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
- Dekki Widiatmoko, Aripriharta Aripriharta, Kasiyanto Kasiyanto, Dodo Irmanto, Muchamad Wahyu Prasetyo, Power Efficiency using Bank Capacitor Regulator on Field Service Shoes with Fast Charge Method , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 23 No. 2 (2024)
- Nora Dery Sofya, Shinta Esabella, Rodianto Rodianto, RANCANG BANGUN APLIKASI KAMUS BAHASA SUMBAWA BERBASIS ANDROID , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 17 No. 1 (2017)
- Herlina Jayadianti, Budi Santosa, Judanti Cahyaning, Shoffan Saifullah, Rafal Drezewski, Essay auto-scoring using N-Gram and Jaro Winkler based Indonesian Typos , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 22 No. 2 (2023)
- Yarza Aprizal, Rabin Ibnu Zainal, Afriyudi Afriyudi, Perbandingan Metode Backpropagation dan Learning Vector Quantization (LVQ) Dalam Menggali Potensi Mahasiswa Baru di STMIK PalComTech , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 18 No. 2 (2019)
- Khaerul Yasin, Ahmat Adil, Implementasi Google Maps API Pemetaan Jalur Evakuasi Bencana Alam di Kabupatem Lombok Utara , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 19 No. 1 (2019)
- Imanuddin Imanuddin, Fachrid Alhadi, Raza Oktafian, Ahmad Ihsan, Deteksi Mata Mengantuk pada Pengemudi Mobil Menggunakan Metode Viola Jones , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 18 No. 2 (2019)
- Dewa Ayu Kadek Pramita, Ni Wayan Sumartini Saraswati, I Putu Dedy Sandana, Poria Pirozmand, I Kadek Agus Bisena, Optimizing Hotel Room Occupancy Prediction Using an Enhanced Linear Regression Algorithms , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 24 No. 1 (2024)
- Annisa Nurul Puteri, Suryadi Syamsu, Topan Leoni Putra, Andita Dani Achmad, Support Vector Machine for Predicting Candlestick Chart Movement on Foreign Exchange , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 22 No. 2 (2023)
- Anthony Anggrawan, Mayadi Mayadi, Application of KNN Machine Learning and Fuzzy C-Means to Diagnose Diabetes , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 22 No. 2 (2023)
- Romi Choirudin, Ahmat Adil, Implementasi Rest Api Web Service dalam Membangun Aplikasi Multiplatform untuk Usaha Jasa , MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer: Vol. 18 No. 2 (2019)
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)
