BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application

CLIMATE COMFORT INDEX ANALYSIS USING SPATIO-TEMPORAL PCA-FASTMCD METHOD

Agus Yarcana (Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Indonesia)
Henny Pramoedyo (Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Indonesia)
Suci Astutik urul Atiqah Romli (Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Indonesia)



Article Info

Publish Date
24 Aug 2026

Abstract

This study addresses the challenge of modeling spatio-temporal climate data that are often affected by outliers, which significantly bias conventional principal component analysis. The main contribution of this research is not merely the application of Spatio-Temporal Principal Component Analysis (STPCA), but its novel integration with the Fast Minimum Covariance Determinant (FASTMCD) method to obtain robust spatio-temporal components that are resilient to outliers in Bali’s climate data. The core methodology involves transforming four climate variables (thermal comfort, cloud cover, rainfall, and wind speed) from 24 stations in Bali (2010–2019) using Fourier basis expansion, applying spatial weighting, and utilizing robust covariance estimation via FASTMCD. The results indicate that the Inverse Power Distance (IPD) weighting scheme optimally captures the spatial structure. Furthermore, the first robust principal component (STPC1) reveals the dominant climate variability, which is driven primarily by thermal comfort and wind speed. This component successfully highlights a clear spatial differentiation between coastal lowland and highland regions despite the presence of extreme observations. These findings imply that the robust STPCA-FASTMCD framework provides a highly stable representation of regional climate patterns, offering a reliable analytical tool for developing climate comfort indices and supporting climate-informed tourism planning in tropical regions.

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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...