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Spatial interpolation of monthly and annual rainfall in northeast of Iran

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Abstract

Precipitation maps are the key input to many hydrological models. In this paper different univariate (inverse distance weighing and ordinary kriging) and multivariate (linear regression, ordinary cokriging, simple kriging with varying local mean and kriging with an external drift) interpolation methods are used to map monthly and annual rainfall from sparse data measurements. The study area is Golestan Province, located in northeast of Iran. A digital elevation model is used as complementary information for multivariate approaches. The prediction performance of each method is evaluated through cross-validation and visual examination of the precipitation maps produced. Results indicate that geostatistical algorithms clearly outperform inverse distance weighting and linear regression. Among multivariate techniques, ordinary cokriging or kriging with an external drift yields the smallest error of prediction for months April to October (autumn and winter) for which the correlation between rainfall and elevation is greater than 0.54. For all other months and annual rainfall, ordinary kriging provides the most accurate estimates.

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References

  • Ali A, Woosenu A, Van Horn S, Khanal N (2000) Temporal and spatial characterization of rainfall over central and south Florida. J Am Water Resour 36(4):833–848

    Article  Google Scholar 

  • Asli M, Marcotte D (1995) Comparison of approaches to spatial estimation in a bivariate context. Math Geol 27(5):641–658

    Article  Google Scholar 

  • Boer EPJ, de Beurs KM, Hartkamp AD (2001) Kriging and thin plate splines for mapping climate variables. JAG 3(2):146–154

    Google Scholar 

  • Bosch DD, Davis FM (1998) Rainfall variability and spatial patterns for the southeast. In: Proceedings of the 4th international conference on precision agriculture, 19–22 July, St Paul, MN

  • Cohen AJ, Randall AD (1998) Mean annual runoff, precipitation, and evapotranspiration in the glaciated northeastern United States, 1951–1980. USGS Open-File Technical Report (Reston, USGS). http://water.usgs.gov/lookup/getspatial?ofr96395_eva

  • Delbari M (2013) Accounting for exhaustive secondary data into the mapping of water table elevation. Arab J Geosci. doi:10.1007/s12517-013-0986-2

    Google Scholar 

  • Deutsch CV, Journel AG (1998) GSLIB: Geostatistical Software and User’s Guide, 2nd edn. Oxford University Press, New York

    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 208:187–193

    Article  Google Scholar 

  • Gittins R (1968) Trend-surface analysis of ecological data. J Ecol 56:845–869

    Article  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  • Grimes DIF, Pardo-Iguzquiza E, Bonifacio R (1999) Optimal areal rainfall estimation using raingauges and satellite data. J Hydrol 222:93–108

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Hevesi JA, Istok JD, Flint AL (1992b) Precipitation estimation in mountainous terrain using multivariate geostatistics. Part I: structural analysis. J Appl Meteorol 31:661–676

    Article  Google Scholar 

  • Hofierka J, Parajka J, Mitasova H, Mitas L (2002) Multivariate interpolation of precipitation using regularized spline with tension. Trans GIS 6:135–150

    Article  Google Scholar 

  • Hutchinson MF (1995) Stochastic space-time weather models from ground based data. Agr Forest Meteorol 73:237–264

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  • Moral FJ (2010) Comparison of different geostatistical approaches to map climate variables: application to precipitation. Int J Climatol 30:620–631

    Google Scholar 

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

    Article  Google Scholar 

  • Portalés C, Boronat N, Pardo-Pascual JE, Balaguer-Beser A (2010) Seasonal precipitation interpolation at the Valencia region with multivariate methods using geographic and topographic information. Int J Climatol 30:1547–1563

    Google Scholar 

  • Price DT, McKenney DW, Nalder IA, Hutchinson MF, Kesteven JL (2000) A comparison of two statistical methods for spatial of Canadian monthly mean climate data. Agr Forest Meteorol 101(2):81–94

    Article  Google Scholar 

  • Rivoirard J (2002) On the structural link between variables in kriging with external drift. Math Geol 34(7):797–808

    Article  Google Scholar 

  • Robertson GP (2000) GS+: Geostatistics for the environment sciences. GS+ User’s Guide Version 5: Plainwell, Gamma design software 200 p

  • Rosenthal WD, Hammer GL, Butler D (1998) Predicting regional grain sorghum production in Australia using spatial data and crop simulation modeling. Agr Forest Meteorol 91:263–274

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Thiessen AH (1911) Precipitation averages for large areas. Mon Weather Rev 39(7):1082–1084

    Google Scholar 

  • Tsintikidis D, Georgakakos KP, Sperfslage JA, Smith DE, Carpenter TM (2002) Precipitation uncertainty, raingauge network design within Folsom Lake watershed. ASCE J Hydrol Eng 7(2):175–184

    Article  Google Scholar 

  • Wackernagel H (2003) Multivariate geostatistics: an introduction with applications, 3rd edn. Springer, Berlin

    Book  Google Scholar 

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Authors and Affiliations

  1. Department of Water Engineering, Faculty of Water and Soil, University of Zabol, Zabol, Iran

    Masoomeh Delbari, Peyman Afrasiab & Samane Jahani

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  1. Masoomeh Delbari
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  2. Peyman Afrasiab
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  3. Samane Jahani
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Correspondence to Masoomeh Delbari.

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Responsible editor: B. Ahrens.

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Delbari, M., Afrasiab, P. & Jahani, S. Spatial interpolation of monthly and annual rainfall in northeast of Iran. Meteorol Atmos Phys 122, 103–113 (2013). https://doi.org/10.1007/s00703-013-0273-5

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  • DOI: https://doi.org/10.1007/s00703-013-0273-5

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