Port logistics prediction with ARMA modeling: evidence of container flow in southern Ecuador

Authors

DOI:

https://doi.org/10.62451/rep.v3i3.133

Keywords:

Logistics planning, container flow, ARMA model, time series, port operations

Abstract

ABSTRACT

The increasing operational complexity of ports and the volatility of container traffic have revealed structural limitations in logistics planning processes, particularly in Latin America. In this context, the present study proposes the application of an ARMA model to anticipate the weekly flow of import containers at a port in southern Ecuador, with the objective of strengthening operational response capacity through empirically validated estimates. The research followed a quantitative approach, with a non-experimental, cross-sectional design. Daily administrative records of port operations from January 2022 to May 2025 were used and aggregated into weekly frequency to reduce variability and capture more stable logistics patterns. The resulting weekly series, consisting of 174 observations, was subjected to stationarity tests and subsequently modeled under an ARMA (2,3) scheme, selected based on correlogram analysis and information criteria. The results indicate high dispersion in weekly container volumes, with a mean of 63.38 containers and notable asymmetries. The estimated model yielded statistically significant coefficients, with stationary, homoskedastic, and non-autocorrelated residuals, as well as a robust structure free from influential observations. The in-sample comparison revealed a strong alignment between observed and predicted values, validating the ARMA (2,3) model as a useful tool for port logistics planning in highly variable operational contexts.

References

Ahmad, R. W., Hasan, H., Jayaraman, R., Salah, K., & Omar, M. (2021). Blockchain applications and architectures for port operations and logistics management. Research in Transportation Business & Management, 41. https://doi.org/10.1016/j.rtbm.2021.100620

Alkheder, S., Naif, D., Musaed, D., Al Shrekah, S., Al Rshaid, M., Al. Anzi, N., & Baqer, I. (2022). Maritime transport management in Kuwait toward an automated port logistical city. Cleaner Logistics and Supply Chain, 3(100031). https://doi.org/10.1016/j.clscn.2022.100031

Apolinario, R., Rodríguez, M., Segarra, H., & Caicedo, M. (2025). La gestión de la logística y el transporte internacional en el Ecuador: estrategias, retos y oportunidades en un mundo globalizado. Liveworkingeditorial.

Bayer, F., Pumi, G., Liberal, T., & Souza, T. (2023). Inflated beta autoregressive moving average models. Computational and Applied Mathematics, 42(183), 1-24. https://doi.org/10.1007/s40314-023-02322-w

Bazán, C., Morales, Y., González, C., & Álvarez, V. (2022). La función de producción Cobb-Douglas: Caso del sector C23 de fabricación de productos minerales no metálicos. Observatorio Empresarial, 2(3), 79-107. https://doi.org/10.56216/radee012022jun.a06

Cedillo-Chalaco, L., López-Vera, J., Jumbo, K., & Tabares, C. (2025). Relación entre inversión logística y comercio en Ecuador: un análisis econométrico de cointegración. INNOVA Research Journal, 10(2), 67-80. https://doi.org/10.33890/innova.v10.n2.2025.2757

Cook, D. (2025). Cook’s Distance. En, M. Lovric, International Encyclopedia of Statistical Science. (pp. 538-540). Springer.

Feo, M., Botella, A., Martínez, J., Pallardó, V., Requena, F., & Sala, R. (2024). Exploring supply chain and regional resilience through the analysis of the transport dimension. Case Studies on Transport Policy, 16. https://doi.org/10.1016/j.cstp.2024.101216

Habte, Z. (2022). The role of logistics performance in international trade: a developing country perspective. World Review of Intermodal Transportation Research, 11(1), 53-69. https://doi.org/10.1504/WRITR.2022.123100

Huseynli, N. (2022). Effect of Renewable Energy and Traditional Energy Production on Economic Growth: The Case of Turkey and Azerbaijan. International Journal of Energy Economics and Policy, 12(3), 267-261. https://doi.org/10.32479/ijeep.12943

Karimi, N., Javanmardi, E., Nadaffard, A., & Facchini, F. (Abril de 2025). Systematic analysis and optimization of operational delay factors in port supply chains using a hybrid DEMATEL-OPA-DGRA approach. 263(107620), 1-16. https://doi.org/10.1016/j.ocecoaman.2025.107620

Kenyon, G., Goldsmith, M., Neureuther, B., & Zhou, D. (2018). Improving the return on investment in ports: opportunities in data management. Maritime Economics & Logistics, 20, 514-530. https://link.springer.com/article/10.1057/s41278-017-0078-4

Kumari, R., Mani Tripathi, Y., Wang, L., & Kumar Sinha, R. (2024). Reliability estimation for Kumaraswamy distribution under block progressive type-II censoring. A Journal of Theoretical and Applied Statistics, 58, 142-175. https://doi.org/10.1080/02331888.2024.2301736

Lee, T. (2022). Wild bootstrap Ljung–Box test for residuals of ARMA models robust to variance change. Journal of the Korean Statistical Society, 51, 1005-1020. https://doi.org/10.1007/s42952-022-00172-6

Moon, J., Hossain, M. B., & Chon, K. H. (2021). AR and ARMA model order selection for time-series modeling with ImageNet classification. Signal Processing, 183(108026), 1-11. https://doi.org/10.1016/j.sigpro.2021.108026

Moscoso, J., Urda, D., Ruiz, J., González, E., & Turias, I. (10 de Septiembre de 2021). A machine learning-based forecasting system of perishable cargo flow in maritime transport. Neurocomputing, 452, 487-497. https://doi.org/10.1016/j.neucom.2019.10.121

Neagoe, M., Hvolby, H., & Turner, P. (2021). Why are we still queuing? Exploring landside congestion factors in Australian bulk cargo port terminals. Maritime Transport Research, 2, 1-14. https://doi.org/10.1016/j.martra.2021.100036

Özispa, N., Açık, A., & Baran, E. (2024). 2030 outlook for global cargo: ARIMA predictions for maritime trade. RESP, 3(2), 104-116. https://respjournal.com/index.php/pub/article/view/48/31

Paparoditis, E., & Politis, D. (2018). The asymptotic size and power of the augmented Dickey–Fuller test for a unit root. Econometric Reviews, 37(9), 955-973. https://doi.org/10.1080/00927872.2016.1178887

Tang, S., Jin, J. G., & Lu, C. (2022). Investigation of berth allocation problem in container ports considering the variety of disruption. Computers & Industrial Engineering, 172(108564). https://doi.org/10.1016/j.cie.2022.108564

Vadahni, B., Veysmoradi, D., Basir Abyaneh, M., & Rashedi, M. (2024). Robust integrated multi-mode scheduling of flexible loading and unloading operations with maintenance services in a port container terminal. Ocean and Coastal Management, 259(107481), 1-18. https://doi.org/10.1016/j.ocecoaman.2024.107481

Wang, P., Hu, Q., Xu, Y., Mei, Q., & Wang, F. (2021). Evaluation methods of port dominance: A critical review. Ocean & Coastal Management, 215(105954), 1-11. https://doi.org/10.1016/j.ocecoaman.2021.105954

Xu, B., Liu, W., Li, J., Yang, Y., Wen, F., & Song, H. (2023). Resilience measurement and dynamic optimization of container logistics supply chain under adverse events. Computers & Industrial Engineering, 180(109202), 1-19. https://doi.org/10.1016/j.cie.2023.109202

Yang, Z., Wan, C., Yang, Z., & Yu, Q. (2021). Using Bayesian network-based TOPSIS to aid dynamic port state control detention risk control decision. Reliability Engineering & System Safety, 213(107784). https://doi.org/10.1016/j.ress.2021.107784

Yen, B. T., & Mulley, C. (2023). Introduction to the themed volume on transport efficiency. Research in Transportation Business & Management, 46, 1-4. https://doi.org/10.1016/j.rtbm.2023.100949

Yin, J., Khan, R. U., Wang, X., & Asad, M. (2024). A data-centered multi-factor seaport disruption risk assessment using Bayesian networks. Ocean Engineering, 308, 411-421. https://doi.org/10.1016/j.oceaneng.2024.118338

Yu, M., Liang, Z., Teng, Y., Zhang, Z., & Cong, X. (2021). The inbound container space allocation in the automated container terminals. Expert Systems with Applications, 179(115014). https://doi.org/10.1016/j.eswa.2021.115014

Zeng, M., Liu, R., Gao, M., & Jiang, Y. (2022). Demand Forecasting for Rural E-Commerce Logistics: A Gray Prediction Model Based on Weakening Buffer Operator. Journal of Advanced Transportation, (3395757), 1-8. https://onlinelibrary.wiley.com/doi/10.1155/2022/3395757

Published

2025-09-04

How to Cite

Cedillo-Chalaco, L., & Hernández-Díaz, P. (2025). Port logistics prediction with ARMA modeling: evidence of container flow in southern Ecuador. Revista Científica Episteme & Praxis, 3(3), 126–135. https://doi.org/10.62451/rep.v3i3.133