Abstract
Snow water equivalent (SWE) is a key parameter in hydrological cycle, and information on regional SWE is required for various hydrological and meteorological applications, as well as for hydropower production and flood forecasting. This study compares the snow depth and SWE estimated by multivariate linear regression (MLR), discriminant function analysis, ordinary kriging, ordinary kriging-multivariate linear regression, ordinary kriging-discriminant function analysis, artificial neural network (ANN) and neural network-genetic algorithm (NNGA) models. The analysis was performed in the 5.2 km2 area of Samsami basin, located in the southwest of Iran. Statistical criteria were used to measure the models’ performances. The results indicated that NNGA, ANN and MLR methods were able to predict SWE at the desirable level of accuracy. However, the NNGA model with the highest coefficient of determination (R 2 = 0.70, P value < 0.05) and minimum root mean square error (RMSE = 0.202 cm) provided the best results among the other models. The lower SWE values were registered in the east of study area and higher SWE values appeared in the west of study area where altitude was higher.




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Agarwal A, Mishra SK, Ram S, Singh JK (2006) Simulation of runoff and sediment yield using artificial neural networks. Biosyst Eng 94(4):597–613
Alsamamra H, Ruiz-Arias JN, Pozo-Vazquez D, Tovar-Pescador J (2009) A comparative study of ordinary and residual kriging techniques for mapping global solar radiation over southern Spain. Agric For Meteorol 149:1343–1357
Ancey C, Gervasoni C, Meunier M (2004) Computing extreme avalanches. Cold Reg Sci Technol 39:161–180
Balk B, Elder K (2000) Combining binary decision tree and geostatistical methods to estimate snow distribution in a mountain watershed. Water Resour Res 36:13–26
Bloschl G, Kirnbauer R, Gutknecht D (1991) Distribution snowmelt simulations in an alpine catchment’s. 1. Model evaluation on the basis of snow cover patterns. Water Resour Res 27:3171–3179
Bocchiola D, Rosso R (2007) The distribution of daily snow water equivalent in the central Italian Alps. Adv Water Resour 30:135–147
Coulibaly P, Bobee B, Anctil F (2001) Improving extreme hydrologic events forecasting using a new criterion for artificial neural network selection. Hydrol Process 15:1533–1536
Eckert N, Parent E, Belanger L, Garcia S (2007) Hierarchical Bayesian modelling for spatial analysis of the number of avalanche occurrences at the scale of the township. Cold Reg Sci Technol 50:97–112
Elder K, Dozier J, Michaelsen J (1991) Snow accumulation and distribution in an alpine watershed. Water Resour Res 27:1541–1552
Elder K, Rosenthal R, Davis RE (1998) Estimating the spatial distribution of snow water equivalent in a mountain watershed. Hydrol Process 12:1793–1808
Erxleben J, Elder K, Davis R (2002) Comparison of spatial interpolation methods for estimating snow distribution in Colorado Rocky Mountains. Hydrol Process 16:3627–3649
Forster JL, Sun C, Walker JP, Kelly R, Chang A, Dong J, Powell H (2004) Quantifying the uncertainty in passive microwave snow water equivalent observations. Remote Sens Environ 94:187–203
Gan TY, Kalinga O, Singh P (2009) Comparison of snow water equivalent retrieved from SSM/I passive microwave data using artificial neural network, projection pursuit and nonlinear regressions. Remote Sens Environ 113(5):919–927
Goldberg DE (1989) Genetic algorithm in search, optimization and machine learning. Addison-Wesley, Reading, MA, 412 pp
Gottfried M, Pauli H, Grabherr G (1998) Prediction of vegetation patterns at the limits of plant life: a new view of the alpine-nival ecotone. Arct Alp Res 30(3):207–221
Hutchinson MF (1992) Spline A and LAPPNT, center for resource and environmental studies. Australian National University, Conberra, Australia, 320 pp
Hengl T, Heuvelink GBM, Rossiter DG (2007) About regression-kriging: from equations to case studies. Comput Geosci 33:1301–1315
Iliadis L, Maris F (2007) An artificial neural network model for mountainous water-resources management: the case of Cyprus mountainous watersheds. Environ Modell Softw 22:1066–1072
Itten KI, Meyer P (1993) Geometric and radiometric correction of TM data of mountainous forested areas. IEEE Trans Geosci Remote Sens 31(4):764–770
Journel AG, Huijbregts CJ (1978) Mining geostatistics. Academic Press, London, p 600
Kind RJ (1981) Snow drifting. In: Gray DM, Male DH (eds) Handbook of snow: principles, processes, management, use. Elsevier, New York, pp 338–359
Licznar P, Nearing MA (2003) Artificial neural networks of soil erosion and runoff prediction at the plot scale. Catena 51:89–114
Lloyd CD, Atkinson PM (2001) Assessing uncertainty in estimates with ordinary and indicator kriging. Comput Geosci 27:929–937
Molotch NP, Colee MT, Bales RC, Dozier J (2005) Estimating the spatial distribution of snow water equivalent in an alpine basin using binary regression tree models. Hydrol Process 19(7):1459–1479
Morshed J, Kaluarachchi JJ (1998) Application of artificial neural network and genetic algorithm in flow and transport simulations. Adv Water Resour 22(2):145–158
NeuroSolutions (2003) The neural network simulation environment. NeuroDimension Inc, FL
Ostendorf B, Mayr V, Tappeiner U (1999) The ECOMONT GIS-contents and goals. In: Cernusca A, Tappeiner U, Bayfield N (eds) Land-use changes in European mountain ecosystems. ECOMONT-concept and results. Blackwell Wiss.-Verl., Berlin, pp 180–187
Ostendorf B, Hilbert DW, Kostner B, Tappeiner U, Tasser E (1999) Toward a predictive understanding of ecosystem processes at the scale of landscapes. In: Oxley L, Scrimgeour F, McAleer M (eds) International congress on modelling and simulation proceedings, vol 3. The Modelling and Simulation Society of Australian and New Zealand, Canberra, pp 685–690
Parent E, Bernier J (2003) Encoding prior experts judgments to improve risk analysis of extreme hydrological events via POT modeling. J Hydrol 283:1–18
Patil KR, Mody RN (2005) Determination of sex by discriminant function analysis and stature by regression analysis: a lateral cephalometric study. Forensic Sci Int 147:175–180
Payne MC, Nolin AW (2005) Basin-scale interpolation of snow water equivalent using PRISM, SNOTEL and MODIS. Oregon State University, Corvallis
Rajurkar MP, Kothyari UC, Chaube UC (2004) Modeling of the daily rainfall-runoff relationship with artificial neural network. J Hydrol 285:96–113
Razi MA, Athappilly K (2005) A comparative predictive analysis of neural networks (NNs), nonlinear regression and classification and regression tree (CART) models. Expert Syst Appl 29:65–74
Roebber PJ, Bruening SL, Schultz DM, JV Cortinas Jr (2002) Improving snowfall forecasting by diagnosing snow density. Weather Forecast 18:264–287
Sharifi MR (2007) Investigation of spatial distribution of snow water equivalent using combined methods. Ph.D. thesis, Faculty of Water Sciences, Shahid Chamran University, Ahvaz, Iran, 227 pp
Simpson JJ, McIntire TJ (2001) A recurrent neural network classifier for improved retrievals of areal extent of snow cover. IEEE Trans Geosci Remote Sens 39(10):2135–2147
Srinivasulu S, Jain R (2006) A comparative analysis of training methods for artificial neural network rainfall–runoff models. Appl Soft Comput 6:295–306
Tappeiner U, Tappeiner G, Aschenwald J, Tasser E, Ostendorf B (2001) GIS-based modelling of spatial pattern of snow cover duration in an alpine area. Ecol Modell 138:265–275
Tedesco M, Pulliainen J, Takala M, Hallikainen M, Pampaloni P (2004) Artificial neural network-based techniques for the retrieval of SWE and snow depth from SSM/I data. Remote Sens Environ 90:76–85
Tveito OE, Udnæs HC, Engeset R, Alfnes E (2004) Distributed snow water equivalent mapping. Eur Geosci Union 6:03435
Valverde Ramirez MC, De Campos Velho HF, Ferreira NJ (2005) Artificial neural network technique for rainfall forecasting applied to the Sao Paulo region. J Hydrol 301:146–162
Winstral A, Elder K, Davis RE (2002) Spatial snow modeling of wind-redistributed snow using terrain-based parameters. J Hydrometeorol 3(5):524–538
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
Zhou F, Guo HC, Ho YS, Wu CZ (2007) Scientometric analysis of geostatistics using multivariate methods. Scientometrics 73(3):265–279
Acknowledgments
The authors express their gratitude to Bu-Ali Sina University for its supports. Special thanks are due to the different people who measured the required parameters. The efforts of the anonymous reviewers in improving the article also appreciated.
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Tabari, H., Marofi, S., Abyaneh, H.Z. et al. 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 (2010). https://doi.org/10.1007/s00521-009-0320-9
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DOI: https://doi.org/10.1007/s00521-009-0320-9