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African J. Economic and Sustainable Development, Vol. 1, No. 1, 2012 27
Copyright 2012 Inderscience Enterprises Ltd.
Exploring sectoral elasticity vis--vis per workerincome with a focus to agriculture: a study ofSub-Saharan Africa
Ronald Ravinesh Kumar*
School of Government, Development and International Affairs,
Faculty of Business and Economics,
FBE Green House, Laucala Campus,
University of the South Pacific,
Suva, Fiji
E-mail: [email protected]*Corresponding author
Radika Kumar
Ministry of Foreign Affairs and International Cooperation,
Economics Division, Level 2, South Wing BLV Complex,
87 Queen Elizabeth Drive, Nasese,
Suva, Fiji
E-mail: [email protected]
Abstract: In this study, we explore the contribution from sectoral sharetowards per worker income in the Sub-Saharan Africa (SSA) region over the
years, 1980 to 2009. Within the last three decades, agriculture and services didnot contribute positively towards growth in per worker income. Manufacturingsector on the other hand, had a transcending effect with a positive contributorypower (0.31%) towards the long-run growth and sustainability of theregion. Therefore, targeted sub-sectoral policy reforms to strengthenbackward-forward integration of agriculture and services sectors withmanufacturing operations whilst taking into account the historical diversity ofthe region are vital matters for development and growth discourse in the region.
Keywords: agriculture; manufacturing; services; economic growth; ARDLbounds approach; Sub-Saharan Africa; SSA.
Reference to this paper should be made as follows: Kumar, R.R. andKumar, R. (2012) Exploring sectoral elasticity vis--vis per worker incomewith a focus to agriculture: a study of Sub-Saharan Africa, African J.Economic and Sustainable Development, Vol. 1, No. 1, pp.2748.
Biographical notes: Ronald R. Kumar is affiliated with the School ofEconomics, Faculty of Business and Economics at the University of the SouthPacific, where he works as a Teaching Assistant. He was a recipient of theSasakawa Young Leaders Fellowship Foundation (SYLFF) award in20092010 by the School of Government, Development and InternationalAffairs under the auspices of Tokyo Foundation. He holds a MCom inEconomics and currently, he is pursuing MA in Development Studies. Hisspecific area of research includes migration, development and growtheconomics in developing countries.
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28 R.R. Kumar and R. Kumar
Radika Kumar is affiliated with Ministry of Foreign Affairs and International
Cooperation in the Government of Fiji Islands, where she works as anEconomic Planning Officer and she is currently pursuing her MCom inEconomics from the School of Economics at the University of the SouthPacific. Her area of research is on trade in services with particular focus toPacific Island countries.
1 Introduction
The African region is a composition of fifty-three individual countries of which 48
countries comprise the Sub-Saharan Africa (SSA) region. The countries within the
African region have experienced varied level of progress which is characteristicallydistinguished by the pace of industrialisation, oil exports, and fragility due to
socio-political events. Nevertheless, the challenges facing many of them are complex,
ranging from low productivity to high unemployment and from undeveloped middle class
to poor health and abject poverty.
Although about a quarter of the regions economies are performing well, the
majority of SSA countries are still lagging behind in growth, voice and democratic
accountability, control of corruption, political stability, rule of law and lack of
government effectiveness towards addressing environmental diversities and promoting
social choices which are critical to social and economic progress (Sen and Scanlon, 2004;
Sen, 1999, 1997). Further, as noted by many researchers and scholars (Nevile,
2007; Alesina, 2003; Sen, 2000; Stiglitz and Squire, 1998; Rostow, 1985; Amin, 1972,
among others), the exclusion from the credit market, gender related-related inequalitiesand unfavourable labour markets marred by elements and presence of colonialism and
ethnic conflicts impinge on sectoral development and critical economic activities in the
region.
Subsequently, in the height of increasing food prices and the need to expedite
productivity and economies of scale in agriculture viz. manufacturing and services
sectors within the SSA region, the paper explores the contributory powers from these
three key sectors within the augmented Solow model (Solow, 1956) framework with
insights from the some of the prominent pioneers of growth theory (Domar, 1961, 1952;
Harrod, 1959; Schumpeter, 1933). The study is of interest in at least three ways. First, the
contribution of sectors towards the overall economic growth is underscored. Secondly,
the study provides a sectoral approach to policy discourse which can be targeted for
long-term development of the region. Thirdly, the study outcomes relooks, if not reminds
the poignant history and development in agriculture vis--vis other sectors in the African
region.
The rest of the paper is set out as follows: a brief literature survey is provided
exploring the development patterns in Africa with focus to agriculture development,
followed by a short analysis on the trends and developments in sector performance. The
fourth section discusses the data, methods and results. Finally, the paper is concluded
with some policy directions for the SSA region.
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Exploring sectoral elasticity vis--vis per worker income with a focus to agriculture 29
2 A brief literature survey
Agriculture development has been considered as the engine of growth for many low
income and developing countries in terms of its contribution in providing cheap food,
raw materials, labour, savings, and consequent spill over effect on demand for
non-agricultural commodities (Staatz and Dembele, 2008; Diao et al., 2006; Tiffin and
Irz, 2006; Bravo-Ortega and Lederman, 2005; Doward et al., 2004; Dorosh and
Haggblade, 2003; Gollin et al., 2002; Timmer, 2002; Delgado et al., 1998; Lipton, 1977).
Further, agriculture has the export generating capacity, particularly for economies that
are in their early stages of development and heavily reliant on primary resources (Dethier
and Effenberger, 2011; Johnston and Mellor, 1961; Lewis, 1954). It is also argued that
the relationship between agriculture and overall economic growth is dependent on the
degree of openness, productivity in agriculture sector versus non-agriculture, and the
pace and effectiveness of industrialisation strategy (Gollin, 2010; Dercon, 2009).To emphasise the impact of agriculture on economic progress, various researchers
(Bezemer and Heady, 2008; Diao et al., 2006; Mosley, 2002; Lipton, 1987) compare and
differentiate the African agriculture development with the East Asian. They
comparatively assess the agricultural expenditure with the price regimes, macroeconomic
policies, political stability, health, education, and infrastructure in these regions. While
few recent empirical analysis have shown contrary views (Gardner, 2005), quite a lot of
studies have found agriculture as a catalyst to long run growth and development for many
developing countries (De Janvry and Sadoulet, 2009; Self and Grabowski, 2007).
However, balancing agriculture and industry (presumably manufacturing and
services) is an important yet a difficult dimension of development policy given the fact
that multi-dimensional causality between agriculture, manufacturing and services exists,
which are largely influenced by pricing and elasticity of resources and products, relative
differences in farm size, (incomplete) missing markets for insurance and credit or links to
financial markets, limited market access and (imperfect) market information, insecure
property and usage rights, unequal income distribution, access and availability of public
goods, pace of research and innovation, labour market distortions, degree of rural-urban
investment and climatic conditions (Dethier and Effenberger, 2011; Christiaensen et al.,
2010; Restuccia et al., 2008; Binswanger and Deininger, 1997; Stiglitz, 1987; Bauer,
1956, 1955).
Within the African context, Amin (2004, 2001, 1984, 1983) in his various studies
provides the historical diversity of Africa highlighting a gamut of factors and issues
explaining the (under)development of African region viz. agriculture development, many
of which by and large, are tied to the colonial and (unfair) trade systems. Furthermore,
looking at the historical diversity of Africa, Amin points out that African society cannot
be reduced to a single mode of production and therefore, for better understanding, need tobe segmented as:
1 primitive community
2 tributary
3 slave-based
4 small-scale trade
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30 R.R. Kumar and R. Kumar
5 the capitalist all of which overlapping across different times, to vividly characterise
the African development, resource (gold, diamonds and copper) depletion, andexploitation of (forced) cheap labour which not only made modern Africa a
dependent peripheral societies excluded at a global level but further exacerbated the
polarisation of wealth at the centre.
Moreover, the individual countries in the SSA region are too small, heterogeneous and
many of them lack the necessary resources to achieve economies of scale in the
production and marketing of their products and therefore need to work cooperatively,
through economic and monetary integration, as a region if they are to achieve significant
levels of economic growth and compete in the international markets with the super
powers and other emerging regional blocs (Staatz and Dembele, 2008; Nnanna, 2006).
Notably, a stable and credible policy environment, an open and competitive economy,
and a focused public sector are instrumental to development but high levels of corruption,
volatility in real exchange rate distortions, and a lack of rule of law are most detrimentalto investment and productivity (Stiglitz and Squire, 1998). Nnanna (2006) highlights that
the demand management strategies paired with keeping an over-valued exchange rate
regime have been equally detrimental to the development of agriculture in African
countries.
Despite the evidence of growth in aid inflows to SSA region (c.f., USAID, 2011), the
share of aid for agriculture development has fallen dramatically since 1980s, much of
which have been channelled in the areas of political reforms (Shleifer, 2009; Goldsmith,
2001). Evidently, all SSA countries spend less than 10% of their aid budget on
agriculture, thus further threatening the sustainability of total factor productivity (the
amount of output per unit of input of total factors used in the production process) growth
in the coming years (Fan et al., 2009).
Noting the International Monetary Funds (IMFs) failure to support recovery of manydeveloping economies, Kapur (1998) points out that most of the IMF programs in Africa
at the end of the 1970s were not only ill-advised but also overlooked the burgeoning
problems which emerged from the adverse socio-political activities. Similarly, Plank
(1993) highlights that the structural and sectoral policy reforms of IMF and World Bank
have discredited traditional notions of sovereignty in many parts of Africa which had
adverse effects on agriculture and other productions. Stiglitz (1999) also puts some blame
on the World Banks failure to recognise that most low-income countries, particularly in
Africa, did not have access to international capital markets, which resulted in funds
flowing disproportionately to a few selected countries, sectors (excluding health and
education) and farmers particularly to finance infrastructure from which cost (of lending)
can be recouped. Moreover, Stiglitz (2002), using examples from SSA region among
other developing countries, condemns the IMFs structural reform policies which further
exacerbated the existing income inequalities and wealth distribution, poverty and slow
progress towards growth. Thompson (2004) on the other hand, in the context of World
Trade Organizations (WTO) promotion for free-trade with respect to African Growth
and Opportunity Act (AGOA), highlights that the latter had no positive impact on the
macroeconomic performance and economic conditions of workers in many of the of
African countries.
However, the criticisms and failures of multinational corporations highlighted by
Stiglitz (2002) are challenged as well as explicated by Ghosh (2002). Ghosh, although
acknowledging the negative effects some developing countries experienced in their effort
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Exploring sectoral elasticity vis--vis per worker income with a focus to agriculture 31
to recover, counter argues that the sources of these failures were mainly due to the
inherent weak internal governance structure of the countries from the past, and thereforepropose that developing regions need to:
a have an institutional framework for global macroeconomic management
b have a new and better international financial architecture to deal with the problems
of crisis management and prevention
c integrate with the world economy with the aim to promoting development (c.f.,
Lawrence, 2007) whilst disciplining the Trans National Corporations (TNCs)
d have in place international rules and institutions that govern cross-border movement
of people exacerbated by globalisation.
In regards to the manufacturing sector development and growth, Rodrik (2008) highlights
that the former has enabled skill upgrading, capital deepening and enhancement ofworker productivity and therefore has a positive contributory power to increase income
and employment. Further, Rajan and Subramanian (2011) underscore the use of aid in
developing the manufacturing sector and characterise manufacturing exports as a vehicle
for growth take-off besides having a transcending effect on economic activities.
Moreover, many researchers have identified services sector to have a critical role in
economic development with greater benefits evident in cases where the services are
relatively cheaper due to low wage cost and speedy development of key sectors in the
economy (Banga and Goldar, 2004; Kongsamut et al., 2001; Francois and Reinert, 1996;
Bhagwati, 1984; Chenery, 1960). However splintering effect (that is, when indirect
production activities are outsourced thus raising the demand for producer services as
intermediate input) has influenced the growth of services sector (Bhagwati, 1984).
Further, in some small and low income economies where sectors such as banking andfinance are not fully developed or is affected by massive capital outflows due to large
foreign ownership, the effect on growth is either negative or nil (Kumar, 2011a, 2011b).
On the other hand, in some relatively well developed and developing and small
economies, services like electricity, information and communications technology (ICT),
tourism, financial development and remittance inflows (trade in services) are critical
drivers of growth (Jayaraman et al., 2011, 2010, 2009; Jalava and Pohjola, 2008).
3 Trends and patterns in sectoral trade
Agriculture is critical for both human welfare and economic growth in Africa. In SSA,
roughly two-thirds of the population live in rural areas and are dependent on agriculture
for their livelihoods. However, agriculture sector overall had suffered poor performance
over the last three decades despite having momentary trajectory of good performance.
The growth in population and consequent demand for food has resulted in expansion of
food, however at the cost of deforestation and land degradation. Low farm productivity in
Africa also has been attributed to the use of traditional crop varieties, shrinking plots of
land, scarce and unreliable water supply, crop losses from pests, diseases and
natural disasters, inequitable land-distribution patterns besides high proportion of
population being landlocked, inefficient and unfair markets and poor agricultural and
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32 R.R. Kumar and R. Kumar
transportation infrastructures (Pratt and Yu, 2009; Toenniessen et al., 2008; Collier and
Gunnings, 1999).Table 1 shows the key indicators of the SSA region. In Table 2 to Table 4, the top ten
sectoral shares (agriculture, manufacturing and services) are listed with the SSA region as
a whole.
Table 1 Selected key indicators for SSA
Land area (sq. km. 000) 23,613.4
Agricultural land (% of land area) (20032007) 44.2
Population (2009: millions) 840.3
Rural population (% of total population) (20052009) 64.0
Per capita GDP (US$) current prices (20052009) 1,062.0
Annual growth rate in percent (20062010) 5.4
Annual inflation in percent (GDP deflator) (20052009) 8.7
Fiscal balance of Central Government as percent of GDP (20052009) 13.5
Current account balance as percent of GDP (20072010) 0.9
External debt as a percent of GDP 23.4
Private financial flows (net in billions USD) (20062010) 22.4
Reserves (in billions of USD) (20062010) 146.9
Ratio of reserves to imports of goods and services (20062010) 46.1
Source: World Bank (2010) and IMF (2011)
Table 2 Agriculture share (% GDP)
Year 19851994 19952004 2005 2006 2007 2008* 2009
Central African Republic 46.9 53.1 54.4 55.0 53.9 52.9 55.5
Sierra Leone 42.6 51.8 51.6 51.1 49.9 50.2 51.4
Comoros 38.9 45.5 51.0 45.2 45.3 45.8 45.2
Ethiopia 58.6 50.1 46.7 47.9 46.2 43.8 50.7
Congo, Dem. Rep. 38.4 49.8 45.5 45.7 42.5 40.2 42.9
Rwanda 37.8 41.2 38.7 38.6 35.6 37.4 38.7
Malawi 43.4 36.2 32.9 34.2 34.3 34.3 35.9
Ghana 46.5 40.7 40.9 30.4 29.0 31.0 31.7
Mozambique 40.5 29.4 27.0 27.9 27.7 30.5 31.5
Gambia 29.8 31.6 32.1 30.3 28.7 28.5 27.5
Sub-Saharan Africa 18.6 17.9 16.9 16.2 14.9 11.9 12.3
Note: *Ranked by 2008 figures. Figures in range of years are averages calculated by theauthors.
Source: World Bank (2010)
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Exploring sectoral elasticity vis--vis per worker income with a focus to agriculture 33
Table 3 Manufacturing share (% GDP)
Year 19851994 19952004 2005 2006 2007 2008* 2009
Swaziland 31.8 39.8 40.0 43.4 44.4 44.4 44.4
Mauritius 23.8 23.0 19.8 20.0 19.8 20.1 19.4
Lesotho 15.5 19.3 20.5 21.8 20.3 19.1 17.0
Cote dIvoire 17.9 19.3 19.3 17.8 17.5 18.0 18.0
South Africa 22.3 19.5 18.5 17.5 16.9 16.5 15.1
Madagascar 10.7 11.7 14.0 14.2 15.5 15.3 15.4
Malawi 17.2 13.4 13.9 13.6 14.1 14.2 14.5
Mozambique 10.0 12.3 15.5 16.0 15.4 14.0 13.6
Namibia 12.7 12.4 13.6 15.6 17.0 13.7 14.7
Senegal 14.9 16.3 15.2 14.2 14.3 12.7 12.7
Sub-Saharan Africa 16.9 14.7 13.1 12.6 13.9 13.4 12.8
Notes: *Ranked by 2008 figures. Figures in range of years are averages calculated by theauthors.
Source: World Bank (2010)
Table 4 Services share (% GDP)
Year 19851994 19952004 2005 2006 2007 2008* 2009
Seychelles 77.7 70.1 75.6 77.1 77.7 77.7 78.3
Cape Verde 65.2 71.8 74.0 73.2 73.0 72.1 70.7
Mauritius 54.3 61.2 66.4 66.9 67.1 66.4 66.6South Africa 55.4 63.9 66.2 66.0 65.5 64.3 65.8
Kenya 50.5 52.0 53.7 54.8 65.0 63.9 62.1
Eritrea 60.2 59.3 56.9 57.2 56.5 63.3 63.4
Senegal 56.6 57.3 59.5 62.2 63.0 62.8 61.7
Madagascar 55.8 57.1 55.9 56.4 56.4 57.5 58.5
Gambia 56.7 54.8 54.6 55.5 56.5 56.4 57.1
Lesotho 42.7 46.0 56.3 53.5 52.8 54.3 57.5
Sub-Saharan Africa 49.4 52.6 51.5 51.9 53.0 55.9 57.4
Notes: *Ranked by 2008 figures. Figures in range of years are averages calculated by the
authors.Source: World Bank (2010)
The Table 2 to Table 4 shows the countries within the SSA region with different rankings
for the sectoral shares to GDP. For instances, while agriculture (as a percent of GDP) is
highest in countries like Central Republic Africa, Sierra Leone, Comoros and Ethiopia
(Table 2), manufacturing (as a percent of GDP) is topped by Swaziland, Mauritius,
Lesotho and Cote dIvoire among other countries (Table 3). Similarly services (as a
percent of GDP) are highest in countries like Seychelles, Cape Verde, Mauritius and
South Africa among others (Table 4). Overall, comparatively, manufacturing (as a
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34 R.R. Kumar and R. Kumar
percent of GDP) has caught-up and even exceeded the agriculture (as a share of GDP)
between 20072009 periods.The growth in GDP in the SSA region has been positive since 1995 and remained
stable despite the current global economic downturn (Table 5). Similar trend is noticed in
the growth of per capita GDP, except for 2009. In line with the positive trends in GDP
growth, manufacturing growth remained positive and relatively higher than agriculture
and services between the 1970 to 2006 periods. On the other hand, FDI inflows growth
rate have been largely negative, supported by declining trends in investment. Urban
population and overall population growth has been on the rise while growth in energy use
indicates mixed trends.
Table 5 Annual percentage growth of selected indicators for SSA region
Year 19651974 19751984 19851994 19952004 2005 2006 2007 2008 2009
Agriculture(%GDP)
n.d. 1.3 2.4 3.5 4.4 3.1 3.9 3.6 3.5
Domesticsavings(%GDP)
1.3 2.1 1.9 0.0 0.9 0.7 5.3 3.5 3.8
energy use percapita
0.5 0.7 0.8 0.3 1.0 0.5 2.1 0.1 n.d.
Exports(%GDP)
1.0 1.0 1.0 1.1 4.5 2.2 1.4 6.2 18.8
FDI, netinflows
n.d. 9.9 9.8 5.1 35.7 8.1 23.1 4.8 10.3
GDP 5.0 2.1 1.6 3.9 5.7 6.3 6.5 5.1 1.7
GDP per capita 2.2 0.8 1.1 1.2 3.2 3.7 3.9 2.5 0.8
Imports(%GDP)
1.3 0.9 1.3 0.9 4.4 3.9 2.6 9.5 17.1
Industry(%GDP)
4.3 2.8 0.3 3.9 6.2 7.0 7.9 3.9 2.7
Investment(%GDP)
n.d. 2.7 1.5 0.1 4.4 3.7 7.3 7.0 2.4
Manufacturing(%GDP)
7.0 3.6 0.6 3.4 5.7 5.7 6.2 3.6 5.2
Population (%) 2.6 2.9 2.8 2.6 2.5 2.5 2.5 2.5 2.5
Services(%GDP) 4.7 3.0 1.3 4.3 5.8 2.2 6.9 6.1 1.8
UrbanPopulation
5.1 4.8 4.5 4.1 3.8 3.9 3.9 3.9 3.8
Source: World Bank (2010)
Moreover, disaggregating public expenditure on various sub-sectors of the SSA region, it
is evident that the largest share (as a percent) is attributed to fuel and energy production,
manufacturing, construction and general administration, while the least is in transport and
communication (services) and agriculture between 2000-2005 periods (Table 6).
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Exploring sectoral elasticity vis--vis per worker income with a focus to agriculture 35
Table 6 Composition of public expenditure (%)
Year Agriculture Education HealthTransport andcommunication
Socialsecurity
Defence Other*
1980 7.1 14.4 4.9 11.0 2.9 19.7 40.1
1990 5.5 14.5 4.5 4.5 2.5 17.1 51.5
2000 3.8 14.1 6.7 4.7 5.0 8.8 56.9
SubSaharanAfrica
2005 6.3 15.4 8.1 5.8 2.8 6.5 55.1
Note: *Others include fuel and energy, manufacturing, and construction, and generaladministration.
Source: Taken from World Bank as reported in Fan et al. (2009, p.4).
4 Data, method and results
For the purpose of this study, all three sectors are assumed to be critical for the economic
growth of SSA region. However, at the outset, the impact of each sector on per worker
income cannot be overly speculated and therefore largely depend on the overall
performance from the sectors. For instances, the development in agriculture is largely
influenced by myriad of factors constraining its growth as discussed in the literature
earlier on. Similarly, low levels of investment and decline in exports and foreign direct
investment are likely to have adverse impact on service sector performance.
The analysis uses 30 years annual data for the period 19802009. The capital stock
utilised for the study has been built up by a perpetual inventory method.1 Population is
used as a proxy for labour stock since there is no consistent time series data on
employment. All data including agriculture (AGRt)
2
, manufacturing (MANt)
3
and services(SERt)
4 as a percent of GDP respectively, are sourced from the World Development
Indicators and Global Development Finance, World Bank (2010) database.
Subsequently, AGRt, MANt, and SERt are used in the conventional Cobb-Douglas
production function, with the Hicksneutral technical progress. The per worker output
(yt) equation is defined as:
, where 0 1t t ty A k = < < (1)
whereA = stock of technology and k= capital per worker, and is the profit share. The
Solow model assumes that the evolution of technology is given by
0T
tA A e= (2)
whereA0 is the initial stock of knowledge and Tis time.To capture the effect of,AGRt,MANt, and SERton total factor productivity (TFP),At
is defined as:
( ), , ,t t t t A f T AGR MAN SER= (3)
which is expanded as:
0gT
t t t t A A e AGR MAN SER = (4)
and therefore:
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36 R.R. Kumar and R. Kumar
( )0gT
t t t t t
y A e AGR MAN SER k = (5)
and finally, the above can be formulated as:
,t t t t t Ly g LAGR LMAN LSER = + + + (6)
where, L denotes difference in logs of respective variables, and the intercept term gt isthe steady state growth rate of output (TFP) due to other likely growth factors not
included in the analyses.
Since the number of observations is small, the bounds testing approach under ARDL
procedure developed by Pesaran et al. (2001) is deployed. In bounds testing approach,
pre-testing of unit roots is not required and it is possible to investigate cointegration of
the levels of the variables, irrespective of their order. However, with a view to meeting
the criticism that it is difficult to accept that variables of different orders are cointegrated,the unit root tests first conducted to ensure they are of the same order before entering
them into the analyses.
In computing unit root tests to examine the time series properties of the variables, the
ADF and Phillips-Perron test statistics are used. From the test results, all variables are
non-stationary in their levels however they are stationary in their first differences
(Table 7).
Table 7 Results of unit root tests
ADF Phillips and PerronVariable
Level First difference Level First difference
Ly 1.854 3.321 * 2.929 2.66 *Lk 1.606 3.869 *** 3.545 3.47 **
LAGR 0.760 4.604 *** 0.746 4.55 ***
LMAN 2.725 3.195 ** 2.653 5.39 ***
LSER 1.853 4.907 *** 2.091 4.93 ***
Notes: The ADF critical values are based on Mckinnon. The optimal lag is chosen on thebasis of Akaike Information Criterion (AIC). The null hypothesis for both ADFand Phillips-Perron tests is a series has a unit root (non-stationary). ***, **, and*denotes the rejection of the null hypothesis of unit root at 1%, 5%, and 10% levelof significance respectively.
The next step is to examine the existence of a long run relationship between yt, kt,AGRt,
MANtand SERtby using bounds test.The ARDL equations are specified as follows:
10 11 1 12 1 13 1 14 1
15 1 16 11 12
1 0
13 14 15 1
0 0 0
t t t t t
p p
t i t i i t i
i i
p p p
i t i i t i i t i t
i i i
Ly Ly Lk LAGR LMAN
LSER TREND Ly Lk
LAGR LMAN LSER
= =
= = =
= + + + +
+ + + +
+ + + +
(7)
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Exploring sectoral elasticity vis--vis per worker income with a focus to agriculture 37
20 21 1 22 1 23 1 24 1
25 1 26 21 22
1 0
23 24 25 2
0 0 0
t t t t t
p p
t i t i i t i
i i
p p p
t i t i i t i t
i i i
Lk Ly Lk LAGR LMAN
LSER TREND Ly Lk
LAGR LMAN LSER
= =
= = =
= + + + +
+ + + +
+ + + +
(8)
30 31 1 32 1 33 1 34 1
35 1 36 31 32
0 0
33 34 35 31 0 0
t t t t t
p p
t i t i i t i
i i
p p p
i t i i t i i t i t i i i
LAGR Ly Lk LAGR LMAN
LSER TREND Ly Lk
LAGR LMAN LSER
= =
= = =
= + + + +
+ + + +
+ + + +
(9)
40 41 1 42 1 43 1 44 1
45 1 46 41 42
0 0
43 1 44 1 45 1 4
0 1 1
t t t t t
p p
t i t i i t i
i i
p p p
i t i t i t t
i i i
LMAN Ly Lk LAGR LMAN
LSER TREND Ly Lk
LAGR LMAN LSER
= =
= = =
= + + + +
+ + + +
+ + + +
(10)
50 51 1 52 1 53 1 54 1
55 1 56 51 520 0
53 54 55 5
0 1 1
t t t t t
p p
t i t i i t ii i
p p p
i t i i t i i t i t
i i i
LSER Ly Lk LAGR LMAN
LSER TREND Ly Lk
LAGR LMAN LSER
= =
= = =
= + + + +
+ + + +
+ + + +
(11)
Table 8 Results of bound tests
Dependent variable Computed F-statistic
Lyt 7.17*
Lkt 3.24
LAGRt 3.62
LMANt 1.63
LSERt 1.41
Pesaran, Shin and Smith. (2001)a
Critical value Lower bound value Upper bound value
1% 4.40 5.72
5% 3.47 4.57
Notes: Table CI. v: Case V with unrestricted intercept and unrestricted trend, p.300;*indicates significance at 1% level.
Source: aCritical values are obtained from Pesaran et al. (2001)
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38 R.R. Kumar and R. Kumar
There are two steps in examining the relationship between Lyt, Lkt, LAGRt, LMANt and
LSERt. First, equations (7) to (11) are estimated by ordinary least squares techniques.Second, the existence of a long-run relationship can be traced by imposing a restriction
on all estimated coefficients of lagged level variables equating to zero. Hence, bounds
test is based on the F-statistics (or Wald statistics) with the null hypothesis of no
cointegration (H0: = i1 = i2 = i3 = i4 = i5 = 0) against its alternative hypothesis of a
long-run cointegration relationship (H1: i1i2i3i4i5 0). The results of thebounds test are reported in Table 8, confirming the presence of a long run relationship
amongst the variables when only real output per worker (Lyt) is set as the dependent
variable. The computed F-statistics forLyt is 7.17, which is significant at 1% level.
Table 9 Autoregressive distributed lag estimates
ARDL (1, 1, 0, 0, 0) selected based on Akaike information criterion
Dependent variable is LY
30 observations used for estimation from 1980 to 2009
Regressor Coefficient Standard error t-Ratio
LY(1) 0.3543 *** 0.0956 3.706
LK 1.1594 *** 0.2613 4.437
LK(1) 0.9740 *** 0.1984 4.909
LAGR 0.1722 *** 0.0364 4.728
LMAN 0.2033 *** 0.0489 4.156
LSER 0.7129 *** 0.0825 8.638
C 5.4576 *** 0.6643 8.215
T 0.0060 *** 0.0008 7.289
R2 = 0.99182 2R
= 0.98220
S.E. of regression = 0.00722 F-statistics [F( 7, 22)] = 381.085
Mean of dependent variable = 6.28910 S.D. of dependent variable = 0.06952
Residual sum of squares = 0.00115 Equation Log-likelihood = 109.998
Akaike info. criterion = 101.998 Schwarz Bayesian criterion = 96.3931
DW-statistic = 1.74340 Durbins h-statistic = 0.82480
Diagnostic tests
Test statistics LM version F version
p-value p-value
(A): Serial correlation 2(1) = 0.5891 0. 443 F(1, 21) = 0.4206 0.524
(B): Functional form 2(1) = 0.5853 0. 444 F(1, 21) = 0.4179 0.525
(C): Normality 2(2) = 0.2997 0. 861 Not applicable
(D): Heteroscedasticity 2(1) = 0.0195 0.889 F( 1, 28) = 0.01820 0.894
Notes: ***Acceptance of coefficient at 1% level of significance;Rejection of null hypothesis of (A)(D) biasness at 1% level of significance.
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Exploring sectoral elasticity vis--vis per worker income with a focus to agriculture 39
Having confirmed the existence of a long-run relationship between output (yt) with
capital stock (kt), AGRt, MANt, and SERt, a number of diagnostic test results (see thelower panel of Table 9), such as Lagrange multiplier test of residual serial correlation,
Ramseys RESET test using the square of the fitted values for correct functional form,
normality test based on a test of skewness and kurtosis of residuals, and
heteroscedasticity test based on the regression of squared residuals on squared fitted
values, showed that the equation performed well as the disturbance terms are normally
distributed and serially uncorrelated with homoscedasticity of residuals, duly confirming
the model has a correct functional form. Besides, the CUSUM and CUSUM of Squares
plot (Figure 1 and Figure 2) shows the parameters of the model are relatively stable over
time.
Figure 1 Plot of cumulative sum of recursive residuals
-5
-10
-15
0
5
10
15
1980 1985 1990 1995 2000 2005
Note: The straight lines represent critical bounds at 5% significance level
Figure 2 Plot of cumulative sum of squares of recursive residuals
-0.5
0.0
0.5
1.0
1.5
1980 1985 1990 1995 2000 2005
Note: The straight lines represent critical bounds at 5% significance level
The ARDL estimate (Table 9) indicates a positive lagged effect of income to long run
growth (0.35), which is plausibly due to effective overall growth policies in the SSA
region. The high capital share in the equation is offset by the negative share in the
lag-one period, which is plausibly due to poor use of technology and capital stock
depletion in later periods. Further, agriculture and services have negative income
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40 R.R. Kumar and R. Kumar
elasticity, which implies that as income increased, the contribution from agriculture and
services declined.
Table 10 Dependent variable:RGDP/Labour(Ly) ARDL(1, 1, 0, 0, 0)
Long-run coefficients Short-run coefficients
Regressor CoefficientStandard
erort-ratio Regressor Coefficient
Standarderror
t-ratio
Lk 0.2870 *** 0.07409 3.8734 Lk 1.1594 *** 0.26127 4.4374
LAGR 0.2668 *** 0.06355 4.1990 LAGR 0.1723 *** 0.03644 4.7278
LMAN 0.3149 *** 0.07789 4.0433 LMAN 0.2033 *** 0.04893 4.1555
LSER 1.1042 *** 0.16972 6.5064 LSER 0.7130 *** 0.08254 8.6382
C 8.4527 *** 1.15820 7.2980 C 5.4576 *** 0.66431 8.2155
T 0.0093 *** 0.00186 5.0109 T 0.0060 *** 0.00827 7.2894ECT(1) 0.6457 *** 0.09561 6.7532
Short-run equation statistics
R2 = 0.90608 2R
= 0.87619
S.E. of regression = 0.00722 F-statistics [F(6, 23)] = 35.3723
Mean of dependentvariable
= 0.00213 S.D. of dependent variable = 0.02053
Residual sum of squares = 0.00114 Equation Log-likelihood = 109.998
Akaike Info. Criterion = 101.998 Schwarz Bayesiancriterion
= 96.3931
DW-statistics = 1.74340
ECT = Ly 0.2870Lk + 0.2668LAGR 0.3149LMAN + 1.1042LSER 0.0093T 8.4527
Note: ***Significant at 1% level
The long-run estimation (Table 10) shows similar outcomes as Table 9. The capital stock
share is about 0.29 which is close to the stylised value of one-third (c.f., Rao, 2010; Ertur
and Koch, 2007). Furthermore, the elasticity for agriculture is 0.27 and services is 1.10
while the manufacturing sector has the elasticity of 0.31, all significant at 1% level. Time
trend5, is positive and significant, both in the long run (0.009) and the short-run (0.006),
however having a marginal contributory power towards per worker income, indicating
weak response to supply side shocks. The trend captures (positively) the supply side
responses such as investment decisions, labour market distortions and credit expansions
in the short and long run respectively.
Further, in the short-run, the manufacturing sector elasticity coefficient is 0.20 whichis positive and significant at 1% level. On the other hand, the agriculture and services
have a negative elasticity of 0.17 and 0.71 accordingly. These results underscore the
production shift towards manufacturing as the economy grows relative to agriculture and
services. Evidently, the long-run elasticity is larger than the short-run because prices are
not completely flexible and hence (labour) markets are slow to clear in the short run.
Further, the Granger causality test was conducted to identify the causation effect
(Table 11). The results show unidirectional relationship running from output to capital,
from manufacturing to output, and from manufacturing to capital stock. Therefore, it is
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Exploring sectoral elasticity vis--vis per worker income with a focus to agriculture 41
evident that growth in output Granger-cause growth in capital; growth in manufacturing
base Granger-cause growth in output and growth in capital stock accordingly.
Table 11 Granger causality tests with ECT from bounds test
F-statistics
Ly Lk LAGR LMAN LSER
ECT(t-statistics)
Ly 2.33458* 1.78771 0.5001 0.7734 0.6457
(6.7532)
Lk 1.0100 1.7635 0.1206 1.1776 0.20208
(15.6453)
LAGR 0.5171 0.7046 0.7266 1.5920 1.4445
(7.9702)
LMAN 3.4005** 2.5609* 1.8715 0.8065 0.62023
(3.1603)
LSER 1.3591 1.6301 1.2196 0.5643 1.2832
(6.0297)
Notes: *, **, and *** indicates rejection of the null hypothesis of no causality at 10% and5% respectively;and indicates significance level at 1% and 5% respectively based ont-statistics and correct sign.
5 Conclusions and policy discussion
We have shown that agriculture and services sectors had negative elasticity coefficients,
whilst manufacturing sector had positively contributed towards improving per worker
income in the SSA region. The study resonates, if not underscores, some of the
concerning and long-standing poignant issues in agricultural and other production sectors
in the African region highlighted by some of the prominent scholars (Sen, 2000; Stiglitz
and Squire, 1998; Rostow, 1985; Amin, 1972; among others).
In light of the results, it is clear that SSA countries need to increase their budgetary
allocations to agriculture. A big challenge looming ahead for the countries is the recent
surge in world food prices, the recent financial crisis and the series of disasters affecting
the horn of Africa which threatens to reverse any past gains in poverty reduction. Higher
food prices will severely affect rural and urban consumers, especially among the poor. By
increasing spending in agriculture and rural development now, the region can avert this
threat by rapidly increasing agricultural productivity and ensuring a long term and stable
supply of affordable food to millions (Fan et al., 2009).
Our results also coincides with the notion that agriculture-led path out of poverty does
not occur automatically simply if the agricultural sector grows. It will require that
agricultural growth be spread among a broad class of smallholder entrepreneurs to
broaden the demand for labour-intensive goods and that some of that growth be tapped
for investment in education, health, infrastructure and better-functioning labour markets
(Ulimwengu and Sanyal, 2011; Staatz and Dembele, 2008).
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42 R.R. Kumar and R. Kumar
Subsequently, each country within the SSA region should focus on key sector reforms
that are most likely to have the largest impact at every stage of economic development.For example, the agriculture and land use policy can be reviewed to promote clear flow
of benefits from the ownership of land. Fostering sustained growth through domestic and
foreign investment, private sector development, improved public sector management and
sectoral development within the overarching framework of good governance are vital.
Additionally, voice and accountability, political stability, corruption control and rule
of law are critical for equitable growth. Countries in North Africa that experienced high
growth such as Tunisia and Egypt have also experienced social unrest and undergone
regime change, stemmed by highly inequitable growth and unproductive or non-existent
job prospects and corrupt institutions, making some of the SSA countries highly
susceptible to unrest. Further, such social unrests and prolonged civil wars divert
resources, including human capital, away from productive income generating activities.
Poor infrastructure and high cost of transportation impose substantial barriers to entry,thus allowing transport companies to maintain a monopoly and charge prohibitively high
prices. Gender equality and female empowerment and participation in all sectors, backed
by increased health expenditure towards improving well being and reducing child and
maternal mortality are required so as to freeing up and strengthening resources for
productive activities which can be deployed to critical sectors of the economy.
Natural disasters quite often hit hard the horn of Africa creating a grave concern on
the staple food security and sustainable livelihood of many besides population
displacement. Therefore, disaster and crisis management need to be organised and aid
from donors need to focus more on investing in technologies to anticipate and formulate
strategies to manage these crisis and support agriculture. Moreover, noting that
development aid flows to Africa from multinational corporations (IMF and World Bank)
have resulted in controversial, if not contrary outcomes, the donor and recipient (SSA)
countries need to explore better mechanism to channel aid which is linked to solid
growth initiatives and projects to have a welfare enhancing effect.
Further, projects related to agro-marketing need to be promoted and monitored so that
benefits reach the small holder farmers. The drive need to come from relevant
government bodies such and non-government organisation with an inclusive approach to
dialogue. Ensuring the availability of investment fund to buy land and other capital inputs
for agricultural production, effective coordination of agri-business with financial services
and integrating private sector participation including manufacturing and services sector
operations with agriculture development initiatives will create the environment for
overall growth and development. For instance, linking tourism (service) and food
processing (manufacturing) with locally produced commodities will boost domestic
agriculture. Further, encouraging private sector and non-government organisation
partnership in sub-sectors like fisheries, forestry, cash-crop industries among others aresome important areas to look at. Among other things, the focus need to be more on
branding, promoting and diversifying domestically produced commodities both in local
and international markets to reduce dependency on imported items, and tax incentives
and subsidies need to be defined and engineered to support growth in sectoral
(agriculture, manufacturing and services) productivity.
In addition, specific sub-sector based (scientific and non-scientific) research, training
and capacity building in areas of agriculture development, financial literacy and the use
of technology and media to access and penetrate local and international markets for new
and existing commodities need to be promoted.
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Exploring sectoral elasticity vis--vis per worker income with a focus to agriculture 43
The legal aspects governing the sectoral investment need to be scrutinised so that
(new) investors are incentivised to invest in without compromising the law and order.Therefore, the right institutional environment and infrastructure need to be in place so
that various key sector performances can be enhanced at operational and managerial
levels.
Finally, the effective participation of the SSA countries in the multilateral rules of
trade via WTO and other regional trade bodies are vital. In order for the agricultural
sector to expand and gain efficiency, bringing competition in the sectors is imperative.
Active negotiations by the countries for its offensive and defensive tariff are vital, whist
striving to suss out ways in which trade can promote their development optimally. Sub
sectors within the agricultural sector which are inefficient need to be liberalised (if not
reformed) as well as Green box subsidies can be provided to ensure that the sector
improves over time. In contrast to this, the more productive sectors such as
manufacturing which are duly competitive can offset the effects of preference erosionthrough tariff reductions in agriculture. It is imperative that the countries also identify
precisely their special and sensitive products in the agricultural sector for the agricultural
modality in the recent Doha rounds and also make targeted cuts in non-agricultural
market access (NAMA) commodities or choose the best mix of tariff cuts, whilst
providing the countries more room for policy space on one hand (c.f., Stiglitz and
Charlton, 2005) and having a binding mechanisms which ensures monetary compensation
in cases where poor countries lose out as a result of subsidies and preference erosion, on
the other. Moreover, the need for solidifying North-South cooperation, particularly in
relation to investment in agriculture, energy, raw materials, reforestation, and disaster and
crisis management, in order to have resource foundations for growth in both regions and
to assure resources are priced reasonably to permit growth in both regions are critical for
long-run growth and sustainable development.
Acknowledgements
The corresponding author would like to thank the SYLFF for the opportunity to pursue
this research. Further, the authors would like to sincerely thank the anonymous reviewers
and referees for their invaluable comments and suggestions.
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Notes
1 The capital stock is computed for the period of 19602008, using perpetual inventory method,where investment is proxied by gross fixed capital formation, initial capital stock is estimatedto be 1.5 times the real GDP of 1960 and the depreciation rate of 10.5% is used. Dataset from1980 onwards was used in the analysis to maintain consistency.
2 Agriculture value added corresponds to ISIC divisions 15 and includes forestry, hunting, andfishing, as well as cultivation of crops and livestock production (see World Bank, 2010) forfull definition).
3 Manufacturing value added refers to industries belonging to ISIC divisions 1537 [see WorldBank (2010) for full definition].
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4 Services value added correspond to ISIC divisions 5099 and they include value added in
wholesale and retail trade (including hotels and restaurants), transport, and government,financial, professional, and personal services such as education, healthcare, and real estateservices. Also included are imputed bank service charges, import duties, and any statisticaldiscrepancies noted by national compilers as well as discrepancies arising from rescaling [seeWorld Bank (2010) for full definition].
5 The trend captures the supply side responses such as investment decisions, labour, marketdistortions and credit expansion in the short and long run, accordingly.