Comparison of the annual minimum flow and the deficit below threshold approaches: case study for the province of New Brunswick, Canada

A low-flow frequency analysis using the annual minimum flow (AMF) and the deficit below threshold (DBT) approaches was carried out for 30 hydrometric stations across the province of New Brunswick. The AMF method considers only the annual minimum events, and the DBT method considers all low flows below a certain threshold (or truncation level). In the present study, the DBT method characterizes low flow in terms of deficit intensity, which is becoming increasingly important in both water and aquatic resources management. The annual minimum series were fitted using the three-parameter Weibull distribution (AMF–WEI3), and the intensity data series were fitted using the two-parameter Weibull distribution (DBT–WEI2) and the generalized Pareto distribution (DBT–GP). All parameter estimates were obtained using the maximum likelihood method. The AMF–WEI3 and DBT–GP approaches provided a good fit to at-site data in terms of annual minimum flow and deficit intensity, respectively. However, the present study showed ...

[1]  Quan J. Wang,et al.  The POT model described by the generalized Pareto distribution with Poisson arrival rate , 1991 .

[2]  Taha B. M. J. Ouarda,et al.  Intercomparison of regional flood frequency estimation methods at ungauged sites for a Mexican case study , 2008 .

[3]  Ralph B. D'Agostino,et al.  Goodness-of-Fit-Techniques , 2020 .

[4]  Vartan Choulakian,et al.  Goodness-of-Fit Tests for the Generalized Pareto Distribution , 2001, Technometrics.

[5]  Richard M. Vogel,et al.  Flow duration curves II : a review of applications in water resources planning , 1995 .

[6]  V. Smakhtin Low flow hydrology: a review , 2001 .

[8]  R. Vogel,et al.  Probability Distribution of Low Streamflow Series in the United States , 2002 .

[9]  S. Durrans,et al.  Regionalization of Low-Flow Frequency Estimates: AN Alabama Case Stui)y , 1996 .

[10]  Groupe de recherche en hydrologie statistique Presentation and review of some methods for regional flood frequency analysis , 1996 .

[11]  Davar Khalili,et al.  Utilization of Time-Based Meteorological Droughts to Investigate Occurrence of Streamflow Droughts , 2010 .

[12]  Nelson Leonard Nemerow,et al.  Stream, lake, estuary, and ocean pollution , 1985 .

[13]  Paul H. Whitfield,et al.  Improving the Prediction of Low Flows in Ungauged Basins in Canada in the Future , 2008 .

[14]  G. V. Loganathan,et al.  Frequency Analysis of Low Flows , 1985 .

[15]  N. Matalas,et al.  Probability distribution of low flows , 1963 .

[16]  E. Zelenhasić Theoretical probability distributions for flood peaks , 2007 .

[17]  E. J. Gumbel,et al.  Statistical Theory of Droughts , 1954 .

[18]  Dennis P. Lettenmaier,et al.  EFFECTS OF CLIMATE CHANGE ON HYDROLOGY AND WATER RESOURCES IN THE COLUMBIA RIVER BASIN 1 , 1999 .

[19]  Taha B. M. J. Ouarda,et al.  Statistical Models and the Estimation of Low Flows , 2008 .

[20]  Gregory J. McCabe,et al.  A step increase in streamflow in the conterminous United States , 2002 .

[21]  Jacques Bernier,et al.  Guide pratique d'estimation des probabilités de crues , 1984 .

[22]  F. Ashkar,et al.  Risk Assessment Using A Generalized Pareto-based Bivariate Model , 2002 .

[23]  Fahim Ashkar,et al.  A bivariate analysis of the volume and duration of low-flow events , 1998 .

[24]  T. McMahon,et al.  Evaluation of automated techniques for base flow and recession analyses , 1990 .

[25]  B. Caruso Regional river flow, water quality, aquatic ecological impacts and recovery from drought , 2001 .

[26]  Application stochastique du phénomène d'étiage , 1997 .

[27]  Richard M. Vogel,et al.  PROBABILITY DISTRIBUTION OF ANNUAL MAXIMUM, MEAN, AND MINIMUM STREAMFLOWS IN THE UNITED STATES , 1996 .

[28]  D. Magoulick,et al.  The role of refugia for fishes during drought: a review and synthesis , 2003 .

[29]  Comparisons of Weibull- and exponential-based partial duration stochastic flood models , 1993 .

[30]  Harry F. Lins,et al.  Streamflow trends in the United States , 1999 .

[31]  W. E. Watt,et al.  Regional Low Flow Frequency Relations for Central Ontario , 2005 .

[32]  Henrik Madsen,et al.  On the definition and modelling of streamflow drought duration and deficit volume , 1997 .

[33]  Richard L. Smith,et al.  Models for exceedances over high thresholds , 1990 .

[34]  A. Covich,et al.  Effects of extreme low flows on freshwater shrimps in a perennial tropical stream. , 2003 .

[35]  Fahim Ashkar,et al.  Exploring generalized probability weighted moments, generalized moments and maximum likelihood estimating methods in two-parameter Weibull model , 2004 .

[36]  J. Hosking,et al.  Parameter and quantile estimation for the generalized pareto distribution , 1987 .