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Time series and forecasting · insight-1233

Let a damped trend compete with a linear trend whenever automatic forecasts run beyond a few periods

Evidence type
documented fact
Difficulty
easy
Roles
Data scientist, Data analyst
Industries
retail, aviation, cross-industry

Summary: situation, action, reason, boundary

  1. Situation

    A monthly forecast for 1,000 route-level series is produced automatically, and a linear-trend Holt model projects 24 months of continued growth on routes that recently grew.

  2. Action

    Include damped-trend variants among the candidates, estimate the damping parameter with the other parameters, check that it is not pinned at a boundary, and compare candidates at the longest horizon over rolling origins.

  3. Reason

    FPP3 notes that Holt's linear method tends to over-forecast at long horizons and that damped methods have been very successful, being arguably the most popular single methods for automatic forecasting of many series.

  4. Boundary

    Large collections of series with moderate trends where nobody inspects each fit.

Symptom or risk

A constant trend runs on indefinitely, so long-horizon forecasts for routes whose growth is slowing are systematically too high.

Exceptions

Series with structurally constant growth, such as a scheduled build-out, may favour an undamped trend.

Trade-offs

Damping can under-forecast growth that really does continue.

Pitfalls

Fixing the damping value by hand to make the flattening visible, or accepting a value so close to one that it is indistinguishable from no damping.

Lessons and concepts

Claims and their sources

  • FPP3 reports that Holt's linear trend method tends to over-forecast, especially at longer horizons, and that damped trend methods have proved very successful, arguably the most popular individual methods for automatic forecasting across many series.

    Forecasting: Principles and Practice (3rd edition)