Operations Research: International Conference Series
Vol 3, No 3 (2022)

Performance Comparison of Covariance Function to Interpolate Unsampled Points with Simulation Data in Manado City

Claudya Soleman (Mathematics Departement of Sam Ratulangi University, Manado, Indonesia)
Winsy Weku (Mathematics Departement of Sam Ratulangi University, Manado, Indonesia)
Deiby Salaki (Mathematics Departement of Sam Ratulangi University, Manado, Indonesia)



Article Info

Publish Date
04 Sep 2022

Abstract

The covariance function measures the strength of statistical correlation as a function of distance. This follows Tobler's law which states that everything is usually related to all else but those which are near to each other are more related when compared to those that are further away. The correct weight of the basic covariance structure will produce the optimal kriging predictor. One interesting way to evaluate the strength of a kriging interpolation is to perform a simulation using a spatial structure. The simulation technique is executed in Manado City. The data is then applied to the variogram model using the spherical and matern covariance functions. The type of kriging method used in this simulation is ordinary kriging. The result shows that the suitable model to use is the matern model. Residual results from cross-validation show that the matern model has a lower biased estimation on both data. According to the RMSE and MAE criteria, the matern model outperforms the spherical model on data A and data B. The results of the interpolation are then visualized in the form of a map. Through this research, it can be concluded that the accuracy of the selection of the covariance function in the variogram model will provide a good estimate for the kriging method, and the most appropriate model for this case is the matern model.

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Journal Info

Abbrev

Orics

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Mathematics

Description

Operations Research: International Conference Series (ORICS) is published 4 times a year and is the flagship journal of the Indonesian Operational Research Association (IORA). It is the aim of ORICS to present papers which cover the theory, practice, history or methodology of OR. However, since OR ...