Abstract
This paper focuses on the development and testing of the genetic algorithm (GA)-based regional flood frequency analysis (RFFA) models for eastern parts of Australia. The GA-based techniques do not impose a fixed model structure on the data and can better deal with nonlinearity of the input and output relationship. These nonlinear techniques have been applied successfully in many hydrologic problems; however, there have been only limited applications of these techniques in RFFA problems, particularly in Australia. A data set comprising of 452 stations is used to test the GA for artificial neural networks (ANN) optimization known as GAANN. The results from GAANN were compared with the results from back-propagation for ANN optimization known as BPANN. An independent testing shows that both the GAANN and BPANN methods are quite successful in RFFA and can be used as alternative methods to check the validity of the traditional linear models such as quantile regression technique.
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References
Abrahart RJ, See L, Kneale PE (1999) Using pruning algorithms and genetic algorithms to optimize network architectures and forecasting inputs in a neural network rainfall-runoff model. J Hydroinformatics 1:103–114
Abrahart RJ, Kneale PE, See L (eds) (2004) Neural networks for hydrological modelling. Taylor & Francis, London
Abrahart RJ, Heppenstall AJ, See LM (2007) Timing error correction procedure applied to neural network rainfall-runoff modelling. Hydrol Sci J 52(3):414–431
Arthur LC, Roger LW (1995) LibGA for solving combinatorial optimization problems. In: Chambers L (ed) Practical handbook of genetic algorithms. CRC Press Inc, Boca Raton
Aziz K, Rahman A, Shrestha S and Fang G (2011) Derivation of optimum regions for ANN based RFFA in Australia, 34th IAHR World Congress, Brisbane, 26 June–1 July 2011, 17–24
Aziz K, Rahman A, Fang G, Shreshtha S (2014) Application of artificial neural networks in regional flood frequency analysis: a case study for Australia. Stoch Enviro Res Risk Assess 28(3):541–554
Baker JE (1987) Reducing bias inefficiency in the selection algorithm. In: Grefenstette JJ (ed) Genetic algorithms and their applications, proceedings of the second international conference on genetic algorithms. Erlbaum, New Jersey
Bates BC, Rahman A, Mein RG, Weinmann PE (1998) Climatic and physical factors that influence the homogeneity of regional floods in south-eastern Australia. Water Resour Res 34(12):3369–3381
Bayazit M, Onoz B (2004) Sampling variances of regional flood quantiles affected by inter-site correlation. J Hydrol 291:42–51
Besaw L, Rizzo DM, Bierman PR, Hackett WR (2010) Advances in ungauged streamflow prediction using artificial neural networks. J Hydrol 386(1–4):27–37
Bowden GJ, Dandy GC, Maier HR (2005) Input determination for neural network models in water resources applications. Part 1-background and methodology. J Hydrol 301:75–92
Caballero WL, Rahman A (2014a) Development of regionalized joint probability approach to flood estimation: a case study for New South Wales, Australia. Hydrol Process 28:4001–4010
Caballero WL, Rahman A (2014b) Application of Monte Carlo simulation technique for flood estimation for two catchments in New South Wales. Aust Nat Hazards 74:1475–1488
Charalambous J, Rahman A, Carroll D (2013) Application of Monte Carlo simulation technique to design flood estimation: a case study for North Johnstone River in Queensland. Aust Water Resour Manag 27:4099–4111
Chen CJ, Ning SK, Chen HW, Shu CS (2008) Flooding probability of urban area estimated by decision tree and artificial neural networks. J Hydroinformatics 10(1):57–67
Cheng CT, Ou CP, Chau KW (2002) Combining a fuzzy optimal model with a genetic algorithm to solve multi-objective rainfall-runoff model calibration. J Hydrol 268:72–86
Chokmani K, Ouarda BMJT, Hamilton S, Ghedira MH, Gingras H (2008) Comparison of ice-affected streamflow estimates computed using artificial neural networks and multiple regression techniques. J Hydrol 349:83–396
Dawson CW, Wilby RL (2001) Hydrological modelling using artificial neural networks. Prog Phys Geogr 25(1):80–108
Dawson CW, Abrahart RJ, Shamseldin AY, Wilby RL (2006) Flood estimation at ungauged sites using artificial neural networks. J Hydrol 319:391–409
de la Maza M, Tidor B (1993) An analysis of selection procedures with particular attention paid to proportional and Boltzmann selection. In: Forrest S (ed) Proceedings of the fifth international conference on genetic algorithms
Farmer JD, Sidorowich J (1987) Predicting chaotic time series. Phys Rev Lett 59(8):845–848
Franchini M (1996) Using a genetic algorithm combined with a local search method for the automatic calibration of conceptual rainfall-runoff models. Hydrol Sci J 41(1):21–40
Franchini M, Galeati G (1997) Comparing several genetic algorithm schemes for the calibration of conceptual rainfall-runoff models. Hydrol Sci J 42(3):357–379
Gao C, Gemmer M, Zeng X, Liu B, Su B, Wen Y (2010) Projected streamflow in the Huaihe River Basin (2010–2100) using artificial neural network. Stoch Environ Res Risk Assess 24:685–697
Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, Reading
Govindaraju RS (2000) Artificial neural networks in hydrology II. Hydrological applications. J Hydrol Eng 5(2):124–137
Griffis VW, Stedinger JR (2007) The use of GLS regression in regional hydrologic analyses. J Hydrol 344:82–95
Grubbs FE, Beck G (1972) Extension of sample sizes and percentage points for significance tests of outlying observations. Technometrics 14:847–854
Hackelbusch A, Micevski T, Kuczera G, Rahman A, Haddad K (2009) Regional flood frequency analysis for Eastern New South Wales: a region of influence approach using generalized least squares based parameter regression. In Proceedings 31st Hydrology and Water Resources Sympsium, Newcastle, Australia
Haddad K, Rahman A (2011) Regional flood estimation in New South Wales Australia using generalised least squares quantile regression. J Hydrol Eng 16(11):920–925. doi:10.1061/(ASCE)HE.1943-5584.0000395
Haddad K, Rahman A (2012) Regional flood frequency analysis in eastern Australia: Bayesian GLS regression-based methods within fixed region and ROI framework—quantile regression vs. parameter regression technique. J Hydrol 430–431(2012):142–161
Haddad K, Rahman A, Weinmann PE, Kuczera G, Ball JE (2010) Streamflow data preparation for regional flood frequency analysis: lessons from south-east Australia. Aust J Water Resour 14(1):17–32
Haddad K, Rahman A, Stedinger JR (2012) Regional flood frequency analysis using Bayesian generalized least squares: a comparison between quantile and parameter regression techniques. Hydrol Process 26:1008–1021
Haddad K, Rahman A, Zaman M, Shrestha S (2013) Applicability of Monte Carlo cross validation technique for model development and validation using generalised least squares regression. J Hydrol 482:119–128
Haddad K, Rahman A, Ling F (2014) Regional flood frequency analysis method for Tasmania, Australia: a case study on the comparison of fixed region and region-of-influence approaches. Hydrological Sciences Journal. doi:10.1080/02626667.2014.950583
Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor 183
Hosking JRM, Wallis JR (1993) Some statics useful in regional frequency analysis. Water Resour Res 29(2):271–281
Huo Z, Feng S, Kang S, Huang G, Wang F, Guo P (2012) Integrated neural networks for monthly river flow estimation in arid inland basin of Northwest China. J Hydrol 420–421:159–170
Institution of Engineers Australia (I.E. Aust.) (1987, 2001). Australian rainfall and runoff: a guide to flood estimation. In: Pilgrim DH (ed), Vol 1. I. E. Aust., Canberra
Ishak E, Haddad K, Zaman M, Rahman A (2011) Scaling property of regional floods in New South Wales Australia. Nat Hazards 58:1155–1167. doi:10.1007/s11069-011-9719-6
Ishak E, Rahman A, Westra S, Sharma A, Kuczera G (2013) Evaluating the non-stationarity of Australian annual maximum floods. J Hydrol 494:134–145
Jain A, Srinivasulu S (2004) Development of effective and efficient rainfall-runoff models using integration of deterministic, real-coded genetic algorithms and artificial neural network techniques. Water Resour Res 40:W04302. doi:10.1029/2003WR002355
Jain A, Srinivasalu S, Bhattacharjya RK (2005) Determination of an optimal unit pulse response function using real-coded genetic algorithm. J Hydrol 303:199–214
Kendall MG (1970) Rank correlation methods, 2nd edn. Hafner, New York
Khu ST, Liong SY, Babovic V, Madsen H, Muttil N (2001) Genetic programming and its application in real-time runoff forecasting. J Am Water Resour Assoc 37(2):439–451
Kjeldsen TR, Jones D (2009) An exploratory analysis of error components in hydrological regression modeling. Water Resour Res 45:W02407. doi:10.1029/2007WR006283
Kjeldsen TR, Jones DA (2010) Predicting the index flood in ungauged UK catchments: on the link between data-transfer and spatial model error structure. J Hydrol 387(1–2):1–9. doi:10.1016/j.jhydrol.2010.03.024
Kuczera G (1999) Comprehensive at-site flood frequency analysis using Monte Carlo Bayesian inference. Water Resour Res 35(5):1551–1557
Kuichling E (1889) The relation between the rainfall and the discharge of sewers in populous districts. Trans Am Soc Civ Eng 20:1–56
Luk KC, Ball JE, Sharma A (2001) An application of artificial neural networks for rainfall forecasting. Math Comput Model 33:683–693
McCulloch WS, Pitts W (1943) A logic calculus of the ideas immanent in nervous activity. Bull Math Biol 5:115–133
Micevski T, Hackelbusch A, Haddad K, Kuczera G, Rahman A (2014) Regionalisation of the parameters of the log-Pearson 3 distribution: a case study for New South Wales. Aust Hydrol Process. doi:10.1002/hyp.10147
Morshed J, Kaluarachchi JJ (1998) Application of artificial neural network and genetic algorithm in flow and transport simulations. J AdvWater Res 22(2):145–158
Ouarda TBMJ, Bâ KM, Diaz-Delgado C, Cârsteanu C, Chokmani K, Gingras H, Quentin E, Trujillo E, Bobée B (2008) Intercomparison of regional flood frequency estimation methods at ungauged sites for a Mexican case study. J Hydrol 348:40–58
Pilgrim DH, McDermott GE (1982) Design floods for small rural catchments in eastern New South Wales. Civil Eng Trans Inst. Eng Aust CE24 pp 226–234
Pirozzi J, Ashraf M, Rahman A, Haddad K (2009) Design flood estimation for ungauged catchments in Eastern NSW: evaluation of the probabilistic rational method. In: Proceedings 31st hydrology and water resources Symposium, Newcastle, Australia
Rahman A (2005) A quantile regression technique to estimate design floods for ungauged catchments in South-east Australia. Aust J Water Resour 9(1):81–89
Rahman A and Carroll D (2004) Appropriate spatial variability of flood producing variables in the joint probability approach to design flood estimation. British Hydrological Society International Conference, London, 12–16 July 2004, 1, pp 335–340
Rahman A, Bates BC, Mein RG, Weinmann PE (1999) Regional flood frequency analysis for ungauged basins in south–eastern Australia. Aust J Water Resour 3(2):199–207
Rahman A, Haddad K, Caballero W and Weinmann PE (2008) Progress on the enhancement of the probabilistic rational method for Victoria in Australia. 31st Hydrology and Water Resources Symposium, Adelaide, 15–17 April 2008, pp 940–951
Rahman A, Haddad K, Zaman M, Kuczera G, Weinmann PE (2011) Design flood estimation in ungauged catchments: a comparison between the probabilistic rational method and quantile regression technique for NSW. Aust J Water Resour 14(2):127–137
Rahman A, Weinmann PE, Hoang TMT, Laurenson EM (2002) Monte Carlo Simulation of flood frequency curves from rainfall. J Hydrol 256(3–4):196–210 ISSN 0022-1694
Rooji AJFV, Jain LC, Johnson RP (1996) Neural network training using genetic algorithm. World Scientific Publishing Co. Pty. Ltd., p 130
Savic DA, Walters GA, Davidson JW (1999) A genetic programming approach to rainfall-runoff modelling. Water Resour Manag 12:219–231
See L, Openshaw S (1999) Applying soft computing approaches to river level forecasting. Hydrol Sci J 44(5):763–778
Stedinger JR, Tasker GD (1985) Regional hydrologic analysis—1. Ordinary, weighted and generalized least squares compared. Water Resour Res 21:1421–1432
Thomas DM, Benson MA (1970) Generalization of streamflow characteristics from drainage-basin characteristics. US Geological Survey Water Supply Paper 1975, US Governmental Printing Office
Tiwari MK, Chatterjee C (2010) A new wavelet–bootstrap–ANN hybrid model for daily discharge forecasting. J Hydroinformatics 13(3):500–519
Turan ME, Yurdusev MA (2009) River flow estimation from upstream flow records by artificial intelligence methods. J Hydrol 369:71–77
Wang QJ (1991) The genetic algorithm and its application to calibrating conceptual rainfall-runoff models. Water Resour Res 27(9):2467–2471
Weeks WD (1991) Design floods for small rural catchments in Queensland, civil engineering transactions, IEAust, Vol CE33. No 4:249–260
Wu J, Li N, Yang H, Li C (2008) Risk evaluation of heavy snow disasters using BP artificial neural network: the case of Xilingol in Inner Mongolia. Stoch Environ Res Risk Assess 22:719–725
Zaman M, Rahman A, Haddad K (2012) Regional flood frequency analysis in arid regions: a case study for Australia. J Hydrol 475:74–83
Zhang B, Govindaraju RS (2003) Geomorphology-based artificial neural networks for estimation of direct runoff over watersheds. J Hydrol 273(1):18–34
Acknowledgments
The authors would like to acknowledge Engineers Australia to provide funding for this task, various state water agencies, and Australian Bureau of Meteorology for providing data for the study. The data used in this study have been prepared as part of Australian Rainfall and Runoff (ARR) Revision Project 5 Regional flood methods. The authors would like to acknowledge Dr Gu Fang, A/Prof Surendra Shrestha, Professor George Kuczera, Mr Erwin Weinmann, Mr Mark Babister, A/Prof James Ball, Dr Khaled Haddad, and Dr William Weeks for their comments and suggestion on the project.
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Aziz, K., Rai, S. & Rahman, A. Design flood estimation in ungauged catchments using genetic algorithm-based artificial neural network (GAANN) technique for Australia. Nat Hazards 77, 805–821 (2015). https://doi.org/10.1007/s11069-015-1625-x
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DOI: https://doi.org/10.1007/s11069-015-1625-x