TY - JOUR
T1 - Estimation of unit hydrograph by ridge least-squares method
AU - Zhao, Bing
AU - Tung, Yeou-Koung
AU - Yang, Jinn Chuang
PY - 1995/1/1
Y1 - 1995/1/1
N2 - Least squares (LS) methods are frequently used to determine an optimal unit hydrograph (UH) for a watershed. However, the conventionally used ordinary LS method could potentially produce a UH with unwanted fluctuation among hydrograph ordinates. When that occurs, the ridge LS method can be used to reduce noise fluctuation in a derived UH. In the framework of the ridge LS method, a UH can be obtained by minimizing the mean-squared error (MSE) of the estimated UH or direct runoff hydrograph (DRH). Therefore, the ridge LS method theoretically would enhance the predictability of the derived UH. This paper describes methodologies of obtaining the optimal ridge parameter for use in the ridge LS method to estimate a UH. Furthermore, the unit volume constraint is considered in the determination of the optimal ridge parameter. A statistical validation study is also conducted to show that a UH obtained by the ridge LS method has a better predictive capability than the one derived by the ordinary LS method.
AB - Least squares (LS) methods are frequently used to determine an optimal unit hydrograph (UH) for a watershed. However, the conventionally used ordinary LS method could potentially produce a UH with unwanted fluctuation among hydrograph ordinates. When that occurs, the ridge LS method can be used to reduce noise fluctuation in a derived UH. In the framework of the ridge LS method, a UH can be obtained by minimizing the mean-squared error (MSE) of the estimated UH or direct runoff hydrograph (DRH). Therefore, the ridge LS method theoretically would enhance the predictability of the derived UH. This paper describes methodologies of obtaining the optimal ridge parameter for use in the ridge LS method to estimate a UH. Furthermore, the unit volume constraint is considered in the determination of the optimal ridge parameter. A statistical validation study is also conducted to show that a UH obtained by the ridge LS method has a better predictive capability than the one derived by the ordinary LS method.
UR - http://www.scopus.com/inward/record.url?scp=0029412163&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)0733-9437(1995)121:3(253)
DO - 10.1061/(ASCE)0733-9437(1995)121:3(253)
M3 - Article
AN - SCOPUS:0029412163
VL - 121
SP - 253
EP - 259
JO - Journal of Irrigation and Drainage Engineering - ASCE
JF - Journal of Irrigation and Drainage Engineering - ASCE
SN - 0733-9437
IS - 3
ER -