Parameter Estimation of Beta Distribution for Unit Hydrograph Derivation

Synthetic Unit Hydrograph Methods: A Critical Review

“…The analytical expressions for scale-adjusted gamma and beta distributions as SUH are expressed as (25) where Q G (t)= the flow rate of the gamma SUH at time t in m 3 /s/cm; A = watershed area in km 2 ; t = time in hours; n is the number of linear reservoirs, and K is the storage coefficient of the reservoirs in units of hours.…”

“…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.…”

“…Based on the concept of n linear reservoirs in series, Nash and Dooge [23,24] independently developed the general equation of the IUH in the form of two-parameter gamma distribution function (2PGDF). Recently, two-parameter gamma distribution and three-parameter beta distribution function (3PBDF) have sucessfully utilized in deriving synthetic unit hydrographs for Indian as well as Turkey catchments [4,5,25]. However, SUH derivations require determination of the pdf parameters by the least square approach, nondimentional approach along with suitable optimization techniques or any other suitable error criteria [4].…”

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

“…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).…”

Analysis on the Characteristics about Representative Temporal-distribution of Rainfall in the Annual Maximum Independent Rainfall Events at Seoul using Beta Distribution

“…이미 국내 외에서는 이와 관련하여 다양한 연 구가 진행되었으며, 그에 대한 많은 연구사례들을 찾아볼 수 있다 (Yue, 2000;Yue and Rasmussen, 2002;Koa and Govindaraju, 2007;Kwon and Kim, 2009;Lee et al, 2010;Park et al, 2010;Park and Yoo, 2011;Yoo and Park, 2012 (Jun and Yoo, 2012) (Hafley and Schreuder, 1977;Maltamo et al, 1995). Jun and Yoo(2012)의 연구를 참고 하면, 수문학 분야에서도 토양이나 대수층의 특성 및 강설 면적을 정량화하거나 (Beran and Sutcliffe, 1972;Brubaker and Menoes, 2001;Cooke et al, 1995;Ricciardi et al, 2005) 단위유량도의 모형으로 이용되어 왔다 (Bhunya et al, 2004;. 본 연구의 대상인 호우사상의 시간적 특 성 정량화 문제도 시점 및 종점이 명확하다는 특성을 가 지고 있으므로 다양하게 나타나는 호우사상의 시간분포 형태를 살펴보는데 있어 베타분포가 큰 적용성을 보일 것 으로 판단된다.…”