Dynamics of wheat market integration in Northern Punjab, Pakistan.
Zahid, Muhammad Sarwar ; Qayyum, Abdul ; Malik, Wasim Shahid 等
This paper presents some empirical evidence of wheat market
integration in Northern Punjab by applying the cointegration technique.
It is found that there exists long-run market integration between Lahore
as a central market with all the feeder markets of Faisalabad, Sargodha,
Gujranwala, Gujrat, and Sialkot. Those market pairs with good road/rail
connections and good flow of information have better market integration
with each other than the other market pairs, which have partial
integration due to weak infrastructure and flow of information. The
conclusion suggests that the government needs to improve infrastructure
and information system, including construction of new transportation
facilities.
JEL classification: Q1, Q11, Q13
Keywords: Wheat Market, Market Integration, Efficiency,
Uncertainty, Pakistan
1. INTRODUCTION
The economy of Pakistan is largely dependent on the agriculture
sector which contributes about 21 percent to the GDP and employs about
43.4 percent of the labour force. Agriculture and agro-based industrial
products contribute about three fourth of the total foreign exchange
earnings from export [Pakistan (2007)]. About 66 percent of the
population lives in rural areas of Pakistan and directly or indirectly
depends on agriculture for its livelihood. The welfare and participation
of the rural population in the economy is therefore, central to the
country's progress. Despite the importance of agricultural sector
in the national economy, there is a wide gap between food supply and
demand due to low performance of agriculture [FAO (2000)].
The country is not producing enough commodities like wheat, rice
and edible oil etc. to meet even the basic food needs of the population
and as a consequence poverty is on the rise, particularly in the rural
areas. In order to reduce poverty, agriculture has to grow faster and at
a sustainable basis.
The growth of agriculture is influenced by three major factors
which are greater use of inputs, increase in total factor productivity
and institutional changes. The potential of growth in agriculture
through greater use of inputs is limited mainly because of deteriorating
land and water resources. Therefore, there is a need to conserve these
two basic resources of production [Ahmad (2003)]. The major drivers of
total factor productivity (TFP) are research and development, provision
of infrastructure like roads, electricity, education and extension and
agriculture credit [Iqbal (1989)]. The provision of these factors in
rural areas is also deteriorating since early 1990s due to financial
constraints. The strong institutional set up can improve the functioning
of input and output markets as well as these drivers of TFP growth.
The input markets are related to improved seeds, fertiliser,
pesticides, irrigation and mechanical power etc. while output markets
are classified as the agricultural commodity markets, the efficiency of
which is a prerequisite for sustained agricultural development. The
efficiency Of the farm sector depends not just only on farm production
costs and yields, but also equally on marketing opportunities and rate
of return to the farmers [FAO (2000)]. It influences well-being of both
the producers and the consumers. The producer's (farmers) wellbeing
is affected through prices they receive for their product and
consumer's wellbeing is affected via prices they pay for
agricultural commodities. Therefore, the nature of markets, working
capabilities and their role in price determination is central for the
allocation of resources and thus the resource productivity [Sexton (1991)]. A well integrated market system is the key to an efficient
allocation of productive resources and results in stable and just prices
which reduce risk and uncertainty and encourages investment in new
technology in agriculture leading to rapid growth of the sector [Qureshi
(1974); Dagher, et al. (1991); Kurosaki (1996); Ahmad (2003)].
The markets which are not integrated may convey inaccurate price
informations that might distort production and marketing decisions of
the producers and results in misallocation of resources [Bale (1981);
Timmer (986); Goodwin (1991); Baulch (1997)]. According to Sexton
(1991), spatial price behaviour is an important indicator of overall
market performance which would be more beneficial when agricultural
markets are well integrated. In addition, farmers can have good
bargaining power to negotiate for better price in this situation
[Dagher, et al. (1991)]. It has been noted that well integrated markets
provide risk less profit opportunities for spatial traders and better
bargaining power to negotiate better price for their produce [Baulch
(1997); Goodwin (2001)]. In case markets are well integrated, government
can stabilise price in one market and rely on arbitrage to produce
similar outcome in other distinct markets reducing the cost of
stabilising. Moreover with market integration, price signals and
informations are fully transmitted among the markets and to the growers
and form a base of important policy implications [Basu (2006)].
One of the major factors affecting the efficiency of resource
allocation is how strongly the markets are integrated. The latter is a
situation in which prices of commodities move together and the extent to
which a price change in one market is transferred to another [Harris
(1979); Monke (1984); Goodwin (1991); Dahlgran (1992)]. (1)
There are different levels of agricultural markets. The
participation of farmers at a particular market-level depends on the
marketable surplus he holds after retaining wheat for their domestic
consumption, feed, seed and labour charges for the force working in
their fields. The marketable surplus of wheat passes through different
channels before going to end consumers in the form of grain or flour
which are shown in the following Figure 1.
The increase in farm productivity is likely to alter the
environment within which an exchange between the farmers and the traders
take place at different market levels. In this way, these markets can be
divided mainly in to three kinds; village markets, primary wholesale
markets and terminal markets.
[FIGURE 1 OMITTED]
The village markets are situated close to farm gate and in some
cases at some specified places where farmers and local traders called
'beoparis' meet regularly to bargain. The 'beoparis'
usually purchase the produce from the farmers directly from these
markets and sell it city markets to get some profit. According to an
estimate about 50 percent of the surplus is sold in these markets
[Kurosaki (1996)]. Cheating of farmers occurs in these markets by
excessive deduction on account of impurities and under weighing etc.
However, due to increase in transport facilities, these markets are
loosing their importance in these days.
Primary wholesale markets which are entirely different from village
markets usually located in district towns and are the main assembly
points for the marketable surplus from the nearby areas. Commodity
brought here by farmers and village 'beoparis' traders is sold
to others through commission agents called 'arhti'-middlemen
who is a wholesaler as well as an agent of traders from other markets
and buys most of the product brought there. These markets are situated
in city areas and have modern facilities such as phone, fax and
transport. Market Committee controls the functions of these markets and
keeps the record. The farmers get better prices here than village
markets as prices are somewhat competitive here.
The third kind of markets is terminal markets, which are situated
in large urban/economic centres like Karachi, Quetta and Rawalpindi. The
marketable surplus which is not absorbed by village or primary markets
is traded at the terminal markets. Wholesalers (pacca arhti) work in
these markets and supply food grains to millers and to retailers as
well. The traders in these markets buy directly from other markets
through their agents. Most of these markets are well equipped with
modern facilities and some of them are interlinked internationally.
In addition to these three main marketing systems, other practice
is done by extremely small farmers, having very small income. These
farmers get commodities for their daily use (including grocery items) in
advance from the village shopkeepers. Major portion of their harvest go
to these shopkeepers in exchange at the time of harvest. As a result,
the small farmers are being black mailed and not given full price of
their produce. In some other cases, small vendors exchange their goods
with agriculture produce in the villages on barter system. They exchange
fruits, vegetables and other small items of daily use with grain; the
latter valued at a very nominal price.
Presently, the agriculture markets in Pakistan are rather complex.
These problems are likely to become more complex, because of a
tremendous increase in urban population and in per capita income which
will tend to increase the demand for food in general and for quality
food in particular. Wheat is one of the main parts of food, having
contribution of 14.4 percent to value added in agriculture and 3 percent
to GDP of Pakistan with a strong politic-socioeconomic importance in
society of Pakistan. Punjab plays an important role as 82 percent of
total wheat grown in Pakistan is produced here and 76 percent of the
total area of Pakistan is under cultivation of wheat in Punjab which
needs a comprehensive study to increase wheat productivity where as only
a few studies have been carried out to test the market efficiency
including Qureshi (1974), Muhammad (1977), Cornelisse (1984) and Tahir
and Riaz (1997).
The present study fills the gap by analysing the performance of
wheat markets in Punjab using monthly data for the period from 1980 to
2006. Therefore, the specific objective of this paper is to analyse
wheat market integration in the long-run in Punjab, Pakistan and to
suggest some policy implications.
Following Ravallion (1986) concept of "Radial
Configuration" as presented in Figure 2, we selected Lahore as the
central market and Gujranwala, Sialkot, Gujrat, Faisalabad and Sargodha
as feeder markets for testing market integration. All of these markets
of different sizes lie in wheat growing areas of Punjab having
sufficient surplus wheat which is being transported as the time of
shortage into other markets. Lahore is selected as the central market
being the biggest city of Punjab, having 80 percent of its population in
the urban area forming the largest consumption centre, while the other
cities comprise mainly on rural population releasing reasonable wheat
surplus for Lahore.
[FIGURE 2 OMITTED]
The paper is organised as follows. Methodology has been explained
in Section 2. Next Section 3 examines whether different wheat markets
are efficient. Section 4 offers conclusion as well as policy
implications.
2. METHODOLOGY
The earlier studies used static techniques for analyses such as
correlation and regression for measuring spatial market integration
where bivariate correlation or regression coefficients are estimated
between the time series of the spot prices for identical goods or
bundles of goods at different markets [Lele (1971)]. These techniques
are criticised and rejected due to their static nature and inferences
drawn from correlation coefficients and regression coefficient are not
robust since these methodologies do not explore the time series
properties of the data as the time series of prices could be affected by
the shared dynamic seasonal pattern or the price of the third commodity
traded in the co-market. Therefore, there was a possibility of obtaining
high correlation/regression coefficient close to unity leading to market
integration even if the markets were isolated [Tahir and Raiz (1997)].
To overcome the earlier problems, Ravallion (1986) developed a dynamic
model introducing the concept of a reference market serving as a
"hub" which is a dominant market in a radial structure of
surrounding markets, so called feeder markets assuming that a price
shock originated in one market could effect the other market with a lag
and thus bringing dynamism in the system instead of sticky type of
situation [Tahir and Riaz (1997)]. In addition, this method allows us to
control seasonality and to capture some more informations from the same
data which was used in traditional models [Tahir and Raiz (1997)].
Although Ravallion (1986) model captures dynamism of the system and
provides an improved technique to researchers, yet this methodology
faces many short comings. This model measures the long run market
integration, but the short run dynamics is absent here [Sexton, et al.
(1991)]. In addition, the problem of multicollinearity exists there and
the estimates are also insufficient to measure market integration by
this method [Ravallion (1986); Basu (2006)]. This dynasim in the system
is captured by latest technologies called co-integration techniques
introduced during 1980s which covers a lot of deficiencies of previous
methods and also measure market integration [Baluch (1997); Asche, et
al. (1999); Dawson and Dey (2002)]. Many other researchers like Ardeni
(1989), Goodwin and Schroeder (1991), Faminow and Benson (1990), Sexton,
et al. (1991), Baffes (1991), Dahlgram and Blank (1992), Palaskas and
Harris-White (1993), Alexander and Wyeth (1994), Dercon (1995), Moosa
and Razzak (1995), Muwanga (1997), Asche, et al. (1999), Laping (2001),
Goodwin and Nicholas (2001), Narayan, et al. (2004), Sharif, et al.
(2005) and Basu (2006) have used this technique for the analysis of
market integration.
Among different co-integration techniques, Engle and Granger (1987)
technique is useful and suitable test for market integration within two
time series of data [Goodwin and Ted (1989)]. This is a two-step
residual based test involving estimation of the co-integration
regression between one central (exogenous) and some feeding (endogenous)
market [Laping (2001); Basu (2006)]. If individual price series are
found non-stationary (2) after testing by unit root test, the first step
is to estimate OLS regression of first I(1) price series
say[P.sub.t.sup.1], on the second I(1) price series say [P.sub.t.sup.2]
plus error term by the following model:
[P.sub.t.sup.1]= a + b[P.sub.t.sup.2] + [[epsilon].sub.t] (1)
Where [P.sub.t.sup.1] and [P.sub.t.sup.2] are prices of a commodity
in first and second market respectively at time t, [[epsilon].sub.t] is
residual [Baffes (1991)]. If the value of slope coefficient
'b' in the above equation one is 1, the markets are perfectly
integrated and any price shock originated at one market is fully
transmitted to the other market. But in case the slope coefficient is
less than 1, the markets are partially integrated. The second step
involves testing of [[epsilon].sub.t] from co-integration regression
whether it is stationary using ADF test proposed by Engle and Granger
(1987) by estimating from the following equation.
[DELTA][[epsilon].sub.t]=[lambda][[epsilon].sub.t-1] + [[summation over].sup.n.sub.k=2] [[phi].sub.k][DELTA] [[epsilon].sub.t-k] +
[[mu].sub.t] (2)
Where [DELTA] [[epsilon].sub.t]= [[epsilon].sub.t] -
[[epsilon].sub.t-1] and [mu], is the usual error term. If the calculated
t value of [lambda] is less than the critical value provided by Engle
and Granger (1987), the null hypothesis is rejected and two series are
said to be co-integrated which implies that two markets are integrated.
Monthly time series data from 1980-2006 published by the Federal
Bureau of Statistics and Provincial Agriculture Department Lahore is
used to get long run results of market integration.
3. EMPIRICAL RESULTS OF MARKET INTEGRATION
We investigate graphically the relationship between the wheat price
series of Lahore and other five markets (Figures 1-5, Appendix 1). As
can be seen from the figures all the pairs of series are closely moving
together with increasing trend.
Unit Root Test
Unit root tests developed by Dickey and Fuller (1979, 1981) is
applied to investigate the presence of a unit root in individual price
series to diagnose whether the series are non-stationary which is a
pre-requisite to use Engle and Granger test [Engle and Yoo (1987);
Goodwin and Ted (1991)]. All the wheat price series of individual
markets are used in log form for this purpose. We compare the ADF
t-statistics with values of Mac Kinnon (1991). Results of unit root test
at level and at first difference are shown in Table 1.
The Augmented Dickey Fuller (ADF) statistics at levels of prices in
wheat markets at Lahore, Gujranwala, Faisalabad, Gujrat, Sialkot and
Sargodha do not exceed the critical values of -3.42 at 5 percent
significance level. However, after taking first difference of each of
the variable, the ADF statistics of these variables are higher that the
critical values. Therefore, we conclude that the price series in each of
the wheat markets under study are non-stationary i.e. integrated of
order one i.e. I(1).
Testing of Long-run Marketing Integration
We estimate the long-run relationship between prices of different
wheat markets including Lahore (L), as central market and five other
markets namely Faisalabad (F), Sargodha (Sg), Sialkot (St), Gujranwala
(Gu), and Gujrat (Gt) as feeder markets. There are five different
pair-wise relationships indicating the combination of Lahore-Faisalabad
(L-F), Lahore-Sargodha (L-Sg), Lahore-Gujrat (L-Gt), Lahore-Sialkot
(L-St) and Lahore-Gujranwala (L-Gu). The results of analysis between
Lahore and five surrounding markets are shown in Table 2.
Test for Co-integration
The ADF statistics for all pairs of markets as shown in Table 2
confirms that there exists co-integration between these as the null
hypothesis of unit root on the residuals for these, pairs is rejected
easily. It means that there is co-movement (integration) between all
pairs of markets and now we can test the degree of market integration
between the market pairs one by one.
Lahore-Faisalabad (L-F)
Analysis of market integration indicates that the slop coefficient
of wheat markets of Lahore and Faisalabad is almost 1 which implies that
there is a perfect market integration between these two markets. LOP
also exists. It also imply that Law of One Price also exist between them
indicating that any price shock originated at Lahore market is fully
reflected at Faisalabad market. The reason behind this is that Lahore
which is the biggest consumption centre in the area is well connected to
Faisalabad by road and rail. A lot of passengers are travelling daily
between these two cities for their daily business and jobs and thus have
close economic and cultural similarities in addition to a lot of
information flows between these two cities.
Lahore-Gujranwala (L-Gu)
It is clear from the results shown Table 2 that slope coefficient
is equal to 1, indicating perfect market integration between these two
markets. The reason for this result is that Gujranwala is located only
35 miles from Lahore on G.T. Road and became almost a part of Lahore and
a lot of people go to Lahore and come back to Gujranwala after their
daily business causing a good flow of informations and similar social
environment. In addition both the markets are also well connected with
each other with road and rail and surplus wheat from Gujranwala is
easily transported to Lahore at the time of need in Lahore.
Lahore-Sargodha (L-Sg)
Result of market integration between Lahore and Sargodha indicates
that there is no indication of perfect market integration as the value
of slope coefficient is less than 1. So, both the markets are partially
integrated to the extent of 83 percent as Sargodha is connected to
Lahore by road having 135 miles. Surplus wheat from Sargodha is sent to
other near market like Faisalabad than to Lahore due to long distance
and more transportation cost. In addition, price information from Lahore
cannot be fully transmitted to Sargodha due to long distance and
different socioeconomic conditions of both the cities.
Lahore-Gujrat (L-Gt)
Looking at the results in Table 2 it emerges that slope coefficient
is less than 1 showing no indication of perfect market integration
rather the markets are partially integrated to the extent of 77 percent.
Insignificance of intercept term indicates no role of transaction cost
between the markets. However, there are other factors that may be
important for partial market integration. Gujrat is situated on GT road
to the north of Lahore at a distance of 70 miles and Gujranwala lies
between Lahore and Gujrat on G.T. Road may dilute the effect of any
price shock originated from Lahore market to Gujrat market. It may also
be possible that Gujrat may support the other big market of Punjab like
Rawalpindi instead of Lahore which may have more impact on the
agriculture market of Gujrat. In addition, Gujrat is in rice growing
belt and it may not be able to produce surplus wheat to be sent to
Lahore.
Lahore-Sialkot (L-St)
It is revealed that both the markets are partially integrated to
the extent of 82 percent because the value of slope coefficient is less
than 1. The reason for this result may be that Lahore is not directly
linked with Sialkot but via Gujranwala which is on GT road, while
Sialkot is off GT road at a distance of 70 miles from Lahore and 30
miles from Gujranwala. The other reason may be because its economy is
not mainly based on agriculture but on export of surgical instruments and sports goods and it also lies in the rice growing area thus
producing less wheat surplus. The situation here is very much similar to
as in the case of Lahore and Gujrat.
4. CONCLUSION
Spatial market integration is tested in different wheat markets in
Northern Punjab which are spatially segregated from each other. We find
that all these price series are non-stationary by applying Unit root
test for each market. The Engle and Granger test of co-integration is
applied to analyse long-run market integration between the central
market of Lahore and 5 feeder markets namely Faisalabad, Sargodha,
Gujrat, Gujranwala and Sialkot. It emerges from the analyses that the
market pairs of Lahore-Faisalabad and Lahore-Gujranwala are perfectly
integrated with each other in the long run because of direct and better
road and rail link and common socio-economic culture. In addition, a lot
of people of these localities travel daily between these centers forming
better flow of information. This strong relationship between these
markets also exist because most of the trade takes place within these
markets realising Lahore having pivotal role being the biggest
consumption centre of the area. The pairs of Lahore-Sargodha,
Lahore-Gujrat, and Lahore-Sialkot markets are partially integrated
having some what a long distance and different socioeconomic conditions
between them and lesser information flow. These pairs of markets do not
have any direct road and rail link for transporting the commodities. The
present study reveals that government should develop infrastructure,
especially roads and rails and improve flow of informations. In addition
expansion and construction of transportation system is accorded
priority.
APPENDIX I
[FIGURE 1 OMITTED]
[FIGURE 2 OMITTED]
[FIGURE 3 OMITTED]
[FIGURE 4 OMITTED]
[FIGURE 5 OMITTED]
Comments
(1) The study has used long-term historical data. But the
integration we study is not for the long run (in the future). Revising
of the title of the paper is suggested.
(2) The discussion of the integration is focused on the distance,
but recommendation come on the infrastructure.
(3) I suggest to discuss the market integration on the basis of
decision variables instead of the geographic variables that we can not
change.
(4) The paper can be revised before publication, taking into
account the marketing information system, relationships and
communication among the traders, number of middlemen, and market
efficiency.
Krishna Prasad Pant
NARDF, Kathmandu,
Nepal.
REFERENCES
Ahmad, Munir (2003) Agricultural Product Markets in Pakistan.
Pakistan Institute of Development Economics, Islamabad. (Draft Report.)
Alexander, and J. Wyeth (1994) Operations of Agricultural Wholesale
Markets. Asian Productivity Organisation, Japan.
Ardeni, Pier Giorgio (1989) Does the Law of One Price Really Hold
for Commodity Prices? American Journal of Agricultural Economics 71,
661-669.
Asche, Frank, Helge Bremnes, and Cathy R. Wessells (1999) Product
Aggregation, Market Integration, and Relationship between Prices: An
Application to World Salmon Markets. American Journal of Agricultural
Economics 81, 568-581.
Baffes, John (1991) Some Further Evidence on the Law of One Price:
The Law of One Price Still Holds. American Journal of Agricultural
Economics 73, 1264-1273.
Bale, M. and Lutz E. (1981) Price Distortions in Agriculture and
their Effects: An International Comparison. American Journal of
Agricultural Economic 63, 8-22.
Basu, Jyotish Parkash (2006) Cointegration and Market Integration:
An Application to the Potato Markets in the Rural West Bengal, India.
International Association of Agricultural Economist Conference, Gold
Coast, Australia, August, 12-18.
Baulch. Bob (1997) Transfer Costs, Spatial Arbitrage, and Testing
for Food Market Integration. American Journal of Agricultural Economics
79, 477-487.
Buccola, S. T. (1985) Pricing Efficiency in Centralised and
Non-centralised Markets. American Journal of Agricultural Economics
583-590.
Cornelisse, P. A. (1984) Wheat Market Flows in the Punjab. The
Pakistan Development Review 23:1, 65-80.
Dagher, Magid A., Ralph D. Chirsty, and Patricia E. McLean-Meyinsse
(1991) Limited Resource Farmers and the Marketing System. American
Journal of Agriculture Economics 1485-1489.
Dahlgran, Roger A. and Steven C. Blank (1992) Evaluating the
Integration of Contiguous Discontinuous Markets. American Journal of
Agricultural Economics 72, 469-479.
Dawson, P. J. and P. K. Dey (2002) Testing for the Law of One
Price: Rice Market Integration in Bangladesh. Journal of International
Development 14, 473-484.
Dercon, S. (1995) On Market Integration and Liberalisation: Method
and Application to Ethopia. Journal of Development Studies 32: (Oct).
Dicky, D. A. and W. A. Fuller (1979) Distribution of the Estimation
for Autoregressive Time Series with a Unit Root. Journal of American
Statistical Association 74, 427-43.
Dicky, D. A. and W. A. Fuller (1981) Likelihood Ratio Statistics
for Autoregressive Time Series withen a Unit Root. Journal of American
Statistical Association 49, 1057-1072.
Eengle, Robert F. and Byung Sam Yoo (1987) Forecasting and Testing
Co-integrating System. Journal of Econometrics 35, 143-159.
Engle, Robert F. and C. W. J. Granger (1987) Co-integration and
Error Correction: Representation, Estimation and Testing. Econometrica
55, 255-276.
Faminow, Merle. D. and Bruce L. Benson (1990) Integration of
Spatial Markets. American Journal of Agricultural Economics 72, 49-62.
FAO (2000) Agricultural Strategies for the First Decade of New
Millennium. PARC, MINFAL, Islamabad.
Findlay, Ronald and Kevin H. O'Rourke (2001) Commodity Market
Integration; 1599-2000. National Bureau of Economic Research, Cambridge.
(Working Paper No. 8579.)
Gonzalez-Rivera, Gloria and Steven M. Helfand (2001) The Extent,
Pattern, and Degree of Market International: A Multivariate Approach for
the Brazillian Rice Market. American Journal of Agricultural Economics
576-592.
Goodwin, B. K. and Ted C. Schroeder (1991) Co-integration Tests and
Spatial Linkages in Regional Cattle Markets. American Journal of
Agricultural Economics 73, 452-464.
Goodwin, Barry K. and Nicholas E. Piggott (2001) Spatial Market
Integration in the Presence of Threshold Effects. American Journal
Agricultural Economics 83:2, 302-317.
Granger, C. W. J. (1969) Investigating Causal Relations by
Econometric Models and Cross-Spectral Methods. Econometrica 424.
Hariss, B. (1979) There is Method in My Madness: Or is it Vice
Versa? Measuring Agricultural Marketing Performance. Food Research
Institute Studies 17, 197-218.
Iqbal, Muhammad (1989) Summary of Findings; Marketing Farm Products
in Asia and the Pacific. Asian Productivity Organisation 1-21.
Kurosaki, T. (1996) Government Interventions, Market Integration
and Price Risk in Pakistan's Punjab. The Pakistan Development
Review 35:2, 129-144.
Laping, W. U. (2001) Integration of China's Major Agricultural
Product Markets. down loaded document.
Lele, U. J. (1971) Food Grain Market in India: Private
Participation and Public Policy. Ithaca, New York: Cornell University Press.
McNew K. and P. L. Fackler (1996) Testing Market Equilibrium: Is
Cointegration Informative? Agricultural Research Economics 22, 191-207.
Monke, Eric and Todd Petzel (1984) Market Integration: An
Application to International Trade in Cotton. American Journal of
Agricultural Economics 66, 481-487.
Moosa, Imad A. and Razzaque H. Bhatti (1995) Are Australian and New
Zealand Markets Integrated; Evidence from RIP Test. Journal of Economic
Integration 10:4, 415-433.
MacKinnon, J. G. (1991) Critical Values for Co-integration Tests.
In R. F. Engle and C. W. J. Granger (eds.) Long-run Economic
Relationships. Oxford University Press, 267-276.
Muhammad, Faiz (1977) Pricing Efficiency in Agriculture Markets in
Pakistan. Pakistan Institute of Development Economics, Islamabad
(Research Report No. 106.)
Muhammand, Faiz (1985) Farm Prices and Green Revolution: Some
Reflections on the Performance of Private Agricultural Markets in
Pakistan. The Pakistan Development Review 24: 2, 103-123.
Muwanga; Gertrude S. and Donald L. Snyder (1997) Market Integration
and Law of One Price: Case Study of Selected Feeder Cattle Markets.
Economic Research Institute (Study Paper ER1 No. 97-110.)
Narayan, Paresh Kumar and Russell Smyth (2004) Temporal Causality and the Dynamics of Exports, Human Capital and Real Income in China.
International Journal of Applied Economics 1:1, 24-45.
Pakistan, Government of (Various Issues) Agricultural Statistics of
Pakistan. Islamabad, Ministry of Food, Agriculture and Livestock,
Economic Wing
Pakistan, Government of (Various Issues) Economic Survey.
Islamabad, Finance Division, Economic Advisor's Wing.
Palaskas, T. B., and B. Harriss-White (1993) Testing Market
Integration: New Approaches with Case Material from the West Bengal Food
Economy. Journal of Development Studies 30, 1-57.
Qureshi, Sarfraz K. (1974) The Performance of Village Markets for
Agricultural Produce: A Case Study of Pakistan. The Pakistan Development
Review 8:3,280-307.
Ravallion, Martin (1986) Testing Market Integration. American
Journal of Agricultural Economics 102-109.
Sexton, Richard J., Catherine L. Kling, and H. F. Carman (1991)
Market Integration, Efficiency of Arbitrage and Imperfect Competition:
Methodology and Application to U.S. Celery. American Journal of
Agricultural Economics 73, 568-580.
Sharif, Muhammad, Umer Farooq and Waqar Malik (2005) Citrus
Marketing in Punjab: Constraints and Potentials for Improvement. The
Pakistan Development Review 44:4, 673-94.
Tahir, Zubair and Khalid Riaz (1997) Integration of Agricultural
Commodities Market in Punjab. The Pakistan Development Review 36:3,
241-262.
Timmer, C. Peter (1986) Getting Prices Right. Ithaca and London:
Connell University Press.
(1) Findlay (2001) appraised this situation as "price
convergence is the best measure of market integration". Ravallion
(1986), McNew (1996) and Baulch (1997) consider market integration a
situation in which trade occurs between two markets and there is an
arbitrage condition in presence of the transaction cost. Gonzalez (2001)
was of the view that market integration some how relates to the flow of
goods and informations across space, time and form.
(2) Test for non-stationary of price series are applied by using
unit root test. To understand this test let us consider simple
univariate model as [P.sub.t] = [alpha] [P.sub.t-1] + [[epsilon].sub.t],
where [P.sub.t] is a price series and 1 + [[epsilon].sub.t], is usual
error term. The [alpha] is parameter to be estimated. If estimated
[alpha] is less than one, the price series is stationary. And in case
[alpha] is greater than one, the price series is said to be explosive
but in case a is equal to one, the price series is said to be
non-stationery (difference stationery, Random walk) means that the mean,
variance and covariance of the series are not independent of time and
there is a presence of unit root in that series which can change the
long run trend of the process equal to unity. In the terminology of
Engle and Granger (1987), a time series which is stationary after taking
difference first time is denoted by I(1) have a unit root while I(0) is
called stationary at level.
Muhammad Sarwar Zahid <sarwarzahid@yahoo.co.uk> is Deputy
Chief, Planning and Development Division, Government of Pakistan,
Islamabad, Abdul Qayyum <registrar@pide.org.pk> is Professor,
Pakistan Institute of Development Economics, Islamabad. Wasim Shahid
Malik <wmalik11@yahoo.com> is Research Associate at the Pakistan
Institute of Development Economics, Islamabad.
Table 1
Unit Root at Level and at First Difference
ADF Stat. At
Variables ADF Stat. at Levels First Difference Result
Lahore (l) -2.64 -5.56 I(1)
Faisalabad (f) -2.75 -5.45 I(1)
Gujrat (gt) -2.38 -4.92 I(1)
Gujranwala(gu) -1.98 -5.36 I(1)
Sialkot (st) -2.63 -5.33 I(1)
Sargodha (sg) -2.60 -5.80 I(1)
[Critical value; -3.42 and -2.87].
Table 2
Co-integration Analysis of Central with Five Feeder Markets
Sr. No. Variables Intercept Coefficient ADF-stats
1 L-F 0.09 0.99 -4.261
(0.44) (0.00)
2 L-Gu 0.156 0.93 -3.818
(0.176) (0.00)
3 L-Sg 0.72 0.83 -4.262
(0.00) (0.00)
4 L-Gt 0.83 0.77 -4.57
(0.00) (0.00)
5 L-St 0.69 0.82 -3.62
(0.00) (0.00)
Sr. No. Adjusted [R.sup.2] S.E.
1 0.996 0.044
2 0.99 0.044
3 0.996 0.044
4 0.99 0.046
5 0.99 0.057
[Critical Values; (3.8; 1 percent), (3.5; 5 percent), (3.37;
10 percent)].