Spatial Heterogeneity of Poverty Determinants in Indonesia A Hierarchical Geographically Weighted Regression Approach

Debora Dwi Kurniawati, Henny Pramoedyo, Suci Astutik

Abstract


This study employs the Hierarchical Geographically Weighted Regression (HGWR) model to analyze poverty determinants in Indonesia, addressing spatial heterogeneity and hierarchical data structures simultaneously. Using data across 34 provinces and 508 regencies/cities, the HGWR model with a Gaussian kernel (bandwidth = 15) substantially outperforms the global Ordinary Least Squares (OLS) regression, increasing the R2 value from 0.502 to 0.754. The Moran's I test on the global model residuals (0.2216, p < 0.001) justifies the urgency of accounting for spatial nonstationarity, while the HGWR post-estimation residuals show that spatial autocorrelation is successfully eliminated (-0.000641, p = 0.416). At the regency/city level, adjusted per capita expenditure and the poverty line significantly reduce the poverty headcount rate, whereas the average years of schooling shows no significant localized effect. At the provincial level, the Human Development Index (HDI) consistently reduces poverty (mean coefficient of -0.8082) but exhibits substantial spatial variation, where the impact is strongest in eastern Indonesia (coefficients < -0.95) and weakest in Java (coefficients > -0.65). Conversely, expected years of schooling exhibits a positive mean coefficient (3.4755), with its positive effects highly concentrated in Java. These findings conclude that poverty reduction strategies in Indonesia must be place-based rather than uniform, prioritizing provincial HDI improvements in eastern Indonesia where the marginal returns of development policy are highest.

Keywords


Poverty; Hierarchical Geographically Weighted Regression (HGWR); spatial heterogeneity; multilevel modeling; Indonesia.

Full Text:

PDF

References


[1] Badan Pusat Statistik. Profil Kemiskinan di Indonesia September 2024. Berita Resmi Statistik No. 05/01/Th. XXVIII. Jakarta, Indonesia: Badan Pusat Statistik, Jan. 2025.

[2] Chaeruniza Fitriyani, Rusiti Rusiti, Qori’atul Septiavin, and Euis Ratna Sari. “Analisis Determinan Ketimpangan di Indonesia pada Masa Covid-19”. In: Bappenas Working Papers 7.3 (2024), pp. 293–307. doi: 10.47266/bwp.v7i3.354.

[3] Ragdad Miranti. “Is regional poverty converging across Indonesian districts? A distribution dynamics and spatial econometric approach”. In: Asia-Pacific Journal of Regional Science 5 (Apr. 2021). doi: 10.1007/s41685-021-00199-3.

[4] Lilik Sugiharti, Miguel Angel Esquivias, Mohd Shahidan Shaari, Ari Dwi Jayanti, and Abdul Rahim Ridzuan. “Indonesia’s poverty puzzle: Chronic vs. transient poverty dynamics”. In: Cogent Economics & Finance 11.2 (2023), p. 2267927. doi: 10.1080/23322039.2023.2267927.

[5] Muhammad Arif, Lutfi Muta’ali, and Rijanta. “Mapping poverty traps in Indonesia: a spatial perspective”. In: Regional Statistics 15 (Jan. 2025), pp. 341–364. doi: 10.15196/RS150207.

[6] Francis Huang. Practical Multilevel Modeling Using R. Sage Publications Inc, Dec. 2022. doi: 10.4135/9781071846162.

[7] Taylor Oshan, Jordan Smith, and Alexander Fotheringham. “Targeting the spatial context of obesity determinants via multiscale geographically weighted regression”. In: International Journal of Health Geographics 19 (Apr. 2020). doi: 10.1186/s12942-020-00204-6.

[8] A. Stewart Fotheringham, Chris Brunsdon, and Martin Charlton. Geographically Weighted Regression: The Analysis of Spatially Varying Relationships. Chichester, England: Wiley, 2002.

[9] Devi Hasibuan, Heribertin Teku, Maria Putri, Yudi Setyawan, and Rokhana Bekti. “Application of Geographically Weighted Regression Method on the Human Development Index of Central Java Province”. In: Enthusiastic: International Journal of Applied Statistics and Data Science (Oct. 2023), pp. 189–201. doi: 10.20885/enthusiastic.vol3.iss2.art6.

[10] Thierry Feuillet, Etienne Cossart, Arnaud Banos, Hugo Pilkington, Virginie Chasles, Serge Hercberg, Mathilde Touvier, and Jean-Michel Oppert. “Hybridizing Geographically Weighted Regression and Multilevel Models: A New Approach to Capture Contextual Effects in Geographical Analyses”. In: Geographical Analysis 56 (Jan. 2024), pp. 554–572. doi: 10.1111/gean.12385.

[11] Yigong Hu, Richard Harris, Richard Timmerman, and Binbin Lu. “A Hierarchical and Geographically Weighted Regression Model and Its Backfitting Maximum Likelihood Estimator”. In: 12th International Conference on Geographic Information Science (GIScience 2023). Ed. by Roger Beecham, Jed A. Long, Dianna Smith, Qunshan Zhao, and Sarah Wise. Vol. 277. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2023, 39:1–39:6. doi: 10.4230/LIPIcs.GIScience.2023.39.

[12] Yigong Hu, Binbin Lu, Yong Ge, and Guanpeng Dong. “Uncovering spatial heterogeneity in real estate prices via combined hierarchical linear model and geographically weighted regression”. In: Environment and Planning B: Urban Analytics and City Science 49.6 (2022), pp. 1715–1740. doi: https://doi.org/10.1177/23998083211063885.

[13] Mega Novitasari, Doddy Aditya Iskandar, et al. “Spatial spillover impact of sectoral government expenditure on poverty alleviation in South Kalimantan Province”. In: The Journal of Indonesia Sustainable Development Planning 3.3 (2022), pp. 207–221. doi: https://doi.org/10.46456/jisdep.v3i3.361.

[14] Román Salmerón, Catalina Garcia, and Jose Pérez. “A Redefined Variance Inflation Factor: Overcoming the Limitations of the Variance Inflation Factor”. In: Computational Economics 65 (Mar. 2024), pp. 337–363. doi: 10.1007/s10614-024-10575-8.

[15] Daojun Zhang and Yu Zhang. “Moran’s I of VRPAD: A human activity-sensitive spatial pattern index for vegetation restoration evaluation”. In: Journal of Environmental Management 387 (2025), p. 125948. doi: 10.1016/j.jenvman.2025.125948.

[16] Bülent Güloğlu, Süleyman Taşpınar, Osman Doğan, and Anil K. Bera. “Testing Homoskedasticity in Spatial Panel Data Models”. In: Econometrics and Statistics (2024). doi: 10.1016/j.ecosta.2024.04.003.

[17] Denny Kerkhoff and Fridtjof Nussbeck. “Obtaining Sound Intraclass Correlation and Variance Estimates in Three-Level Models: The Role of Sampling-Strategies”. In: Methodology 18 (Mar. 2022), pp. 5–23. doi: 10.5964/meth.7265.

[18] Vinka Haura Nabilla, Dina Fitria, Dony Permana, and Fadhilah Fitri. “Comparison of Haversine and Euclidean Distance Formulas for Calculating Distance Between Regencies in West Sumatra”. In: UNP Journal of Statistics and Data Science 1.3 (2023), pp. 120–125. doi: 10.24036/ujsds/vol1-iss3/39.

[19] Yigong Hu, Richard Harris, Richard Timmerman, and Binbin Lu. “A Backfitting Maximum Likelihood Estimator for Hierarchical and Geographically Weighted Regression Modelling, with a Case Study of House Prices in Beijing”. In: International Journal of Geographical Information Science 38.12 (2023), pp. 2458–2491. doi: 10.1080/13658816.2024.2391412.

[20] Tuba Koç. “Bandwidth Selection in Geographically Weighted Regression Models via Information Complexity Criteria”. In: Journal of Mathematics 2022 (2022), p. 1527407. doi: 10.1155/2022/1527407.

[21] Marizal Marizal and Husnul Atiqah. “Pemodelan Indeks Pembangunan Manusia di Indonesia dengan Geographically Weighted Regression (GWR)”. In: Jurnal Sains Matematika dan Statistika 8.2 (2022), pp. 1–10. doi: 10.24014/jsms.v8i2.17886.




DOI: https://doi.org/10.18860/cauchy.v11i2.42956

Refbacks

  • There are currently no refbacks.


Copyright (c) 2026 Debora Dwi Kurniawati, Henny Pramoedyo, Suci Astutik

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Editorial Office
Mathematics Department,
Maulana Malik Ibrahim State Islamic University of Malang
Gajayana Street 50 Malang, East Java, Indonesia 65144
e-mail: cauchy@uin-malang.ac.id

Creative Commons License
CAUCHY: Jurnal Matematika Murni dan Aplikasi is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.