CALCULATION OF CENTRAL JAVA PROVINCE REGION AREA USING SHOELACE FORMULA BASED ON THE GADM DATABASE

  • Adi Setiawan Department of Mathematics, Faculty of Science and Mathematics, Universitas Kristen Satya Wacana
  • Eko Sediyono Department of Mathematics, Faculty of Science and Mathematics, Universitas Kristen Satya Wacana
  • Tundjung Mahatma Faculty of Information Technology, Universitas Kristen Satya Wacana
DOI: https://doi.org/10.30598/barekengvol16iss2pp597-606
Keywords: Shoelace Formula, Global Administrative Areas (GADM), Universal Transverse Mercator (UTM), MdAPE (Median Absolute Percentage Error)

Abstract

This study proposes the use of the shoelace formula to determine the area of the regencies and towns/cities in the province of Central Java, which is based on the boundaries of the cities, regencies, (sub-) districts, and villages using the database from the GADM (Global Administrative Area). The results obtained are then compared with the Karney polygon method. With the shoelace formula, the area of Central Java province is 34365.40 km2 (4.77% wider than the reference area), while the Karney polygon method yields 34379.48 km2 (4.81% wider than the reference area). The area calculated using the boundaries of sub-districts is closer to the reference area if compared to using the boundaries of the regencies/cities and of villages. MdAPE values of 6.46 % and 6.54 % are obtained using the shoelace formula and the Karney polygon method respectively.

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Published
2022-06-01
How to Cite
[1]
A. Setiawan, E. Sediyono, and T. Mahatma, “CALCULATION OF CENTRAL JAVA PROVINCE REGION AREA USING SHOELACE FORMULA BASED ON THE GADM DATABASE”, BAREKENG: J. Math. & App., vol. 16, no. 2, pp. 597-606, Jun. 2022.
Issue
Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Section
Articles

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