“…In previous studies investigating recovery after running a marathon, maximal velocity (Vmax) or time to exhaustion during a treadmill running test have been used as performance variables (Armstrong et al, 2015;Hottenrott et al, 2016;Takayama et al, 2016aTakayama et al, , 2017aTakayama et al, , 2017bZouhal et al, 2006) based on the signiˆcant correlation between marathon race time and these two measures (Noakes et al, 1990). Physiological variables having a signiˆcant correlation with marathon race time, such as maximal oxygen uptake ( _VO 2 max), anaerobic threshold (AT), and running economy (RE), have also been used as performance variables (Hottenrott et al, 2016;Kyr äol äainen et al, 2000;Takayama et al, 2016aTakayama et al, , 2017aTakayama et al, , 2017bZouhal et al, 2006).…”