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Geography and culture matter for malnutrition
in Bolivia
Rolando Morales*, Ana Marıa Aguilar, Alvaro Calzadilla
Ciess-Econometrica, Bolivia
Abstract
The prevalence of health problems and malnutrition in Bolivia is exceptionally high, even in
comparison to other underdeveloped countries. This study analyzes the relationship between a two
measures of child health—height-for-age and weight-for-age z-scores—and a set of physical and
cultural determinants of child nutrition, including mother’s characteristics, household assets and
access to public services. The ultimate aim is to identify the most important determinants of child
health and to measure the relative impact of each factor on the height and weight z-scores. A
sequential strategy was adopted in order to estimate a two-equation linear model with correlated error
terms. A major finding points to geographical and cultural variables as main causes of nutritional
status and highlights the role of mother’s anthropometrical characteristics. This study uses data on
over 3000 children gathered from a Demographic and Health Survey (DHS).
# 2004 Elsevier B.V. All rights reserved.
JEL classification: O12; I12; I38
Keywords: Child malnutrition; Height; Weight; Child health; SUR estimation
1. Introduction
The purpose of this study is to identify the principal determinants of child health in
Bolivia. The indicators used to measure child health are the height-for-age z-score and the
weight-for-age z-score of children less than 36 months of age. There are no standard
references for other indicators of malnutrition.
http://www.elsevier.com/locate/ehb
Economics and Human Biology 2 (2004) 373–389
* Corresponding author.
E-mail address: [email protected] (R. Morales).
1570-677X/$ – see front matter # 2004 Elsevier B.V. All rights reserved.
doi:10.1016/j.ehb.2004.10.007
Among the determinants of child health, we consider physical and cultural context,
mother’s social and anthropometric characteristics, household assets and access to public
services. We introduced sets of variables belonging to each of the described categories
in a stepwise approach. In the first steps, OLS models were estimated for height and
weight z-scores. Thereafter, we applied an algorithm for simultaneous estimation of both
equations, considering that they are correlated.
1.1. Malnutrition in Bolivia
Although malnutrition is a well-known problem in Bolivia, its complex causality is not
fully understood. Data provided by Demographic and Health Surveys (DHS) conducted in
1989, 1994, and 1998 indicate a downward trend in the percentage of undernourished
children. Unfortunately, this downward tendency for child malnutrition has been
accompanied by increases in certain underprivileged areas. For example, in the Department
of Potosi, the percentage of children under 2 standard deviation for height-for-age
increased from 33.2% in 1994 to 49.2% in 1998. Table 1 describes the evolution of z-scores
of height-for-age, weight-for-age and height-for-weight between 1994 and 1998; it also
shows the differences in nutritional status between males and females, and urban and rural
children.
The 1998 DHS shows that more than 25% of children are below �2 z-score for height-
for-age, 50% of them had a z-score lower than �1.15 and half fall between �2.09 and
�0.27. Very few children have a height-for-age score over zero.
The same survey shows that 10% of children are below �2 standard deviations for
weight-for-age, 50% have a z-score lower than �0.53 and 50% fall between �1.28 and
0.28. Nearly 40% of children had a weight-for-age z-score over zero and only 1.5% of
children had a weight-for-age z-score over 2 standard deviations. These data illustrate that
malnutrition affects child height more than weight.
1.2. Geographical and Ethnic Characteristics
Bolivia is located between the Tropic of Cancer (23.45N latitude) and the Tropic of
Capricorn (23.45S latitude), and is classified as a tropical country even though a
significant portion of its territory is not tropical. The population is overwhelmingly
concentrated in high and cold areas with low agricultural productivity. Bolivia is the only
country in the Americas where indigenous peoples (Aimaras, Quechuas and other ethnic
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389374
Table 1
Percentage of children two standard deviations below the median (z-scores: children between 3 and 35 months old)
Characteristics Height-for-age Weight-for-age Weight-for-height
1994 1998 1994 1998 1994 1998
Male 28.2 27.1 16.5 9.9 5.5 2.1
Female 28.3 24.0 15.2 9.0 3.2 1.4
Urban 20.9 18.3 11.6 6.1 3.3 1.3
Rural 36.6 35.6 20.4 14.1 5.6 2.4
Source: Instituto Nacional de Estadıstica, Bolivia.
groups) continue to represent the majority of the population. In addition, the pattern of
human settlement shows a high concentration in a few main cities and dispersion in
rural areas. Generally, towns distant from the main cities have insufficient community
facilities.
Bolivia’s geography varies widely, from tropical in the lowlands to glacial in the highest
parts of the Andes. Temperatures depend primarily on elevation and show little seasonal
variation. The adverse geographical environment aggravates the problems of income
generation and domestic food production. Another major obstacle to accessing basic
services and markets in the main cities is inadequate and costly transportation caused by
the country’s rocky terrain and scattered population. In addition, Andean inhabitants are all
too familiar with food crises; recurrent cycles of drought, frost and hail affect crops and
frequently kill livestock.
1.3. The data source
The DHS survey of 1998 is the primary source of information used in this research.
Physical measurements (height and weight) were taken of children under 3 years of age. A
second source of data is the geographical data base elaborated by Ciess-Econometrica,
which provided useful information at the municipal level. A third source is the information
about community services and facilities elaborated by UDAPE and the Viceministerio de
Participacion Popular at the municipal level. The height and weight data are converted into
z-scores.
The main effort to identify variables relating to child health has been focused on
variables that can explain the gap between the reference and the observed distribution of
the z-scores (for height or for weight). While a large volume of data is available, it fails to
provide information about the existence of specific nutritional programs, access to food,
regional feeding/eating practices, household consumption and prices.
Table 2 shows descriptive statistics concerning the variables identified as the most
important determinants of child nutrition and its taxonomy.
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389 375
Table 2
Descriptive statistics of the determinants of child nutrition
Group of variables Variables Signification Mean Std. dev. Minimum Maximum
Control variable Ch_age Age in months 17.54 10.21 0.00 35.00
(Ch_age)3 Cubic of child age
divided by 1000
10.96 12.77 0.00 42.88
Context variables Quechua Quechua speaking 0.18 0.39 0.00 1.00
Altitude Altitude (3000 m) 2.26 1.44 0.13 4.00
Mother’s characteristics Mo_height Mother height z-score �2.08 0.92 �4.11 1.94
Mo_edu Mother’s years of
education
6.25 4.69 0.00 19.00
Household assets and access
to public services
Floor Covered floor 0.56 0.50 0.00 1.00
Refrigerator Possesses refrigerator 0.23 0.42 0.00 1.00
Drainage Public sewer system 0.24 0.43 0.00 1.00
2. Modeling child health
A bidimensional measure of child health, hY1,Y2i, has been adopted, where Y1 is the
z-score for height and Y2 the z-score for weight for children under 3 years old. These two
variables, hY1,Y2i, are related to the set of variables listed in Table 2.
We have adopted a sequential strategy to identify the set of variables related to our
bidimensional measure of child health. In the first five steps of this sequence, we have
applied ordinary least squares (OLS) to estimate each equation related to height and to
weight z-scores. In the sixth step, we have assumed the general framework under the
umbrella of a simultaneous equation system with the SUR option.
3. The model
We have elaborated six models from the simplest to the most complex. Each new model
contains the variables included in the previous one. Each step in building the model takes
variables in the same order as presented in Table 2.
3.1. Control variables
Most studies aimed at identifying factors that explain the anthropometric differences
between the observed population and the reference population have shed light on a
systematic age effect (Thomas et al., 1992; Gibson, 2002; Barooah, 2002). This effect was
also found in our data. The outcome of the estimation by OLS corresponding to the first
step in the model building process is shown in Appendix Table A.1. The independent
variables in this model are the child age and the cubic of the child age divided by 1000. At
the end of this paper, Table 6 shows that at each step in the process of developing the model,
the coefficient estimates related to age (for height and weight) have only small variations.
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389376
Table A.1
Estimation with the control variable
Dependent
variables
N observations Parameters Root mean
square error
Square multiple
correlation
Fisher-stat Probability
Ch_height 3099 2 1.22 0.12 214.94 0.00
Ch_weight 3099 2 1.04 0.16 289.72 0.00
Equation Coefficients Std. err. t-Student P > t [95% Confidence
interval]
Ch_height
Ch_age �0.10 0.01 �18.61 0.00 �0.11 �0.09
Ch_age3000 0.06 0.00 13.50 0.00 0.05 0.07
_cons �0.05 0.06 �0.87 0.38 �0.17 0.06
Ch_weight
Ch_age �0.11 0.00 �22.79 0.00 �0.12 �0.10
Ch_age3000 0.07 0.00 17.89 0.00 0.06 0.07
_cons 0.65 0.05 12.77 0.00 0.55 0.75
In Appendix Table A.1, the R2 coefficients show that 12.19% of the total variation of the
z-score for height is explained by the age effect and 15.77% of the variation of the z-score
of weight is explained by this variable. All the estimates are significant. We could also
investigate the existence of a specific gender effect. If we add a gender variable to the
previous model, the coefficient estimates are not significant.
Fig. 1 shows a negative trend between birth and 20–24 months, and an improvement
thereafter. As expected, weight precedes height slightly in both the decreasing and
increasing sides of the curve.
3.2. Context variables
The circumstance variables for child-bearing are related to cultural and geographical
context and to the anthropometrical characteristics of their mothers.
3.2.1. Cultural context
Language is one way to identify culture. In Bolivia, in addition to Spanish, there are two
principal indigenous cultures: Quechua and Aimara.
Good childcare practices are, in many cases, behaviors acquired informally. This means
that culture is important and that verbal communication has great relevance. In Bolivia,
Spanish is the institutional’’ language.1 Women who speak only native languages tend to
close around the family and seek help from elder relatives, who often provide inadequate
advice. Table 3 shows the mean of the child’s z-scores for height and weight according to
the mother’s language. It is therefore possible to see the difference between the
anthropometric indicators in each one of these cultures. In a previous regression exercise
(not reported here), we included the Aimara and Quechua languages as dummy variables.
Both variables were statistically significant; however, the Aimara coefficients became less
significant when other mother-related variables were introduced, particularly the mother’s
education. Compared to their Spanish and Aimara peers, Quechua mothers have the worst
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389 377
Fig. 1. The age effect on nutrition.
1 The majority of health workers use Spanish to address and instruct mothers. This is an important
disadvantage for all non-Spanish-speaking mothers.
child health indicator. These differences are related to the education of mothers. When we
introduce anthropometric characteristics and education of mothers in the regression, the
Aimara effect loses its significance, as opposed to the Quechua effect which, even in the
presence of other variables, continues to be significant. We further develop this point in the
section related to mother’s characteristics.
It is not clear why Quechua children have worse nutritional indicators than other
children.2 It is generally accepted3 that genetics have minimal influence on the nutritional
status of children under 3 years old. Therefore, differences in nutritional indicators seem to
be highly correlated to cultural patterns of childcare. In this case, however, despite the
existence of several studies pointing out that Quechua-speaking families (after controlling
for other factors) have worse nutritional indicators than others, no studies have aimed at
identifying factors that could explain these differences. In Appendix Table A.2, the
coefficient estimate for this variable (Quechua) is high in both equations. Nevertheless, it
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389378
Table 3
Height and weight child z-scores (means) by mother’s language
Language Ch_height Ch_weight
Spanish �1.03 �0.38
Aimara �1.56 �0.58
Quechua �1.75 �0.87
Table A.2
Adding Quechua culture
Dependent
variables
N observations Parameters Root mean
square error
Square multiple
correlation
Fisher-stat Probability
Ch_height 3099 3 1.18 0.17 213.58 0.00
Ch_weight 3099 3 1.02 0.19 242.00 0.00
Equation Coefficients Std. err. t-Student P > t [95% Confidence
interval]
Ch_height
Ch_age �0.10 0.01 �19.58 0.00 �0.11 �0.09
Ch_age3000 0.06 0.00 14.17 0.00 0.05 0.07
Quechua �0.74 0.05 �13.61 0.00 �0.85 �0.64
_cons 0.11 0.06 1.95 0.05 0.00 0.23
Ch_weight
Ch_age �0.11 0.00 �23.58 0.00 �0.12 �0.10
Ch_age3000 0.07 0.00 18.46 0.00 0.06 0.07
Quechua �0.53 0.05 �11.12 0.00 �0.62 �0.43
_cons 0.76 0.05 15.05 0.00 0.66 0.86
2 For example, if both have common conditions of life, it is not clear why Aimara children’s nutrition
indicators are better than Quechua children’s. This was also observed by Miller (1985) and Greksa (1984). They
found that, controlling all other factors, indigenous children have worse indicators than Hispanic children. They
did not look for an explanation to this phenomenon. More research is needed to identify the causes of bad nutrition
indicators among indigenous children.3 See, for example, Habicht et al. (1974).
decreases after the introduction of other variables in the model (Table 6). The inclusion of
this variable allows us to explain the height and weight z-scores of 17.15 and 19.00%,
respectively. Quechua is a dummy variable. Appendix Table A.2 shows that belonging to
Quechua culture results in a height z-score 0.74 points below the height mean and a weight
z-score 0.53 points below the weight mean.
3.2.2. Physical context
Geography is widely accepted to be one of the most important factors underlying
Bolivian development. However, there is still insufficient knowledge to explain: the
relative importance of these variables in the Bolivian developmental process, especially
health and nutrition compared to other economic and political variables; the relationship
between geography and human settlement patterns; the capacity of geographic variables to
explain nutritional disparities; and the possibility that regional nutritional disparities will
diminish in the future.
People whose livelihood depends on agriculture are influenced by annual fluctuations of
rainfall and temperature. This is particularly true in rural areas without irrigation facilities.
Climatic seasonality affects the growing and harvesting of crops, as well as the scheduling
and intensity of both agricultural and off-farm labor.
Some papers analyzing the high prevalence of malnutrition in Bolivia have
hypothesized that factors such as high altitude, low oxygen concentration (hypoxia)
and/or genetics have a negative influence on children’s growth.4 This argument was based
on anthropometric surveys which demonstrated that growth at high altitudes lagged behind
international growth standards, even when dietary surveys indicated sufficient nutrients. At
present, there is an ongoing debate about whether or not to accept high altitude as a factor in
malnutrition. A number of papers show that good health-care practices can result in normal
patterns of growth and development in children despite high altitude. However, our model
suggests that altitude does in fact have an impact on nutrition.
A well-documented volume on high altitude (Heath and Reid, 1995) points out that
altitude causes a reduction in barometric pressure, oxygen concentration and humidity,
while also increasing coldness, and solar, ultraviolet and cosmic radiation. These factors
establish a complex process of adaptation that includes most bodily systems. Basal
metabolism increases with altitude and coldness, and higher amounts of iron and energy
are required. Other symptoms like anorexia, low food ingestion, and high protein loss only
appear in circumstances of acute altitude change.
The term high altitude has no precise scientific definition. The authors defined it as
3000 m or more, based on the signs and symptoms suffered by lowlanders when ascending
mountains. The acclimatization and/or adaptation processes are complex. In addition to
low oxygen concentration with low atmospheric pressure, a variety of factors influence the
life of highlanders, such as genetic background, diet and chronic infections.
One example is the varied findings of studies on children living at high altitudes
worldwide. Most of them show that altitude plays a relative role in defining the growth
patterns of young children in comparison to other factors such as well-being and
socioeconomic conditions.
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389 379
4 Frisancho and Beker (1970); Greksa (1986) (1984); see also Miller (1991).
Additionally, high altitude may increase the age of menarche and decrease the rate of
fertility, both important factors in preventing early pregnancies and increasing inter-
gestational gaps. Despite this, the weight of high-altitude newborns is described as lower
than that of those born at lower altitudes. This is explained by the reduction of maternal
oxygen transport, fetal hypoxia and limited fetal growth.
In our model-building process, altitude has a specific effect on children’s height and
weight in all its steps. Altitude is defined here as 3000 m or above. The estimate coefficient
for this variable in the equation for height z-score is �0.16 and in the equation for weight z-
score is �0.07. This means, for example, that the children in the Altiplano (which has an
altitude of 4000 m) risk having z-scores 0.48 and 0.28 for height and weight, respectively,
lower than children living at sea level. Furthermore, its coefficient estimates vary only
slightly (Table 6) when other variables are introduced into the model. All the coefficients
are significant at 0.0000 level.
In Appendix Table A.3, the R2 coefficients show that after adding altitude, 20.21% of the
z-score variation for height and 19.75% of the z-score variation for weight are explained by
the independent variables of the model.
3.3. Mother’s characteristics
3.3.1. Mother’s anthropometrics
Some authors (Barrera, 1990) have suggested that the contribution of maternal
education to child health may be overestimated if maternal physical measures (such as
height and body mass index) are not controlled.
To a certain degree, maternal height results from the mother’s personal nutrition history
and the conditions of her life since birth. Small maternal size reflects a history of
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389380
Table A.3
Adding altitude
Dependent
variables
N observations Parameters Root mean
square error
Square multiple
correlation
Fisher-stat Probability
Ch_height 3099 4 1.16 0.20 195.88 0.00
Ch_weight 3099 4 1.02 0.20 190.39 0.00
Equation Coefficients Std. err. t-Student P > t [95% Confidence
interval]
Ch_height
Ch_age �0.10 0.01 �19.89 0.00 �0.11 �0.09
Ch_age3000 0.06 0.00 14.33 0.00 0.05 0.07
Quechua �0.62 0.05 �11.33 0.00 �0.73 �0.51
Altitude �0.16 0.01 �10.88 0.00 �0.19 �0.13
_cons 0.45 0.07 6.93 0.00 0.33 0.58
Ch_weight
Ch_age �0.11 0.00 �23.66 0.00 �0.12 �0.10
Ch_age3000 0.07 0.00 18.49 0.00 0.06 0.07
Quechua �0.47 0.05 �9.82 0.00 �0.57 �0.38
Altitude �0.07 0.01 �5.39 0.00 �0.10 �0.04
_cons 0.91 0.06 15.86 0.00 0.80 1.02
deprivation that is directly associated with the reproduction of small progeny. However, the
impact of small maternal size goes beyond the outcome of pregnancy. It often limits a
woman’s capacity for work and leads to the growth of a stunted child with learning
disabilities. Data shows that a significant proportion of Bolivian women are relatively
short: half of them are below �2 standard deviations for height.
In appendix Table A.4 shows the results of the new model with the addition of the
mother’s height z-score. The coefficients for the mother’s height z-score are positive in both
equations: 0.34 in the first and 0.21 in the second. This shows the intergenerational effects
of the mother’s anthropometrics. Nevertheless, it is worth noting that if the height z-score
of the mother is �2.0, the height z-score for the child will diminish only by 0.68. All
coefficients are statistically significant, and the R2 coefficients increase in a significant way.
Now, 25.84% of the variation of the height z-score for the height and 22.57% of the
variation of the weight z-score are explained by variables of the model. The coefficients of
age and altitude change only a little.
To understand the effect of Aimara culture on nutrition, we have introduced a dummy
variable Aimara in the regression (after adding the mother’s height) obtains the level of
significance reported in Table 4.
As this table shows, the Aimara language is significant in the first equation but not in the
second. The overall test for both equations (not reported here) shows that, in this stage of
the model, the variable Aimara is still significant. Nevertheless, when we introduce
variables related to mother’s education, this variable loses significance (see below).
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389 381
Table A.4
Adding mother’s height z-score
Dependent
variables
N observations Parameters Root mean
square error
Square multiple
correlation
Fisher-stat Probability
Ch_height 3099 5 1.12 0.26 215.56 0.00
Ch_weight 3099 5 1.00 0.23 180.27 0.00
Equation Coefficients Std. err. t-Student P > t [95% Confidence
interval]
Ch_height
Ch_age �0.10 0.01 �20.06 0.00 �0.11 �0.09
Ch_age3000 0.06 0.00 14.15 0.00 0.05 0.06
Quechua �0.50 0.05 �9.45 0.00 �0.61 �0.40
Altitude �0.13 0.01 �8.78 0.00 �0.15 �0.10
Mo_height 0.34 0.02 15.33 0.00 0.30 0.39
_cons 1.05 0.07 14.16 0.00 0.91 1.20
Ch_weight
Ch_age �0.11 0.00 �23.68 0.00 �0.11 �0.10
Ch_age3000 0.07 0.00 18.32 0.00 0.06 0.07
Quechua �0.40 0.05 �8.38 0.00 �0.49 �0.31
Altitude �0.05 0.01 �3.77 0.00 �0.07 �0.02
Mo_height 0.21 0.02 10.60 0.00 0.17 0.25
_cons 1.28 0.07 19.30 0.00 1.15 1.41
3.3.2. Mother’s education
Formal education enables women to use the environment more fully to their own
advantage.5 It is also a potential source of higher income and empowerment. The impact on
child care may start with communication in Spanish, making better use of facilities and
understanding child care directions more thoroughly. A literate mother may take more
advantage of programs of mass communication, such as educational posters and leaflets
used by health institutions. Knowledge about nutrition becomes more relevant as an input
to child nutritional status (Webb and Block, 2003). In Bolivia, according to the DHS, one-
third of mothers have no more than 3 years of schooling and less than 10% have completed
secondary school.
An extensive body of literature supports the notion that a mother’s education is a
determinant of children’s nutritional status (Behrman and Wolfe, 1984; Thomas, Strauss
and Henriques, 1991; Gibson, 2001; Borooah, 2002,6 etc.). However, there is some
disagreement about its importance in relation to other determinants. Haddad et al. (2002),
on the basis of DHS studies for 16 countries, found that parental education is a positive and
significant determinant of the weight-for-age indicator in only slightly more than one-third
of cases. This finding contradicts the conventional wisdom that gives mother’s education
priority in the list of determinants of children’s nutritional status (see also Stifel et al.,
1999).
Duncan Thomas (1994) used household surveys from the United States, Brazil and
Ghana to show that a mother’s education has a greater effect on her daughter’s height, and
that a father’s education has a greater impact on his son’s height. The Bolivian DHS study,
however, does not support this finding.
In appendix Table A.5 shows the estimation outcome of the new model with the addition
of mother’s education. This table shows that a one-year increase in mother’s education
increases the height z-score by 0.06 and the weight z-score by 0.04. All coefficients in the
table are statistically significant at 0.0000. In addition, the table shows that the R2
coefficients increase by a significant amount. 29.05% of the total variation of the height z-
score and 24.57% of the variation of the weight z-score are explained by the variables of the
model.
We can observe in Table 6 that the coefficients of age and altitude change only slightly
with the addition of the new variables. However, the coefficient of Quechua language
shows a significant change. Adding to this model the dummy variable Aimara, all the other
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389382
Table 4
Effect of Aimara language on regression Appendix Table A.4
Equation Coef. Std. Err. T P > t
Ch_height Aimara �34.4483 9.4008 �3.6600 0.0000
Ch_weight Aimara �13.0373 8.3030 �1.5700 0.1160
Note: non-significant parameters are in bold.
5 See, for example, Barrera (1990); Behrman (2000), and Thomas (1994).6 Barooah (2002), in line with Basu and Foster (1998), employs a wider concept of literacy, pointing out the
important influence a literate person has on an illiterate mother.
variables are still significant. However, the Aimara language is no longer significant in any
of the equations (Table 5).
This is an important issue because it shows that the low nutritional levels in the Aimara
population are due to lack of mother’s education rather than simply being Aimara. In
contrast, being Quechua is still significant for explaining malnutrition.
3.4. Household assets and access to public services
As previously mentioned, the DHS survey does not have information about household
expenditures or assets. Lacking income and assets data, whether the dwelling’s floor is
covered or uncovered is considered an acceptable indicator of the household’s permanent
income.7 Possession of a refrigerator is also associated with income.
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389 383
Table 5
Effect of Aimara language on regression Appendix Table A.5
Equation Coef. Std. err. T P > t
Ch_height Aimara �11.4211 9.4485 �1.2100 0.2270
Ch_weight Aimara 2.8020 8.5192 0.3300 0.7420
Table A.5
Adding mother’s education
Dependent
variables
N observations Parameters Root mean
square error
Square multiple
correlation
Fisher-stat Probability
Ch_height 3099 6 1.10 0.29 211.04 0.00
Ch_weight 3099 6 0.99 0.25 167.84 0.00
Equation Coefficients Std. err. t-Student P > t [95% Confidence
interval]
Ch_height
Ch_age �0.10 0.00 �20.45 0.00 �0.11 �0.09
Ch_age3000 0.06 0.00 14.47 0.00 0.05 0.06
Quechua �0.26 0.06 �4.68 0.00 �0.37 �0.15
Altitude �0.15 0.01 �10.35 0.00 �0.17 �0.12
Mo_height 0.28 0.02 12.68 0.00 0.24 0.33
Mo_edu 0.06 0.00 11.83 0.00 0.05 0.06
_cons 0.58 0.08 7.01 0.00 0.42 0.74
Ch_weight
Ch_age �0.11 0.00 �23.94 0.00 �0.11 �0.10
Ch_age3000 0.07 0.00 18.56 0.00 0.06 0.07
Quechua �0.23 0.05 �4.61 0.00 �0.33 �0.13
Altitude �0.06 0.01 �4.90 0.00 �0.09 �0.04
Mo_height 0.17 0.02 8.48 0.00 0.13 0.21
Mo_edu 0.04 0.00 9.06 0.00 0.03 0.05
_cons 0.96 0.07 12.79 0.00 0.81 1.10
7 The 2000 Mecovi Data shows that among households with a covered floor, 62% are not extremely poor,
whereas in households with an uncovered floor, 62% are extremely poor.
In many papers, access to running water appears to be an important factor related to
child health. In our study, access to sewage is more important than access to running water.
Nevertheless, access to sewage generally means access to running water.
Appendix Table A.6 shows the outcome of the model’s estimates adding the variables
floor, refrigerator, and drainage. Given that the new variables introduced in the model are
dichotomous, the difference in the child height z-score between a household with a covered
floor and refrigerator and one with neither is 0.76. The difference in the weight z-score is
0.61. Therefore, these variables are important factors explaining child health.
Given that the data about height and weight are from the same children, we can expect
correlation among the equations explaining both variables. The application of a SUR
algorithm for the simultaneous estimation of both equations provides very similar
estimators than those of the OLS estimation, but with smaller standard errors. Appendix
Table A.6 shows the results of the new and final model with the SUR assumption. The
correlation between residuals is 0.5403 and is significant at the 0.0000 level.
It is possible to see in Appendix Table A.6 that all coefficients are statistically
significant at 0.01 (at least). In addition, this table shows that the R2 coefficients have
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389384
Table A.6
Adding household assets and public services
Dependent
variables
N observations Parameters Root mean
square error
Square multiple
correlation
Fisher-stat Probability
Ch_height 3099 9 1.07 0.32 1446.45 0.00
Ch_weight 3099 9 0.97 0.27 1138.01 0.00
Equation Coefficients Std. err. t-Student P > t [95% Confidence
interval]
Ch_height
Ch_age �0.10 0.00 �21.29 0.00 �0.11 �0.09
Ch_age3000 0.06 0.00 14.98 0.00 0.05 0.07
Quechua �0.18 0.06 �3.20 0.00 �0.29 �0.07
Altitude �0.16 0.02 �10.64 0.00 �0.19 �0.13
Mo_height 0.27 0.02 12.02 0.00 0.22 0.31
Mo_edu 0.02 0.01 4.63 0.00 0.01 0.04
Floor 0.28 0.05 5.85 0.00 0.19 0.37
Refrigerator 0.34 0.06 6.05 0.00 0.23 0.45
Drainage 0.14 0.06 2.59 0.01 0.03 0.25
_cons 0.50 0.08 6.11 0.00 0.34 0.66
Ch_weight
Ch_age �0.11 0.00 �24.69 0.00 �0.12 �0.10
Ch_age3000 0.07 0.00 19.07 0.00 0.06 0.07
Quechua �0.15 0.05 �3.04 0.00 �0.25 �0.05
Altitude �0.08 0.01 �6.01 0.00 �0.11 �0.06
Mo_height 0.16 0.02 7.94 0.00 0.12 0.20
Mo_edu 0.01 0.00 2.89 0.00 0.00 0.02
Floor 0.25 0.04 5.68 0.00 0.16 0.33
Refrigerator 0.19 0.05 3.81 0.00 0.09 0.29
Drainage 0.17 0.05 3.43 0.00 0.07 0.27
_cons 0.91 0.07 12.13 0.00 0.76 1.05
R.
Mo
rales
eta
l./Eco
no
mics
an
dH
um
an
Bio
log
y2
(20
04
)3
73
–3
89
38
5
Table 6
Estimation summary
Square multiple
correlation
Model 1 Model 2 Model 3 Model 4 Model 5 Model 6
Control
variable (age)
Quechua Quechua
and altitude
Mother’s
height z-score
Mother’s
education
Assets and public
services, SUR model
Ch_talla 0.12 0.17 0.20 0.26 0.29 0.32
Ch_peso 0.16 0.19 0.20 0.23 0.25 0.27
Ch_talla
Ch_age �0.10 �0.10 �0.10 �0.10 �0.10 �0.10
Ch_age3000 0.06 0.06 0.06 0.06 0.06 0.06
Quechua �0.74 �0.62 �0.50 �0.26 �0.18
Altitude �0.16 �0.13 �0.15 �0.16
Mo_height 0.34 0.28 0.27
Mo_edu 0.06 0.02
Floor 0.28
Refrigerator 0.34
Drainage 0.14
_cons �0.05 0.11 0.45 1.05 0.58 0.50
Ch_peso
Ch_age �0.11 �0.11 �0.11 �0.11 �0.11 �0.11
Ch_age3000 0.07 0.07 0.07 0.07 0.07 0.07
Quechua �0.53 �0.47 �0.40 �0.23 �0.15
Altitude �0.07 �0.05 �0.06 �0.08
Mo_height 0.21 0.17 0.16
Mo_edu 0.04 0.01
Floor 0.25
Refrigerator 0.19
Drainage 0.17
_cons 0.65 0.76 0.91 1.28 0.96 0.91
increased again. 31.82% of the total variation of the height z-score and 26.86% of the
variation of the weight z-score are explained by the model’s variables.
As one can see, it is possible to reject the hypothesis that some of the coefficients in both
equations are nil. This is an important result because it shows that the variables in the final
model are meaningful to the children’s health.
3.5. Summary of different models
In the six models developed, all the coefficients are significant at 0.01 level. In Table 6, it
is clear that: (a) the coefficient estimates of age and the cubic of age in both equations vary
slightly with the introduction of new variables in the model, suggesting that these variables
have a strong lineal independence from the other variables in the model; (b) we can make a
similar observation for altitude; (c) the introduction of mother’s height, skills and assets
changes the estimation of the cultural variable Quechua, but the magnitude of the change
was not enough to loose signification (which was not the case with the Aimara culture); (d)
the importance of mother’s height diminishes when we account for skills; (e) the
importance of the mother’s education decreases when assets and residence are taken into
account.
R. Morales et al. / Economics and Human Biology 2 (2004) 373–389386
Table 7
Tests of equality of the coefficients in both equations
Are the estimates equal? Ch_height–Ch_weight = 0
Chi(1) Prob > Chi(1)
Ch_age 1.35 0.2448 Yes
(Ch_age)3 6.21 0.0127 Yes
Quechua 0.24 0.6209 Yes
Altitude 32.16 0.0000
Mo_height 27.68 0.0000
Mo_edu 4.85 0.0277 Yes
Floor 0.60 0.4367 Yes
Refrigerator 8.03 0.0046
Drainage 0.32 0.5716 Yes
_cons 28.31 0.0000
Fig. 2. Partial correlations with height and weight z-scores controlling all other variables.
Table 7 provides a surprising result: six out of nine variables in both equations do not
have statistically different coefficients. This means, for example, that belonging to
Quechua culture has a similar effect in the height z-score as in the weight z-score. That is
also the case for the mother’s education, and for households with a covered floor and access
to public services. Concerning variables that do not have similar effects, we can observe
that mother’s height is more important for height than for weight and that altitude
influences height than weight.
Finally, Fig. 2 shows the partial correlation of health indicators for each one of the sets
of variables defined in Table 2, controlling the other sets. All partial correlations are
significant at the 0.0000 level.
4. Conclusion
This study indicates that the number of stunted and underweight children in Bolivia
remains high. To identify the factors explaining this observation, we have tested a set of
regression models.
Factors related to child health were classified as control variables, context variables,
mother’s characteristics, household assets and access to public services.
Equations for height and weight z-scores were estimated, adding in each step the
following variables: (1) children’s age, (2) altitude and mother’s language, (3) mother’s
height and mother’s education, (4) household assets, consisting of having a covered floor,
possession of a refrigerator, and public drainage through the public sewer. To complete the
analysis, two simultaneous equation models were estimated. The model considered
belongs to the family of seemingly unrelated regression (SUR) models, with two equations:
Y1 to explain height scores and Y2 to explain weight scores.
The main finding of the study is that altitude and Quechua culture both influence child
health. Finally, we emphasize the need for more investigations of the physical process in
which these factors affect children’s nutrition.
Acknowledgments
The authors would like to thank IADB Research Network for financial support and Jere
Behrman and Emmanuel Skoufias for useful comments that helped improve earlier
versions of this paper.
Appendix A
See Tables A.1–A.6.
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