Effect and uncertainty analysis according to input components and their applicable probability distributions of the Modified Surface Water Supply Index

Suk Hwan Jang; Jae-Kyoung Lee; Ji Hwan Oh; Joon Won Jo

doi:10.3741/JKWRA.2017.50.7.475

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Effect and uncertainty analysis according to input components and their applicable probability distributions of the Modified Surface Water Supply Index Modified Surface Water Supply Index의 입력인자와 적용 확률분포에 따른 영향과 불확실성 분석

31 July 2017. pp. 475-488

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Abstract

To simulate accurate drought, a drought index is needed to reflect the hydrometeorological phenomenon. Several studies have been conducted in Korea using the Modified Surface Water Supply Index (MSWSI) to simulate hydrological drought. This study analyzed the limitations of MSWSI and quantified the uncertainties of MSWSI. The influence of hydrometeorological components selected as the MSWSI components was analyzed. Although the previous MSWSI dealt with only one observation for each input component such as streamflow, ground water level, precipitation, and dam inflow, this study included dam storage level and dam release as suitable characteristics of the sub-basins, and used the areal-average precipitation obtained from several observations. From the MSWSI simulations of 2001 and 2006 drought events, MSWSI of this study successfully simulated drought because MSWSI of this study followed the trend of observing the hydrometeorological data and then the accuracy of the drought simulation results was affected by the selection of the input component on the MSWSI. The influence of the selection of the probability distributions to input components on the MSWSI was analyzed, including various criteria: the Gumbel and Generalized Extreme Value (GEV) distributions for precipitation data; normal and Gumbel distributions for streamflow data; 2-parameter log-normal and Gumbel distributions for dam inflow, storage level, and release discharge data; and 3-parameter log-normal distribution for groundwater. Then, the maximum 36 MSWSIs were calculated for each sub-basin, and the ranges of MSWSI differed significantly according to the selection of probability distributions. Therefore, it was confirmed that the MSWSI results may differ depending on the probability distribution. The uncertainty occurred due to the selection of MSWSI input components and the probability distributions were quantified using the maximum entropy. The uncertainty thus increased as the number of input components increased and the uncertainty of MSWSI also increased with the application of probability distributions of input components during the flood season.

Keywords

MSWSI

Uncertainty quantification

Maximum entropy

정확히 가뭄을 모의하기 위해서는 수문기상학적 현상을 반영할 수 있는 가뭄지수가 필요하며, 국내에서 수문학적 가뭄을 모의하기 위해 MSWSI (Modified Surface Water Supply Index)를 활용한 여러 연구가 진행되었다. 본 연구에서는 MSWSI의 한계점을 분석하고 MSWSI의 불확실성을 정량화하였다. 우선 MSWSI 인자로서 활용가능한 수문기상인자의 선정에 따른 영향을 분석하였다. 기존 MSWSI에 적용한 하천유량, 지하수위, 강수, 댐유입량의 4개 입력인자별로 하나의 관측소자료만을 이용하였으나 본 연구에서는 중권역별 특성에 맞도록 댐저수위와 댐방류량도 포함하였으며, 여러 관측소의 자료를 취득하여 면적평균자료를 사용하였다. 2001년과 2006년 가뭄사례에 대해 MSWSI 모의검증 결과, 본 연구의 MSWSI가 실측수문기상자료의 경향을 더 잘 반영하여 가뭄을 모의하였으며, MSWSI 인자의 선정이 가뭄모의 정확성에 영향을 주는 것으로 나타났다. 다음으로 MSWSI 인자에 적용하는 확률분포의 선정에 따른 영향을 분석하였다. 강수자료는 Gumbel와 GEV 분포, 하천자료는 정규분포와 Gumbel 분포, 댐자료는 2-매개변수 대수정규분포와 Gumbel, 지하수는 3-매개변수 대수정규분포를 따르는 것으로 나타났다. 이에 따라 중권역별로 최대 36개의 MSWSI를 산정하였으며, 확률분포의 선정에 따라 MSWSI 범위가 매우 다르게 나타나 어떠한 확률분포을 적용하느냐에 따라 MSWSI 결과는 매우 달라질 수 있음을 확인하였다. 마지막으로 maximum entropy를 이용하여 MSWSI 입력인자의 선정과 입력인자별 확률분포 선정의 영향에 따른 불확실성을 정량화하였다. 분석결과, 입력인자의 수가 많이 적용될수록 불확실성은 증가하는 것으로 나타났으며, 홍수기에 MSWSI 입력인자별 확률분포 적용에 따라 MSWSI의 불확실성이 증가하는 것으로 나타났다.

키워드

MSWSI

불확실성 정량화

Maximum entropy

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Information

Publisher :KOREA WATER RESOURECES ASSOCIATION
Publisher(Ko) :한국수자원학회
Journal Title :Journal of Korea Water Resources Association
Journal Title(Ko) :한국수자원학회 논문집
Volume : 50
No :7
Pages :475-488
Received Date : 2017-03-16
Revised Date : 2017-05-23
Accepted Date : 2017-05-31
DOI :https://doi.org/10.3741/JKWRA.2017.50.7.475

Journal of Korea Water Resources Association ISSN:2799-8746(Print) 2799-8754(Online) 한국수자원학회 논문집

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