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Comparison of Interpolation Methods for the Prediction of Reference Evapotranspiration—An Application in Greece

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  • M. Mardikis
  • D. Kalivas
  • V. Kollias

Abstract

The objective of this paper is to evaluate four interpolation methods, concerning their suitability for spatial prediction of long-term mean daily reference evapotranspiration (calculated by Penman–Monteith equation) for each month in Greece. The methods studied were ordinary kriging (OK) and inverse distance squared (IDS) and their modifications in which elevation data was incorporated into the interpolation process. The modified methods were named residual kriging (RK), and gradient-plus-inverse distance squared (GIDS). Apart from interpolation methods, two different approaches were studied in order to define what the proper sequence of steps is in the case of the interpolation of reference evapotranspiration. More particularly the ‘calculate first, interpolate later’ (CI) procedure was compared to the reverse procedure, namely ‘interpolate first, calculate later’ (IC). The assessment criteria of the methods accuracy were: mean error (ME), mean absolute error (MAE) and root mean squared error (RMSE). The results revealed that the incorporation of elevation significantly improved the performance of interpolation methods. On the contrary, procedures CI and IC were very similar since they had no effect on the performance of the four interpolation methods studied. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • M. Mardikis & D. Kalivas & V. Kollias, 2005. "Comparison of Interpolation Methods for the Prediction of Reference Evapotranspiration—An Application in Greece," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 19(3), pages 251-278, June.
    • Handle: RePEc:spr:waterr:v:19:y:2005:i:3:p:251-278
    DOI: 10.1007/s11269-005-3179-2
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    Cited by:

    1. Alexandris, Stavros & Proutsos, Nikolaos, 2020. "How significant is the effect of the surface characteristics on the Reference Evapotranspiration estimates?," Agricultural Water Management, Elsevier, vol. 237(C).
    2. Saeedeh Shirin Manesh & Hossein Ahani & Mehdi Rezaeian-Zadeh, 2014. "ANN-based mapping of monthly reference crop evapotranspiration by using altitude, latitude and longitude data in Fars province, Iran," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 16(1), pages 103-122, February.
    3. Jinyan Zhan & Haiming Yan & Bin Chen & Jiao Luo & Nana Shi, 2012. "Decomposition Analysis of the Mechanism Behind the Spatial and Temporal Patterns of Changes in Carbon Bio-Sequestration in China," Energies, MDPI, vol. 5(2), pages 1-13, February.
    4. Soulis, Konstantinos X. & Manolakos, Dimitris & Ntavou, Erika & Kosmadakis, George, 2022. "A geospatial analysis approach for the operational assessment of solar ORC systems. Case study: Performance evaluation of a two-stage solar ORC engine in Greece," Renewable Energy, Elsevier, vol. 181(C), pages 116-128.
    5. Osama Mohawesh, 2010. "Spatio-temporal Calibration of Blaney–Criddle Equation in Arid and Semiarid Environment," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(10), pages 2187-2201, August.
    6. Haiming Yan & Jinyan Zhan & Bing Liu & Yongwei Yuan, 2014. "Model Estimation of Water Use Efficiency for Soil Conservation in the Lower Heihe River Basin, Northwest China during 2000–2008," Sustainability, MDPI, vol. 6(9), pages 1-17, September.
    7. Bulent Tutmez & Mehmet Yuceer, 2013. "Regression Kriging Analysis for Longitudinal Dispersion Coefficient," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(9), pages 3307-3318, July.
    8. Tomas-Burguera, Miquel & Vicente-Serrano, Sergio M. & Grimalt, Miquel & Beguería, Santiago, 2017. "Accuracy of reference evapotranspiration (ETo) estimates under data scarcity scenarios in the Iberian Peninsula," Agricultural Water Management, Elsevier, vol. 182(C), pages 103-116.
    9. Mohammad Kamali & Rouzbeh Nazari & Alireza Faridhosseini & Hossein Ansari & Saeid Eslamian, 2015. "The Determination of Reference Evapotranspiration for Spatial Distribution Mapping Using Geostatistics," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(11), pages 3929-3940, September.
    10. Xiang, Keyu & Li, Yi & Horton, Robert & Feng, Hao, 2020. "Similarity and difference of potential evapotranspiration and reference crop evapotranspiration – a review," Agricultural Water Management, Elsevier, vol. 232(C).
    11. Garcia-Prats, A. & Carricondo-Anton, J.M. & Jiménez-Bello, M.A. & Manzano Juárez, J. & López-Pérez, E. & Pulido-Velazquez, M., 2023. "Dynamic procedure for daily PM56 ETo mapping conducive to site-specific irrigation recommendations in areas covered by agricultural weather networks," Agricultural Water Management, Elsevier, vol. 287(C).
    12. Hüseyin Yavuz & Saffet Erdoğan, 2012. "Spatial Analysis of Monthly and Annual Precipitation Trends in Turkey," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(3), pages 609-621, February.
    13. Zhang, Xiaotao & Kang, Shaozhong & Zhang, Lu & Liu, Junqi, 2010. "Spatial variation of climatology monthly crop reference evapotranspiration and sensitivity coefficients in Shiyang river basin of northwest China," Agricultural Water Management, Elsevier, vol. 97(10), pages 1506-1516, October.
    14. Allen, Richard G. & Dhungel, Ramesh & Dhungana, Bibha & Huntington, Justin & Kilic, Ayse & Morton, Charles, 2021. "Conditioning point and gridded weather data under aridity conditions for calculation of reference evapotranspiration," Agricultural Water Management, Elsevier, vol. 245(C).
    15. H. Assaf & M. Saadeh, 2009. "Geostatistical Assessment of Groundwater Nitrate Contamination with Reflection on DRASTIC Vulnerability Assessment: The Case of the Upper Litani Basin, Lebanon," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(4), pages 775-796, March.

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