A Comparison of Some Interpolation Techniques for Determining Spatial Distribution of Nitrogen Compounds in Groundwater

Urszula Bronowicka‐Mielniczuk1, Jacek Mielniczuk1, Radomir Obroślak2, Wojciech Przystupa1
1Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Głęboka 28, 20-612, Lublin, Poland
2Department of Environmental Engineering and Geodesy, University of Life Sciences in Lublin, Leszczyńskiego 7, 20-069, Lublin, Poland

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Bernard-Jannin L, Sun X, Teissier S et al (2017) Spatio-temporal analysis of factors controlling nitrate dynamics and potential denitrification hot spots and hot moments in groundwater of an alluvial floodplain. Ecol Eng 103:372–384. https://doi.org/10.1016/j.ecoleng.2015.12.031

Boesch DF, Brinsfield RB, Magnien RE (2001) Chesapeake Bay eutrophication: scientific understanding, ecosystem restoration, and challenges for agriculture. J Environ Qual 30:303–320

Duchon J (1977) Splines minimizing rotation-invariant semi-norms in Sobolev spaces. Springer, Berlin, pp 85–100

Franke R, Nielson G (1980) Smooth interpolation of large sets of scattered data. Int J Numer Methods Eng 15:1691–1704. https://doi.org/10.1002/nme.1620151110

Golden Software LLC (2018) Surfer®16. Golden, Colorado. www.goldensoftware.com

Hardy RL (1971) Multiquadric equations of topography and other irregular surfaces. J Geophys Res 76:1905–1915. https://doi.org/10.1029/JB076i008p01905

Hardy RL (1990) Theory and applications of the multiquadric-biharmonic method. Comput Math Appl 19:163–208. https://doi.org/10.1016/0898-1221(90)90272-L

Hong N, White JG, Weisz R et al (2007) Groundwater nitrate spatial and temporal patterns and correlations. Vadose Zone J 6:53. https://doi.org/10.2136/vzj2006.0065

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

Kazemi E, Karyab H, Emamjome M-M (2017) Optimization of interpolation method for nitrate pollution in groundwater and assessing vulnerability with IPNOA and IPNOC method in Qazvin plain. J Environ Health Sci Eng 15:23. https://doi.org/10.1186/s40201-017-0287-x

Kennedy CD, Genereux DP, Corbett DR, Mitasova H (2009) Spatial and temporal dynamics of coupled groundwater and nitrogen fluxes through a streambed in an agricultural watershed. Water Resour Res. https://doi.org/10.1029/2008wr007397

Li J (2016) Assessing spatial predictive models in the environmental sciences: accuracy measures, data variation and variance explained. Environ Model Softw 80:1–8. https://doi.org/10.1016/J.ENVSOFT.2016.02.004

Li J, Heap AD (2011) A review of comparative studies of spatial interpolation methods in environmental sciences: performance and impact factors. Ecol Inform 6:228–241. https://doi.org/10.1016/J.ECOINF.2010.12.003

Ohmer M, Liesch T, Goeppert N, Goldscheider N (2017) On the optimal selection of interpolation methods for groundwater contouring: an example of propagation of uncertainty regarding inter-aquifer exchange. Adv Water Resour 109:121–132. https://doi.org/10.1016/j.advwatres.2017.08.016

Orlik T, Jóźwiakowski K, Marzec M (2005) The role of grassland in reducing surface pollution from agriculture in a hilly terrain (in Polish). Acta Agrophys 5:93–101

R Core Team (2018) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. https://www.r-project.org/

Rabalais NN, Turner RE, Wiseman WJ (2001) Hypoxia in the Gulf of Mexico. J Environ Qual 30:320–329

Rocha H (2009) On the selection of the most adequate radial basis function. Appl Math Model 33:1573–1583

Shepard D (1968) A two-dimensional interpolation for irregularly-spaced data function. In: Proceedings of the 1968 ACM national conference. New York, USA, pp 517–523

Spalding RF, Exner ME (1993) Occurrence of nitrate in groundwater—a review. J Environ Qual 22:392–402. https://doi.org/10.2134/jeq1993.00472425002200030002x

Wackernagel H (2003) Multivariate geostatistics. An introduction with applications, 3rd edn. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05294-5_1

Webster R, Oliver M (2007) Geostatistics for environmental scientists. Wiley, Hoboken

Willmott CJ (1981) On the validation of models. Phys Geogr 2:184–194. https://doi.org/10.1080/02723646.1981.10642213

Zhu X (2016) GIS for environmental applications: a practical approach. Routledge, Abingdon