MIXED GEOGRAPHICALLY WEIGHTED REGRESSION (MGWR) WITH ADAPTIVE WEIGHTING FUNCTION IN POVERTY MODELING IN NTT PROVINCE

  • Petrus Kanisius Ola Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Indonesia https://orcid.org/0009-0007-9010-9315
  • Atiek Iriany Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Indonesia
  • Suci Astutik Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Indonesia
Keywords: Poverty, GWR, MGWR, Regression

Abstract

Poverty modeling is a crucial economic and social development issue in various regions, including in East Nusa Tenggara (NTT) Province. This research proposes using the Mixed Geographically Weighted Regression (MGWR) model with an adaptive Bisquare weighting function to analyze variables influencing poverty levels in NTT Province. The MGWR model is an extension of the Geographically Weighted Regression (GWR), which allows some variables in the model to have local effects while others have global effects. The adaptive weighting function in the MGWR model enhances the analysis by providing different weights at each location according to its local characteristics, thus making the results more accurate and representative for each area. The data includes economic, social, and infrastructure variables from 22 districts/cities in NTT Province for 2023. The MGWR model with an adaptive weighting function is applied to model the relationship between these variables and poverty levels. The analysis integrates statistical software to manage and analyze spatial data. The study findings show that the MGWR model with an adaptive weighting function offers better estimates than the global regression and GWR models. The results revealed the smallest AIC value for the MGWR model at 104.1888, compared to the global regression model at 140.1427 and the GWR model at 117.6174. This model successfully identifies significant local and global variables and shows variations in influence at different locations in NTT Province. These findings provide valuable insights for policymakers and practitioners in designing and implementing more effective poverty alleviation strategies tailored to local conditions in NTT Province.

Downloads

Download data is not yet available.

References

B. P. Statistik, “Profil Kemiskinan di Indonesia Maret 2018,” Jakarta Badan Pus. Stat., 2018.

W. Nurpadilah, I. M. Sumertajaya, and M. N. Aidi, “Geographically weighted regression with kernel weighted function on poverty cases in West Java province: Regresi terboboti geografis dengan fungsi pembobot kernel pada data kemiskinan di provinsi Jawa Barat,” Indones. J. Stat. Its Appl., vol. 5, no. 1, pp. 173–181, March 2021.

L. Liu, H. Yu, J. Zhao, H. Wu, Z. Peng, and R. Wang, “Multiscale effects of multimodal public facilities accessibility on housing prices based on MGWR: A case study of Wuhan, China,” ISPRS Int. J. Geo-Information, vol. 11, no. 1, p. 57, January 2022.

X. Hu and H. Xu, “Spatial variability of urban climate in response to quantitative trait of land cover based on GWR model,” Environ. Monit. Assess., vol. 191, pp. 1–12, February 2019.

W. Ngabu, H. Pramoedyo, R. Fitriani, and A. B. Astuti, “Spatial modeling of fixed effect and random effect with fast double bootstrap approach,” ComTech Comput. Math. Eng. Appl., vol. 14, no. 1, pp. 1–9, June 2023.

L. Chao, K. Zhang, Z. Li, Y. Zhu, J. Wang, and Z. Yu, “Geographically weighted regression based methods for merging satellite and gauge precipitation,” J. Hydrol., vol. 558, pp. 275–289, March 2018.

T. Feuillet et all, “A massive geographically weighted regression model of walking-environment relationships,” J. Transp. Geogr., vol. 68, pp. 118–129, April 2018.

H. Pramoedyo, W. Ngabu, S. Riza, and A. Iriany, “Spatial analysis using geographically weighted ordinary logistic regression (GWOLR) method for prediction of particle-size fraction in soil surface,” in IOP Conference Series: Earth and Environmental Science, IOP Publishing, 2024, p. 12005.

T. M. Oshan, Z. Li, W. Kang, L. J. Wolf, and A. S. Fotheringham, “mgwr: A Python implementation of multiscale geographically weighted regression for investigating process spatial heterogeneity and scale,” ISPRS Int. J. Geo-Information, vol. 8, no. 6, p. 269, June 2019.

C. Zhao, J. Jensen, Q. Weng, and R. Weaver, “A geographically weighted regression analysis of the underlying factors related to the surface urban heat island phenomenon,” Remote Sens., vol. 10, no. 9, p. 1428, September 2018.

A. Iriany, W. Ngabu, D. Arianto, and A. Putra, “Classification of stunting using geographically weighted regression-kriging case study: stunting in East Java,” BAREKENG J. Ilmu Mat. dan Terap., vol. 17, no. 1, pp. 495–504, March 2023.

I. G. H. Karmana, L. P. I. Harini, K. Jayanegara, and I. P. E. N. Kencana, “Penerapan algoritma glowworm swarm optimization pada model geographically weighted regression dengan kernel adaptif,” E-Jurnal Matematika Vol. 9(1), pp.79-84, January 2020.

I. Pardoe, Applied Regression Modeling. John Wiley & Sons, Inc, 2020.

H. Yang, T. Xu, D. Chen, H. Yang, and L. Pu, “Direct modeling of subway ridership at the station level: a study based on mixed geographically weighted regression,” Can. J. Civ. Eng., vol. 47, no. 5, pp. 534–545, May 2020.

N. S. Arniva, “Parameter estimation and statistical test in mixed model of geographically weighted bivariate poisson inverse gaussian regression,” in 2018 International Symposium on Advanced Intelligent Informatics (SAIN), IEEE, pp. 62–65, August 2018.

D. R. S. Saputro, H. N. Astuti, P. Widyaningsih, and R. Setiyowati, “Characteristics of parameter mixed geographically weighted regression model: global (a-group) and local (b-group),” in Journal of Physics: Conference Series, IOP Publishing, p. 12044, 2021.

C. Brunsdon, S. Fotheringham, and M. Charlton, “Geographically weighted regression,” J. R. Stat. Soc. Ser. D (The Stat., vol. 47, no. 3, pp. 431–443, 1998.

W. Ngabu, R. Fitriani, H. Pramoedyo, and A. B. Astuti, “Cluster fast double bootstrap approach with random effect spatial modeling,” BAREKENG J. Ilmu Mat. dan Terap., vol. 17, no. 2, pp. 945–954, June 2023.

J. Lee and D. W. S. Wong, Statistical Analysis with ArcView GIS. John Wiley & Sons, 2001.

S. D. Permai, A. Christina, and A. A. S. Gunawan, “Fiscal decentralization analysis that affect economic performance using geographically weighted regression (GWR),” Procedia Comput. Sci., vol. 179, pp. 399–406, January 2021.

Published
2024-07-31
How to Cite
[1]
P. Ola, A. Iriany, and S. Astutik, “MIXED GEOGRAPHICALLY WEIGHTED REGRESSION (MGWR) WITH ADAPTIVE WEIGHTING FUNCTION IN POVERTY MODELING IN NTT PROVINCE”, BAREKENG: J. Math. & App., vol. 18, no. 3, pp. 2035-2046, Jul. 2024.