Jambura Journal of Mathematics
Vol 8, No 2: August 2025

Geographically and Temporally Weighted Log-Logistic 3-Parameter Regression Model for Poverty Severity Index : A Case Study on East Java Province

Nur Huda (Institut Teknologi Sepuluh Nopember)
Purhadi Purhadi (Institut Teknologi Sepuluh Nopember)
Tintrim Dwi Ary Widhianingsih (Institut Teknologi Sepuluh Nopember)



Article Info

Publish Date
23 Jul 2026

Abstract

This study proposes the Geographically and Temporally Weighted Log Logistic 3 Parameter Regression (GTWLL3R) model as a novel extension of LL3R that simultaneously captures spatial and temporal heterogeneity in poverty severity index. Using the poverty severity index of East Java Province for 2022–2024, local parameters were estimated through an fixed Gaussian kernel weighting matrix based on spatial and temporal distances, with optimization using the Newton–Raphson algorithm. Model performance was evaluated using the corrected Akaike Information Criterion (AICc). The results show that GTWLL3R outperformed the LL3R and GWLL3R models, achieving the lowest AICc value of 18.311, which indicates substantially better model fit and stronger explanatory capability. The estimated coefficients vary across districts/cities and time periods, revealing different patterns of predictor effects on poverty severity index. Based on significant predictor variables, the districts/cities were classified into three clusters. These findings demonstrate that integrating LL3R into the GTWLL3R framework provides a more flexible and accurate approach for analyzing spatiotemporal poverty dynamics and offers stronger evidence for targeted poverty alleviation policies.

Copyrights © 2025






Journal Info

Abbrev

jjom

Publisher

Subject

Mathematics

Description

Jambura Journal of Mathematics (JJoM) is a peer-reviewed journal published by Department of Mathematics, State University of Gorontalo. This journal is available in print and online and highly respects the publication ethic and avoids any type of plagiarism. JJoM is intended as a communication forum ...