August 2011
Series 2, Number 153
Transitions Between
Childlessness and First Birth:
Three Generations of
U.S. Women
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Suggested citation
Kirmeyer SE, Hamilton BE. Transitions between childlessness and first birth:
Three generations of U.S. women. National Center for Health Statistics.
Vital Health Stat 2(153). 2011.
Library of Congress Cataloging-in-Publication Data
Transitions between childlessness and first birth : three generations of U.S.
women.
p. ; cm.— (Vital and health statistics. Series 2 ; no. 153) (DHHS publication ;
no. (PHS) 2011–1353)
‘‘August 2011.’’
Includes bibliographical references.
ISBN-13: 978–0–8406–0646–4
ISBN-10: 0–8406–0646–X
1. Fertility—United States—Statistics. 2. Birth intervals—United States—
Statistics. I. National Center for Health Statistics (U.S.) II. Series: Vital and
health statistics. Series 2, Data evaluation and methods research ; no. 153.
III. Series: DHHS publication ; no. (PHS) 2011–1353.
[DNLM: 1. Reproductive Behavior—United States—Statistics. 2. Birth
Intervals—United States—Statistics. 3. Fertility—United States—Statistics.
4. Longitudinal Studies—United States—Statistics. W2 A N148vb no.153 2011]
HB902.5.U6T73 2011
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Series 2, Number 153
Transitions Between Childlessness
and First Birth: Three Generations of
U.S. Women
Data Evaluation and Methods Research
U.S. DEPARTMENT OF HEALTH AND HUMAN SERVICES
Centers for Disease Control and Prevention
National Center for Health Statistics
Hyattsville, Maryland
August 2011
DHHS Publication No. (PHS) 2011–1353
National Center for Health Statistics
Edward J. Sondik, Ph.D., Director
Jennifer H. Madans, Ph.D., Associate Director for Science
Division of Vital Statistics
Charles J. Rothwell, M.S., Director
Contents
Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Data Sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Data Quality. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Analytic Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
1
2
2
2
Results and Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Patterns of First-birth Probabilities (qx) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Number in Cohort Remaining Childless, by Age (lx) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Distribution of First Births by Mother’s Age (bx) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Expectation of Number of Years to be Childless in the Future (ex) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Degree of Concentration of First Births. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Importance of Childlessness in the Demographic Context of the 20th Century . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Trends by Parity Distribution in the 20th Century . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Cohort TFRs, 1950–2005 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Postponement and Recuperation of Fertility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Relationship of Childlessness to TFRs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
3
4
4
5
6
7
7
7
8
9
Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
11
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
11
Appendix. Technical Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
16
Figures
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Probability of having a first birth, by age and birth cohort of mother: United States, 1910, 1935, and 1960 . . . . . . . . . . 3
Cumulative probability of having a first birth, by age and birth cohort of mother: United States, 1910, 1935,
and 1960 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4
Number of women remaining childless, by age and birth cohort of mother: United States, 1910, 1935, and 1960. . . . . . 5
Distribution of first births, by age and birth cohort of mother: United States, 1910, 1935, and 1960 . . . . . . . . . . . . . . . . 6
Average number of years expected to remain childless, by age and birth cohort of mother: United States, 1910,
1935, and 1960 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7
Lorenz curves of first births and Duncan Index of Concentration, by birth cohort: United States, 1910, 1935,
and 1960 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
Parity distribution at completed fertility of birth cohorts: United States, 1900–1960. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
Percent distribution of the number of children ever born, by birth cohort of mother: United States, 1910, 1935,
and 1960 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Total fertility rates at completed fertility of birth cohorts: United States, 1950–2005 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Proportion childless and total fertility rate at completed fertility, by birth cohorts: United States, 1910–1960 . . . . . . . . . 11
iii
Text Tables
A.
B.
C.
D.
E.
F.
Cumulative probability of first birth, by selected age and birth cohort of women: United States, 1910, 1935,
and 1960 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Proportion of women childless, by selected age and birth cohort of women: United States, 1910, 1935, and 1960 . . . . .
Mean, median, modal, and maximum number of first births (bx ), by birth cohort of women: United States,
1910, 1935, and 1960 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Expected number of years childless, by selected age interval and birth cohort of women: United States, 1910, 1935,
and 1960 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Gini Concentration Ratio and Duncan Index of Concentration, by birth cohort of women: United States,
1910, 1935, and 1960 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Total fertility rates, by selected age group and birth cohorts of women: United States, 1930, 1940, 1950, 1960,
1970, and 1980 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4
5
6
7
8
9
Detailed Tables
1.
2.
3.
iv
Maternity table for the 1910 birth cohort, by age of mother . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Maternity table for the 1935 birth cohort, by age of mother . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Maternity table for the 1960 birth cohort, by age of mother . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13
14
15
Objective
This report analyzes the patterns of
childlessness, and conversely, the
first-birth patterns of three birth cohorts
of American women. For this report, a
cohort refers to women born in the
same year. The cohorts compared were
women born in 1910, 1935, and
1960—who, consequently, turned 25
during the Great Depression, the Baby
Boom, and lastly, the post-Baby Boom
period. The purpose of the report is to
explore the differences in fertility
characteristics of these three
generations of women and to consider
those differences in light of the social
and economic conditions at the time.
Methods
Life table methodology, including the
probability of having a first birth, the
number of women remaining childless,
and the expected number of years to
remain childless, was applied to each of
the three birth cohorts for comparison.
Techniques extended from life table
functions were also used and included
measures of first-birth concentration as
well as comparisons between child
lessness and the total fertility rate (TFR).
Data were based on the Centers for
Disease Control and Prevention’s
National Center for Health Statistics
tables on cohort fertility.
Results
Of the three birth cohorts studied,
the women born in 1910 had the
highest proportion childless and a low
TFR. In contrast, the women born in
1935 had both the lowest proportion
childless and the highest TFR. The
fertility of women who were born in
1960 is characterized as intermediate to
the other cohorts in terms of
childlessness, but is distinct with both
lowest levels of childbearing and oldest
ages of first births. First-time
childbearing is more concentrated (that
is, least spread out) by age of mother
for the 1910 and 1935 cohorts than the
1960 cohort. Finally, data for all U.S.
birth cohorts 1910–1960 suggest that
the greater the proportion childless in a
cohort, the lower the TFR.
Keywords: birth cohorts • cohort
fertility • life table methods • zero parity
Transitions Between Childlessness
and First Birth: Three Generations
of U.S. Women
by Sharon E. Kirmeyer, Ph.D.; and Brady E. Hamilton, Ph.D.,
Division of Vital Statistics
Introduction
Both the timing of the first birth
and the percentage childless have
profound consequences for society.
These include the demand for schools
and housing, as well as the development
and utilization of women in the labor
force. Moreover, the lives of women
who become mothers are significantly
different from those who do not. To
give birth (and to raise a child) results
in a transition to parenthood, with
immediate and generally permanent
implications (1). In industrialized
societies, parenthood affects the
acquisition of material goods (such as
choice of place of residence, housing
type, and consumable goods) (2). When
and if women become mothers, they can
encounter opportunity costs (for
example, those that limit education, the
ability to work full-time, the possibility
to obtain higher professional attainment,
promotions, and higher incomes) (3).
In nonindustrialized societies, rather
than material or maternal opportunities,
the degree of kin availability—that is the
presence of children and the children’s
spouses—is of great importance for the
elderly. Consequently, the proportion of
women with any offspring is key to
the well-being of families in these
societies (2).
Childlessness has increasingly
become an acceptable lifestyle in North
America and Europe. However, lifestyle
decisions are only one of the reasons for
having a child. Not having a child may
be due to postponement of childbearing,
rather than early sterility (such as
premature menopause). Intervening
factors leading to childlessness include
partners’ availability and intentions, life
course events, subfecundity, and
unplanned events (1).
This report presents three strongly
contrasting patterns of childlessness (and
their complement, descriptions of first
childbirth) and discusses the context in
which these patterns occurred in the
United States. In addition, this report
discusses previously unknown
relationships between individual
functions of childlessness and the larger
demographic context.
Methods
Data Sources
The patterns of childlessness
examined in this report used U.S. birth
cohort data, not period data. A birth
cohort for this report is a group of
women born in the same year and who
share the same general or common
experiences, at successive ages, during
their reproductive lives.
Within this report, the experiences
of three cohorts of women are followed
over consecutive years through their
respective reproductive lives. In
contrast, analysis of period data includes
the observation of many cohorts within
a given time interval (1 year, for
example), with mixed and different
experiences of their reproductive lives.
The data for this report come from
publications based on U.S. vital
statistics data: ‘‘Fertility Tables for Birth
Cohorts by Color: United States,
1917–1973’’ (4), Centers for Disease
Control and Prevention’s National
Center for Health Statistics (NCHS)
Page 1
Page 2 [ Series 2, No. 153
tables from the vital statistics of the
United States (5,6), and the recent
NCHS Internet release, ‘‘Cohort Fertility
Tables for All, White, and Black
Women: United States, 1960–2005’’ (7).
The selection of these three birth
cohorts was based on several criteria.
The cohorts chosen experienced their
prime childbearing years under differing
social, economic, and demographic
conditions, and were evenly spaced from
each other. The birth cohorts selected
were 1910, 1935, and 1960, which are
spaced 25 years apart. This spacing is
close to the mean length of a generation,
which empirically has a mode of 27–28
years (8). Moreover, these cohorts had
data for essentially their complete
reproductive lives; that is, ages 15–49.
Note that the data for the 1960 cohort
are only available through age 45.
However, this was deemed acceptable
because the cohort had essentially
completed its childbearing.
In essence, the data represent three
generations of women who experienced
markedly different conditions. The
earliest cohort of women spent their
prime childbearing years (ages 20–35)
during the Great Depression (1929 to
the start of World War II), the second
during the post-World War II economic
recovery and the ‘‘Baby Boom’’ years
(1946–1964), and the third during a
period of social and economic
liberalization (which began in the late
1960s) with relatively low and definitely
delayed fertility (1973–2005).
Data for the 1910 and 1935
cohorts were taken from earlier
sources (4–6) and data for the 1960
cohort were from the most recent
source (7).
Data Quality
Note that the data in this report
encompass a period where birth
registration completeness improved to
become effectively universal. Three
nationwide tests of birth registration
completeness estimated that of all births
occurring in the United States,
92.5 percent in 1940, 97.9 percent in
1950, and 99.2 percent in 1964–1968
were registered (9). Accordingly, births
for earlier data years were adjusted for
underregistration. The quality (as well as
classification) of live birth order and age
of mother also improved, with relatively
few births imputed for live birth order
and age of mother not stated. For a
detailed discussion on the adjustment of
births and imputation of missing data,
see references 4 and 7.
Analytic Methods
The life table method is most
commonly applied to mortality data to
analyze the probability of dying in a
particular time period such as 1 year
and to estimate a variety of statistics
such as the average expectation of life
at birth. However, life tables can also be
used to study how long it takes for any
event to happen. Some examples of
reproductive health applications include:
estimating the average time to
conceive (10), gauging pregnancy
outcomes (11), measuring the mean
duration of breastfeeding (12),
evaluating contraceptive use
duration (13), cumulating birth
probabilities within first marriages (14),
and measuring the duration of
cohabitation, marriage, divorce, and
remarriage (15). This is the first time,
the authors believe, that life tables have
been used to formally examine and
compare patterns of childlessness. The
tabular data (4–7) produce functions that
relate to both childlessness and first
birth; as such, the tables are referred to
in this report as ‘‘maternity tables.’’
Several maternity table functions
that are used in the analysis are briefly
discussed in the next section. The
complete maternity tables are included
as Tables 1–3. Unlike standard life
tables, which range from birth to the
oldest measureable age, the maternity
table starts at age 15 and ends at age 49.
These ages typically represent the
beginning and end points of the
reproductive period. As seen in
Tables 1–3, less than 1 percent of first
births occur after age 45 (i.e., column
bx , births).
Measures
As noted earlier, the life table
method is most commonly applied to
mortality data to analyze the probability
of dying within a given time interval
and to estimate other duration functions.
Its applications are common in survival
analysis, medical trials, and a number of
reproductive health topics. The life
table—or in this case, the ‘‘maternity
table’’—functions were calculated in a
spreadsheet format using Excel, wherein
the calculations from one table column
become the basis for the next. The
following describes the most basic
functions.
Size of maternity table’s initial
cohort, or ‘‘radix’’—For purposes of
comparison, each cohort in the maternity
table is standardized to 100,000 at age
15 (expressed as l15 in formal terms).
Probability of having a first birth at
age x (the qx values)—Represent the
probability or chance that a woman who
is childless on her xth birthday will have
a child before reaching her xth + 1
birthday.
Number of first births occurring at
age x (the bx values)—Represent the
number of first births who are born to a
woman at age x.
Number of childless women at age x
(the lx values)—Represent the number of
women who are still childless on their
xth birthday.
Cumulative probability of having a
first birth by age x—Derived by
subtracting the lx value from the radix
and dividing that difference by the radix
to obtain a cumulative indicator of the
probability of first births in a cohort.
Number of years expected to remain
childless from a given age to age 50
(the ex values)—Represent the average
time remaining in a woman’s
reproductive life that she would expect
to be childless. It has a well-known
counterpart in life tables: the expectation
of life.
A more detailed description of the
functions is provided in the ‘‘Technical
Notes.’’ Two other related functions are
described below.
Indicators of dispersion (Gini
Concentration Ratio and Duncan Index
of Concentration)—Represent two
measures of spread (or dispersion) in
volume and timing of childbearing. Both
depend on the Lorenz curve of
cumulative dependent variables. While
most known for indicating economic
and geographic inequality, they have
also been used to reflect maternal and
Series 2, No. 153 [ Page 3
Results and Discussion
The birth cohort of 1910 turned 25
in 1935, during the Great Depression. At
that time, many marriages were delayed
due to the lack of employment
opportunities for men. The average age
of marriage increased and a record
number of women never married (18).
Women at age 25 remained childless for
more years than did those in the other
cohorts during comparatively better
economic times; they expected 14 years
of future childlessness compared with 11
years for women born in 1935 and
1960.
The birth cohort of 1935 turned 25
in 1960, at the height of the prosperity
that contributed in part to the Baby
Boom. At this post-World War II time,
the economy had grown rapidly and
headed to full employment and high
wages. Men with only a high school
education could earn enough money to
support a family (19). Prior to World
War II, few attained higher levels of
education. Post-World War II, the G.I.
Bill assisted veterans in both obtaining
higher education and supporting a
family. At the same time, women were
staying at home, having at least two
children. This was due both to
their husbands functioning as the sole
provider in the household and to social
and workplace discrimination, which
curtailed the employment of married
women and, particularly, mothers (19).
The birth cohort of 1960 turned 25
in 1985, during a period of increasing
educational attainment and sustained
labor force participation for women.
There were legally enforced
1910 cohort
1935 cohort
1960 cohort
0.160
0.140
Probability of first birth
child health inequality (16,17). Both
measures indicate the concentrations of
first births by age of mother. The
differences in the two indices are
discussed below.
Lifetime total fertility rate by birth
cohort (TFR)—The age-cohort-specific
central fertility rates (fx ) are summed
over a cohort’s 35-year reproductive
period to provide the completed fertility
rate for that birth cohort, expressed as
number of births per 1,000 women
(aged 15–50).
0.120
0.100
0.080
0.060
0.040
0.020
0.000
15
20
25
30
35
Age in years
40
45
49
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 1. Probability of having a first birth, by age and birth cohort of mother:
United States, 1910, 1935, and 1960
improvements in opportunities for
women. Also at this time, there were
changes in the service sector in the U.S.
economy (especially for professional,
managerial, sales, and technical
services) (20), which favored the
employment of women. Just as
importantly during this time, modern
methods of contraception became widely
available (21,22).
Patterns of First-birth
Probabilities (qx )
During each year of a childless
woman’s reproductive life, there is some
probability that she will give birth. If
she does not, she remains childless and
has the opportunity in the succeeding
year to have a birth. The shapes of
first-birth probabilities differ greatly
among the three cohorts. They are
distinguished by overall magnitude of
the first-birth curve, its symmetry, and
the peak age to give birth (Figure 1).
Of the three cohorts, the 1910
cohort’s attainment of motherhood was
the lowest. The greatest probability or
likelihood to have a first birth at a given
age was 114 births per 1,000 (or 6,126
of 53,737 childless women). This peak
of first births occurred at age 23
(Table 1). Put another way, 11.4 percent
of childless women born in 1910 had a
first birth at age 23. The greatest
number of first births occurred early in
the reproductive period. The
probabilities for first births dropped
rapidly after age 25. This is not
unexpected given that the United States
was deep into the Great Depression at
this time.
The birth cohort of 1935 entered
prime childbearing years during the
economic prosperity of the late 1950s
and early 1960s. This cohort had the
highest overall fertility and lowest level
of childlessness. The highest first-birth
probability occurred at age 24 when
about 15 percent of women still
childless had their first child (Table 2).
The probability curve was similar to that
of the 1910 cohort, but first-birth
probabilities were higher than those of
the 1910 cohort until age 39.
The initial slope of first-birth
probabilities for the 1960 cohort (to
age 20) was not as steep as those of
the previous cohorts. After age 20, the
probabilities remained fairly constant
for 10 years. The cohort’s highest
probability of having a first child
occurred comparatively late, at age 29,
with the chance that 1 out of 10
childless women would have their
first child (Table 3). Overall, the
Page 4 [ Series 2, No. 153
Table A. Cumulative probability of first birth, by selected age and birth cohort of women:
United States, 1910, 1935, and 1960
Birth cohort
Age of women in years
1910
1935
1960
Cumulative probability of first birth
18.
22.
25.
30.
35.
49.
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0.087
0.397
0.576
0.723
0.778
0.803
0.108
0.457
0.663
0.825
0.869
0.886
1910 cohort
0.093
0.329
0.482
0.686
0.794
0.844
1935 cohort
1960 cohort
1.000
Cumulative probability of first birth
0.900
0.800
0.700
0.600
proportions childless found in the
National Fertility Survey (23) and the
National Surveys of Family Growth (3).
In the last 10 years of their
reproductive periods, the proportions
childless in the three cohorts were
approximately equally spaced (Figure 3).
This was not true at earlier ages. Due to
the postponement of first births by the
women in the 1960 cohort, a relatively
large number of the 1960 cohort were
childless at younger ages. It was not
until women in the 1960 cohort were
aged 33 that they crossed under the
‘‘survival curve’’ of the women in the
1910 cohort. From that age forward, a
relatively larger proportion of the 1910
cohort than the 1960 cohort was
childless at each age (Figure 3 and
Table B).
Distribution of First Births
by Mother’s Age (bx )
0.500
0.400
0.300
0.200
0.100
0.000
15
20
25
30
35
Age in years
40
45
49
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 2. Cumulative probability of having a first birth, by age and birth cohort of mother:
United States, 1910, 1935, and 1960
first-birth probability curve for the
1960 cohort shifted considerably to
the older ages relative to those of the
earlier cohorts.
Table A compares the cumulative
first-birth probabilities at important ages.
Among them are: age 18, when high
school is generally completed; age 22,
when college is completed; and age 35,
when motherhood has essentially been
initiated. For these three ages, the 1935
cumulative birth probabilities were the
highest (0.108 at age 18 and 0.869 at
age 35). The 1960 cohort’s cumulative
probability was relatively high at age 18
(0.093), but quickly dropped below
those of other cohorts at age 25.
However, at age 35, women born in
1960 had a higher probability of having
had a first birth than the 1910 cohort
(Figure 2).
Number in Cohort
Remaining Childless, by
Age (lx )
Because the size of the initial
cohort is set at 100,000, the number of
women in column lx (Tables 1–3) at age
49 represents the number out of the
original 100,000 who remain childless at
that age.
As illustrated in the inset of
Figure 3, about 19,700 out of the
100,000 women of the 1910 cohort
remained childless at the end of their
reproductive period. That is, 0.197 of
that cohort were still childless at age 49.
For the 1935 cohort, the relative
proportion was 0.114, and for the most
recent cohort, 1960, it was 0.156. These
figures correspond well with the
As shown in Table B, a substantial
number of women did not have children
by the time they concluded their
reproductive years. However, approxi
mately 80 percent to 90 percent of the
women in all three cohorts did have at
least one birth. The distributions of first
births vary by peak, shape, and overall
magnitude of first births for these three
cohorts of 100,000 women. These
differences are shown in Figure 4 and
Table C.
The fewest first births were born to
women in the 1910 cohort. For each
100,000 women who entered their
reproductive period in 1925, 80,300
became mothers between ages 15 and
49 (Table A). It was at age 19 that the
greatest numbers of births occurred; that
is, 81 births per 1,000 women (or 8,100
per the original 100,000 women born in
1910). Of the 1910 cohort, one-half of
the first births were born to women
before age 21.1 and the other one-half at
later years (Tables A and C).
Many more first births occurred to
women in the 1935 cohort than in the
1910 cohort: approximately 88,600 of
the 100,000 women in the 1935 cohort
within their 35-year reproductive period.
This level is 10 percent higher than that
of the 1910 birth cohort. It was at age
Series 2, No. 153 [ Page 5
Expectation of Number of
Years to be Childless in the
Future (ex )
A woman may give birth in the first
12 months of her reproductive life—that
is, at age 15—or she may have her first
birth at the end of the maternity table
when she is in her 40s. However, it is
most likely that she will have her first
birth, if she does become a mother, in
her 20s. It is not only of interest
whether a woman will or will not
become a mother: a discrete outcome. It
is additionally of interest to know the
average number of years that she
remains childless during the period
when she could potentially have a child.
This is an important statistic because it
speaks to the opportunity costs a woman
may have in completing her education
and job training during years when her
childbearing potential is comparatively
high.
The average number of years a
childless woman at a given age is
expected to remain childless is shown in
Figure 5. This measure is a function of
both the birth probabilities at a given
1910 cohort
1935 cohort
1960 cohort
100,000
90,000
80,000
70,000
Number of women
20, the peak age for first births, when
92 births per 1,000 took place for
women born in 1935. One-half were
born before age 20.8 for the 1935 cohort
and the other one-half at later years
(Tables A and C).
The number of first births born to
women in the 1960 cohort was
intermediate to those in the 1910 and
1935 cohorts (roughly 84,400 women
had a first birth compared with 80,300
and 88,600). But the volume of first
births is not the only distinguishing
characteristic of this cohort. The peak of
the distribution is 63 births per 1,000, a
peak that is about two-thirds the number
of births that occurred in the 1935
cohort table (also at age 20). The shape
of this distribution is markedly different
as well: the decline in numbers of first
births is particularly more attenuated
than it was for the earlier cohorts. This
moderate level extends into older years.
The midpoint is about 2 years older for
the 1960 cohort than that of the 1935
cohort (Table C).
60,000
50,000
40,000
30,000
20,000
10,000
0
20
15
25
30
35
Age in years
40
45
49
NOTE: Based on initial cohort of 100,000 women aged 15.
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 3. Number of women remaining childless, by age and birth cohort of mother: United
States, 1910, 1935, and 1960
Table B. Proportion of women childless, by selected age and birth cohort of women:
United States, 1910, 1935, and 1960
Birth cohort
Age of women in years
1910
1935
1960
lx /100,000
18.
22.
25.
30.
35.
49.
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age (qx ) and the number of women who
remain childless at that age (lx ). The
expected childless years begin to decline
sharply when the number of childless
women remains fairly constant: around
age 35 for each of the three cohorts
(Figure 3). Thereafter, with each year of
life, the expected number of childless
years decreased annually by
approximately 1 year (Figure 5).
The 1910 cohort had the highest
overall level of childlessness and thus
the average number of years expected to
be childless followed the highest curve
of the three cohorts. It reached a high of
15.4 years at age 30 (Table D).
For ages 15–30, the 1935 cohort
had substantially lower levels of
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0.913
0.606
0.424
0.277
0.222
0.197
0.892
0.543
0.337
0.175
0.131
0.114
0.907
0.671
0.518
0.314
0.206
0.156
childlessness compared with the 1910
cohort, although the shapes of the
curves were similar (Figure 5).
At age 15, women of the 1910
cohort anticipated being childless for an
average of 13.4 years; those of the 1935
cohort, 10.8 years. After age 30, the two
curves followed similar patterns.
The childless-years curve remained
rather flat for the 1960 cohort as the
first-birth probability curve was quite
wide (as in Figure 1). As seen earlier in
Figure 3, the number of women
remaining childless stayed fairly
constant up to age 35. This is when the
average expected number of childless
years dropped constantly with each
increasing year of age (Figure 5).
Page 6 [ Series 2, No. 153
1910 cohort
1935 cohort
1960 cohort
10,000
9,000
Number of first births
8,000
7,000
6,000
5,000
4,000
3,000
2,000
1,000
0
15
20
25
30
35
Age in years
40
45
49
NOTE: Based on initial cohort of 100,000 women aged 15.
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 4. Distribution of first births, by age and birth cohort of mother: United States, 1910,
1935, and 1960
Table C. Mean, median, modal, and maximum number of first births (bx ), by birth cohort of
women: United States, 1910, 1935, and 1960
Birth cohort
Summary indicators of first birth, by cohort
Mean age at first birth . . . . . . . . . . . . . . . .
Median age at first birth . . . . . . . . . . . . . . .
Modal (most common) age at first birth . . . . . .
Maximum number of first births (bx ) at any age .
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1910
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Degree of Concentration of
First Births
Another way to view the
distribution of first births relative
to age of women is in terms of
concentration (2). Concentration analysis
generally studies the degree to which a
certain proportion of producers (in this
case, women of fertile ages) dominate a
market (here, first-born children). The
greater the degree of concentration (as
measured by the Gini or Duncan
indices, for example), the greater is the
concentration of first births among
women in particular age groups.
Lorenz curves provide a visually
interpretable basis for comparing these
two indicators of concentration. The
Lorenz curves in Figure 6 map the
cumulative proportion of first births of a
cohort to the cumulative proportion of
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1935
1960
22.7
21.1
19.0
8,102.0
22.1
20.8
20.0
9,241.0
24.2
22.7
20.0
6,289.0
years exposed to childbearing. The
points on the Lorenz curve represent
statements like ‘‘in the first 35 percent
of 1935 cohort’s reproductive years (that
is, by age 27.25), 90 percent of the first
births were produced.’’ A 45-degree
diagonal line that runs from 0 through
100 percent shows the condition of
equal distribution, where the probability
distribution of having a first birth holds
constant across ages. That is, by age
32.5 (the midpoint between ages 15 and
50), 50 percent of women would have
had their first birth.
Several Lorenz curves can be
mapped on the same graph regardless of
the total number of events occurring as
the Lorenz curve and its related
indicators are independent of scale.
Accordingly, Figure 6 plots first-birth
concentrations for each of the fertility
cohorts even though the cumulative
number of first births in the maternity
tables is different for each cohort (80.3,
88.6, and 84.4 thousand first births).
To easily compare the information
of concentration (or inequality) shown
in the Lorenz curves, the Gini ratio can
be used. It is the index associated with
the proximity of the Lorenz curve to the
diagonal line of equality. The Gini
concentration quotient is the ratio of the
area that lies between the Lorenz curve
and the line of equality to the total area
below the line of equality (24). The ratio
range is 0–1. The higher the coefficient,
the greater is the concentration or
inequality. Table E shows the ratios for
the cohorts of 1910 and 1935 to be
similar (0.534 and 0.563, respectively),
but the ratio for 1960 is notably lower
at 0.447. This lower figure illustrates the
greater dispersion in age of first births
for the most recent cohort.
As stated earlier, indicators from the
Lorenz curves provide concrete
information about the pacing of first
births. At 50 percent of cumulative years
exposed (to age 32.5), the cumulative
proportions of first births were fairly
similar (in 1910, 95 percent of first
births; in 1935, 97 percent; and in 1960,
90 percent). But at a cumulative
25 percent of years exposed (to age 23),
the differences in cumulative
proportions of first births are markedly
different (in 1910, 65 percent; in 1935,
68 percent; and in 1960, 52 percent).
This is another way of expressing the
lower concentration of first births for
the 1960 cohort (Figure 6).
A second indicator of concentration,
the Duncan index, is also shown in
Figure 6 (25). Geometrically, this index
is the maximum vertical distance from
the diagonal line to the curve, showing
the exact point where there are the
greatest deviations between the diagonal
line and the Lorenz curve. It is
calculated by subtracting at each age the
value of the diagonal from the value of
the Lorenz curve. The greatest
difference indicates the age where the
concentration is highest.
As illustrated by the lengths of
these vertical lines in Table E, the
cohorts of 1910 and 1935 have the
greater indices of concentration (0.491
and 0.523), and the 1960 cohort index
Series 2, No. 153 [ Page 7
1910 cohort
1935 cohort
1960 cohort
18.0
16.0
Number of years
14.0
12.0
10.0
8.0
6.0
4.0
2.0
0.0
15
20
25
30
35
Age in years
40
45
49
NOTE: Refers to number of years women may expect to remain childless from current age to end of reproductive period.
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 5. Average number of years expected to remain childless, by age and birth cohort of
mother: United States, 1910, 1935, and 1960
Table D. Expected number of years childless, by selected age interval and birth cohort of
women: United States, 1910, 1935, and 1960
Birth cohort
Age interval of women in years
1910
1935
1960
ex
15–50 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
30–50 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
has the lesser value (0.401). These
values may be compared as they are
based on the same number of years a
woman is exposed to childbearing.
The Duncan calculations reinforce
the Gini calculations. The greatest
vertical difference for the 1910 cohort
has a value of 0.506 out of a maximum
of 1.0; the horizontal position is at the
cumulative age proportion of 37 percent
or 27 years. For 1935, the point of
highest concentration is also at age 27,
but the vertical measure of concentration
is higher, at 0.542. In 1960, it is at age
31 that the vertical distance is the
greatest, with a distance of 0.422. In
sum, the 1935 cohort has the highest
concentration and the 1960 the lowest;
additionally, the 1960 cohort has a
Duncan index occurring at the oldest
age (age 31).
13.4
15.4
10.8
14.3
13.6
12.0
Importance of Childlessness
in the Demographic Context
of the 20th Century
Childlessness is but one aspect of a
cohort’s fertility behavior. There are, of
course, those women who have had one,
two, three, four, and even higher
parities. It is the totality of the
distribution of these parities that
produce cohorts’ TFRs. Moreover, the
TFR at the end of the reproductive
period is not the only indicator of
concern. The timing of childbearing
(whether predominately early or late,
concentrated or dispersed) marks broad
trends in five decades of childbearing.
One interesting illustration of this is the
pattern of the TFR with respect to the
proportion childless for the cohorts
(1910, 1915, 1920, etc.), from 1910
through 1960.
Trends by Parity
Distribution in the
20th Century
Figures 7 and 8 show relative
frequencies of zero- and higher-order
completed parity for all cohorts
(Figure 7) and the three cohorts
(Figure 8). The low completed fertility
of the 1910 cohort shown in Figure 9
was due to the higher proportion of
women who had zero, one, or two
children. In fact, the proportion childless
stayed historically high for women born
in 1910–1915. The high TFR of the
1935 cohort was due to a combination
of the historically lowest levels of
childless and parity-one women and the
highest levels of women with four or
more children (37 percent), than had
been seen in the birth cohorts of
1900–1960. The cohort of 1960
sustained a TFR close to 2.0. This level
began before 1995 (Figure 9). It was
characterized by distinctively high levels
of women with two children
(35 percent) and moderate parities of
zero, one, and three. The 1960 cohort
had historically low levels of completed
fertility of four or more children. The
percent distribution for the parity for
these three cohorts is clearly shown in
Figure 8.
Cohort TFRs, 1950–2005
The cohort TFR is measured 50
years after the birth of the cohort when
women have essentially completed their
childbearing. TFR is the average number
of children born to women by the end
of their reproductive years. Figure 9
provides the TFRs for the years
1950–2005. During this period of
interest, the TFRs of the 1910 and 1960
cohorts were located near two low
points in the curve and the 1935
cohort’s TFR was near a high point. As
noted, childlessness is an important
component of the TFR; the high
childlessness of 1910 and 1960 and low
childlessness of 1935 influence the
corresponding TFRs.
Page 8 [ Series 2, No. 153
1910 cohort
1935 cohort
1960 cohort
Cumulative proportion of first births
1.00
0.90
0.80
0.70
0.60
0.50
0.40
0.30
0.20
0.10
0.00
0.00
0.20
0.40
0.60
Cumulative proportion of years exposed
0.80
1.00
Postponement and
Recuperation of Fertility
NOTE: Vertical lines represent Duncan Index of Concentration.
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 6. Lorenz curves of first births and Duncan Index of Concentration, by birth cohort:
United States, 1910, 1935, and 1960
Table E. Gini Concentration Ratio and Duncan Index of Concentration, by birth cohort of
women: United States, 1910, 1935, and 1960
Birth cohort
Measures of dispersion
1910
1935
1960
Gini Concentration Ratio . . . . . . . . . . . . . . . . . . . . .
Duncan Index of Concentration . . . . . . . . . . . . . . . .
0.534
0.491
0.563
0.523
0.447
0.401
In general terms, the lifetime
reproductive experience of women born
in 1910 began in 1925, a time only a
few years before the beginning of the
Great Depression. Due to economic
considerations, there was a sudden drop
in marriages, down 20 percent in 1932
from that of 1929 (26). The difficult
economic circumstances of the Great
Depression coupled with the decline in
marriage lowered the probabilities that
women would normally have a first-,
second-, or higher-order birth. World
War II affected the mid-childbearing
years both in terms of uncertainty and in
terms of large numbers of potential
fathers being away from home, which
further suppressed completed fertility
rates. Some demographers concluded
that the children who were postponed
were, in the end, never born (18).
In contrast, the women of the 1935
cohort started their reproductive ages in
1950. World War II had ended; the
members of the Armed Forces and
employees of war-related industries had
characteristics. Some of these reasons
included delaying first births (28),
delayed marriage (29), a major decline
of completed parity for black
women (7), the widespread availability
of coitus-independent means of fertility
control (21,22), and the substantial
numbers of women who entered the
labor force (30). Less educated women
also became more likely to stay
childless (31). It has been observed that
women with initial desires to remain
childless diverged by educational
attainment (32). More educated women
found that they could combine
motherhood with a professional life.
returned home to start or to resume
married life, and the economy
prospered (19).
There was a dramatic jump in the
number of marriages, with a 42-percent
increase in 1 year alone (1945–
1946) (26). In addition to the rapid
growth in the economy, families were
aided by the G.I. Bill. This legislation
and its supplements were sufficient for
Veterans to live singly or married (27).
The prosperity that it ensured led to
early and nearly universal marriage and
parenthood. With such means of
support, it was not necessary to
postpone family formation.
As shown above, completed parity
distributions were markedly different from
those of the pre-World War II period. In
addition, almost all of the women in the
1935 cohort who had children went on to
have a second-, third-, or higher-order
birth (Figure 7) (7).
For a variety of reasons, cohort
fertility fell after 1980, which was
reflected in the 1960 cohort’s fertility
Cohort fertility analysis provides the
ability to study major timing trends in
childbearing. The last century showed
trends of postponement and then
recuperation in timing of births. The
terms ‘‘postponement’’ and
‘‘recuperation’’ are dual measures of
magnitude and timing of fertility.
Postponement
An essential aspect of trends in
low-fertility countries during the past
one-half of a century has been
postponement of childbearing.
Childbearing postponement takes place
in the form of a fertility decline among
young women, which is a combination
of actual postponement as well as a
decline in the number of births. What
proportion of the fewer births were
actually postponed becomes apparent
only when the respective generation
reaches the end of its childbearing age
and it is clear how many of the
‘‘postponed’’ births were born later in
the life of these women. For a more
detailed discussion of this issue, see
section 2.6 in Frejka and Sardon (33).
Postponement of childbearing
started among the cohorts of the 1940s
of the United States, Canada, and
Northern and Western Europe. Table F
shows that the average number of
children borne by American women
prior to their 27th birthday had peaked
for the 1940 birth cohort at 1.927. But
that number had halved for the 1980
Series 2, No. 153 [ Page 9
Parity 0
Parity 1
Parity 2
1920
1930
Birth cohort
Parity 3
Parity 4 or more
Proportion per 1,000 women
400
300
200
100
0
1900
1910
1940
1960
1950
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 7. Parity distribution at completed fertility of birth cohorts: United States, 1900–1960
birth cohort (i.e., through age 26). The
childbearing delay, again shown in
Table F, had slowed down among birth
cohorts of the 1970s in the United
States in both relative and absolute
terms.
Recuperation
Childbearing recuperation is the
phenomenon of increase in age-specific
cohort rates in the later childbearing
ages of 27 and over. Less attention has
been paid in the literature to this
phenomenon although there are
considerable data. Due to the length of
the window in Table F, there are fewer
time periods in the overview of
recuperation or ‘‘catching up.’’ As seen
in Table F, the cumulative fertility rates
for ages 27–40 for the 1930 birth
cohorts dropped below one. For the
1960 birth cohort, there had been a
robust recuperation of fertility in the
older ages such that the annual rates of
change in the preceding decade had
been positive: 2 percent.
Relationship of
Childlessness to TFRs
As seen earlier, trends in
childlessness affect the completed
cohort fertility rate, but trends in the
distributions of births for other parities
affect the completed fertility rate as
well. Taken together, these factors
produce a shift in the relationship
between childlessness (y axis in
Figure 7) and completed fertility (TFR,
y axis in Figure 9), with two major
segments produced in the observed
trends (Figure 10). The first segment is
for the 1910–1935 birth cohorts and the
second is for the 1935–1960 birth
cohorts (the calendar year 1980 is the
point of inflection).
The observation has been that an
elevated percentage of women who are
childless contributes to low levels of
completed fertility (34). The proportion
childless has been mapped by other
authors (35,36), showing that the higher
the percentage childless, the lower the
TFR. However, these examples used
cross-sectional TFRs and proportions
childless from numerous countries at
various points. The data shown in this
report (Figure 10) are less ambiguous
than those of other analysts: the data
were from one country (the United
States) and represent a continuous series
of completed fertility from 1950 through
2005.
As seen in other publications, there
was a general but loose negative
relationship between proportion childless
and the TFR. When least squares
regression was applied to the data in
Figure 10, a negative relationship
between proportion childless and
fertility was also measured. Namely,
the TFR declined by one child for
a 7.5-percent increase in the proportion
of childless women.
Table F. Total fertility rates, by selected age group and birth cohorts of women: United States, 1930, 1940, 1950, 1960, 1970, and 1980
Birth cohort
Total fertility rates, by age group and birth cohort
1930
1940
1950
1960
1970
1980
1.795
--
...
1.927
0.710
1930–1940
1.165
–5.032
1940–1950
0.995
–1.577
1950–1960
0.978
–0.172
1960–1970
0.948
–0.312
1970–1980
1.389
--
...
0.849
–4.923
1930–1940
0.834
–0.178
1940–1950
0.988
1.694
1950–1960
--
--
1960–1970
--
--
1970–1980
Postponement up to age 26
Cumulated age-specific cohort rates . . . . . . . . . . . . .
Annual rates of change of percent . . . . . . . . . . . . . . .
Corresponding span of birth cohorts . . . . . . . . . . . . .
Recuperation from 27th to 40th birthday
Cumulated age-specific cohort rates . . . . . . . . . . . . .
Annual rates of change of percent . . . . . . . . . . . . . . .
Corresponding span of birth cohorts . . . . . . . . . . . . .
. . . Category not applicable.
- - - Data not available.
SOURCE: SOURCE: Frejka T, Sardon JP. Contemporary childbearing trends in low-fertility countries: A long-term perspective. Marrakech, Morocco: XXVI IUSSP International Population Conference. 2009.
Page 10 [ Series 2, No. 153
1910 cohort
1935 cohort
1960 cohort
40
35
30
Percent
25
20
15
10
5
0
0
1
2
Number of children
3
4 or more
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 8. Percent distribution of the number of children ever born, by birth cohort of
mother: United States, 1910, 1935, and 1960
3,500
Rate per 1,000 women
3,000
2,500
2,000
1910 cohort
1,500
1935 cohort
1960 cohort
(estimated)
0
1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005
Year cohort completed fertility
NOTE: Based on total fertility rates for women aged 45–49.
SOURCE: CDC/NCHS, National Vital Statistics System.
Figure 9. Total fertility rates at completed fertility of birth cohorts: United States, 1950–2005
However, given the presence of a
continuous series of data points, the
outcomes are even more informative.
Figure 10 depicts an annual plotting of
the proportion of 1,000 women at age
50 who are childless, by the
corresponding TFRs. Each point in
Figure 10 represents a birth cohort that
can also be defined as the year that
cohort reaches age 50. The figure shows
how the TFR and the percentage
childless changes over time.
Starting with the cohort of 1910 for
which the TFR was 2.3 and more than
20 percent of the cohort was childless at
age 50, each successive cohort through
the cohort of 1935 had a higher TFR
and lower percentage childless. The
cohort of 1935 had a TFR of 3.2 with
less than 10 percent of the cohort
remaining childless. Cohorts after 1935
had decreasing TFRs and increasing
percentages childless with the lowest
completed cohort TFR occurring in the
1956 cohort (1.99) with the proportion
childless at 16 percent. The horizontal
ranges in TFRs are similar; however, the
magnitudes of the slopes describing the
trends between the cohorts of 1910 and
1935, and 1935 and 1960, are
substantially different. The relationship
between the TFR and percentage
childless is much stronger between the
1910 and 1935 cohorts (slope equals
13 percent) than it is between the 1935
and 1960 cohorts (slope equals
6 percent). Only one-half the change in
percentage childless was needed in
recent years to produce the same
amount of change in the TFR as in
earlier years. In other words, the TFR
would increase by one child when the
proportion childless decreases by
13 percent in the 1910–1935 cohort
segment, and for the 1935–1960 cohort
segment, the TFR would increase by
one child when the proportion childless
decreases by 6 percent.
A demographic explanation may be
given for these differential slopes. As
can be seen in Figures 7 and 8, between
the 1910 and 1935 cohorts, the
proportion childless dropped greatly as
the proportion of women of high parity
rose to historically high levels.
While the 1960 cohort had lower
completed fertility than did the 1910
cohort, the percentage childless was
lower. The differences in final levels
were greatly affected by achieved
parities of four or more, so that the
overall fertility of women in these
earlier cohorts with their greater family
size was less affected by the proportion
of childless women than the later
cohorts with their smaller family size.
Hence, in these series, the TFR depends
not only on the percentage childlessness,
but on the entire fertility distribution.
There is little variation in data
points around the long-term trends
represented by the long segments in
Figure 10. The amount of variation
explained by the least squares equations
linking childlessness and completed
cohort fertility is quite high: 82 percent
for the more recent segment of years
and 92 percent for the previous ones.
These tight relationships imply strict
trends in U.S. demographic history that
were reversed when a series of events
related to post-World War II prosperity
Proportion childless per 1,000 women
Series 2, No. 153 [ Page 11
250
1910 (1955)
200
150
1960 (2005)
1955
1915
1920
1925
1950
100
1945
1930 1935 (1980)
1940
50
0
2,000
2,200
2,400
2,600
2,800
3,000
3,200
Rate per 1,000 women
NOTES: Year cohort completed fertility in parentheses. Based on proportion childless and total fertility rate for women aged 45–49.
SOURCES: CDC/NCHS, National Vital Statistics System and Table 186 of reference 7.
Figure 10. Proportion childless and total fertility rate at completed fertility, by birth cohorts:
United States, 1910–1960
reversed the decline in fertility that had
been occurring for decades.
An economic interpretation for the
childlessness–TFR relationship has been
noted. Once a family has a child, it may
go on to have more children because
any goods are substitutable. For
example, goods can be passed on from
one child to the next, a car can hold
three children as well as it can hold one,
two children may share a house as
easily as may one, etc. (2). It has been
further observed that in recent times,
once having had one child, the
probabilities to have additional ones
have remained fairly high (1).
Conclusion
Current low and late fertility and
increased childlessness has been
observed in all of Europe and in much
of North America. This ‘‘second
demographic transition’’ (37) is
consistent with an observed increase in
individual autonomy and a growth in
gender equality. At the same time, there
is the increase in socioeconomic
activities competitive with childbearing.
In the United States, education and
career have been reported as important
factors in women’s decisions to delay
marriage and motherhood. From 1970 to
2005, the female labor force
participation rate increased by
37 percent and the percentage of women
having completed four or more years of
college had more than tripled (38).
Studies (1,3) found that older women
are childless for both voluntary and
involuntary reasons; age is the primary
explanatory variable for involuntary
childlessness for older women due to
subfecundability and decreased partner
availability. In the United States,
childlessness may have plateaued (3) or
may continue to rise as this country
adopts more of the demographic and
social attributes recently seen in
Europe (39).
In sum, the various indicators for
the transitions to first birth for the 1910,
1935, and 1960 birth cohorts are closely
tied to the social, economic, and
historical features of the periods during
which these women spent their
childbearing years. The 1910 cohort
passed the important portion of its
childbearing years during the Great
Depression. Average age of marriage
increased while a record number of
women never married. Of the three
cohorts, the 1910 cohort had the largest
proportion of women who did not have
children. As well, the largest proportion
of these women had only one birth,
contributing to the low TFR of 2.35.
The 1935 cohort passed its principal
reproductive years during the prosperous
post-World War II era. Men were often
sole bread earners and many factors
kept women in the home with their roles
circumscribed to motherhood. These
women married young, began their
childbearing young, and were the cohort
among the three to have the least
childlessness.
The 1960 birth cohort moved
through a very different socioeconomic
era. The obstacles to educational and
employment opportunities were
eliminated. Along with the availability
of modern contraception, ‘‘choice’’ in
whether and when to become mothers is
shown by the first-birth probability curve.
This concentration curve is far flatter than
that of the other two cohorts. The
proportion of women who had first births
is intermediate and the concentration
measures of first births are the lowest. The
TFR of the 1960 cohort (2.00) is among
the century’s lowest.
What will the future hold for the
next generation, the birth cohort of
1985? It began its childbearing years in
a society socially divided on means and
financing of fertility regulation.
Childbearing outside of marriage has
increased significantly (40): the
percentage of births occurring outside of
marriage has increased from
33.2 percent in 2000 when the cohort
was aged 15, to 41 percent in 2009. The
cohort moved into its key childbearing
years during a significant recession;
fertility dropped in 2009 to replacement
levels (40). A repeat of the current study
could be made in 10 years, using similar
measures, providing better insight on the
socioeconomic factors affecting the
first-birth transitions of the 1985 cohort.
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