Flood frequency analysis based on simulated peak discharges

Flood frequency approaches vary from statistical methods, directly applied on the observed annual maximum flood series, to adopting rainfall–runoff simulation models that transform design rainfalls to flood discharges. Reliance on statistical flood frequency analysis depends on several factors such as the selected probability distribution function, estimation of the function parameters, possible outliers, and length of the observed flood series. Through adopting the simulation approach in this paper, watershed-average rainfalls of various occurrence probabilities were transformed into the corresponding peak discharges using a calibrated hydrological model. A Monte Carlo scheme was employed to consider the uncertainties involved in rainfall spatial patterns and antecedent soil moisture condition (AMC). For any given rainfall depth, realizations of rainfall spatial distribution and AMC conditions were entered as inputs to the model. Then, floods of different return periods were simulated by transforming rainfall to runoff. The approach was applied to Tangrah watershed in northeastern Iran. It was deduced that the spatial rainfall distribution and the AMCs exerted a varying influence on the peak discharge of different return periods. Comparing the results of the simulation approach with those of the statistical frequency analysis revealed that, for a given return period, flood quantiles based on the observed series were greater than the corresponding simulated discharges. It is also worthy to note that existence of outliers and the selection of the statistical distribution function has a major effect in increasing the differences between the results of the two approaches.

[1]  Francesco Laio,et al.  Design flood estimation using model selection criteria , 2009 .

[2]  Bernard Bobée,et al.  Towards a systematic approach to comparing distributions used in flood frequency analysis , 1993 .

[3]  T. Addiscott Entropy-Based Parameter Estimation in Hydrology , 2000 .

[4]  Giuliano Di Baldassarre,et al.  Model selection techniques for the frequency analysis of hydrological extremes , 2009 .

[5]  L. Stagi,et al.  Tipping bucket mechanical errors and their influence on rainfall statistics and extremes. , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

[6]  Ataur Rahman,et al.  Development of regionalized joint probability approach to flood estimation: a case study for Eastern New South Wales, Australia , 2014 .

[7]  J. R. Wallis,et al.  Some statistics useful in regional frequency analysis , 1993 .

[8]  Jeroen P. van der Sluijs,et al.  A framework for dealing with uncertainty due to model structure error , 2004 .

[9]  M. Cannarozzo,et al.  Influence of rating curve uncertainty on daily rainfall–runoff model predictions. , 2006 .

[10]  Ataur Rahman,et al.  Monte Carlo Simulation of Flood Frequency Curves from Rainfall , 2002 .

[11]  K. Beven Rainfall-Runoff Modelling: The Primer , 2012 .

[12]  R. Moore,et al.  Rainfall and sampling uncertainties: A rain gauge perspective , 2008 .

[13]  Ataur Rahman,et al.  Monte Carlo Simulation of Flood Frequency Curves from Rainfall – The Way Ahead , 2000 .

[14]  I. Rodríguez‐Iturbe,et al.  Ecohydrology of groundwater‐dependent ecosystems: 1. Stochastic water table dynamics , 2009 .

[15]  Reza Maknoon,et al.  Probabilistic rainfall thresholds for flood forecasting: evaluating different methodologies for modelling rainfall spatial correlation (or dependence) , 2011 .

[16]  B. Saghafian,et al.  Derivation of Probabilistic Thresholds of Spatially Distributed Rainfall for Flood Forecasting , 2010 .

[17]  A. Molini,et al.  Rainfall intermittency and the sampling error of tipping-bucket rain gauges , 2001 .

[18]  Alessio Domeneghetti,et al.  Assessing rating-curve uncertainty and its effects on hydraulic model calibration , 2012 .

[19]  Eric Gaume,et al.  Uncertainties on mean areal precipitation: assessment and impact on streamflow simulations , 2008 .

[20]  Florian Pappenberger,et al.  Impacts of uncertain river flow data on rainfall‐runoff model calibration and discharge predictions , 2010 .

[21]  Giuseppe Tito Aronica,et al.  Derivation of flood frequency curves in poorly gauged Mediterranean catchments using a simple stochastic hydrological rainfall-runoff model , 2007 .

[22]  J. R. Wallis,et al.  Regional Frequency Analysis: An Approach Based on L-Moments , 1997 .

[23]  Jan Seibert,et al.  Conceptual Runoff Models -- Fiction or Representation of Reality , 1999 .

[24]  B. Rosner Percentage Points for a Generalized ESD Many-Outlier Procedure , 1983 .

[25]  Shreedhar Maskey Modelling Uncertainty in Flood Forecasting Systems , 2004 .

[26]  M. Bayazit,et al.  Best-fit distributions of largest available flood samples , 1995 .

[27]  Cecilia Svensson,et al.  Flood frequency estimation using a joint probability approach within a Monte Carlo framework , 2013 .

[28]  Predictions in ungauged basins : promise and progress , 2006 .

[29]  Roger A. Pielke,et al.  Flood Damage in the United States, 1926-2000 A Reanalysis of National Weather Service Estimates , 2002 .

[30]  Murugesu Sivapalan,et al.  Process controls on flood frequency - spatial heterogeneity and basin scale , 1996 .

[31]  Ataur Rahman,et al.  Application of Monte Carlo Simulation Technique to Design Flood Estimation: A Case Study for North Johnstone River in Queensland, Australia , 2013, Water Resources Management.

[32]  T. Dunne,et al.  An empirical‐stochastic, event‐based program for simulating inflow from a tributary network: Framework and application to the Sacramento River basin, California , 2004 .

[33]  Veronica W. Griffis,et al.  Evolution of Flood Frequency Analysis with Bulletin 17 , 2007 .

[34]  Khaled Haddad,et al.  Regional Flood Estimation in New South Wales Australia Using Generalized Least Squares Quantile Regression , 2011 .

[35]  Khaled H. Hamed,et al.  Flood Frequency Analysis , 1999 .