Frequency analyses of annual extreme rainfall series from 5 min to 24 h

ABSTRACT:Rainfall intensity-duration-frequency (IDF) relationships describe rainfall intensity as a function of duration and return period, and they are significant for water resources planning, as well as for the design of hydraulic constructions. In this study, the two-parameter lognormal (LN2) and Gumbel distributions are used as parent distribution functions. Derivation of the IDF relationship by this approach is quite simple, because it only requires an appropriate function of the mean of annual maximum rainfall intensity as a function of rainfall duration. It is shown that the monotonic temporal trend in the mean rainfall intensity can successfully be described by this parametric function which comprises a combination of the parameters of the quantile function a(T) and completely the duration function b(d) of the separable IDF relationship. In the case study of Aegean Region (Turkey), the IDF relationships derived through this simple generalization procedure (SGP) may produce IDF relationships as successfully as does the well-known robust estimation procedure (REP), which is based on minimization of the nonparametric Kruskal-Wallis test statistic with respect to the parameters θ and Z of the duration function. Because the approach proposed herein is based on lower-order sample statistics, risks and uncertainties arising from sampling errors in higher-order sample statistics were significantly reduced. The authors recommend to establish the separable IDF relationships by the SGP for a statistically favorable two-parameter parent distribution, because it uses the same assumptions as the REP does, it maintains the observed temporal trend in the mean additionally, it is easy to handle analytically and requires considerably less computational effort.

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“…, Nguyen , Bougadis and Adamowski , Haktanir et al . ). Although there are several goodness‐of‐fit criteria (Kite , Stedinger et al .…”

Section: Methodsmentioning

confidence: 99%

Simple generalization approach for intensity-duration-frequency relationships

Aşıkoğlu

Benzeden

2012

Hydrol. Process.

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“…The study follows Bulletin 17B guidelines of the Interagency Advisory Committee on Water Data (USGS 1982). The probability density function of the LP3 distribution, which is always a positively skewed one, is (USGS 1982;Haktanir et al 2010):…”

Section: Frequency Analysismentioning

confidence: 99%

Extreme Precipitation Estimation with Typhoon Morakot Using Frequency and Spatial Analysis

Chu¹,

Pan²,

Liou³

2011

Terr. Atmos. Ocean. Sci.

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Typhoon Morakot lashed Taiwan and produced copious amounts of precipitation in 2009. From the point view of hydrological statistics, the impact of the precipitation from typhoon Morakot using a frequency analysis can be analyzed and discussed. The frequency curve, which was fitted mathematically to historical observed data, can be used to estimate the probability of exceedance for runoff events of a certain magnitude. The study integrates frequency analysis and spatial analysis to assess the effect of Typhoon Morakot event on rainfall frequency in the Gaoping River basin of southern Taiwan. First, extreme rainfall data are collected at sixteen stations for durations of 1, 3, 6, 12, and 24 hours and then an appropriate probability distribution was selected to analyze the impact of the extreme hydrological event. Spatial rainfall patterns for a return period of 200-yr with 24-hr duration with and without Typhoon Morakot are estimated. Results show that the rainfall amount is significantly different with long duration with and without the event for frequency analysis. Furthermore, spatial analysis shows that extreme rainfall for a return period of 200-yr is highly dependent on topography and is smaller in the southwest than that in the east. The results not only demonstrate the distinct effect of Typhoon Morakot on frequency analysis, but also could provide reference in future planning of hydrological engineering.

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“…Several studies of developing such a formula have been, also, conducted in several cities in Turkey. For example, [16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Analyzing trend and developing an empirical formula for estimating rainfall intensity: a case study Eskisehir city, Turkey

Hadi

Tombul

2017

MATEC Web Conf.

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Abstract. Trend and stationarity analysis conducted for the city center of Eskisehir province, Turkey. The Intensity-Duration -Frequency (IDF) curves and formulas for the estimation of the design rainfall intensity have been developed. Through the application of four different frequency methods, the IDF has been developed for a record of 64 years. The functions employed are; Normal, Log -Normal, Gumbel, and Log -Pearson Type III. A formula for each function developed by determining the parameters with the help of a non-linear regression method. The most appropriate fit of probability distribution determined by goodness of fit test i.e. Chi -Square. The results of the study revealed no evidence of significant trend or nonstationarity in any duration. With an exception to the Normal function which exceeded the critical region in several durations, all the functions found to show high fitting. LPT III identified as the best fit. The coefficient of correlation for the developed formulas found high in all the functions except for LPT III. The study endorsed that the estimation of rainfall intensity for any storm duration and return period can be done for Eskisehir using LPT III and Gumbel formulas as they are evaluated as best fitting.

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Frequency analyses of annual extreme rainfall series from 5 min to 24 h

Cited by 17 publications

References 51 publications

Simple generalization approach for intensity-duration-frequency relationships

Simple generalization approach for intensity-duration-frequency relationships

Extreme Precipitation Estimation with Typhoon Morakot Using Frequency and Spatial Analysis

Analyzing trend and developing an empirical formula for estimating rainfall intensity: a case study Eskisehir city, Turkey

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