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Journal : Limits: Journal of Mathematics and Its Applications

Perbandingan Metode GWR, MGWR, dan MGWR-SAR pada Data Persentase Penduduk Miskin di Pulau Jawa Fahriya, Andina; Susetyo, Budi; Sumertajaya, I Made
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 2 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v22i2.3057

Abstract

The primary goal of Sustainable Development Goals (SDGs) is to end poverty everywhere in all its forms. Poverty is defined as the inability to meet basic needs, such as food, clothing, shelter, education, and healthcare. In Indonesia, the poor population has reached 26.36 million people, with half of them residing on Java Island. Extensive research has been conducted on poverty, particularly using a spatial approach. Spatial regression is a statistical method that explicitly incorporates geographical aspects into a model framework. In spatial regression, two main challenges arise: spatial dependence and heterogeneity. These two effects are inherently interconnected and must be considered simultaneously. Mixed Geographically Weighted Regression with Spatial Autoregressive (MGWR-SAR) is a combination of Mixed Geographically Weighted Regression (MGWR) and Spatial Autoregressive (SAR). MGWR-SAR effectively addresses both spatial dependence and spatial heterogeneity simultaneously. This study aims to determine the best method for modeling the percentage of poor population on Java. The variables used included PPM, BPJSPBI, PPKM, PLSMP, PPTB, BPNT, NCPR, and IPM. The kernel function was selected based on the smallest cross-validation (CV) value, which was a Fixed Gaussian with a CV of 603.8268. Based on the GWR model, the global variables identified were PPTB, BPNT, and IPM, whereas the remaining variables were local. The MGWR-SAR method was found to be the best model for predicting the percentage of poor population, with an AIC = 448.9645, RMSE = 1.9075, and  = 75.23%.
Co-Authors Abdullah Mubarok Abdulloh Mubarok Acep Hidayat Adi Pamungkas, Priyo adwendi, satria june Agung Wahyudi Biantoro Ahmad Mulyadiprana Ahmad Ridwan Aini, Sylvi Noor Al Obaidi, Abdulkareem Sh. Mahdi Al-Wahid, Azhar Anang Kurnia Anisa, Rosiana Salsa Aprillia, Imas Diana Ar Radi, Mohammad Ardisal Ardisal Arga, Kevin Arif Irawan, Arif Arif Wicaksono Arifin, Hadi S Aripiani, Dena Tresna Aritonang, Febriola Nova Fitri ASEP SAEFUDDIN Asmaran, Adam Azita, Nabila Nurrachmatika Aziz, Muhammad Jiddan Azizah, Dian Fitria Badri, Lusi N Bahagia Bahagia Bahagia Bahagia Baihaqi Fanani Bela, Muhammad Rafi Wirdan Assyakir Tandu Budi Rahman Chaidir, Ainun Dahlan, Dadang - Damayanti, Fika Darmawan, Rian Deviro, Sonya Okta Dewi Jasmina, Dewi Dewi, Irma Arlini Dewi, Kiki Patricia Dewi, Nurul Huda Fitriani Dian Kurniasari Dien Noviany Rahmatika Dudi Gunawan, Dudi Dwikorawati, Syarifah Sofiah El-sabagh, Mennatallah Eliskar, Nelvi Roza Eliyas, Andri Endang Rochyadi, Endang Erdiawati S.R., Witri Erwin Hermawan Fachruddin Majeri Mangunjaya Fahriya, Andina Fajar, Ibrahim Farit Mochamad Afendi Fatima, Ratih Fatimah, Ratih Fety Fatimah Firdaus, Firman Fitrianto, Anwar Gatot, Masitowati Gena Diniarti Gibtha Fitri Laxmi Hakim, Anisah Oktafiani Hapsari, Elvina Hari Wijayanto Hasan, Herlina Hermawati, Neni Hernawati, Tati hery saputra Hidayati, Oni Hidayaturrahman, Haerul Holidah, Siti Dedah Homdijah, Oom Sitti I Made Sumertajaya Ida Royani Iding Tarsidi Imas Diana Aprilia Indahwati, NFN Indriany, Syilvia Indupurnahayu Intan, Seri Ismail, Gunawan Isnarabani, Isnarabani Jamalulael, Idrus Janah, Rahmatul Jawu, Patricia Kanicia Jia, Jap Ee Juli Riyanto Tri Wijaya Kaisar Gusti, Raynold Karwono, H Khairil Anwar Notodiputro Khoshsimov, Maksud Kriswan, Suliana Kusman Sadik Kusnendi, K. Kusumastuti, Shinta Dewi La Ode Abdul Rahman Lailatul Qomariah, Dhona M Nur Aidi, M Nur Machfud Machfud Maharaeni, Amalia Mahben Jalil Mangunjaya, Fachruddin Majeri Mashudi, Rudy Maulana, Edi Sujati Mawardi Amin Mei Rani Amalia Mindita Pratiya, Mutiara Ayu Muchlisah, Anugerah Mufarihah, . muhamad iqbal Muhammad Isradi Muhammad Nur Aidi Murdiyanto, Edy Mustofa Usman Nadiyah, Salma Nandi Warnandi Ningrum, Almyanti Nurfadilah, Khalilah Nurfajrin, Tria Ermina Nurhayati H.S. Arifin Nurhayati, Immas Nurlaili, Rizka Nursaniah, Sofi Septiani Julaeha Pannu, Abdullah Ponijo, Ponijo Pradana, Rahadian Sakti Prayogi, Dicky Afdi Primasari, Dewi Pujiastuti, Zakiyah Puspa Eosina Putri, Lamina Amalia Qurrotul Uyun, Hana Rachman, Nurul Aulia Rahma, Sukma Laksita Rahmanissa, Fashihah Rahmawat, NFN Rahmawati, nFN Ranti Novianti Ratnasari, Andika Putri Renea Shinta Aminda Rimun Wibowo Rimun Wibowo, Rimun Rina Maryanti Rivaldi Virgiawan RIZQITA, ALYA JILAN Sadiyyah, Enung Siti Safaruddin Hidayat Al Ikhsan Safitri, Ratu D Safitri, Wa Ode Rahmalia Sanusi, Ratna Nur Mustika Saputra, Siti Dedah Holidah Sarifudin, Usep Saripudin, Usep Sembiring, Febryna Setiono, Dedi Bangun Shafa, Qisthy Fathiya Sidik, Sahrul Sidik, Sahul Soemarna, Paula Amelia Hany Sofiah, Syarifah Solihat, Ai Nur Sri Widati Subekti, Mr. Sulandra, Ardelia Maharani Sulistyaningsih, Reny Sumarno . Sunardi Sunardi Suriyani, . Suryani, Ajeng Susilawati , Agnes Dwita Susilawati, Agnes Dwita Syafril, Muthia Syafwandi, Syafwandi Tambrin, Nita Nitya Intan Taqwa, Hafiz Teguh Prasetyo Tjahjo Tri Hartono Tri Hartono, Tjahjo Tri Permadi Triswandari, Retno Utami Dyah Syafitri Utami, Irwanti Cinta Dwi Vegit Risana Hughes Vernandes Laia, Ardianto Vidayanti, Desiana Waluyo Wan Muhamad, Wan Zuki Azman Wanahad, Udin Warsono Wibowo, Setyo Wahyu Widiatmaka Widjayanti, Indri Widya, Mamad Wiwi Siswaningsih Wiyanti, Sari Wulandari, Fransisca Diyan Inge Yuliasih, Umi Yuni Fitriani, Yuni Yuniarti Herwinarni Yunita, Eva Anggra Zulaikha, Aidha