Dependence between flood peaks and volumes: a case study on climate and hydrological controls

Abstract The aim of this paper is to understand the causal factors controlling the relationship between flood peaks and volumes in a regional context. A case study is performed based on 330 catchments in Austria ranging from 6 to 500 km2 in size. Maximum annual flood discharges are compared with the associated flood volumes, and the consistency of the peak–volume relationship is quantified by the Spearman rank correlation coefficient. The results indicate that climate-related factors are more important than catchment-related factors in controlling the consistency. Spearman rank correlation coefficients typically range from about 0.2 in the high alpine catchments to about 0.8 in the lowlands. The weak dependence in the high alpine catchments is due to the mix of flood types, including long-duration snowmelt, synoptic floods and flash floods. In the lowlands, the flood durations vary less in a given catchment which is related to the filtering of the distribution of all storms by the catchment response time to produce the distribution of flood producing storms. Editor Z.W. Kundzewicz

[1]  Arthur C. Miller,et al.  History and Development of the NRCS Lag Time Equation 1 , 2007 .

[2]  Hydrological model for urban catchments – analytical development using copulas and numerical solution , 2010 .

[3]  V. Singh,et al.  Some Remarks on the Use of GIUH in the Hydrological Practice , 1995 .

[4]  D. Bonett,et al.  Sample size requirements for estimating pearson, kendall and spearman correlations , 2000 .

[5]  Satish Chandra,et al.  Multivariate modeling of flood flows , 1998 .

[6]  G. Stancalie,et al.  Seasonal characteristics of flood regimes across the Alpine–Carpathian range , 2010, Journal of hydrology.

[7]  Peter Vogel,et al.  Bringing IT All Together , 2007 .

[8]  Juraj Parajka,et al.  Comparative analysis of the seasonality of hydrological characteristics in Slovakia and Austria / Analyse comparative de la saisonnalité de caractéristiques hydrologiques en Slovaquie et en Autriche , 2009 .

[9]  Günter Blöschl,et al.  Spatio-temporal variability of event runoff coefficients , 2006 .

[10]  Stefan Uhlenbrook,et al.  Comparison of different base flow separation methods in a lowland catchment , 2009 .

[11]  A. Svoboda,et al.  Estimating Flash Flood Peak Discharge in Gidra and Parná Basin: Case Study for the 7-8 June 2011 Flood , 2012 .

[12]  Günter Blöschl,et al.  Generalised synthesis of space-time variability in flood response An analytical framework , 2010 .

[13]  Fabrizio Durante,et al.  On the return period and design in a multivariate framework , 2011 .

[14]  Vijay P. Singh,et al.  Lag prediction in ungauged basins: an investigation through actual data of the upper Tiber River valley , 2002 .

[15]  Günter Blöschl,et al.  A regional analysis of event runoff coefficients with respect to climate and catchment characteristics in Austria , 2009 .

[16]  Jenq-Tzong Shiau,et al.  Return period of bivariate distributed extreme hydrological events , 2003 .

[17]  C O Dotson,et al.  Analysis of Change , 1973, Exercise and sport sciences reviews.

[18]  Günter Blöschl,et al.  Flood frequency hydrology: 1. Temporal, spatial, and causal expansion of information , 2008 .

[19]  B. Bobée,et al.  Multivariate hydrological frequency analysis using copulas , 2004 .

[20]  K. Hirschboeck,et al.  Inland Flood Hazards: Hydroclimatology of Meteorologic Floods , 2000 .

[21]  Malin Falkenmark,et al.  Comparative Hydrology: An Ecological Approach to Land and Water Resources , 1989 .

[22]  Klaus Scipal,et al.  Assimilating scatterometer soil moisture data into conceptual hydrologic models at the regional scale , 2005 .

[23]  B. Renard,et al.  Use of a Gaussian copula for multivariate extreme value analysis: Some case studies in hydrology , 2007 .

[24]  Francesco Serinaldi,et al.  The intrinsic dependence structure of peak, volume, duration, and average intensity of hyetographs and hydrographs , 2013, Water resources research.

[25]  C. T. Lê.  Sample size requirements. , 1983, Journal of chronic diseases.

[26]  Tg Chapman,et al.  Baseflow Separation - Comparison of Numerical Methods with Tracer Experiments , 1996 .

[27]  G. Blöschl,et al.  Flood frequency hydrology: 3. A Bayesian analysis , 2013 .

[28]  Pan Liu,et al.  A new seasonal design flood method based on bivariate joint distribution of flood magnitude and date of occurrence , 2010 .

[29]  C. Luce.  Runoff Prediction in Ungauged Basins: Synthesis Across Processes, Places and Scales , 2014 .

[30]  Andrea Petroselli,et al.  Multivariate return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation , 2012 .

[31]  E. Anagnostou,et al.  Flash flood forecasting, warning and risk management: the HYDRATE project , 2011 .

[32]  R. A. Rao,et al.  CONCEPTUAL HYDROLOGIC MODELS FOR URBANIZING BASINS , 1972 .

[33]  L. Garrote,et al.  Bivariate return period based on copulas for hydrologic dam design: comparison of theoretical and empirical approach , 2013 .

[34]  M. Borga,et al.  Metrics for quantifying space-time dynamics of flood event types , 2010 .

[35]  G. Blöschl,et al.  Bayesian MCMC approach to regional flood frequency analyses involving extraordinary flood events at ungauged sites , 2010 .

[36]  Taha B. M. J. Ouarda,et al.  Approach for Describing Statistical Properties of Flood Hydrograph , 2002 .

[37]  J. Harlin.  Watershed morphometry and time to hydrograph peak , 1984 .

[38]  C. Genest,et al.  Everything You Always Wanted to Know about Copula Modeling but Were Afraid to Ask , 2007 .

[39]  Ellen Wohl,et al.  Inland flood hazards: human, riparian, and aquatic communities. , 2000 .

[40]  Joseph M. Sheridan,et al.  Hydrograph Time Parameters for Flatland Watersheds , 1994 .

[41]  Renzo Rosso,et al.  Bivariate Statistical Approach to Check Adequacy of Dam Spillway , 2005 .

[42]  D. Burn.  Catchment similarity for regional flood frequency analysis using seasonality measures , 1997 .

[43]  B. Sackl,et al.  A Bivariate Flood Model and Its Application , 1987 .

[44]  A. Castellarin,et al.  An analysis of change in alpine annual maximum discharges: implications for the selection of design discharges , 2012 .

[45]  G. Blöschl,et al.  The June 2013 flood in the Upper Danube Basin, and comparisons with the 2002, 1954 and 1899 floods , 2013 .

[46]  Günter Blöschl,et al.  On the role of storm duration in the mapping of rainfall to flood return periods , 2008 .

[47]  Veronika Bačová Mitková,et al.  Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava , 2014 .

[48]  Günter Blöschl,et al.  A compilation of data on European flash floods , 2009 .

[49]  R. Merz,et al.  A process typology of regional floods , 2003 .

[50]  James C. I. Dooge,et al.  Bringing it all together , 2004 .

[51]  Francesco Serinaldi,et al.  Asymmetric copula in multivariate flood frequency analysis , 2006 .

[52]  Theodore G. Cleveland,et al.  Literature Review on Timing Parameters for Hydrographs , 2005 .

[53]  Vijay P. Singh,et al.  Identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data , 2011 .

[54]  Günter Blöschl,et al.  Landform – Hydrology Feedbacks , 2009 .

[55]  T. Vogel,et al.  Hillslope Runoff Generation - Comparing Different Modeling Approaches , 2012 .

[56]  Günter Blöschl,et al.  Hydrologic synthesis: Across processes, places, and scales , 2006 .

[57]  R. McCuen,et al.  Estimating Urban Time of Concentration , 1984 .

[58]  Günter Blöschl,et al.  Flood timescales: Understanding the interplay of climate and catchment processes through comparative hydrology , 2012 .

[59]  Günter Blöschl,et al.  Flood frequency hydrology: 2. Combining data evidence , 2008 .