Suitability of Gamma, Chi-square, Weibull, and Beta distributions as synthetic unit hydrographs

Bhunya, P. K.; Berndtsson, Ronny; Ojha, C. S. P.; Mishra, S. K.

doi:10.1016/j.jhydrol.2006.09.022

Cited by 74 publications

(54 citation statements)

References 16 publications

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“…More recently, the potential of four popular pdfs, i.e. two-parameter Gamma, three-parameter Beta, two-parameter Weibull, and one-parameter Chi-square distribution were explored to derive SUH [31]. Following this, some of the relevant research work related to the use of distribution functions as SUH will be discussed here as follows:…”

Section: Probability Distribution Function Based Suh Methodsmentioning

confidence: 99%

“…(31). Thus it eliminates the cumbersome trial and error solutions for n and K. One thousand sets of (n, ) values with n ranging from 1 to 40.0 and ranging from 0.01 to 2.5 were considered for developing the relationships.…”

Section: Bhunya Et Al [4]mentioning

confidence: 99%

“…These models were suggested to be suitable for small and medium agricultural sub tropical sub humid basins having similar geohydrological conditions. Bhunya et al [31] explored the potential of four popular pdfs, i.e., two-parameter Gamma, three-parameter Beta [25], two-parameter Weibull, and one-parameter Chi-square distribution to derive SUH. For the reasons of non-availability of an explicit parameter estimation procedure, pdf parameters are determined using the least square approach or any other optimization procedures with suitable error criteria.…”

Section: Bhunya Et Al [4]mentioning

confidence: 99%

“…the results shown in Fig. (1), the works referred by [31] have an advantage that an idea about the influence of time to base and time to peak on the statistical properties of the UH is focussed here, and a sensitivity analysis of pdf parameters on the peak flow estimates, and other UH points like scale, and shape are discussed in detail.…”

Section: Bhunya Et Al [4]mentioning

confidence: 99%

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Synthetic Unit Hydrograph Methods: A Critical Review

Bhunya¹

2011

TOHYDJ

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Abstract:The present study critically reviews the synthetic unit hydrograph (SUH) methods available in hydrologic literature. The study reveals that the traditional methods of SUH derivation, e.g., Snyder, SCS, traditional methods like Snyder and TS method that does not yield satisfactory results, and their application to the practical engineering problems is tedious and combursome. On the other hand, probability distribution functions (pdfs) based SUH methods are easy to apply, and easily meet the UH criterion, i.e. the area under the curve is unity, and rely on a stronger mathematical base and sounder hydrologic perception. The recent pdfs used for deriving UHs in ungauged catchments, address the SUH shapes with more flexibility than the earlier pdfs proposed by [1] for SUH derivation.

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Section: Probability Distribution Function Based Suh Methodsmentioning

confidence: 99%

Section: Bhunya Et Al [4]mentioning

confidence: 99%

Section: Bhunya Et Al [4]mentioning

confidence: 99%

Section: Bhunya Et Al [4]mentioning

confidence: 99%

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Synthetic Unit Hydrograph Methods: A Critical Review

Bhunya¹

2011

TOHYDJ

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“…비동시 결합 재현기간 및 동시 결합 재현기 간을 식으로 정리하면 다음 Eqs. (7) and (8) (Beran and Sutcliffe, 1972;Cooke et al, 1995;Brubaker and Menoes, 2001;Ricciardi et al, 2005), 단위 유량도의 모형으로도 이용된 바 있다 (Bhunya et al, 2004;2007).…”

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Bivariate Frequency Analysis of Dam Storage Capacity before and after the Rainy Season and Evaluation on Water Supply Capacity

Jun¹,

Yoo²,

Zhu³

et al. 2014

Journal of Korea Water Resources Association

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This study proposes an evaluation method of water supply capacity of a dam, which uses the concept of return period by conducting bivariate frequency analysis of dam storage capacity. The proposed method was applied to the Daecheong Dam for the evaluation. Additionally, the return periods of Daecheong Dam were estimated for the representative drought events in Korea, whose results were also reviewed. Summarizing the results is as follows. First, this study evaluated several climatological factors related to the water supply capacity of dams

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Flood type specific construction of synthetic design hydrographs

Brunner

Viviroli

Sikorska

et al. 2017

Water Resources Research

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Accurate estimates of flood peaks, corresponding volumes, and hydrographs are required to design safe and cost‐effective hydraulic structures. In this paper, we propose a statistical approach for the estimation of the design variables peak and volume by constructing synthetic design hydrographs for different flood types such as flash‐floods, short‐rain floods, long‐rain floods, and rain‐on‐snow floods. Our approach relies on the fitting of probability density functions to observed flood hydrographs of a certain flood type and accounts for the dependence between peak discharge and flood volume. It makes use of the statistical information contained in the data and retains the process information of the flood type. The method was tested based on data from 39 mesoscale catchments in Switzerland and provides catchment specific and flood type specific synthetic design hydrographs for all of these catchments. We demonstrate that flood type specific synthetic design hydrographs are meaningful in flood‐risk management when combined with knowledge on the seasonality and the frequency of different flood types.

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Suitability of Gamma, Chi-square, Weibull, and Beta distributions as synthetic unit hydrographs

Cited by 74 publications

References 16 publications

Synthetic Unit Hydrograph Methods: A Critical Review

Synthetic Unit Hydrograph Methods: A Critical Review

Bivariate Frequency Analysis of Dam Storage Capacity before and after the Rainy Season and Evaluation on Water Supply Capacity

Flood type specific construction of synthetic design hydrographs

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