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All Journal Zero : Jurnal Sains, Matematika, dan Terapan
Martal, David Vijanarco
School of Data Science, Mathematics, and Informatics, IPB University, Bogor, Indonesia
Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

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Rainfall Risk Modelling for Rice Farming Using Continuous Hidden Markov Models Martal, David Vijanarco; Setiawaty, Berlian; Budiarti, Retno
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 3 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i3.25443

Abstract

Climate change has increased rainfall variability and unpredictability, significantly impacted agricultural productivity, and raised the risk of crop failure, particularly in rain-fed rice farming systems. This study models rainfall data from Tabanan, Bali, using a continuous-time Hidden Markov Model (HMM) to identify latent weather states and assess the associated risk of rice crop failure. The model assumes four hidden states, each generating rainfall observations following a Gamma distribution. Simulation results produced Mean Absolute Percentage Error (MAPE) values below 5% for training and testing sets, indicating strong model performance in replicating rainfall patterns. Risk analysis compared simulated rainfall with rice crop water requirements across three planting periods. The second planting period (July-October) exhibited the highest risk at 3.75%. Compared to other predictive models, HMM offers superior capability in capturing temporal rainfall structure and identifying critical transition phases, making it highly suitable for agricultural risk assessment and climate-adaptive planning.
Co-Authors Berlian Setiawaty Budiarti, Retno