Civil Engineering Journal
Vol. 12 No. 8 (2026): August

Probabilistic Spatio-Temporal Prediction of Corrosion in RC Bridges for Sustainable Maintenance Using Hybrid Kriging–HMM

Tri Joko Wahyu Adi (Department of Civil Engineering, Sepuluh Nopember Institute of Technology, Kampus Sukolilo, Surabaya 60117)
Supani (Department of Civil Engineering, Sepuluh Nopember Institute of Technology, Kampus Sukolilo, Surabaya 60117)
I Putu Artama Wiguna (Department of Civil Engineering, Sepuluh Nopember Institute of Technology, Kampus Sukolilo, Surabaya 60117)
Muhammad Ilham (EPC Division, PT. Adhi Karya (Persero), State Owned Construction Company, DKI Jakarta, 12510)



Article Info

Publish Date
01 Aug 2026

Abstract

Reinforced concrete bridges in coastal environments are highly vulnerable to chloride-induced corrosion, which accelerates structural deterioration and increases maintenance demands. Conventional prediction models often fail to capture spatial heterogeneity in environmental exposure and temporal uncertainty in deterioration processes. This study aims to develop an uncertainty-aware spatio-temporal framework for predicting corrosion deterioration and supporting sustainable bridge maintenance decision-making. A hybrid Kriging–Hidden Markov Model is proposed to integrate spatial and temporal uncertainties within a unified probabilistic framework. The Kriging module reconstructs spatial chloride concentration fields from sparse environmental data, while the Hidden Markov Model captures stochastic transitions among latent deterioration states based on corrosion observations, with spatial exposure explicitly incorporated as a probabilistic driver. The framework is applied to three reinforced concrete bridges in Indonesia with varying exposure conditions. The results indicate distinct deterioration trajectories, with nearshore bridges reaching critical damage states at approximately 30 years, compared to about 58 years for inland structures. Model validation against inspection data demonstrates robust predictive performance. The probabilistic outputs provide actionable indicators, including time-to-failure distributions and critical deterioration thresholds, supporting risk-informed and sustainable maintenance strategies. The key novelty of this study lies in integrating spatial environmental variability with probabilistic temporal deterioration modeling within a unified framework to enable adaptive and lifecycle-oriented bridge maintenance decisions.

Copyrights © 2026






Journal Info

Abbrev

cej

Publisher

Subject

Civil Engineering, Building, Construction & Architecture

Description

Civil Engineering Journal is a multidisciplinary, an open-access, internationally double-blind peer -reviewed journal concerned with all aspects of civil engineering, which include but are not necessarily restricted to: Building Materials and Structures, Coastal and Harbor Engineering, ...