Skip to main content
Log in

MLP-based drought forecasting in different climatic regions

  • Original Paper
  • Published:
Theoretical and Applied Climatology Aims and scope Submit manuscript

Abstract

Water resources management is a complex task and is further compounded by droughts. This study applies a multilayer perceptron network optimized using Levenberg–Marquardt (MLP) training algorithm with a tangent sigmoid activation function to forecast quantitative values of standardized precipitation index (SPI) of drought at five synoptic stations in Iran. The study stations are located in different climatic regions based on De Martonne aridity index. In this study, running series of total precipitation corresponding to 3, 6, 9, 12, and 24 months were used and the corresponding SPIs were calculated: SPI3, SPI6, SPI9, SPI12, and SPI24. The multilayer perceptrons (MLPs) for SPIs with the 1-month lead time forecasting, were tested and validated. Four different input vectors were considered during network development. In the first model, MLP constructed by importing antecedent SPI with 1-, 2-, 3-, and 4-month time lags and antecedent precipitation with 1- and 2-month time lags (MLP1). Addition of antecedent North Atlantic Oscillation or antecedent Southern Oscillation Index with 1-month time lag or both of them to MLP1 led to MLP2, MLP3, and MLP4, respectively. The MLP models were evaluated using the root mean square error (RMSE) and the coefficient of determination (R 2). The results showed that MLP4 had a higher prediction efficiency than the other MLPs. The more satisfactory results of RMSE and R 2 values of MLP4 for 1-month lead time for validation phase were equal to 0.35 and 0.92, respectively. Also, results indicated that MLPs can forecast SPI24 and SPI12 more accurately than the other SPIs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  • Abolverdi J, Khalili D (2010) Probability analysis of extreme regional meteorological droughts by L-moments in a semi-arid environment. Theor Appl Climatol 102:351–366

    Article  Google Scholar 

  • Cullen HM, Kaplan A, Arkin PA, Demenocal PB (2002) Impact of the North Atlantic oscillation on Middle Eastern climate and streamflow. Clim Change 55:315–338

    Article  Google Scholar 

  • Dawson CW, Wilby R (1998) An artificial neural network approach to rainfall runoff modeling. Hydrol Sci J 43:47–66

    Article  Google Scholar 

  • De Martonne E (1942) Nouvelle carte mondiale de l'indice d'aridité. Ann Géogr 51:242–250

    Google Scholar 

  • Dracup JA, Lee KS, Paulson EN Jr (1980) On the statistical characteristics of drought events. Water Resour Res 16(2):289–296

    Article  Google Scholar 

  • Edossa DC, Babel MS, Gupta AD (2010) Drought analysis in the Awash river basin, Ethiopia. Water Resour Manage 24:1440–1460

    Article  Google Scholar 

  • Edwards CD, McKee TB (1997) Characteristics of 20th century drought in the United States at multiple time scales. Atmospheric Science Paper No. 634, Climatology Report, No. 97–2, Dep Atmos Sci, Colorado State Univ

  • Goyal MK, Ojha CSP (2011) PLS regression-based pan evaporation and minimum–maximum temperature projections for an arid lake basin in India. Theor Appl Climatol 105(3–4):403–415

    Article  Google Scholar 

  • Hayes MJ, Svoboda MD, Wihite DA, Vanyarhko OV (1999) Monitoring the 1996 drought using the standardized precipitation index. Bull Am Meteorol Soc 80(3):429–438

    Article  Google Scholar 

  • Hosseinzadeh Talaee P, Heydari M, Fathi P, Marofi S, Tabari H (2011) Numerical model and computational intelligence approaches for estimating flow through rockfill dam. J Hydrol Eng ASCE. doi:10.1061/(ASCE)HE.1943-5584.0000446

  • Hurrell JW (1995) Decadal trends in the North Atlantic Oscillation: regional temperatures and precipitation. Science 269:676–679

    Article  Google Scholar 

  • Jamshidi H, Rezaeian Zadeh M, Abghari H, Khalili D, Singh VP (2009) Multi layer perceptron networks for streamflow forecasting. ICWR conf on Water Res 1:665–670, August 16–18, 2009

    Google Scholar 

  • Kalman BL, Kwasny SC (1992) Why Tanh: choosing a sigmoidal function. Proceedings of the International Joint Conference on Neural Networks. Baltimore 4:578–581

    Google Scholar 

  • Keskin ME, Terzi O, Taylan ED, Küçükyaman D (2011) Meteorological drought analysis using artificial neural networks. Sci Res Essays 6(21):4469–4477

    Google Scholar 

  • Khalili D, Farnoud T, Jamshidi H, Kamgar-Haghighi AA, Zand-Parsa Sh (2010) Comparability analyses of the SPI and RDI meteorological drought indices in different climatic zones. Water Resour Manage. doi:10.1007/s11269-010-772-z

  • Kisi O (2007) Streamflow forecasting using different artificial neural network algorithms. J Hydrol Eng ASCE 12(5):532–539

    Article  Google Scholar 

  • Maier HR, Dandy GC (1998) The effect of internal parameters and geometry on the performance of back-propagation neural networks: an empirical study. Environ Model Softw 13(2):193–209

    Article  Google Scholar 

  • Marofi S, Tabari H, Zare Abyaneh H (2011) Predicting spatial distribution of snow water equivalent using multivariate non-linear regression and computational intelligence methods. Water Resour Manage 25:1417–1435

    Article  Google Scholar 

  • McKee TB, Doesken NJ, Kleist J (1993) The relationship of drought frequency and duration to time scales. In: Proc. 8th Conf. on Applied Climatol, 17–22 January, Americ Meteorol Soc, Mass, pp 179–184

  • Mishra AK, Desai VR (2006) Drought forecasting using feed-forward recursive neural network. Ecol Model 198:127–138

    Article  Google Scholar 

  • Mishra AK, Desai VR, Singh VP (2007) Drought forecasting using a hybrid stochastic and neural network model. J Hydrol Eng ASCE 12(6):626–638

    Article  Google Scholar 

  • Modarres R (2010) Regional dry spell frequency analysis by L-moment and multivariate analysis. Water Resour Manage 24:2365–2380

    Article  Google Scholar 

  • More JJ (1977) The Levenberg—Marquardt algorithm: Implementation and theory, numerical analysis, G. A. Watson, ed., Lecture Notes in Mathematics 630, Springer, New York, 105–116

  • Morid S, Smakhtin V, Moghadasi M (2006) Comparison of seven meteorological indices for drought monitoring in Iran. Int J Climatol 26:971–985

    Article  Google Scholar 

  • Morid S, Smakhtin V, Bagherzadeh K (2007) Drought forecasting using artificial neural networks and time series of drought indices. Int J Climatol 27:2103–2111

    Article  Google Scholar 

  • Nicholson SE, Selato JC (2000) The influence of La-Nina on African rainfall. Int J Climatol 20:1761–1776

    Article  Google Scholar 

  • Pandey RP, Pandey A, Galkate RV, Byun H-R, Mal BC (2010) Integrating hydro-meteorological and physiographic factors for assessment of vulnerability to drought. Water Resour Manage 24:4199–4217

    Article  Google Scholar 

  • Philander SG (1990) El Nino, La Nina, and the Southern Oscillation. Academic, San Diego, CA

    Google Scholar 

  • Rahimikhoob A (2009) Estimating daily pan evaporation using artificial neural network in a semi-arid environment. Theor Appl Climatol 98(1–2):101–105

    Article  Google Scholar 

  • Rahimikhoob A (2010) Estimation of evapotranspiration based on only air temperature data using artificial neural networks for a subtropical climate in Iran. Theor Appl Climatol 101(1–2):83–91

    Article  Google Scholar 

  • Rezaeian Zadeh M, Amin S, Khalili D, Singh VP (2010) Daily outflow prediction by multi layer perceptron with logistic sigmoid and tangent sigmoid activation functions. Water Resour Manage 24(11):2673–2688

    Article  Google Scholar 

  • Rezaeian-Zadeh M, Tabari H, Abghari H (2011) Prediction of monthly discharge volume by different artificial neural network algorithms in semi-arid regions. Arab J Geosci. doi:10.1007/s12517-011-0517-y

  • Soroosh M, Gity F, Sherafat AR, Farahani Kh, Razaghi M (2005) A neural network model for determination of the breakdown voltage for separate absorption and multiplication region avalanche photodiode (SAM-APD). Second IEEE Conf. on Wireless and Optical Communication Networks, UAE, pp 173–177

    Google Scholar 

  • Tabari H, Marofi S, Sabziparvar AA (2010a) Estimation of daily pan evaporation using artificial neural network and multivariate non-linear regression. Irrig Sci 28:399–406

    Article  Google Scholar 

  • Tabari H, Marofi S, Zare Abyaneh H, Sharifi MR (2010b) Comparison of artificial neural network and combined models in estimating spatial distribution of snow depth and snow water equivalent in Samsami basin of Iran. Neural Comput Applic 19:625–635

    Article  Google Scholar 

  • Tabari H, Aeini A, Hosseinzadeh Talaee P, Shifteh Somee B (2011a) Spatial distribution and temporal variation of reference evapotranspiration in arid and semi-arid regions of Iran. Hydrol Process. doi:10.1002/hyp.8146

  • Tabari H, Sabziparvar AA, Ahmadi M (2011b) Comparison of artificial neural network and multivariate linear regression methods for estimation of daily soil temperature in an arid region. Meteor Atmos Phys 110:135–142

    Article  Google Scholar 

  • Tabrizi AA, Khalili D, Kamgar-Haghighi AA, Zand-Parsa Sh (2010) Utilization of time-based meteorological droughts to investigate occurrence of stramflow droughts. Water Resour Manage 24:4287–4306

    Article  Google Scholar 

  • Trenberth K, Caron J (2000) The Southern Oscillation revisited: sea level pressures, surface temperature, and precipitation. J Climate 13:4358–4365

    Article  Google Scholar 

  • Vangelis H, Spiliotis M, Tsakiris G (2010) Drought severity assessment based on bivariate probability analysis. Water Resour Manage. doi:10.1007/s11269-010-9704-y

  • Vasiliades L, Loukas A, Liberis N (2011) A water balancd derived drought index for Pinios River Basin, Greece. Water Resour Manage 25(4):1087–1101

    Article  Google Scholar 

  • Wang W, Van Gelder PHAJM, Vrijling JK, Ma J (2006) Forecasting daily streamflow using hybrid ANN models. J Hydrol 324(1–2):383–399

    Article  Google Scholar 

Download references

Acknowledgments

The authors wish to express a gratitude to the Islamic Republic of Iran Meteorological Organization (IRIMO) for access to the weather station data.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hossein Tabari.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rezaeian-Zadeh, M., Tabari, H. MLP-based drought forecasting in different climatic regions. Theor Appl Climatol 109, 407–414 (2012). https://doi.org/10.1007/s00704-012-0592-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00704-012-0592-3

Keywords

Navigation