State abortion legislation as a public good - before and after Roe v. Wade.
Conway, Karen Smith ; Butler, Michael R.
I. INTRODUCTION
Prior to the 1973 Roe v. Wade ruling, each state could choose whether
to restrict the availability of abortions just as it could choose to
regulate the availability or total amount of any publicly provided good.
In this paper we extend the theory of public goods and collective
decision-making to abortion legislation. Abortion legislation is treated
as a publicly provided good that results from the collective
decision-making of the electorate. The median voter theorem then
provides a convenient framework in which to identify the determinants of
abortion legislation. Using state-level data prior to Roe v. Wade, we
estimate the public demand for abortion legislation and predict the
likely outcome for each state if Roe v. Wade is overturned. Our
predictions should remain relevant even if it is not overturned,
inasmuch as the Supreme Court's decision in Webster v. Reproductive
Services (1989) upheld states' rights to regulate or restrict the
availability of abortion.
Identifying and estimating the public demand for abortion
legislation, however, entails two complications not usually found in the
typical public demand/median voter model pioneered by Bergstrom and
Goodman |1973~. First and most serious, there are two kinds of demand
for abortion legislation, which we refer to as external and private
demand.(1) The external demand for abortion legislation stems from the
external costs or benefits conferred on the voter by the availability of
abortion (or the lack thereof) and is reflected in the preferences of
all voters. Private demand derives from the direct effect the
availability of abortion may have on an individual who may some day
choose to have one; by definition, then, only women of childbearing age
have a private demand for abortion legislation. The public demand of the
electorate is thus a combination of these two kinds of demand.
The second complication concerns the econometric specification of the
public demand for abortion legislation. Specifically, there are only a
finite number of possible choices for abortion legislation. We define
three categories: (1) abortion is prohibited with very few exceptions,
(2) abortion is significantly restricted, and (3) abortion is relatively
unrestricted.(2) This categorical variable, Y, suggests an underlying
variable, revealed public sentiment towards abortion, Y*, and is
therefore most appropriately specified as an ordered-response model.
Using state-level data prior to 1973, we estimate an ordered-response
model of the public demand for abortion legislation. Our empirical
results identify the determinants of the public demand for abortion
legislation, provide insight into the relative importance of external
versus private demand, and allow us to predict the likelihood that
abortion will be restricted or prohibited in any given state if Roe v.
Wade is overturned.
It is illuminating to compare our methodology (and our ensuing empirical results) to that of Medoff |1989~ and subsequent research by
Chressanthis, Gilbert and Grimes |1991~, and Gohmann and Ohsfeldt
|1990a; 1990b~. Medoff |1989~ also estimates the public demand for
abortion legislation as a function of the characteristics of the
electorate; however, his model assumes that abortion legislation is the
result of competing constituencies, such as women in white collar
professions, certain religious groups or nonwhites. Our specification
also includes these population characteristics (and others), but it
derives directly from a theoretical model in which abortion legislation
is a public good with a public demand consisting of external and private
components. We differ on our empirical approach also. Medoff |1989~ uses
each state's U.S. Senators' votes on the Hatch/Eagleton
amendment as an indicator of the sentiment towards abortion and probable
legislation if Roe v. Wade is overturned. He then uses the empirical
estimates to predict (within sample) what would happen if Roe v. Wade is
indeed overturned. In contrast, we use information about how each state
behaved prior to Roe v. Wade to forecast how it would behave if that
rulings' restrictions were again removed, taking into account that
the preferences of the state may have changed in the interim. We argue
that examining the actual legislation that resuited when states were
completely free to prohibit or restrict abortion availability should be
a better measure of public demand than Senate votes on an amendment that
returns states to this situation by overturning Roe v. Wade.
Chressanthis et al. |1991~, and Gohmann and Ohsfeldt |1990a; 1990b~
build on Medoff in a different way by investigating the roles that
legislator idealogy and shirking(3), in addition to constituent
preferences, play in determining how Senators voted on the amendment.
While our analysis does not explicitly consider legislative shirking, we
argue that such shirking should be less important in an unrestricted
climate since (1) the political cost of shirking will likely be higher
inasmuch as voters would now perceive the legislator's power to
directly determine the legal status of abortion, and (2) the legal
status of abortion will ultimately be determined by state
governments(4), who are (arguably) more accountable to their
constituents. As a result we contend that the electorate will ultimately
determine the legal status of abortion and that state law prior to Roe
v. Wade, as opposed to the votes of U.S. Senators, is a superior measure
of the public demand for abortion legislation.
II. A THEORETICAL MODEL
Formulating the Voter's Demand
A theoretical model of the public demand for abortion legislation
must somehow account for the fact that voters may be affected both
indirectly (through the abortions performed on others) and directly (the
decision to have an abortion oneself) by the availability of abortions.
All voters can be indirectly affected by the availability of abortions,
and this external effect may be either positive or negative. For
instance, parents of a teenage daughter may receive external benefits
from knowing that abortions are readily available. Conversely, that same
legislation may impose external costs on the voter if abortion conflicts
with his or her religious or philosophical beliefs. Such external
benefits or costs form the voter's external demand for the
availability of abortion, which can be written as
|Mathematical Expression Omitted~
where e denotes the external demand, i = 1,...,|N.sub.j~ voters,
j=1,...,M states, |X.sup.e~ is a 1 x k vector of taste variables
influencing the external demand, and ||Beta~.sup.e~ are the parameters
to be estimated.
For those voters who could have an abortion themselves, there is a
direct effect of abortion legislation also. For instance, a woman of
child-bearing age should not only consider the effects of the abortions
performed on others (the external demand), but the effect that the
availability of abortion could have on her own decisions. The latter
effect forms the private demand for abortion availability. Medoff |1988~
estimates the demand for abortions as a function of price, income, and a
number of taste variables. The private demand for abortion availability
may be similar, but not identical, to the private demand for abortions,
as the former relates to the potential of having a private demand for
abortion. In particular, the private demand for abortion legislation
does not necessarily have to be positive if voters find the ability to
have an abortion oneself especially troubling. We can write the private
demand for abortion availability as
|Mathematical Expression Omitted~
where p now denotes the private demand for abortion legislation, and
|X.sup.p~ and ||Beta~.sup.p~ refer to the variables and parameters of
the private demand function. The public demand for abortion legislation
by voter i in state j, then, is the sum of the external and private
demands, or
|Mathematical Expression Omitted~
where |Theta~ equals one if the voter could potentially have an
abortion and equals zero otherwise. The model written in (3) is similar
to that specified by Wyckoff |1984~ who estimates the "social"
and "private" demands for education. Households with children
in school possess both demands for education, whereas households without
children in school express only a social demand. We posit that the
demand for abortion legislation may exhibit the same type of dichotomy
between voters who could have an abortion and those who could not.
Applying the Median Voter Theorem
According to the median voter theorem, if all preferences for
abortion legislation are single-peaked (which seems reasonable), then
the outcome of majority voting should reflect the preferences of the
median voter. Applying the median voter theorem, then, suggests that the
abortion legislation in any given state (prior to Roe v. Wade which
prohibited certain outcomes), |Q*.sub.j~, reflects the public demand of
the median voter, or
|Mathematical Expression Omitted~
where |Mathematical Expression Omitted~ and |Mathematical Expression
Omitted~ are the characteristics of the median voter that determine his
or her external and private demand, respectively. Prob(||Theta~.sub.mj~
= 1) is the probability that the median voter has a private demand, and
is approximated by (|n.sub.j~/|N.sub.j~), where |N.sub.j~ is the total
voting population and |n.sub.j~ is the population of voters who have a
private demand (women of child-bearing age). Extending the typical
public good/median voter model to abortion legislation and taking
account of the two types of demands leads to an abortion availability
demand equation that is a function of the characteristics of the median
voter and of the probability that he or she also has a private demand
for abortion availability.
While (|n.sub.j~/|N.sub.j~) is the logical and perhaps the only
practical choice as an approximation for Prob(||Theta~.sub.mj~ = 1), its
validity will depend upon the distributions of |Mathematical Expression
Omitted~, |Mathematical Expression Omitted~, and ||Theta~.sub.ij~. In
particular, it may tend to overestimate the probability that the median
voter has a private demand, as illustrated by two realistic scenarios.
Assume for simplicity that ||Theta~.sub.ij~ is distributed independently
of the external demand and that the mean of the private demands is
positive, or |Mathematical Expression Omitted~. Given these assumptions,
(|n.sub.j~/|N.sub.j~) will tend to overestimate Prob(||Theta~.sub.mj~ =
1) if (1) the private and external demands are positively correlated, or
(2) the distribution of external demands has a greater density in the
middle of the distribution (e.g., a normal as opposed to a uniform
distribution). In the first scenario, adding the private demand flattens
the distribution of total demands and pushes voters with private demands
to one or both (if private demand can also be negative) tails of the
distribution. In the second, adding the private demand stretches the
distribution of total demands to the right (more positive) and moves
more voters with private demands out of the middle of the distribution
than it will move into it. This disproportionate movement out of the
middle is caused by the higher density of external demands around the
center of the distribution. In either scenario, the probability that the
median voter will have a private demand is less than the simple
probability that any one voter will have one, or (|n.sub.j~/|N.sub.j~).
Although admittedly imperfect, we believe (|n.sub.j~/|N.sub.j~) to be
the only objective measure of Prob(||Theta~.sub.mj~ = 1) available. And,
given one or both of the above scenarios, we can be fairly confident of
the direction of its potential bias. Because it will tend to overstate
the probability that the median voter has a private demand, it will
place too much weight on the private demand component and therefore bias
the estimates of ||Beta~.sup.p~ towards zero. Thus, the factors
influencing private demand may be even more important in determining
state abortion legislation than our results suggest.
Econometric Specification
The model derived above yields a demand relationship for Q*, which
can be interpreted as the revealed public sentiment towards the
availability of abortion. First, we rewrite this relationship as a
stochastic relationship,
|Mathematical Expression Omitted~
where |Epsilon~ is an error term capturing the random factors that
influence both the demand of the median voter and the political outcome
in each state. However, we do not observe Q*; instead, all we observe is
the resulting abortion legislation, Q, which is a discrete random
variable that is related to Q* in the following manner:
(6) abortion prohibited:
Q = 0 if Q* |is less than~ |Q.sub.a~
abortion restricted:
Q = 1 if |Q.sub.a~ |is less than~ Q* |is less than~ |Q.sub.b~
abortion unrestricted:
Q = 2 if |Q.sub.b~ |is less than~ Q*
The model described in equations (5) and (6) is thus an ordered
response model that may be estimated using either ordered probit or
ordered logit, depending on the assumed distribution of |Epsilon~.(5) In
estimating the model, one cannot identify both the constant and the two
thresholds, |Q.sub.a~ and |Q.sub.b~, so |Q.sub.a~ is typically
normalized to zero. As a result, |Q.sub.b~ should be greater than zero
in order to be consistent with the ordered response framework.
III. EMPIRICAL ANALYSIS
Description of the Data
We use the abortion legislation in each state prior to Roe v. Wade as
our indicator of public sentiment towards abortion. States are
classified into three categories depending on whether abortion was (1)
prohibited except to save the life of the mother or in the case of
forcible rape, (2) restricted, where specific conditions, such as
preserving the "health" of the mother, must be met, and (3)
unrestricted, where no legal restrictions are placed on abortions
performed prior to the viability of the fetus.(6) Due to limitations
posed by the available census data, we must use mean values for the
total population aged 18 and over to approximate the characteristics of
the median voter that influence the demand for abortion legislation.
Clearly, this approximation is only valid if the voting population is
representative of the total population, and if the median voter is
indeed the individual with the mean characteristics. We also control for
the fact that certain subgroups of voters may have different external
demands by including the proportion of the population that belong to the
subgroup as an approximation of the probability that the median voter
will belong to that subgroup. For the private demand equation, we use
the mean characteristics of the population of women of child-bearing and
voting age, which we define to be between 18 and 44 years of age.(7)
Table I lists the variables included in the external and private
components of the demand for abortion legislation in our broadest
specification. |X.sup.e~ includes income, percentage with a high school
education, percent married, doctors per 100,000 people, percent Catholic
or Southern Baptist (both of which are religious organizations strongly
opposed to abortion), population density, percent nonwhite, percentage
of female-headed households in poverty, percent voting Democratic in the
last gubernatorial election, and the proportion of TABULAR DATA OMITTED
the population over 18 that consists of women aged 18 to 44.(8) Income,
education, marital status, race and religious affiliation are included
as factors that may be correlated with a person's sentiment towards
the availability of abortion. Doctors, as a group, may also have
different preferences towards abortion and may have a financial interest
in the legal status of abortion. In addition, doctors per 100,000 may be
an indicator of the availability of medical care, including abortions.
Population density may capture both the extent to which voters are
affected by the actions of others and the degree of urbanization in a
given state. Percentage of female-headed households in poverty may
influence the external demand as a proxy for the costs of the Aid to
Families with Dependent Children (AFDC) program. For instance, abortion
may reduce state expenditures for AFDC if it reduces the number of women
and children eligible for the program. Finally, percent voting
Democratic may capture any voter idealogies or preferences not explained
by the other variables.
The variables in the private demand equation are similar to those
used by Medoff |1988~. Mean income of women aged 18 to 44 may affect the
private demand for abortion legislation both as a proxy for the ability
to pay for an abortion (Medoff's 1988 argument) and for the
opportunity cost of the time spent being pregnant with and then bearing
an unplanned child. The percentage of women aged 18 to 44 having
graduated from high school may lessen the private demand by increasing
knowledge of contraceptives, as in Medoff |1988, 357~, or increase
demand as yet another proxy for the opportunity cost of the time spent
being pregnant.(9) Marital status has an impact on the potential private
demand as the costs of bearing an unplanned child are likely higher for
unmarried women. Percent nonwhite is included as another taste variable
that may affect the demand for abortion, as in Medoff |1989~, and
percentage of female-headed households in poverty again captures the
effect of AFDC and its impact on a woman's private demand for
abortion legislation. Finally, percentage of women 18 to 44
participating in the labor force reflects the higher opportunity cost of
unexpected pregnancy, regardless of marital status, of women who are
working for pay.
In order to predict the legal status of abortion in each state should
Roe v. Wade be overturned, we must collect this information for the most
current year possible. Unfortunately, for many variables 1980 is the
most recent year available. In these cases, we predicted the current
value by using a combination of national and statelevel growth trends of
similar variables for which there was information available. The data
sources for the variables in both years, as well as our method of
constructing the current values are discussed in the appendix, and the
means and standard deviations are listed in Table II. For completeness,
we also report the number of states in which each variable increased
between 1970 and the present.
Results of Estimation
We estimate the model written in (5) and (6) using both ordered
probit and ordered logit analysis. Because the signs and statistical
significance of the coefficients are the same across techniques and
ordered logit consistently outperforms the ordered probit in prediction
(within sample), we report only the results for the ordered logit model
in Table III.(10) The "broadest" model includes all of the
variables mentioned above and produces no statistically significant
coefficients, although the overall goodness of fit of the model is quite
high, yielding a Chi-squared statistic that is significant at a 0.06
percent level. Because our regressors are highly collinear(11) and in
order to preserve a reasonable number of degrees of freedom, we drop
several variables from our "broadest" model to arrive at our
"best" model. We drop income, education and marital status
from the external demand because of the little explanatory power
demonstrated by the variables in the broadest model and the
variables' high collinearity with the corresponding variables in
the private demand equation. From a theoretical viewpoint, we argue that
these variables should be more important in the private demand for
abortion legislation. We also drop education from the private demand
equation, arguing that most of the effects of education should be
captured by the income and labor force participation variables.(12)
TABULAR DATA OMITTED
The results from our "best" model differ from the
"broadest" model in the expected manner and are listed in the
second column. First, several of the variables that are almost
statistically different from zero in the "broadest" model
become significant. Specifically, the number of doctors per 100,000
people and the percentage of the population that is nonwhite have
positive effects on the external demand for abortion legislation
(leading to fewer restrictions), and the percentage of the population
belonging to either the Catholic or Southern Baptist church and the
poverty rate of female-headed households have negative impacts. Income
and the poverty rate of female-headed households have positive
influences on the private demand for abortion legislation, whereas the
percent of the female population that is nonwhite has a negative impact.
Finally, the proportion of women of childbearing age, which belongs in
both demand components, is significantly negative and, as expected, the
estimate of the upper threshold (|Q.sub.b~ in equation (6)) is
significantly positive.
One variable of interest that is not statistically significant is
percentage voting Democratic, which we included in an attempt to capture
any voter idealogies not captured by the other taste variables. We
therefore find its statistical insignificance to be a reassuring result.
The overall goodness of fit is diminished very little in the
"best" over the "broadest" model and the omitted
variables are not statistically significant (based on a likelihood ratio
test) at a level as low as even 50 percent. The model correctly predicts
the legal status of abortion in 37 out of 51 "states,"(13) and
has a Chi-squared statistic that is significant at the 0.02 percent
level. Because of its relative parsimony and ability to predict, we
choose this specification as our "best" model.
Also of interest is the relative importance of the external and
private demands in determining the legal status of abortion. Columns 3
and 4 in Table III report the TABULAR DATA OMITTED results of setting
the private and the external demands, respectively, to zero. The
proportion of the population that is women of childbearing and voting
age is included in both demands, as the variable itself may affect the
external demand for abortion legislation, as well as capture the
constant in the private demand equation. In each case, we perform a
likelihood ratio test, as suggested by Maddala |1983, 49~, to test for
the significance of the omitted component and reject that either the
external or the private demand is zero at a 1 percent significance
level. Thus, both demand components are statistically important in
determining state abortion legislation.
A final issue is whether the variables we include in |X.sup.p~ are
really components of the private demand equation or if they are actually
part of external demand. We can explore this concern by estimating the
model,
|Mathematical Expression Omitted~
and testing whether ||Beta~.sup.p~ or |Mathematical Expression
Omitted~ is equal to zero. On the basis of likelihood ratio tests, we
can reject that ||Beta~.sup.p~ = 0 at a 10 percent level of
significance, whereas we fail to reject that |Mathematical Expression
Omitted~ at even a 50 percent level.(14) The data therefore supports our
distinction between variables affecting the private as opposed to the
external demand for abortion legislation and provides evidence that both
demand components are statistically important in determining the
legislative outcome.
Prediction for Each State
Using current values of the explanatory variables and the estimated
parameters from our "best" model, we can predict the likely
legal status of abortion if states can once again make unrestricted
choices.(15) However, our approach has a potential for bias that depends
on the specifics of any ruling that overturns Roe v. Wade. Specifically,
if overturning Roe v. Wade will eliminate all constraints on state-level
regulation of abortion, as is likely, then our approach will overstate
the probability that abortion will be restricted. Such a bias occurs
because the laws existing in 1970 may have evolved very gradually,
without a clear "starting point." If Roe v. Wade is
overturned, a clear "starting point" will exist for each state
from which it must decide whether or not to deviate. In other words,
there is a "cost" in moving from the status quo that is not
adequately captured in our model. Thus, our predictions will, if
anything, overestimate the restrictions placed on abortion if Roe v.
Wade is overturned.
The upper portion of Table IV lists the legal status of abortion by
state in 1970, with an asterisk(s) to denote if our model incorrectly
predicted the status for a given state. The lower portion of Table IV
lists the predicted legal status of abortion with an asterisk(s) to
denote a change in legal status from 1970. The most striking trend in
Table IV is how our model predicts that the country as a whole will
place fewer restrictions on abortions than it did in 1970. Specifically,
only twenty states will "prohibit" abortion (compared to
thirty in 1970), and eight will place "no" restrictions on
abortions (as compared to only four in 1970). Furthermore, if the legal
status of a state is predicted to change, nineteen out of twenty-five
times it is to a less restrictive status. The statistics listed in Table
II, particularly column 3, provide a partial explanation for this
phenomenon. From 1970 to the present, the number of doctors per 100,000
has increased in every state and a great deal on average, from 143 to
198. Also, the percent of the population that is nonwhite has increased
and the percent belonging to either the Catholic or Southern Baptist
church has decreased in over two-thirds of the states, and the real
income of women aged 18 to 44 (multiplied by their proportion of the
population) has increased in all of the states. However, looking at the
other variables indicates conflicting influences on the total demand for
abortion legislation.(16) Surprisingly, changes in the determinants of
the external demand lead to fewer restrictions overall, whereas changes
in the determinants of the private demand suggest greater restrictions.
In order to better determine the importance of the private demand
component, we also made predictions using the parameter estimates from
the external demand only model specification. These predictions are
reported in Table V. Removing the private demand from our specification
reduces the number of states that will prohibit abortion and increases
the number that will either significantly restrict or place
"no" restrictions on abortion. Thus, omitting the private
demand component biases our predictions towards even less restrictive
abortion legislation. Such a finding implies that the private demand
component may not result in less restrictive abortion legislation, and
indeed appears to polarize the states. This unintuitive result may be
due to the fact that our private demand specification may also be
capturing the different external demands of women of childbearing age,
and the empirical results suggest that this difference varies widely.
Such a conclusion appears consistent with casual observation.
TABULAR DATA OMITTED
TABULAR DATA OMITTED
For purposes of comparison, Table VI summarizes Medoff's |1989~
predictions and includes Newsweek's |1989~ predictions about what
would happen in each state if Roe v. Wade is overturned. In general our
predictions suggest that fewer states will prohibit or
"abolish" abortion.(17) We conclude that our predictions
differ because our model emphasizes the tastes and preferences of the
general voting population, instead of political (and idealogical)
factors such as the actions and opinions of current legislators (most of
whom were elected at a time when abortion legislation was restricted by
Roe v. Wade, and therefore may have faced a relatively low cost of
shirking on abortion issues). Our results coincide with what most
opinion polls suggest--that the electorate tends to be in favor of less
restrictive abortion legislation than that espoused (at least until
recently) by many of its political leaders.
IV. CONCLUSION
The legal status of abortion in the United States has increasingly
come into question as a result of recent Supreme Court decisions (e.g.,
Webster vs. Reproductive Services) and changes in the make-up of the
Court. It is not at all unlikely that the Court's landmark 1973
decision in Roe v. Wade striking down restrictive state abortion
statutes could be overturned in the near future. If Roe v. Wade were to
be overturned, each state would again be free to either prohibit or
significantly restrict abortion. In this paper we have developed a
theoretical model of the public demand for abortion legislation,
estimated the model using the legal status of abortion in each state
prior to Roe v. Wade, and then, using current data, predicted the legal
status of abortion in each state should Roe v. Wade be overturned.
Our approach rests on the premise that in an unrestricted climate
(such as in the absence of Roe v. Wade), public demand, rather than the
expressed preferences of current elected officials, will ultimately
determine the legal status of abortion in each state. In the current
restrictive climate the political cost to legislators of shirking on
abortion issues may be small, thereby possibly causing a divergence between the actions of government officials and the preferences of their
constituents. In this context, it is not surprising that our predictions
(which are based on the preferences of the electorate) differ from the
predictions of studies that emphasize the behavior of current government
officials. In the absence of Roe v. Wade, we argue that the cost of
shirking will increase a great deal, and that the electorate will
therefore ultimately determine the legal status of abortion. Already,
with Roe v. Wade only under siege, recent elections have borne witness
to several "conversions" by candidates to positions on
abortion that more closely match those of their constituents. If such a
trend continues, our predictions, which are based on the characteristics
of the electorate and suggest a less restrictive stance toward abortion,
should prove to be superior.
TABULAR DATA OMITTED
APPENDIX
State-level data was collected for the two populations being
considered, (1) all persons of voting age, and (2) all females of both
voting and childbearing age (defined to be between the ages of 18 and
44). Data for the population subsets is from the U.S. Bureau of the
Census's Census of the Population; Detailed Characteristics. The
1970 Census Series was the source for the data prior to Roe v. Wade, and
comparable data for 1980 was collected from the 1980 Census Series. Many
variables were not available by age, by sex, and/or by state for any
year more recent than 1980. Consequently, we forecast variables for 1988
using either state level growth trends (which are not reported by sex or
age) or national level growth trends (which are reported by sex or age)
calculated for the interim 1980-1988. Our choice of state or national
growth trend hinged upon where the greatest variation appeared to
be--between the sex and age groups or across states. Most of the data
used in calculating growth rates is available in the Statistical
Abstract series.
Variables referring to the state population as a whole (as opposed to
a particular subpopulation) were more readily available. Population per
square mile (population density) and the number of physicians per
100,000 residents are available for each state for both 1970 and 1988 in
the Statistical Abstract series. Data for the number of Catholics and
Southern Baptists are available by state for the years 1970 and 1980 and
are published in Churches and Church Membership in the US: 1974, 1982,
respectively. To obtain current state-level data, growth in national
membership for the respective religious groups was used to project state
figures for 1988. The gubernatorial election results data were obtained
from the Congressional Quarterly's Guide to U.S. Elections |1985~,
Almanac of American Politics: 1988 and the 1987 to 1989 volumes of the
Congressional Quarterly Almanac. And, finally, the legal status of
abortion in 1970 was found in From Crime to Choice. A more detailed
discussion of the variables used and the sources in which they were
located is available upon request.
1. Wyckoff |1984~ addresses a similar issue in estimating the public
demand for education.
2. In this paper, we focus on the legal status of abortion in each
state prior to Roe v. Wade, rather than the restrictions placed on the
provision of abortions in publicly funded facilities. The latter
restrictions are largely irrelevant prior to Roe v. Wade because any
abortion (regardless of where it was performed) was significantly
restricted or prohibited in the vast majority of states. Current
legislation aimed at abortions in public facilities may simply be the
states' responses to the legal constraint posed by Roe v. Wade.
3. See also Nelson and Silberberg |1987~.
4. Gohmann and Ohsfeldt |1990a~ make a similar point.
5. For further discussion, see Maddala |1983, ch. 2~.
6. The status of each state is listed in Table IV, where our
predictions are also listed. The legal status is found in Davis |1985~.
7. This upper limit on the child-bearing age of women corresponds to
Medoff |1988~. Also, the Vital Statistics of the United States |1990~
reports a rate of just .5 live births per 1000 women aged 45-49 years in
1970, as compared to a rate of 8.1 live births per 1000 women aged 40-44
years. Finally, the Current Population Reports of the Bureau of the
Census (Fertility of American Women) reports fertility data for women
aged 18-44.
8. We experimented with several other variable specifications, such
as treating Southern Baptists and Catholics separately, and including
the percent voting Republican, as well as the party affiliation of the
current governor. In contrast to Medoff's |1989~ results, we did
not find Southern Baptists alone to have a significant impact, and the
percent Catholic alone typically was not significant either. Combining
the two consistently produced a significant impact; this may be due to
the concentration of Southern Baptists in the south and of Catholics in
the northeast. As for the political variables, these seemed to have
little impact regardless of the variable chosen. To make the model as
parsimonious as possible, we used only percent voting Democratic. We
believe this to be a superior variable because it indicates both the
outcome of the election (and therefore the party of the governor) and
also the degree of Democratic party affiliation. The complete set of
results are available upon request from the authors.
9. Medoff |1988~ does not find education to be a significant
determinant in an abortion demand equation. We also find it to be
insignificant, and subsequently drop it from our "best" model.
10. Again, the complete results are available upon request.
11. Specifically, the condition index, which is defined as the ratio
of the largest eigenvalue to the smallest eigenvalue of the data matrix,
is 1076 which is indicative of extremely severe multicollinearity. For
more discussion of the condition index, see Judge et al. |1985, 902~.
12. Auxilliary regressions on these variables as a function of the
other K-1 independent variables produced R-squareds of .95, .92, .84,
and .94, respectively, lending support to our decision to drop them from
the model.
13. We include the District of Columbia in our study.
14. The full set of results is available upon request.
15. Clearly these predictions are valid only if the true parameters
of the public demand equation have not changed since 1970. This is an
admittedly stringent assumption, but a necessary one if we are to use
our model to predict out of sample.
16. Specifically, changes in the percent voting Democratic and the
percentage of female-headed households in poverty both acted to decrease
the likelihood that abortion would be prohibited, whereas changes in
population density, the proportion of voters with a private demand
(|n.sub.j~/|N.sub.j~), (|n.sub.j~/|N.sub.j~) percent of women aged 18-44
who are married, (|n.sub.j~/|N.sub.j~) percent of female-headed
households in poverty, (|n.sub.j~/|N.sub.j~) labor force participation
rate of women aged 18-44, and (|n.sub.j~/|N.sub.j~) percent of women
aged 18-44 who are nonwhite all acted to increase the probability that
abortion would be prohibited.
17. We should mention here that our predictions are fairly robust to
model specification. We constructed predictions using the
"broadest" model specification and parameters estimated with
the District of Columbia (a very influential outlier) omitted. Both sets
of predictions are very similar to those projected by the
"best" model, but suggest slightly less restrictive
legislation. This, in conjunction with the bias caused by our model not
capturing the "cost" of moving from the status quo that was
discussed above, implies that the predictions reported in Table IV
overestimate the restrictions placed on abortion.
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KAREN SMITH CONWAY is Assistant Professor, University of New
Hampshire and MICHAEL R. BUTLER is Associate Professor, Texas Christian
University. The authors thank Kelly Chaston for her superb research
assistance, and Morris Coats, Adrienne McElwain Steiner and two
anonymous referees for their comments.