Prediction of the impact of climate change on drought: an evaluation of six UK catchments using two stochastic approaches

Under future climate scenarios, possible changes of drought patterns pose new challenges for water resources management. For quantifying and qualifying drought characteristics in the UK, the drought severity indices of six catchments are investigated and modelled by two stochastic methods: autoregressive integrated moving average (ARIMA) models and the generalized linear model (GLM) approach. From the ARIMA models, autocorrelation structures are first identified for the drought index series, and the unexplained variance of the series is used to establish empirical relationships between drought and climate variables. Based on the ARIMA results, mean sea level pressure and possibly the North Atlantic Oscillation index are found to be significant climate variables for seasonal drought forecasting. Using the GLM approach, occurrences and amounts of rainfall are simulated with conditioning on climate variables. From the GLM‐simulated rainfall for the 1980s and 2080s, the probabilistic characteristics of the drought severity are derived and assessed. Results indicate that the drought pattern in the 2080s is less certain than for the 1961–1990 period, based on the Shannon entropy, but that droughts are expected to be more clustered and intermittent. The 10th and 50th quantiles of drought are likely higher in the 2080s scenarios, but there is no evidence showing the changes in the 90th quantile extreme droughts. Copyright © 2012 John Wiley & Sons, Ltd.

[1]  D. A. Sachindra,et al.  Statistical downscaling of general circulation model outputs to precipitation—part 2: bias‐correction and future projections , 2014 .

[2]  Ö. F. Durdu Application of linear stochastic models for drought forecasting in the Büyük Menderes river basin, western Turkey , 2010 .

[3]  N. Bingham,et al.  Generalised Linear Models , 2010 .

[4]  K. Chun,et al.  Streamflow estimation for six UK catchments under future climate scenarios. , 2009 .

[5]  K. Fortuniak,et al.  Multi‐indices analysis of southern Scandinavian storminess 1780–2005 and links to interdecadal variations in the NW Europe–North Sea region , 2009 .

[6]  J. López‐Moreno,et al.  Daily precipitation intensity projected for the 21st century: seasonal changes over the Pyrenees , 2009 .

[7]  Glenis,et al.  UK Climate Projections science report: Projections of future daily climate for the UK from the Weather Generator , 2009 .

[8]  C. Fernández,et al.  Streamflow drought time series forecasting: a case study in a small watershed in North West Spain , 2009 .

[9]  Rob J Hyndman,et al.  Automatic Time Series Forecasting: The forecast Package for R , 2008 .

[10]  E. Wood,et al.  Projected changes in drought occurrence under future global warming from multi-model, multi-scenario, IPCC AR4 simulations , 2008 .

[11]  Dawei Han,et al.  Sustainable Hydrology for the 21st Century , 2008 .

[12]  C. Harpham,et al.  A daily weather generator for use in climate change studies , 2007, Environ. Model. Softw..

[13]  Siem Jan Koopman,et al.  An Introduction to State Space Time Series Analysis , 2007 .

[14]  Hayley J. Fowler,et al.  Changes in drought frequency, severity and duration for the British Isles projected by the PRUDENCE regional climate models , 2007 .

[15]  Richard W. Katz,et al.  Generalized linear modeling approach to stochastic weather generators , 2007 .

[16]  Robert L. Wilby,et al.  Major droughts in England and Wales, 1800–2006 , 2007 .

[17]  Analysis of Integrated and Co-Integrated Time Series With R , 2007 .

[18]  R. Modarres Streamflow drought time series forecasting , 2007 .

[19]  V. Yevjevich Objective approach to definitions and investigations of continental hydrologic droughts, An , 2007 .

[20]  H. L. Miller,et al.  Climate Change 2007: The Physical Science Basis , 2007 .

[21]  Stefano Schiavon,et al.  Climate Change 2007: The Physical Science Basis. , 2007 .

[22]  A. Kurunc,et al.  Simulating agricultural drought periods based on daily rainfall and crop water consumption , 2006 .

[23]  A. Mishra,et al.  Drought forecasting using feed-forward recursive neural network , 2006 .

[24]  H. Wheater Flood hazard and management: a UK perspective , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[25]  Jenq-Tzong Shiau,et al.  Fitting Drought Duration and Severity with Two-Dimensional Copulas , 2006 .

[26]  H. Su,et al.  Tropical drying trends in global warming models and observations. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[27]  Hyosang Lee Regionalisation of rainfall-runoff models in the UK , 2006 .

[28]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[29]  R. Chandler,et al.  Spatial‐temporal rainfall simulation using generalized linear models , 2005 .

[30]  Guiling Wang Agricultural drought in a future climate: results from 15 global climate models participating in the IPCC 4th assessment , 2005 .

[31]  Melvin J. Hinich,et al.  Time Series Analysis by State Space Methods , 2001 .

[32]  K. Trenberth,et al.  A Global Dataset of Palmer Drought Severity Index for 1870–2002: Relationship with Soil Moisture and Effects of Surface Warming , 2004 .

[33]  B. Timbal Southwest Australia past and future rainfall trends , 2004 .

[34]  Donald McKenzie,et al.  DROUGHT AND PACIFIC DECADAL OSCILLATION LINKED TO FIRE OCCURRENCE IN THE INLAND PACIFIC NORTHWEST , 2004 .

[35]  J. Salas,et al.  Drought length properties for periodic‐stochastic hydrologic data , 2004 .

[36]  Bernard Bobée,et al.  The stochastic modeling of low flows by the alternating point processes approach: methodology and application , 2004 .

[37]  Christian Onof,et al.  Future increase in UK water resource drought projected by a regional climate model. , 2004 .

[38]  C. H. R I S T O P H E R P O T T E R,et al.  Understanding global teleconnections of climate to regional model estimates of Amazon ecosystem carbon fluxes , 2004 .

[39]  P. Whetton,et al.  Guidelines for Use of Climate Scenarios Developed from Statistical Downscaling Methods , 2004 .

[40]  M. Lees,et al.  Evaluation and visualisation of risk to water resources , 2003 .

[41]  M. Hoerling,et al.  The Perfect Ocean for Drought , 2003, Science.

[42]  B. Lloyd‐Hughes Long-Range Predictability of European Drought , 2003 .

[43]  Eric R. Ziegel,et al.  An Introduction to Generalized Linear Models , 2002, Technometrics.

[44]  J. Tenhunen,et al.  Severe drought effects on ecosystem CO2 and H2O fluxes at three Mediterranean evergreen sites: revision of current hypotheses? , 2002 .

[45]  R. Chandler,et al.  Analysis of rainfall variability using generalized linear models: A case study from the west of Ireland , 2002 .

[46]  V. Isham,et al.  An Analysis of Daily Maximum Wind Speed in Northwestern Europe Using Generalized Linear Models , 2002 .

[47]  R. Heim A Review of Twentieth-Century Drought Indices Used in the United States , 2002 .

[48]  U. Panu,et al.  Challenges in drought research: some perspectives and future directions , 2002 .

[49]  H. Wheater Progress in and prospects for fluvial flood modelling , 2002, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[50]  Peter C Young,et al.  Advances in real–time flood forecasting , 2002, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[51]  Chris Kilsby,et al.  A weather-type approach to analysing water resource drought in the Yorkshire region from 1881 to 1998 , 2002 .

[52]  D. Hughes,et al.  Simulating the impacts of land-use and climate change on water resource availability for a large south Indian catchment , 2002 .

[53]  Xiang-Yang Li,et al.  Constructing minimum energy mobile wireless networks , 2001, MOCO.

[54]  Alexei G. Sankovski,et al.  Special report on emissions scenarios , 2000 .

[55]  R. Harrison Repercussions of El Niño: drought causes extinction and the breakdown of mutualism in Borneo , 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[56]  I. Cordery,et al.  A model for forecasting drought from teleconnections , 2000 .

[57]  John F. B. Mitchell,et al.  The simulation of SST, sea ice extents and ocean heat transports in a version of the Hadley Centre coupled model without flux adjustments , 2000 .

[58]  Z. Sen Probabilistic Formulation of Spatio-temporal Drought Pattern , 1998 .

[59]  G. McGregor,et al.  The utility of a drought index for assessing the drought hazard in Devon and Cornwall, South West England , 1998 .

[60]  T. Wigley,et al.  Statistical downscaling of general circulation model output: A comparison of methods , 1998 .

[61]  M. Shahgedanova,et al.  An historical record of evaporation losses since 1815 calculated using long-term observations from the Radcliffe Meteorological Station, Oxford, England , 1998 .

[62]  N. Arnell,et al.  Spatial and temporal variability in European river flows and the North Atlantic oscillation , 1997 .

[63]  Keith R. Briffa,et al.  Precipitation variability and drought , 1997 .

[64]  Thomas C. Piechota,et al.  Drought and Regional Hydrologic Variation in the United States: Associations with the El Niño-Southern Oscillation , 1996 .

[65]  D. Wilhite A methodology for drought preparedness , 1996 .

[66]  J. Hurrell Decadal Trends in the North Atlantic Oscillation: Regional Temperatures and Precipitation , 1995, Science.

[67]  N. W. Arnell,et al.  The 1988-92 drought in its historical perspective , 1994 .

[68]  T. McKee,et al.  THE RELATIONSHIP OF DROUGHT FREQUENCY AND DURATION TO TIME SCALES , 1993 .

[69]  Marcello Benedini,et al.  On regional drought estimation and analysis , 1992 .

[70]  Luc Perreault,et al.  The use of geometric and gamma-related distributions for frequency analysis of water deficit , 1992 .

[71]  Mikhail A. Semenov,et al.  A serial approach to local stochastic weather models , 1991 .

[72]  P. A. Blight The Analysis of Time Series: An Introduction , 1991 .

[73]  A. Dobson An introduction to generalized linear models , 1991 .

[74]  Run Analysis of Rainfall Data Affected by Urbanization , 1986 .

[75]  D. Wilhite,et al.  CHAPfER2UNDERSTANDING THE DROUGHT PHENOMENON:THE ROLE OF DEFINITIONS , 1985 .

[76]  P. Bardsley,et al.  THE ECONOMICS OF INSURING CROPS AGAINST DROUGHT , 1984 .

[77]  Richard Coe,et al.  A Model Fitting Analysis of Daily Rainfall Data , 1984 .

[78]  C. W. Richardson Stochastic simulation of daily precipitation, temperature, and solar radiation , 1981 .

[79]  J. Dracup,et al.  On the definition of droughts , 1980 .

[80]  G. Box,et al.  On a measure of lack of fit in time series models , 1978 .

[81]  V. Yevjevich,et al.  Effects of size and shape of a region on drought coverage / Les effets de grandeur et de forme d'une région sur l'étendue des sécheresses , 1978 .

[82]  Z. Şen Run-sums of annual flow series , 1977 .

[83]  Zekai Sen,et al.  Wet and Dry Periods of Annual Flow Series , 1976 .

[84]  H. Akaike A new look at the statistical model identification , 1974 .

[85]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[86]  G. M. Byram,et al.  A Drought Index for Forest Fire Control , 1968 .

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

[88]  Claude E. Shannon,et al.  The mathematical theory of communication , 1950 .

[89]  C. W. Thornthwaite An Approach Toward a Rational Classification of Climate , 1948 .

[90]  C. W. Thornthwaite An approach toward a rational classification of climate. , 1948 .