A New and Improved Population-Based Canadian Reference for
Birth Weight for Gestational Age
Michael S. Kramer, MD*‡; Robert W. Platt, PhD*‡; Shi Wu Wen, MB, PhD§; K.S. Joseph, MD, PhD\;
Alexander Allen, MD\; Michal Abrahamowicz, PhD‡; Béatrice Blondel, PhD¶; and
Gérard Bréart, MD, PhD¶ for the Fetal/Infant Health Study Group
of the Canadian Perinatal Surveillance System
ABSTRACT. Background. Existing fetal growth references all suffer from 1 or more major methodologic problems, including errors in reported gestational age, biologically implausible birth weight for gestational age,
insufficient sample sizes at low gestational age, singlehospital or other non-population–based samples, and inadequate statistical modeling techniques.
Methods. We used the newly developed Canadian
national linked file of singleton births and infant deaths
for births between 1994 and 1996, for which gestational
age is largely based on early ultrasound estimates. Assuming a normal distribution for birth weight at each
gestational age, we used the expectation-maximization
algorithm to exclude infants with gestational ages that
were more consistent with 40-week births than with the
observed gestational age. Distributions of birth weight at
the corrected gestational ages were then statistically
smoothed.
Results. The resulting male and female curves provide smooth and biologically plausible means, standard
deviations, and percentile cutoffs for defining small- and
large-for-gestational-age births. Large-for-gestational age
cutoffs (90th percentile) at low gestational ages are considerably lower than those of existing references,
whereas small-for-gestational-age cutoffs (10th percentile) postterm are higher. For example, compared with the
current World Health Organization reference from California (Williams et al, 1982) and a recently proposed US
national reference (Alexander et al, 1996), the 90th percentiles for singleton males at 30 weeks are 1837 versus
2159 and 2710 g. The corresponding 10th percentiles at 42
weeks are 3233 versus 3086 and 2998 g.
Conclusions. This new sex-specific, population-based
reference should improve clinical assessment of growth
in individual newborns, population-based surveillance
of geographic and temporal trends in birth weight for
gestational age, and evaluation of clinical or public
health interventions to enhance fetal growth. Pediatrics
2001;108(2). URL: http://www.pediatrics.org/cgi/content/
From the Departments of *Pediatrics and of ‡Epidemiology and Biostatistics, McGill University Faculty of Medicine, Montreal, Canada; §Bureau of
Reproductive and Child Health, Health Canada, Ottawa, Canada; \Department of Pediatrics, Dalhousie University Faculty of Medicine, Halifax, Nova
Scotia, Canada; and the ¶Epidemiological Research Unit on Perinatal and
Women’s Health (INSERM), Villejuif, France.
Drs Kramer, Platt, and Abrahamowicz are career scientists of the Canadian
Institutes of Health Research.
Received for publication Aug 21, 2000; accepted Apr 9, 2001.
Address correspondence to Michael S. Kramer, MD, 1020 Pine Ave W,
Montreal, Quebec, Canada H3A 1A2. E-mail: michael.kramer@mcgill.ca
PEDIATRICS (ISSN 0031 4005). Copyright © 2001 by the American Academy of Pediatrics.
full/108/2/e35; fetal growth, birth weight, gestational age,
preterm birth, postterm birth.
ABBREVIATIONS. SD, standard deviation; LGA, large for gestational age; SGA, small for gestational age.
F
or more than half a century, clinicians and investigators have proposed reference data for
assessing birth weight for gestational age.
These references have been used by clinicians and
researchers to assess fetal growth in individual infants and in populations.1 Unfortunately, none of the
available references are entirely satisfactory. Some
are hospital-based,2–7 giving rise to potential selection bias and problems of generalizability, particularly in view of the low2,6,7 or high4,5 socioeconomic
status or high altitude2 that characterizes some of the
study hospitals; others are prescriptive rather than
descriptive, ie, they are based on infants without
known risk factors for impaired fetal growth and
thus may not be applicable to populations with mixtures of low- and high-risk pregnancies.8,9 Some are
unisex references that fail to account for the known
larger birth weight for gestational age in male versus
female infants3,4,6,10; others11,12 go to the opposite
extreme and provide curves that are specific for different races, parity, maternal size, and other customizing features for which available data do not permit
confident inferences as to whether variations in fetal
growth are physiologic or pathologic. Finally, some
references are now several decades old and may no
longer be pertinent to infants born in more recent
years, given the increase in the size of infants born at
or near term over the last several decades.
The largest problem with existing references for
birth weight for gestational age, however, relates to
the measurement of gestational age. Early references
rounded gestational age to the nearest week,2– 6
rather than truncated to completed weeks. Although
this practice makes sense from a biological standpoint, it is not consistent with World Health Organization (WHO; International Classification of Diseases) recommendations to base gestational age on
the number of completed weeks, and references
based on the nearest week cannot be applied to populations complying with the WHO recommendations. But even when measured in completed weeks,
gestational ages in older references are flawed by
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PEDIATRICS Vol. 108 No. 2 August 2001
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being based on the date of onset of the last menstrual
period,2– 6,10,13–16 which has been shown to grossly
overestimate the proportion of infants with postterm
gestational ages and underestimate those born preterm when compared with early ultrasound measurements.17 This leads to artifactually wide, or even
bimodal, distributions of birth weight at very low
gestational ages, and flattening or declining curves
postterm, despite the use of various statistical or
clinical methods for excluding biologically implausible combinations of birth weight and gestational
age.10,14,16,18,19 Finally, sample sizes for many references are too small, particularly at low gestational
ages, leading to irregularity and even nonmonotonicity in the shape of fetal growth curves at these low
gestational ages. Some recent references have not
smoothed the curves to correct these irregularities.20,21
In this study, we have attempted to overcome
these previous deficits by constructing a sex-specific
reference of birth weight for gestational age that has
several advantages over existing references. It is
based on a linked live birth-infant death file for all
infants born in all of the Canadian provinces and
territories (with the exception of Ontario) born between 1994 and 1996, during which time gestational
ages have reflected the increasing use of early ultrasound for gestational age estimation. Gestational age
is measured in completed weeks, and we have used
a new mixture distribution method to exclude infants with implausible gestational ages. This results
in smooth, monotonic curves with biologically sensible distributions at all gestational ages. We present
both a graphical depiction and a tabular representation of means, standard deviations (SDs), and the
3rd, 5th, 10th, 50th (median), 90th, 95th, and 97th
percentiles in the hope that they will be useful to
clinicians in classifying fetal growth of newborn infants under their care and of stillbirths, and to researchers and public policy makers in comparing
geographic differences and temporal trends in birth
weight for gestational age in populations.
METHODS
The references we constructed were based on all births contained in the linked file of live births and infant deaths occurring
in the provinces and territories of Canada (with the exception of
Ontario) born between January 1, 1994, and December 31, 1996.
(The linked file was used, rather than the entire Canadian Birth
Database, because the linkage procedure allowed elimination of
several duplicates contained in the Birth Database.) Ontario was
excluded from the study population base for constructing these
references because of documented problems with data quality.22
Canadian birth certificates include gestational age recorded in
completed weeks. Although no information is contained on the
birth certificate about the method used to assess gestational age,
nor documentation of the dates and results of ultrasound estimates, careful evaluation of these data over several decades
strongly suggests that early ultrasound has increasingly been the
basis for gestational age assessments in recent years.23,24 No information on racial origin is contained on Canadian birth certificates.
Our proposed reference is based on singletons with recorded
gestational ages of 22 to 43 weeks. The reference sample comprises
347 570 males and 329 035 females. We used a mixture distribution
method for correcting gestational age errors, a modification of the
procedure described by Oja et al.25 The model of Oja et al assumes
a log normal distribution of birth weight at each gestational age
2 of 7
and errors of 14 weeks or 24 weeks. As assumed in previous
studies12,16 and as confirmed by ultrasound-based estimated fetal
weights,26 our method assumes that the true distribution of birth
weight at each gestational age is normal (Gaussian). We also
assume that the observed gestational ages are a mixture of correct
values and of term (40-week) gestations erroneously measured at
the observed (recorded) gestational age. This latter assumption is
consistent with the frequently observed curve “bump” at the
upper percentiles for extremely preterm infants.10,14,16
We used the estimation-maximization algorithm27 to derive
maximum likelihood estimates of the mean and SD and of the
probability that the true gestational age of an individual infant
was the observed (recorded) gestational age rather than 40 weeks.
Starting values for the mean and SD parameters were estimated
from the lower half of the observed distribution of birth weight for
gestational age (which should not be affected by misclassifying
infants born at term as extremely preterm). We then resampled all
observations. This resampling resulted in either maintaining the
infant in the dataset with the recorded gestational age or deleting
that infant, with the probability of deletion equal to the estimated
probability that the true gestational age was 40 weeks. Finally, the
percentiles of the birth weight distribution at the corrected gestational ages were generated using a smoothing spline with 7 degrees of freedom,28 weighted by the square root of the (corrected)
number of infants at each gestational age.
Tables and graphs were created separately for males and females for the 3rd, 5th, 10th, 50th (median), 90th, 95th, and 97th
percentiles at 22 to 43 completed weeks, based on the smoothed
estimated curves, and for the mean and SD calculated from the
empirical distribution of birth weights after correction. The means
and SDs are also tabulated to allow calculation of z scores rather
than (or in addition to) percentiles, where
z5
observed birth weight 2 mean birth weight
SD
RESULTS
Tables 1 and 2 show the 3rd, 5th, 10th, 50th (median), 90th, 95th, and 97th percentile; mean; and SD
birth weights for male and female infants, respectively. Figures 1 and 2 show the crude percentile
graphs, and Figs 3 and 4 show the curves produced
after correcting the gestational ages and smoothing
the resulting birth weight distributions. The crude
curves show a convex “bump” in the upper percentiles at 27 to 33 weeks, consistent with our model’s
assumption that some truly term births are misclassified at these (grossly underestimated) gestational
ages. The corrected curves are smooth and evenly
spaced and show no biologically implausible bumps
preterm or flattening or declines postterm. Moreover, each of the percentile curves shows the expected sigmoid shape, with birth weight increasing
monotonically as gestational age advances. The
smoothed curves closely follow (within limits of random error) the empiric birth weight distribution at
each (corrected) gestational age. For example, at 30
weeks, the 90th percentile curve cuts off 91.4% of
males and 87.7% of females in our data set. At 42
weeks, the 10th percentile curve cuts off 10.4% of
males and 10.2% of females.
Figure 5 illustrates how our procedure has corrected the crude curves at 30 weeks’ gestation (for
males). At low percentiles, the curves before and
after correction are virtually identical, but starting at
the 90th percentile, and especially at the 95th and
97th percentiles, the cutoffs after the correction are
substantially lower.
Table 3 compares our new proposed reference
(based on the corrected curves) with 4 population-
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TABLE 1.
Gestational
Age
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
Birth Weight (g) for Gestational Age, Canadian Male Singletons Born Between 1994 and 1996, Corrected and Smoothed
n*
82
114
156
202
234
254
330
392
467
584
997
1368
2553
4314
9648
19 965
51 947
77 623
112 737
54 139
8791
276
3rd
Percentile
5th
Percentile
10th
Percentile
50th
Percentile
90th
Percentile
95th
Percentile
97th
Percentile
Mean
SD
338
406
468
521
571
627
694
780
885
1012
1164
1344
1552
1783
2024
2270
2498
2684
2829
2926
2960
2954
368
434
498
557
614
677
752
845
959
1098
1266
1460
1677
1907
2144
2384
2605
2786
2927
3025
3070
3081
401
475
547
617
686
763
853
964
1099
1259
1444
1648
1866
2091
2321
2552
2766
2942
3079
3179
3233
3249
490
589
690
795
908
1033
1173
1332
1507
1698
1906
2127
2360
2600
2845
3080
3290
3465
3613
3733
3815
3864
587
714
844
981
1125
1278
1445
1629
1837
2069
2319
2580
2851
3132
3411
3665
3877
4049
4200
4328
4433
4528
627
762
902
1048
1200
1358
1532
1729
1955
2209
2478
2750
3029
3318
3604
3857
4065
4232
4382
4512
4631
4747
659
797
940
1092
1251
1416
1598
1809
2053
2327
2614
2897
3184
3475
3759
4003
4202
4361
4501
4631
4773
4941
501
598
697
800
909
1026
1159
1312
1487
1682
1896
2123
2361
2607
2855
3091
3306
3489
3638
3745
3800
3793
111
114
125
147
178
209
241
273
306
339
369
391
410
428
443
449
448
445
447
459
485
527
* Sample size at each gestational age after exclusions.
TABLE 2.
Gestational
Age
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
Birth Weight (g) for Gestational Age, Canadian Female Singletons Born Between 1994 and 1996, Corrected and Smoothed
n*
80
106
148
184
191
188
287
299
390
461
795
1055
2018
3391
8203
17 308
47 516
75 068
110 738
52 063
7970
277
3rd
Percentile
5th
Percentile
10th
Percentile
50th
Percentile
90th
Percentile
95th
Percentile
97th
Percentile
Mean
SD
332
379
424
469
516
569
634
716
814
938
1089
1264
1467
1695
1935
2177
2406
2589
2722
2809
2849
2862
347
403
456
508
562
624
697
787
894
1026
1184
1369
1581
1813
2052
2286
2502
2680
2814
2906
2954
2975
385
450
513
578
645
717
802
903
1022
1168
1346
1548
1768
1998
2227
2452
2658
2825
2955
3051
3114
3159
466
557
651
751
858
976
1109
1259
1427
1613
1817
2035
2266
2506
2744
2968
3169
3334
3470
3576
3655
3717
552
669
790
918
1060
1218
1390
1578
1783
2004
2242
2494
2761
3037
3307
3543
3738
3895
4034
4154
4251
4333
576
706
839
982
1139
1313
1499
1701
1918
2150
2399
2664
2948
3242
3523
3752
3931
4076
4212
4330
4423
4495
576
726
887
1060
1247
1446
1657
1885
2121
2347
2578
2825
3097
3384
3660
3886
4061
4202
4331
4444
4554
4685
472
564
656
754
860
976
1107
1256
1422
1604
1808
2029
2266
2512
2754
2981
3181
3350
3486
3588
3656
3693
72
95
121
152
186
222
254
286
319
345
368
389
409
426
439
443
439
434
434
439
448
459
* Sample size at each gestational age after exclusions.
based references: 1 from Canada (Arbuckle et al20)
and 3 from the United States (Williams et al16 [white
non-Hispanics only], Zhang and Bowes12 [whites
only], and Alexander et al19). Tabulated values for
the Canadian reference were provided by Statistics
Canada (Russell Wilkins, Health Analysis and Modeling Group, Statistics Canada, Ottawa, Ontario, personal communication). The comparison focuses on
the 2 sensitive regions mentioned earlier: the 90th
percentile (the conventional large-for-gestational-age
[LGA] cutoff) at 30 weeks, and the 10th percentile
(the conventional small-for-gestational-age [SGA]
cutoff) at 42 weeks. Each of the previous references
uses a correction procedure to reduce errors in pre-
term gestational age estimates, but each is characterized by residual bumps preterm and/or flattening or
declining curves postterm. Our curves yield the lowest LGA cutoff at 30 weeks, with differences as large
as 900 g. Our curves also yield the highest SGA cutoff
at 42 weeks, with differences up to 400 g. All 4 of our
cutoffs, however, are close to those of the earlier
Canadian reference by Arbuckle et al.20 The mean
values also differ at these gestational ages. Our reference mean for males is 1487 g at 30 weeks and
3800 g at 42 weeks. The corresponding figures for
Williams et al16 are 1537 and 3665 g; for Zhang and
Bowes,12 1653 and 3548 g; and for Alexander et al,19
1637 and 3522 g.
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Fig 1. Canadian
crude curves.
male
singletons,
Fig 2. Canadian
crude curves.
DISCUSSION
The reference curves and tables presented herein
differ in several important respects from those currently available. Their main advantages include their
recent vintage; population base; increased reliance
on early ultrasound-based estimates of gestational
age; statistical modeling of gestational ages to correct
biologically implausible values (based on the observed and expected birth weights); sex-specificity;
and adaptability to the use of either percentiles or z
scores. This reference differs from others currently
available in showing lower means and particularly
upper (90th, 95th, and 97th) percentile birth weights
at low gestational ages, as well as higher birth
weights (particularly at the 10th, 5th, and 3rd percentiles) for gestational age in the postterm period.
4 of 7
female
singletons,
The absence of a downturn in the curves in the
postterm period is consistent with evidence based on
early ultrasound-based gestational ages.29,30 Our reference also differs from older references by reflecting
the recent temporal trend toward increasing birth
weight at or near term.
This new reference should prove helpful for several types of users in developed country settings. For
clinicians, it enables better classification of individual
infants as small, appropriate, or large for their gestational age. It should prove useful for clinicians
caring for extremely preterm infants in whom unexpectedly high birth weights should lead to skepticism about the reported gestational age. It should
also be reassuring to prenatal care providers by eliminating the impression that fetuses fail to gain, or
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Fig 3. Canadian male singletons, corrected and smoothed curves.
Fig 4. Canadian female singletons,
corrected and smoothed curves.
even lose, weight postterm. For researchers, this new
reference should allow better classification of groups
of infants for determination of geographic differences, temporal trends, etiologic determinants, and
short- and long-term prognosis. For public health
policy makers, the reference should be useful in
surveillance, ie, in tracking population differences
by geographic location, socioeconomic status, race/
ethnicity, and other relevant factors, as well as in
tracking trends over time and in response to educational or other public health interventions.
Despite the advantages of our new reference over
its predecessors, several limitations should be acknowledged. First, like any purely statistical correction procedure, our method compares poorly with
early ultrasound for valid estimation of the true gestational age.17 In particular, early ultrasound corrects
last menstrual period-based estimates by a systematic shift to the left (ie, toward lower gestational ages)
across the entire gestational age distribution, primarily because of the effect of delayed ovulation.31 Our
method, however, corrects only gross errors by excluding preterm (and some postterm) infants whose
birth weights are more compatible with 40-week
births. We have also experimented with more complex statistical corrections (eg, 61, 2, 4, and 8 weeks),
but the more complex algorithms are far more computer-intensive, result in many more exclusions, and
do not substantially alter the slopes or SGA or LGA
cutoffs of the reference curves.
The most important limitation of all populationbased references, including ours, is their cross-sectional nature, ie, they are based on the birth weights
of different infants born at different gestational ages,
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Fig 5. Birth weight distribution at 30 weeks, male
singletons, before and after correction.
TABLE 3.
Comparison of Key Birth Weight Cutoffs (g),
Proposed New Reference Versus Four Previous References
Reference
Proposed reference
Arbuckle et al20
Williams et al16
Zhang and Bowes12
Alexander et al19
LGA
(90th Percentile)
at 30 Weeks
SGA
(10th Percentile)
at 42 Weeks
Male
Female
Male
Female
1837
1870
2159
2355*
2710†
1783
1800
2113
2288*
2710†
3233
3200
3086
2835*
2998
3114
3070
2936
2735*
2884
* Average of values for primiparas and multiparas.
† Sex-specific value not reported.
rather than longitudinal measurements of the same
infants over the course of gestation.32 Growth is defined as an increase in size over time, and documentation of increasing size therefore requires 2 or more
serial measurements. Unfortunately, serial anthropometric measurements during fetal life are feasible
only with ultrasound, and these have not proved to
be sufficiently valid or precise to serve as a reference.33–35 The substitution of cross-sectional for longitudinal data on fetal growth is a problem, because
evidence suggests that preterm infants are somewhat smaller than fetuses of the same gestational age
who remain in utero.36 –39 This problem may partly
reflect the fact that some of the determinants of fetal
growth and gestational duration overlap. Pregnancyinduced hypertension and preeclampsia, for example, are risk factors for both intrauterine growth restriction and both spontaneous and induced preterm
delivery.39 – 42 At or after term, fetuses who remain
unborn may not have grown at the same rate as those
born earlier; because fetal size is considered to be one
of the determinants of the onset of labor, cross-sectional data may reflect the earlier birth of fastergrowing fetuses.1
If and when ultrasound technology improves to
permit more valid and reliable measurements of fetal
weight and other anthropometric measurements in
utero, a truly longitudinal fetal growth reference will
be feasible. Other future changes may also require
modification or replacement of our reference. Temporal trends toward increasing maternal prepregnancy weight and weight gain during pregnancy,
maternal stature, and reductions in cigarette smok6 of 7
ing will probably continue to increase the size of
infants born at or near term. Finally, the increasing
trend toward obstetric intervention to hasten delivery for pathologic pregnancies in the preterm period,
and in response to signs of slow growth or other fetal
compromise in the postterm period, may continue to
affect the shape of the growth curve at these periods
of gestation.
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A New and Improved Population-Based Canadian Reference for Birth Weight
for Gestational Age
Michael S. Kramer, Robert W. Platt, Shi Wu Wen, K.S. Joseph, Alexander Allen,
Michal Abrahamowicz, Béatrice Blondel, Gérard Bréart and for the Fetal/Infant
Health Study Group of the Canadian Perinatal Surveillance System
Pediatrics 2001;108;e35
DOI: 10.1542/peds.108.2.e35
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PEDIATRICS is the official journal of the American Academy of Pediatrics. A monthly
publication, it has been published continuously since 1948. PEDIATRICS is owned, published,
and trademarked by the American Academy of Pediatrics, 141 Northwest Point Boulevard, Elk
Grove Village, Illinois, 60007. Copyright © 2001 by the American Academy of Pediatrics. All
rights reserved. Print ISSN: 0031-4005. Online ISSN: 1098-4275.
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A New and Improved Population-Based Canadian Reference for Birth Weight
for Gestational Age
Michael S. Kramer, Robert W. Platt, Shi Wu Wen, K.S. Joseph, Alexander Allen,
Michal Abrahamowicz, Béatrice Blondel, Gérard Bréart and for the Fetal/Infant
Health Study Group of the Canadian Perinatal Surveillance System
Pediatrics 2001;108;e35
DOI: 10.1542/peds.108.2.e35
The online version of this article, along with updated information and services, is
located on the World Wide Web at:
/content/108/2/e35.full.html
PEDIATRICS is the official journal of the American Academy of Pediatrics. A monthly
publication, it has been published continuously since 1948. PEDIATRICS is owned,
published, and trademarked by the American Academy of Pediatrics, 141 Northwest Point
Boulevard, Elk Grove Village, Illinois, 60007. Copyright © 2001 by the American Academy
of Pediatrics. All rights reserved. Print ISSN: 0031-4005. Online ISSN: 1098-4275.
Downloaded from by guest on October 24, 2016