Abstract
Rainfall, a vital component of hydrological cycle, plays a key role in appropriate planning and sustainable management of water resources in water-short regions. However, its uneven distribution over the space and time necessitates getting knowledge about its variability. This study aimed at evaluating efficacy of ordinary and Bayesian kriging techniques in depicting spatial and temporal variability of annual rainfall in arid and semi-arid regions of north-west India. Using 35-year gridded rainfall datasets of India Meteorological Department (IMD at 0.5° resolution, 1971–2005) and Climate Forecast System Reanalysis (CFSR at 0.3° resolution, 1979–2013), geostatistical modelling was performed by employing five kriging techniques with novelty of exploring potential of empirical Bayesian kriging (EBK) technique, for the first time, for rainfall datasets in this study. Performance of the kriging techniques was evaluated by cross-validation based on five criteria. Both exponential ordinary kriging (EOK) and EBK revealed better performance over other kriging techniques. Thus, EOK and EBK were further examined by adopting goodness-of-fit criteria of correlation coefficient (r) and root-mean-square error (RMSE). Very high r values indicated equally excellent performance of both the techniques; however, less RMSE values in case of EBK suggested it as the best-fit technique, which was then used for developing spatially distributed rainfall raster. Spatially distributed 35-year mean annual rainfall (MAR) and coefficient of variation (CV) highlighted very high temporal variability of the annual rainfall (CV > 120%) in the western arid lands of the country with <150 mm MAR values. Thus, under the scenario of scarce availability and high rainfall variability, urgent actions are needed to be taken such as implementation of rainwater-harvesting and groundwater-recharging structures, adoption of less water-requiring crops and micro-irrigation methods in agriculture. Moreover, these findings are useful for the decision makers, planners and resource managers to formulate appropriate strategies for conserving and sustainably managing precious rainwater quantities in arid regions worldwide.
This is a preview of subscription content, access via your institution.





References
Abtew W, Trimble P (2010) El Niño-Southern Oscillation Link to South Florida Hydrology and Water Management Applications. Water Resour Manag 24:4255–4271. doi:10.1007/s11269-010-9656-2
Balathandayutham K, Mayilswami C (2014) Evaluation of spatial and temporal characteristics of rainfall variability on Parambikulam Aliyar Palar (Pap) Basin, Tamil Nadu, India. Trends Biosci 7(3):183–190
Basistha A, Arya DS, Goel NK (2007) Spatial Distribution of Rainfall in Indian Himalayas – A Case Study of Uttarakhand Region. Water Resour Manag 22:1325–1346. doi:10.1007/s11269-007-9228-2
Berndt C, Rabiei E, Haberlandt U (2014) Geostatistical merging of rain gauge and radar data for high temporal resolutions and various station density scenarios. J Hydrol 508:88–101. doi:10.1016/j.jhydrol.2013.10.028
Buytaert W, Celleri R, Willems P et al (2006) Spatial and temporal rainfall variability in mountainous areas: A case study from the south Ecuadorian Andes. J Hydrol 329:413–421. doi:10.1016/j.jhydrol.2006.02.031
Carvalho RC, Woodroffe CD (2015) Rainfall Variability in the Shoalhaven River Catchment and its Relation to Climatic Indices. Water Resour Manag 29:4963–4976. doi:10.1007/s11269-015-1098-4
Castrignanò A, Giugliarini L, Risaliti R, Martinelli N (2000) Study of spatial relationships among some soil physico-chemical properties of a field in central Italy using multivariate geostatistics. Geoderma 97:39–60. doi:10.1016/S0016-7061(00)00025-2
Chen F-W, Liu C-W (2012) Estimation of the spatial rainfall distribution using inverse distance weighting (IDW) in the middle of Taiwan. Paddy Water Environ 10:209–222. doi:10.1007/s10333-012-0319-1
Chu SL, Zhou ZY, Yuan L, Chen QG (2008) Study on spatial precipitation interpolation methods. Pratacult Sci 25(6):19–23
CRU (2000) Climate Research Unit, University of East Anglia. http://www.cru.uea.ac.uk. Accessed 10 May 2016
Dastane NG, Food and Agriculture Organization of the United Nations (1978) Effective rainfall in irrigated agriculture. FAO. Version 25. http://www.fao.org/docrep/X5560E/X5560E00.htm. Accessed 15 April 2016
Delitala AMS, Cesari D, Chessa PA, Ward MN (2000) Precipitation over Sardinia (Italy) during the 1946–1993 rainy seasons and associated large-scale climate variations. Int J Climatol 20:519–541. doi:10.1002/(SICI)1097-0088(200004)20:5<519::AID-JOC486>3.0.CO;2-4
Deutsch CV, Journel AG (1992) GSLIB: geostatistical software library and user’s guide. Oxford University Press, New York
Devijver PA, Kittler J (1982) Pattern recognition: a statistical approach. Prentice-hall, London
Dubois G (1998) Spatial interpolation comparison 97: foreword and introduction. J Geogr Inf Decis Anal 2:1–10
Feng ZM, Ding XQ, Lin ZH, Yang YY (2004) Optimization of the spatial interpolation methods for climate resources. Geogr Res 23:357–364
Fuka DR, Walter MT, MacAlister C et al (2013) Using the Climate Forecast System Reanalysis as weather input data for watershed models. Hydrol Process 28:5613–5623. doi:10.1002/hyp.10073
Garcia M, Peters-Lidard CD, Goodrich DC (2008) Spatial interpolation of precipitation in a dense gauge network for monsoon storm events in the southwestern United States. Water Resour Res 44. doi:10.1029/2006WR005788
Geisser S (1993) Predictive inference. Chapman and Hall, New York
Goovaerts P (1997) Geostatistics for natural resources evaluation. Oxford University Press, New York
Gupta A, Thakur PK, Nikam BR, Chouksey A (2014) Hydrological modelling of upper and middle Narmada basin using geospatial tools. In: Tiwari HL, Suresh S, Jaiswal RK (eds) Hydraulics, water resources, coastal and environmental engineering. Excellent Publishing House, New Delhi, pp 663–675. doi:10.13140/RG.2.1.1065.3688
Gupta A, Kumari M, Rao BK (2017) Spatial and Temporal Variability Analysis Using Modelled Precipitation Data in Upper Catchment of Chambal Basin. In: Abdalla O, Kacimov A, Chen M et al (eds) Water Resources in Arid Areas: The Way Forward. Springer International Publishing, Cham, pp. 75–88. doi:10.1007/978-3-319-51856-5_5
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. doi:10.3354/cr025055
Haan CT (2002) Statistical methods in hydrology, 2nd edn. Iowa State Press, Iowa
Haberlandt U (2007) Geostatistical interpolation of hourly precipitation from rain gauges and radar for a large-scale extreme rainfall event. J Hydrol 332:144–157. doi:10.1016/j.jhydrol.2006.06.028
Haigh MJ (2004) Sustainable management of head water resources: the Nairobi head water declaration (2002) and beyond. Asian J Water Environ Pollut 1(1–2):17–28
Hsieh HH, Cheng SJ, Liou JY, Chou SC, Siao BR (2006) Characterization of spatially distributed summer daily rainfall. J Chin Agric Eng 52(1):47–55
Huffman GJ, Bolvin DT, Nelkin EJ et al (2007) The TRMM Multisatellite Precipitation Analysis (TMPA): Quasi-Global, Multiyear, Combined-Sensor Precipitation Estimates at Fine Scales. J Hydrometeorol 8:38–55. doi:10.1175/JHM560.1
Hutchinson MF (1995) Interpolating mean rainfall using thin plate smoothing splines. Int J Geogr Inf Syst 9:385–403. doi:10.1080/02693799508902045
Hutchinson MF (1998a) 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 2:139–151
Hutchinson MF (1998b) Interpolation of rainfall data with thin plate smoothing splines—part II: analysis of topographic dependence. J Geogr Inf Decis Anal 2:152–167
Isaaks EH (1989) Applied geostatistics. Oxford University Press, New York
Isaaks EH, Srivastava RM (1990) An introduction to applied geostatistics. Oxford University Press, New York
Jajoria DK, Sharma SK, Narolia GP, Dotaniya ML (2015) Rainfall variability: a tool for crop planning of Udaipur region of India. Natl Acad Sci Lett 38:95–98. doi:10.1007/s40009-014-0305-9
Journel AG, Huijbregts Ch-J (1978) Mining Geostatistics. Academic Press, New York, 600 p
Kanamitsu M, Ebisuzaki W, Woollen J et al (2002) NCEP–DOE AMIP-II Reanalysis (R-2). Bull Am Meteorol Soc 83:1631–1643. doi:10.1175/BAMS-83-11-1631
Kisaka MO et al (2015) Rainfall variability, drought characterization, and efficacy of rainfall data reconstruction: case of eastern Kenya. Adv Meteorol 2015:1–16. doi:10.1155/2015/380404
Kitanidis PK (1997) Introduction to geostatistics: applications in hydrogeology. Cambridge University Press, New York, 249 p
Kohavi R (1995) A study of cross-validation and bootstrap for accuracy estimation and model selection. In: Proceedings of the fourteenth international joint conference on artificial intelligence, vol 2. Morgan Kaufmann publishers Inc., San Francisco, CA, USA, pp 1137–1143
Kong Y, Tong W (2008) Spatial exploration and interpolation of the surface precipitation data. Geogr Res 27:1097–1108
Krivoruchko K (2012a) Empirical Bayesian kriging. ArcUser Fall 2012. http://www.esri.com/news/arcuser/1012/empirical-byesian-kriging.html. Accessed 18 July 2016
Krivoruchko K (2012b) Modeling contamination using empirical Bayesian kriging. ArcUser Fall 2012. http://www.esri.com/news/arcuser/1012/modeling-contamination-using-empirical-bayesian-kriging.html. Accessed 18 July 2016
Kusre BC, Singh KS (2012) Study of spatial and temporal distribution of rainfall in Nagaland (India). Int J Geomat Geosci 2:712–722
Lavers DA, Villarini G, Allan RP et al (2012) The detection of atmospheric rivers in atmospheric reanalyses and their links to British winter floods and the large-scale climatic circulation. J Geophys Res Atmos 117. doi:10.1029/2012JD018027
Li JL, Zhang J, Zhang C, Chen QG (2006) Analyze and compare the spatial interpolation methods for climate factor. Pratacult Sci 23(8):6–11
Li L, Xu C-Y, Zhang Z, Jain SK (2014) Validation of a new meteorological forcing data in analysis of spatial and temporal variability of precipitation in India. Stoch Environ Res Risk Assess 28:239–252. doi:10.1007/s00477-013-0745-7
Lloyd CD (2005) Assessing the effect of integrating elevation data into the estimation of monthly precipitation in Great Britain. J Hydrol 308:128–150. doi:10.1016/j.jhydrol.2004.10.026
Louvet S, Paturel JE, Mahé G et al (2016) Comparison of the spatiotemporal variability of rainfall from four different interpolation methods and impact on the result of GR2M hydrological modeling—case of Bani River in Mali, West Africa. Theor Appl Climatol 123:303–319. doi:10.1007/s00704-014-1357-y
Machiwal D, Mishra A, Jha MK et al (2012) Modeling Short-Term Spatial and Temporal Variability of Groundwater Level Using Geostatistics and GIS. Nat Resour Res 21:117–136. doi:10.1007/s11053-011-9167-8
Mahalingam B, Deldar AN, Vinay M (2015) Analysis of selected spatial interpolation techniques for rainfall data. Int J Curr Res Rev 7:66–71
Mair A, Fares A (2010) Comparison of rainfall interpolation methods in a mountainous region of a tropical Island. J Hydrol Eng 16:371–383. doi:10.1061/(ASCE)HE.1943-5584.0000330
Mirzaei R, Sakizadeh M (2016) Comparison of interpolation methods for the estimation of groundwater contamination in Andimeshk-Shush Plain, Southwest of Iran. Environ Sci Pollut Res 23:2758–2769. doi:10.1007/s11356-015-5507-2
Misir V, Arya DS, Murumkar AR (2013) Impact of ENSO on River Flows in Guyana. Water Resour Manag 27:4611–4621. doi:10.1007/s11269-013-0430-0
Mohssen M, Edwards S, Walters AS, Alqassab A (2011) The impact of El Nino and La Nina weather patterns on Canterbury water resources. In: 19th international congress on modelling and simulation, Perth, Australia
Moore DS (1991) Statistics: concepts and controversies, 3rd edn. W.H. Freeman, New York, 439 p
Mouser PJ, Rizzo DM, Röling WFM, van Breukelen BM (2005) A Multivariate Statistical Approach to Spatial Representation of Groundwater Contamination using Hydrochemistry and Microbial Community Profiles. Environ Sci Technol 39:7551–7559. doi:10.1021/es0502627
Najafi MR, Moradkhani H, Piechota TC (2012) Ensemble Streamflow Prediction: Climate signal weighting methods vs. Climate Forecast System Reanalysis. J Hydrol 442–443:105–116. doi:10.1016/j.jhydrol.2012.04.003
Oguntunde PG, Friesen J, van de Giesen N, Savenije HHG (2006) Hydroclimatology of the Volta River Basin in West Africa: Trends and variability from 1901 to 2002. Phys Chem Earth, Parts A/B/C 31:1180–1188. doi:10.1016/j.pce.2006.02.062
Peel MC, Finlayson BL, McMahon TA (2007) Updated world map of the Köppen-Geiger climate classification. Hydrol Earth Syst Sci 11:1633–1644. doi:10.5194/hess-11-1633-2007
Pingale SM, Khare D, Jat MK, Adamowski J (2014) Spatial and temporal trends of mean and extreme rainfall and temperature for the 33 urban centers of the arid and semi-arid state of Rajasthan, India. Atmos Res 138:73–90. doi:10.1016/j.atmosres.2013.10.024
Pombo S, de Oliveira RP (2015) Evaluation of extreme precipitation estimates from TRMM in Angola. J Hydrol 523:663–679. doi:10.1016/j.jhydrol.2015.02.014
Quadro MFL, Berbery EH, Silva Dias MAF et al (2013) The atmospheric water cycle over South America as seen in the new generation of global reanalyses. AIP Conf Proc 1531:732–735. doi:10.1063/1.4804874
Schaefer JA, Mayor SJ (2007) Geostatistics reveal the scale of habitat selection. Ecol Modell 209:401–406. doi:10.1016/j.ecolmodel.2007.06.009
Seaman RS (1983) Objective analysis accuracies of statistical interpolation and successive correction schemes. Aust Met Mag 31:225–240
Shaw EM, Beven KJ, Chappel NA, Lamb R (2011) Hydrology in practice, 4th edn. Spon, London
Shrivastava P, Swarup A (2001) Management of wastewater for environmental protection of freshwater resources: an approach for tropical countries both developing and undeveloped. In: International conference on freshwater, 3–7 December, Bonn
Sorooshian S, Hsu K-L, Gao X et al (2000) Evaluation of PERSIANN System Satellite–Based Estimates of Tropical Rainfall. Bull Am Meteorol Soc 81:2035–2046. doi:10.1175/1520-0477(2000)081<2035:EOPSSE>2.3.CO;2
Tveito OE, Wegehenkel M, van der Wel F, Dobesch H (2008) COST Action 719: the use of geographic information systems in climatology and meteorology. EUR-OP, Luxembourg
Wang Y, Li C, Chen L, Zheng S (2008) Analysis on impact of weight to spatial interpolation methods. J Hunan Univ Sci Technol Nat Sci Ed 23:77–80
Webster R, Oliver MA (2007) Geostatistics for environmental scientists. Wiley, West Sussex, UK
Weedon GP, Gomes S, Viterbo P et al (2011) Creation of the WATCH Forcing Data and Its Use to Assess Global and Regional Reference Crop Evaporation over Land during the Twentieth Century. J Hydrometeorol 12:823–848. doi:10.1175/2011JHM1369.1
Wu W, Chen J, Huang R (2013) Water budgets of tropical cyclones: three case studies. Adv Atmos Sci 30:468–484. doi:10.1007/s00376-012-2050-7
Yang S-K, Kar KK, Lee J-H (2015) Surface rainfall-runoff analysis using NRCS curve number and semi-distributed model in urban watershed of Jeju Island, Korea. H43I1668. In: 2015 AGU fall meeting, San Francisco, California, USA. https://agu.confex.com/agu/fm15/webprogram/Paper59250.html. Accessed 22 May 2017
Acknowledgements
Authors are grateful to all anonymous reviewers for their meticulous comments which helped improving earlier version of this paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gupta, A., Kamble, T. & Machiwal, D. Comparison of ordinary and Bayesian kriging techniques in depicting rainfall variability in arid and semi-arid regions of north-west India. Environ Earth Sci 76, 512 (2017). https://doi.org/10.1007/s12665-017-6814-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12665-017-6814-3
Keywords
- Arid and semi-arid regions
- Coefficient of variation
- Gridded rainfall dataset
- Empirical Bayesian kriging
- Goodness-of-fit criteria
- Rainfall variability
- Geostatistical modelling