of monthly flows simulated by a best fitting stochastic simulation model for the establishment of rational design and the rationalization of management for agricultural hydraulic structures including reservoirs. Comparative analysis carried out for both statistical characteristics and synthetic monthly flows simulated by the multi-season first order Markov model based on Gamma distribution which is confirmed as good one in the first report of this study and by Harmonic synthetic model analyzed in this report for the six watersheds of Yeong San and Seom Jin river systems. 1.Arithmetic mean values of synthetic monthly flows simulated by Gamma distribution are much closer to the results of the observed data than those of Harmonic synthetic model in the applied watersheds. 2.In comparison with the coefficients of variation, index of fluctuation for monthly flows simulated by two kinds of synthetic models, those based on Gamma distribution are appeared closer to the observed data than those of Harmonic synthetic model both in Yeong San and Seom Jin river systems. 3.It was found that synthetic monthly flows based on Gamma distribution are considered to give better results than those of Harmonic synthetic model in the applied watersheds. 4.Continuation studies by comparison with other simulation techniques are to be desired for getting reasonable generation technique of synthetic monthly flows for the various river systems in Korea.

• Water for future
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• v.18 no.4
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• pp.335-345
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• 1985

The purpose of stochastic models for synthetic generation of river flows based on the short-term observed data is to provide abundant input data to the water resources systems of which the system performance and operation policy are to be determined beforehand. Among many of such models the Monte Carlo Method of synthetic generation, which is usually known to be appropriate for annual data generation, is employed to check if it can be applied for the generation of monthly flows. For the purpose of comparisons the statistical parameters of the generated monthly flows by Monte Carlo model based on the appropriate probability distribution for each month were compared with those of the generated flows by Thoms-Fiering multiseason model and with those of the observed monthly flows. On the other hand, the statistical parameters of the annual river flows obtained by adding the generated monthly flows year by year based on the Monte Carlo and Thomas-Fiering models were compared with those of the annual flows generated directly by annual Monte Carlo model with reference to those for the observed annual river flows. Based on the above comparative studies, the discussions are made and conclusions derived.

• Proceedings of the Korea Water Resources Association Conference
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• 2010.05a
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• pp.1420-1424
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• 2010

강수량의 계절성은 수자원관리에 있어 매우 중요한 수문요소로서 계절성의 변동을 정량적으로 평가하는 것은 미래 수자원관리 및 정책 수립에 필수적이다. 이러한 점에서 본 연구의 목적은 강수량의 계절성을 평가하는데 유리한 방법론을 제시하고, 이를 통한 계절 변동성의 정량적인 해석을 목적으로 한다. 본 연구에서 적용한 순환통계치 분석은 시간을 각도로 변환하여 이용함으로써 미세한 시간적인 변화양상의 정량적인 해석이 가능한 방법이다. 강수량의 주기특성과 과거로부터 현재까지의 변화 양상을 평가하기 위해서, 우선 전국의 58개 강우관측소를 선별하고 각 관측소의 일강우자료를 이용하여 관측소별 연최대치계열(Annual maxima series)과 발생일자, 월최대강수계열(Monthly maxima series)과 발생일자를 추출하였다. 각 자료의 발생일자는 순환통계분석을 위해 해당 time scale을 한 주기로 하는 방향각 데이터로 변환하였으며, 변환된 시간속성 데이터의 통계특성치를 산정하여 발생시기에 대한 경향성을 분석하였다. 월최대강수량의 발생 시기는 자료 계열 연주기의 변동성을 평가하기 위해 사용되었고, 분석결과 남해안지역이 6월말에서 7월초이고, 북쪽으로 올라감에 따라 조금씩 발생시기가 늦어지는 것으로 분석되었다. 극치강수량의 발생 경향을 평가하기 위해 사용된 일최대강수량의 시공간적 변동성은 월최대강수량보다 크게 분석되었으며, 이는 일최대강수량의 경우 지형학적인 영향에 크게 좌우되며, 우리나라의 여름철 극치강수량이 태풍 발생빈도 및 경로와 연관성을 갖는다는 일반적인 사실을 반영한 결과라고 판단된다. 월최대강수량 및 일최대강수량 발생시기의 이동평균을 통해 발생시기의 변동을 분석한 결과, 서울과 강릉지방은 최대강수량의 발생시점이 늦어지고 있으며 반대로 목포와 부산지방은 최대강수량의 발생시점이 앞당겨지고 있었다. 이는 몬순시스템의 거동에 영향을 받는 것으로 사료된다.