CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 11, No 2 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

Hidden Spillovers of Human Development: Enclave Panel Threshold SAR Evidence from West Java

Nidia Ayu (Universitas Brawijaya)
Henny Pramoedyo (Universitas Brawijaya)
Suci Astutik (Universitas Brawijaya)
Friansyah Gani (Universitas Brawijaya)



Article Info

Publish Date
30 Nov 2026

Abstract

This study examines the spatial spillover dynamics of the Human Development Index (HDI) in West Java Province, Indonesia, using the Enclave Panel Threshold Spatial Autoregressive (E-PT-SAR) model and panel data from 27 districts during 2021–2025. The model extends the conventional PT-SAR framework by incorporating enclave identification, distinguishing core prosperous regions, prosperous enclaves, and poor regions. The estimated poverty threshold (γ = 8.5124%) separates West Java into prosperous and 13 poor districts, while the enclavity index and a stationarity-constrained enclave threshold (τ = 0.7143) identify a single prosperous enclave, Ciamis. The results reveal that spatial spillovers differ markedly across regimes. Crucially, the spillover among prosperous districts is insignificant in the conventional two-regime model (ρ = 0.4656, p = 0.240) but becomes significant once the isolated enclave is separated (core prosperous ρ = 0.6344, p = 0.025), revealing a spillover that the standard threshold model masks. A strong spillover is also found in the poor regime (ρ = 0.9740), whereas the enclave shows no statistically detectable spillover, consistent with the hypothesis that spatially isolated prosperity does not diffuse to surrounding poorer areas. The effects decomposition confirms that indirect (spillover) effects dominate in the poor regime. Because the enclave regime comprises only one district, its results are interpreted as exploratory. These findings imply that regional development policies should be tailored to different spatial regimes. Keywords: Spatial Econometrics; E-PT-SAR; Enclave; Spatial Spillover; HDI; West Java

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Journal Info

Abbrev

Math

Publisher

Subject

Mathematics

Description

Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh ...