Comparison of Semivariogram Models in Rain Gauge Network Design

Authors

  • Mohd Khairul Bazli Mohd Aziz Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, 26300 Gambang, Pahang, Malaysia http://orcid.org/0000-0002-1585-3140
  • Fadhilah Yusof Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia
  • Zalina Mohd Daud UTM Razak School of Engineering and Advanced Technology, Universiti Teknologi Malaysia, Malaysia
  • Zulkifli Yusop Institute of Environmental and Water Resource Management (IPASA), Faculty of Civil Engineering, Universiti Teknologi Malaysia, Malaysia
  • Mohammad Afif Kasno Department of Electronic & Computer Engineering Faculty, Universiti Teknikal Malaysia, Melaka, Malaysia

DOI:

https://doi.org/10.11113/matematika.v35.n2.1155

Abstract

The well-known geostatistics method (variance-reduction method) is commonly used to determine the optimal rain gauge network. The main problem in geostatistics method to determine the best semivariogram model in order to be used in estimating the variance. An optimal choice of the semivariogram model is an important point for a good data evaluation process. Three different semivariogram models which are Spherical, Gaussian and Exponential are used and their performances are compared in this study. Cross validation technique is applied to compute the errors of the semivariograms. Rain-fall data for the period of 1975 – 2008 from the existing 84 rain gauge stations covering the state of Johor are used in this study. The result shows that the exponential model is the best semivariogram model and chosen to determine the optimal number and location of rain gauge station.

Author Biography

Mohd Khairul Bazli Mohd Aziz, Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, 26300 Gambang, Pahang, Malaysia

SENIOR LECTURER,

DEPARTMENT OF MATHEMATICS

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Published

2019-07-31

How to Cite

Mohd Aziz, M. K. B., Yusof, F., Mohd Daud, Z., Yusop, Z., & Kasno, M. A. (2019). Comparison of Semivariogram Models in Rain Gauge Network Design. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 35(2), 157–170. https://doi.org/10.11113/matematika.v35.n2.1155

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Articles