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Forecasting with Temporal Hierarchies

Author

Listed:
  • Athanasopoulos, George
  • Hyndman, Rob J.
  • Kourentzes, Nikolaos
  • Petropoulos, Fotios

Abstract

This paper introduces the concept of Temporal Hierarchies for time series forecasting. A temporal hierarchy can be constructed for any time series by means of non-overlapping temporal aggregation. Predictions constructed at all aggregation levels are combined with the proposed framework to result in temporally reconciled, accurate and robust forecasts. The implied combination mitigates modelling uncertainty, while the reconciled nature of the forecasts results in a unified prediction that supports aligned decisions at different planning horizons: from short-term operational up to long-term strategic planning. The proposed methodology is independent of forecasting models. It can embed high level managerial forecasts that incorporate complex and unstructured information with lower level statistical forecasts. Our results show that forecasting with temporal hierarchies increases accuracy over conventional forecasting, particularly under increased modelling uncertainty. We discuss organisational implications of the temporally reconciled forecasts using a case study of Accident & Emergency departments.

Suggested Citation

  • Athanasopoulos, George & Hyndman, Rob J. & Kourentzes, Nikolaos & Petropoulos, Fotios, 2015. "Forecasting with Temporal Hierarchies," MPRA Paper 66362, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:66362
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    1. repec:eee:insuma:v:75:y:2017:i:c:p:166-179 is not listed on IDEAS
    2. Shanika L Wickramasuriya & George Athanasopoulos & Rob J Hyndman, 2015. "Forecasting hierarchical and grouped time series through trace minimization," Monash Econometrics and Business Statistics Working Papers 15/15, Monash University, Department of Econometrics and Business Statistics.
    3. Shanika L. Wickramasuriya & George Athanasopoulos & Rob J. Hyndman, 2017. "Optimal forecast reconciliation for hierarchical and grouped time series through trace minimization," Monash Econometrics and Business Statistics Working Papers 22/17, Monash University, Department of Econometrics and Business Statistics.

    More about this item

    Keywords

    Hierarchical forecasting; temporal aggregation; reconciliation; forecast combination;

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods

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