IDEAS home Printed from https://ideas.repec.org/a/gam/jforec/v7y2025i4p56-d1766377.html

Prediction of 3D Airspace Occupancy Using Machine Learning

Author

Listed:
  • Cristian Lozano Tafur

    (Department of Engineering, Fundación Universitaria Los Libertadores, Bogotá 111221440, Colombia
    Escuela de Aviación del Ejército, Bogotá 110911, Colombia)

  • Jaime Orduy Rodríguez

    (Department of Engineering, Fundación Universitaria Los Libertadores, Bogotá 111221440, Colombia
    Escuela de Aviación del Ejército, Bogotá 110911, Colombia)

  • Pedro Melo Daza

    (Department of Engineering, Fundación Universitaria Los Libertadores, Bogotá 111221440, Colombia)

  • Iván Rodríguez Barón

    (Department of Engineering, Fundación Universitaria Los Libertadores, Bogotá 111221440, Colombia)

  • Danny Stevens Traslaviña

    (Department of Engineering, Fundación Universitaria Los Libertadores, Bogotá 111221440, Colombia)

  • Juan Andrés Bermúdez

    (Escuela de Aviación del Ejército, Bogotá 110911, Colombia)

Abstract

This research introduces a system designed to predict three-dimensional airspace occupancy over Colombia using historical Automatic Dependent Surveillance-Broadcast (ADS-B) data and machine learning techniques. The goal is to support proactive air traffic management by estimating future aircraft positions—specifically their latitude, longitude, and flight level. To achieve this, four predictive models were developed and tested: K-Nearest Neighbors (KNN), Random Forest, Extreme Gradient Boosting (XGBoost), and Long Short-Term Memory (LSTM). Among them, the LSTM model delivered the most accurate results, with a Mean Absolute Error (MAE) of 312.59, a Root Mean Squared Error (RMSE) of 1187.43, and a coefficient of determination (R 2 ) of 0.7523. Compared to the baseline models (KNN, Random Forest, XGBoost), these values represent an improvement of approximately 91% in MAE, 83% in RMSE, and an eighteen-fold increase in R 2 , demonstrating the substantial advantage of the LSTM approach. These metrics indicate a significant improvement over the other models, particularly in capturing temporal patterns and adjusting to evolving traffic conditions. The strength of the LSTM approach lies in its ability to model sequential data and adapt to dynamic environments—making it especially suitable for supporting future Trajectory-Based Operations (TBO). The results confirm that predicting airspace occupancy in three dimensions using historical data are not only possible but can yield reliable and actionable insights. Looking ahead, the integration of hybrid neural network architectures and their deployment in real-time systems offer promising directions to enhance both accuracy and operational value.

Suggested Citation

  • Cristian Lozano Tafur & Jaime Orduy Rodríguez & Pedro Melo Daza & Iván Rodríguez Barón & Danny Stevens Traslaviña & Juan Andrés Bermúdez, 2025. "Prediction of 3D Airspace Occupancy Using Machine Learning," Forecasting, MDPI, vol. 7(4), pages 1-39, October.
  • Handle: RePEc:gam:jforec:v:7:y:2025:i:4:p:56-:d:1766377
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2571-9394/7/4/56/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2571-9394/7/4/56/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Baoyong Yan & Xiantao Zhang & Chengxu Tang & Xiao Wang & Yifei Yang & Weihua Xu, 2023. "A Random Forest-Based Method for Predicting Borehole Trajectories," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    2. Wilkinson, Leland & Friendly, Michael, 2009. "The History of the Cluster Heat Map," The American Statistician, American Statistical Association, vol. 63(2), pages 179-184.
    3. Heidi Seibold & Torsten Hothorn & Achim Zeileis, 2019. "Generalised linear model trees with global additive effects," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 13(3), pages 703-725, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Miriam Aparicio, 2021. "Resiliency and Cooperation or Regarding Social and Collective Competencies for University Achievement. An Analysis from a Systemic Perspective," European Journal of Social Sciences Education and Research Articles, Revistia Research and Publishing, vol. 8, ejser_v8_.
    2. Fabio Salamanca-Buentello & Mary V Seeman & Abdallah S Daar & Ross E G Upshur, 2020. "The ethical, social, and cultural dimensions of screening for mental health in children and adolescents of the developing world," PLOS ONE, Public Library of Science, vol. 15(8), pages 1-25, August.
    3. Nicodemo, Catia & Satorra, Albert, 2020. "Exploratory Data Analysis on Large Data Sets: The Example of Salary Variation in Spanish Social Security Data," IZA Discussion Papers 13459, IZA Network @ LISER.
    4. Wittek, Peter, 2013. "Two-way incremental seriation in the temporal domain with three-dimensional visualization: Making sense of evolving high-dimensional datasets," Computational Statistics & Data Analysis, Elsevier, vol. 66(C), pages 193-201.
    5. Thoa Thieu & Roderick Melnik, 2025. "Modelling the Behavior of Human Crowds as Coupled Active-passive Dynamics of Interacting Particle Systems," Methodology and Computing in Applied Probability, Springer, vol. 27(1), pages 1-22, March.
    6. Lorentz, Harri & Kumar, Mukesh & Srai, Jagjit Singh, 2018. "Managing distance in international purchasing and supply: a systematic review of literature from the resource-based view perspective," International Business Review, Elsevier, vol. 27(2), pages 339-354.
    7. Yang, Kaisen & Yang, Dong & Lu, Yuxu, 2025. "Enhancing risk perception by integrating ship interactions in multi-ship encounters: A Graph-based Learning method," Reliability Engineering and System Safety, Elsevier, vol. 261(C).
    8. Xinhao Luo & Chen Liang & Yongyou Hu, 2019. "Comparison of Different Enhanced Coagulation Methods for Azo Dye Removal from Wastewater," Sustainability, MDPI, vol. 11(17), pages 1-14, August.
    9. Romildo Brito Neto & Celso Santos & Kevin Mulligan & Lucia Barbato, 2016. "Spatial and temporal water-level variations in the Texas portion of the Ogallala Aquifer," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(1), pages 351-365, January.
    10. Shah Jahan Miah & Huy Quan Vu & Damminda Alahakoon, 2022. "A social media analytics perspective for human‐oriented smart city planning and management," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 73(1), pages 119-135, January.
    11. Francesco Pasanisi & Gaia Righini & Massimo D’Isidoro & Lina Vitali & Gino Briganti & Sergio Grauso & Lorenzo Moretti & Carlo Tebano & Gabriele Zanini & Mabafokeng Mahahabisa & Mosuoe Letuma & Muso Ra, 2021. "A Cooperation Project in Lesotho: Renewable Energy Potential Maps Embedded in a WebGIS Tool," Sustainability, MDPI, vol. 13(18), pages 1-26, September.
    12. Diaz-Balteiro, L. & Alfranca, O. & Voces, R. & Soliño, M., 2023. "Using google search patterns to explain the demand for wild edible mushrooms," Forest Policy and Economics, Elsevier, vol. 152(C).
    13. Terrill L. Frantz, 2018. "Blockmap: an interactive visualization tool for big-data networks," Computational and Mathematical Organization Theory, Springer, vol. 24(2), pages 149-168, June.
    14. Yan Wang & Peng Jia & Luping Liu & Cheng Huang & Zhonglin Liu, 2020. "A systematic review of fuzzing based on machine learning techniques," PLOS ONE, Public Library of Science, vol. 15(8), pages 1-37, August.
    15. Magdalena Jastrzębska & Urszula Wachowska & Marta K. Kostrzewska, 2020. "Pathogenic and Non-Pathogenic Fungal Communities in Wheat Grain as Influenced by Recycled Phosphorus Fertilizers: A Case Study," Agriculture, MDPI, vol. 10(6), pages 1-15, June.
    16. Janik Dawid, 2024. "Optimization of License Management for Business Process Automation with Robotic Process Automation," International Journal of Contemporary Management, Sciendo, vol. 60(1), pages 280-289.
    17. Chengcheng Huang & Guoqiang Wang & Xiaogu Zheng & Jingshan Yu & Xinyi Xu, 2015. "Simple Linear Modeling Approach for Linking Hydrological Model Parameters to the Physical Features of a River Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3265-3289, July.
    18. Francesca Conte & Pierluigi Vitale & Agostino Vollero & Alfonso Siano, 2018. "Designing a Data Visualization Dashboard for Managing the Sustainability Communication of Healthcare Organizations on Facebook," Sustainability, MDPI, vol. 10(12), pages 1-14, November.
    19. Carole Bernard & Jinghui Chen & Ludger Rüschendorf & Steven Vanduffel, 2026. "Improved block rearrangement algorithm," Annals of Operations Research, Springer, vol. 357(1), pages 605-632, February.
    20. Wang, Miaomiao & Wang, Yanfu & Ding, Jie & Yu, Weizhe, 2024. "Interaction aware and multi-modal distribution for ship trajectory prediction with spatio-temporal crisscross hybrid network," Reliability Engineering and System Safety, Elsevier, vol. 252(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jforec:v:7:y:2025:i:4:p:56-:d:1766377. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.