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Spatial Distribution of Rainfall in Indian Himalayas – A Case Study of Uttarakhand Region

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Abstract

Continuous rainfall data in grid format are required to run models for hydrological and agricultural research as well as water resources planning and management. The present work attempts to prepare a normal annual rainfall map in Himalayan region of India lying in Uttarakhand state at 1 km spatial resolution which currently is not available. In the region, India Meteorological Department maintains observatories/raingauge stations and data from 44 stations were used in this study. A comparative analysis of interpolation techniques like Inverse Distance Weighted, Polynomial, Splines, Ordinary Kriging and Universal Kriging shows that Universal Kriging with hole-effect model and natural logarithmic transformation with constant trend having Root Mean Square Error (RMSE) of 328.7 is the best choice. This is followed by Ordinary Kriging (RMSE 329.1), Splines (RMSE 392.4), Inverse Distance Weighted (RMSE 409.8) and Polynomial Interpolation (RMSE 418.5). Cross validation of the results shows the largest over prediction at Tehri rainfall station (62.5%) and largest under prediction at Nainital station (−36.5%). Physiographic zone wise, the least errors occur in the plains and the largest in the Great Himalayas. The spatial average rainfalls are 1,472 mm for Terai/Bhabar, 1,782 mm for the Shivalik ranges, 1,591 mm for the Lesser Himalayas and 1,635 mm for the Great Himalayan region. The mean areal rainfall in the region is 1,608 mm.

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References

  • Arora M, Singh P, Goel NK, Singh RD (2006) Spatial distribution and seasonal variability of rainfall in a mountainous basin in the Himalayan region. Water Resour Manage 20:459–508

    Article  Google Scholar 

  • Barry RG (1981) Mountain weather and climate. Methuen & Co. Ltd, New York

    Google Scholar 

  • Brunsdon C, McClatchey J, Unwin DJ (2001) Spatial variations in the average rainfall–altitude relationship in Great Britain: an approach using geographically weighted regression. Int J Climatol 21:455–466

    Article  Google Scholar 

  • Burrough PA, McDonnel RA (1998) Principles of geographical information systems. Oxford University Press, New York

    Google Scholar 

  • Campling P, Gobin A, Feyen J (2001) Temporal and spatial rainfall analysis across a humid tropical catchment. Hydrol Process 15:359–375

    Article  Google Scholar 

  • Chang KT (2002) Introduction to geographic information systems. Tata McGraw Hill Publishing Company Limited, New Delhi

    Google Scholar 

  • Cheng SJ, Hsieh HH, Wang YM (2007) Geostatistical interpolation of space–time rainfall on Tamshui River basin, Taiwan. Hydrol Process 21:3136–3145

    Article  Google Scholar 

  • Chua SH, Bras RL (1982) Optimal estimators of mean areal precipitation in regions of orographic influence. J Hydrol 57:23–48

    Article  Google Scholar 

  • Climate of Uttar Pradesh (1989) India Meteorological Department, Govt. of India, Pune, p 380

  • Creutin JD, Obled C (1982) Objective analyses and mapping techniques for rainfall fields: an objective comparison. Water Resour Res 18(2):413–431

    Article  Google Scholar 

  • Daly C (2006) Guidelines for assessing the suitability of spatial climate data sets. Int J Climatol 26:707–721

    Article  Google Scholar 

  • Daly C, Neilson RP, Phillips DL (1994) A statistical-topographic model for mapping climatological precipitation over mountainous terrain. J Appl Meteorol 33(2):140–158

    Article  Google Scholar 

  • Daly C, Gibson WP, Taylor GH, Johnson GL, Pasteris P (2002) A knowledge-based approach to the statistical mapping of climate. Clim Res 22:99–113

    Article  Google Scholar 

  • Delfiner P, Delhomme JP (1973) Optimum interpolation by kriging. In: Davis JC, McCullagh MJ (eds) Display and analysis of spatial data. Nato Advanced Study Institute, John Wiley and Sons, London

    Google Scholar 

  • Delhomme JP (1978) Kriging in the hydrosciences. Adv Water Resour 1(5):251–266

    Article  Google Scholar 

  • Dhar ON, Bhattacharya BK (1976) Variation of rainfall with elevation in the Himalayas – a pilot study. Indian J Power River Val Dev XXVI(6):179–185

    Google Scholar 

  • Diodato N (2005) The influence of topographic co-variables on the spatial variability of precipitation over small regions of complex terrain. Int J Climatol 25:351–363

    Article  Google Scholar 

  • Dirks KN, Hay JE, Stow CD, Harris D (1998) High-resolution studies of rainfall on Norfolk Island, Part II: interpolation of rainfall data. J Hydrol 208(3–4):187–193

    Article  Google Scholar 

  • Goovaerts P (1997) Geostatistics for natural resources evaluation. Oxford University Press, New York

    Google Scholar 

  • Goovaerts P (1999) Performance comparison of geostatistical algorithms for incorporating elevation into the mapping of precipitation. Geocomputation 99. http://www.geovista.psu.edu/sites/geocomp99/Gc99/023/gc_023.htm. Accessed June 2004

  • Goovaerts P (2000) Geostatistical approaches for incorporating elevation into the spatial interpolation of rainfall. J Hydrol 228:113–129

    Article  Google Scholar 

  • Guenni L, Hutchinson MF (1998) Spatial interpolation of the parameters of a rainfall model from ground based data. J Hydrol 212–213:335–347

    Article  Google Scholar 

  • Gyalistras D (2003) Development and validation of a high resolution monthly gridded temperature and precipitation data set for Switzerland (1951–2000). Clim Res 25:55–83

    Article  Google Scholar 

  • Hevesi JA, Flint AL, Istok JD (1992) Precipitation estimation in mountainous terrain using multivariate geostatistics. Part II: isohyetal maps. J Appl Meteorol 31:677–688

    Article  Google Scholar 

  • Higuchi K, Ageta Y, Yasunari T, Inoue J (1982) Characteristics of precipitation during the monsoon season in high-mountain areas of Nepal Himalaya. Hydrological Aspects of Alpine and High Mountain areas, IAHS Publication No. 138, 21–30

  • Hutchinson MF, Gessler PE (1994) Splines – more than just a smooth interpolator. Geoderma 62:45–67

    Article  Google Scholar 

  • Hutchinson MF (1998) Interpolation of rainfall data with thin plate smoothing splines – Part I: Two dimensional smoothing of data with short range correlation. J Geogr Inf Decis Anal 2(2):139–151

    Google Scholar 

  • Isaaks EH, Srivastava RM (1989) An introduction to applied geostatistics. Oxford University Press, New York

    Google Scholar 

  • Johansson B, Chen D (2003) The influence of wind and topography on precipitation distribution in Sweden: statistical analysis and modelling. Int J Climatol 23:1523–1535

    Article  Google Scholar 

  • Johnston K, Jay M, Hoef V, Krivoruchko K, Lucas N (2001) Using ArcGIS geostatistical analyst, ESRI

  • Joshi SC (2004) Uttaranchal: environment and development – a geo-ecological overview. Gyanodaya Prakashan, Nainital, Uttarakhand, p 426

  • Kansakar SR, Hannah DM, Gerrard J, Rees G (2004) Spatial pattern in the precipitation regime of Nepal. Int J Climatol 24:1645–1659

    Article  Google Scholar 

  • Lebel T, Bastin G, Obled C, Creutin JD (1987) On the accuracy of areal rainfall estimation: a case study. Water Resour Res 23(11):2123–2134

    Article  Google Scholar 

  • Lloyd CD (2005) Assessing the effect of integrating elevation data into the estimation of monthly precipitation in Great Britain. J Hydrol 308:128–150

    Article  Google Scholar 

  • Martinez-Cob A (1995) Estimation of mean annual precipitation as affected by elevation using multivariate geostatistics. Water Resour Manage 9:139–159

    Article  Google Scholar 

  • Martinez-Cob A (1996) Multivariate geostatistical analysis of evapotranspiration and precipitation in mountainous terrain. J Hydrol 174:19–35

    Article  Google Scholar 

  • Naoum, Tsanis (2003) Temporal and spatial variation of annual rainfall on the island of Crete, Greece. Hydrol Process 17:1899–1922

    Article  Google Scholar 

  • Naoum S, Tsanis IK (2004) Orographic precipitation modelling with multiple linear regression. J Hydrol Eng 9(2):79–102

    Article  Google Scholar 

  • Nguyen RT, Prentiss D, Shively JE (1998) Rainfall Interpolation for Santa Barbara County. http://www.geog.ucsb.edu/dylan/rainfall/rainfall.html. Accessed September 2004

  • Papamichail DM, Metaxa IG (1996) Geostatistical analysis of spatial variability of rainfall and optimal design of a rain gauge network. Water Resour Manage 10:107–127

    Article  Google Scholar 

  • Philips DL, Dolph J, Marks D (1992) A comparison of geostatistical procedures for spatial analysis of precipitation in mountainous terrain. Agric For Meteorol 58:119–141

    Article  Google Scholar 

  • Price DT, McKenney DW, Nalder IA, Hutchinson MF, Kesteven JL (2000) A comparison of two statistical methods for spatial interpolation of Canadian monthly mean climate data. Agric For Meteorol 101:81–94

    Article  Google Scholar 

  • Prudhomme C, Reed DW (1998) Relationships between extreme daily precipitation and topography in a mountainous region: a case study in Scotland. Int J Climatol 18:1439–1453

    Article  Google Scholar 

  • Prudhomme C, Reed DW (1999) Mapping extreme rainfall in a mountainous region using geostatistical techniques: a case study in Scotland. Int J Climatol 19:1337–1356

    Article  Google Scholar 

  • Rajagopalan B, Lall U (1998) Locally weighted polynomial estimation of spatial precipitation. J Geogr Inf Decis Anal 2(2):44–51

    Google Scholar 

  • Saveliev AA, Mucharamova SS, Piliugin GA (1998) Modeling of the daily rainfall values using surface under tension and kriging. J Geogr Inf Decis Anal 22:52–64

    Google Scholar 

  • Singh P, Kumar N (1997) Effect of orography on precipitation in the Western Himalayan Region. J Hydrol 199:183–206

    Article  Google Scholar 

  • Singh P, Ramasastri KS, Kumar N (1995) Topographical influence on precipitation distribution in different ranges of Westerns Himalayas. Nord Hydrol 26:259–284

    Google Scholar 

  • Skirvin SM, Marsh SE, McClaran MP, Meko D (2003) Climate spatial variability and data resolution in a semi-arid watershed, South-eastern Arizona. J Arid Environ 54:667–686

    Article  Google Scholar 

  • Subyani AM (2004) Geostatistical study of annual and seasonal mean rainfall patterns in the Southwest Saudi Arabia. Hydrol Sci J 49(5):803–817

    Article  Google Scholar 

  • Tabios GQ, Salas JD (1985) A comparative analysis of techniques for spatial interpolation of precipitation. Water Resour Bull, Am Water Resour Assoc 21(3):365–380

    Article  Google Scholar 

  • Tang C, Shindo S, Machida I (1998) Topographical effects on distributions of rainfall and 18O distributions: a case in Miyake Island, Japan. Hydrol Process 12:673–682

    Article  Google Scholar 

  • Thomas A, Herzfeld UC (2004) REGEOTOP: new climatic data fields for East Asia based on localized relief information and geostatistical methods. Int J Climatol 24:1283–1306

    Article  Google Scholar 

  • Tomczak M (1998) Spatial interpolation and its uncertainty using automated anisotropic Inverse Distance Weighting (IDW)-Cross-Validation/Jack knife Approach. J Geogr Inf Decis Anal 2(2):18–30

    Google Scholar 

  • Unwin DJ (1969) The areal extension of rainfall records: an alternative model. J Hydrol 7:404–414

    Article  Google Scholar 

  • Upadhyay, Bahadur (1982) On some hydro meteorological aspects of precipitation in Himalayas. Proc. International Symposium on Hydrological Aspects of Mountainous Watersheds, School of Hydrology, University of Roorkee, Manglik Prakashan, Saharanpur, U.P., Vol.-I, I-58–I-65

  • Vicente-Serrano SM, Saz-Sanchez MA, Cuadrat JM (2003) Comparative analysis of interpolation methods in the Middle Ebro Valley (Spain): application to annual precipitation and temperature. Clim Res 24:161–180

    Article  Google Scholar 

  • Wei H, Li JL, Liang TG (2005) Study on the estimation of precipitation resources for rainwater harvesting agriculture in semi-arid land of China. Agric Water Manag 71:33–45

    Article  Google Scholar 

Download references

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Correspondence to D. S. Arya.

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Basistha, A., Arya, D.S. & Goel, N.K. Spatial Distribution of Rainfall in Indian Himalayas – A Case Study of Uttarakhand Region. Water Resour Manage 22, 1325–1346 (2008). https://doi.org/10.1007/s11269-007-9228-2

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  • DOI: https://doi.org/10.1007/s11269-007-9228-2

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