How do you predict your marathon time?

Convert a recent half marathon with a power-law model, sanity-check it against your weekly volume and long runs, then subtract some optimism.

The single most informative input is a recent half marathon, because it is long enough to test the same aerobic and durability qualities the marathon does. A power-law conversion — Riegel with an exponent around 1.08 for marathon predictions — turns that into a marathon estimate in one step.

A 10 km will do at a push, and a 5 km is nearly useless on its own. The shorter the input race, the more the prediction extrapolates and the more it flatters you: the marathon's limiters are fuelling, glycogen and the ability to hold form on tired legs, and a 5 km measures none of them.

The second check is training, not arithmetic. A prediction that implies a marathon pace you have never sustained for more than 10 km in training, on weekly volume that does not support the distance, is a number rather than a plan. If your long runs have not comfortably reached 2 to 2.5 hours, the prediction is describing a runner you are not yet.

The third adjustment is the course and the day. Elevation, heat and field congestion all cost time, and this site's course pages compute the grade-adjusted split table for your specific race so the prediction lands on the course you are actually running rather than an idealised flat one.

Key numbers

Best inputrecent half marathon
Exponent used~1.08for marathon predictions
Sanity checklong runs of 2–2.5 h

Work it out for yourself

Race time predictor — Predict your marathon and see how each physiological factor moves the estimate.

Frequently asked questions

Can I predict a marathon from a 5 km?

You can compute a number, but it will usually be optimistic by a wide margin. The 5 km tests aerobic power; the marathon tests fuelling, durability and pacing. Use a half marathon where you possibly can.

Why did I run so much slower than my predicted marathon time?

The usual suspects, in order: insufficient weekly volume to support the predicted pace, going out too fast, under-fuelling, and racing a hillier or hotter course than the prediction assumed. All four are addressable, and all four are decided before the start line.

Sources

  • Riegel (1981). Athletic records and human endurance. American Scientist.
  • Vickers & Vertosick (2016). An empirical study of race times in recreational endurance runners. BMC Sports Science, Medicine and Rehabilitation.

Related explainers

Glossary: Riegel Model, Joyner Model