As there are a lot of threads here about supershoes (carbon plate shoes), i could not resist to calculate how much they improve running performance. I was a little bit surprised ....
Based on paper A ‚Relation of speed of a mile run, maximum energy cost of running, and maximum oxygen consumption: a field study‘, Sunil Kumar Das at al, 1995 there is a linear correlation between VO2 and running speed:
Eq 1) VO2 = 3.294 * speed + 3.9 (Speed in [km/h], VO2 in [ml/kg/min])
Based on paper B ‚A Comparison of Running Economy Across Seven Carbon-Plated Racing Shoes Racing Shoes‘, Dustin P. Joubert at al, 2021, the supershoes have around 1.5 ml/kg/min less oxygen consumption as non-plated shoes at a running speed of 16 km/h (Fig.2).
At 16km/h running speed (running economy paper B) VO2 can be calculated with 16 km/h * 3.294 + 3.9 = 56,6 ml/kg/min. As this is a linear equation with the form y = k*x +d, we can now calculate a new k SS (k supershoe) which is (56.6-1.5-3.9)/16= 3.2. This is around 3% difference!
So a 2h10 marathon runner, without carbon plate shoes, turns into a 2h06 marathon runner with carbon plate shoes !
Sources A and B:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1332240/?page=1