Integrating Climate Variables into Coconut Production Forecasting: A Comparative Analysis of ARIMA and ARIMAX Models for Climate-Informed Decision Support
##plugins.themes.academic_pro.article.main##
Abstract
Coconut is a strategic plantation commodity in Padang Pariaman Regency, Indonesia, whose productivity is increasingly influenced by climate variability. Accurate, climate-responsive forecasting is therefore essential to support production planning and early warning systems. This study aims to develop and evaluate a climate-informed ARIMAX model for forecasting coconut production and assessing its potential application in an early warning framework. Annual coconut production data for 2014–2024 were combined with climate variables, including rainfall, temperature, humidity, wind speed, and the number of rainy days. A baseline ARIMA model was first identified, followed by ARIMAX modeling using Maximum Likelihood Estimation. Model selection was based on Akaike Information Criterion (AIC), while forecasting performance was evaluated using Root Mean Square Error (RMSE) and Mean Absolute Percentage Error (MAPE). The results showed that ARIMA(1,1,1) was identified as the optimal baseline model and achieved the lowest forecasting errors based on RMSE and MAPE, indicating its strong capability in capturing the temporal pattern of coconut production. The incorporation of climate variables through ARIMAX demonstrated that rainfall and the number of rainy days significantly influenced coconut production, while temperature, humidity, and wind speed exhibited weaker effects. To improve model stability and avoid multicollinearity, a simplified log-ARIMAX(1,1,1) model was developed by retaining rainfall as the primary exogenous variable. This model achieved the lowest AIC value among the evaluated climate-based models, indicating improved parsimony and explanatory capability. Forecasting results for 2025–2029 indicate a moderate and continuous increase in coconut production. Although ARIMA provides superior predictive accuracy, the rainfall-based ARIMAX model offers additional insights into climate–production relationships, making it valuable for supporting climate-informed forecasting and the future development of early warning frameworks for coconut plantation productivity.
##plugins.themes.academic_pro.article.details##

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
References
- BPS. Sumatera Barat dalam Angka Tahun 2014. Sumatera Barat: Badan Pusat Statistik, https://sumbar.bps.go.id/id/publication/2014/12/23/34e03c721d47f45a5c449374/sumatera-barat-dalam-angka-2014.html
- Nery MKM, Fernandes GST, Pinto JVDN, Rua ML, Santos MGM, Ribeiro LRT et al. The Application of Machine Learning to Model the Impacts of Extreme Climatic Events on the Productivity of Dwarf Green Coconut Trees in the Eastern Amazon. AgriEngineering 2025;7;33 https://doi.org/10.3390/agriengineering7020033
- W PB, Putra ETS, Supriyanta S. Tanggapan Produktivitas Kelapa Sawit (Elaeis guineensis Jacq.) terhadap Variasi Iklim. Jurnal Vegetalika 2015;4:21-34 https://doi.org/10.22146/veg.23941.
- Irfanda M, Santoso E. Peramalan Produksi Kelapa Sawit (Elaeis guineensis Jacq.) di Perkebunan Sei Air Hitam Berdasarkan Kajian Faktor Agroekologi. Buletin Agrohort 2016;4:282-7 https://doi.org/10.29244/agrob.v4i3.14257.
- Amelia D, Zilrahmi, Sari FM. Forecasting Analysis of Total Coconut Production in Padang Pariaman Using teh Double Exponential Smoothing Holt. UNP Journal of Statistics and Data Science 2025;3:226-31 https://doi.org/10.24036/ujsds/vol3-iss2/367
- Mardesci H, Maryam M, Ihwan K. Forecasting Coconut Production in Indragiri Hilir with Autoregressive Moving Average Model. Sistemasi - Jurnal Sistem Informasi 2023;12:219-28 https://doi.org/10.32520/stmsi.v12i1.2531.
- Tom MT, Tiwari DBBT. Comparative Trend Analysis and Forecasting of Coconut Production in Kerala and Karnataka: Emerging Regional Dynamics in India's Coconut Economy. EPRA International Journal of Multidisciplinary Research (IJMR) 2025;11:516-9 https://doi.org/10.36713/epra22332.
- Alandra CR, Permana D. Application of the ARIMA Method for Forecasting the Average Corn Production in Padang Pariaman Regency. Jurnal MSA (Matematika dan Statistika serta Aplikasinya) 2025;13:9-14 https://doi.org/10.24252/msa.v13i1.55288
- Faris RM, Kurniaji K, Budiman D, Yoedani Y, Kusuma MW, Lestari F. Analisis Peramalan Produksi Tanaman Kelapa Sawit Menggunakan Metode ARIMA pada PTPN Kebun Sukamaju. Jurnal Bisnis dan Manajemen West Science 2024;3:275-90 https://doi.org/10.58812/jbmws.v3i03.1537
- Nur RA, Putri DM. Penerapan ARIMA pada Data Curah Hujan di Stasiun Meteorologi Kelas II Minangkabau Padang Pariaman. Jostech - Journal of Science and Technology 2024;4:77-86 https://doi.org/10.15548/jostech.v4i1.8361
- Venu V, Namitha MR. Applications of Auto-regressive Integrated Moving Average (ARIMA) Model in Agricultural Engineering: A Review. Arcc Journal 2025;1-11 https://doi.org/10.18805/ag.r-2780.
- Amri IF, Ramadhan WN, Ainurrofiah S, Haris MA. Permodelan ARIMA dan ARIMAX untuk Memprediksi Jumlah Produksi Padi di Kota Magelang. Square - Journal of Mathematics and Mathematics Education 2023;5:93-105 https://doi.org/10.21580/square.2023.5.2.17059.
- Kaushik S, Bhardwaj N. Integrating Climatic Data for Mustard Yield Forecasting in Haryana: ARIMA vs ARIMAX Models. International Journal of All Research Education and Scientific Methods 2024;12:1581-7 https://doi.org/10.56025/ijaresm.2024.1212241581.
- Xu H, Ge Z, Ao W. Research on Climate Change Prediction based on ARIMA Model and its Impact on Insurance Industry Decision‐Making. Frontiers in Computing and Intelligent Systems 2024;8:1-5 https://doi.org/10.54097/3r7nkd35
- Abdallah M, Cemek B. Modeling of Climatic Variables Using Stochastic Approaches in Sudan. (in en), Anadolu Tarım Bilimleri Dergisi 2023;38:53-68 https://doi.org/10.7161/omuanajas.1145094.
- BPS, Sumatera Barat dalam Angka Tahun 2014. Sumatera Barat: Badan Pusat Statistik - https://sumbar.bps.go.id/id/publication/2014/12/23/34e03c721d47f45a5c449374/sumatera-barat-dalam-angka-2014.html
- Zamaniah LN, Handayani T, Saraswati R. Pengaruh Hujan Ekstrim terhadap Produktivitas Bawang Merah di Kabupaten Probolinggo Jawa Timur. Prosiding Seminar Nasional Pendidikan Geografi FKIP UMPK 2018;173-83, https://digitallibrary.ump.ac.id/63/1/jhptump-ump-gdl01012018-luluunnuri-2285-1-19.peng-p.pdf
- Zamaniah LN, Handayani T, Saraswati R. Pengaruh Hujan Ekstrim terhadap Produktivitas Bawang Merah di Kabupaten Probolinggo Jawa Timur. In Seminar Nasional Pendidikan Geografi FKIP UMPK, Purwokerto 2018;173-183. https://digitallibrary.ump.ac.id/63/1/jhptump-ump-gdl01012018-luluunnuri-2285-1-19.peng-p.pdf
- Vale TMCD, Spyrides MHCS, Andrade LDNB, Bezerra BG, Silva PED. Subsistence Agriculture Productivity and Climate Extreme Events. Atmosphere 2020;12:1-21, https://doi.org/10.3390/atmos11121287.
- Wang H. Agricultural productivity fluctuations and structural transformation—Evidence from rural China. Applied Economic Perspectives and Policy 2024;47:801-22 https://doi.org/10.1002/aepp.13494.
- Muthiah K, Arunya KG, Sridhar V, Patakamuri SK. Heavy Rainfall Impact on Agriculture: Crop Risk Assessment with Farmer Participation in the Paravanar Coastal River Basin. Water 2025;17:658, https://doi.org/10.3390/w17050658.
- G G, S GL. Analysis of Extreme Rainfall and its Impacts of Rice Production in Krishnagiri District. International Journal of Scientific Research in Engineering and Management 2023;7:1-7, https://doi.org/10.55041/IJSREM25642.
- Zou Z, Li C, Wu X, Meng Z, Cheng C. The effect of day-to-day temperature variability on agricultural productivity. Environmental Research Letters 2024;19:124046 https://doi.org/10.1088/1748-9326/ad8ede.
- Adhwaningrum AS, Amri IF, Saputri AD, Diani NL, Pratama RF, Haris MA. Perbandingan Model ARIMA dan ARIMAX untuk Peramalan Temperatur di Kota Semarang. Amalgamasi: Journal of Mathematics and Applications 2024;354-64 https://doi.org/10.55098/amalgamasi.v3.i2.pp54-64.
- Amri IF, Wulandari A, Abidah KN, Irawan AC, Haris MA. Pemodelan ARIMAX untuk Meramalkan Harga Minyak Mentah Dunia. Square: Journal of Mathematics and Mathematics Education 2023;5:47-58 https://doi.org/10.21580/square.2023.5.1.17074
- Lembang FK. Prediksi Laju Inflasi Di Kota Ambon Menggunakan Metode ARIMA Box Jenkins. Jurnal Statistika 2016;1695-102 https://doi.org/10.29313/jstat.v16i2.2188
- Cavanaugh JE, Neath AA. The Akaike information criterion: Background, derivation, properties, application, interpretation, and refinements," WIREs Computational Statistics 2019;11:e1460 https://doi.org/10.1002/wics.1460.
- Ali NN, Kareem ADA. A Comparison of Some Information Criteria to Select a Weather Forecast Model. Turkish Journal of Computer and Mathematics Education 2021;7: 2494-2500 https://turcomat.org/index.php/turkbilmat/article/view/3577
- Utomo VG, Hidayati N, Pinem APR. Evaluation Metrics of Water Meter Reading with Optical Character Recognition. IEEE 2023;323-7 https://doi.org/10.1109/iSemantic59612.2023.10295287
- Mundu MM, Sempewo JL, Uti DE, Comparative Analysis of Model Evaluation Metrics in Energy Systems, Environmental Modeling, and Sustainability Science. International Journal of Energy Research 2026;1:6170467 https://doi.org/10.1155/er/6170467.
- Chen W, Nguyen KA, Lin B. Rethinking Evaluation Metrics in Hydrological Deep Learning: Insights from Torrent Flow Velocity Prediction. Sustainability 2025;17:8658. https://doi.org/10.3390/su17198658.
- Jaradat YM, Alia MA, Masoud MZ, Manasrah AA, Jannoud IA, Alheyasat O. Beyond One-Size-Fits-All: Comparing and Selecting Regression Metrics for Robust Model Assessment. In 2025 12th International Conference on Information Technology (ICIT) 2025; 416-422, doi: https://doi.org/10.1109/ICIT64950.2025.11049268
- Chai T, Draxler RR. Root mean square error (RMSE) or mean absolute error (MAE)? – Arguments against avoiding RMSE in the literature 2014;7:1247-50 https://doi.org/10.5194/GMD-7-1247-2014.
- Pokhrel A, Adhikari R. Leveraging Exogenous Insights: A Comparative Forecast of Paddy Production in Nepal Using ARIMA and ARIMAX Models. Economic Review of Nepal 2023;6:52-69. https://doi.org/10.3126/ern.v6i1.67970.
- Akhisha PA, Sarkar KA, Dhakre DS, Bhattacharya D. Modelling Cropping Intensity of Kerala Using ARIMA with Exogenous Predictors. Journal of Scientific Research and Reports 2025;31:75-83 https://doi.org/10.9734/jsrr/2025/v31i113652.
- Arhin ET, Azumah K, Saeed BII, Nambyn CNN. Evaluating Climate-Rainfall-Temperature Interactions and their Effects on Water Resource Sustainability (SDG 6) using ARIMA and ARIMAX Models. Asian Journal of Probability and Statistics 2025;27:13-27 https://www.researchgate.net/publication/398690301_Evaluating_Climate-Rainfall-Temperature_Interactions_and_their_Effects_on_Water_Resource_Sustainability_SDG_6_using_ARIMA_and_ARIMAX_Models.
- Ling ASC, Darmesah G, Chong KP, Ho CM. Application of ARIMAX Model to Forecast Weekly Cocoa Black Pod Disease Incidence. Mathematics and Statistics 2019;7:29-40 https://doi.org/10.13189/ms.2019.070705.
- Chiu L, Rustia DJA, C, Lin T. Modelling and Forecasting of Greenhouse Whitefly Incidence Using Time-Series and ARIMAX Analysis. IFAC-PapersOnLine 2019;52:196-201. https://doi.org/10.1016/j.ifacol.2019.12.521.
- Goyal M, Agarwal S, Ghalawat S, Malik JS. ARIMA and ARIMAX Analysis on the Effect of Variability of Rainfall, Temperature on Wheat Yield in Haryana. Indian Journal of Extension Educatio 2024;60:95-9 https://doi.org/10.48165/IJEE.2024.60118
- Liu T, Lau AKH, Sandbrink K, Fung JCH. Time Series Forecasting of Air Quality Based On Regional Numerical Modeling in Hong Kong. Journal of Geophysical Research: Atmospheres 2018;123:4175-4196 https://doi.org/10.1002/2017JD028052.
- C LAS, G D, P CK, M HC. Application of ARIMAX Model to Forecast Weekly Cocoa Black Pod Disease Incidence. Mathematics and Statistics 2018; 7: 29-40 https://doi.org/10.13189/ms.2019.070705
- Wokanubun A, Ririhena RE, Wattimena AY. Potensi Dampak Perubahan Iklim terhadap Produksi Ubi Kayu (Manihot esculenta Crantz) dan Pendapatan Petani di Desa Wain, Kecamatan Kei Kecil Timur, Kabupaten Maluku Tenggara. Jurnal Budidaya Pertanian 2020;16: 1858-4322, doi: https://doi.org/10.30598/jbdp.2020.16.2.206.
- Malau LRE, Rambe KR, Ulya NA, Purba AG. Dampak Perubahan Iklim terhadap Produksi Tanaman Pangan di Indonesia. Jurnal Penelitian Pertanian Terapan 2023;13:34-46 https://doi.org/10.25181/jppt.v23i1.2418
- Ruminta A, Irwan AW, Nurmala T, Ramadayanti G. Analisis Dampak Perubahan Iklim terhadap Produksi Kedelai dan Pilihan Adaptasi Strateginya pada Lahan Tadah Hujan di Kabupaten Garut. Jurnal Kultivasi 2020;19:1089-97 https://doi.org/10.24198/kultivasi.v19i2.27998.
- Nur M, Manambangtua AP, Trivana L, Gosal LM, Pasang PM. Hubungan Curah Hujan dan Hari Hujan Terhadap Produksi Kelapa (Cocos nucifera) Dalam Mapanget (DMT) Pada Beberapa Sistem Jarak Tanam di KP. Mapanget Balit Palma. Jurnal Penelitian Pertanian Terapan 2024;24:85-95 http://dx.doi.org/10.25181/jppt.v24i1.3010.
- Aldrian E. Sistem Peringatan Dini Menghadapi Iklim Ekstrem. Jurnal Sumberdaya Lahan 2016;10:79-90 https://epublikasi.pertanian.go.id/berkala/index.php/jsl/article/view/3354.
- Pradana DAP, Mahanto F, Djunaidy A. Sistem Peramalan Menggunakan Autoregressive Integrated Moving Average with Exogenous Variables (ARIMAX) untuk Harga Minyak Sawit Indonesia. Jurnal Teknik ITS 2022;11:A97-A102 https://doi.org/10.12962/j23373539.v11i2.86373 https://garuda.kemdiktisaintek.go.id/documents/detail/3163876.
- rhat SA, Wani AA, Bhat T, Bashir B, Afzal S, Ali I, et al. Forecasting the Future of Food: An Integrated Review of Crop and Climate Simulation Models. International Journal of Environment and Climate Change, 2025;15:330-337 https://doi.org/10.9734/ijecc/2025/v15i115117.
- Ogallo LA, Boulahya MS, Keane T. Applications of seasonal to interannual climate prediction in agricultural planning and operations," Agricultural and Forest Meteorology 2000;103:159-166 https://doi.org/10.1016/S0168-1923(00)00109-X.
- Delfani P, Thuraga V, Banerjee B, Chawade A, "Integrative approaches in modern agriculture: IoT, ML and AI for disease forecasting amidst climate change," Precision Agriculture 2024;25:2589-613https://doi.org/10.1007/s11119-024-10164-7.
- Jisow AM. Assessing the Influence of Climate and Drought Early-Warning Information on Smallholder Farmers’ Decision-Making in Africa: A Systematic Review, Asian Journal of Research in Crop Science 2026;11:57-66 https://doi.org/10.9734/ajrcs/2026/v11i1405.