PATTERNS
OF
SKELETAL
DEVELOPMENT
IN
THE
HAND
886
PEDIATRICS, November, Part II, 1959
S. Idell Pyle, Ph.D., Robert B. Reed, Ph.D., and Harold C. Stuart, M.D.
INTRODUCTION
T
HE PRECEDING paper in this series hasprovided much background for this
re-port which deals with skeletal development.
Like others in this series, it is based on
individual case studies started at the
Har-vard School of Public Health in 1930 by one
of the authors (H.C.S.) and continued until
the collection of data on the children
sub-sequently enrolled was completed in 1956.
These studies were conducted throughout
by a staff representing several disciplines
and such a staff is continuing the evaluation
of the extensive records in hand. A
Mono-graph published in 1939k gave in detail an
account of the technical procedures
estab-lished during the early years for the
secur-ing of roentgenograms, many of which were
continued throughout.
The present paper deals only witil
“skele-tal age (hand)” as determined from
roent-genograms, hereinafter referred to as
radio-graphs. It is based on the study of 133
chil-dren, 66 boys and 67 girls, referred to in this
and other papers as the Maturity Series,*
who were followed periodically from birth
to their eighteenth year. Radiographs of the
hand were taken on these children in
con-nection with all scheduled examinations
be-tween 1 and 18 years. Films from larger
samples of children followed similarly from
birth for shorter periods are available but
are not considered in this paper.
Radio-graphs of other centers of skeletal growth
also are available for the same children at
the same ages and will permit studies of the
degree of symmetry or uniformity in
pat-terns of skeletal maturation in the foot and
other areas.
The reasons for seeking further basic
in-* Films of the hand of one additional boy in
this series were not available for assessment after the standard of reference’ selected for this Study was published.
formation as to the progress of skeletal
maturation in children are becoming
in-creasingly clear. This is particularly true in
respect to differences between children in
their developmental levels and rates of
prog-ress at successive age periods. It is known
that children differ greatly in the age at
which they reach any given developmental
step or stage of maturity and in the speed
at which they progress from one to another.
Information as to the latter is meagre
be-cause it can be obtained only by repeated
observations of tile same children at
succes-sive ages. It is recognized also that the
indi-vidual manifestations of a child’s level of
de-velopment in its various aspects and
suc-cessive stages are often more consistently
related to each other than to group norms
for chronological age.2 The interpretation of
findings which relate to the growth and
de-velopment of individual cilildren is often
difficult, if those findings are considered
only in terms of the child’s chronological
age. They may be more readily understood
if they are related, instead, to the child’s
stage or level of development. This has been
found to be especially true during the
period when early adolescent changes begin
to manifest themselves.
The principal objective of tilis report is to
demonstrate the types and amounts of
vari-ability between children, as well as
tue
con-sistencies manifest by individuals in the
course of the skeletal maturation of the
hand. Later publications dealing with
inter-relationships between given patterns of
skeletal development and various other
as-pects of growth, development and health
will illustrate further the value of knowing
more about the varieties of patterns of
skele-tal development and the differences in
de-gree of overall uniformity which occur in
tile development of individuals.
each of 133 children according to their rate
of progress in “skeletal age (hand)” or
changes in rate with age as compared with
the norms of this group. Having identified
tile various patterns followed by individual
children, those whose curves were
suffi-ciently similar in shape to conform to a
de-fined patterii have been grouped together
and the numbers conforming to each group
have been tabulated. The characteristics of
each child’s progress are reflected in the
shape or pattern of the curve produced
\vilen his skeletal ages (hand) have been
plotted against chronological ages.
PROCEDURES FOLLOWED IN THE
ASSESSMENT OF RADIOGRAPHS
During the early years of this project the
radiographs of the hand were evaluated by
V. Vickers using the provisional maturity
in-dicator scale prepared by T. W. Todd for the
White House Conference of 1930. The method
adopted was to compare each film with the
standard for age nearest to that of the child’s
chronological age when the film was made. In
a report b \‘ogt and \‘ickers in 1938,
draw-ings of three levels of skeletal development
of the hand and foot and of selected maturity
indicators used to identify the level of
develop-ment of individual l)ones were presented for
each sex at each age studied. Later Vickers
(Harding) modified her methodology, assigning
each film to 1 of 6 categories of level of
ad-vancement based upon chronological age. The
description of this method and the results of
her studies were published in 1952. It was
found that a high percentage of children
main-tained the same or next adjacent rating, as
determined at 2-year intervals, from birth to
10 years. The number of cases available at that
time did not permit presenting distributions
of the ratings for each age.
Since 1949 all radiographs of all children
from birtll to 18 years have been evaluated in
accordance witil the method of skeletal
ma-turity assessment described by Greulich and
Pyle in their Atlas first published in 1950 and
recently revised.6 This method represents an
extension of One originally demonstrated by
Todd in au Atlas published in 1937. in 1955
Pyle and Hoerr published an Atlas applying the
same method to the assessment of radiographs
of the knee8 and a similar Atlas by the same
authors for use in assessment of the foot is
now in preparation for pubiication.*
The fact that all assessments in this Study
were made by the same person using the same
techniques helps to insure the uniformity in
the procedure followed from age to age and
from child to child and the comparability of
the assessments themselves. The method
con-sists first in assigning a “bone age” to each bone
growth-center visible in the radiograph. This
assignment is on the basis of the presence in
the center of specific morphological features
which indicate its developmental status. These
features, the so-called “maturity indicators,” are
pictured seriatim in the Atlas,6 together with
numbers of the standard plates in which the
indicator is seen. The method involves also
assigning a skeletal age to the hand as a whole,
based upon the bone ages of each relevant
cen-ter and on a comparison of the hand as a whole
with the standard radiographs reproduced in
the Atlas.
Each film of a child under study by this
method is compared with the standard films
from which two or three consecutive standard
films are selected as being closest to and
bound-ing the apparent developmental level of the
film in question. If the skeletal development
of the hand-film to be assessed does not
cor-respond exactly to that of any one of the stand-ards with which it is being compared, a skeletal
age appropriately intermediate between the
two standards which it most closely resembles
can be assigned to it. Thus, the “skeletal age”
assigned to a hand-film is not an arithmetic
average of the separate bone ages. It represents
rather a judgment as to the overall stage of
de-‘elopment of the region, taking into account
the symmetry or lack of symmetry of
develop-ment in the various centers. In many cases
there is little or no difference between the
“skeletal age” thus assigned and the average of
the “bone ages.”
The major difference between the two
pro-cedures lies in the importance attached to the
“bone age” of centers which are in the early
* Acheson’#{176} has described a basically different method for assessing skeletal maturity which
pro-vides a numerical score rather than a bone age or
skeletal age to represent the developmental status revealed in any radiograph. This procedure is
com-monly referred to as the “Oxford Method” to
stages of ossification. Variations betwen
chil-dren in age of first appearance of centers of
ossification are far wider than they are at later
stages of their development. This suggests that
at the time of onset of ossification a center is
subject to influences which may temporarily
af-fect its rate of development, but which may not
affect the process of osseous development
gen-erally. Under these circumstances, assigning the
same weight to a very immature center as to
more mature ones may result in an erroneous
appraisal of the child’s skeletal development.
Consequently, the practice which was followed
was to assign less weight to the bone ages of
very immature centers than to that of those
centers which were farther advanced in their
development.
In only a few instances in this Study was the
complete series of films of a child assessed in
its entirety at one time. The more common
pro-cedure was to assess only a few films of a series at one time and to assess others subsequently.
None of the skeletal ages used in this paper
were re-assessments or corrections made after
the original skeletal ages were assigned.
Al-though occasional corrections on re-assessments
might have been appropriate, this rule was
adhered to in order to assure that each skeletal
age assigned was based objectively on the
radiograph alone. Re-assessments, however,
were made from time to time, even though the
new values were not used. The authors believe
that such periodic checking for reliability by
re-assessment is essential to assure consistency
by any single observer and has helped greatly
to keep biases to a minimum.
DISTRIBUTION OF SKELETAL AGES BY
SEX AND CHRONOLOGICAL AGE
After each child’s series of radiographs
had been assessed, the mean and standard
deviation were calculated for the boys and
for the girls at each age. These values are
shown in Table I. They provide measures
of the central tendency and variability in
skeletal development for this group of
chil-dren. Graphs of the values of the means and
1 standard deviations are shown in Figure 1,
which is presented primarily to permit
recognition of differences in this particular group.
The numbers of infants for whom values
for the mean and standard deviation are
given in Table I at ages 3, 6 and 9 months
are considerably less than 66 boys and 67
girls in this Study because in their early
years radiographs were not made at these
ages. The number of males contributing to
the group values at ages fiom 1 to 16 years
and of girls 1 to 13 years, inclusive, differ
only slightly from the expected number, the
differences representing missed exam
na-tions. It is an indication of the
complete-ness of these case studies, of 66 boys
sched-uled for 21 examinations between 1 and 16
years, inclusive, no boy was missed at five of
the scheduled ages and at no age were more
than four missed. Of the total possible
ra-diographs of boys at these scheduled
ex-aminations only slightly over 1% were
missed. Similarly, out of 18 scheduled
ex-aminations for 67 girls, ages 1 to 13 years
inclusive, at eigilt ages no examination was
missed and at no age were more than two
missed, with the result that kss than 1
of the total possible radiographs of the
hand were missed.
The number of boys and girls included
in Table I decreases after 16 years for boys
and 13 years for girls. This is not primarily
because radiographs are unavailable, but
rather because advanced individuals had
attained skeletal ages at or so near to the
mature (i.e. upper) end of tile standard
that they could not be used in computing
these statistics. For example, a girl who had
attained a skeletal age of 18 at 14 years
would be fully mature in this aspect of the
hand at 15, 16, 17 and 18 years. Therefore,
these advanced cases were omitted from the
calculations after the last age at which they
could be used for these statistics.
The numbers of individuals included in
Table I are sufficient at all ages through 15
years for girls, and 17 years for boys, to
ob-serve the nearness of the means to the
standard of Greulich and Pyle.6 At these
ages, osseous stage of development in the
hand is nearing completion. Comparing the
mean values, which are expressed in
months of skeletal age, with the
chronologi-cal ages in months gives an indication of
18H
Boys GirlsH - Mean
161 Mean ±
14
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2 4 6 8 10 12 14 16 18
CHRONOLOGICAL AGE (Years)
Fic. 1. Values for the mean and 1 standard deviation for “skeletal age (hand)” plotted against chronological age for boys and girls derived from Table I.
boys and girls and the groups on which
the standards were based. It may be noted
that for boys tile mean ages, as given in
Table I, were slightly ahead of the
stand-ard at each age from 3 months to 1 year,
inclusive, and from H years through 17
years. In contrast, they were always at or
behind the standard during the intervening
period, 18 months to 10 years. The amount
of advancement during the first year was
never a full month and from 11 to 16 years
was never more than 1 month, only at 17
years reaching 2 months. In the intervening
period, however, it was somewhat delayed,
being 4 months behind at each age from
4% to 9 years, inclusive. For girls, the means
were always somewhat behind from 2
through 10 years, and thereafter always
ahead except at 18 years. It is believed that
the differences shown in these Figures are
attributable to the composition of the
re-spective samples and not to personal
differ-ences in the appraisals, as discussed
previ-ously. Tile indications are that the sample
as a whole was somewhat advanced over
the standard in infancy, became relatively
delayed for most of childhood and then
became advanced in adolescence. However,
at no age are these differences in
them-selves statistically significant. As would be
expected, the standard deviations shown in
Table I increase gradually with age until
full skeletal maturity in the hand is being
attained by more and more children. These
features of the values for this group of
chil-dren are shown graphically in Figure 1.
Figure 2 is constructed as in Figure 1,
but gives only the norms for boys as
back-ground for the presentation of the “skeletal
age (hand)” curves for 4 boys in this series.
Boys 253 and 130 show very consistent
po-sitions throughout the whole age period in
relation to the standard. Yet they are far
apart, 253 always being very advanced
while 130 is usually delayed more than 1
BOYS
Mean ±
a-Contrasting Cases
253
-188 -133
-130
18
16
-14
-12
-10
-
8-
6-4
2-U) 0 a,
>-Ui
ci
-j
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(I)
0 2 4 6 8 10 12 14 16 lB
CHRONOLOGICAL AGE (Years)
Fic. 2 Values for the “skeletal age (hand)” for four boys plotted against
chrono-logical age and against values for the mean and 1 standard deviation for the
boys in the “Maturity Series.” The boys represent selected patterns, namely, consistently “advanced,” consistently “delayed,” “fast” to “slow,” and “slow”
to “fast.”
I I I I I I I I I I 1 1 1
890
contrast, change positions markedly with
age. Both start in infancy well within the
range and end at 17 years close together
near the mean. They become far apart in
the intervening years, at 9 years of age
being separated by 53 months in
skeletal-age ratings, 188 being far above the +1
sigma and 133 below the -1 sigma. In the
classification to he discussed below, case
188 has been assigned to a fast-slow pattern
and 133 to a slow-fast one, which terms
describe their essential differences in rates
of progress. Cases 253 and 130, on the other
hand, belong to the same pattern, that of
moderate rate throughout, which in these
cases is expressed at widely different levels
of skeletal age. These cases have been
se-lected to show how different patterns of
progress relate themselves to the
conven-tional type of Figure. Subsequent Figures
will present patterns of progress in a
differ-ent manner to enable the reader to identify
more readily tile characteristics of tile rate
of progress of different individuals by age
periods and their attained levels of
ad-vancement at different ages.
THE CLASSIFICATION OF INDIVIDUALS
BY THEIR MANIFEST PATTERNS OF
SKELETAL DEVELOPMENT IN
THE HAND
The classification of the children
con-sidered in this report is based solely on the
“skeletal ages” assigned to them.* The
se-Studies have been macic on this series of chil-dren by one of the authors (Pyle) of the assigned “bone ages” and the varying “spans” between them in terms of chronological age. Consideration also has been given to the irregularities in the
891
lection of the most satisfactory method for
classifying curves according to prescribed
patterns has been difficult because of the
variety and shadings of individual
differ-ences. The method selected has the
ad-vantage of limiting the number of possible
patterns to workable limits for charting,
re-porting and studying interrelationships, yet
it permits application of rules which can be
followed with reasonable precision and
leaves few children who must be excluded
as irregular or unclassifiable. The authors
believe that the patterns selected are
ade-quate to reveal sharply contrasting courses
of skeletal development followed by
mdi-viduals and to indicate their relative
fre-quencies in the two sexes.
Method of Identifying Patterns
The first step in identifying and selecting
patterns and assigning cases to them was to
plot all values for skeletal age for all individuals
in the Maturity Series on separate graphs. The
form of graph used will be described more
fully in the presentation of the Figures which
follow. The 0 line on this graph represents the
standard of reference of Greulich and Pyle.
Months of skeletal age advancement are plotted
above, and of delay below, this line. The values
for the mean and 1 standard deviation for tile
sex to l)e represented by the grapil, derived
from the values in Table 1, are plotted
verti-cally against chronological age in years.
Classi-fication of these cases is based upon
compari-son of tile cilild’s curve with the lines
represent-ing the means and standard deviations of this
group of children. With the standard-range
graphs in hand each case has been plotted on
a separate one for its appropriate sex. In
ap-plication, the means and standard deviations
hands of individuals at succeeding ages. Also, the concept of the most advanced versus the least
ad-vanced center has been applied according to a
procedure previously described” by her and Some
study has i)ecn made of the extent of variability in
the progress of individual centers, and hence of
their relative predictive values. Reports of these studies irnist await their further application ad analysis.
Pyle has discussed existing standards of reference
constructed somewhat as were the Atlases of Todd
and of Greulich and Pyle and pointed out the
similarities as well as differences between them.”
shown in these Figures were not drawn on each
chart, but rather on fitting-transparencies which
were used as overlays when assigning each case
to its appropriate pattern. Rules were adopted
governing the limits of variability on the part of any case for it to be assigned to a pattern.
The second step was to study the graph of
each case, using the norms on the overlay as
the lines of reference, and to record rates or
changes in rates by age periods as “moderate,” “fast,” “slow” or “irregular.” Levels of
advance-ment were also recorded under this step but
these ratings were not used in the final
selec-tion of patterns. As a result of this appraisal,
a list of permissible patterns was drawn up and
the following plan for sorting of cases and
as-signment of each to a pattern was adopted. The
age period used for the selection of patterns has
been from 1 year to 17 for boys and to 15 for
girls, for which satisfactory norms are available.
Skeletal ages available for chronological ages
below and above these limits have been plotted
but not taken into account in applying the rules
governing pattern assignment. Not only are
the norms considered inadequate for
classifica-tiori at these ages, but many of the centers of
growth in the bones of the hand are still
en-tirely cartilaginous at the initial stage and
abruptly become fully mature at the terminal
one. Irregularities in these complicate and
con-fuse appraisals of the pattern during the long
mid-portion of the postnatal osseous stage of
development.
The third step was to select and classify a
group of patterns which appeared to be
realis-tic and adequate on the basis of a preliminary
survey of the rates assigned to cases. A single
assignment of a rate applicable to the whole
age period being studied was made when
pos-sible under the rules, but this classified only a
minority of the cases. Further study showed
that a considerable number of curves differed
in rate in two periods, that is the curves were
dichotomous. The cases not fitting the first
screening were therefore rescreened separately
for two periods. A third screening was then
carried out Ofl the remaining cases to select
those which were trichotomous in respect to
rates of progress. Tllese three procedures
to-gether made it possible to classify most cases
according to their patterns of progress and the
few remaining were assigned to irregular
cate-gories. The procedures followed are described
TABLE I
MEANS AND STANDARD DEVIATIONS FOR SKELETAL AGE (HAND)
-1ge
(month.,)
Boys
(years) No. Mean
‘Standard Deviation Girls .l!ean No. Standard Derial ion 3 6 9 18 124 so 36 412 48 54 60 66 712 84 96 108 l12() 1312 144 156 168 180 1912 1204 1216 I 12 3 4 .5 6 8 10 14 16 18 43 47 46 66 67 67 67 67 67 65 64 64 64 66 66 63 63 63 65 64 66 65 65 65 60 37 3.4 6.5 9.7 112.7 17.5 1212.6 128.1 33.8 39.5 44.8 50.3 56.12 612.4 68.4 80.6 912.5 104.9 118.0 1312.1 144.5 156.4 168.5 180.7 193.0 1206.0 12112.8 1.7 12.0 12.4 ‘2.1 12.7 4.0 5.4 6.0 6.6 7.0 7.8 8.4 9.1 9.3 10.1 10.8 11.0 ll.4 10.5 10.4 11.1 112.0 14.12 15.1 15.4 112.12 50 50 53 65 66 66 65 66 66 67 67 67 67 67 67 67 67 66 66 66 66 63 61 57 47 ‘212 12.9 5.9 9.5 112.7 18.4 ‘23.7 129.0 34.5 40.6 46.4 512.3 58. 1 63.9 70.4 812.0 94.0 105.9 119.0 1312.9 147.12 160.3 17’2 .4 184.3 196.7 ‘205.1 ‘211.5 1.1 1.7 12.1 ‘2.7 3.4 4.0 18 5.6 6.5 7.12 8.0 8.6 8.9 9.0 8.3 8.8 9.3 10.8 112.3 14.0 14.6 112.6 11.12 10.6 8.12 5.6
Selection of Patterns and
for the Assignment of Cases
Rules Adopted
The letters (f) to denote “fast,” (m) “moder-ate” and (s) “slow” have been used throughout to classify rates by age periods, using the letter
(i) to denote “irregularity” during periods in
which a case fails to conform to one of the
primary rates. Cases within any rate category
may be predominantly advanced, moderate or
delayed in level of attained skeletal age, but
change in level only is considered, using it as
a measure of the rate which determines it. To
be “moderate” in rate, according to the rules
adopted, all skeletal ages for the individual
dur-ing the period being assigned a rating must
re-main within a zone limited by the spread of 1
standard deviation, except that single, more
irregular points bounded by regular ones may
be ignored. Occasionally 3-point smoothing has
been allowed when irregularities in adjacent
points have made recognition of changes in
rate or assignment of appropriate rate difficult.
For a rate to be described as “fast” for the
whole age period the curve must rise at least
1 full standard deviation between the
begin-ning and end of its course. Similarly, to be
“slow” it must fall to this extent.
Findings
All cases have been initially classified in
the preceding manner for the whole age
pe-riod, that is 1 to 17 years for boys and 1 to
15 for girls. This will hereafter be referred
to as Screening I. It provides three possible
patterns: I m (moderate rate throughout);
I f (fast rate throughout); and I s (slow
throughout). As a result of this first
screen-ing, it was found (Table II) that 17 boys
and 18 girls fitted one of these,
predomi-nantly pattern I m. However, many of the
* 1= first screening on basis of total age period studied. 11= second screening on basis of dichotomy of age periods.
III = third screening on basis of trichotomy of age periods.
IV
= irregular cases.f=fast rate.
m = moderate rate.
s= slow rate. r= regular.
= irregular. ** Films of hand of one boy not available.
Under patterns in the III category a change in rate was required to establish a pattern. Therefore, none are
listed in which the rate was the same during what might be viewed as first and second, or second and third, periods. Ally cases possibly falling in these categories will be found in group IV.
893
TABLE II
DISTRIBuTION OF CASES BY PATTERNS FOR Boys AND Guns
Pattern Identzfication* Number of Boys % Number of Girls %
Im
If
Is
13 0 4
14 3 1
Totals assigned in first screening 17 126 18 127
11sf lIsm Ilinf
IIfs IIfm lIms
6
3 7
3 0
5
8 3 8
3 0 4
Totals assigned on basis of two age periods ‘24 36 ‘26 39
Illmfin fmf
IIImsm sms
IIIsmf
sfm IIImsf
fins
III fsm infs IIIfsf
sfs
12 0
3
0 4
3
1 1 0 1 0 4
‘2 0
3 0
1
0 1
(
12
C 1 1
Totals assigned on basis of three age periods 19 ‘29 11 16
IV ri (irregular in second period only) IV ir (irregular in first period only) IV ii (irregular in both periods)
1 12 3
‘2 4 6
Total irregulars 6 9 112 18
GRAND TOTALS 66** 100 67 100
truly “irregular” but changed rate
some-where near the middle of these years or
about when factors associated with
begin-ning adolescence might be operative.
It was, therefore, decided to apply a
sec-ond screening, to be referred to as
Screen-ing II, to all cases rejected under
Screen-ing I, in the same manner as in Screening I
but separately for two age periods. The
first period by the definition adopted
ex-tends from 1 year to any age between 6%
SKELETAL DEVELOPMENT
boys. The second period covers the
remain-ing years. These limits were selected
arbi-trarilv with the intent of making the 2
pe-riods as nearly as possible the same
(level-opmentally for boys and for girls and to
provide sufficient range for each sex to
cover tile same developmental stage for
most early and late maturing children. In
outcome it appears that any extension of
these age limitations would not have made
it possible to add more than one or two
cases to the two age-period patterns. For
a rate to be described as “fast” or “slow” in
either age period it must change #{190}of 1
standard deviation from beginning to end
of period. This screening permitted six
pos-sible patterns, identified in Table II as II
sf, II sm, II mf, II fs, II fm and II ms; 24
boys and 26 girls fitted one of these
pat-terns, the number in each being shown in
Table II.
After further observation of the shapes
of the curves of the 25 boys and 23 girls
who failed to fit any pattern under
Screen-ings I and II, it was decided to make a
third screening (Screening III) of them on
the basis of a trichotomy of age periods,
referred to as “first,” “middle” and “last.”
No age limits were set for demarking these
periods because no sound basis for doing
so was apparent, but at least four
contigu-ous skeletal-age assessments have been
re-quired to fit a changed rate to permit
as-signment to a new rate category, and the
change need be only % standard deviation
if the trend of the curve clearly indicates a
change in the category of rate of progress.
The 12 possible patterns under this
screen-ing for change in rate between three
sepa-rate periods is shown in Table II. The
pre-fix III refers to the third screening and the
three letters following, as in tile previous
screening, to the rate assigned in order to
each of the periods; 19 boys and 11 girls
were found to fit one or other of these
pat-terns.
There remained, after carrying out these
three screening procedures, 6 boys and 12
girls whose graphs did not fit an)’ of the
possible patterns. It was found that some
of these were “regular” in the first of the
two periods used for the second screening,
hut were “irregular” during the second
pe-riod. In other cases the reverse was true
and, in the remaining, irregularities
oc-curred in both periods. Hence, in Table II
three categories of cases are listed as IV ri,
IV ir and IV ii, “r” being used as the code
letter for “regular” and “i” for “irregular.”
One boy and 2 girls were found “regular”
in the first period and “irregular” in the
second, whereas 2 boys and 4 girls were
“irregular” in the first and “regular” in the
second; 3 boys and 6 girls were “irregular”
in both periods.
After making assignments of all cases to
one of the patterns or categories described,
it was recognized that, within the limits of
irregularity allowed under the definition of
patterns, there are several cases which
show minor swings over short periods of
slower or faster rate with recovery of
for-mer status. These may prove of interest in
later studies of interrelationships. It may
be that occasional cases assigned to one of
the regular patterns represent more marked
or prolonged swings which caused them to
fit a pattern which does not truly represent
their intrinsic one. As an example, a case
assigned to I s might basically represent
I m, but delayed in the second period.
Some of these and other aspects of
indi-vidual differences will be discussed in
con-nection with the case examples of patterns
plotted in the Figures whicll follow.
DISCUSSION
Table II gives the number of boys and
of girls assigned to each of 21 possible
pat-terns under the classification adopted. It
shows that no case was assigned to three of
these patterns, that is, II fm, III fmf and
III sms. In addition no boy fitted patterns
I f, III fsm or III fsf, and no girl fitted III
sfm, III fms or III mfs. If patterns to which
not more than two children conformed
(boys and girls combined) were to be
dis-regarded, five more of the hypothetical
pat-terns would be omitted, accounting
PATTERN I m BOYS #{149}300 .228 o179 v 32 v lOb
-36 36
+24’- #24
+12
-- -‘‘
-24- -24
-36--- 2 3 4 5 6 7 8 10 1112 3141516
CHRONOLOGICAL AGE IN ‘YEARS
PATTERN Im GIRLS #{149}145 o257 v6 v288 .23
+36 - . +36
I
-+24
:2
-$2
-24 - 1_24
-36 - --- - --- _--- - I I 136
B I 2 3 4 5 6 7 8 9 10 II 2 13 14 5 16 7 8
CHRONOLOGICAL AG IN YEARS
Fic. 3 (top) Fic. 4 (bottom)
PATTERN Is BOYS .297 o99 v116 v246
+36- +36
I
Z +24 - +24
z
-
-
42O - --
-- .--- --- - -2
-24
-
-24I I I I I I I --- ‘36
B I 2 3 4 5 6 7 8 9 0 II 12 13 14 IS 16 IT 18
CHRONOLOGICAL AGE IN YEARS
PATTERN GIRLS
+36 - II o232 .233 v240 - +36
Is #{149}29 --- +24
B I 2 3 4 5 6 7 8 9 0 II 12 13 14 IS 6 Il IS -36
CHRONOLOGICAL AGE IN YEARS
-
+12-0
L-24
PATTERN II St
36r
GIRLS +163 .286 .239 +25 .59
-‘ 36
+24’- +24
CHRONOLOGICAL AGE IN YEARS
Fic. 7 (top) Fic. 8 (bottom)
PATTERN BOYS
p249 .146 -1+36
188 o22O .161
PATTERN GIRLS
11 sm +204 #{149}227 .285 Ills oI57 .166 2I7
+36 +24
+12
-O -12
-24
I 5 3 4 5 6 7 8 9 10 II 2 3 14 IS 16 17 18
Fic. 9 (top)
CHRONOLOGICAL AGE IN YEARS
Fic. 10 (bottom) 896
PATTERN II sI BOYS +111 #{149}236 ,‘93 .133
+36-- - +36
+24- ,,+-__.__,,,.
B_34:648IoIII6
CHRONOLOGICAL AGE IN YEARS
+36- lIsm Ills
S
z +12
-24-234 5 6 7 891011 12 3 4 5 16 Il
CHRONOLOGICAL AGE IN YEARS
+36
+24
-S
z z +12
-0 4 ;
o-0
-I2
The five patterns thus discarded would he
all in the III category, namely, msf, fms,
fsm, mfs and fsf. This leaves 13 patterns to
which three or more children conformed;
of these, 3 patterns belong to category I, 5
to II and 5 to III.
The most commonly encountered
pat-terns, in order of total number of cases,
boys and girls combined, are I m with 27
cases, II mf with 15 and II sf with 14. Thus,
the largest groups were either consistently
“moderate” throughout or followed a faster
pattern during the second than the first
pe-riod. Pattern II ms was followed by nine
children, the only one with more than six
children who progressed at a slower rate in
the late than in the early years. Six
chil-dren followed patterns II sm, II fs and III
msm and five followed patterns I s, III smf
and III sfs, and three or four children
fol-lowed patterns I f, III mfm and III sfm.
The ‘irregular” categories, which by
defi-nition means only that the cases assigned to
them did not fit any accepted pattern,
col-lectively account for 6 boys and 12 girls.
The most commonly encountered one was
“irregular” in both periods (ii). Irregularity
in the first period only (ir) was more
com-mon than in the second only (ri), but the
numbers in each are small. Summarizing,
therefore, in terms of number of children in
each group of patterns characterized by
sim-ilar general trends, 35 of 133 children were
consistent in rate throughout; 35 changed to
a faster rate in the second period, whereas
only 15 changed to a slower one. Thirty
children changed rates twice and 18 were
“irregular.” All of these findings and the
number of boys and girls assigned to each
pattern are shown in Table II.
It has been found impossible to present
au the individual curves which have been
assigned to each of the patterns selected
because of the limitation of space for
Fig-ures and tile confusion which results when
too many curves are drawn on a single
graph. In Figures 3 to 20, inclusive,
matched charts for boys and for girls
appear together. In each Figure a few
individual graphs are plotted over the
ap-propriate curves for the mean and 1
stand-ard deviation against chronological age.
When case examples are few in number,
two or more patterns are presented in each.
Whenever possible, all examples for sex are
graphed on a single Figure, otherwise
Se-lections have been made using several
ap-proaches. Sometimes it has been found by
superimposing graphs on an illuminator
that two are so identical that one can be
charted and the other set aside. In the few
patterns with numerous cases, the chief
basis of selection has been to demonstrate
variants of the pattern, either in the
gen-eral level of progress, that is, at the
“ad-vance,” “moderate” or “delayed” level, or in
the degrees of fastness or slowness within
the range permissible, or in the timing or
age of change from one rate to another.
De-grees of irregularity within a pattern have
been demonstrated fully for those with few
cases where all are plotted. For the patterns
with larger numbers, the smoother curves
have at times been selected to permit
clearer visualization of cases.
In studying the curves of cases presented in
Figures 3 through 20, it may help the reader
to have recalled some of the features of these
Figures common to all and some of the rules
as they apply to cases. This can be done in a
brief discussion of Figures 3 and 4. At first
glance it may appear that cases portrayed in
these Figures are not progressing consistently
at a “moderate” rate as is required for the I m
pattern. It must not be overlooked that “moder-ate,” “fast” and “slow” in these and subsequent Figures are in relation to the background norms
and not the month lines of the chart. On first
inspection of Figure 3 it will be seen that the
curve of Boy 106, which appears to fall sharply between 1 and 4 years is actually progressing at a level within 2 to 5 months below the minus
1 standard deviation (lower broken line). It is
in relation to this norm that this case must be
judged. The same case line rises to 2 months
above the reference line from 8 to 10 years
and falls as far as 5 months below it again at
13 years and 14 years 2 months. These
irregu-larities make Case 106 an example of the
moderate variability that can occur within the
permissible range for this pattern. Similarly,
PATTERN nrnf BOYS 67 .65 ‘+58 .299
+36 +36
24
CHRONOLOGICAL AGE IN YEARS
PATTERN IImf GIRLS 272 .10 ‘+150 .126
V
36r ,- --- ‘ 1+36
F
--$2
‘.J-24 --26
-31 I 1 1 -- ---- - - -36
B I 2 3 4 5 6 7 8 9 10 II 2 13 14 5 6 17 8
CHRONOLOGICAL AGE IN YEARS
Fic. 11 (top) FIG. 12 (bottom)
4 4
-12
PATTERN Urns
CHRONOLOGICAL AGE IN YEARS
GIRLS 068 #{149}131 vIOl .201
+36
+24
S
I 1
0
4
0 0 4 4 sJ -21
-B I 2 3 4 5 6 7 8 9 10 II 1213 4 IS 16 17 18
CHRONOLOGICAL AGE IN MONTHS
Fic. 13 (top) Fic. 14 (bottom)
+12
-c
PATTERN lIms BOYS +37 .140 v155 .141 .196
+36 +24
+12
-O
-12
+36 +24
+12
-O
-12
-24
+36
PATTERN BOYS
+36-- III sIm ‘+ 53
III msm .178
+24 Ill sfs 265 #{149}130
CHRONOLOGICAL AGE IN YEARS
PATTERN GIRLS
+361- III ‘‘ 299
Ill 18
III f’ 280
+74-- III sfs #{149} 74
S
--36’ -i--- -
---
--
--
-Fic. 15 (top)
PATTERN BOYS
+36-
-
II s,,,I -+ 6411 sfm #{149}134
II “sf #{149} .152
36L
+24
+12
0
3 - 4 5 6 7 8 9 0 II 2 13 14 15 lB 7 lB
CHRONOLOGICAL AGE IN YEARS
-12
-24
Fic. 16 (bottom)
- - - ____I I - -- i-- _l I - I
B 1 2 3 4 5 6 7 8 9 10 II 12 13 14 IS 16 I? 18
CHRONOLOGICAL AGE IN YEARS
GkLS
v 277
+ 252 .261
+36
+24
+12
0
-12
-24
-36
1:::
-+12
-O
-12
-24
-36
10 II ‘2 13 14 IS lb IT lB
CHRONOLOGICAL AGE IN YEARS
1 ‘ I I - I -- 1 A
Fic. 17 (top) Fic. 18 (bottom)
PATTERN
$3 smf
III Is’’ Ill “SI
+36r
lines for the mean and minus 1 standard
devia-tion, falls about 2 months below the latter
be-tween 2 and 3 years of age. Technically, this
case would have been called “irregular” in the
first period but “regular” in the second, except
for the rule which permits one age assignment
to be out of range if bounded by appropriate
age assessments. Only at 43 years is this case
more than 1 standard deviation removed from
the lowest age position. The same license has
been taken with Girl 288 in Figure 4, when at
23 years her skeletal age was several months
below her level at 2 and 3 years and in itself
below the permissible level of variability for her
curves as otherwise maintained. It should also
be recalled in reviewing these charts that
as-sessments below 1 year for both sexes and
above 15 for girls and above 17 years for boys
are regularly ignored in assigning pattern.
Otherwise, Girl 23 in Figure 4 would be thrown
out of this pattern by the positions held by her
at 163k and 1Th years.
A few of the features of the “skeletal age
(hand)” curves presented in the preceding
Figures are mentioned here but others
will be observed by the reader and deserve
further attention in the studies of
inter-relationships in reports to follow. The
curves of the 4 boys in Figure 5 show
strik-ing consistency and proximity of positions
at all ages except that the extent of delay
due to the “slow” pattern for Boy 246 was
considerably greater than for the others.
There being no boys in I f and only one girl
in Pattern I s, Figure 6 shows the combined
patterns I f and I s for girls. An interesting
feature of Figure 6 is that twins, Cases 232
and 233, followed courses within the
pat-tern which are extremely alike. These girls
are not identical twins and it has been
found that other twins in this Series,
al-though not identical, are equally alike in
pattern. Garn and Shamir1 have presented
comparisons of pairs of children-unrelated,
siblings, dizygotic and monozygotic
twins-as to tile relative times of appearance of the
first 38 ossification centers. They have
con-cluded that as the number of genes held in
common increases, these pairs become
more alike in the times of these
appear-ances. However, in this Maturity Series,
curves of other pairs of children who are
unrelated have been found much alike also.
It is proposed to study further this aspect
of similarities in patterns between twins,
siblings and unrelated children, but Figure
6 calls attention to the fact that close
simi-larities in individual curves do occur. In the
presentation of cases in these Figures, the
purpose has been to demonstrate not only
the differences between patterns of skeletal
development but also intra-pattern
differ-ences between individuals. This purpose
and the exclusion of similar curves to avoid
confusion in plotting have masked
similari-ties.
In Figures 7 and 8, which present slow
rates followed by fast rates, the boys sllo\\-’
great uniformity both in relative speeds by
periods and at age of change in rate of
progress. They show, on the other hand,
considerable contrast in overall levels at
which progress takes place. As examples,
Cases 193 and 133 never approach each
other except for an eccentric rating at 15
years, which may be ignored. The girls, on
the other hand, in Figure 8 show somewhat
more variations than did the boys,
particu-larly in regard to the age at which change
from “slow” to “fast” took place.
It has been noted in several patterns
in-volving a “fast” rate that tile speed tends to
be greater when the original level is
ad-vanced than when it is delayed. It is
appre-ciated that when infants are advanced in
level at birth or at 1 year this advancement
must represent preceding accelerated rate,
presumably during fetal life or early
in-fancy. These earlier occurrences and the
causes for them are of great interest and
much data of possible relevance to this
relationship is available and should be
studied, but they are not the concern of
this paper. It would be expected that a
child advanced, or one delayed, at 1 year
would tend to hold the same position
there-after unless impelled by some intrinsic or
extrinsic factor to proceed on another than
moderate rate. Many children in this Series
have maintained initial position very
PATTERN GIRLS
IV ‘ +36
2
-12,-
-24’-.‘59mos
--36- l ‘ A I 6 1 1 I I 30
B I 2 3 4 5 6 7 8 9 10 II 12 13 14 IS 16 17 18
CHRONOLOGICAL AGE IN YEARS
FIG. 19 (top) Fic. 20 (bottom)
+36
+24
+12
S
-12
-24
PATTERN BOYS
+36 IV , . 84 _,-0 + +36
IV +154 .238
‘+224 .202 +283 .219 _____.__
2 ‘24 - . - .- +24
2
/
-,+1? ..-.-. “-- +12
:
_O-24
3’, L_J__I I 1 1 I 1 1 -36
3 I 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18
CHRONOLOGICAL AGE IN YEARS
o- 197 #{149}-206
---258.--I42 ‘+180.--- 60 81 .-222 ‘+-279 .-198 #{149}---II‘-247
253 was seen to be regularly advanced and
Case 130 quite regularly delayed.
Turning to Figures 13 and 14, the five
boys shown are all strikingly “moderate” in
rate during the first period and “slow”
dur-ing the second. They vary somewhat in age
of change to a slow rate and even more in
the level of delay which they attain at 17
years, a matter of 2 years 5 months between
tile least and most delayed in terms of
skeletal age. Girls in this pattern present
greater differences in levels of progress
than tile boys.
Figure 18 shows Girls 261 and 252 were
much alike in timing of the changes in their
rates. The 1 year longer in the first, or fast,
period permitted 252 to become more
ad-vanced at the beginning of the middle or
slow period, but this was overcompensated
by a more rapid fall which put 261 4 or 5
months ahead between 9 and 15 years.
All of the children’s graphs of “skeletal
age (hand)” which (lid not comply with the
rules for any patterns described above are
grouped together in Figures 19 (for boys)
and 20 (for girls). If one has the patience to
trace individual curves in these Figures it
will become evident that most of them are
not really irregular except at one or two
short age periods. Some curves are quickly
recognized as belonging in the main to a
particular defined pattern. In Figure 19 for
example, Boy 184 (x-x) clearly belongs to
pattern III fms until age 15, but then
be-comes too fast for it. Likewise, Boy 154
(open circle) fits pattern III smf except for
early irregularities. In both Figures most
of the assessments at ages below and above
those of the norms have been omitted
be-cause of crowding due to number of cases
plotted.
Although it has been pointed out in some
patterns that girls appear to be somewhat
more irregular than boys there is not
suffi-cient evidence to suggest that this is a true
sex difference. In fact when appropriate
norms for sex are used, which automatically
over boys in terms of chronological age, one
is impressed with the similarities in
pat-terns rather than their difference between
boys and girls. This has been shown to hold
for such aspects of patterns as those most
commonly followed and those showing
either no cases or one or two cases.
SUMMARY
The first purpose of this presentation of
patterns of skeletal development in the
hand has been to demonstrate that
essen-tially normal children, although passing
through very similar steps or stages of
skeletal development in the hand, do so in a
variety of ways in respect to the rates of
their progress through these stages or by
age periods. The second objective has been
to show the kinds of patterns which emerge
and the relative frequency with which
cer-tain of these are encountered. This has been
done by studying the consistency manifest
by children in their rate of progress over
tile whole of childhood as well as by major
subdivisions of the developmental period.
This Study shows that few children are
very irregular in progress or change
fre-quently to any substantial degree in their
rate of progress, but many make one or two
substantial shifts in rate from one period to
another. The most common, marked and
understandable shift is the single one
oc-curring roughly between childhood and
adolescence. The years close to the dividing
line between these two age periods,
there-fore, are the ones in which change in rate
of skeletal development (hand) may be
ex-pected most commonly. The changes in
rates occurring at other ages, as portrayed
in patterns under III or IV (Figs. 15 to 20),
are not readily explained on the basis of
other features of development. Factors
found associated with these different
pat-terns of skeletal development in the
chil-dren concerned, relating to nutrition,
ill-ness experiences, growth in height and other
aspects of development will be considered
in later reports on interrelationships.
Aside from a Preli1l1in11y report from this
1aboratory’ the only other report known to
the authors which dealt longitudinally with
patterns of skeletal development was
pub-lished by Kelly in 1937.15 This concerned
children 6 to 18 years of age and used an
index derived from measurements of several
bones or epiphyses in the hand and wrist;
six patterns were derived from these indices
and described as convex, linear, concave,
convex-concave, linear-convex and
concave-convex. Because of the fundamental
differ-ences in the data used in this Study, it is
not possible to compare Kelly’s results with
those being reported.
Acknowledgment
The authors are indebted to Dr. \Villiam
Walter Greulich, Professor of Anatomy,
Stan-ford University, Stanford, California, for
valu-able guidance in earning out this Study and in
the preparation of this report. They also
ac-knowledge assistance from many staff members
over the years, especially E. \Togt during the
early years and M. Anderson more recently,
in obtaining satisfactory roelltgenograms and
V. V. Harding, E. Grant and
J.
Cornoni in theevaluation of data.
The authors acklloWledge financial support
in the past years from many organizations
listed in the preceding paper which made
possi-ble the collection of the roentgenograms on
which this Study is based. They acknowledge
specifically grants from tile Research Grants
Division of the U. S. Public Health Service
which have provided for the evaluation of the
roentgenograms on which this report is based.
REFERENCES
(For “References in Bibliography,” see p. 973.)
1. Reference 3 in Bibliography.
2. Shuttleworth, F. S.: a) Sexual maturation
and the physical growth of girls; age 6
to 19. Monogr. Soc. Res. Child Devel.,
2:serial 12, No. 5, 1937; b) Sexual
matis-ration and the sexual growth of girls;
age 6 to 19. Idem, 3:serial 18, No. 5,
1937; c) The adolescent period: a
graphic atlas. Idem, 14:serial 49, No. 1,
1949.
3. Todd, T. W.: The roentgenographic
ap-praisement of skeletal differentiation. Child Devel.. 1:298, 1930.
903
5. Reference 33 in Bibliography.
6. Greulich, W. W., and Pyle, S. I.:
Radio-graphic Atlas of Skeletal Development
of the Hand and Wrist. Stanford,
Cali-fornia, Stanford Univ. Press, 1950; 2nd
Ed., 1959.
7. Todd, T. W.: Atlas of Skeletal
Matura-tion (Hand). St. Louis, Mosby, 1937.
8. Pyle, S. I., and Hoerr, N. L.: Radiographic
Atlas of Skeletal Development of the
Knee. Springfield, Thomas, 1955.
9. Hoerr, N. L., and Pyle, S. I.: Radiographic
Atlas of Skeletal Development of the
Foot and Ankle. Springfield, Thomas,
to be published.
10. Acheson, R. M.: A method of assessing
skeletal maturity from radiographs; a
report for the Oxford child health
sur-vey.
J.
Anat., 88:498, 1954.11. Pyle, S. I., et a!.: A substitute for skeletal
age (Todd) for clinical use: the red
graph method.
J.
Pediat., 32:125, 1948.12. Pyle, S. I.: Effect of the difference in
stand-ards in interpreting skeletal age of
in-fants. Merrill Palmer Quart., 4:74, 1958.
13. Garn, S. M., and Shamir, Z.: Methods for
Research in Human Growth. Springfield, Thomas, 1958.
14. Reference 28 in Bibliography.
15. Kelly, H.