I find the notion of being able to reliably calculate an equivalent distance very useful for all my walk planning, whether the walk is in the bush or around the suburbs where I live. The reason that it works in both places is relatively simple - lifting any object takes an effort to overcome gravity, and lowering it takes effort to slow it down. There might be other issues associated with the track surface, but as a rule of thumb, Naismith or the several other variants it spawned, can be used anywhere.
I felt this comment by
@tjz deserved a comment.
For planning I use the "
Brierley formula" of add 1km for every 200m of elevation gain.
What
Brierley does is to calculate an equivalent distance for stages based on Naismith's Rule. In making this calculation, he has had to translate from extra time - the Naismith Rule, to extra distance, which is sometimes referred to as Scarf's Equivalence. My issue with
Brierley's approach is that he has used almost the slowest walking speed imaginable. This has the effect of reducing the magnitude of the adjustment, and at the 3 km/hr that he uses, we get much smaller increases in equivalent distance than if a higher walking speed was used in the calculation.
How much difference does this make.
Walking Speed | Equivalent distance of 100 m of ascent |
3 km/hr | 500 m |
4 km/hr | 667 m |
5 km/hr | 833 m |
6 km/hr | 1000 m |
I tend to simplify any calculation as much as possible - it is, after all, a rule of thumb - and use a 'Naismith number' of 8, ie each unit of climb is equivalent to eight units of horizontal distance.
@tjz is using a Naismith number of 5 for his calculations, and anyone wanting to use this approach needs to decide on a number they want to use that reflects, amongst other things, their own walking speed. For example, at 4 mph,
@trecile would have a Naismith number of over 11. We are all going to be different. Choosing to use a number that makes the arithmetic easy is probably more important here than being absolutely precise.