International  Journal  of
Environmental Research
and Public Health
Article
Maximal Time Spent at VO2max from Sprint to
the Marathon
Claire A. Molinari 1,2, Johnathan Edwards 3 and Véronique Billat 1,*
1
Unité de Biologie Intégrative des Adaptations à l’Exercice, Université Paris-Saclay, Univ Evry,
91000 Evry-Courcouronnes, France; contact@billatraining.com
2
BillaTraining SAS, 32 rue Paul Vaillant-Couturier, 94140 Alforville, France
3
Faculté des Sciences de la Motricité, Unité d’enseignement en Physiologie et Biomécanique du Mouvement,
1070 Bruxelles, Belgium; jjedwards505@gmail.com
*
Correspondence: veroniquelouisebillat@gmail.com; Tel.: +33-(0)-786117308
Received: 6 November 2020; Accepted: 8 December 2020; Published: 10 December 2020


Abstract: Until recently, it was thought that maximal oxygen uptake (VO2max) was elicited only in
middle-distance events and not the sprint or marathon distances. We tested the hypothesis that
VO2max can be elicited in both the sprint and marathon distances and that the fraction of time spent
at VO2max is not signiﬁcantly diﬀerent between distances. Methods: Seventy-eight well-trained
males (mean [SD] age: 32 [13]; weight: 73 [9] kg; height: 1.80 [0.8] m) performed the University of
Montreal Track Test using a portable respiratory gas sampling system to measure a baseline VO2max.
Each participant ran one or two diﬀerent distances (100 m, 200 m, 800 m, 1500 m, 3000 m, 10 km or
marathon) in which they are specialists. Results: VO2max was elicited and sustained in all distances
tested. The time limit (Tlim) at VO2max on a relative scale of the total time (Tlim at VO2max%Ttot)
during the sprint, middle-distance, and 1500 m was not signiﬁcantly diﬀerent (p > 0.05). The relevant
time spent at VO2max was only a factor for performance in the 3000 m group, where the Tlim at
VO2max%Ttot was the highest (51.4 [18.3], r = 0.86, p = 0.003). Conclusions: By focusing on the
solicitation of VO2max, we demonstrated that the maintenance of VO2max is possible in the sprint,
middle, and marathon distances.
Keywords: VO2max; performance; running
1. Introduction
Classically, the solicitation of the maximal uptake of oxygen (VO2max) was thought only to be
possible in the middle-distance (1500 m) events, and not the sprint or the marathon distances [1].
(1) Power output may be high (greater than critical speed), but insuﬃcient to elicit VO2max (i.e.,
the average marathon speed). (2) Power may be very high or maximal, and suﬃcient to drive VO2 to its
maximum before exhaustion (i.e., middle-distance events). (3) Power may be extremely high, such that
the subject becomes exhausted before suﬃcient time has elapsed for VO2 to reach its maximum (i.e.,
sprint events) [2].
This classiﬁcation is the basis of the century-old constant-speed paradigm applied in laboratories
since the discovery of VO2max by AV Hill in 1923 [3]. Today, innovative technologies such as the
portable breath-by-breath gas exchange systems allows researchers to investigate the solicitation of
VO2max during 100 and 200 m sprints in elite runners. By assessing the fundamental physiology, it has
been shown that the change in tissue oxygen uptake is directly proportional to changes in creatine (Cr)
content [4]. This close reciprocal relationship between pulmonary VO2 and phosphocreatine (Pcr) has
been demonstrated at the systemic level during high-intensity constant power output exercises [5].
Hence, there is a close relationship between oxygen uptake kinetics and changes in Cr/Pcr ratios.
Int. J. Environ. Res. Public Health 2020, 17, 9250; doi:10.3390/ijerph17249250
www.mdpi.com/journal/ijerph
Int. J. Environ. Res. Public Health 2020, 17, 9250
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The rapid depletion of creatine phosphate during a sprint may be a signal for a rapid increase in
VO2 and possibly until VO2max. Therefore, our ﬁrst hypothesis is that VO2max can be reached during
a sprint, but also that the relative time spent at VO2max may be of the same order during middle
distances, and possibly a discriminant factor of performance.
The marathon is the longest Olympic endurance distance. Previous research has estimated that
the marathon only elicits a fractional utilization of VO2max [6]. However, technological advances now
allow breath-by-breath VO2 measurements during an entire marathon. In the past, it was only possible
to measure VO2 over 1 or 2 km using Douglas bags from the back of a moving vehicle, as performed
by Michael Maron. These pioneering experiments highlighted marathon training and performance,
as he showed that VO2max was reached during the marathon and our research conﬁrms his results.
Indeed, the paradigm of constant (constant vs average) velocity still endures today as determined by
the ratio of energy output and the cost of running [6]; this all comes from the treadmill experiments of
constant speed physiology. It is generally thought that VO2max is not elicited in the marathon and that
it must be run below maximal aerobic speed (vVO2max) in order to maintain a sub lactate threshold
VO2 steady state [7,8]. One obvious consequence of the slow component response is that it creates a
range of velocities, all which elicit VO2max, provided the exercise is continued to exhaustion. VO2max
can be elicited during constant power exercise, over a range of intensities that may be higher or lower
than the minimum value for which it occurs during incremental exercise [9]. Maron’s pioneering
research reported that VO2max could be elicited during a marathon; however, we did not have portable
gas exchange measurements to conﬁrm this remarkable result [10]. Today, portable breath-by-breath
gas exchange analyzers have minimal measurement delays and can be easily worn in competition.
The plateau in VO2 at the end of an incremental exercise test is used as an important criterion to
validate that VO2max has been achieved [6]; however, the duration that subjects can sustain that plateau
has largely been ignored. The time limit at PVO2max (Tlim@PVO2max), while reproducible, has been
reported to be highly variable between subjects (3–8 min) [11]; it is negatively correlated with PVO2max
and VO2max but positively correlated with the maximal oxygen deﬁcit, which is an index of the ability
to generate energy from anaerobic metabolism (i.e., anaerobic capacity) [12,13]. Hence, while debates
continue around the central versus peripheral limiting factors of VO2max [14,15], the limiting factors of
VO2max and of the ability to sustain VO2max remain to be investigated independently of PVO2max [13].
It was shown that VO2max can be sustained for a longer duration when exercise is controlled by
the maintenance of VO2max, and that the limiting cardiovascular factors of endurance at VO2max are
unrelated to its value.
The examination of the time limit at VO2max in diﬀerent running events is a more ecological
approach to the time to plateau at VO2max as it relates to the total time run from sprint to the marathon.
Real-world races are not run at constant speeds [16,17], and we wish to reverse the paradigm of power
around PVO2max or constant VO2 in order to examine the plateau at VO2max as a common performance
factor when expressed as a percentage of total race time. Indeed, the underlying idea is that the greater
the energy at VO2max (maximum oxidation rate), the more Adenosine Triphosphate resynthesized from
creatine and lactic acid contributes to sprint and marathon performances. Hence, the more relative
time run at VO2max, the better the performance, independent of the distance. The concept of relative
time to exhaustion at VO2max could be a central energy concept independent of whether the dominant
metabolism is aerobic or anaerobic. We hypothesize that this concept could lead to a new method of
high intensity interval training that uses very short sprints around the average marathon speed in
accordance with the target distance (from 100 to 42,195 m).
Therefore, our primary hypothesis is that VO2max can be sustained from the sprint to the marathon
and independent of the distance run, the time spent relative to exhaustion at VO2max, as expressed as a
percentage of the total performance time, is a discriminant factor for performance.
Int. J. Environ. Res. Public Health 2020, 17, 9250
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2. Materials and Methods
Seventy-eight well-trained male athletes (training 4 days per week) participated in the study
(mean ± standard deviation [SD] age: 32 [13]; weight: 73 [9] kg; height: 1.80 [0.8 m]. The participants’
preferred racing distances were as follows: 100 m (n = 13), 200 m (n = 13), 800 m (n = 8), 1500 m
(n = 16), 3000 m (n = 9), 10 km (n = 7), and the marathon (n = 12). All of the participants were
experienced in their respective full eﬀort race distances and VO2max tests (University of Montreal Track
Test, UMTT). All subjects gave their informed consent for inclusion before they participated in the
study. The study was conducted in accordance with the Declaration of Helsinki, and the protocol
was approved by an independent ethics committee (CPP Sud-Est V, Grenoble, France; reference:
2018-A01496-49). All participants were provided with study information and gave their written
consent before participation.
All participants performed the University of Montreal Track Test (UMTT), to determine individual
VO2max values. After 7 to 14 days, they ran one or two diﬀerent race simulation eﬀorts in which they are
specialists (100 m, 200 m, 800 m, 1500 m, 3000 m, 10 km or the marathon). A portable breath-by-breath
sampling system (K5 [18], COSMED Srl, Rome, Italy) that continuously measured respiratory gases
(oxygen uptake [VO2], ventilation [VE], and the respiratory exchange ratio) was worn in both the
UMTT and race eﬀorts. During the 7 to 14 day period between the UMTT and the running eﬀort,
the participants were instructed to continue their training activities as normal. A global positioning
system watch (Garmin, Olathe, KS, USA) was used to measure the heart rate and the speed responses
(5 s averaged data) of each eﬀort. In the UMTT, the rating of perceived exertion (RPE), on a scale from
6 (least exertion) to 20 (greatest exertion) [19], was recorded 15 s before the end of each stage [20].
2.1. Determination of Maximal Oxygen Uptake and Velocity Associated with VO2max—The UMTT
The UMTT was conducted on a 400 m track with cones placed every 20 m. Pre-recorded sound
beeps indicated when the subject needed to be near a cone to maintain the imposed speed. A longer
sound marked speed increments. The ﬁrst step was set to 8.5 km·h−1, with a subsequent increase
of 0.5 km·h−1 every minute. When the runner was unable to maintain the imposed pace and thus
failed to reach the cone in time for the beep on two consecutive occasions, the test was terminated.
The speed corresponding to the last completed step was recorded as the vVO2max (km·h−1). During
the UMTT, VO2max was conﬁrmed by a visible plateau in VO2 (≤2 mL·kg−1·min−1) with a standard
increase in exercise intensity, and any indicative secondary criteria (visible signs of exhaustion; HRmax
±10 beats·min−1) around the point of volitional exhaustion and an RPE of 19–20.
2.2. Determination of The Time Limit at VO2max (Tlim at VO2max)
Oxygen uptake is not a simple function of power output or velocity, for it is a function of time
as well. Even steady-state oxygen uptake is not a linear function of power output beyond a certain
level [2]. The slow component of oxygen uptake and increasing oxygen cost of exercise at higher
powers outputs complicates the issue [21]. The slow component has, however, been successfully
modeled, both theoretically [22] and empirically [23], and the energy cost of running can safely be
assumed to be constant (or very nearly so) provided the power or velocity range is narrow [2]. Perhaps,
then, these diﬃculties can be largely overcome by considering endurance at a ﬁxed value of oxygen
uptake, say at its maximum (VO2max) [2]. This time limit at VO2max depends on the duration of the
subject’s exhaustion time (time limit = Tlim) and the time to reach VO2max (TA VO2max), both of which
decrease with increasing exercise intensity (Tlim VO2max = Tlim − TA VO2max) [12]. Steady-state VO2
was deﬁned when the subject reached 95% of incremental VO2max [12] during an incremental test.
During each race eﬀort, the VO2max Tlim was therefore computed by calculating the diﬀerence between
the total running time (Tlim) and the time taken to reach 95% incremental VO2max (TA VO2max) [12].
Tlim at VO2max is also deﬁned as the time (seconds) spent at maximal oxygen consumption during
the completed distance. Knowing that VO2max was the maximal oxygen consumption during the
Int. J. Environ. Res. Public Health 2020, 17, 9250
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UMTT (mL·kg−1·min−1), we then processed the data to test the eﬀect of the Tlim VO2max on the relative
exercise duration for each distance. We normalized the duration of the run on a relative scale of total
time (%Ttot) by comparing the time to the distance. For each eﬀort, the Tlim at VO2max, (assuming that
VO2max was reached and maintained) is the Tlim at VO2max%Ttot and is determined to be the ratio
between Tlim at VO2max and total time of the eﬀort.
2.3. Calculation of the Intensity of Race in the Percentage of Vvo2max (Intensity of Exercise %Vvo2max)
We also calculated exercise intensity (average speed) as a percentage of vVO2max (km·h−1), since
it would appear that the factors limiting time spent at VO2max are diﬀerent depending on whether the
intensity is greater or less than vVO2max [13].
2.4. Statistical Analysis
All statistical analyses were performed using XLSTAT software (version 1 January 2019, Addinsoft,
Paris, France). For each variable, the normality and homogeneity of the data distribution were
examined using a Shapiro–Wilk test. A one-way analysis of variance (ANOVA) was applied to assess
the various race distances in terms of performance variables: International Association of Athletics
Federations (IAAF) score, running time (s), vVO2max (km·h−1), VO2max (mL·kg−1·min−1), and post-run
blood lactate level (mM). A one-way analysis of variance (ANOVA) was also used to assess the time at
VO2max and the intensity of exercise. Pearson’s coeﬃcient (r) was used to measure the correlations
between performances, Tlim at VO2max%Ttot, and intensity of exercise %vVO2max.
3. Results
The descriptive physiological responses in UMTT are summarized in Table 1. Sprinters and 800 m
runners have signiﬁcantly lower VO2max than the middle- and long-distance runners (3000 m and
10 km) (Table 1). There were signiﬁcant diﬀerences in VO2max between participants who ran the 800 m
and those who ran the sprints, 3000 m, and 10 km (p < 0.0001, p < 0.0001, and p = 0.0002, respectively).
VO2max was signiﬁcantly higher in the participants who ran the 10 km than in the sprinters and the
3000 m runners (p < 0.0001 and p < 0.0001, respectively).
Table 1. Descriptive physiological responses in UMTT.
Runners
n
vVO2max
(km·h−1)
VO2max
(mL·kg−1·min−1)
HRmax
(Beat·min−1)
RPE
Last Stage of UMTT
100 m
13
15.4 ± 1.6
53.1 ± 5.5
196.3 ± 4.5
19.5 ± 0.5
200 m
13
15.4 ± 1.6
53.1 ± 5.5
196.3 ± 4.5
19.5 ± 0.5
800 m
8
19.3 ± 0.7 ab
64.6 ± 3.4 ab
196.9 ± 6.4
19.7 ± 0.5
1500 m
16
17.8 ± 2.2 ab
59.0 ± 10.5
188.6 ± 12.6
19.8 ± 0.4
3000 m
9
16.2 ± 1.0 abc
51.1 ± 5.3 cd
181.9 ± 11.7 abc
19.9 ± 0.3
10,000 m
7
19.1 ± 1.8 abe
67.0 ± 6.5 abef
183.4 ± 11.2 abc
19.3 ± 0.5 de
42,195 m
12
17.0± 0.9 abc
55.4 ± 4.7 c
189.1 ± 8.2 abc
19.5 ± 0.5
Abbreviations: VO2max, maximal oxygen consumption; vVO2max, running speed associated with their maximal
level of oxygen consumption maximal aerobic velocity; HRmax, maximal heart rate and RPE, rating of perceived
exertion and UMTT, University of Montreal Track Test. Note: a indicates a signiﬁcant diﬀerence (p < 0.05) vs. 100 m,
b 200 m, c 800 m, d 1500 m, e 3000 m and f marathon. The data are quoted as the mean ± SD.
The 100, 200, and 800 m were run at much higher values than their vVO2max (209 ± 25, 206 ± 25,
and 116 ± 8% of vVO2max, respectively. p < 0.001). All other distances were run at or below vVO2max,
102, and 80% of vVO2max in the 1500 m and the marathon, respectively (Figure 1).
Due to the large diﬀerence in relative speed to vVO2max, Tlims at VO2max%Ttot during the sprint,
middle-distance, 800 m, and the 1500 m were not signiﬁcantly diﬀerent (Table 2). The highest Tlim
at VO2max%Ttot was measured in the 3000 m race, while the lowest was measured in the marathon
Int. J. Environ. Res. Public Health 2020, 17, 9250
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(Figure 2). The 3000 m runners spent their half of the time at VO2max (51 ± 18% of Ttot), while all of the
marathon runners all reached VO2max, but only for 5% of the time (Table 2).
Int. J. Environ. Res. Public Health 2020, 17, x 
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Figure 1. Exercise intensity (average speed) as a percentage of vVO2max at each race. 
Due to the large difference in relative speed to vVO2max, Tlims at VO2max%Ttot during the sprint, 
middle-distance, 800 m, and the 1500 m were not significantly different (Table 2). The highest Tlim 
at VO2max%Ttot was measured in the 3000 m race, while the lowest was measured in the marathon 
(Figure 2). The 3000 m runners spent their half of the time at VO2max (51 ± 18% of Ttot), while all of 
the marathon runners all reached VO2max, but only for 5% of the time (Table 2). 
Table 2. Performance (IAAF score and racing time), number of subjects having reached VO2max and 
Tlim at V̇O2max during the specific running distance 
Distance 
n 
IAAF 
Score 
Race Time 
(hh:min:sec) 
V̇O2max 
Reached 
(n, %) 
Tlim at 
V̇O2max (s) 
Tlim at 
V̇O2max%Ttot 
Post-Run 
Lactate 
(mmol∙L−1) 
100 m 
13 
799.0 ± 143.5 
11″ ± 0.5″ 
10 (76%) 
3 ± 2.1 
25.6 ± 18.5 
14.0 ± 2.8 
200 m 
13 
795.5 ± 135.5 
23″ ± 1″1 
11 (85%) 
6 ± 4.0 
28.5 ± 17.7 
14.9 ± 1.5 
800 m 
8 
563.0 ± 131.0 ab 
2′09″ ± 6″4 f 
8 (100%) 
28 ± 19.7 aef 
22.0 ± 15.8 
15.9 ± 1.7 
1500 m 
16 474.6 ± 191.8 ab 
4′40″ ± 24″7 acd 
15 (94%) 
129 ± 92.2 abe 
41.7 ± 28.6 
12.4 ± 1.8 bc 
3000 m 
9 
472.2 ± 218.8 ab 
10′07″ ± 1′9″ ab 
8 (89%) 
341 ± 103.3 abcd 
51.4 ± 18.3 abc 
11.7 ± 2.3 bc 
10,000 m 
7 
522.4 ± 242.5 ab 
36′22″ ± 4′19″ ab 
7 (100%) 
680 ± 590.6 abcd 
30.6 ± 27.2 f 
/ 
42,195 m 12 385.6 ± 190.7 ab 
3h7′17″ ± 18′41″ abcd 
10 (83%) 
479 ± 497.9 abc 
4.1 ± 4.0 abcde 
6.6 ± 2.1 abcde 
Abbreviations: IAAF, International Association of Athletics Federations; V̇O2max, maximal oxygen 
consumption; Tlim, Time limit; Ttot, Total race time. Note: a indicates a significant difference (p < 0.05) 
vs. 100 m, b 200 m, c 800 m, d 1500 m, e 3000 m and f marathon. The data are quoted as the mean ± SD. 
The relative time spent at VO2max was only a factor predicting performance in the groups for 
which the Tlim at VO2max%Ttot was the highest and the lowest, the 3000 m and the marathon, 
respectively. Indeed, the 3000 m race was the distance eliciting the highest Tlim at VO2max%Ttot (more 
than half of the effort) and the distance for which the Tlim at VO2max%Ttot was significantly correlated 
with the performance (r = 0.86, p = 0.003, Figure 2). 
0
50
100
150
200
250
42195
10000
3000
1500
800
200
100
percentage %
Distance (m)
intensity of exercise %vVO2max
VO2max
Figure 1. Exercise intensity (average speed) as a percentage of vVO2max at each race.
Table 2. Performance (IAAF score and racing time), number of subjects having reached VO2max and
Tlim at VO2max during the speciﬁc running distance.
Distance
n
IAAF
Score
Race Time
(hh:min:sec)
VO2max Reached
(n, %)
Tlim at VO2max
(s)
Tlim at
VO2max%Ttot
Post-Run Lactate
(mmol·L−1)
100 m
13
799.0 ± 143.5
11” ± 0.5”
10 (76%)
3 ± 2.1
25.6 ± 18.5
14.0 ± 2.8
200 m
13
795.5 ± 135.5
23” ± 1”1
11 (85%)
6 ± 4.0
28.5 ± 17.7
14.9 ± 1.5
800 m
8
563.0 ± 131.0 ab
2′09” ± 6”4 f
8 (100%)
28 ± 19.7 aef
22.0 ± 15.8
15.9 ± 1.7
1500 m
16
474.6 ± 191.8 ab
4′40” ± 24”7 acd
15 (94%)
129 ± 92.2 abe
41.7 ± 28.6
12.4 ± 1.8 bc
3000 m
9
472.2 ± 218.8 ab
10′07” ± 1′9” ab
8 (89%)
341 ± 103.3 abcd
51.4 ± 18.3 abc
11.7 ± 2.3 bc
10,000 m
7
522.4 ± 242.5 ab
36′22” ± 4′19” ab
7 (100%)
680 ± 590.6 abcd
30.6 ± 27.2 f
/
42,195 m
12
385.6 ± 190.7 ab
3h7′17” ± 18′41” abcd
10 (83%)
479 ± 497.9 abc
4.1 ± 4.0 abcde
6.6 ± 2.1 abcde
Abbreviations: IAAF, International Association of Athletics Federations; VO2max, maximal oxygen consumption;
Tlim, Time limit; Ttot, Total race time. Note: a indicates a signiﬁcant diﬀerence (p < 0.05) vs. 100 m, b 200 m, c 800 m,
d 1500 m, e 3000 m and f marathon. The data are quoted as the mean ± SD.
Int. J. Environ. Res. Public Health 2020, 17, x 
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Figure 2. Correlation between the Tlim VO2max on the relative exercise duration (Tlim at VO2max%Ttot) 
and the performance in the 3000 m race effort. 
Seventy-four percent of the 3000 m performance variance could be predicted by the relative time 
limit at VO2max (Tlim at VO2max%Ttot), higher than with vVO2max (69%). Furthermore, as highlighted 
above, even if the relative time spent at VO2max was low (5%) during the marathon, the fraction of 
vVO2max was a significant predictor of marathon performance (r² = 0.81). 
4. Discussion 
Classically, it was thought that neither the sprint nor the marathon elicited VO2max. Our results 
0
10
20
30
40
50
60
70
80
90
100
500
550
600
650
700
750
Tlim VO2max (s)% Tltot
Performance (s)
Tlim VO2max (s)% Tot
VO2max %Ttot 
Figure 2. Correlation between the Tlim VO2max on the relative exercise duration (Tlim at VO2max%Ttot)
and the performance in the 3000 m race eﬀort.
Int. J. Environ. Res. Public Health 2020, 17, 9250
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The relative time spent at VO2max was only a factor predicting performance in the groups for which
the Tlim at VO2max%Ttot was the highest and the lowest, the 3000 m and the marathon, respectively.
Indeed, the 3000 m race was the distance eliciting the highest Tlim at VO2max%Ttot (more than half of
the eﬀort) and the distance for which the Tlim at VO2max%Ttot was signiﬁcantly correlated with the
performance (r = 0.86, p = 0.003, Figure 2).
Seventy-four percent of the 3000 m performance variance could be predicted by the relative time
limit at VO2max (Tlim at VO2max%Ttot), higher than with vVO2max (69%). Furthermore, as highlighted
above, even if the relative time spent at VO2max was low (5%) during the marathon, the fraction of
vVO2max was a signiﬁcant predictor of marathon performance (r2 = 0.81).
4. Discussion
Classically, it was thought that neither the sprint nor the marathon elicited VO2max. Our results
show that VO2max can be elicited and sustained in the sprint, marathon, and middle-distance events.
Furthermore, we found that the time spent at VO2max represents a high fraction of the distance run in
the sprint and middle-distances (800–3000 m). However, this time spent at VO2max was only correlated
with the 3000 m event.
We believe that this is the ﬁrst study focusing on the solicitation of VO2max during the sprint
(100, 200 m). The solicitation of VO2max is brief, given that both oxygen kinetics and the delay of
achieving VO2max depends heavily on the acceleration phase [24]. Indeed, the time constant values
of the fundamental amplitude for VO2, the muscle phosphocreatine response to exercise, and VO2
dynamics cohere during both the moderate and high-intensity exercise [25].
We showed that VO2max is elicited in the marathon, even though the time spent at VO2max is only
5 percent. The results reported by Michael Maron (1976) agree with our results. Even if the Tlim at
VO2max%Ttot was the lower in the marathon (4 ± 4%), most marathon runners reached VO2max during
the eﬀort in Maron’s study.
The relative time runners spent at VO2max were not signiﬁcantly diﬀerent between the sprint and
short middle-distance events (800 and 1500 m).
Our group of elite national level sprinters possess an exceptionally high maximal aerobic capacity
that must be considered when examining our results [26]. Indeed, this ability to rapidly reach VO2max
during a sprint allows an athlete to perform sprint repeats during training and racing [27]. In a recent
study, the authors investigated the aerobic contribution to isolated sprints within a repeated-sprint bout
involving 5 × 6 s sprints [28]. The ﬁndings have shown that the aerobic contribution to the ﬁrst sprint is
∼10%, while during the ﬁfth sprint, it is ∼40%. The aerobic contribution to the ﬁnal sprint of each bout
was also signiﬁcantly related to VO2max [28]. This is supported by the VO2 attained during the ﬁnal
sprint of each bout, which was not diﬀerent from VO2max (p = 0.448). Due to the incomplete recovery
between sprints, it is possible that the progressive increases in PCr breakdown and Pi accumulation
over the course of the 5 × 6 s sprints would also have driven the increase in VO2 from the ﬁrst to the
ﬁnal sprint [28]. Thus, the signiﬁcantly greater VO2 in the ﬁfth sprint of each bout can probably be
attributed to starting from an elevated baseline [29], priming as a consequence of the previous sprints,
and an ADP-mediated stimulation of VO2 [28]. Their ﬁndings suggest that the aerobic contribution
to repeated-sprint exercise may be limited by VO2max and that by increasing this capacity a greater
aerobic contribution may be achieved during latter sprints, potentially improving performance [28,29].
it is likely that all sprints after the ﬁrst were initiated from an elevated baseline [30], which would
have elevated the VO2 during subsequent sprints [28]. Aerobic metabolism provides nearly 50% of
the energy during the second sprint of 10 or 30 s, whereas the phosphocreatine (PCr) availability is
essential for high power output during the initial 10 s [27]. Peak oxygen deﬁcit is also an important
factor of performance in the sprint and middle-distance events. Furthermore, multiple regression
analyses indicate that the peak oxygen deﬁcit is the strongest metabolic predictor of performance in
the 800, 1500, and 5000 m events [31].
Int. J. Environ. Res. Public Health 2020, 17, 9250
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Likewise, Billat et al. reported that a high peak oxygen consumption and the ability to run fast over
a 1000 m section of the marathon determined the diﬀerence between an elite marathon performance
(2 h 6 min–2 h 11 min) and a non-elite marathon time (2 h 12 min–2 h 16 min) [32].
Force-velocity characteristics and maximal anaerobic power are of great interest, especially in
elite runners [33].
Successful elite runners possess the ability to run at high speeds over periods of a few seconds to
several minutes [34]. This is likely mediated by the ability to rapidly deplete phosphocreatine (PCr) [28],
accelerate the oxygen kinetics, and increase the relative time spent at VO2max. Indeed, evidence suggests
that PCr depletion is related to sprint duration and subjects’ training status [35]. Hirvonen et al. (1987)
suggested that sprint performance is related to depleting a more signiﬁcant amount of high-energy
phosphates and at faster rates during the initial stages of exercise; he demonstrated that PCr depletion
was greater in a group of elite national level 100 m track sprinters [36]. The elite sprinters depleted
signiﬁcantly higher amounts of PCr than the slower sprinters during 80 and 100 m sprints (76 and
71%) [36]. The rapid depletion of PCr could also induce faster oxygen kinetics and, therefore, a more
extended time spent at VO2max. Korzeniewski and Zoladz (2004) (this last one being a prior high 800 m
level) clearly demonstrated that the half–transition time of VO2 kinetics is determined by the amount
of PCr that has been transformed into creatine during the rest-to-work transition [37].
A fast-start during a running eﬀort has been reported to increase VO2 kinetics and to improve
exercise tolerance [38–40]. Sahlin (2004) highlighted that the ATP turnover rate during a 100 m sprint
is estimated to be three-fold higher than during a marathon and 50 times higher than at rest [41].
Acceleration corresponds to about 10 and 40% of the total energy demand during 400 and 100 m
running, respectively [41]. During a 5000 m eﬀort, Sahlin (2004) considered that the total energy
demand is signiﬁcant, and that the contribution from kinetic energy becomes negligible. If we consider
that the time to reach VO2max contributes to the relative time spent at VO2max, our results show that
until the 10 km, the time spent at VO2max is not negligible (50% on 3000 m and 31% on 10 km).
Furthermore, once VO2max is reached in a sprint to the 10 km, it is maintained until the end of
the eﬀort, and this contributes to the relative time to exhaustion at VO2max. This contrasts with prior
studies that found a systematic decrease in VO2 in the last 100 m of a 400 and 800 m eﬀort after VO2max
was reached, but they did not observe this systematic decrease at the end of the 1500 m eﬀort [42]. We
can explain this diﬀerence in VO2 observed in the last 100 m between the 800 and the 1500 m eﬀorts
are due to the diﬀerence in speeds and the fact that the 1500 m eﬀort is run at a steady-state pace just
above vVO2max, whereas the 800 m is an all-out eﬀort [1].
The highest Tlim at VO2max%Ttot measured was in the 3000 m eﬀort, while the lowest was
measured in the marathon. Indeed, the 3000 m runners spent half of their time at VO2max (51 ± 18% of
Ttot), while the marathon runners reached VO2max, but only for 5% of the time.
Maron et al. conﬁrmed that VO2max was reached during 4% of the marathon in his research
using Douglas bags [10]. We recently analyzed the pacing strategy of the world record marathon
performance of Eluid Kipchoge at the 2019 Berlin marathon, 2h01 [43]. Kipchoge implemented a
fast start near vVO2max, then allowed himself to “recover” during the following two-thirds of the
marathon by running below his threshold and running above vVO2max km before the ﬁnish [43]. Many
marathons are now won in a ﬁnal sprint; Kenya’s Lawrence Cherono won the 2019 Boston Marathon
in such a manner.
The 3000 m eﬀort is a true balance between aerobic and anaerobic contributions, with high energy
production at VO2max. This corresponds to the average power at which the longest time to exhaustion
at VO2max is obtained, based on a model of the maximal endurance time at VO2max [2] and experimental
data from 90% to 140% of vVO2max [12,44].
This relative endurance time spent at VO2max was only a factor of performance in the group
for which the Tlim at VO2max%Ttot was the highest and the lowest, i.e., the 3000 m and marathon,
respectively). Indeed, the 3000 m eﬀort was the distance eliciting the highest Tlim at VO2max%Ttot
Int. J. Environ. Res. Public Health 2020, 17, 9250
8 of 11
(more than half of the time), and the race for which the Tlim at VO2max%Ttot was signiﬁcantly correlated
with the performance.
Previously, our laboratory studied the concept of time spent at VO2max by observing the speeds
that elicit the longest time to exhaustion at VO2max [44,45]. However, we now appreciate that this
approach is ﬂawed because it was based upon the model of constant power or speed, and not according
to variable pace running. It would be better to study this concept using variable pace running, which is
how humans run naturally. Indeed, the time spent at vVO2max was accurately predicted when the
vVO2max was expressed as a percentage of the maximal speed reserve (i.e., the diﬀerence between
maximal sprint velocity and the “critical speed” [44]. In our study, the average speed during the
3000 m was the closest to the critical speed at VO2max. This “critical speed” is that speed between at
which vVO2max and maximal lactate are reached. This is signiﬁcant because critical speed corresponds
to the highest metabolic rate at which energy is supplied through substrate-level phosphorylation and
reaches a steady-state at VO2max. The critical speed represents the highest metabolic rate at which the
energy supply produced via substrate-level phosphorylation reaches a steady-state below VO2max,
and represents the greatest rate of energy production via “pure oxidative” just above the maximal
lactate steady state [46,47].
However, this critical speed model was developed to ﬁnd the speed that elicits the maximal time
spent at VO2max. Billat et al. (1999) developed the concept of the critical speed at VO2max (CP’) and
deﬁned it as the speed that can be maintained while running at VO2max [45]. The authors used a test
with progressively increasing speeds to determine the subjects’ vVO2max, which is deﬁned as the speed
at which VO2max is attained.
Therefore CP’, i.e., the speed eliciting the maximal time spent at VO2max, was higher than the
traditional critical speed and was then deﬁned as the speed between the velocity at maximal lactate
steady state and vVO2max (equal to 87% of vVO2max in Morton and Billat, 2000). Therefore, CP’ was
suﬃcient to drive VO2 to its maximum and elicit the maximal time before exhaustion [2]. Expressing
running intensity as a percentage of the diﬀerence between maximal velocity (measured from an
individual 60 m eﬀort) and the critical velocity allowed better prediction of the time limit at VO2max
compared to the critical speed VO2max model [48]. This work conﬁrmed prior studies performed
on diﬀerent exercises (swimming, cycling, kayaking, and running) by Faina et al. (1997), who have
demonstrated that the anaerobic capacity was a signiﬁcant factor of the time spent at VO2max [49].
However, this approach was based on the constant speed paradigm. In addition, we know that
interval training protocols, alternating speed above and below the critical speed, allow a doubling of
the time limit at VO2max in comparison with the time limit at vVO2max (14 ± 5 vs. 4 ± 1 min) [50,51].
Surprisingly, extending this endurance time was shown to be possible using descending speed
cardiorespiratory test protocols after having reached VO2max until the maximal lactate steady state
speed while maintaining VO2max for almost 30 min [52].
5. Conclusions
In conclusion, our study showed that VO2max is clearly elicited in all distances from the sprint to
the marathon. A fast start and the time to reach VO2max is important in increasing VO2 kinetics and
to improve exercise tolerance. Human locomotion naturally uses a variable pace running strategy,
and it is time to break down the barriers between the so-called aerobic and anaerobic metabolisms.
We can only achieve this by moving the laboratory outdoors and performing studies in real-world
environments and racing conditions. In this way, a new paradigm of applied physiology will be
developed to provide new training and racing insights.
Author Contributions: Conceptualization, V.B.; methodology, V.B. and C.A.M.; software, C.A.M.; validation,
V.B. and C.A.M.; formal analysis, C.A.M.; investigation, V.B. and C.A.M.; resources, V.B.; data curation, V.B.;
writing—original draft preparation, V.B. and C.A.M.; writing—review and editing, V.B., J.E. and C.A.M.;
visualization, V.B., J.E. and C.A.M.; supervision, V.B.; project administration, V.B., J.E. and C.A.M. All authors
have read and agreed to the published version of the manuscript.
Int. J. Environ. Res. Public Health 2020, 17, 9250
9 of 11
Funding: Claire Molinari received a CIFRE(Conventions Industrielles de Formation par la Recherche). fellowship,
funded by BillaTraining. The work did not receive any signiﬁcant funding that could have inﬂuenced its outcome
Acknowledgments: The authors wish to thank the study participants for their collaboration, and Jean-Pierre
Koralsztein for helpful advice.
Conﬂicts of Interest: The authors declare no conﬂict of interest.
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Maximal Time Spent at VO<sub>2max</sub> from Sprint to the Marathon.
Molinari, Claire A,Edwards, Johnathan,Billat, Véronique