Implementation of Spatial Autoregressive Analysis to Determine Factors Affecting the Population Dependency Ratio in West Sumatera
DOI:
https://doi.org/10.36456/jstat.vol18.no2.a10786Keywords:
CPR, Dependency Ratio, Fertility, MAFM, Lag Spatial, Spatial Analysis, West SumateraAbstract
The population dependency ratio illustrates the burden borne by the working-age population in supporting non-working-age groups. This study analyzes the spatial patterns of the dependency ratio across districts/cities in West Sumatra Province in 2024 using a Spatial Autoregressive Model (SAR) and simultaneously identifies the factors influencing it. The results show that Total Fertility Rate (TFR) and Median Age at First Marriage (MAFM) significantly increase the dependency ratio, whereas Contraceptive Prevalence Rate (CPR) and the proportion of elderly population are not statistically significant. The positive and significant spatial lag coefficient (ρ = 0.0852) indicates that higher dependency ratios in neighboring regions contribute to an 8.52% increase in a given region’s dependency ratio, confirming the presence of spatial spillover effects. The spatial approach also reveals interregional variation, demonstrating that the SAR model effectively captures both local and neighboring influences, providing a more accurate understanding of demographic dynamics. These findings underscore the need for targeted policies such as fertility control, and reproductive health education considering interregional interactions to manage the population dependency burden more effectively.
References
[1] M. Panggabean, “Faktor-Faktor Yang Mempengaruhi Dependency Ratio di Indonesia,” in Prosiding Seminar Akademik Tahunan Ilmu Ekonomi dan Studi Pembangunan Studi Pembangunan, 2020, pp. 371–387.
[2] A. N. Sutikno, “Bonus Demografi Di Indonesia,” Visioner, vol. 12, no. 2, pp. 421–439, 2020.
[3] A. Afandi, A. Pratama, and Darmawansyah, “Analysis of Dependency Ratio and Sex Ratio on Economic Growth and HDI in Aceh Tamiang District,” Formosa Journal of Science and Technology, vol. 2, no. 8, pp. 2195–2208, 2023.
[4] A. Yani, A. H. Musa, and R. B. Suharto, “Pengaruh Pertumbuhan Penduduk, Rasio Ketergantungan (Dependency Ratio) dan Indeks Pembangunan Manusia terhadap Pertumbuhan Ekonomi di Samarinda,” Jurnal Ilmu Ekonomi Mulawarman (JIEM), vol. 2, no. 1, 2017.
[5] D. Tirtana, R. Radiwan, and H. Arief, “Pengaruh Dependency Ratio, Indeks Pembangunan Manusia, Pengangguran dan Sanitasi Terhadap Kemiskinan di Jawa Tengah,” Jurnal Ilmu Ekonomi, vol. 5, no. 2, pp. 149–159, 2024.
[6] S. Lee, “The Impact of Total Fertility Rate on Societies,” NumberAnalytics, 2025. [Online]. Available: https://www.numberanalytics.com/blog/total-fertility-rate-societal-impact.
[7] L. Anselin, Spatial Econometrics : Methods and Models. Netherlands: Kluwer Academic Publishers., 1988.
[8] N. R. Intan and E. Sulistiyawan, “Spatial Autoregressive Model untuk Pemodelan Angka Harapan Hidup ( AHH ) di Provinsi Jawa Timur,” J Statistika, vol. 11, no. 2, pp. 37–42, 2018.
[9] D. C. Montgomery, E. A. Peck, and G. G. Vining, introduction to Linear Regression Analysis, vol. 11, no. 1. Hoboken, New Jersey: John Wiley & Sons, Inc., 2012.
[10] N. M. S. Jayani, I. W. Sumarjaya, and M. Susilawati, “Pemodelan Penyebaran Kasus Demam Berdarah Dengue (Dbd) Di Kota Denpasar Dengan Metode Spatial Autoregressive (Sar),” E-Jurnal Matematika, vol. 6, no. 1, pp. 37–46, 2017.
[11] H. Yasin, A. R. Hakim, and B. Warsito, Regresi Spasial (Aplikasi dengan R). 2020.
[12] Salmawaty, Sukma, and M. Abdy, “Regresi Spasial Untuk Menentukan Faktor – Faktor Kemiskinan Di Provinsi Sulawesi Selatan,” no. 1995, p. 8, 2019.
[13] L. Anselin, “Spatial Data Analysis Eith GIS: An Introduction To Application In The Social Sciences,” no. August, 1992.
[14] S. Galla, S. K. Nasib, I. K. Hasan, L. O. Nashar, and A. R. Nuha, “Penerapan Analisis Spatial Autoregressive Model Menggunakan Bishop Contiguity dan Spatial Error Model Menggunakan Queen Contiguity (Studi Kasus : Faktor-Faktor yang Mempengaruhi Indeks Pembangunan Manusia di Pulau Sulawesi Tahun 2022),” vol. 9, no. 1, pp. 1–15, 2025.







