social gains from female education: a cross-national study

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Social Gains from Female Education: A Cross-National Study Author(s): K. Subbarao and Laura Raney Source: Economic Development and Cultural Change, Vol. 44, No. 1 (Oct., 1995), pp. 105-128 Published by: The University of Chicago Press Stable URL: http://www.jstor.org/stable/1154258 . Accessed: 24/09/2013 08:39 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. . The University of Chicago Press is collaborating with JSTOR to digitize, preserve and extend access to Economic Development and Cultural Change. http://www.jstor.org This content downloaded from 128.210.126.199 on Tue, 24 Sep 2013 08:39:38 AM All use subject to JSTOR Terms and Conditions

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Page 1: Social Gains from Female Education: A Cross-National Study

Social Gains from Female Education: A Cross-National StudyAuthor(s): K. Subbarao and Laura RaneySource: Economic Development and Cultural Change, Vol. 44, No. 1 (Oct., 1995), pp. 105-128Published by: The University of Chicago PressStable URL: http://www.jstor.org/stable/1154258 .

Accessed: 24/09/2013 08:39

Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at .http://www.jstor.org/page/info/about/policies/terms.jsp

.JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range ofcontent in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new formsof scholarship. For more information about JSTOR, please contact [email protected].

.

The University of Chicago Press is collaborating with JSTOR to digitize, preserve and extend access toEconomic Development and Cultural Change.

http://www.jstor.org

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Page 2: Social Gains from Female Education: A Cross-National Study

Social Gains from Female Education: A Cross-National Study*

K. Subbarao World Bank

Laura Raney University of Maryland, College Park

I. Introduction Female education increases the value of women's time in economic activities by raising labor productivity and wages, with a consequential rise in household incomes and a reduction in poverty. Female educa- tion also produces social gains by improving health (the woman's own health and the health of her children), increasing child schooling, and reducing fertility. This article is concerned with the estimation of these social gains from female secondary education (measured as gross en- rollment rates in secondary school). That female education contributes to lower fertility and lower infant and child mortality is well known. However, the extent to which female education interacts with health and family planning programs and policies is less clear.

This article examines the role of female secondary education rela- tive to and in combination with health and family planning programs and policies that reduce fertility and infant mortality. The article is based on cross-country data from 72 developing countries, accounting for over 95% of the population of developing countries, drawn from World Bank and other data sources. The period of investigation is 1970-85. The analysis generally shows that female secondary educa- tion, family planning, and health programs all affect fertility and mor- tality, and that the effect of female secondary education appears to be very strong. Moreover, our results suggest that family planning will reduce fertility more when combined with female education, especially in countries that now have low female secondary school enrollment levels. The elasticities of fertility and infant mortality with respect to female education substantially exceed those with respect to family

? 1995 by The University of Chicago. All rights reserved. 0013-0079/96/4401-0004$01.00

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106 Economic Development and Cultural Change

planning and health programs when the elasticities are estimated with appropriate controls.

The results from these cross-country regressions should be inter- preted cautiously as they may not be representative of a particular country's experience and reflect the usual problems of relying on na- tional averages. Although endogeneity of services may be less of a problem in cross-country data, using cross-country data imposes a common structure on the econometric relationship between the vari- ables. However, the results are broadly similar to a number of micro studies and to another cross-country study, that by W. P. Mauldin and J. A. Ross, which found that the direct effect of family planning effort is less than the total effects of socioeconomic factors including edu- cation.1

The article is organized as follows. The basic analytical framework and the models to be tested are described in Section II. Definitions, data sources, and limitations are discussed briefly in Section III. The results from cross-country equations are discussed in Section IV. Some policy simulations are attempted in Section V. Finally, the con- cluding section draws some inferences for policy.

II. Analytical Framework and Reduced Form Equations A. Analytical Framework For most couples, achieving a pregnancy does not require a deliberate decision, but avoiding a pregnancy does. Following B. K. Herz, this section outlines a structural framework focusing on the factors de- termining the number of children parents want and the parents' ability to limit births to that number, with particular reference to the role of female education in influencing parental decisions and abilities.2

The total fertility rate (TFR)-the number of children that would be born to a woman if she lives to the end of her childbearing years and bears children at each age in accordance with the prevailing age- specific fertility rates-comprises the number of children parents want, that is, the desired family size (DFS) plus unintended births. In economic terms, DFS thus represents the demand for children by par- ents. Desired family size depends mainly on female education, male education, the insurance value of children, and the demand for female labor in the wage labor market, which may be reflected in the country's level of development and is proxied by the per capita GDP. Desired family size also reflects the chances for child survival. Child survival depends on the mother's education and on factors such as access to safe drinking water, access to health services including immunization and curative care for common childhood diseases, and access to family planning, which promotes healthier spacing of births.

Of course, parents may have more or fewer children than they desire. This article focuses on the more usual case in which couples

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K. Subbarao and Laura Raney 107

would have more children than they desire if they took no steps to limit pregnancy. The ability to achieve desired family size depends not only on the availability of family planning services, but also on factors such as age at marriage or union, duration of breast-feeding, and the attitudes toward abortion.

These structural relationships suggest many ways in which female education and family planning services affect fertility. Education, es- pecially of the mother, affects DFS through wage and productivity effects on the opportunity cost of the mother's time. It also improves the chances of child survival, and thus it indirectly affects DFS. Fi- nally, education promotes awareness of the use of modern methods of contraception effectively and thus helps people achieve their DFS. Family planning services enable couples more readily to achieve lower DFS and over time may influence desired family size itself by reducing infant morbidity.

From a policy perspective, it would be valuable to know more about the relative importance of the many ways in which female educa- tion and family planning program services influence fertility. However, such a structural model is extremely difficult to estimate because of data and econometric limitations. First, and most important, DFS can- not be observed objectively. It is essentially an opinion, and people's responses may be influenced by the number of children they already have and they may be reluctant to say they did not want the children they already have. Second, country-level data sources are often not suitable for comparison as the type of canvassing and questions asked of the respondents do not always match. Therefore, most analysts are more comfortable with objectively observed fertility. Moreover, the task of estimating a structural model with cross-national data is even more difficult because the admittedly unsatisfactory data on DFS are available only for a small set of 37 countries that have had World Fertility Surveys.3 Finally, even if more satisfactory data on DFS were available for a wider sample of countries, it would be difficult to find identifying exogenous variables, especially in cross-national data sets, that would permit us to distinguish the influences on desired family size, child survival, and ability to achieve desired family size. Because female education clearly affects all three, many analysts, as we do in this study, rely on a reduced form estimation of the TFR. Thus, we are able to determine the net impact of female secondary education and other exogenous variables but not the precise way in which educa- tion affects fertility.

The conceptual underpinnings for the analysis of infant mortality (IMR) are more straightforward. Infant mortality is influenced by fe- male education, male education, and access to services that affect mortality such as immunization, safe drinking water, trained birth at- tendants, nurses or physicians, and family planning services that pro-

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108 Economic Development and Cultural Change

mote better spacing of births. As in the case of the TFR, female educa- tion influences infant mortality through better use of available facilities and the parents', especially the mother's, knowledge of hygiene, sani- tation, and health care. But, as in the case of the TFR, we rely on a reduced form equation that shows the net impact of female secondary education and other exogenous variables without specifying pathways.

B. Reduced Form Equations and the Estimation Procedures Our reduced form equations derive their logic from the structural rela- tionships outlined in the preceding paragraphs. Following T. P. Schultz, the structural relationships can be expressed so that the TFR and IMR depend only on exogenous explanatory variables, including education, health services, and family planning programs, as well as per- sonal and household characteristics that affect fertility and mortality.4 In specifying our reduced forms, we have tried to be careful to use as explanatory variables only those that are exogenous in a fairly strict sense; that is, they affect, but are not the result of, household decisions.

It is possible to estimate the determinants of fertility or mortality without bias with the OLS method when (a) the function relating the country-level explanatory variables and dependent variable is cor- rectly known; (b) the explanatory variables are independent of each other; (c) the variables are observed without error; and (d) the error term is normally distributed with zero mean, has a constant variance, and is uncorrelated with the explanatory variables. But Schultz and J. Behrman discuss potential endogeneity between family planning or health programs and socioeconomic variables, especially education levels, in countries where family planning or health program efforts may be focused on states or districts with higher levels of socioeco- nomic development.5 Such endogeneity may be a less serious problem in cross-country analysis than in studies within a country. To test for endogeneity between socioeconomic development and program effort at the cross-country level, we regressed an index of socioeconomic development on family planning services across countries and found the correlation to be weak (R = .38).6 Such correlations with other socioeconomic and human development indexes were found to be even weaker.' In this article, therefore, the possible endogeneity between program supply and socioeconomic development is ignored.

Female education and totalfertility. The first equation presented in this study is intended to explain the total fertility rate (TFR)-the number of children that would be born to a woman if she lives to the end of her childbearing years and bears children at each age in accor- dance with prevailing age-specific fertility rates. The hypothesis is that the TFR in 1985 depends in a nonlinear way on female and male sec- ondary education (FED and MED) and in a linear way on per capita GDP (GDP), the rate of urbanization (URB), the level of a family

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planning services score (SERV), potential interaction between educa- tion and family planning services, and population per physician (PHYS):

TFR = ao + OtlFED

+ a3FED2 + t3MED + a4MED2 + ot5GDP

+ ot6URB + ot7SERV + a8(FED*SERV) + o9PHYS (1)

+ aloDAFR + atllDAS + t1,2DLAC

+ E,

where DAFR, DAS, and DLAC stand for regional dummies for Africa, Asia, and Latin America and the Caribbean (with the reference group North Africa and the Middle East). Coefficients are denoted by a in equation (1) and by P in equation (2). In both equations (1) and (2) E reflects the error term. The model does not separate the exact route through which education influences fertility (delay of marriage, contra- ceptive use, abortion, breast-feeding, or a reduction in child mortality) but summarizes the effects as they work themselves through an under- lying structural model. The estimated equation is thus a reduced form equation with controls and interactions.8

Female education and infant mortality. Numerous studies have examined the role of female education in determining mortality out- comes using cross-country data.9 Much of the earlier literature using cross-country data did not consider any specific health program vari- able, though socioeconomic variables have been thoroughly investi- gated and modeled. E. M. King and M. A. Hill did consider many program variables but did not treat interactions. In our study, the IMR in 1985 is hypothesized to be inversely related to lagged female and male secondary enrollments (FED and MED), the rate of urbanization (URB), family planning services (SERV), and per capita GDP; and positively to population per physician (PHYS). Regional dummies were added to capture region-specific intercepts. The estimated model is as follows:

IMR = P0 + 1,FED + P2FED2 + P3MED + P4MED2

+ P5PHYS + p6URB + P7SERV + p8GDP (2)

+ p9DAFR + poDAS + 3,,DLAC + E.

One program variable, population per physician (PHYS), was consid- ered.'0 The model captures the influence of the proximate determinants as well as female (and male) education without informing us about the precise route through which female education influences infant mortality outcomes, so it is again a reduced form equation.

III. Definitions and Data Sources The analysis is based on cross-country data for 72 developing countries compiled from various secondary sources. The sample consists of low-

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and middle-income developing economies, according to the World Bank classification by income. We have deliberately excluded Eastern European countries for which data are scarce, Cuba, and high-income countries such as Hong Kong, Saudi Arabia, Singapore, and the United Arab Emirates, as they are not strictly considered developing economies. The total sample of 72 countries represents the maximum number of countries for which data were available for the variables used in our analysis. Not all countries are included in all the equations and simulations owing to data gaps on certain specific variables. The approach we have taken is to maximize the number of observations in each equation; therefore the sample size varies across the equations. The variables and definitions are summarized in table 1. The countries are listed in the Appendix, along with their means and standard devia- tions (tables Al and A2). The TFR is for 1985 and represents the number of children that would be born to a woman if she lives to the end of her childbearing years and bears children at each age in accor- dance with prevailing age-specific fertility rates. The infant mortality rate (IMR) for 1985 is defined as the number of infants who die before reaching 1 year of age per 1,000 live births. Both the TFR and the IMR are from World Bank data."

TABLE 1

VARIABLES AND DEFINITIONS

Variable Definition

TFR85 Total fertility rate, 1985, representing the number of children that would be born to a woman if she were to live to the end of her childbearing years and bear children at each age according to prevailing age-specific fertility rates

IMR85 Infant mortality rate, 1985, defined as the number of infants who die before reaching 1 year of age, per 1,000 live births

FED70, MED70, Gross secondary school enrollment rates for females and FED75, MED75 males, 1970 and 1975

GDP Gross domestic product per capita, 1985, purchasing power parity adjusted

PHYS Population per physician, 1984 (latest year available); the number includes medical assistants as well as registered practitioners

URB Urban population, as a percent of total population, 1985 SERV Percent of the maximum service score that a country has,

from the service component of Family Program Effort, 1982; it includes community-based distribution, social mar- keting, home-visiting workers, etc.*

DAFR, DAS, Dummy regional variables representing Africa, Asia, and DLAC Latin America and the Caribbean

* W. P. Mauldin and J. A. Ross, "Family Planning Programs: Efforts and Results, 1982-89," Studies in Family Planning 22, no. 6 (November/December 1991): 350-67; J. A. Ross, W. P. Green, S. R. Cooke, and E. R. Cooke, Family Planning and Child Survival Programs as Assessed in 1991 (New York: Population Council, 1992).

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K. Subbarao and Laura Raney 111

Unesco databases are the source for gross secondary school en- rollment rates for males and females for 1970 and 1975 (MED, FED), also available in the World Bank's Economic and Social Database (BESD).12 Gross domestic production (GDP) per capita for 1985 is corrected for purchasing power parity and is expressed in 1985 interna- tional prices from R. Summers and A. Heston.13 The family planning services score (SERV) for 1982 is based on part of a broader index developed originally by R. J. Lapham and W. P. Mauldin and updated by Mauldin and Ross.14 The score used in this article assesses the availability and strength of service and service-related family planning programs in developing countries." The index reflects 13 separate measures of service and service-related activities, including commu- nity-based distribution, administrative structure, and mass media for Information, Education, and Communication (IE&C). Service (SERV) is the percent of the maximum score for each country. The actual values range from 0 to 78. Population per physician (PHYS), 1984, and the urban population as a percentage of total population (URB), 1985, are from World Bank data.16

In the simulations, the population figures on women of childbear- ing age in 1985 are from United Nations data.7 This measure, women 15-44 years old, omits women in the 45-49-year-old bracket because the data as presently organized and published (for ages 15-19, 20-24, 25-44, and 45-59) do not enable us to compute the number of women in this older cohort. The number of births in this age cohort, however, is quite small and as such may not significantly understate the births and deaths simulated in Section V.

IV. Results and Discussion A. Education, Family Planning Services, and Fertility In the literature, several alternative specifications of education vari- ables have been used. In our study, female and male gross secondary school enrollment rates, lagged by approximately 10 and 15 years, were used, the inference being that the higher the enrollment rates in the (lagged) years, the higher the proportion of mothers (fathers) with secondary schooling in the year 1985, in each of the countries for which data on all the variables are available. Data limitations pre- vented looking at age cohorts separately."8 Considering that a high proportion of births (i.e., a high proportion of the lifetime, realized total fertility rate) occurs before a woman reaches the age of 25-29, 15- and 10-year-lagged school enrollment (i.e., 1970 and 1975 enroll- ment levels) appeared the most appropriate; the results reported be- long to these years.

We estimated the equations with both female and male secondary enrollments so as to capture the effect of female enrollments, control- ling for male enrollments. We recognize that male education and fe-

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112 Economic Development and Cultural Change

male education tend to be correlated and therefore we tried female education separately, but we thought that relying only on female edu- cation might overstate its effect. This is, we recognize, a difficult judg- ment. We could see no strong theoretical case for simply relying on male education. We also estimated the equations with and without interaction between female education and family planning services. In each equation, nonlinearity in the linkages between enrollments and fertility was tested with quadratic terms. In addition, we also estimated the equations with GDP for 1970 and 1975. In both cases, the sample size was lower (n = 47 vs. n = 63 for GDP for 1985) owing to incom- plete data, but the results were not significantly different and thus are not reported. The descriptive statistics are given in Appendix table Al, and the results are presented in table 2.

Irrespective of the model specification, female secondary school enrollment, lagged by either 10 or 15 years, is inversely related to fertility rate, and the coefficient is relatively large and highly signifi- cant. We evaluated the positive quadratic term and found that the turning point occurred at about 60% of gross secondary school enroll- ment in 1970 and 80% in 1975-a level that none of the countries in our sample had reached in either year. Male enrollment is not statistically significant. The interaction between female education and family plan- ning is significant: equation (4) in table 2 (using 1975 education data) suggests that family planning works in conjunction with education (the interaction term is significant). This implies that the effect of family planning should be evaluated with reference to specific levels of female secondary enrollment, as it differs depending on the enrollment level. It is well known that education promotes awareness of the methods of contraception as well as more effective use. On the other hand, equa- tion (2) in table 2 (using 1970 education data) fails to confirm the inter- action. What we can say definitely is that family planning does matter and may well interact with education, and the magnitude of the effect of female education remains large, even controlling for its interaction with family planning services. Controlling for education and family planning services, the GDP variable is significant in only one of the equations. In two equations the regional dummy for LAC is significant. On the whole, the results suggest that the total effect on fertility of female education combined with family planning services is substantial.

To get a better idea of the magnitude of the effects of female education and family planning services on total fertility, we computed elasticities of the TFR (1985) with respect to female secondary enroll- ments (1970; controlling for male enrollments), and with respect to family planning services (1982) from equation (1) in table 2. The elastic- ity of fertility with respect to female education is very high for female enrollments from 0% to 40%-a range in which all but four of the sample countries fall. Female secondary enrollment has the greatest

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K. Subbarao and Laura Raney 113

negative effect on fertility at around 30% enrollment, where the elastic- ity is -0.513; the mean of female secondary enrollment in the 1970 sample is 13%. Family planning services undoubtedly reduce the fertil- ity rate,19 but the magnitudes of the elasticities of the TFR with respect to family planning services are small. Only at the maximum possible score of the index (100) does the elasticity of fertility with respect to family planning services approach that of female education at 30% enrollment rate. Yet the highest score of family planning service for any country in 1982 was 78.

We use the equation with female secondary school enrollments for 1975 in subsequent simulations of the effects of increasing female education and family planning services on TFR.20 When female sec- ondary enrollments lagged by 10 years (1975 enrollments) were inter- acted with family planning services, the interaction term was signifi- cant (see table 2, eq. [4]). From this equation, the elasticities of the TFR with respect to the total effect of female secondary education and family planning services were computed at different levels of enroll- ments and service scores. At a 20% enrollment level, the elasticity of the TFR with respect to the total effect of female education is three times higher than that of family planning services, -0.320 versus -0.075. Clearly, in countries with currently low female secondary enrollments, an expansion of female education, in combination with even a low family planning service score, can bring fertility down substantially.

Simulations show that a doubling of female secondary enrollments (from the mean of 19% to 38%) in 1975, holding all other variables constant at their mean values, would have reduced the TFR in 1985 from 5.3 to 3.9, whereas a doubling of the family planning service score21 (from the mean of 25% to 50%), again holding other variables constant, would have reduced the TFR in 1985 from 5.5 to 5.0. These illustrative scenarios are suggestive of the powerful influence of female education in fertility reduction and the potential from combinations of female education and effective family planning programs.

The extent to which female education, interacting with the mean level of family planning services, reduces fertility can also be seen from the predicted values of total fertility rate, also derived from equa- tion (4) in table 2. Figure 1 presents the predicted values of total fertil- ity rate in 1985 for varying levels of female school enrollments in 1975 and family planning services in 1982. The fertility rate falls steadily with increases in female secondary school enrollments. The rate of decline in fertility appears steep initially but tapers off after female enrollment levels reach 40%. Family planning services also reduce fertility but by a slower rate. Even with the maximum family planning service score of 100 (quadruple the mean of 25% in 1982), fertility does not reach the same level as with 40% female secondary enrollment. It

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Page 11: Social Gains from Female Education: A Cross-National Study

)II~ )II~ P

TABLE 2

TOTAL FERTILITY RATE (1985), FEMALE EDUCATION, AND FAMILY PLANNING SERVICES

DEPENDENT VARIABLE, TFR, 1985

(1) Without Interaction, (2) With Interaction, (3) Without Interaction, (4) With Interaction, Secondary School Secondary School Secondary School Secondary School Enrollments, 1970 Enrollments, 1970 Enrollments, 1975 Enrollments, 1975

INDEPENDENT VARIABLE Coefficient t-ratio Coefficient t-ratio Coefficient t-ratio Coefficient t-ratio

Constant 7.322 15.801*** 7.199 14.385*** 7.137 14.453*** 6.77 12.453*** Female secondary gross

enrollment, 1970 -.188 - 3.724*** -.177 - 3.450*** . . . Female secondary gross

enrollment squared .002 2.166** .002 2.325** . . . . . . .

Male secondary gross enrollment, 1970 .038 .996 .029 .709

Male secondary gross enrollment squared .0004 .756 .001 .914

Female secondary gross enrollment, 1975 ... ... -.116 - 3.644*** - .096 - 3.079***

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Ln

Female secondary gross enrollment squared ..... ...... .001 1.496 .001 1.939*

Male secondary gross enrollment, 1975 ... ... ... ... .027 1.088 .007 .272

Male secondary gross enrollment squared . .. ... ... ... .0003 .775 .001 1.395

GDP per capita, 1985 -.0001 -1.361 -.0002 -1.490 -.0001 -.653 -.0001 -.726 Family planning services, 1982 -.021 - 3.900*** -.014 -1.251 -.024 - 4.603** -.007 -.695 Female secondary enrollment

and family planning services ... ... -.0004 -.723 ... ... -.001 - 1.853* Urban population as a

percentage of total population, 1985 - .010 -1.040 - .010 - .871 - .009 - .963 - .006 - .613

Population per physician, 1984 - .000004 - .576 - .000004 - .497 - .000001 - .101 .000001 .087 Africa regional dummy .229 .741 .282 .835 .302 .931 .515 1.392 Asia regional dummy - .496 - 1.249 -.460 - 1.125 -.561 - 1.361 -.401 - .965 LAC regional dummy .879 2.244** .821 2.147** .373 1.198 .282 .886 Adjusted R2 .82 .82 .83 .84 N 64 64 65 65

* Significant at the 10% level. ** Significant at the 5% level. *** Significant at the 1% level.

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116 Economic Development and Cultural Change

TFR 8

7-TFR with Fern.

Ed.

TFR with FP Services 7

6

5

4

3 -

2

0 10 20 30 40 50

FIG. 1.-Predicted TFR, 1985, for different levels of female education (solid bars) and family planning services (lightly shaded bars). Y-axis = TFR; X-axis = female secondary school enrollment rate, 1975, and levels of family planning service, 1982. Calculated from table 2, holding all other variables constant at their mean value (means: female secondary enrollment [1975], 19.1%; family planning service score [1982], 25%; TFR [1985], 5.3).

would appear that expansion of family planning services by itself af- fects fertility much less than if it were accompanied by expansion of female secondary enrollment, and the maximum effect on fertility can be achieved with a combination of female education and family plan- ning.22 This should not be surprising since family planning enables couples more easily to achieve their family size preferences, which reflect their education levels, inter alia.

B. Female Education, Access to Medical Care, and Child Health The results relating to the determinants of infant mortality are pre- sented in table 3. One public program variable is considered: popula- tion per physician. Of course, this measure of health programs affect- ing the IMR is highly inadequate. We considered using additional variables, namely, access to safe drinking water and the percentage of infants immunized, but were unable to use the former owing to lack of reliable data, and the latter owing to its endogeneity and the lack of a good instrumenting variable to measure access rather than use.

Female secondary enrollments again are highly significant. The quadratic terms are positive but not statistically significant. Male edu- cation is not statistically significant for either 1970 or 1975 enrollments.

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TABLE 3

INFANT MORTALITY (1985), FEMALE EDUCATION, AND PROGRAM VARIABLES

DEPENDENT VARIABLE, IMR, 1985

(1) 1970 School (2) 1975 School Enrollments Enrollments

INDEPENDENT VARIABLE Coefficient t-ratio Coefficient t-ratio

Constant 85.246 7.474*** 98.849 7.561*** Female secondary gross

enrollment rate, 1970 -3.309 - 2.373** ... Female secondary gross

enrollment rate squared .020 .946 Male secondary gross enrollment

rate, 1970 1.609 1.718 Male secondary gross enrollment

rate squared -.007 -.494 Female secondary gross

enrollment rate, 1975 ... .. -3.055 -3.720*** Female secondary gross

enrollment rate squared . . . . .014 1.237 Male secondary gross enrollment

rate, 1975 . . .. .710 1.113 Male secondary gross enrollment

rate squared .. . . . .008 .910 Family planning services -.239 - 2.092** -.187 -1.682* Population per physician, 1984 .001 4.619** .001 3.795*** Urban population as a percentage

of total population .467 1.934* .389 1.571 GDP per capita, 1985 -.012 -4.403** -.010 -3.872*** Africa regional dummy 10.868 1.348 10.470 1.532 Asia regional dummy 12.219 1.497 9.299 1.118 LAC regional dummy 19.319 1.779* 19.094 2.315** Adjusted R2 .75 .77 N 64 65

* Significant at the 10% level. ** Significant at the 5% level. *** Significant at the 1% level.

The health program effort variable, population per physician, is highly statistically significant in both equations. Gross domestic product per capita is also significant with the expected negative sign. The family planning services variable is negative and statistically significant in both equations, while the urban variable is positive and significant in the 1970 equation only. The LAC regional dummy is significant in both equations. Thus, even after controlling for income and the program variable, female secondary education is clearly a prime factor in reduc- ing the IMR.

From the tables, we computed the elasticities of the IMR with respect to female secondary school enrollments in 1975, population per physician, and GDP per capita. The direction of the results was similar for the 1970 equations, so only the results with 1975 enrollments

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are presented here. The elasticity of IMR with respect to female sec- ondary enrollment sharply decreases to -0.92 at an enrollment level of 40%, whereas the elasticity of IMR with respect to GDP per capita is low at - 0.21 even at a per capita GDP level of $1,800. The elasticity of IMR with respect to population per physician is positive and decreases as the ratio decreases. It reaches 0.06% when the ratio of population per physi- cian is halved (from the mean). For a typical poor country with a GDP per capita of $300, a female secondary school enrollment rate of 10%, and a physician for every 15,000 people, let us consider alternative ap- proaches to reducing infant deaths. A doubling of female enrollments (from 10% to 20%) would bring down the IMR from 105 to 78, whereas a doubling of GDP per capita would reduce IMR from 102 to 99. Halving the ratio of population per physician would reduce the IMR from 85 to 81. These illustrative scenarios suggest the powerful influence of mother's education in the prevention of infant deaths.

To examine the above scenarios more clearly, the response of the IMR to female education relative to population per physician and GDP per capita is shown in figure 2a and 2b, which give the predicted values of the IMR for different levels of female secondary enrollments, hold- ing all other variables constant at their mean level. The IMR falls steadily until female secondary school enrollment reaches 50%. Also as expected, a rise in GDP per capita leads to a fall in IMR, ceteris paribus, with a slightly steeper slope than for population per physician. However, a GDP level of $4,800-a clearly implausible proposition for many developing countries even within a decade-would be needed to reach the level of IMR obtained with 30% female secondary enroll- ments. The IMR falls after halving the ratio of population per physician (again keeping all other variables, including female secondary enroll- ments, constant at their mean level), but at a much lower pace com- pared to female enrollments. Thus, for developing countries, female education appears to be a powerful way to reduce infant deaths.

The combined effect of fertility reduction and improvement in infant survival from increasing female school enrollments can be seen from the predicted values of each, plotted in figure 3.23 The reduction in fertility and improvement in infant survival are striking. The simulation shows that with increasing levels of female secondary enrollment in 1975, not only does the number of births per woman fall, but the proportion of infants who survive rises. Doubling the mean level of female education from 19% to 38%, holding all other variables constant at their mean val- ues, would reduce the TFR from 5.3 to 3.9. Similarly, the proportion of infants surviving increases as the IMR falls from 81 to 38.

V. Quantifying the Gains in Fertility and Mortality Reduction: Some Simulations

The econometric estimates obtained from cross-country analysis can be used to simulate what the impact in the 1980s would have been had

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140

IMR with Fem. Ed.

1 IMR with GDP pc 120

100 -

80 -

. . .. .. . .

60-I

40

20

0 10 20 30 40 50 300 800 1300 1800 2300

FIG. 2a.-Predicted IMR, 1985, for different levels of female secondary enrollment, 1975 (dark bars), and GDP per capita, 1985 (lighter bars). Y-axis = IMR; X-axis = female secondary school enrollment rate, GDP. Calculated from eq. (2) in table 3, holding all other variables constant at their mean value (means: female secondary enrollment [1975], 19.1%; GDP per capita (1985), $1,976).

the female secondary school enrollment rate been double its actual average in 1975, keeping all other variables (including health and family planning services) constant at their mean values. The impact of dou- bling (and trebling) the family planning services index was also simu- lated. In both simulations, the results take into account the synergism between female education and family planning services. The results (shown in table 4) are striking. For a sample of 65 low- and middle- income developing countries (including China), which account for 93% of the population of developing countries, doubling female secondary enrollment from the mean of 19% to 38% in 1975, in combination with family planning services (held constant, along with all other variables, at their mean values), would have reduced the number of births by 29% compared to the actual number in 1985.24 Doubling the family planning services score, interacting with unchanged female enroll- ments (held constant at its mean value along with all other variables),

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120

I IMR with Pop/Phys.

100

80

60

40

20

31 28 25 22 19 16 13 10 7 4

8 0 ... . .. . . .. .. . .. . . . . . . ..... .. ..... . . . . ............... ...... .... ....

8 0 ....... ... ..... ... . .... • ...... ............... .. ... . ....... . .. . ..... ... . .... .. ..

4 0 .. ... ... . .. . .. .. . ...J . .. ... . ... . . .. .. .. ...... .. ....... ............ ... ...... .. .

2 .. .... . .... . ..... . ...

........ ....... .. .... ... ........ ..... .. ........... . ......... .......

..... 1 ... .. .. . 6 0 - iI II

. .. ............_.. ...... ....... 2.......6....... .....

FIG. 2b.-Predicted IMR, 1985, for different levels of population per phy- sician, 1984. Y-axis = IMR; X-axis = population per physician (in thousands). Calculated from eq. (2) in table 3 (means: population per physician [1984], 11,851; IMR [1985], 85).

would have reduced the number of births by 3.5%. Of the developing countries, only two have been able to reach a service level of 75 (China and Indonesia have scores of 78), whereas as many as 14 developing countries, some with relatively low per capita GDP such as Sri Lanka and Indonesia, reached the 40% female secondary school enrollment level in 1975. The number of countries reaching 40% female secondary enrollment had risen to 28 in 1988. The highest gains (in terms of births averted as percent of actual) from female education occur in the countries of south Asia and sub-Saharan Africa. Table 5 shows similar simulations for gains in the reduction of infant deaths. Doubling female secondary school enrollments has a dramatic impact on infant deaths averted, reducing them by 64% for the sample of developing countries as a whole. The gains in terms of deaths averted are again highest in south Asia and sub-Saharan Africa. Reduction of the ratio of popula- tion per physician results in prevention of infant deaths, but to a much smaller extent (2.5%), while an increase in GDP per capita from $650 to the median level in the sample of $1,300 has no effect on infant deaths.

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K. Subbarao and Laura Raney 121

8

l TFR

6 Surviving

4

2

0 0 10 20 30 40 50

FIG. 3.-Predicted TFR (solid bars) and infant survival rates (lightly shaded bars) at different levels of female secondary enrollment in 1975. Y-axis = TFR, infant survival rate; X-axis = female secondary school enrollment rate, 1975 (%). Simulated from eqq. (4) and (2) in tables 2 and 3 (holding all other variables constant at their mean value).

The simulations show the virtue of expanding education as well as health and family planning services to reduce fertility and promote child health. Just expanding female education itself would have a sig- nificant impact. However, combining female education with health and family planning services would have the greatest impact on the reduc- tion of births and infant deaths. At the same time, the simulations suggest that exclusive reliance on health and family planning program efforts, without expanding female education, will not affect the TFR and IMR substantially, especially in very poor countries with a low female secondary education base. Female education is thus a powerful force for health and family planning in the developing world.

VI. Implications for Policy and Concluding Remarks This article explores the strength of female secondary school enroll- ment relative to as well as in combination with some health and family planning program efforts to reduce fertility and infant mortality in the developing world. The relative strength of these strategies seems to vary at different levels of socioeconomic development, suggesting the need for careful consideration of priorities, especially in countries with low female secondary enrollments. The equation with 1975 school en- rollment rates suggests that the effect of family planning services should be evaluated with reference to specific levels of female enroll- ments. The elasticity of the total fertility rate with respect to female

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Page 19: Social Gains from Female Education: A Cross-National Study

TABLE 4

GAINS IN BIRTHS AVERTED THROUGH FEMALE EDUCATION AND FAMILY PLANNING PROGRAM SERVICES:

SIMULATION RESULTS IN BIRTHS PER YEAR, 1985 (Millions)

RAISING FEMALE SECONDARY SCHOOL ENROLLMENTS RAISING FAMILY PLANNING SERVICES

Col. (5) Col. (9) Births as % of Births as % of

Actual Remarks Simulated Averted Col. (2) Remarkst Simulated Averted Col. (2) COUNTRIES* (1) (2) (3) (4) (5) (6) (7) (8) (9) (10)

Low and middle income (N = 65) 102.5 Scenario 1: if female 72.9 29.6 29 Scenario 1 98.9 3.6 3.5

gross enrollment Scenario 2 93.4 9.1 8.9 rates in 1975 were doubled to 38% from 19% (actual)?

Low income (n = 31)dI 81.2 55.6 25.6 32 Scenario 1 79.6 1.6 2.0 Scenario 2 77.1 4.1 5.0

Sub-Saharan Africa (N = 26)* 17.4 11.3 6.1 35 Scenario 1 16.2 1.2 6.9

Scenario 2 15.5 1.9 11.0 South Asia (n = 5)** 33.9 17.7 16.2 48 Scenario 1 33.7 .2 .6

Scenario 2 31.9 2.0 5.9

NOTE.-These simulations are based on eq. (4) in table 2. * According to World Bank classification. t Scenario 1: if family planning service index score in 1982 were doubled from 25%to 50%, (actual) (see n. 4). Scenario 2: if family planning

service index score in 1982 were tripled from 25% to 75%, (actual) (see n. 4). t These 65 countries represent 76% of the world's population and 93% of the LDC population, including China. ? Keeping all other variables constant at their mean values. H These 31 countries represent 61% of the world's population and 97% of the low-income LDC population, including China. # These 26 countries are Benin, Botswana, Burkina Faso, Burundi, Central African Republic, C6te d'Ivoire, Ethiopia, Ghana, Guinea, Kenya,

Lesotho, Liberia, Madagascar, Malawi, Mali, Mauritius, Mozambique, Niger, Nigeria, Rwanda, Sierra Leone, Somalia, Sudan, Tanzania, Togo, Uganda, Zaire, Zambia, and Zimbabwe. They represent 8.7% of the world's population and 94% of sub-Saharan Africa's population. ** These five countries are Bangladesh, Nepal, India, Pakistan, and Sri Lanka. They represent 23.1% of the world's population and 96% of south Asia's population.

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oa

TABLE 5

GAINS IN INFANT DEATHS AVERTED THROUGH FEMALE EDUCATION VERSUS HEALTH SERVICES AND GDP PER CAPITA CHANGE: SIMULATION RESULTS IN INFANT DEATHS PER YEAR, 1985 (millions)

RAISING FEMALE SECONDARY SCHOOL ENROLLMENTS LOWERING RATIO OF POPULATION PER PHYSICIAN RAISING GDP PER CAPITA

Col. (5) Col. (9) Col. (13) as % of as % of as % of

Actual Remarkst Simulated Averted Col. (2) Remarkst Simulated Averted Col. (2) Remarkst Simulated Averted Col. (2) COUNTRIES* (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14)

Low and middle income (N = 65)* 8.0 The scenario if fe- 2.9 5.1 64 Scenario halving the 7.8 .2 2.5 Scenario raising 8.0 0 0

male gross enroll- ratio of popula- GDP per capita ment in 1975 were tion per physician level from $650 in doubled from 19% in 1984 from 1985 to the me- (actual) to 38% 11,851 (mean) to dian of $1,300

5,926 Low income

(N = 31)? 6.8 2.3 4.5 66 6.6 .2 2.9 6.8 0 0 Sub-Saharan Africa

(N = 26)11 2.1 .4 1.7 81 1.9 .2 9.5 2.0 .1 4.8 South Asia (n = 5)* 3.2 .7 2.5 78 3.2 0 0 3.2 0 0

NOTE.-These simulations are based on eq. (2) in table 3. * According to World Bank classification.

Keeping all other variables constant at their mean values. These 65 countries represent 76% of the world's population and 93% of the LDC population, including China. These 31 countries represent 61% of the world's population and 97% of the low-income LDC population, including China. These 26 countries are Benin, Botswana, Burkina Faso, Burundi, Central African Republic, C6te d'Ivoire, Ethiopia, Ghana, Guinea, Kenya, Lesotho, Liberia, Madagascar,

Malawi, Mali, Mauritius, Mozambique, Niger, Nigeria, Rwanda, Sierre Leone, Somalia, Sudan, Tanzania, Togo, Uganda, Zaire, Zambia, and Zimbabwe. They represent 8.7% of the world's population and 94% of sub-Saharan Africa's population. * These five countries are Bangladesh, Nepal, India, Pakistan, and Sri Lanka. They represent 23.1% of the world's population and 96.3% of south Asia's population.

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124 Economic Development and Cultural Change

secondary school enrollments is consistently higher than for family planning services, ceteris paribus. Thus expansion in female education reduces fertility substantially, and even more when family planning services accompany it. For example, a doubling of female secondary enrollments in 1975 from the mean of 19% to 38% would have reduced the fertility rate from 5.3 to 3.9, whereas a doubling of family planning services in 1982 from the mean of 25 to 50 would have reduced the total fertility rate from 5.5 to 5.0. This research suggests that, in coun- tries where the female secondary education base is low, the expansion of female secondary education may be the best single policy lever for achieving substantial reductions in fertility. However, couples who desire smaller families certainly ought to have good family planning options at hand, and improvements in family planning will enable and encourage more couples to opt for contraception.

With respect to infant mortality, public programs that reduce the ratio of population per physician coverage do reduce infant deaths independent of female education. However, the elasticities of the IMR with respect to female secondary enrollments are always greater than they are with reduction in the ratio of population per physician cover- age or GDP per capita. Our simulations show that the reduction in IMR from expansion of female school enrollments is striking. For ex- ample, in a typical poor country with a GDP per capita of $300, female secondary school enrollment of 10%, and a physician for every 15,000 people, a doubling of female education in 1975 would have reduced the IMR in 1985 from 105 to 78; in comparison, a halving of the ratio of population per physician would have lowered the IMR from 85 to 81, and a doubling of GDP per capita would have lowered the IMR from 102 to 99. When the results are translated into deaths averted, the magnitude of reductions in deaths obtained from small increments in female education swamp the reduction in IMR obtained from even massive direct programs; for example, while doubling female enroll- ment rate reduces infant deaths by 64%, halving the ratio of population per physician reduces infant deaths by 2.5%. Of course, our measure of health programs is very imperfect and doubtless understates the impact of health care. But it is reasonably clear that expanding female education is a powerful option for many developing countries.

The simulations attempted in this article show that the gains from female education in terms of births averted are also striking. For exam- ple, doubling female secondary school enrollments from their mean level in 1975, keeping all other variables (including family planning services) constant at their mean values, would have reduced births by 29% in 1985. Doubling the family planning service score, keeping all other variables constant at their mean values, would have reduced births by 3.5%. The gains from expansion of female secondary school- ing are largest in south Asia and sub-Saharan Africa, where the female

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K. Subbarao and Laura Raney 125

enrollment rates were among the lowest in the world in 1975. Since then there has been progress; yet even as of 1989, 25 out of 27 coun- tries with female secondary school enrollment rates of less than 20% are in sub-Saharan Africa and south Asia.

The broad conclusion of this study is that family planning and health programs reduce fertility and infant mortality, and the impact of expanding female secondary school enrollments appears to be even greater, especially in countries with low female secondary school en- rollment. The gains are, of course, greatest when female education is combined with health and family planning programs.

Appendix Sample Countries

Low-Income Countries (N = 37) Afghanistan,*t Bangladesh,* Benin, Burkina Faso, Burma, Burundi, Central African Republic, Chad,t China,* Ethiopia, Ghana, Guinea, Haiti,* India, Indonesia, Kenya, Lesotho, Liberia, Madagascar, Malawi,* Mali, Mauritania,t Mozambique,* Nepal, Niger, Nigeria,t Pakistan, Rwanda, Sierra Leone, Somalia, Sri Lanka, Sudan, Tanzania, Togo, Uganda, Zaire, and Zambia.

Lower-Middle-Income Countries (N = 27) Bolivia,t Botswana, Cameroon,*,t Chile, Colombia, Costa Rica, C6te d'Ivoire, Ecuador, Egypt, El Salvador, Guatemala, Honduras, Jamaica, Ma- laysia, Mauritius, Mexico, Morocco, Papua New Guinea, Paraguay, Peru, Senegal,t Syrian Arab Republic, Thailand, Tunisia, Turkey, Yemen Arab Re-

public,*'t and Zimbabwe.

TABLE Al

TFR EQUATIONS-MEANS AND STANDARD DEVIATIONS

(1) 1970 (2) 1975 ENROLLMENTS ENROLLMENTS

VARIABLES Mean SD Mean SD

TFR85 5.40 1.52 5.35 1.57 FED70 13.38 12.71 .. MED70 20.34 13.74 FED75 ...... 18.87 16.55 MED75 ... .. 26.74 17.05 GDP 2,124.30 1,588.0 2,114.5 1,585.7 SERV 23.77 20.6 25.48 21.7 URB 37.00 19.62 35.79 20.0 PHYS 12,053.00 15,313.0 11,851.0 15,213.0 DAFR .47 .50 .45 .50 DAS .16 .36 .18 .39 DLAC .25 .44 .25 .43 N 64 65

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126 Economic Development and Cultural Change

TABLE A2

IMR EQUATIONS-MEANS AND STANDARD DEVIATIONS

(1) 1970 (2) 1975 ENROLLMENTS ENROLLMENTS

VARIABLES Mean SD Mean SD

IMR85 84.38 40.55 84.83 41.8 FED70 13.38 12.71 ...... MED70 20.34 13.74 FED75 ...... 18.87 16.55 MED75 ... ... 26.74 17.05 PHYS 12,053 15,313 11,851 15,213 URB 37.0 19.62 35.79 20.0 GDP 1,985.5 1,523.3 1,976.2 1,520.9 SERV 23.77 20.6 25.48 21.72 DAFR .47 .50 .45 .50 DAS .16 .37 .18 .39 DLAC .25 .44 .25 .43 N 64 65

Upper-Middle-Income Countries (N = 8) Algeria, Brazil, Iran, Islamic Republic, Iraq, Panama, Republic of Korea, Trinidad and Tobago, and Venezuela.

* Not used in the TFR or IMR equations with 1970 enrollments (n = 64). t Not used in the TFR or IMR equations with 1975 enrollments (n = 65).

Notes * This article is a revised and abridged version of an earlier paper, distrib-

uted as World Bank Discussion Paper no. 194. For excellent advice and guid- ance at all stages in the preparation of this study, we are grateful to Randy Bulatao, Susan Cochrane, Dennis de Tray, Barbara Herz, Elizabeth King, Lant Pritchett, Agnes Quisumbing, Martin Ravallion, Guilherme Sedlacek, Roger Slade, Lawrence Summers, journal referees, and especially to D. Gale Johnson, editor of this journal. The views expressed here are the views of the authors and should not be attributed to any other person or organization, including the World Bank. Any errors and omissions are the responsibility of the authors.

1. See, e.g., T. P. Schultz, "Returns to Women's Education," PHRWD Working Paper no. 001 (World Bank, Washington, D.C., 1989); W. P. Mauldin and J. A. Ross, "Family Planning Programs: Efforts and Results, 1982-89," Studies in Family Planning 22, no. 6 (November/December 1991): 350-67.

2. B. K. Herz, "Official Development Assistance for Population Activi- ties: A Review," World Bank Staff Working Paper no. 688, Population and Development Series, no. 31 (World Bank, Washington, D.C., 1984).

3. R. E. Lightbourne, "Reproductive References and Behavior," in The World Fertility Survey, ed. J. G. Cleland and Christopher Scott (New York: Oxford University Press, 1987).

4. T. P. Schultz, "Assessing Family Planning Cost-Effectiveness: Appli- cability of Individual Demand-Program Supply Framework" (Department of Economics, Yale University, New Haven, Conn., 1990, mimeographed).

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5. Ibid.; J. Behrman, "The Action of Human Resources and Poverty on One Another: What We Have Yet to Learn," LSMS Working Paper no. 74 (World Bank, Washington, D.C., 1990).

6. World Fertility Survey and United Nations, Fertility Behavior in the Context of Development-Evidence from the World Fertility Survey, Popula- tion Studies Series, no. 100, Department of International Economics and So- cial Affairs (New York: United Nations, 1987).

7. Mauldin and Ross found similar results. 8. The under-five mortality rate also affects the TFR but is endogen-

ous, since better-educated women are more likely to have knowledge of pre- ventive health care and to seek medical attention for their children. Mortality for children younger thda five therefore does not enter this equation directly, but both female educatiod and population per physician probably do.

9. See, e.g., S. H. Preston, "Causes and Consequences of Mortality in Less Developed Countries during the Twentieth Century," in Population and Economic Change in Developing Countries, ed. R. Easterlin (New York: Na- tional Bureau of Economic Research, 1980), pp. 289-360, and "Mortality and Development Revisited," Population Bulletin of the United Nations, 18 (1985): 34-40; D. Wheeler, "Female Education, Family Planning, Income and Popula- tion: A Long-Run Econometric Simulation Model," in The Effects of Family Planning Programs on Fertility in the Developing World, ed. N. Birdsall, World Bank Staff Working Papers, no. 677, Population and Development Se- ries, no. 2 (Washington, D.C.: World Bank, 1980), pp. 116-206; B. Mensch, H. Lentzner, and S. Preston, Socio-Economic Differentials in Child Mortality in Developing Counties (New York: United Nations, 1986); and E. M. King and M. A. Hill, Women's Education in Developing Countries: Barriers, Bene- fits and Policy (Baltimore: Johns Hopkins University Press, 1991). For thoughtful reviews of studies, see S. Cochrane, D. O'Hara, and J. Leslie, "The Effects of Education on Health," World Bank Staff Working Papers, no. 405 (World Bank, Washington, D.C., 1980); S. Cochrane, D. O'Hara, and J. Leslie, "Parental Education and Child Health: Intracountry Evidence," Health Policy and Education 2 (1982): 213-50; Behrman; and T. P. Schultz, "Investments in the Schooling and Health of Women and Men: Quantities and Returns" (paper presented at the Conference on Women's Human Capital and Development, Bellagio, Italy, May 18-22, 1992).

10. Our measure of health services is thus obviously inadequate. We wish we had exogenous measures of the availability of other kinds of health care. Another health variable was available, namely, percent of infants immunized. But it is potentially endogenous. It reflects the interaction of demand as well as availability since better-educated women are more likely to bring their chil- dren to health centers to be immunized. We therefore did not include it in our main equations. It would have been most interesting had we had data on access to immunization as distinct from use, since access would have been exogenous and thus could have shown the impact of making immunization available.

11. World Bank, World Development Report 1987 (New York: Oxford University Press, 1987).

12. World Bank Economic and Social Database (BESD). 13. R. Summers and A. Heston, "The Penn World Table (Mark 5): An

Expanded Set of International Comparisons, 1950-1988," Quarterly Journal of Economics 106, no. 2 (May 1991): 327-68.

14. R. J. Lapham and W. P. Mauldin, "National Family Planning Pro- grams: Reviews and Evaluation," Studies in Family Planning 3, no. 3 (1982): 29-52; Mauldin and Ross (n. 1 above).

15. J. A. Ross, W. P. Green, S. R. Cooke, and E. R. Cooke, Family

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128 Economic Development and Cultural Change

Planning and Child Survival Programs as Assessed in 1991 (New York: Popu- lation Council, 1992). This index is one of the four components that make up the family planning program effort score in 1982 of Mauldin and Ross. We have chosen this component to isolate a nonendogenous supply variable.

16. World Bank. 17. United Nations, Levels and Trends of Contraceptive Use, United

Nations Women's Indicators and Statistics Spreadsheet Database for Micro- computers (WISTAT), version 2 (New York: United Nations, 1991).

18. A better approach, which was not used in this article for lack of data, would be to use years of schooling completed (or estimates of same), which would take into account primary school enrollment more effectively (see Schultz, "Returns" [n. 1 above]).

19. In this equation, since it does not have an interaction term, we can estimate the independent effect of family planning services.

20. We found the 1970 equation to yield unrealistic declines in TFR as a result of increasing female secondary enrollments by 1%, i.e., a reduction of close to 0.2 or a fifth of a child, in comparison to a tenth of a child in the 1975 equation.

21. The independent effect of family planning services cannot be esti- mated from this equation as the variable is nonsignificant. The effect of family planning services can only be evaluated with reference to specific levels of female enrollment.

22. Several micro-level studies based on household data sets have reached similar conclusions. For example, one recent careful study based on an Indonesian household-level data set confirms the small contribution of fam- ily planning program efforts to fertility decline (P. Gertler and J. Molyneaux, "Economic Opportunities, Program Inputs and Fertility Decline in Indonesia" [RAND Corporation, Santa Monica, Calif., 1992, mimeographed]). In this study, the authors show that over the period 1982-87, the combined educa- tional and economic impacts, working through increases in contraceptive use, accounted for 87% of fertility decline over the period. By contrast, measures of family planning program inputs were responsible for only 4%-8% of the decline. Of course, this study uses a fixed effects model, which relates changes during 1982-86 in family planning inputs and socioeconomic variables to changes in contraceptive use and fertility. Since family planning was already quite well established in 1982, these results may reflect this context.

23. Infant survival rate was computed as 1 - (IMR/1,000) multiplied by TFR.

24. Calculated using the predicted values of TFR and actual female popu- lation of childbearing age (15-44) in the sample countries for 1985.

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