Quant Library · The athlete · Athletics
Carbohydrate Limit and the Wall
The fastest pace the carbohydrate on board can actually pay for.
Rapoport's arithmetic: the cost of the distance, the share of it that must come from carbohydrate at a given intensity, and what the legs, the liver and the feed zone can supply.
Inputs
3What it takes
| Name | Type | Units | Where it comes from |
|---|---|---|---|
| mass, VO2max | floats | kg, ml/kg/min | the athlete |
| leg muscle fraction, glycogen density optional | floats | fraction, mmol/kg | measurement or literature defaults |
| intake optional | float | g/hour | the plan |
Outputs
3What it gives back
| Name | Type | Units | Notes |
|---|---|---|---|
| limit intensity | float | fraction of VO2max | |
| predicted time | float | h:mm:ss | |
| need and supply curves | arrays | grams |
Method
How it works
- Cost the race at about 1 kcal per kg per km.
- 2 further steps in the licensed specification
Assumptions
- Steady pace, and gut tolerance for the intake you plan. Both are the athlete's problem more often than the model's.
Limits
- It gives a ceiling, not a prediction: plenty of runners slow for reasons that have nothing to do with glycogen.
In the package
- The full specification: inputs, method, assumptions and limits
- The validation panel as measured on the day of purchase
- A reference implementation extracted from the running source
- Perpetual commercial use for one entity
Reference modules:
- 1 module(s), named in the licensed specification and shipped in the package
Read this before you buy. The platform's own walk-forward tests say the closing line forecasts football better than these models do. What they give you is a coherent price for every market and match, before the market opens, with the band and the working attached. Any model here that has been beaten by something simpler says so in its limits, and the validation panel above is generated from the platform's result files rather than typed in.