Abstract

This research compared natural neighbor interpolation with other interpolation methods commonly implemented in ArcGIS. It evaluated the relative performance of interpolation methods for various spatial data distributions, including line transects. It characterized locations which are associated with large prediction errors. To assess the relative performance of interpolation methods, a validation procedure was used consisting of 75% training data and 25% test data. Statistical error measures were used to measure the predictive performance of the interpolation methods, and the spatial distribution of errors was used to characterize areas where interpolation methods performed poorly. Results showed that Topo to Raster, natural neighbor, ordinary kriging, and empirical Bayesian kriging methods consistently outperformed other interpolation methods for a variety of spatial distributions of the data. However, natural neighbor interpolation was unsuitable for linear transects. In general, the accuracy of most of the interpolation methods increased with narrow spatial data distributions. Spatial distribution of large prediction errors was predominantly similar, regardless of the interpolation method used, and was related to changes in physical characteristics.

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Data Availability Statement

Some data, models, or code used during the study were provided by a third party. Direct requests for these materials may be made to the provider as indicated in the Acknowledgements. Some data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors acknowledge the Government of Western Australia, Department of Water and Environmental Regulation and Main Roads WA for providing data. Author Zirakbash gratefully acknowledges Australian Government for Australian Commonwealth Government Research Training Program (RTP) Scholarship.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 25Issue 9September 2020

History

Received: Oct 14, 2019
Accepted: Apr 27, 2020
Published online: Jul 7, 2020
Published in print: Sep 1, 2020
Discussion open until: Dec 7, 2020

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Tara Zirakbash [email protected]
Ph.D. Candidate, College of Science, Health, Engineering and Education, Murdoch Univ., 90 South St., Perth 6150, Western Australia (corresponding author). Email: [email protected]
Senior Lecturer, School of Mathematics and Statistics, Victoria Univ. of Wellington, Kelburn, Wellington 6012, New Zealand. ORCID: https://orcid.org/0000-0002-6951-8006. Email: [email protected]
Anastasia Boronina, Ph.D. [email protected]
Hydrogeologist, Neva Groundwater Consulting, 16 Newton St., Bayswater 6053, Western Australia. Email: [email protected]
Martin Anda, Ph.D. [email protected]
Academic Chair Environmental Engineering, College of Science, Health, Engineering and Education, Murdoch Univ., 90 South St., Perth 6150, Western Australia. Email: [email protected]
Parisa A. Bahri [email protected]
Professor, Discipline of Engineering and Energy, College of Science, Health, Engineering and Education, Murdoch Univ., 90 South St., Perth 6150, Western Australia. Email: [email protected]

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