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Artículo de InvestIgAcIón
vo2 estimAtion
eqUAtion
ACCUrACy to yoUng AdUlts
rafel Chieza forteS GarCía1, rafael melo de oliveira2,
eduardo Camillo martinez3, eduardo BorBa neveS4
Recibido para publicación: 14-09-2019 - Versión corregida: 11-12-2019 - Aprobado para publicación: 14-12-2019
García RCF, Oliveira RM, Martinez EC, Neves EB. VO2 Estimation equation accuracy to young adults. Arch Med (Manizales) 2020; 20(1):33-9. DOI: https://doi.
org/10.30554/archmed.20.1.3476.2020
Summary
Objective: analyze the agreement of the V̇ O2max values estimated by American College
of Sports Medicine and Foster equations with direct measure gas analyze in young Brazilian males. The maximal oxygen uptake, as a health indicator and mortality predictor,
can be assessed in different ways. The gold standard comprises the direct measurement
of exhaled gases, which entails high cost. A more conveniently form can be estimation
equations. Materials and methods: this study assessed VO2max of 41 young Brazilian
males (21.4 ±2.2 years) by cardiopulmonary exercise test in a treadmill ergometer with
a ramp protocol. Bland and Altman analysis was performed to verify the agreement
between V̇ O2max measured and estimated values by ACSM and Foster equations. Results: the measured VO2max was 52.3 ± 4.9 ml.kg-1.min-1. The difference between the
measured V̇ O2max and the estimated V̇ O2max by the ACSM equation (9.40±3.67) was
approximately 7.5 times greater than the difference between the measured V̇ O2max and
estimated V̇ O2max by Foster’s equation (1.25±3.46). Bland Altman graphics shows that
only ACSM equation had mean differences that were significantly different from the
measured value. Conclusions: the ACSM equation showed not appropriate for during
treadmill stress testing young adults in a ramp protocol and Foster equation seems
to be a more accurate estimator of V̇ O2max for this population, besides showed a bias
along the aerobic capacity, trending to overestimates and underestimates V̇ O2max of
least and most fit people, respectively.
Keywords: oxygen consumption, exercise, physical exertion, ergometry, exercise test.
Archivos de Medicina (Manizales) Volumen 20 N° 1, Enero-Junio 2020, ISSN versión impresa 1657-320X, ISSN
versión en línea 2339-3874, García R.C.F., Oliveira R.M., Martinez E.C., Neves E.B.
1
MD. Department of Physiology, Brazilian Army Research Institute of Physical Fitness, Río de Janeiro, Brazil.
ORCID: https://orcid.org/0000-0002-1968-4882. Email.: rafaelcfgarcia@gmail.com
2
MSc. Department of Physiology, Brazilian Army Research Institute of Physical Fitness, Río de Janeiro, Brazil.
ORCID: https://orcid.org/0000-0002-9648-3208. Email.: majormelo98@hotmail.com
3
PhD. Department of Physiology, Brazilian Army Research Institute of Physical Fitness, Río de Janeiro, Brazil.
ORCID: https://orcid.org/0000-0003-3728-9859. Email.: eduardocmartinez@gmail.com
4
PhD. Department of Physiology, Brazilian Army Research Institute of Physical Fitness, Río de Janeiro, Brazil.
ORCID: https://orcid.org/0000-0003-4507-6562. Email: neveseb@gmail.com
VO2 Estimation equation accuracy to young adults
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Precisión de la ecuación de estimación
del VO2 para adultos jóvenes
Resumen
Objetivo: analizar la concordancia de los valores de VO2max estimados por las ecuaciones del Colegio Americano de Medicina del Deporte y de Foster con el análisis
de gases de medida directa en varones brasileños jóvenes. el consumo máximo de
oxigeno, como un indicador de salud y predictor de mortalidad, se puede evaluar de
diferentes maneras. El estándar de oro comprende la medición directa de los gases
exhalados, lo que implica un alto costo. Una forma más conveniente puede ser las
ecuaciones de estimación. Materiales y métodos: este estudio evaluó el VO2máx de
41 hombres brasileños jóvenes (21,4 ± 2,2 años) mediante una prueba de ejercicio
cardiopulmonar en un ergómetro en cinta ergométrica con un protocolo de rampa.
El análisis de Bland y Altman se realizó para verificar la concordancia entre V̇ O2max
medido y valores estimados por las ecuaciones del ACSM y de Foster. Resultados: el
VO2max medido fue de 52,3 ± 4,9 ml.kg-1.min-1. La diferencia entre el V̇ O2max medido
y el VO2max estimado por la ecuación ACSM (9,40 ± 3,67) fue aproximadamente 7.5
veces mayor que la diferencia entre el VO2max medido y el VO2max estimado por la
ecuación de Foster (1,25 ± 3,46). Los gráficos de Bland Altman muestran que solo la
ecuación de ACSM tenía diferencias estadísticas del valor medido. Conclusiones:
la ecuación ACSM no fue adecuada durante la prueba de ejercicio en cinta de correr
en adultos jóvenes en un protocolo de rampa y la ecuación de Foster parece ser un
estimador más preciso de VO2max para esta población, además mostró un sesgo a
lo largo de la capacidad aeróbica, con tendencia a sobreestimar y subestimar VO2
máx. de personas menos y más en preparadas, respectivamente.
Palabras clave: consumo de oxígeno, ejercicio, esfuerzo físico, ergometría, pueba
de ejercicio.
Introduction
The maximal oxygen uptake (V̇ O2max), by
definition, is related to aerobic work capacity
since integrates responses from three different
systems: cardiovascular, respiratory, and muscular [1,2]. Clinically, the V̇ O2max had been used
as a health indicator, being inversely associated
with all cause-mortality and also cardiovascular
mortality [3].
Nowadays, the best way to measure V̇ O2max
is by a treadmill or a cycle ergometer lab test
with equipments that analyze the exhaled air
composition during a bout of exercise until
volitional exhaustion [4]. However, such test
require equipments and highly trained personal
that raises the costs of an evaluation [1]. In this
scene, became important the development of
simpler methods.
A low-cost option is the V̇ O2max estimated
by equation, which do not require direct gas
analysis of exhaled air during the test. Through
the last few years, several equations looking
for estimated V̇ O2max during exercise stress
test without the direct gas measure. Those
equations could use as variables data from
the test (treadmill speed, slope grade) and/or
individual characteristics (age, gender, body
mass index, physical activity level). However,
even the most used equation shows limitations
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which compromise the extrapolation of the results to other populations. The main reason for
this came from the wide range of ages of the
studied populations, types of ergometers and
exercise protocol [5].
The American College of Sports Medicine
(ACSM) [6] and Foster [5] developed probably,
two of the most used V̇ O2max estimation equation
used in clinical practice, therefore many other
studies had tested the validity and accuracy of
these V̇ O2max estimation equations on a number
of different population [7-9], but none of them
have tested only young adults.
The objective of the present study is to analyze the agreement of the V̇ O2max values estimated by ACSM and Foster equations with direct
measure gas analyze in young Brazilian males.
Materials and methods
Study design
This was an experimental study which involved a maximal incremental exercise test using
a treadmill and simultaneous V̇ O2max measuring
by an ergospirometric device based on breathby-breath gas exchange analyzing system.
Participants
Forty-one healthy young male volunteers
aged from 19 to 26 years-old (21.4 ±2.2 years)
took part in this study. All participants had a
minimum of 3 aerobic training sessions per
week during last six months. The study was
in agreement with the good clinical practice
requirements, ethical principles of Declaration
of Helsinki and informed written consent was
obtained from each participant before data collection. The research protocol was approved by
Human Research Ethics Committee of Campos
de Andrade University Center under number
28901414.3.0000.5218.
Pretesting procedures
All participants were screened by independent physician for their healthiness to particiVO2 Estimation equation accuracy to young adults
pate in the study and none of them had any
detected medical issue.
Anthropometric assessment
Anthropometric assessment was performed
by Whole-body dual X-ray absorptiometry
(DEXA) scans (Lunar iDXA; GE Medical Systems, Wisconsin, USA), which acquired signal
at T0 and T1 to quantify total lean mass and
fat mass [10]. All scans were performed in the
morning with 8-10 h after the last meal [11]. An
experienced technician performed and analyzed the scanned images.
Maximal oxygen uptake
measurement
All volunteers performed a maximal incremental exercise test using a treadmill
(SuperATL, Inbramed, Brazil). Participants
exercised to exhaustion using a Ramp protocol without handrails support. The treadmill
gradient was constant at 1% through the
test. The speed of the treadmill was adjusted for each individual in order that the test
should be completed within 8–12 min. The
initial speed of the belt ranged from 8 to 10
kmh -1 and raised 0.1 kmh -1 every each 6 or
7 seconds. Both the initial speed and the
incremental interval were determined based
on the physical fitness of each participant.
Heart rate was monitored continuously
during the test (RS800, Polar, Finland). The
V̇ O2max was measured by an ergospirometric device based on breath-by-breath gas
exchange analyzing system (Ultima Series,
MedGraphics, USA). The following exercise
test criteria were used for the achievement
of V̇ O2max: leveling off (plateau) of oxygen
uptake with an increase of work rate; respiratory exchange ratio (VCO2/VO2) greater than
1.10; achievement of 90% of the age-adjusted estimate of maximal heart rate. They were
asked to avoid any alcoholic and caffeinated
beverage or ergogenic aids 48 hours prior
to the test [12,13].
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VO2max Estimation
To estimate VO2 through equations was
used the variables obtained in the cardiopulmonary exercise test. The equation proposed
by ACSM 5 as the sum of 3.5 + (0.2 * speed) +
(0.9 * speed * grade), with speed in m.min-1 and
grade expressed in decimal format (eg. 10%
= 0:10). Foster equation [4] was (0.869 * VO2
ACSM) – 0.07, where VO2 ACSM corresponds
to the value VO2 previous obtained through the
ACSM equation.
Statistical analysis
All volunteers’ physical variables were expressed by average and standard deviation
(SD) values. Kolmogorov-Smirnov test was
performed to assess the normality assumption
of the sample, Pearson (r) correlation coefficient
was used for evaluation of the association
among the measured and estimated values.
The Student T test was used to compare the
values of V̇ O2max measured (mean) and V̇ O2max
estimated using equations. Bland and Altman
analysis [14] was performed to verify the agreement between V̇ O2max measured and estimated
values, whereby the difference between the two
methods is plotted on the vertical axis versus
the gold standard values (V̇ O2max measured
values) in the horizontal axis. The Statistical
analyses were performed using Statistical
Package for Social Sciences (SPSS, version
21.0). The statistical significance level was set
at p < 0.05.
Results
Participant’s anthropometric characteristics
and cardiorespiratory data during maximal
exercise test are presented in Table 1.
Correlations between the measured V̇ O2max
and each equation (ACSM, Foster’s equation) were strong [15]. ACSM and Foster’s
equations had the same value because both
used peak speed and peak grade as variable
(Table 2).
Volumen 20 Nº 1 - Enero-Junio de 2020
Table 1 - Anthropometric characteristic and
cardiorespiratory data at maximal exercise test from
41 Brazilian young adults (mean, standard deviation)
Variable
Age (years)
Height (cm)
Body mass (kg)
Fat Percentage (%)
Maximal Heart Rate (beats .m-1)
Maximal Speed (m min-1)
V̇ O2max (ml kg-1 min-1 ) (Measured)
V̇ O2max (ml kg-1 min-1 )
(Foster’s equation)
V̇ O2max (ml kg-1 min-1 )
(ACSM’s equation)
VE (ml min-1 )
RER
MET
Time (s)
Average
21.4
172.0
72.0
19.1
194.3
278.3
52.3
±SD
2.2
6.0
8.2
5.0
8.7
24.2
4.9
53.5
4.4
61.7
5.1
121.1
1.14
14.9
607
17.0
0.06
1.4
66
SD - standard deviation; V̇ O2max - maximal oxygen
uptake; VE - maximum minute volume ; RER - respiratory
exchange ratio; MET - metabolic equivalent
Source: authors.
Table 2 – Pearson correlation coefficient among
Measured V̇ O2max and V̇ O2max equations
Pearson correlation
coefficient
Measured V̇ O2max
p
VO2 Foster
VO2 ACSM
0.728*
<0.001
0.728*
<0.001
* Correlation is significant at the p<0.01
Source: authors.
Comparing the values of measured V̇ O2max
(mean) and estimated V̇ O2max using ACSM
equation by the Student T test, it was observed
a statistical difference (p<0,001). The estimated
V̇ O2max by the Foster’s equation was different
from the measured V̇ O2max. (p=0.025), as well,
but the difference between the measured
V̇ O2max and the estimated V̇ O2max by the ACSM
equation (9.40±3.67) was approximately 7,5
times greater than the difference between the
measured V̇ O2max and estimated V̇ O2max by the
Foster’s equation (1.25±3.46), as presented
in Table 3.
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Table 3 – Mean difference in measured and estimated V̇ O2max, SD and 95% interval confidence
Equation
Foster
ACSM
V̇ O2max measured
Mean Difference
(Mean ± SD)
mL.kg-1.min-1
1.25
9.40
52.25±4.94
SD
95% IC
3.46
3.67
-5.53 to 8.03
2.21 to 16.59
SD – standard deviation; IC – interval confidence.
Source authors.
Analyzing the bias for each estimated equation by Bland Altman graph ( Figures 1 and 2) can
be seen that only the ACSM equation had mean
differences that were significantly different from
the measured value. The residual R2 value for
the ACSM equation was 0.116, while Foster’s
equation shows residual R2 value of 0.251.
Discussion
measured V̇ O2max. In the other hand, ACSM
equation mean difference of 9.40 ml.kg-1.min-1
was 7.5 times greater than the Foster equation
and represents 17.9% of mean V̇ O2max.
These findings were similar to other studies,
but in the elderly and athletes, where the ACSM
equation showed a tendency to overestimate
the values of V̇ O2max.
Considering the results obtained in this study,
the Foster equation [5] showed better accuracy and bias than the ACSM [6] in estimating
V̇ O2max. The mean difference of 1.25 ml.kg-1.min1
can be considered acceptable for an estimate
equation, and analyzing the standard deviation
of the difference, the value of 3.45 ml.kg-1.min-1
(approximately 1 MET) is only 6.6% of mean
Koutlianos et al. [16], assessing an athletic
population, demonstrated that ACSM’s running
equation overestimates the V̇ O2max values in
14.6% when comparing to the direct measured
value [16]. Petersen and coworkers [17] also
found that ACSM’s equations overestimated
V̇ O2max in 21.1% during a treadmill stress testing
in older adult. Both authors suggested that the
inaccuracy of the ACSM equation is probably
Figure 1. Bland and Altman plot of the measured V̇ O2max
values versus the difference between the measured
and estimated V̇ O2max by Foster Equation (n = 41).
Horizontal bold lines indicate mean ± 1.96 SD.
Figure 2. Bland and Altman plot of the measured V̇ O2max
values versus the difference between the measured and
estimated V̇ O2max by ACSM Equation (n = 41). Horizontal
bold lines indicate mean ± 1.96 SD.
Source: authors.
Source: Authors
VO2 Estimation equation accuracy to young adults
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due to its proposed use for estimation during
steady state exercise and developed using
highly fit male participants.
Analyzing Bland-Altman plot (Figures 1 and
2) was observed, in both equations, a tendency
to over- and underestimation of V̇ O2max compared to measured values at the low and high ends
of the fitness spectrum, respectively. This systematic bias has previously been reported, whereby others V̇ O2max estimation equations overestimates the V̇ O2max of the least fit people and
underestimates values for the most fit [18-20].
Other studies have showed physical activity
level, gender, age, BMI, treadmill speed, treadmill grade as independent predictors of V̇ O2max
[17,21]. However, it is observed that most of
the equations developed through the years,
prioritized the use of few variables in order to
make them more functional and practical, even
if the accuracy and correlation was reduced.
Petersen et al observed a 0.20 increase in R2
when adding physical activity level, gender, age
and BMI to a model that originally included only
treadmill grade and speed [17].
A practical implication is that coaches and
young physically active adults should use the
Foster equation instead of the ACMS equation.
This is recommended because, based on the
normative values of maximal aerobic power
from ACSM’s Guidelines for Exercising Test and
Prescription, the mean measured V̇ O2max of
the participants was 52.3 ml.kg-1.min-1 classifying them between percentiles 80 and 85,
Volumen 20 Nº 1 - Enero-Junio de 2020
described, therefore, as excellent. In the meantime, the same volunteers when assessed by
an estimating equation as ACMS equation, the
mean difference of 9.40 ml.kg-1.min-1 ensures a
superior classification, as the estimated values
are above percentile 99. Those discrepancies
don’t occur with Foster’s equation since the
smaller difference from the directly measured
value did not affect the maximal aerobic power
classification.
As a limitation of this study, although it was
observed the same phenomenon described by
Petersen and coworkers [17], the magnitude
of these events cannot be precisely stratified,
mainly because the characteristics of the sample, which was composed basically by young
physically active adults with a narrow age
range which would rank them above the 85th
percentile according to the ACSM. For the same
reason, extrapolation of current results is not
possible for other populations, such as women,
sedentary individuals or people with coronary
heart disease or heart failure.
Conclusion
The ACSM equation, although the most
widely used prediction equation in clinical
settings, is not appropriate for during treadmill
stress testing young adults in a ramp protocol.
Foster equation is more accurate estimator
of V̇ O2max for this population, besides showed
a bias along the aerobic capacity, trending to
overestimates and underestimates V̇ O2max of
least and most fit people, respectively.
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