Implementation of Geographically and Temporally Weighted Regression with Cross Validation and Generalized Cross Validation Methods for Deforestation Modeling in Kalimantan

Authors

  • Gema Khusnul Ma'rifah Universitas Pembangunan Nasional Veteran Jawa Timur
  • Mohammad Idhom Universitas Pembangunan Nasional Veteran Jawa Timur
  • Trimono Universitas Pembangunan Nasional Veteran Jawa Timur

DOI:

https://doi.org/10.36456/jstat.vol18.no1.a10331

Keywords:

GTWR, Cross Validation, Generalized Cross Validation

Abstract

Deforestation in Indonesia has received national and international attention for its ecological, economic and social impacts. Kalimantan is an area with high deforestation rates triggered by various factors that vary between locations and time. This study aims to model the deforestation rate in Kalimantan during the period 2014 to 2022 using the Geographically and Temporally Weighted Regression (GTWR) method. The model was tested with a combination of Fixed and Adaptive Gaussian Kernel weighting functions and Cross Validation (CV) and Generalized Cross Validation (GCV) bandwidth determination methods. The results show that the best model is GTWR with Fixed Gaussian Kernel and GCV based on R2 and AIC values. Spatial-temporal analysis shows that neither variable is significant in 2014, forest fires are significant in 2019, and in other years both variables are broadly significant. The findings provide insights into the spatial and temporal dynamics of deforestation factors to support area-based policies.

References

[1] M. Weisse and E. Goldman, “Top 10 Lists,” World Resources Institute. Accessed: Aug. 20, 2024. [Online]. Available: https://research.wri.org/id/node/77

[2] KLHK, “Pengendalian Deforestasi dan Karhutla di Indonesia,” PPID Kementerian Lingkungan Hidup dan Kehutanan Pejabat Pengelola Informasi dan Dokumentasi. Accessed: Aug. 20, 2024. [Online]. Available: https://ppid.menlhk.go.id/berita/siaran-pers/7594/pengendalian-deforestasi-dan-karhutla-di-indonesia

[3] Yusuf Aguswan, “POLA DEGRADASI DAN DEFORESTASI DI KESATUAN HIDROLOGIS GAMBUT (KHG) PROVINSI KALIMANTAN TENGAH TAHUN 2016 -2017,” Jurnal Hutan Tropika (Tropical Forest Journal), vol. XIV, no. 2, pp. 89–98, Dec. 2019, doi: 10.36873/jht.v14i2.1151.

[4] D. L. Pristiandaru, “10 Provinsi dengan Deforestasi Terparah 2023, Mayoritas di Kalimantan,” Kompas.com. Accessed: Aug. 20, 2024. [Online]. Available: https://lestari.kompas.com/read/2024/03/28/090000586/10-provinsi-dengan-deforestasi-terparah-2023-mayoritas-di-kalimantan

[5] A. H. Nawawi and Evangs Mailoa, “Prediksi Lahan Deforestasi Dan Reforestasi Hutan Kalimantan Timur Dengan Metode Rantai Markov,” Decode: Jurnal Pendidikan Teknologi Informasi, vol. 4, no. 1, pp. 251–259, Feb. 2024, doi: 10.51454/decode.v4i1.268.

[6] D. N. Isnaini et al., “Determinants of Deforestation in Kalimantan,” in Seminar Nasional Official Statistics, 2021, pp. 978–988. doi: 10.34123/semnasoffstat.v2020i1.570.

[7] T. Berlianty and T. Meiliana, “Potensi Deforestasi di Pulau Kalimantan: Pro dan Kontra Migrasi,” International Journal of Demos (IJD), vol. 5, no. 2, pp. 279–290, Jun. 2023, doi: 10.37950/ijd.v5i2.426.

[8] N. I. Fawzi and M. Y. Iswari, “Analisis Heat Island pada Perkebunan Kelapa Sawit: Studi Kasus di Kabupaten Kayong Utara, Kalimantan Barat,” Jurnal Wilayah dan Lingkungan, vol. 8, no. 2, pp. 106–115, Aug. 2020, doi: 10.14710/jwl.8.2.106-115.

[9] F. Ulandari and R. Kurniawan, “PERBANDINGAN ALGORITMA LSDBC DAN DBSCAN PADA PEMETAAN DAERAH RAWAN KEBAKARAN HUTAN: Studi Kasus di Pulau Sumatera, Kalimantan, Sulawesi, dan Papua,” Jurnal Aplikasi Statistika & Komputasi Statistik, vol. 12, no. 2, pp. 25–30, Dec. 2020, doi: 10.34123/jurnalasks.v12i2.281.

[10] T. Z. Adiningrum, A. Prahutama, R. Santoso, D. Statistika, F. Sains, and D. Matematika, “PEMODELAN DEFORESTASI HUTAN LINDUNG DI INDONESIA MENGGUNAKAN MODEL GEOGRAPHICALLY AND TEMPORALLY WEIGHTED REGRESSION (GTWR),” Jurnal Gaussian, vol. 7, no. 3, pp. 314–325, Aug. 2018, doi: 10.14710/j.gauss.7.3.314-325.

[11] S. Haryanto, M. N. Aidi, and A. Djuraidah, “Analysis of the Geographically and Temporally Weighted Regression (GTWR) of the GRDP the Construction Sector in Java Island,” Forum Geografi, vol. 22, no. 1, pp. 130–139, 2019, doi: 10.23917/forgeo.v33i1.7332.

[12] A. D. Putra and S. I. Oktora, “Spatial-Temporal Analysis of Deforestation in Sumatera Island 2011-2019,” in Proceedings of The International Conference on Data Science and Official Statistics, 2022, pp. 590–609. doi: 10.34123/icdsos.v2021i1.202.

[13] Harianto, W. H. Nugroho, and E. Sumarminingsih, “Geographically and Temporally Weighted Regression Model with Gaussian Kernel Weighted Function and Bisquare Kernel Weighted Function,” IOP Conf Ser Mater Sci Eng, vol. 1115, no. 1, p. 1, Mar. 2021, doi: 10.1088/1757-899x/1115/1/012063.

[14] A. D. Rahmawati, A. H. Wigena, and M. N. Aidi, “Influencing factors for the human development index in West Java using geographically and temporally weighted regression kernel functions,” Jurnal Pendidikan Geografi: Kajian, Teori, dan Praktek dalam Bidang Pendidikan dan Ilmu Geografi, vol. 28, no. 2, p. 228, Jun. 2023, doi: 10.17977/um017v28i22023p228-241.

[15] Miraati Laia, “Analisis Kinerja Algoritma K-Nearest Neighbor Imputation (KNNI) Untuk Missing Value Pada Klasifikasi Data Mining,” Journal of Informatics, Electrical and Electronics Engineering, vol. 2, no. 3, pp. 92–98, Mar. 2023, doi: 10.47065/jieee.v2i3.891.

[16] T. Maulana Fahrudin, P. Aji Riyantoko, K. Maulida Hindrayani, and I. Gede Susrama Mas Diyasa, “Daily Forecasting for Antam’s Certified Gold Bullion Prices in 2018-2020 using Polynomial Regression and Double Exponential Smoothing,” Journal of International Conference Proceedings, vol. 3, no. 4, pp. 45–53, 2020, doi: 10.32535/jicp.v3i4.1009.

[17] T. Arifianto, Y. A. Pangestu, D. S. Oktaria, L. S. Moonlight, and D. I. Pratiwi, “Prediksi Daya Pada Panel Surya Menggunakan Metode Time Series dan Analisis Regresi,” Jurnal Ilmiah Intech : Information Technology Journal of UMUS, vol. 4, no. 01, pp. 52–63, May 2022, doi: 10.46772/intech.v4i01.674.

[18] Y. Widyaningsih, G. P. Arum, and K. Prawira, “APLIKASI K-FOLD CROSS VALIDATION DALAM PENENTUAN MODEL REGRESI BINOMIAL NEGATIF TERBAIK,” BAREKENG: Jurnal Ilmu Matematika dan Terapan, vol. 15, no. 2, pp. 315–322, Jun. 2021, doi: 10.30598/barekengvol15iss2pp315-322.

[19] T. Trimono, D. I. Asih Maruddani, and D. Ispriyanti, “PEMODELAN HARGA SAHAM DENGAN GEOMETRIC BROWNIAN MOTION DAN VALUE AT RISK PT CIPUTRA DEVELOPMENT Tbk,” JURNAL GAUSSIAN, vol. 6, no. 2, pp. 261–270, 2017, [Online]. Available: http://ejournal-s1.undip.ac.id/index.php/gaussian

[20] G. Mardiatmoko, “PENTINGNYA UJI ASUMSI KLASIK PADA ANALISIS REGRESI LINIER BERGANDA (STUDI KASUS PENYUSUNAN PERSAMAAN ALLOMETRIK KENARI MUDA [CANARIUM INDICUM L.]),” BAREKENG: Jurnal Ilmu Matematika dan Terapan, vol. 14, no. 3, pp. 333–342, Oct. 2020, doi: 10.30598/barekengvol14iss3pp333-342.

[21] Deviani, B. Y. Wulandari, Askariyah, I. J. Fitri, and S. Hariati, “ANALISIS SPASIAL BERBASIS PEMETAAN MENGGUNAKAN GEOGRAPHICALLY WEIGHTED REGRESSION (GWR) PADA SEBARAN JUMLAH WISMA DI KABUPATEN LOMBOK BARAT,” Lebesgue: Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika, vol. 5, no. 2, pp. 660–670, Aug. 2024, doi: 10.46306/lb.v5i2.545.

[22] B. Huang, B. Wu, and M. Barry, “Geographically and temporally weighted regression for modeling spatio-temporal variation in house prices,” International Journal of Geographical Information Science, vol. 24, no. 3, pp. 383–401, Mar. 2010, doi: 10.1080/13658810802672469.

[23] A. S. Fotheringham, C. Brunsdon, and M. Charlton, Geographically Weighted Regression the analysis of spatially varying relationships. England: John Wiley & Sons Ltd, 2002.

[24] A. T. Damaliana, I. Nyoman Budiantara, and V. Ratnasari, “Comparing between mgcv and agcv methods to choose the optimal knot points in semiparametric regression with spline truncated using longitudinal data,” in IOP Conference Series: Materials Science and Engineering, Institute of Physics Publishing, Jul. 2019. doi: 10.1088/1757-899X/546/3/032003.

[25] A. Muhaimin, H. Prabowo, and Suhartono, “Model Selection for Forecasting Rainfall Dataset,” IJDASEA (International Journal of Data Science, Engineering, and Analytics), vol. 1, pp. 1–10, 2021, doi: 10.3390/xxxxx.

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Published

07/24/2025

How to Cite

Implementation of Geographically and Temporally Weighted Regression with Cross Validation and Generalized Cross Validation Methods for Deforestation Modeling in Kalimantan. (2025). J Statistika: Jurnal Ilmiah Teori Dan Aplikasi Statistika, 18(1), 840-850. https://doi.org/10.36456/jstat.vol18.no1.a10331