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1 DIFFERENTIAL NUTRITIONAL RESPONSES ACROSS VARIOUS INCOME SOURCES AMONG EAST AFRICAN PASTORALISTS: INTRAHOUSEHOLD EFFECTS, MISSING MARKETS AND MENTAL ACCOUNTING Kira M. Villa, Cornell University Christopher B. Barrett, Cornell University David R. Just, Cornell University August 2010 We thank seminar audiences at Cornell University and an anonymous referee for their helpful comments. These data were collected by the Pastoral Risk Management Project of the Global Livestock Collaborative Research Support Program which is funded by the Office of Agriculture and Food Security, Global Bureau, USAID, under grants DAN-1328-G-00-0046-00 and PCE-G- 98-00036-00. Partial funding for write-up was provided by the USAID Assets and Market Access CRSP. The opinions expressed do not necessarily reflect the views of the U.S. Agency for International Development.
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1

DIFFERENTIAL NUTRITIONAL RESPONSES ACROSS

VARIOUS INCOME SOURCES AMONG EAST AFRICAN PASTORALISTS: INTRAHOUSEHOLD EFFECTS, MISSING

MARKETS AND MENTAL ACCOUNTING

Kira M. Villa, Cornell University Christopher B. Barrett, Cornell University

David R. Just, Cornell University

August 2010

We thank seminar audiences at Cornell University and an anonymous referee for their helpful

comments. These data were collected by the Pastoral Risk Management Project of the Global

Livestock Collaborative Research Support Program which is funded by the Office of Agriculture

and Food Security, Global Bureau, USAID, under grants DAN-1328-G-00-0046-00 and PCE-G-

98-00036-00. Partial funding for write-up was provided by the USAID Assets and Market

Access CRSP. The opinions expressed do not necessarily reflect the views of the U.S. Agency

for International Development.

2

DIFFERENTIAL NUTRITIONAL RESPONSES ACROSS VARIOUS INCOME

SOURCES AMONG EAST AFRICAN PASTORALISTS: INTRAHOUSEHOLD

EFFECTS, MISSING MARKETS AND MENTAL ACCOUNTING

Abstract

In this paper we explore the relationship between dietary diversity and income in pastoralist

households in East Africa. Previous estimates of income elasticities of nutrient demand have

ranged from zero to unity. However, these estimates are always based on total income. One

possible reason for this wide range is that dietary behavior may respond differently to different

sources of income if, for example, agents engage in “mental accounting”, the practice of treating

distinct income sources as not fully fungible. Estimating income elasticities with total income

may mask these differential responses and result in very different income elasticity estimates

depending on which income source changes. Using dietary diversity as a measure of dietary

quality, we find that differential dietary responses do exist across income sources among the

pastoralist households studied. Possible explanations for this result include market failures for

certain commodities, intrahousehold bargaining and mental accounting. These differential

effects persist after accounting for intrahousehold bargaining, market failures and after using

exogenous variations of the different income sources. While we cannot test it explicitly as an

explanation, mental accounting does appear to play some part in explaining the dietary patterns

evident in this sample.

3

I. Introduction

The field of development economics is largely devoted to exploring ways of combating

poverty, along with its many adverse effects. In countries at all levels of development, the food

insecurity and low nutrient intake of the poor have occupied a central place in the study of

poverty. Until recent decades, it was generally thought that the most effective way to combat

hunger and malnutrition was through economic growth and, more specifically, raising the

income of the poor. Conventional wisdom has held that while nutrient intake may not rise one

for one with income, the income elasticity of nutrient demand is still substantially greater than

zero.

In the last few decades however, some studies have challenged this idea arguing that

increases in income will not produce substantial improvements in nutrition (Behrman and

Deolalikar 1990, Behrman and Deolalikar 1989, Behrman and Deolalikar 1987, Behrman et al.

1988, Bouis 1994, Bouis and Haddad 1992). If this claim holds true, then it has significant

implications for how economists and policymakers think about the effects of economic growth

and development on hunger, malnutrition and household food security.

Traditionally it has been thought that the low nutrient intake of the poor is largely due to

low income. Substantial resources have therefore been devoted to income growth programs

aimed at improving nutrition in poor communities. However, despite many studies on the

subject, there is still little agreement over the extent to which nutrient consumption in poor

households responds to changes in their income. Studies examining this matter often look at the

intake changes of specific nutrients, particularly calories, in relation to changes in some measure

of income. The scope of the debate on this relationship ranges from studies arguing that the

calorie-income curve is essentially flat (Behrman and Deolalikar 1990, Behrman and Deolalikar

4

1987, Bouis 1994, Bouis and Haddad 1992, Wolfe and Behrman 1983) to the other extreme

where studies have estimated income elasticities of caloric demand close to one (Pitt 1983,

Strauss 1984). Other studies find a concave or elbow-shaped calorie-income curve (Ravallion

1990, Strauss and Thomas 1995, Strauss and Thomas 1990, Subramanian and Deaton 1996).

These latter findings indicate that among the very poor, nutrient intake would increase with

income up to a certain level, after which, the nutrient-income elasticity would decline possibly to

zero.

A number of reasons have been proposed for the wide range of estimates of the nutrient-

income elasticity for poor households.1

The rest of this paper explores the possibility of differential dietary responses to changes

in various income sources. Section II briefly reviews evidence thus far for the existence of

differential responses and reasons why they might occur, such as intrahousehold dynamics,

However the vast majority of studies on this matter have

not considered the possibility that nutrition may respond differently to different sources of

income. Most of these studies have thus far only explored the nutrition-income relationship

using total income. Yet, there are reasons to believe that where income comes from may change

how it is used in the household. These reasons include intrahousehold dynamics, market

imperfections or missing markets for certain goods, and mental accounting. Thus dietary

patterns may have differential responses to changes in different income sources. Therefore the

impact of income on nutrition might be more appropriately evaluated with income disaggregated

into different sources.

1 Behrman and Deolalikar (1987) argue that an aggregation bias resulting from common methods of inferring nutrient intake cause an upward bias in nutrient-income elasticity estimates. Bouis and Haddad (1992) claim that estimates are often overestimated due to ‘wastages and leakages’ often unobserved by common data collection methods as well as because of correlated measurement errors between explanatory and dependent variables. A number of other studies also point to non-linearities in the relationship between nutrient intake and income that are often unaccounted for in functional forms modeling this relationship (Ravallion 1990, Strauss and Thomas 1995, Strauss and Thomas 1990, Subramanian and Deaton 1996).

5

market imperfections and mental accounting. Section III describes our empirical model and

strategy for examining the relationship between dietary behavior and various income sources.

Section IV describes the data set used for this paper and the setting from which it comes.

Section V describes the econometric specifications used for estimation. Sections VI and VII

discuss estimation results and test for differential responses of dietary diversity to different

income sources. Finally, Section VIII concludes.

II. Differential Dietary Response across Income Sources

There is evidence that changes in certain income sources may impact food intake

differently than changes in other sources. There is a large literature that shows households in the

United States tend to have a larger marginal propensity to consume food out of food stamps than

out of cash income, even when households are unconstrained, 2 implying that food stamp income

has a different impact on household consumption than cash income (Devaney and Fraker 1989,

Fraker et al. 1995, Senauer and Young 1986). This phenomenon is often referred to as the food

stamp cash out puzzle. A number of studies have also found intrahousehold dynamics in resource

control and allocation cause different sources of income to have differential effects on household

consumption and expenditure activities3. Other studies have found differential expenditure and

consumption responses to changes in various income sources that were seemingly due to mental

accounting (Duflo and Udry 2004, Hoffmann 2007, Kooreman 2000, O’Curry 1997). 4

2 A household is unconstrained if it receives food stamps and but also spends a positive amount of cash income on food.

Differential dietary responses across income sources may also result due to the failure or absence

of markets for certain home-produced goods (de Janvry et al. 1991).

3 Some of this literature is reviewed in Behrman (1997), Haddad et al. (1997), Haddad et al. (1996) and Quisumbing (2003). 4 For a good discussion of the mental accounting literature see Thaler (1999).

6

Intrahousehold Bargaining Effects

Intrahousehold dynamics might cause household consumption to respond differently to

changes in different source of income due to differences in resource control and preferences

across various household members. Income sources typically controlled by household members

more concerned with diet and nutrition may have a very different impact on household diet and

food intake than other income sources controlled by members less interested in nutrition.

Indeed, there is a large literature discussing findings that show increases in women’s status,

income and control of resources have a positive effect on child health and expenditures on health

and human capital goods (Behrman 1997, Haddad et al. 1997, Haddad et al. 1996, Quisumbing

2003, Thomas 1990).

Breunig and Dasgupta (2005) examine the food stamp cash out puzzle and conjecture that

this discrepancy is driven primarily by the effects of intrahousehold bargaining. If so, then one

would expect multiple-adult households to exhibit this behavior but not single-adult households.

Studying households in San Diego, Breunig and Dasgupta (2005) find that single-adult

households show no difference in their marginal propensity to consume food out of food stamp

or cash income, while multiple-adult households have an approximately six to eight times higher

marginal propensity to consume food out of food stamp income than cash income. The authors

interpret this economically and statistically significant difference as supporting their

intrahousehold hypothesis.

7

Market Failures and Missing Markets

Household specific market failures, or missing markets in an extreme case, for particular

commodities may also cause varying expenditure responses to different income sources.

Selective market failures for certain home-produced goods may result when household

transactions costs associated with market participation for those goods increase to the point

where those goods are rendered non-tradable for the household in question. This then induces

such households to be autarkic producers and consumers of those particular goods (de Janvry et

al. 1991). Thus increases in household production of those goods would increase consumption

of just those goods, but have little to no impact on other household consumption goods. For

example, if market failures cause a household to be an autarkic producer and consumer of maize,

then marginal increases in maize production would increase household maize consumption but

have no substantial impact on household education expenditures. Thus, household-specific

missing markets or market failures may cause expenditure activities to respond differently to

changes in different sources of income. This explanation may be particularly relevant in some of

the more remote areas of developing countries that have limited access to formal markets.

Mental Accounting

Finally, households may spend various income sources differently due to what behavioral

economists refer to as mental accounting. One component of mental accounting is that income is

not fungible across different sources as standard economic theory would suggest. Instead,

people may assign certain expenditure activities, implicitly or explicitly, to specific ‘mental’

accounts funded by different sources of income. Thus changes in income and wealth in one

8

mental account, such as a windfall, are not perfect substitutes for income changes in another

account, such as wages for labor.

Instances of mental accounting are fairly well documented in consumer behavior in

developed countries and in experimental economics. However, studies explicitly testing for

mental accounting in developing countries are scarce. In a study conducted in Uganda,

Hoffmann (2007) found that households who received insecticide-treated mosquito nets, and

given the opportunity to sell them on site, were more likely to use them for household members

vulnerable to the effects of malaria. Alternatively, if households instead received cash to

purchase the nets on site, the nets were much more likely to be used by main income-earners in

the household.

Duflo and Udry (2004) found evidence of mental accounting in the expenditure patterns

of households in Cote d’Ivoire. They found that yam cultivation, which is typically male-

controlled, had a strong positive association with spending on household public goods and basic

necessities, such as education, food staples and overall food consumption. Meanwhile, they

found that changes in income from male non-yam crops and female cultivated crops were

strongly associated with consumption of adult and prestige goods (tobacco, alcohol, jewelry,

adult clothing and non-staple foods). Furthermore, increases in yam income were associated

with decreases in spending on adult and prestige goods, whereas increases in income from male

non-yam crops resulted in decreases in spending on food.

Factors associated with intrahousehold dynamics, missing markets and mental accounting

could all cause differential dietary responses across various income sources. With this in mind,

it would be prudent to test the appropriateness of nutrition demand models using aggregated

income as an explanatory variable rather than disaggregated income. Instead of looking at

9

dietary responses to changes in total income, it might be more appropriate to explore which

income sources appear to be more important to food consumption and what are the dietary

responses to changes in different income components.

III. Model and Empirical Strategy

In order to investigate the possibility of differential dietary response to different income

sources we employ two approaches. In the first approach we use simple multivariate regression

to compare nutrition-income elasticities estimated when using a model with total income as an

explanatory variable versus one with income disaggregated into different components. We then

test for whether income elasticities estimated in the disaggregated model are equal across income

sources. In a manner similar to Breunig and Dasgupta (2005), once differential dietary responses

are established, we then explore whether market failures or intrahousehold bargaining can solely

account for our results by estimating our model on specific sub-samples of our data.

In our second approach, we implement a reduced form method similar to that used by

Duflo and Udry (2004). In this approach we attempt to control for the potential endogeneity of

income sources by using a set of exogenous shock variables, which affect different income

sources differently, as regressors in a model estimating dietary behavior. We then test whether

dietary responses are equal across the exogenous variations of different income sources.

Multivariate Approach

Most prior studies the development literature examining the nutrition-income relationship

have assumed equivalent income elasticities across various income sources. A common

functional form in this literature follows the log-linear equation:

10

(1) ivtiv

C

c

cvt

cF

f

fivt

fJ

j

jvt

jivtivt VHPYN εµθγδβα ++++++= ∑∑∑

=== 111lnlnln

where

i is an index for the individual,

v indexes the village or location,

t indexes the time period,

N is some indicator of nutrition or dietary quality,

Y is income,

P is the price of food commodity j,

H is household specific characteristic f,

V is village or location specific characteristic c,

µ is unobserved individual-specific effect and

ε is the disturbance term.

However, if household diet responds differently to different income sources, the estimated

nutrition elasticities with respect to total income may be misleading.

To illustrate, say a household earns income from two different sources, Y1 and Y2.

Suppose the household uses income Y2 primarily for food purchases and income Y1 mostly for

other expenditure activities and rarely for food expenditures. Suppose further that the nutrition

elasticity with respect to Y2 is positive while that with respect to Y1 is zero. Say this household

experiences a large increase in Y1 and a very small increase in Y2. Consequently the household

experiences a large increase in total income but a very small increase in food expenditures,

resulting in an estimated nutrition elasticity with respect to total income that is close to zero.

This result masks the positive nutrition elasticity with respect to Y2. On the other hand, if the

large increase in total income was primarily due to an increase in Y2, then a larger positive total

11

income elasticity of nutrition would be estimated masking the zero nutrition elasticity with

respect to Y1. Either case could lead to mistargeted income growth programs concerned with

nutrition.

The nutrition literature has estimated nutrition-income elasticities ranging from near zero

(Behrman and Deolalikar 1990, Behrman and Deolalikar 1987, Bouis 1994, Bouis and Haddad

1992, Wolfe and Behrman 1983) to almost one (Pitt 1983, Strauss 1984). One possible

explanation for this wide range of estimates is that many of these studies are not accounting for

the possibility of differential dietary responses to changes in various income sources.

To explicitly test the assumption of equivalent nutrition elasticities across income sources

we disaggregate income by source in (1) to get the following:

(2) itiv

C

c

cvt

cF

f

fivt

fJ

j

jvt

jK

k

kivt

kivt VHPYN εµθγδβα ++++++= ∑∑∑∑

==== 1111lnlnln

where k indexes income sources and

(3) kivtivtivtivtivt YYYYY ++++= ...321 .

Using (2) we can test the null hypothesis

(4) H0: β1 = β2 = β3 = ... = βκ

ΗΑ: nm ββ ≠ for some { }Knm ,...,2,1, ∈ and nm ≠

A rejection of the null hypothesis would indicate that there exist differential nutritional responses

to different income sources and thus (1) is not an appropriate model for estimating nutrition

elasticities with respect to income.

However, this model is only adequate if the composition of income is similar among

households at different levels of wealth. There is substantial evidence that nutrition-income

elasticities vary at different levels of wealth (Sahn (1988), Strauss and Thomas 1990,

12

Subramanian and Deaton 1996). Therefore if there are systematic differences in income

composition between poor and rich households, which are not controlled for explicitly, then a

rejection of the above null hypothesis may just be picking up differences in nutrition-income

elasticities at various levels of wealth as opposed to differences due to income source. Therefore

(2) must be further modified to allow for non-linearities in the relationship between nutrition-

income elasticities and income level.

To allow income elasticities to differ over different levels of income, dummy variables

indicating the income quantile to which the household belongs are included in the model as both

intercept shifters as well as interacted with income and price variables to allow for income and

price elasticities to change with the level of income.5

(5)

This gives us the following equation:

itiv

C

c

cvt

cF

f

fivt

fJ

j

jvtl

jl

K

k

kivtl

kll

L

llivt VHPYQN εµθγδβα ++++++= ∑∑∑∑∑

===== 11111]lnln[ln

where Q is an indicator variable equal to one if the individual i belongs to income quantile l and l

= 1, 2, 3,…L. This gives the following testable hypothesis:

(6) H0: Kllll ββββ ==== ...321 for all { }Ll ,...,2,1∈

ΗΑ: nl

ml ββ ≠ for some { }Knm ,...,2,1, ∈ and nm ≠ and for some { }Ll ,...,2,1∈

Equation (5) allows for income and price elasticities to vary across different levels of

income and also controls for the possibility of differential dietary responses due to wealth

differentials as opposed to income source differentials. A rejection of the null hypotheses in

hypothesis (6) indicates that dietary responses are not equivalent across changes in different

income sources within a particular income quantile. This would indicate that a model using

5 As another way of capturing these effects, Strauss and Thomas (1990) proposed a few functional forms of log-inverse log models that seemed to work well. However these models are problematic if there are a number of observations where income is between 0 and 1. Since in this paper, income is disaggregated there are many zero observations for each income source variable. This proved to be problematic when working with the log-inverse functional forms proposed by Strauss and Thomas (1990).

13

aggregated income as an explanatory variable is less appropriate than one in which income is

disaggregated.

Reduced Form Approach

In our second approach we implement a reduced form method similar to that employed

by Duflo and Udry (2004). More precisely, we use a set of exogenous shock regressors, which

affect different income sources differently, to predict each income source separately. We then

use these sources of exogenous variation to test for differential responses of dietary diversity to

different income sources.

We assume the following function for the dietary behavior of person i in location v at

time period t:

(7) ∑∑==

+++++=B

bivti

bt

bV

v

vvivtivt SVYN

13

1210 lnln µµαααα

where N is still some indicator of nutrition or dietary quality, V is a regional dummy variable, Y

is household income and S is seasonal dummy variable.

We predict the logarithm of income from source k as a function of R exogenous shock

regressors using the following relationship:

(8) ∑ ∑∑∑∑= ====

++++++=V

vivti

B

b

bbvrrvR

r

V

v

vvR

r

rrkivt SVZVZy

1 143

112

110ln ννβββββ

Using the predicted level of each income source ( kivtyln ) estimated from (8), we use the

following relationship to predict the total income of person i in location v at time period t:

(9)

ivti

L

l

li

l

B

b

bbV

v

vvK

k

kivt

li

lkL

l

K

k

kivt

kivt

Q

SVyQyY

ωωθ

θθθθθ

+++

++++=

∑∑∑∑∑

=

=====

15

14

13

12

1110 ˆlnˆlnln

14

where liQ is a dummy variable indicating whether person i is in income tercile l and

{ }Ll ,...,2,1∈ . Combining (7) and (9) we get the following relationship:

(10)

ivti

L

l

li

l

B

b

bbV

v

vvL

l

kivt

li

klK

k

K

k

kivt

kivt

Q

SVyQyN

µµδ

δδδδδ

+++

++++=

∑∑∑∑∑

=

=====

15

14

13

12

1110 ˆlnˆlnln

In order to use (10) to test for differential effects of various income sources on dietary behavior

the following overidentifying restriction must hold:

(11) nivt

ivt

nivt

ivt

mivt

ivt

mivt

ivt

yY

yN

yY

yN

ˆlnln

ˆlnln

ˆlnln

ˆlnln

∂∂

∂∂

=

∂∂

∂∂

{ }Knm ,...,2,1, ∈∀ .

This restriction says that the exogenous regressors used to predict kivtyln only effect

ivtNln through their effect on each income source but and do not affect ivtNln directly. In other

words, (11) says that none of the exogenous shock regressors on the right-hand side of (8) also

belong on the right-hand side of (7).

If (11) is satisfied, we can then test for differential dietary responses across income

sources by testing the following hypothesis:

(12) Ho: lKKll21

22

21

12

11 ... δδδδδδ +==+=+ { }Ll ,...,2,1∈∀

HA: ln2121 δδδδ +≠+ nlmm for some { }Ll ,...,2,1∈ and for some { }Knm ,...,2,1, ∈ nm ≠

Using this method we can look at how dietary behavior responds to particular exogenous shock

variables that are related to different sources of household income. We can then test whether

dietary responses are equivalent across exogenous variations of different income sources.

15

IV. Data and Setting

The data for this paper come from a comprehensive set of panel data collected by the

USAID Global Livestock Collaborative Research Support Program (GL CRSP) project

“Improving Pastoral Risk Management on East African Rangelands” (PARIMA). Households

were surveyed in five locations in southern Ethiopia and six in northern Kenya6, all in one

livestock production and marketing region (Barrett et al. 2008). In total, 337 households are

included in the data.7 In each household the household head was surveyed along with up to two

adult, non-head household members. Because investigating intrahousehold dietary patterns is

beyond the scope of this paper, only household heads are included in this study. Surveys were

conducted in March 2000 for baseline information and then quarterly from June 2000 to June

2002, resulting in 10 quarterly observations for each household.8

The baseline survey gives information on individual and household characteristics such

as household size, sex, age and education. The repeated surveys provide information on income

earned from various sources such as trade, wages and salary, crop value and remittances. They

also report information on households’ livestock holdings, trade and production over the last

quarter.

Survey intervals were chosen

to correspond to the bimodal rainfall patterns of the study region. Further details on these data

are provided in Barrett et al. (2008).

Households in the area are typically male-headed. Female household heads are generally

poorer and are often widowed or divorced. 31% of the household heads in the sample are

6 The six study locations in Kenya were Dirib Gumbo, Kargi, Logologo, Ng’ambo, North Horr, and Sugata Marmar. In Ethiopia the study sites were Dida Hara, Dillo, Finchawa, Qorate, and Wachille. 7 Due to some issues of attrition, interruption and missing observations of particular variables for certain individuals or communities the number of observations per survey period ranges from 186 to 303. 8 The baseline survey in March 2000 did not provide dietary information or information on income over the quarter. Therefore this study included only 9 quarterly observations from June 2000 to June 2002 and information from the March 2000 survey was only used for baseline information on the household.

16

female. Of those, only eight percent of the female heads are married and 49% of them are in the

bottom income tercile. Table 1 provides some descriptive statistics on the study population.

While a number of households are involved in activities such as trade, wage labor, or, to

a very limited extend, crop cultivation, primary economic activities for most households in the

area are centered on livestock. Pastoralism allows households to be opportunistic in the arid and

semi-arid lands of the study region where uncertain rainfall makes primary production risky

(Coppock, 1994). Only five households in the data do not own livestock over the study period.

Mean annual rainfall in the study area is just around 400mm, making crop cultivation difficult.

Therefore, pastoralist households rely chiefly on livestock for income. Average household herd

size in the data is 13.31 tropical livestock units (TLU).9

In order to estimate equations (5), (9) and (10) the sample is broken up into three income

terciles based on households’ mean intertemporal income. Table 2 describes income and its

composition for the lower, middle, and upper terciles. On the whole, there are not substantial

differences in the composition of household income across income terciles. The most drastic

difference across income terciles is in the share of remittances in total household income. Net

remittances make, on average, 40% of total household income in the lower tercile but only 24%

and 18% in the middle and upper terciles, respectively.

Production of livestock products makes

up on average roughly 43% of total household income earned in the study population over the

study period. Livestock trade is 13%, wages and salary is 8%, net remittances is 28%, non-farm

non-livestock trade and business make up 6%, and crop value comprises only 3% of total

household income earned in the study area.

9 TLU is a standard measure for aggregating herd size across various species. 1 cattle = 1 TLU, 1 camel = 0.7 TLU, 1 sheep=0.1 and 1 goat = 0.11 TLU.

17

The repeated surveys also ask individuals to recall their own food and beverage

consumption of the past 24 hours. This includes food and beverages consumed both in and away

from the home. This information was used to calculate the dietary diversity of each individual in

each survey period. Dietary diversity is defined here as the number of unique food and drink

items consumed over the 24-hour recall period. Mean (median) dietary diversity in the sample

population is 3.24 (3.00). Maize, tea and especially milk are by far the most consumed items in

the study area.

V. Econometric Specification

In order to test for differential dietary responses to changes in different income sources,

we use dietary diversity as a measure of individual-level dietary quality. Dietary diversity has

been proposed and widely used as an alternative indicator of dietary quality and food security

(Arimond and Ruel, 2004, Hatloy, et al., 1998, Hoddinott and Yohannes, 2002, Ogle, et al.,

2001, Onyango, et al., 1998, Ruel, 2002, Ruel, 2003, Torheim, et al., 2004). A diverse diet has

been long associated with enhanced nutritional well-being. Indeed, a number of studies have

shown dietary diversity to be highly correlated with dietary quality and nutrient adequacy

(Arimond and Ruel, 2004, Hatloy, et al., 1998, Hoddinott and Yohannes, 2002, Ogle, et al.,

2001, Onyango, et al., 1998, Torheim, et al., 2004). Studies have also shown a consistent and

positive association between child growth and dietary diversity (Arimond and Ruel, 2004,

Onyango, et al., 1998). Dietary diversity is also unlikely to suffer from some of the same

measurement errors and bias problems that prove problematic in many more conventional

nutritional indicators, such as food expenditures or estimated nutrient intake volumes (Hoddinott

18

and Yohannes, 2002). 10

Dietary diversity is usually defined as either the number of unique food and drink items

consumed or the number of unique food groups consumed over a recall period. We define

dietary diversity here as the number of unique food and drink items consumed over the 24 hour

recall period. For example, if an individual consumes three helpings of maize, one helping of

beans and two servings of milk, his dietary diversity count would be three.

Consequently dietary diversity is used as the dependent variable in

equations (5) and (10).

While many previous studies have used nutrient intake or food expenditures to indicate

nutrition or dietary quality, such information is unfortunately unavailable in these data. Detailed

nutrient intake data were not taken in these surveys. While the PARIMA surveys do not have

good individual nutrient intake or expenditure information, they do provide good data on

individual-level dietary diversity.

To estimate equations (5), (8), (9) and (10), we disaggregate income into six different

sources: income earned from non-farm and non-livestock trade and business such as from crafts,

firewood and water; income earned from wages and salary; income earned from livestock trade;

the value of livestock products produced; the value of crops harvested; and net remittances,

which include the value of cash and in-kind gifts as well as food aid. 11

Control variables for equation (5) are as follows. village level food prices included in the

model are those for maize, tea and milk, which are by far the most important food staples in the

Although there may be

some exceptions, generally, income earned from the production of livestock products and non-

farm, non-livestock trade and business is typically controlled by women. Conversely, men

generally control income earned from livestock trade and wages and salary.

10 See Strauss and Thomas (1995) and Hoddinott and Yohannes (2002) for a discussion of these problems. 11 For further details on how each income source was constructed see Barrett et al. (2008).

19

study region. Age, education, gender and household size are included as controls for individual-

and household-level characteristics. We include four seasonal dummy variables for the long-

rain, long-dry, short-rain and short-dry seasons. As location-specific controls we also included

village-level average quarterly rainfall and regional dummy variables for 10 of the 11 study

locations.

To estimate equation (8), we use six exogenous variables: average rainfall in the current

quarter; average rainfall over the previous quarter; whether or not a household member

experienced an illness in the last quarter that prevented him or her from working; and

standardized Normalized Differential Vegetation Index (NDVI) cumulative over the current

quarter, over the last two quarters, and over the last 3 quarters.12

NDVI indicates the amount of vegetative cover and thus forage availability based on

photosynthetic activity observed from satellites (Chantarat, 2009). NDVI has been shown to be a

key driver in herd dynamics and can be used to compare current vegetative conditions with

previous periods to detect abnormal conditions (Chantarat, 2009).

We standardize dekadal (taken every ten days) NDVI for each study location with NDVI

data taken every ten days from 1981-2008. Thus we get dekadal standardized NDVI (zndvivdn)

for location v in dekad d in year n such that:

( )( )vdnd

vdndvdnvdn NDVI

NDVIENDVIzndvi

σ−

=

where ( )vdnd NDVIE and ( )vdnd NDVIσ are the mean and standard deviation of NDVI values for

location v in dekad d taken over the period 1981-2008. We then generate three cumulative zndvi

variables for each quarterly observation such that dekadal zndvi measures are cumulative over

12 Since all the exogenous variables except illness were measured at the village-level, illness is the only exogenous variable that was interacted with location dummies in our specification of equation (8).

20

the previous quarter, the previous two quarters, and the previous three quarters. A positive

cumulative zndvi measure indicates a better than normal period while a negative cumulative

zndvi measure indicates a worse than normal period. These three cumulative zndvi measures are

likely to affect income sources differently. For example herd mortality will likely respond

slower to bad vegetative conditions than say, milk production. Since in this area men tend to

earn the income received from livestock trade while women earn the proceeds from milk sales,

these exogenous shocks can effectively identify different income sources, including those that

reflect gender differences in livelihood patterns.

VI. Results from Multivariate Approach

For the purposes of this paper we will focus just on estimated income elasticities. Full

regression results are presented in the Appendix as Tables A1 and A2. Table 3 reports income

elasticities estimated from equations (1) and (5) which use aggregated and disaggregated income,

respectively, as explanatory variables. All estimated income elasticities are rather small in

magnitude. Income elasticity estimates using the aggregated income model are 0.04 for the

lower and middle tercile and 0.03 for the upper tercile. All are statistically significant at the one

percent level.

Turning now to estimates from the disaggregated income model, although small in

magnitude, the estimated source-specific income elasticities appear statistically different from

each other and from those estimated for aggregate income. Income from wages and salary and

net remittances appear to have an impact on dietary diversity for all income terciles with

estimated income elasticities all significant at the one or five percent levels. The income

elasticities specific to wages and salary estimated for the lower tercile is 0.04 and is 0.02 for the

21

middle and upper tercile. Estimated income elasticities for remittances are 0.03, 0.04 and 0.02

for the lower, middle and upper tercile, respectively.

Income from trade and business has a statistically significant impact on dietary diversity

for only the lower and upper tercile with estimated income elasticities of 0.06 and 0.02,

respectively, both significant at the one percent level. Income due to crops has a statistically

significant impact on dietary diversity only for the middle tercile with an estimated income

elasticity of 0.02. Income specific to livestock trade only has a statistically significant impact on

the dietary diversity of the lower tercile with an estimated income elasticity of 0.02. Income

specific to livestock products does not have a statistically significant impact on dietary diversity

in any of the income terciles.

Thus there do seem to be differences in the relative magnitudes and significance of

estimated income elasticities specific to the various income sources. However, we must

statistically test for differences in dietary diversity response across income sources, particularly

since the estimated income elasticities are very low. A Wald test on hypothesis (6) confirms this

impression and rejects the equality of income elasticities across sources and income terciles at

the one percent level with a test statistic of ( ) 45.44152 =χ .

Since income from livestock trade and wages and salary is typically associated with men

and income specific to livestock products and non-livestock trade and business is typically

associated with women, we can roughly examine whether the differences in elasticity estimates

is due to differences in the income sources themselves or due to the gender-specific preferences

of those controlling the different sources of income. A Wald test rejects the equality across

terciles of estimated income elasticities specific to the generally female controlled income

sources of livestock products and trade and business at the one percent level with a test statistic

22

of ( ) 39.1332 =χ . The test also rejects at the one percent level across all income terciles the

equality of estimated income elasticities specific to the typically male controlled income sources

of livestock trade and wages and salary with a test statistic of ( ) 87.1132 =χ . This is not a

perfect test since the gender associations of each income source are not perfect. However, it

does provide evidence that cultural differences in men’s and women’s control over different

income sources is probably not the sole driver behind the differential responses of dietary

diversity across income sources. We will test this more formally in the next sub-section.

The next step then is to investigate more fully some possible explanations behind the

differential impacts of different income sources on dietary diversity. As noted earlier, three

possible explanations for this result are discussed in the literature: intrahousehold dynamics of

resource control and allocation; missing markets for certain home produced commodities; and

mental accounting. There is no way to explicitly test for mental accounting as the cause of

differential responses. However, missing markets and intrahousehold effects can be directly

tested as explanations. If neither can fully account for the differential responses of dietary

diversity to various income sources, then this is evidence in favor of mental accounting playing

some role in our result.

Intrahousehold Bargaining as Possible Explanation for Differential Responses

Many pastoralist households in the study region practice polygamy. In addition,

households often include extended family members such as parents, siblings of the household

head or his spouse(s), and adult children. Therefore intrahousehold processes of bargaining and

resource control could provide a reasonable explanation for the differential responses of dietary

diversity across income sources. In such households, preferences surely vary among household

23

members. So if different income sources were typically associated with different household

members, it would result in the differential dietary diversity responses we find.

In order to test for intrahousehold effects as the cause for differential responses, we adopt

a method similar to that implemented by Breunig and Dasgupta (2005). In their study of the

food stamp cash-out puzzle Breunig and Dasgupta (2005) restrict their analysis to single-adult

households in order to test whether the effects of intrahousehold bargaining cause cash transfers

to impact household consumption differently than food stamp transfers. Since the differential

impact of the two income sources on consumption was established only for multiple-adult

households and not single-adult households, they conclude that intrahousehold bargaining is

behind this result.

We likewise restrict our data sample to households where the household head is

unmarried. Since many households also house extended family members, the sample was further

restricted to households in which the household head is single and the oldest non-head household

member was no older than 10 years less than the age of the head. In order to account for gender

differences in preferences and resource control we also include only female-headed households

in the single adult sub-sample.13 By restricting the sub-sample to only households with one

adult, this necessarily excludes any households that are affected by processes of intrahousehold

bargaining, since only one member in the household has any significant bargaining power.14

Summary statistics on this sub-sample are provided in Table 4. Restricting the sample

resulted in a much smaller data set. This single-adult sub-sample has only 567 of the original

2495 observations in the full sample. Therefore to conserve on degrees of freedom we only

13 By excluding male-headed households in the single-adult sub-sample we only exclude two households. Including these households has no effect on our results but we nonetheless leave them out for clarity. 14 This of course assumes that children have no substantial or systematic bargaining power over resource allocation within the household. While we cannot test this assumption, we feel safe in making it.

24

include controls for region, season and income tercile.15

Table 5 reports income elasticities estimated from equations (1) and (5) using the single-

adult sub-sample. Using the aggregated income model, the estimated total income elasticity of

dietary diversity is only statistically significant for the lower tercile with a point estimate of 0.04.

Looking at estimated income elasticities from the disaggregated income model, source-specific

income elasticities again appear to differ, statistically, across income sources.

The female household heads in the

study region are often widowed or divorced and are typically poor. Approximately half of the

households in this sub-sample are in the lower income tercile.

The pattern of results observed from these estimates is largely similar to those observed

using the full sample with a few minor differences. Again there appears to be a difference in the

relative magnitudes and significance of estimated income elasticities across income sources. In

fact the estimated income elasticity specific to income from livestock trade in the upper tercile is

statistically significant and negative. If mental accounting does play a role in the behavior of

these households, then we might see a negative estimated income elasticity such as this if

generating income from livestock trade is not only unimportant to dietary diversity but also

substitutes resources away from earning income from sources more important to dietary

diversity.

A Wald test again rejects that estimated income elasticities are equivalent across income

sources at the one percent level with a test statistic of ( ) 99.92152 =χ . Thus even after

controlling for the possibility of intrahousehold bargaining, we still observe differential dietary

diversity responses to different income sources. Since all household heads, and thus all adult

15 Including these controls does not significantly change our results or conclusions.

25

household members, in this sample are female, we can conclude that neither gender differences

nor intrahousehold bargaining is solely driving these results.

Missing Markets as Possible Explanation for Differential Responses

Almost all households in the study area own livestock and thus produce milk. However,

income earned from livestock products, a large part of which is milk production, appears to be

less important to dietary diversity than other income sources. The estimated income elasticities

specific to livestock products are not statistically significant in any of the income terciles using

the full sample or the single-adult sub-sample. Given the prominence of livestock products as an

income source in this population (livestock products make up on average 36%, 49% and 45% of

household income in the lower, middle and upper terciles, respectively) one might reasonably

expect it to play a larger role in influencing dietary diversity.

A possible reason behind this result is that many pastoralist households might not

participate in formal markets for livestock products, rendering those goods non-tradable. If the

transaction costs associated with market-based exchange induce the household to be an autarkic

milk producer and consumer, any increased income from production of that non-tradable good

necessarily expands only the quantity of milk that household consumes, not the variety of food it

consumes. Therefore production of milk and other livestock products may do little to enhance

dietary diversity.

In order to test the possibility that household-specific non-tradable home-produced goods

causes the differential dietary diversity responses observed in the full sample, we use a similar

approach as we did in the previous section to control for intrahousehold effects. We restrict the

data sample to observations where households recorded positive milk sales, as opposed to just

26

positive milk production. Those who sell milk necessarily treat milk as tradable. By focusing

only on these observations, we exclude any household-period observations for which milk might

have been non-tradable. Further, positive milk sales indicate that households participated in

more formal market settings in settlements where they were not only able to participate in the

market for milk but would also have the opportunity to participate in markets for other goods as

well.

As with the single adult sub-sample, restricting our sample resulted in a much smaller

data subset. The milk market sub-sample has only 370 of the full sample’s 2495 observations.

Therefore, again, to conserve degrees of freedom we include extra controls only for region,

season and income tercile when we estimate equations (1) and (5) using this sub-sample.

Descriptive statistics on the milk market sub-sample can be found in Table 6. Income

elasticities estimated from the aggregated income and disaggregated income models using this

sub-sample can be found in Table 7. Here we do see more of a difference in the general pattern

of results from that when using the full sample. This does lead one to believe that missing

markets play a role in some of the differential effects we observe. While we do see a difference

in the general pattern of results, estimated source-specific income elasticities still differ

statistically from each other and from those estimated with respect to aggregate income.

Additionally, even though livestock products is a very important source of income in the sub-

sample, the estimated income elasticities specific to livestock products are still not statistically

significant in any of the income terciles. Thus even though the sample has been restricted such

that milk is necessarily treated as tradable, livestock product income still has little to no effect on

dietary diversity.

27

A Wald test again rejects equivalent income elasticities across income sources and

terciles at the one percent level with a test statistic of ( ) 77.74152 =χ . Again, in order to examine

if these differential effects are driven by differences in male and female control of different

income sources, we test whether estimated income elasticities specific to trade and business and

livestock products are statistically equal and whether those specific to wages and salary and

livestock trade are statistically equal. A Wald test fails to reject that income elasticities

estimated for income from trade and business and livestock products are equal. Thus, in this

sub-sample, the two income sources mostly associated with women do not appear to be treated

differently with regards to dietary diversity (both of these estimated income elasticities are not

statistically different from zero in any tercile). A Wald test, however, rejects at the ten percent

level the equality of estimated income elasticities specific to income from wages and salary and

livestock trade. Thus these two typically male-associated income sources still appear to have

different impacts on dietary diversity.

While missing markets may play some part in explaining the differential dietary diversity

responses we observe in the full sample, they do not appear to be able to solely explain these

results. Further, when looking at the effects of more gender-specific income sources while

controlling for the effects of missing markets, there still appears to be a difference in how dietary

diversity responds to the more male-controlled income sources of livestock trade and wages and

salary. While this test is imperfect, it can lead one to believe that there is a reason beyond (and

possibly in addition to) gender differences and missing markets that contributes the existence of

differential responses of dietary diversity across income sources. While we cannot test for it, we

believe that mental accounting is a sensible candidate explanation.

28

VII. Results from Reduced Form Approach

While we attempt to control for particular household characteristics (intrahousehold

bargaining and household-specific missing markets) that might be driving the differential dietary

diversity responses we observe, one still might be concerned about the possibility that income

sources are endogenous to certain household characteristics that are not accounted for but could

nonetheless be driving our results. We therefore also estimated dietary diversity demand as a

reduced form using exogenous variables affecting various income sources as regressors.

Full regression results from (8) are reported in the Appendix in Table A3. In each of the

seven regressions the exogenous regressors are jointly statistically significant. The estimated

coefficients between regressions are also significantly different from each other in each pairwise

combination. Thus the various income sources are each affected differently by different

realizations of the exogenous variables. We can thus test whether income sources are treated

similarly with regards to dietary diversity by examining whether the exogenous variables

affecting the different income sources have differing effects on dietary diversity above and

beyond their effect on total income.

Table 8 reports coefficient estimates on predicted income sources from equations (9) and

(10). Equations (9) and (10) estimate the predicted source-specific income elasticities of total

income and dietary diversity, respectively, where each income source is predicted by the

exogenous variables. A non-linear Wald test fails to reject the overidentification restriction

(hypothesis (11)) with a test statistic ( ) 46.10152 =χ . Thus the coefficients in the dietary

diversity regression are all of statistically equal proportion to the corresponding coefficients in

the total income regression, meaning that the overidentification restriction is satisfied.

29

Looking at the dietary diversity regression, the estimated source-specific income

elasticities again appear to differ from each other. Predicted income from livestock trade and

crop value appear to have a relatively stronger positive effect on dietary diversity while income

from wages and salary appears to have a negative effect on dietary diversity. Predicted income

from livestock products and remittances has no statistically significant effect on dietary diversity.

Predicted income from trade and business has a statistically significant effect only on the dietary

diversity of households in the lower tercile. A Wald test rejects the equality of estimated income

elasticities across all income sources and terciles at the one percent level.

Examining whether there still exist differential effects within income sources specific to

each gender, we again test the equivalence of estimated income elasticities specific to just

female- and just-male associated income sources. A Wald test fails to reject that the female

associated income elasticities specific to trade and business and livestock trade are equal. Thus

there appears to be no difference in the impact of these two typically female associated income

sources on dietary diversity. A Wald test however rejects the equivalence of the two typically

male-associated income elasticities specific to livestock trade and wages and salary at the one

percent level. Therefore the two generally male-associated income sources appear to affect

dietary diversity differently and thus the differential responses we observe cannot be entirely

explained by gender differences in resource control.

VIII. Conclusion

We find evidence of differential dietary diversity responses to various income sources.

These differential impacts across income sources persist after controlling separately for the

effects of intrahousehold bargaining and household-specific missing markets. While each of

30

these explanations may play a role in causing the differential effects we observe, neither can

solely account for our results. We also observe different dietary diversity responses across

income sources when looking at exogenous variations of each income source in a reduced form.

Further, in all of our specifications, save that using a single-gender, single-adult sub-sample, we

reject that two typically male-associated income sources, livestock trade and wages and salary,

equally impact dietary diversity. Thus neither can gender differences fully account for our

results. We therefore conclude that mental accounting may also play a significant role in the

behavior of the households we study.

For the most part, research on the nutrition-income relationship in developing countries

has investigated the dietary impacts of changes in total household income. However, where

income comes from may change how it is used in the household. Consequently, it may be more

accurate to examine the impact of different sources of income on dietary behavior rather than

merely aggregate income. If income source matters to how households respond to changes in

income, then this has important implications for how the relationship between income and diet is

assessed. Income generating programs concerned with the food intake of poor households may

be ineffective, or even counter productive, if they are not targeting appropriate income sources.

Recognizing and better understanding the consumption behavior of poor households as it relates

to various income sources could substantially improve policy targeting and development efforts

on the whole. Treating all income equally may lead to inadequate assessments of income-

consumption relationships.

31

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35

Table 1: Full Sample Summary Statistics N=2495

Number of Households=319

Proportion of Total Income

Mean Standard Deviation

Min Max

Total Income 1.00 131.12 255.26 0.00 7402.22

Trade and Business 0.06 8.16 56.80 0.00 1652.22

Wages and Salary 0.08 18.46 73.59 0.00 763.16

Livestock Trade 0.13 19.94 101.54 0.00 4033.66

Livestock Products 0.43 60.43 151.64 0.00 5551.66

Crop Value 0.03 5.70 45.87 0.00 1512.62

Remittances 0.28 18.43 59.54 0.00 1896.96

Herd Size (TLU) 13.31 24.44 0.00 484.89

Dietary Diversity 3.24 1.55 0.00 8.00

Head is Male 0.69 0.46 0.00 1.00

Head is Married 0.68 0.47 0.00 1.00

Proportion which attended

Adult/Literacy School 0.06 0.24 0.00 1.00

Primary School 0.05 0.22 0.00 1.00

Secondary School 0.07 0.25 0.00 1.00

36

Table 2: Full Sample Summary Statistics by Income Tercile Number of

households % of

Household Income

Mean Standard Deviation

Min Max

Lower Tercile 107 Total Income 40.41 41.21 0.00 379.49 Trade and Business

0.06 2.07 8.14 0.00 113.45

Wages and Salary

0.04 1.79 11.16 0.00 228.31

Livestock Trade 0.11 7.14 20.85 0.00 233.22 Livestock Products

0.36 14.82 24.40 0.00 248.45

Crop Value 0.03 1.61 9.96 0.00 139.99 Remittances 0.40 12.98 22.57 0.00 379.49 Middle Tercile 106 Total Income 1.00 96.34 91.71 0.00 614.80 Trade and Business

0.06 5.14 17.70 0.00 322.40

Wages and Salary

0.04 4.14 24.41 0.00 479.96

Livestock Trade 0.14 17.60 38.67 0.00 381.58 Livestock Products

0.49 50.78 68.99 0.00 487.09

Crop Value 0.03 5.12 31.06 0.00 342.77 Remittances 0.24 13.56 18.54 0.00 191.30 Upper Tercile 106 Total Income 1.00 281.03 417.37 0.00 7402.22 Trade and Business

0.06 19.04 101.33 0.00 1652.22

Wages and Salary

0.15 55.25 124.50 0.00 763.16

Livestock Trade 0.13 38.12 178.87 0.00 4033.66 Livestock Products

0.45 126.64 253.63 0.00 5551.66

Crop Value 0.02 11.30 76.19 0.00 1512.62 Remittances 0.18 30.68 103.60 0.00 1896.96

37

Table 3: Full Sample Elasticity Estimates N=2495

Groups=319 Lower Middle Upper

Elasticity Standard

Error Elasticity Standard

Error Elasticity Standard

Error

Disaggregated Income Model

Trade & Business 0.06*** 0.01 0.01 0.01 0.02*** 0.01

Wages & Salary 0.04*** 0.01 0.02** 0.01 0.02*** 0.01

Livestock Trade 0.02*** 0.01 0.001 0.01 -0.001 0.01

Livestock Products 0.01 0.01 0.01 0.01 0.004 0.01

Crop Value -0.01 0.02 0.02** 0.01 -0.001 0.01

Remittances 0.03*** 0.01 0.04*** 0.01 0.02*** 0.01

Aggregated Income Model

Aggregated Income 0.04*** 0.01 0.04*** 0.01 0.03*** 0.01 ***, **, * significant at the one percent, five percent and ten percent levels respectively

38

Table 4: Single Adult Sub-Sample Summary Statistics Number of

Households % of

Household Income

Mean Standard Deviation

Min Max

Lower Tercile 34 Total Income 1.00 40.35 43.27 0.00 268.28 Trade and Business

0.06 2.47 8.37 0.00 73.04

Wages and Salary 0.05 2.88 18.45 0.00 228.31 Livestock Trade 0.09 7.35 24.78 0.00 233.22 Livestock Products

0.34 13.21 21.98 0.00 142.73

Crop Value 0.02 1.23 7.80 0.00 76.89 Remittances 0.44 13.22 18.26 0.00 167.54 Middle Tercile 23 Total Income 1.00 87.78 95.76 0.00 498.39 Trade and Business

0.05 2.79 6.56 0.00 50.84

Wages and Salary 0.03 4.62 36.06 0.00 479.96 Livestock Trade 0.13 16.39 42.80 0.00 381.58 Livestock Products

0.48 46.69 69.52 0.00 397.69

Crop Value 0.05 7.19 37.83 0.00 318.11 Remittances 0.26 10.10 13.23 0.00 126.46 Upper Tercile 15 Total Income 1.00 278.18 194.57 3.81 941.22 Trade and Business

0.12 27.69 85.34 0.00 497.57

Wages and Salary 0.38 133.32 163.10 0.00 576.63 Livestock Trade 0.06 14.81 38.11 0.00 247.50 Livestock Products

0.23 58.83 83.45 0.00 417.50

Crop Value 0.01 2.68 26.04 0.00 261.68 Remittances 0.21 40.86 75.83 0.00 612.37

39

Table 5: Single Adult Sub-Sample Elasticity Estimates N= 567

Groups= 72 Lower Middle Upper

Elasticity Standard

Error Elasticity Standard

Error Elasticity Standard

Error

Disaggregated Income Model

Trade & Business 0.067** 0.028 0.023* 0.013 0.032* 0.017

Wages & Salary 0.065*** 0.017 0.000 0.020 0.030*** 0.012

Livestock Trade -0.004 0.011 0.004 0.012 -0.039*** 0.016

Livestock Products 0.014 0.010 -0.005 0.014 -0.006 0.019

Crop Value 0.026 0.038 0.019 0.013 0.041*** 0.017

Remittances 0.025** 0.013 0.030* 0.018 0.018 0.012

Aggregated Income Model

Aggregated Income 0.040*** 0.015 0.024 0.024 0.034 0.028 ***, **, * significant at the one percent, five percent and ten percent levels respectively

40

Table 6: Milk Market Sub-Sample Summary Statistics Number of

Households % of

Household Income

Mean Standard Deviation

Min Max

Lower Tercile 40 Total Income 1.00 47.55 34.67 0.00 181.97 Trade and Business

0.02 0.73 3.06 0.00 17.57

Wages and Salary 0.00 0.07 0.54 0.00 4.81 Livestock Trade 0.10 7.07 15.78 0.00 85.09 Livestock Products

0.63 29.43 23.86 0.00 117.21

Crop Value 0.00 0.13 1.25 0.00 11.64 Remittances 0.25 10.10 12.46 0.00 64.76 Middle Tercile 45 Total Income 1.00 127.39 91.60 10.35 614.80 Trade and Business

0.06 7.72 13.19 0.00 68.07

Wages and Salary 0.01 2.17 9.42 0.00 72.55 Livestock Trade 0.14 20.14 38.26 0.00 220.94 Livestock Products

0.59 75.44 71.57 0.00 440.70

Crop Value 0.04 5.65 23.88 0.00 225.12 Remittances 0.15 16.28 22.26 0.00 121.58 Upper Tercile 53 Total Income 1.00 282.51 218.71 5.85 1673.54 Trade and Business

0.11 39.97 159.39 0.00 1652.22

Wages and Salary 0.04 12.30 53.75 0.00 381.28 Livestock Trade 0.11 29.58 51.99 0.00 251.16 Livestock Products

0.58 149.87 120.01 0.00 745.35

Crop Value 0.05 24.63 84.74 0.00 500.95 Remittances 0.11 26.15 88.11 0.00 775.98

41

Table 7: Milk Market Sub-Sample Elasticity Estimates N= 370

Groups= 138 Lower Middle Upper

Elasticity Standard

Error Elasticity Standard

Error Elasticity Standard

Error

Disaggregated Income Model

Trade & Business -0.003 0.025 0.02 0.019 0.02 0.016

Wages & Salary -0.10 0.088 -0.05** 0.021 0.02 0.017

Livestock Trade 0.02* 0.014 0.03* 0.015 0.02 0.013

Livestock Products -0.002 0.019 -0.01 0.019 0.02 0.025

Crop Value -0.10* 0.054 -0.01 0.015 -0.0002 0.015

Remittances -0.01 0.016 0.002 0.017 0.04 0.023

Aggregated Income Model

Aggregated Income 0.007 0.024 -0.001 0.026 0.096*** 0.036 ***, **, * significant at the one percent, five percent and ten percent levels respectively

42

Table 8: Reduced Form Regressions Total Income Regression Dietary Diversity Regression

N 2348 2348

Lower Middle Upper Lower Middle Upper Predicted Trade &

Business 0.076 -0.039 0.059 0.129* 0.037 -0.063 Predicted Wages & Salary

-0.141 0.106 0.327* -0.167*** -0.109** -0.022 Predicted Livestock Trade

0.156 0.285* 0.367** 0.133*** 0.063 0.124*** Predicted Livestock

Products 0.255* 0.537*** 0.480*** 0.050 0.022 -0.016 Predicted Crop Value

0.504** 0.449** 0.548*** 0.149*** 0.174*** 0.087* Predicted Remittances

0.271* 0.179 0.005 0.021 -0.017 -0.026 ***, **, * significant at the one percent, five percent and ten percent levels respectively

43

APPENDIX Table A1: Full Regression Results from Disaggregated Income Model

Full Sample Milk Sale Sub-Sample

Single Adult Sub-Sample

N 2495 370 567 Number of Individuals 319 138 72 ln(Trade & Business) 0.060*** -0.003 0.067**

ln(Trade & Business) x Middle Tercile

-0.050*** 0.024 -0.044

ln(Trade & Business) x Upper Tercile

-0.041*** 0.020 -0.035

ln(Wages & Salary) 0.042*** -0.100 0.065*** ln(Wages & Salary) x Middle

Tercile -0.020 0.051 -0.065***

ln(Wages & Salary) x Upper Tercile

-0.025** 0.115 -0.035

ln(Livestock Trade) 0.020*** 0.024* -0.004 ln(Livestock Trade) x Middle

Tercile -0.019** 0.002 0.008

ln(Livestock Trade) x Upper Tercile

-0.021** -0.008 -0.035*

ln(Livestock Products) 0.006 -0.002 0.014 ln(Livestock Products) x Middle

Tercile 0.002 -0.004 -0.019

ln(Livestock Products) x Upper Tercile

-0.002 0.021 -0.020

ln(Crop Value) -0.012 -0.095* 0.026 ln(Crop Value) x Middle Tercile 0.033* 0.088 -0.008 ln(Crop Value) x Upper Tercile 0.011 0.095* 0.015

ln(Remittances) 0.028*** -0.012 0.025* ln(Remittances) x Middle Tercile 0.010 0.014 0.005 ln(Remittances) x Upper Tercile -0.006 0.048 -0.007

ln(Maize Price) -0.021 ln(Tea Price) -0.116***

ln(Milk Price) 0.012 ln(TLU) 0.030***

Adult Education 0.060** Primary School 0.031

Secondary School 0.146*** Male -0.033** Age 0.000

Household Size 0.000 Average Rainfall -0.000

Middle Tercile 0.008 -0.059 0.149** Upper Tercile 0.049 -0.194 0.135

Constant 1.291*** 1.585*** 1.433*** R2 within 0.0411 0.0795 0.0657

between 0.8502 0.6313 0.8840 overall 0.5307 0.5054 0.5747

***, ** and * significant at the one, five and ten percent level, respectively

44

Table A2: Full Regression Results from Aggregated Income Model Full Sample Milk Sales Sub-

Sample Single Adult Sub-

Sample N 2633 407 580

Number of Groups 319 145 72 ln(Total Income) 0.044*** 0.007 0.040***

ln(Total Income) x Middle Tercile

-0.004 -0.008 -0.016

ln(Total Income) x Upper Tercile -0.016 0.090** -0.006 ln(maize price) 0.020

ln(Tea Price) -0.048 ln(Milk Price) -0.005

ln(TLU) 0.018* Adult Education 0.072*** Primary School 0.046*

Secondary School 0.174*** Male -0.036** Age 0.000

Household Size 0.001 Average Rainfall -0.000

Middle Tercile 0.003 0.004 0.103 Upper Tercile 0.038 -0.437** 0.032

Constant 1.388*** 1.498*** 1.455*** R2 within 0.0310 0.0384 0.0429

between 0.8516 0.6432 0.8473 overall 0.5204 0.5030 0.5478

***, ** and * significant at the one, five and ten percent level, respectively

45

Table A3: First Stage Regressions Predicting Source-Specific Income Dependent Variable Total

Income Trade & Business

Wages & Salary

Livestock Trade

Livestock Products

Crop Value

Remittances

Current Rain 0.004*** 0.000 0.002 -0.005** 0.005** 0.006*** 0.002 Lagged Rain -0.000 0.002 -0.002 -0.006*** -0.005* 0.007*** 0.002

1 Quarter Culm ZNDVI

-0.028*** -0.003 -0.002 0.013 -0.045*** -0.035*** 0.015*

2 Quarter Culm ZNDVI

0.008 0.011* 0.014* -0.003 0.007 0.017*** 0.009

3 Quarter Culm ZNDVI

0.014*** -0.002 -0.004 0.002 0.022*** 0.004 -0.004

Illness 0.222 0.090 0.020 0.383 0.259 -0.219 -0.012 Region 1 0.979*** -0.075 -0.178 0.811*** 2.595*** -0.995*** 0.239* Region 2 1.056*** 0.295 1.267** 0.249 0.990*** -1.011*** 0.975*** Region 3 0.179 0.678** 0.931* 0.553** 1.095** -1.240*** -1.049*** Region 4 0.545** 0.793*** -0.195 0.893*** 1.514*** -0.926*** 0.349** Region 5 0.183 1.299*** 0.009 1.079*** 0.114 -1.331*** -0.306 Region 6 -0.295 -0.230 -0.678** 0.405* 0.508 -0.098 -0.676*** Region 7 -0.436* -0.384** -0.700*** 0.257 0.481 -1.048*** -0.086 Region 8 -0.246 -0.259 -0.558* 0.731*** 1.010** -0.634*** -1.821*** Region 9 -0.054 -0.567*** -0.744*** 0.349* 1.733*** -1.032*** -1.473***

Region 10 -0.581*** -0.405** -0.736*** 0.518** 0.727** -0.965*** -1.106*** Illness interacted with

Region 1 -0.292 -0.030 0.410 -0.720 -0.291 0.290 -0.123 Region 2 -0.042 -0.015 0.370 -0.100 -0.316 0.303 -0.292 Region 3 -0.014 -0.333 -0.290 -0.227 -0.642 0.582 0.846** Region 4 -0.009 0.087 -0.042 -0.540 -0.163 0.221 0.248 Region 5 0.233 0.452 -0.308 -0.185 0.580 0.231 0.505 Region 6 -0.433 -0.294 0.052 -0.379 -0.390 0.473 0.191 Region 7 0.346 0.131 0.140 0.019 0.078 0.215 0.831** Region 8 0.265 -0.068 0.008 0.266 -0.050 0.339 0.243 Region 9 0.353 -0.079 -0.003 0.919 -0.036 0.125 1.329**

Region 10 -0.219 0.052 0.095 -0.137 -0.384 0.144 -0.236 Seasonal controls

June 0.006 -0.065 -0.133 -0.095 0.143 0.316*** -0.252** September -0.036 -0.026 -0.013 0.180* -0.690*** 0.208*** 0.631*** December -0.110 -0.108* -0.175** 0.104 -0.333*** -0.061 0.376***

Constant 3.862*** 0.607*** 0.847*** 0.818*** 1.964*** 0.564*** 1.982*** R2-between 0.299 0.311 0.257 0.111 0.291 0.595 0.730

R2-within 0.035 0.022 0.022 0.023 0.079 0.063 0.117 R2-overall 0.166 0.221 0.187 0.051 0.174 0.187 0.374

***, ** and * significant at the one, five and ten percent level, respectively


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