At‐a‐station hydraulic geometry relations, 1: theoretical development     

Vijay P. Singh  L. Zhang 《水文研究》2008,22(2):189-215

This paper, the first of two, hypothesizes that: (1) the temporal variation of stream power of a river channel at a given station with varying discharge is accomplished by the temporal variation in channel form (flow depth and channel width) and hydraulic variables, including energy slope, flow velocity and friction; (2) the change in stream power is distributed among the changes in flow depth, channel width, flow velocity, slope, and friction, depending on the boundary conditions that the channels has to satisfy. The second hypothesis is a result of the principle of maximum entropy and the theory of minimum energy dissipation or its simplified minimum stream power. These two hypotheses lead to families of at‐a‐station hydraulic geometry relations. The conditions under which these families of relations can occur in the field are discussed. Copyright © 2007 John Wiley & Sons, Ltd.  相似文献   

Three‐parameter discontinuous distributions for hydrological samples with zero values     

Stanislaw Weglarczyk  Witold G. Strupczewski  Vijay P. Singh 《水文研究》2005,19(15):2899-2914

A consistent approach to the frequency analysis of hydrologic data in arid and semiarid regions, i.e. the data series containing several zero values (e.g. monthly precipitation in dry seasons, annual peak flow discharges, etc.), requires using discontinuous probability distribution functions. Such an approach has received relatively limited attention. Along the lines of physically based models, the extensions of the Muskingum‐based models to three parameter forms are considered. Using 44 peak flow series from the USGS data bank, the fitting ability of four three‐parameter models was investigated: (1) the Dirac delta combined with Gamma distribution; (2) the Dirac delta combined with two‐parameter generalized Pareto distribution; (3) the Dirac delta combined with two‐parameter Weibull (DWe) distribution; (4) the kinematic diffusion with one additional parameter that controls the probability of the zero event (KD3). The goodness of fit of the models was assessed and compared both by evaluation of discrepancies between the results of both estimation methods (i.e. the method of moments (MOM) and the maximum likelihood method (MLM)) and using the log of likelihood function as a criterion. In most cases, the DWe distribution with MLM‐estimated parameters showed the best fit of all the three‐parameter models. Copyright © 2005 John Wiley & Sons, Ltd.  相似文献   

Variations of annual and seasonal runoff in Guangdong Province,south China: spatiotemporal patterns and possible causes   总被引：1，自引：0，他引：1  

Qiang Zhang  Mingzhong Xiao  Vijay P. Singh  Chong-Yu Xu  Jianfeng Li 《Meteorology and Atmospheric Physics》2015,127(3):273-288

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Early-type galaxy distances from the Fundamental Plane and surface brightness fluctuations   总被引：1，自引：0，他引：1  

John P.Blakeslee  John R.Lucey  John L.Tonry  Michael J.Hudson  Vijay K.Narayanan  Brian J.Barris 《Monthly notices of the Royal Astronomical Society》2002,330(2):443-457

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A relook at NEH‐4 curve number data and antecedent moisture condition criteria     

Surendra Kumar Mishra  Vijay P. Singh 《水文研究》2006,20(13):2755-2768

This paper investigates the variation of the popular curve number (CN) values given in the National Engineering Hand Book–Section 4 (NEH‐4) of the Soil Conservation Service (SCS) with antecedent moisture condition (AMC) and soil type. Using the volumetric concept, involving soil, water, and air, a significant condensation of the NEH‐4 tables is achieved. This leads to a procedure for determination of CN for gauged as well as ungauged watersheds. The rainfall‐runoff events derived from daily data of four Indian watersheds exhibited a power relation between the potential maximum retention or CN and the 5‐day antecedent rainfall amount. Including this power relation, the SCS‐CN method was modified. This modification also eliminates the problem of sudden jumps from one AMC level to the other. The runoff values predicted using the modified method and the existing method utilizing the NEH‐4 AMC criteria yielded similar results. Copyright © 2006 John Wiley & Sons, Ltd.  相似文献   

Modified f(R,T) gravity theory and scalar field cosmology     

Vijay Singh  C. P. Singh 《Astrophysics and Space Science》2015,356(1):153-162

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Copula-based risk evaluation of droughts across the Pearl River basin, China   总被引：5，自引：2，他引：3  

Qiang Zhang  Mingzhong Xiao  Vijay P. Singh  Xiaohong Chen 《Theoretical and Applied Climatology》2013,111(1-2):119-131

Daily precipitation data for the period of 1960–2005 from 42 precipitation gauging stations in the Pearl River basin were analyzed using the Mann–Kendall trend test and copula functions. The standardized precipitation index method was used to define drought episodes. Primary and secondary return periods were also analyzed to evaluate drought risks in the Pearl River basin as a whole. Results indicated that: (1) in general, the drought tendency was not significant at a 95 % confidence level. However, significant drought trends could be found in November, December, and January and significant wetting trends in June and July. The drought severity and drought durations were not significant at most of the precipitation stations across the Pearl River basin; (2) in terms of drought risk, higher drought risk could be observed in the lower Pearl River basin and lower drought risk in the upper Pearl River basin. Higher risk of droughts of longer durations was always corresponding to the higher risk of droughts with higher drought severity, which poses an increasing challenge for drought management and water resources management. When drought episodes with higher drought severity occurred in the Pearl River basin, the regions covered by higher risk of drought events were larger, which may challenge the water supply in the lower Pearl River basin. As for secondary return periods, results of this study indicated that secondary return periods might provide a more robust evaluation of drought risk. This study should be of merit for water resources management in the Pearl River basin, particularly the lower Pearl River basin, and can also act as a case study for determining regional response to drought changes as a result of global climate changes.  相似文献   

Comparison of infiltration models     

Surendra Kumar Mishra  J. V. Tyagi  Vijay P. Singh 《水文研究》2003,17(13):2629-2652

Fourteen popular, representative infiltration models, some physically based, some semi‐empirical and some empirical, were selected for a comparative evaluation. Using the Nash and Sutcliffe efficiency criterion, the models were evaluated and compared for 243 sets of infiltration data collected from field and laboratory tests conducted in India and the USA on soils ranging from coarse sand to fine clay. Based on a relative grading scale, the semi‐empirical Singh–Yu general model, Holtan model and Horton model were graded respectively as 6·52, 5·57 and 5·48 out of 10. The empirical Huggins and Monke model, modified Kostiakov and Kostiakov model were graded as 5·57, 5·30 and 5·22, respectively. The physically based non‐linear and linear models of Smith–Parlange were graded as 5·48 and 5·22, respectively. Other models were ranked lower than these models. All the models generally performed poorly in field tests on Georgia's sandy soils, except the Robertsdale loamy sand. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

Meixner functions for derivation of the unit hydrograph     

Vijay P. Singh  Roger C. McCann 《Advances in water resources》1983,6(3):157-164

The Meixner functions are utilized to relate the effective rainfall, the direct runoff and the unit hydrograph through linkage equations. The linkage equations are then employed to derive the unit hydrograph for given rainfall-runoff data on a small agricultural watershed. These functions are tested with regard to their ability to reproduce and predict the direct runoff hydrograph. The Meixner functions are found to be an effective analytical tool for hydrograph synthesis. Further, they compare well with the least squares and linear programming methods of the unit hydrograph derivation.  相似文献   

Application of Archimedean copulas in the analysis of the precipitation extremes: effects of precipitation changes   总被引：2，自引：0，他引：2  

Qiang Zhang  Jianfeng Li  Vijay P. Singh 《Theoretical and Applied Climatology》2012,107(1-2):255-264

Due to the influence of changing environment and intensifying human activities, hydrometeorological changes are becoming common. This study derives a bivariate joint distribution of total precipitation and precipitation days with daily precipitation exceeding the 75th percentile and falling below the 25th percentile. Chang points in the precipitation series are detected with more than one statistical method. Results indicate that (1) for P75 and D75, Kendal’s τ does not change significantly even when the existence of change points is taken into account. The selection of a copula is greatly impacted by the existence of a change point; (2) for P25 and D25, τ varies much, while the precipitation variations have no evident effects on the selection of a copula. Therefore, a copula should be selected after the detection of change points to avoid possible bias in results or conclusions. This study is of some merits in terms of risk evaluation based on copula-based probability analysis with available change points.  相似文献