Comparison of the Karney Polygon Method and the Shoelace Method for Calculating Area
DOI:
https://doi.org/10.30812/matrik.v23i1.2929Keywords:
Google Earth, Karney Method, Latitude – Longtitude, Shoelace MethodAbstract
In calculating the area of an area, latitude and longitude coordinates are based on data from Global Administrative Region Database and Google Earth can be used. The aim of this research is to calculate the area. This research uses the Karney and Shoelace method to determine its accuracy based on Median Absolute Percentage Error in calculating the area of an area. Median Absolute Percentage Error results use data based on Global Administration The Regional Database by applying the polygon method proposed by Karney is 18.73%, and the percentage is 18.19% by applying the Shoelace method. Based on Google Earth data, implementation the method proposed by Karney obtained a percentage of 19.14%, and the application of shoelaces method obtained a percentage of 19.72%. In this case, Karney polygons and the Shoelace method has good accuracy because the value is below 20%. The proposed Shoelace method is easier to perform understand compared to the Karney method for calculating land area because it uses the Universal Transverse Mercator coordinate system, which projects points on the Earth's surface onto a flat plane.
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References
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[2] C. F. . Karney, “On auxiliary latitudes,†2023.
[3] V. Aprelia Windarni and A. Setiawan, “The Determination of Village Area in Semarang Regency Using The Circle Method,†Jurnal Mercumatika : Jurnal Penelitian Matematika dan Pendidikan Matematika, vol. 6, no. 1, pp. 33–44, 2021, doi: https://doi.org/10.26486/jm.v6i1.1876.
[4] F. Yildirim and F. Kadi, “Determining the area corrections affecting the map areas in GIS applications,†Reports on Geodesy and Geoinformatics, vol. 112, no. 1, pp. 9–17, 2021, doi: https://doi.org/10.2478/rgg-2021-0003.
[5] V. A. Windarni and A. Setiawan, “Comparative Analysis Of Vincenty and Geodesic Method Approaches In Meansuring The Distance Between Subdistrict Offices In Salatiga City,†BAREKENG: Jurnal Ilmu Matematika dan Terapan, vol. 16, no. 4, pp. 1207–1220, 2022, doi: https://doi.org/10.30598/barekengvol16iss4pp1207-1220.
[6] A. Setiawan and E. Sediyono, “Determination of region area in two UTM zone using shoelace formula based on the GADM database,†in Proceeding Of The 1ST International Conference On Standardization And Metrology (ICONSTAM), 2022, p. 040006, doi: https://doi.org/10.1063/5.0103178.
[7] X. Meng et al., “Multi-Feature Fusion: A Driver-Car Matching Model Based on Curve Comparison,†IEEE Access, vol. 7, pp. 83526–83535, 2019, doi: 10.1109/ACCESS.2019.2923795.
[8] T. Stoeck, “Methodology of testing common rail fuel injectors with the use of Gauss’s formulas,†Combustion Engines, vol. 184, no. 1, pp. 11–15, 2021, doi: 10.19206/CE-133505.
[9] B. J. Kronenfeld and J. Deng, “Between the Lines: Measuring Areal Displacement in Line Simplification,†in Advances in Cartography and GIScience of the International Cartographic Association, Jul. 2019, vol. 1, doi: 10.5194/ica-adv-1-9-2019.
[10] A. Setiawan and E. Sediyono, “Area calculation based on GADM geographic information system database,†TELKOMNIKA Telecommunication, Computing, Electronics and Control, vol. 18, no. 3, pp. 1416–1421, 2020, doi: 10.12928/TELKOMNIKA.v18i3.14901.
[11] A. Setiawan, E. Sediyono, and T. Mahatma, “Calculation Of Central Java Province Region Area Using Shoelace Formula Based On The GADM Database,†BAREKENG: Jurnal Ilmu Matematika dan Terapan, vol. 16, no. 2, pp. 597–606, 2022, doi: https://doi.org/10.30598/barekengvol16iss2pp597–606.
[12] E. S. O.Eteje, O. O. F., and O. P. D., “Procedure for Coordinates Conversion between NTM and UTM Systems in Minna Datum Using All Trans and Columbus Software,†International Journal of Scientific Research in Science and Technology, vol. 6, no. 5, pp. 128–143, 2019, doi: 10.32628/ijsrst196517.
[13] W. Bayer, CRC Standard Mathematical Tables. CRC Press; 26th edition, 1978.
[14] V. A. Windarni, D. A. Istiqomah, and A. Setiawan, “Penentuan Luas Lahan dengan Metode Pendekatan Lingkaran Berbasis Google Earth dan GADM untuk Wilayah Kabupaten Semarang,†Jurnal Transformatika, vol. 18, no. 2, p. 151, Jan. 2021.
[15] F. Liantoni and A. Agusti, “Forecasting Bitcoin Using Double Exponential Smoothing Method Based on Mean Absolute Percentage Error,†International Journal on Iinformatics Visualization (JOIV), vol. 4, no. 2, pp. 91–95, 2022.
[16] J. Chamber, Software for Data Analysis Programming with R. New York: Springer-Verlag, 2008.
[17] M. . Maricar, “Analisa Perbandingan Nilai Akurasi Moving Average dan Exponential Smoothing untuk Sistem Peramalan Pendapatan pada Perusahaan XYZ,†Jurnal Sistem dan Informatika, vol. 13, no. 2, pp. 36–45, 2019.
[18] D. Kin and Y. Karpinskyi, “Peculiarities of the method of calculation feature’s geodetic area on the reference ellipsoid in GIS,†in International Conference of Young Professionals, 2022, pp. 1–5, doi: https://doi.org/10.3997/2214-4609.20205757.
[19] Y. Lumban-Gaol, A. N. Safi’i, P. Hartanto, and T. R. N. Rachma, “Analysis on the Effect of Map Projection System for Area Calculation,†in IPTEK Journal of Proceedings Series, 2019, no. 2, pp. 2354–6026, doi: http://dx.doi.org/10.12962/j23546026.y2019i2.5310.
[20] D. Kin and Y. Karpinskyi, “Ontology of Geodetic, Cartometric and Morphometric Methods in The Geoinformation Environment,†European Association of Geoscientists & Engineers, vol. 2021, pp. 1–6, 2021, doi: https://doi.org/10.3997/2214-4609.20215521101.
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Published
2023-11-07
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Articles
How to Cite
[1]
V. A. Windarni, A. Setiawan, and A. Rahmatalia, “Comparison of the Karney Polygon Method and the Shoelace Method for Calculating Area”, MATRIK, vol. 23, no. 1, pp. 39–52, Nov. 2023, doi: 10.30812/matrik.v23i1.2929.
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