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.
Downloads
Download data is not yet available.
References
[1] A. Zaki, Keliling Dunia dengan Google Earth + Google Maps. Yogyakarta, 2010.
[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.
[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.
Downloads
Published
2023-11-07
Issue
Section
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.
Similar Articles
- Kiki Rizki, Ahmat Adil, Implementasi Google Maps Api Berbasis Android untuk Lokasi Fasilitas Umum di Kabupaten Sumbawa , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 17 No. 2 (2018)
- Indradi Rahmatullah, Gibran Satya Nugraha, Arik Aranta, Feature Selection on Grouping Students Into Lab Specializations for the Final Project Using Fuzzy C-Means , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 23 No. 1 (2023)
- Suhirman Suhirman, Shoffan Saifullah, Ahmad Tri Hidayat, Rr Hajar Puji Sejati, Otsu Method for Chicken Egg Embryo Detection based-on Increase Image Quality , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 21 No. 2 (2022)
- Magdalena Ariance Ineke Pakereng, Alz Danny Wowor, Yos Richard Beeh, Felix David, Erwien Christianto, Vincent Exelcio Susanto, Claudio Canavaro, Square Transposition Method with Adaptive Key Flexibility and Strong Diffusion Performance , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 24 No. 3 (2025)
- Vivi Aida Fitria, Lilis Widayanti, Enhancing Accuracy in Stock Price Prediction: The Power of Optimization Algorithms , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 23 No. 2 (2024)
- Virdiana Sriviana Fatmawaty, Imam Riadi, Herman Herman, Higher Education Institution Clustering Based on Key Performance Indicators using Quartile Binning Method , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 24 No. 1 (2024)
- Ahmad Zein Al Wafi, Febry Putra Rochim, Veda Bezaleel, Investigating Liver Disease Machine Learning Prediction Performancethrough Various Feature Selection Methods , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 24 No. 3 (2025)
- Arwin Datumaya Wahyudi Sumari, Fatiha Eros Perdana, Dwi Nugraheny, Sandra Lovrencic, Improving the User Interface and Experience of a Student PortalThrough the Eight Golden Rules , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 24 No. 3 (2025)
- M. Khairul anam, Esi Tri Emerlada, Susi Erlinda, Tashid Tashid, Torkis Nasution, The Application of Usability Testing to Analyze the Quality of Android-Based Acupressure Smart Chair Applications , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 22 No. 2 (2023)
- Firda Yunita Sari, Maharani sukma Kuntari, Hani Khaulasari, Winda Ari Yati, Comparison of Support Vector Machine Performance with Oversampling and Outlier Handling in Diabetic Disease Detection Classification , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 22 No. 3 (2023)
You may also start an advanced similarity search for this article.
Most read articles by the same author(s)
- Denny Indrajaya, Adi Setiawan, Bambang Susanto, Comparison of k-Nearest Neighbor and Naive Bayes Methods for SNP Data Classification , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 22 No. 1 (2022)
.png)
