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Open AccessArticle

Computing the Beta Parameter in IDW Interpolation by Using a Genetic Algorithm

1
Department of Civil Engineering, Transilvania University of Brașov, 5 Turnului Street, 900152 Brașov, Romania
2
Department of Mathematics and Computer Science, Ovidius University of Constanta, 124 Mamaia Av., 900527 Constanta, Romania
*
Author to whom correspondence should be addressed.
Academic Editors: Giuseppe Pezzinga and Elias Dimitriou
Water 2021, 13(6), 863; https://doi.org/10.3390/w13060863
Received: 14 January 2021 / Revised: 22 February 2021 / Accepted: 20 March 2021 / Published: 22 March 2021
(This article belongs to the Special Issue Assessing Water Quality by Statistical Methods)
This article proposes a new approach for determining the optimal parameter (β) in the Inverse Distance Weighted Method (IDW) for spatial interpolation of hydrological data series. This is based on a genetic algorithm (GA) and finds a unique β for the entire study region, while the classical one determines different βs for different interpolated series. The algorithm is proposed in four scenarios crossover/mutation: single-point/uniform, single-point/swap, two-point/uniform, and two-point swap. Its performances are evaluated on data series collected for 41 years at ten observation sites, in terms of mean absolute error (MAE) and mean standard error (MSE). The smallest errors are obtained in the two-point swap scenario. Comparisons of the results with those of the ordinary kriging (KG), classical IDW (with β = 2 and the optimum beta found by our algorithm), and the Optimized IDW with Particle Swarm Optimization (OIDW) for each study data series show that the present approach better performs in 70% (80%) cases. View Full-Text
Keywords: genetic algorithm (GA); IDW; spatial interpolation genetic algorithm (GA); IDW; spatial interpolation
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MDPI and ACS Style

Bărbulescu, A.; Șerban, C.; Indrecan, M.-L. Computing the Beta Parameter in IDW Interpolation by Using a Genetic Algorithm. Water 2021, 13, 863. https://doi.org/10.3390/w13060863

AMA Style

Bărbulescu A, Șerban C, Indrecan M-L. Computing the Beta Parameter in IDW Interpolation by Using a Genetic Algorithm. Water. 2021; 13(6):863. https://doi.org/10.3390/w13060863

Chicago/Turabian Style

Bărbulescu, Alina; Șerban, Cristina; Indrecan, Marina-Larisa. 2021. "Computing the Beta Parameter in IDW Interpolation by Using a Genetic Algorithm" Water 13, no. 6: 863. https://doi.org/10.3390/w13060863

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