Kernel quantite function estimator for flood frequency analysis

Moon, Young‐Il; Lall, Upmanu

doi:10.1029/94wr01217

Cited by 73 publications

(53 citation statements)

References 37 publications

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“…The PDF can be determined by parametric and nonparametric methods. As there is no universally accepted distribution for hydrological variables (Silverman 1986;Moon and Lall 1994;Smakhtin 2001), two estimations can be used for each sample distribution. In this study, we calculated the return period by using the parametric method for estimating the PDF, as suggested by Kim et al (2003), and we also considered the effect of the drought duration and severity on the return period.…”

Section: Analysis Methodsmentioning

confidence: 99%

Spatiotemporal Characteristics of Drought Occurrences over Japan

Lee¹,

Byun²,

Tanaka³

2012

Journal of Applied Meteorology and Climatology

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The drought climate of Japan from 1902 to 2009 was analyzed using an effective drought index (EDI). Drought regions were identified by hierarchical cluster analysis using drought characteristics (duration, severity, and onset and end dates) obtained from 50 observation stations. The results indicated that droughts could be divided into four groups (G1-G4) that reflected the local climate. The four groups were related to precipitation as follows. The summer rainy season affected groups G2-G4, in which droughts occurred mainly during spring and summer and were relieved before and after the rainy season. The G1 group was not affected by the summer rainy season and droughts were spread evenly throughout the year; it even had cases of droughts relieved by winter snow. All groups included dry conditions over the 108-yr period, and the driest conditions occurred in the late twentieth century. The statistical analysis of drought data showed that a total of 23 country-wide droughts occurred and that the most extreme droughts occurred in 1939-41 and 1984-85, with an EDI of 21.55. In addition, four dry seasons (1939-45, 1997-98, 1994-97, and 2005-09) were found using regime shift analysis. Regional droughts occurred 54, 54, 49, and 59 times in groups G1-G4, respectively. On average, short-term droughts with a duration shorter than 6 months occurred 3.5 times per decade, whereas long-term droughts extending over 1 yr occurred 0.3 times per decade. The drought duration and intensity were used to calculate the statistical return period of country-wide droughts. The 1939-41 drought had the longest return period, at 104.7 yr. The 1987-88 and 1995-97 droughts had return periods of 65.9 and 65.5 yr, respectively.

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Section: Analysis Methodsmentioning

confidence: 99%

Spatiotemporal Characteristics of Drought Occurrences over Japan

Lee¹,

Byun²,

Tanaka³

2012

Journal of Applied Meteorology and Climatology

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“…이처럼 실제 수문변량을 분포시키는 데 있어 일반적으 로 확정된 분포는 없으며 (Silverman, 1986;Moon and Lall, 1994;Smakhtin, 2001), 지난 20여년에 걸쳐 매개변 수적 방법과 비매개변수적 방법을 비교분석하는 연구는 지속적으로 이어지고 있다 (Adamowski, 1985(Adamowski, , 1996Moon and Lall, 1994;Lall, 1995). 또한 매개변수적 방법을 이용 하였을 경우 발생하는 문제점을 극복하기 위한 대안으로 비 매개변수적 방법을 적용한 바도 있다 (Oliveria, 1975;Yue et al, 1999;Kim et al, 2003).…”

Section: Copulaunclassified

Drought Risk Analysis Using Stochastic Rainfall Generation Model and Copula Functions

유지영¹,

신지예²,

김동균³

et al. 2013

Journal of Korea Water Resources Association

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This study performed the bivariate drought frequency analysis for duration and severity of drought, using copula functions which allow considering the correlation structure of joint features of drought. We suggested the confidence intervals of duration-severity-frequency (DSF) curves for the given drought duration using stochastic scheme of monthly rainfall generation for 57 sites in Korea. This study also investigated drought risk via illustrating the largest drought events on record over 50 and 100 consecutive years. It appears that drought risks are much higher in some parts of the Nakdong River basin, southern and east coastal areas. However, such analyses are not always reliable, especially when the frequency analysis is performed based on the data observed over relatively short period of time. To quantify the uncertainty of drought frequency curves, the droughts were filtered by different durations. The 5%, 25%, 50%, 75%, and 95% confidence intervals of the drought severity for a given duration were estimated based on the simulated rainfall time series. Finally, it is shown that the growing uncertainties is revealed in the estimation of the joint probability using the two marginal distributions since the correlation coefficient of two variables is relatively low.

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“…따라서 이런 경우 핵밀도함수(kernel density function) 방법을 적용하면 원자료의 특성을 최대한 살리면서 상당부분 좋은 결과를 얻어낼 수 있다 (Lall et al, 1993;Moon and Lall, 1994). 일반적으로 핵밀도함수 추정식은 모든 실수 x에 대하여 다음 Eq.…”

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A Study on Optimal Time Distribution of Extreme Rainfall Using Minutely Rainfall Data: A Case Study of Seoul

윤선권¹,

김종석²,

문영일³

2012

Journal of Korea Water Resources Association

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In this study, we have developed an optimal time distribution model through extraction of peaks over threshold (POT) series. The median values for annual maximum rainfall dataset, which are obtained from the magnetic recording(MMR) and the automatic weather system(AWS) data at Seoul meteorological observatory, were used as the POT criteria. We also suggested the improved methodology for the time distribution of extreme rainfall compared to Huff method, which is widely used for time distributions of design rainfall. The Huff method did not consider changing in the shape of time distribution for each rainfall durations and rainfall criteria as total amount of rainfall for each rainfall events. This study have suggested an extracting methodology for rainfall events in each quartile based on interquartile range (IQR) matrix and selection for the mode quartile storm to determine the ranking cosidering weighting factors on minutely observation data. Finally, the optimal time distribution model in each rainfall duration was derived considering both data size and characteristics of distribution using kernel density function in extracted dimensionless unit rainfall hyetograph.

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Kernel quantite function estimator for flood frequency analysis

Cited by 73 publications

References 37 publications

Spatiotemporal Characteristics of Drought Occurrences over Japan

Spatiotemporal Characteristics of Drought Occurrences over Japan

Drought Risk Analysis Using Stochastic Rainfall Generation Model and Copula Functions

A Study on Optimal Time Distribution of Extreme Rainfall Using Minutely Rainfall Data: A Case Study of Seoul

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