Reference
Values
for
Respiratory
Rate
in the
First
3 Years
of Life
Franca Rusconi, MD*; Manuela Castagneto, MD*; LUigi Gagliardi, MDX; Gualtiero Leo, MD;
Antonio Pellegatta, MDIJ; Norberto Porta, MD*; Sultana Razon, MDII; and Mario Braga, MD**
ABSTRACT. Background. Raised respiratory rate is a
useful sign to diagnose lower respiratory infections in childhood. However, the normal range for respiratory rate has not been defined in a proper, large sample.
Objective. To assess the respiratory rate in a large number of infants and young children in order to
con-struct percentile curves by age; to determine the
repeat-ability of the assessment using a stethoscope and com-pare it with observation.
Methods. Respiratory rate was recorded for 1 minute with a stethoscope in 618 infants and children, aged 15 days to 3 years old, without respiratory infections or any
other severe disease when awake and calm and when
asleep. In 50 subjects we compared respiratory rate taken 30 to 60 minutes apart to assess repeatability, and in 50 others we compared simultaneous counts obtained by stethoscope versus observation.
Results. Repeatability was good as the standard de-viation of differences was 2.5 breaths/minute in awake and 1.7 breaths/minute in asleep children. Respiratory rate obtained with a stethoscope was systematically higher than that obtained by observation (mean differ-ence 2.6 breaths/minute in awake and 1.8 breaths/minute in asleep children; P .015 and P < .001, respectively). A
decrease in respiratory rate with age was seen for both
states, and it was faster in the first few months of life when also a greater dispersion of values was observed. A
second degree polynomial curve accurately fitted the
data. Reference percentile values were developed from these data.
Conclusions. The repeatability of respiratory rate
measured with a stethoscope was good. Percentile curves
would be particularly helpful in the first months of life when the decline in respiratory rate is very rapid and prevents to use cut off values for defining “normality.”
Pediatrics 199494:350-355; respiratory rate, age-related
centiles, reference values, repeatability.
ABBREVIATION. RR, respiratory rate.
In many studies tachypnea has been found to be
the most reliable clinical sign that a child has
pneu-From the *First and Second Departments of Pediatrics, University of Mi-lano; Department of Neonatology and NICU, Ospedale Niguarda, Milano; Departments of Pediatrics of §Ospedale Regina Elena and ilOspedale
S. Carlo, Milano and lOspedale di Busto Arsizio; **Epideimology Unit, Ospedale Maggiore Policlinico, Milano, Italy.
These data were presented in part at the Annual Meeting of the American Thoradc Society-American Lung Association International Conference,
San Francisco, May 16 through 19, 1993.
Received for publication Sep 27, 1993; accepted Jan 31, 1994.
Reprint requests to (FR.) Seconda Clinica Pediatrica, Universit#{224} di Milano, Via Commenda 9, 20122 Milano, Italy.
PEDIATRICS (ISSN 0031 4005). Copyright © 1994 by the American Acad-emy of Pediatrics.
monia rather than an upper respiratory tract
infec-tion.’4 Although most of these studies were carried
out in developing countries to help primary health
workers to manage respiratory infections correctly,
also in developed countries many infants and young
children with respiratory infections are seen in
out-patient settings where roentgenographic facilities are not immediately available. In these situations a more
precise definition of tachypnea and percentile curves
for reference values would be particularly useful.
The only centile curves available do not cover the
first years of life in detail, and were obtained 40 years
ago by repeated measurements in few subjects
re-gardless whether they were awake or asleep.5
Fur-thermore, these infants and children lived at high
altitude (Denver, CO), and the lower oxygen partial
pressure could therefore have influenced the results.6
Surprisingly only a few other studies have dealt
with the problem of defining the “normal”
respira-tory rate. In a community-based study7 the
respira-tory rate was counted for 60 seconds in a very large
number (>6000 examinations) of infants younger
than 12 months in different states (sleeping, awake
and calm, awake and not calm). Also this study was
done at high altitude (Lima, Peru), and, moreover,
the infants had a history of cough and therefore
could have had a respiratory tract disease. The other
two studies available on a large number of infants
refer only to subjects under 6 months.8’9 Richards et
al8 reported the distribution of mean respiratory rate
values recorded during sequential 22-hour electronic
monitoring: this method of counting is impractical to
use in clinical settings and the data cannot therefore
be used as reference values by clinicians. In Morley
et al’s study9 the mean respiratory rate was assessed
by stethoscope or by a hand on the chest during three
15-second intervals in asleep and awake infants; this
short time of counting could have introduced some
error in the final evaluation of respiratory rate. The
mean values found by the authors are higher than
those previously described and do not vary with
postnatal age.
These discrepancies in methodologies,
popula-tions studied, and results, and the lack of age-related reference values for the first years of life led us to
perform this study. The aim was to record the
respi-ratory rate in infants and children aged 15 days to 3
years with neither severe diseases nor clinical signs
of respiratory infections in order to: 1) determine the
repeatability of recordings 30 to 60 minutes apart
by stethoscope, which is a very common method to
compare respiratory rate counts obtained by
stethoscope and by observation; and 3) construct
reference centile curves by age in a large number
of subjects.
SUBJECTS AND METHODS
Six hundred eighteen infants and children, 336 males and 282
females, aged 15 days to 3 years, were assessed during 1 year. Distribution in this age range is shown in Table 1. The subjects were seen evenly across the seasons by four investigators. Each
investigator assessed a minimum of 100 subjects. Of the 618 sub-jects assessed, 309 were in good health and were seen in day care centers and 309 were seen in hospital as inpatients oroutpatients.
The main diagnoses for these patients were gastrointestinal and urologic disorders, skin diseases, and orthopedic problems.
Exclusion criteria were the presence of any chronic or severe
illness, dehydration, or a history of fever or respiratory findings suggesting a respiratory infection in the previous 2 weeks.
In each child the respiratory rate was recorded by the same assessor both when the child was awake and calm and when he was in quiet sleep according to behavioral criteria (sleep not
associated with any spontaneous movement, induding no eye movements or vocalizations). Infants and children who were un-settled or crying did not have their respiratory rate measured. In awake children older than I year of age respiratory rate was
assessed when they were playing quietly. For each state respira-tory rate was assessed by listening to breath sounds for 60 seconds with a stethoscope put gently on the baby’s naked chest.
In 50 subjects evenly distributed across the ages (10 for each of the following dasses of age: <2 months, 2 to <6, 6 to <12, 12 to <24, and 24 to 36 months) the respiratory rate was recorded twice, by the same assessor, 30 to 60 minutes apart, listening to breath sounds for 60 seconds with a stethoscope, when the child was awake and calm and when he was sleeping.
In 50 subjects evenly distributed across the ages (same as
above) the respiratory rate in the two different states (awake and calm and sleeping) was recorded simultaneously by two assessors, one listening to breath sounds and the other counting the
respi-ratory rate by observation of the abdominal and chest wall
move-ments. To avoid as far as possible an operator effect, the two assessors exchanged roles (observer-listener) randomly.
STATISTICS
Repeatability Analysis and Comparison Between
Observed and Stethoscope Counts
The repeatability of respiratory rate measurement
by stethoscope was evaluated by calculating for each
pair of recordings the difference between the first
and the second measurement (first minus second
measurement).’#{176} The standard deviation of these dif-ferences is an index of the precision of the method.
The SD of the differences was used to calculate the
95% coefficient of repeatability’0 (“the value
be-low which the differences between two single test
results may be expected to lie with a specified
probability”).”
The agreement between respiratory rate counts
obtained by stethoscope and those obtained by
ob-servation was assessed using the same technique, ie,
by calculating the difference in respiratory rate
counts (stethoscope minus observation).’#{176} The mean
of the difference between the two counts is an
esti-mate of the systematic difference (bias) between the
methods.
State of the Child and Influence of Potential Confounding Factors
The influence of the state of the child (awake and
calm or asleep) and of potential confounding factors
(gender, season of the year, and examination in
hos-pital or in day care centers) on respiratory rate
counts was assessed with an analysis of variance
after grouping the subjects in the following classes of
ages: <2, 2 to <6, 6 to <12, 12 to <24, 24 to <30, and 30
to 36 months. All these calculations were done with
the statistical package SPSS/PC+.
Construction of Centile Curves
Two problems were encountered in the
construc-tion of centile curves from these data; first, the skew-ness of the distribution of respiratory rate at different ages was highly variable; and second, the dispersion (SD) of the values at various ages was also different.
No single data transformation could resolve these
problems and render the data identically and
nor-mally distributed across all age values, so as to
permit the use of standard techniques. Log
transfor-mation however led to equal variances,’2 and
conse-quently was used before the subsequent analysis,
which was carried out with the nonparametric
tech-nique described by Healy et al.’3 Briefly, an ideal box
around the first k (in our case k = 50) observations
sorted according to age values is selected, and the
least squares regression of respiratory rate on age is
then calculated. The centiles of the observed
residu-als from the fitted line are then calculated and
as-signed to the median of the age values of the box.
The box is then moved I point ahead (removing the
first point, and including the 51st one), and the
pro-cedure is repeated until all data are covered and raw
centiles are obtained.
With this method the first half of the first box and
the second haM of the last box do not contribute
points to raw centiles. To avoid losing this
informa-tion we oversampled subjects at younger ages, and,
at the other extreme, we studied also 44 children
older than 36 months of age. The raw centiles
ob-tamed in the first step of the procedure are very
irregular, and need to be smoothed. This is done by
TABLE. Mean, median ,and SD of respira tory rate acco rding to waking or sl eeping in 61 8 infants and children grouped in c lasses of age
Age (Months) Number Awake Subjects Asleep Subjects
Mean Median SD Mean Median SD
<2 2 to <6
6 to <12
12 to <18 18 to <24 24 to <30 30 to 36
104 106 126 77 65 79 61 48.0 44.1 39.1 34.5 32.0 30.0 27.1 47 42 38 34 32 30 28 9.1 9.9 8.5 5.8 4.8 6.2 4.1 39.8 33.4 29.6 27.2 25.3 23.1 21.5 39 32 28 26 24 23 21 8.7 7.0 7.0 5.6 4.6 4.6 3.7
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C E UI .C 15 .0 C U C 5, 5,
) 10 30 50 70
C E UI .5 a, .0 C 0 (5 > a, UI .0 a, 0. 0 .C 20 a, fl c io c S
C S S
!
SAverage RR by the two counts (breaths/mm) Fig 2. Differences between respiratory rate (RR) counts simulta-neously determined by stethoscope and by observation in relation to their mean in awake (A) and asleep (B) subjects.
0 20 40 60 80
Average RR by the two counts (breaths/mmn)
Fig 1. Differences in respiratory rate (RR) counts determined by
stethoscope at 30 to 60 minutes interval in relation to their mean in
awake (A) and asleep (B) subjects.
fitting interrelated polynomial functions to the
ob-served centiles (details of this second step are
out-lined in the Appendix), which guarantees as much
flexibifity as possible without losing information as
the centile curves are constrained to vary smoothly
with age and also their relation varies smoothly.
Previous knowledge and careful data inspection
helps to determine the degree of constraint that
should be imposed on the individual curves.
Separate centile curves were fitted to the data
ob-tamed in awake and asleep states. A pilot package
(GROSTAT II) implementing the method was used
for the centile construction.14
RESULTS
Repeatability of Respiratory Rate Counts
In Fig 1 the differences between respiratory rate
counts determined by stethoscope at 30-60 minutes
interval are plotted against their mean count. The SD
of the differences between the two counts was 2.5
and 1.7 breaths/minute, respectively, when the
in-fants and children were awake and calm and when
they were asleep (yielding 95% repeatability
coeffi-cients of 4.9 and 3.3 breaths, respectively). The size of
the differences and the mean respiratory rate value
were not correlated (r = .013 and .035 in awake and
in asleep subjects, respectively), ie, the respiratory rate value did not seem to influence the repeatability of the observation.
‘U
A S
5 .
0
55 5 5
555 5 55. 5 S 5 5 55 5 5
S S S
S S S S S S S S 555 S S S S -5 -10 0 20 ! S
40 60 81
5
0
-5
-1(
B
S 55 5
55
S 555 5 5
5
S S S S S S
S S S
S #{149}S S
55
I I
Comparison Between Respiratory Rate Obtained by
Stethoscope and by Observation
Both in awake and in asleep states respiratory rate counts obtained by stethoscope were systematically
higher than those obtained by observation (Fig 2).
The mean difference (mean bias) was 2.6 and I .8
breaths/minute, respectively, in awake and asleep
states (P = .015 and P < .001). The dispersion was
wider in infants and children when awake than
when asleep (SD of the differences 7.4 vs. 2.3 breaths,
respectively). A tendency toward a greater
disper-sion at higher respiratory rate was noted.
State of the Child and Influence of Potential
Confounding Factors
At all ages mean respiratory rate counts were
sig-nificantly higher (P < .001, paired Student’s t test
with Bonferroni correction for multiple comparisons)
in infants and children when awake and calm than
when asleep (Table 1).
The effect of potentially confounding factors
(gen-der, season of the year, or being seen in a day care
center or in a hospital) was then assessed separately
in awake and in asleep states with an analysis of
variance. None of the factors examined significantly
influenced the respiratory rate count in either state so
that the data were considered together in the
con-struction of centile curves.
Postnatal Age and Construction of Centile Curves
A decrease in respiratory rate with increasing age
was seen both in awake and in asleep infants and
80 70 60 50 40 30
C E
UI
.C
(5 0 .0
Age (months)
27 30 33 36
C
E .C
(5
a,
.0
60
50 40 30 20
10
0 3 6 9 12 15 18 21 24 27 30 33 36
Age (months)
Fig 5. 5th, 10th, 25th, 50th, 75th, 90th, and 95th smoothed centiles by age in awake subjects (RR = respiratory rate).
70 60
C
.5o
. 40
.0
.- 30
20
0 3 6 9 12 15 18 21 24 27 30 33 36
Age (months)
Fig 6. 5th, 10th, 25th, 50th, 75th, 90th, and 95th smoothed centiles by age in asleep subjects (RR = respiratory rate).
S.
I’..
U:
40.0
a: a:
20
10
0 3 6 9 12 15 18 21 24 27 30 33 36
Age (months)
Fig 3. Scatter diagram of respiratory rate (RR) counts by age in awake subjects.
children (Table 1, Figs 3 and 4). The pattern of
respi-ratory rate decline with age was similar in both states
and was much faster in the first few months of life.
To be able to describe with greater accuracy and
precision the steeper part of the curves, where the
observed fall in respiratory rate was faster, we
sam-pled more babies in the first year of life and, in
particular, in the first few months. The dispersion of
observed data was wider at young ages: the SDs of
the observed respiratory rate counts fell from 9.1
breaths/minute in subjects <2 months to 4.1 breaths/
minute in subjects 30 to 36 months old in the awake
state, and from 8.7 to 3.7 breaths/minute in the
asleep state (Table 1).
To construct centile curves the data were first
log-transformed and then a second degree (quadratic)
polynomial curve was used. This allowed an
excel-lent fitting to observed data with very simple
equa-tions. In Figs 5 and 6 the centile curves for awake and
asleep infants and children are shown. The equations
describing the 95th centile are:
y = 10(1821 - O.0125995x + O.00013401x2),
in the awake state, and
y = 10(1 - 0.0139928x + 0.00017646x)
in the asleep state, where y = respiratory rate, and
x = age in months.
The Appendix gives the general equations describing
the centile curves for both states.
Fig 4. Scatter diagram of respiratory rate (RR) counts by age in
asleep subjects.
70
DISCUSSION
The difficulty in defining the “normal” respiratory
rate in infants and young children prompted us to
perform this study. Differences between the reported
respiratory rates in healthy infants and children may
be due to various factors as extensively discussed in
a recent review by Berman et al,7 including the
num-ber of infants studied, the period of time counting, the method of counting, and the state of the infant.
Because of the natural variability of the respiratory
rate and the presence of periodic breathing in infants
<
6
months of age,8’15 a 60-second count has beenrecommended by the World Health Organization.
One minute’s counting either at a stretch or in two
blocks of 30-second intervals has recently been
con-firmed to be the best time period of counting by
Simoes et al’6 in an ad hoc study.
Many techniques have been used to count the
respiratory rate in infants and children including
continuous electronic monitoring from an abdominal
or thoracic wall movement detector, observation of
the abdominal and chest wall movements, listening
to the breath sounds with a stethoscope, and putting
a hand on the baby’s chest. Recording respiratory
rate by electronic monitoring is obviously impracti-cal in clinical practice. Moreover, with this method,
particularly if the infant is asleep, movements could
distort respiratory tracings or superficial breaths
could be missed.8’17 These problems could also affect
the observation counting method.7”8
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As there is no counting method that can be
considered a gold standard we chose to use the
stethoscope because, like Morley,’8 we found it
very difficult to count respiratory rate by
observa-tion in very active, lively infants.
Use of the stethoscope yielded good repeatability
and low variability of the respiratory rate over a
short period of time (30 to 60 minutes) both in awake
and in sleeping infants and children. This counting
method probably allows detection of even small
breaths that are missed at observation because of
chest/abdominal movements. In fact, in subjects in
whom simultaneous (stethoscope and observation)
counts were performed we found that the respiratory
rate recorded by stethoscope was systematically
higher than that recorded by observation.
In our study, as in previous ones,9”5”7 respiratory
rate counts were higher in awake than in sleeping
subjects and decreased with increasing age. Our
mean respiratory rate values in the first 6 months of
life were comparable to those reported in studies in
which continuous electronic monitoring was used
for prolonged time periods to record respiratory
rate5”7 but lower than those reported by Morley
et al.9
The variability of respiratory rate among subjects
was larger in the first few months of life in our series.
Analysis of the causes is beyond the scope of the
study, but there are many possible biological
expla-nations. In the first months of life several events
occur including maturation of the neurologic control
of breathing (eg, the weakening and disappearance
of reflexes such as the Hering-Breuer reflex’9), the
change of the hemoglobin dissociation curve due to
the shift from fetal to adult hemoglobin, with
differ-ences in oxygen delivery to tissues, changes of the
mechanical properties of the respiratory system (eg,
changes in lung and chest wall compliance and lung
volumes1921), all of which probably affect
respira-tion. The degree and speed of these phenomena
probably vary greatly from one baby to another, and
result in greater overall variability.
Pediatricians are accustomed to use age-related
centiles when evaluating findings that change with
age. However, in the evaluation of respiratory rate
age-related cutoff values are used more frequently
than centile curves. The graphic detail of the only
centile curves available5 is poor, particularly for the
first years of age. This constitutes an obstacle to their
clinical use, in addition to the problems already
dis-cussed in the collection of the raw data used to
construct these curves. Moreover, since the
smooth-ing of the data was carried out graphically, no
equa-tions are provided and it is impossible to redraw the
figures. On the other hand, cutoff values and
tabu-lations of descriptive statistics such as means and
SDs in classes of age are very inefficient ways of
presenting data when age-related changes are rapid,
and are potentially misleading unless very narrow
classes of age are considered.
The curves presented here allow the decline in the
respiratory rate to be followed with greater detail
and accuracy, especially in the first months of life.
The use of the distribution-free technique developed
by Healy et al’3 permitted us to construct accurate
centile curves without assumptions on the shape of
the distribution at each age and considering only the
general trend of respiratory rate. A second degree
polynomial curve was sufficient to describe the data
accurately both in awake and in asleep infants and
children. Only five parameters were required to fully
construct the centiles. Thus, the danger of overfitting the data was avoided.
In conclusion, we hope that the curves presented
in this study will be helpful, particularly in
evaluat-ing babies in the first months of life when the rapid
decline in respiratory rate prevents the use of cutoff
values to define normality.
APPENDIX: CENTILE SMOOTHING AND
ESTIMATED EQUATIONS
To construct usable centile curves, the observed raw centiles must be smoothed, fitting interrelated polynomials to them.
Poly-nomials are flexible enough to fit each centile adequately. In our case, a second-degree function was sufficient after log transforma-tion of the data.
Thus, for the ith centile, these polynomials have the following formula:
Yi =A #{247}A,1x + Ax2 (1)
where x is the age in months, and Y Log,0(RR).
This ensures that each centile varies smoothly with age. In order to use all the available information the method constrains the centiles to be interrelated in a smooth way. This is accomplished by modeling the coefficients A11 as polynomial functions of Z,, the
normal equivalent deviate corresponding to the ith centile (for instance, for the 50th centile, Z = .0; for the 95th centile, Z95 = 1.645, etc) according to the following formula:
A11= B0 + B11Z + B12Z12 + .. .+ B1Z. (2)
Combining Equations I and 2 gives the final model.
In our case, for both A. and A1 a first-degree function, and for A2 an intercept-only function were selected. Thus, for the ith centile, omitting for clarity the ith subscript, the equation is:
Log,o(RR) = (Bm + B0,Z) + (B,0 + B11Z)x + B2x2.
For the actual coefficient estimated,
Log(RR) = (1.6801 + 0.08592Z) - (0.01189 + 0.0004301Z)x + 0.0001340x2
for awake data, and
Log(RR) = (1.5773 + 0.09196Z) - (0.01314+ 0.0005155Z)x
+ 0.0001765x2
ACKNOWLEDGMENTS for asleep data.
We are grateful to the medical staff of the Department of Pediatrics of the Ospedale Buzzi, Milano, and to Dr. Aurelio Nova,
Monza, for permission to examine infants and children under their care, and to Alix Green for help in revising the manuscript.
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Noted by J.F.L., MD
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1994;94;350
Pediatrics
Antonio Pellegatta, Sultana Razon and Mario Braga
Franca Rusconi, Manuela Castagneto, Norberto Porta, Luigi Gagliardi, Gualtiero Leo,
Reference Values for Respiratory Rate in the First 3 Years of Life
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Antonio Pellegatta, Sultana Razon and Mario Braga
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