Agrekon, Vol 33, No. 4(December 1994) Nuppenau

REGIONAL TRADE AND PRICING OF MAIZE IN SOUTHERN AFRICA

E.-A. Nuppenau Institutfuer Agrarokonomie, University ofKiel, Germany

This paper discusses the potential for intra-regional trade and sub-regional adjustment in the maize economy of the four SADC-countries Botswana, Malawi, Zambia, and additionally South Africa. Sub-regional adjustments in supply, demand, prices and trade patterns are analysed employing a spatial partial equilibrium model. For the regional staple food product, maize, it can be shown that trade contributes to cost-minimal procurement and distribution of food in the region. Despite of a current degree of self-sufficiency of around one hundred percent in any of the countries (Malawi, Zambia and Zimbabwe)trade with a neighboring country would occur. Furthermore, South Africa would sell considerable amounts of maize to Southern Zimbabwe. Furthermore, the implications of drought for the maize economy are investigated.

1. Introduction that intra-regional trade should be investigated as an option for improving food security. Hence, this contri- Regional Trade in agricultural products between bution will additionally simulate a situation where neighboring countries is rare in Southern Africa. Due to drought effects regional production, trade and pricing. In government regulations on international and intra- such simulations it can be investigated whether South regional movements of food stuffs, trade in agricultural Africa can play a major role in the provision of regional commodities is limited to special products, only. Espe- food security. cially, basic food stuffs such as maize are heavily go- vernment controlled. For example, in Malawi, Zambia The paper is organized in three sections. First, the and Zimbabwe government still set prices for basic empirical background for calibrating the model will be foods and run marketing boards, though already with a discussed. This discussion will enable the reader to get reduced mandate. In principle, foreign trade in maize is a broader understanding of regional surplus and deficit still government determined. Governments follow diffe- locations in the five countries of investigation rent strategies of autarky in food markets in order to (Botswana, Malawi, South Africa, Zambia and prevent their populations from becoming dependent on Zimbabwe). Second, a brief introduction to major foreign markets. Contrary to that practice, there is evi- features of the model applied will be provided. This dence that these countries could engage in considerable section serves basically as a tool for understanding the trade in agricultural commodities with each other (Koes- results. Third, results from a baseline scenario of ter, 1990). However, recently most countries in the liberalized trade and results of a drought scenario will Southern African region have taken measures to libe- be presented. Both scenarios (liberalized trade in a ralize their economies. Furthermore, the developments normal year and in a drought year) focus on trade in South Africa have open the windows for new pros- pattern and regional price differences as expected for pects in trade, even in basic foods. It is the objective of the extended SADC region. this study, to show how trade between neighboring countries in Southern Africa (Botswana, Malawi, South 2. Empirical background Africa, Zambia and Zimbabwe) would change their maize economies. Specifically, the paper focuses on The empirical background, which constitutes surpluses regional prices and will show how world market prices and deficits according to respective sub-regions for internally determine regional pricing in Southern Africa. Botswana, Malawi, South Africa, Zambia, and Zimbabwe has already been described (for Malawi, This contribution can be seen as an attempt to quantify Zambia and Zimbabwe see Nuppenau, 1993) or drawn the effects of the introduction of liberalized maize trade from recent statistics (for Botswana as on region and in the SADC region. Obviously, liberalizing trade South Africa by newly established provinces including requires changes in the institutional settings. For homelands see Directorate of Agricultural Information, example, if private traders could assume responsibilities 1994). Diagram 1 shows the baseline of sub-regional which are currently borne by parastatals and marketing product balances as been used in this study. Figures are boards, regional prices are a prerequisite. Liberalization derived from an average of 1985, 1986, and 1987 crop would lead to price differences which are the engine of years on provincial levels for Malawi, Zambia, and arbitrage and this regional trade. Zimbabwe. Moreover, these figures have been adjusted to 1991 and 1993 national production and consumption Since drought is prevalent in the region, protecting figures for these countries as published by the USDA national populations from food shortages is a major agricultural commodity statistics (USDA, 1994). concern. Means of increasing food security are Deliberately, the year 1992 has been excluded due to carry-over stock which in Zimbabwe, for example, have the prevalent drought in the region. reached the level of one year's consumption or 1.2 million tons in some years. Since such stocks are very Sub-regional supply and demand figures are used as costly means of insurance, other measures to ensure bench marks in the functional approach. Assuming that food security such as trade and reduced stock-piling may consumers and producers have decided on these figures, become simultaneous options in the future. Govern- linear supply and demand functions can be constructed. ments in the region are becoming increasingly aware In doing so additional information is required from that autarky policies place heavy burdens on government prevalent prices supply and demand elasticities, finance, immobilize capital permanently, and slow down respectively. This approach completes the behavioral development in other sectors. Koester (1986) suggests part of the model.

175 Agrekon, Vol 33, No. 4(December 1994) Nuppenau

Tanzania

Zaire 96 1 951 I 172 1 Northern v A 304 Not th,rn

266

Angola Coppe belt awi

349 I Centro, Centro!

750 t I Lusaka I 481 1 Mos onolond !Southern I Western I Sou hern I Central

133 1 Namibia Zirnba 44 I 103 242 I Midlands

Motobelelond North lAonic I ilmj Bulowoyo

Mo1obelelon 623$ Soulh Movingo

Botswana Tr.n5vogl Northern

lronsvoot E03(ern 235 Swaziland

547 I

Kwo Zulu Cope Northern I Orange Natal I freeslote 402 Lesotho So h 43 1 Afri

8 60 4 70 Production I Cope Wesiern I rA Consumption I Cope lownl

Diagram 1: Regional Deficit and Surplus by Province in the four SADC-Countries and South Africa (in 1000t)

Since no really reliable elasticities on a sub-regional 1990s. Because of the crisis in the transport systems level have been reported so far, standard values are which has become more severe, actual financial costs assumed.Throughout, the paper assumes a demand may be even higher. New model runs might be elasticity of -0.4 and a supply elasticity of 1.2 for appropriate with improved data. However, the commercialized sub-regions. For communal or informations is not available yet and a conservative peasant-dominated sub-regions an elasticity of 0.8 has strategy should be to stick to published data. South been applied for any sub-region. These figures coincide African and Botswana transport costs assume back- with figures from a study of Buccola and Sukume loading activities while Malawi, Zambia and Zimbabwe (1987) who report for Zimbabwe a global demand transport costs are directly drawn from medium values elasticity of -0.4 and a supply elasticity of 1.0 for of Louis Burger (1986). Table 1 shows major transport national supply. Respective nominal pan-territorial links and the corresponding transport costs. However, prices have been US$ 71 in Malawi, US$ 110 in these data only provides the frame for an extended Zimbabwe, and US$ 133 in Zambia (Valdes and matrix which links, in principle, each individual source Thomas, 1990). South African prices are reported on of the commodity with its corresponding target region. provincal level according to statistical information from (Directorate of Agricultural Information and Van Zyl, 3. Model-building 1994). These information are prerequisites for the design of sub-regional supply and demand functions. To begin with a description of the formal framework Transport costs are drawn from an estimation of Louis employed, a spatial equilibrium model of the type that is Burger (1986) which seems to be a slight under- well established in the economic literature has been estimation of the situation in the late 1980s and early used.

176 Agrekon, Vol 33, No. 4(December 1994) Nuppenau Table 1: Trans ort Routes and Costs between Provinces From: 'To: US-$/t Malawi: '

I Northern (Chilumba) Central(Lilongwe) 35.70 II Central(Lilongwe) Southern (Blantyre) 24.50 III Northern(Chilumba) Northern Zambia(Kasama) 28.00 IV Central(Lilongwe) Eastern Zambia(Chipata) 12.70 V Southern(Blantyre) Mashonaland East(Nyamapanda) 23.90 , Zambia:

VI Northern(Kasama) Central(Kapiri Mposhi) 40.50 VII Central (Kapiri Mposhi) Lusaka 22.20 VIII Central (Kapiri Mposhi) Luapula(Mansa) 29.80 IX Copperbelt(Ndola) Central (Kapiri Mposhi) 17.00 X North Western (Solwezi) Copperbelt(Ndola) 12.50 XI Western(Mongu) Lusaka 30.50 XII Southern (Livingstone) Lusaka 54.70 XIII Eastern (Chipata) Lusaka 54.70

Zimbabwe:

XIV Mashonaland West(Lions Den) Lusaka 32.80 XV Mashonaland West(Lions Den) 15.80 XVI Mashonaland Central() Harare 4.35 XVII Mashonaland East(Nyamapanda) Harare 21.40 XVIII Midlands() Harare 19.00 XIX Midlands(Gweru) 16.00 XX Zambia Southern (Livingstone) Matabeland North() 9.70 XXI North(Hwange) Bulawayo 32.90 )0(11 Matabeleland South (Belt Br.) Bulawayo 27.90 XXIII Midlands(Gweru) (Masvingo) 10.35 XXIV Masvingo(Masvingo) Manicaland () 9.20 XXV Manicaland (Mutare) Harare 6.50 ,O(VI Bulawayo Orange Free State (Bloemfontein) 36.90 XXVII Manicaland (Mutare) Mozambique Port(Beira) 27.00 , South Africa:

XXIX Durban Johannesburg 31.00 XXX Cape Town Cape Province(Worcester) 8.00 X>aI Cape Province (Worcester) Northern Cape(Upington) 25.50 XXXII Cape Province (Worcester) Eastern Cape(East London) 22.00 =CHI Cape Province (Worcester) Orange Free State (Bloemfontein) 21.00 XXXIV Northern Cape (Upington) Orange Free State(Bloemfontein) 12.50 30CXV Eastern Cape(East London) Orange Free State (Bloemfontein) 14.50 XXXVI Orange Free State (Bloemfontein) Matabeleland South (Belt Br.) 29.20 30(XVII Orange Free State (Bloemfontein) Kwa Zulu Natal (Pietermaritzburg) 31.70 X,O(VII Orange Free State (Bloemfontein) Transvaal Western (Mafikeng) 14.40 )0C

The pioneering work can be found in Takajama-Judge model is used to simulate stockpiling in the first year in (1971) and the presented mathematical approach is anticipation of a drought in the sub-regional prices and closely linked to Hazell and Norton's (1986) description production levels and costs. The quadratic objective of a sectoral model for investigating spatial market function has been designed according to standard equilibria. Theoretically, the model operates with the approaches documented and applied by Bale and Lutz objective function of maximizing consumer surplus (1981). Demand and supply function are assumed linear minus production, transport, and stock-piling costs. in order to keep the approach as simple as possible. Stock-piling costs are relevant, because a two-year

177 Agrekon, Vol 33, No. 4(December 1994) Nuppenau

Diagram 2: Model Framework to Evaluate Trade Liberalization in a Spatial Equilibrium Model surph,3 sub— regioi co.ntry 1 de‘icit sub— rcgion country 1 surplus sub— regim country 2

prine price A

21 P

2" P

pd 1C pc11 ps11 p slO 111xIntily PC 21 pd,s 20 ps 21 quamily

This may become a problem if large changes occur, but gation of national deficits and surpluses each country may serve as a first order approximation. In its operation beside Botswana (Malawi, South Africa, Zambia, and the model can be described by a simplified diagram Zimbabwe) is self-sufficient in maize in a normal year. (Diagram 1), which comprises three subregions and On contrast to this observation, model results in displaying the initial approach in a normal year. More Diagram 3 shows sub-regional border crossing trade. details on the model are discussed in Nuppenau (1993). In diagram 1 a situation with no price differentiation For example, it would be cheaper for the Zambian capi- between sub-regions in country 1 (pan-territorial tal Lusaka to import it deficits from Zimbabwean pricing) and no price interaction with country 2 is com- Mashonaland West than to ship maize from remoter pared with an alternative situation where transport costs Zambia Southern province (104,000 t) as currently done matter and prices interact via trade between and within under self-sufficiency policy. The same applies to countries. Abolishing pan-territorial pricing in country 1 Western deficit areas of Zimbabwe. Here one would (p10 and p10') and allowing trade between the two expect imports from Zambia-Southern province (60,000t countries, the situation changes to an integrated market to Matabeleland North in a situation of free trade. In or- depicted by the dotted price and quantity lines. Indivi- der to summarize, considerable trade volumes may pre- dual prices p11, p1!' and p20 in the surplus region vail between sub-regions of SADC countries (additio- depend on distance to the deficit region. If country 2's nally between Malawi Central an Zambia Eastern, surplus region is relatively far away, its price level will 44,000t) despite of national self-sufficiency. Concerning be lower than that in country l's surplus sub-region. South Africa's position Western Transvaal would deliver Additionally, the shaded area shows the welfare gains 97,000 t to Bulawayo and 65,000 t to Matabeleland from trade. South due to relatively cheap rail transport through Bot- swana. Obviously, Botswana would receive its deficits From a theoretical point of view the model structure (113,000 t)from the same South African Province. does not change substantially if international trade will be introduced into the model. International trade can be However, introducing trade and transport activities seen as trade with a further sub-regions which happens which finance themselves by charging transport to be characterized by an infinite elastic supply function margins, would imply price differences between or demand function at the world market price. Further- sub-regions. Furthermore, if governments let such price more, a differentiation between fob price and cif prices differences prevail in any sub-regions, we would expect in harbours makes the model more realistic than simple adjustments in production and consumption (not trade modols. depicted) compared to the baseline (Diagram 2). These adjustments will be forced by local price changes. From 4. Results the economic point of view adjustments due to sub-regional price changes reflect marginal production In this section two model runs and their results are costs and consumption preference. Recursively these presented. The presentation depicts a situation with changes may alter sub-regional procurement costs and total trade liberalization in all countries. It starts with a imply changes in trade pattern. normal year and the situation in a drought year will also be presented. The following deliberations on price pattern are based on nominal prices in US$ reflecting the average of the 4.1 Normal year 1985,86 and '87 price level. The results from the trade liberalization model run, with regard to changes in the In order to appreciate potential changes in trade volumes price pattern, are given in Diagram 4. They are and other changes, which occur due to the policy change depicted as relative deviation from US$ 110 which is directed towards trade liberalization, the model results the price prevailing at the port of Beira, Durban and ofDiagram 3 have to be compared with a situation of no Cape Town. border crossing trade. Currently only Botswana regularly imports from South Africa. Due to the aggre- 178 Agrekon, Vol 33, No. 4(December 1994) Nuppenau Diagram 3: Regional Maize Trade in Southern Africa (in 1000t) Tanzania

Zaire

Angola

Mozambique

South Afric

> 300

emu+ 150 — 300 .4. 100 - 150

50 — 100

< 50

The lowest prices in the region will be in the surplus world market prices due to cheap imports from sub-regions of Malawi Northern, Malawi-Central, and Zimbabwe which shows an improvement for consumers. Mashonaland-East, Zimbabwe. Less than 35 p.c. of the Simultaneously, after trade liberalization, the world market price level will only be obtainable by Zimbabwean capital Harare, which is the sub-region of farmers. However, from a redistribution point of view highest population concentration in Zimbabwe, will Malawian losses are small compared to current prices enjoy relative depressed prices of 15 to 25 p.c. below which are already 30 p.c. below world market prices. An the world market price. additional 10 p.c. price drop would be only marginal in Malawi. The opposite applies to Zimbabwean Ma- South Africa, however, will face a decline in prices, shonaland which would incur a considerable price drop which are currently close to world market prices (in due to liberalization, since current prices (1991) are nominal terms, taking the nominal exchange rate). Since approximately at world market prices (converted by the major surplus areas (Orange Free State and Western nominal exchange rate). Transvaal) are in the hinterland, transport costs to Cape Town and Durban will keep prices low in this country. On the other side of the regional price pattern, in a To summarize, the price pattern will be individually normal year, deficit and densely populated sub-regions determined by the relative position towards like the Zambian Copperbelt and Central province of surplus/deficit sub-regions and the ports which have Zambia will have prices being 25 to 35 p.c. or 15 to 25 been assumed to be the sole international trade p.c., respectively, above world market prices. However, opportunity. this is still in range with current pricing in Zambia. Prices in the Zambian capital Lusaka will be close to 179 Agrekon, Vol 33, No. 4(December 1994) Nuppenau

Diagram 4: Pattern of Regional Price Differences (in p.c.) Tan7nrici

Angola

Souihern

Mozo-nbig-le 0

ci 25 ois 35% — 35 b's — 25 % 35 ois % 171 - 25 Ws — '5 % 45 ois 55% — 15 b's — 05% 55 ois % , bi3 5% > 657. 5 bis 15% 15 Vs 25%

4.2 Drought year It is assumed that stocks are built up in the correct anticipation of typical drought conditions. Price As mentioned above drought is a major problem in the differences between the two periods guarantee the SADC region. Since drought has unequal effects on viability of stock holding business. Note, that the supply in the region, regional price structure must adjust question of private versus government stock-piling is not to restore market equilibrium. In the model applied addressed here. Furthermore, it is assumed that here, adjustment takes place in various consumption governments can control prices in urban areas. The areas simultaneously. A crucial question is whether approach is deterministic in the sense that the shortfall trade and/or stock-piling can alleviate production is known in advance and only certain typical drought shortfalls by spreading the effects on more participants. episodes based on past probabilities are investigated. In order to investigate this questions, a two-period model of trade and stock-piling has been designed. In reality, the question of strategic stock-piling involves risk aversion, shortage expectations and other This model adds to the one-period model by simulating interactions which are beyond our limited approach. drought conditions in the second period (for more details see Nuppenau, 1993). Stocks built up in the first The "drought" envisaged may occur with a probability of period are allowed to alleviate shortfalls in the second 16 p.c.. Further details describing the construction of a period anticipated already in the first period. drought simulation are reported in Nuppenau (1990). 188 Agrekon, Vol 33, No. 4(December 1994) Nuppenau

Diagram 5: Regional Price Pattern in the Case of a Severe Drought (in p.c. of world market price) N. Tan7nrin

Zcire

Angola

Moza-nbiwe

1=3

< — 35 % 25 ois 35 % — 35 b's — 25 % 35 ois 45 % Tl — 25 — '5 % pOtt 45 is 55 % — 15 L.'s — 05% ,',1111111 55 ois 65 % 5b,3 > 65% , 5% 5 bis 15% 15 b's 25%

In principle, we are discussing a drought which may Trade quantities associated with the "drought" are occur in 1 year of every 7 years. According to depicted in Diagram 6. The simulation shows that probability theory, obviously, a drought in reality will Zimbabwe contributes 110,000 t more in Lusaka not be exactly the same as a simulated drought. Simply, procurements, but reduces its Matabeleland imports by nobody can exactly predict future production shortfalls 28000 t. It must be mentioned that competitive imports in the case of a drought. Simulations can only display from all ports are part of the puzzle in a free trade fixed points in a continuum of possible effects on situation, but are not chosen in the simulation. Since production shortfalls. Obviously, the choice of particular stocks can be made available as a substitute for external production shortfalls inherits subjective decisions (see trade, procurement of stocks in the first period are a Nuppenau, 1993). As Diagram 5 shows prices will be major component. As Diagram 6 shows stocks of the highest in remote Zambia. Malawi will have still roughly 330,000 t would be procured in Zimbabwe. lower prices than elsewhere in the region, partly due to Furthermore, these stock-piling activities are more stock-piling (see Diagram 6). Zimbabwe's North competitive than additional imports from South Africa. (Mashonaland) will equally enjoy low prices. Stock- As Diagram 6 reveals imports from South Africa to piling is most prevalent in this region. South African Zimbabwe only slightly change. Obviously, these results prices will rise substantially by 50 p.c., but will stay low crucially depend on transport costs and stock-piling compared to the other countries. Zimbabwe's South costs in the model. Hence, from a policy analysis point (Matabeleland) will exhibit a threshold of higher prices of view it makes sense to alter these costs and observe between these low prices down south and lower prices corresponding results. in the middle of the region (Mashonaland).

181 Agrekon, Vol 33, No. 4(December 1994) Nuppenau Diagram 6: Regional Trade Pattern in the Case of a Severe Drought, Second Year (in p.c. from World market price) Tanzania

Zaire 9.2 1

Northern 19.6 1 15,6 1

Copperbell 254.7 t Angola I North Wes.. i alawi

Centrol

43,0 1 lusoko 207.7 1 Western Moshonolond Southern Mr I I soutt.n I mos.onalond Mashonolond W East Namibia ab e 31,9 1 180.4 42 31 Monica Mozambique E:= Midlands Motobelelond North

92.3 1

o1obelelond klosulngo 95.9 I Soul. Botswana

lronsvool Norther n

Tron,vool Coster. 351.6 ,No West Swaziland

South Afric 368.9 Orange F reesl al e Lesotho I Cape Northern I am+ > 300

I Cope Eastern! amm* 150 - 300 111 1 LCope Western •••• 100 - 150

cop. I 4111MMIN1111141110. 50 - 100

< 50

5. Summary without giving preferences for any of the participating groups - consumers, producers, and Diagram 6: In this contribution the potential for intra-regional trade governments in any country-, trade will be part of a and sub-regional adjustment has been investigated for regional strategy of efficient marketing. However, the SADC-countries Botswana, Malawi, Zambia, introducing intra-regional trade, subregional price Zimbabwe and additionally South Africa. Sub-regional differences will emerge reflecting transport costs. These adjustments in supply, demand, and trade patterns are price difference would impose negative distributional determined by changes in sub-regional price patterns consequences especially for consumers in remote areas due to liberalization. Applying a spatial partial of Zambia. equilibrium model of trade liberalization for the regional staple food product, maize, it can be shown that As shown in this contribution, trade liberalization will trade contributes to cost-minimal procurement and alter sub-regional competitiveness for producers. Due to distribution of food in the region. Despite of a current the model design of supply and demand responses degree of self-sufficiency of around one hundred percent consumers and producers adjust to price changes in any of the countries(Malawi, Zambia and Zimbabwe) simultaneously. As expected surplus sub-regions of trade with a neighboring country would occur. Zimbabwean Mashonaland provinces and regionally Furthermore, South Africa would sell considerable remote Malawian provinces will have the lowest prices, amounts of maize to Southern Zimbabwe. whilst Zambian deficit sub-regions like the Copperbelt and Zimbabwean deficit sub-regions in the South-West From a regional welfare point of view neighboring will be confronted with considerably higher prices. countries are better off opening their economies for South Africa will have the closest link to world market maize trade. Assuming regional welfare maximization Agrekon, Vol 33, No. 4(December 1994) Nuppenau

Table 1: Transport Routes and Costs between Provinces From: - To: US-$/t , Malawi:

I Northern (Chilumba) Central(Lilongwe) 35.70 II Central(Lilongwe) Southern (Blantyre) 24.50 III Northern(Chilumba) Northern Zambia(Kasama) 28.00 IV Central(Lilongwe) Eastern Zambia(Chipata) 12.70 V Southern(Blantyre) Mashonaland East(Nyamapanda) 23.90 , Zambia:

VI Northern(Kasama) Central (Kapiri Mposhi) 40.50 VII Central (Kapiri Mposhi) Lusaka 22.20 VIII Central (Kapiri Mposhi) Luapula(Mansa) 29.80 IX Copperbelt(Ndola) Central (Kapiri Mposhi) 17.00 X North Western (Solwezi) Copperbelt(Ndola) 12.50 XI Western(Mongu) Lusaka 30.50 XII Southern (Livingstone) Lusaka 54.70 XIII Eastern (Chipata) Lusaka 54.70 ,

Zimbabwe:

XIV Mashonaland West(Lions Den) Lusaka 32.80 XV Mashonaland West(Lions Den) Harare 15.80 XVI Mashonaland Central(Bindura) Harare 4.35 XVII Mashonaland East(Nyamapanda) Harare 21.40 XVIII Midlands(Gweru) Harare 19.00 XIX Midlands(Gweru) Bulawayo 16.00 >0( Zambia Southern (Livingstone) Matabeland North(Hwange) 9.70 X)(1 Matabeleland North (Hwange) Bulawayo 32.90 XXII Matabeleland South (Beit Br.) Bulawayo 27.90 XXIII Midlands(Gweru) Masvingo(Masvingo) 10.35 XXIV Masvingo(Masvingo) Manicaland (Mutare) 9.20 )0CV Manicaland (Mutare) Harare 6.50 X,CVI Bulawayo Orange Free State (Bloemfontein) 36.90 >0(VII Manicaland (Mutare) Mozambique Port(Beira) 27.00 ,

South Africa:

XXIX Durban Johannesburg 31.00 XXX Cape Town Cape Province (Worcester) 8.00 =CI Cape Province (Worcester) Northern Cape(Upington) 25.50 =CB Cape Province (Worcester) Eastern Cape(East London) 22.00 )00CIII Cape Province (Worcester) Orange Free State (Bloemfontein) 21.00 XXXIV Northern Cape(Upington) Orange Free State(Bloemfontein) 12.50 X,OCV Eastern Cape(East London) Orange Free State (Bloemfontein) 14.50 ,COCV1 Orange Free State (Bloemfontein) Matabeleland South (Beit Br.) 29.20 )00CVII Orange Free State (Bloemfontein) Kwa Zulu Natal (Pietermaritzburg) 31.70 =NH Orange Free State (Bloemfontein) Transvaal Western (Mafikeng) 14.40 >00CIX Pretoria Witwatersrand Kwa Zulu Natal (Pietermaritzburg) 11.70 II Kwa Zulu Natal (Pietermaritzburg) Durban 6.00 III Western Transvaal(Mafikeng) Gaborone(Botswana) 7.60 1111 Western Transvaal(Mafikeng) Bulawayo(Zimbabwe) 22.50 11111 Western Transvaal(Mafikeng) Mashonaland South 27.30 11IV Pretoria Witwatersrand Eastern Transvaal (Belfast) 7.50 IIV Pretoria Witwatersrand Northern Transvaal (Pietersburg) 10.50 IlVI Northern Transvaal (Pietersburg) Matabeleland South 8.50 Ii VII Eastern Transvaal (Belfast) KwaZulu/Natal 12.30 II VII Kwa Zulu Natal (Pietermaritzburg) _ Durban 6.00 Source: Based on Data from L. Berger, Southern Africa Regional Transportation Strategy Evaluator, Database Update (study prepared for U.S.A.I.D., Washington, D.C. 1986)

The pioneering work can be found in Takajama-Judge model is used to simulate stockpiling in the first year in (1971) and the presented mathematical approach is anticipation of a drought in the sub-regional prices and closely linked to Hazell and Norton's (1986) description production levels and costs. The quadratic objective of a sectoral model for investigating spatial market function has been designed according to standard equilibria. Theoretically, the model operates with the approaches documented and applied by Bale and Lutz objective function of maximizing consumer surplus (1981). Demand and supply function are assumed linear minus production, transport, and stock-piling costs. in order to keep the approach as simple as possible. Stock-piling costs are relevant, because a two-year

177 Agrekon, Vol 33, No. 4(December 1994) Nuppenau

Diagram 2: Model Framework to Evaluate Trade Liberalization in a Spatial Equilibrium Model siirpli,s sub— redioi co.ntry 1 deficit si)b— region country 1 surplus sub— region country 2

prine price A

p21

P20

pdic poi poll psi() 111x3ntily PC 21 Pd,S 20 ps 21 quornily

This may become a problem if large changes occur, but gation of national deficits and surpluses each country may serve as a first order approximation. In its operation beside Botswana (Malawi, South Africa, Zambia, and the model can be described by a simplified diagram Zimbabwe) is self-sufficient in maize in a normal year. (Diagram 1), which comprises three subregions and On contrast to this observation, model results in displaying the initial approach in a normal year. More Diagram 3 shows sub-regional border crossing trade. details on the model are discussed in Nuppenau (1993). In diagram 1 a situation with no price differentiation For example, it would be cheaper for the Zambian capi- between sub-regions in country 1 (pan-territorial tal Lusaka to import it deficits from Zimbabwean pricing) and no price interaction with country 2 is com- Mashonaland West than to ship maize from remoter pared with an alternative situation where transport costs Zambia Southern province (104,000 t) as currently done matter and prices interact via trade between and within under self-sufficiency policy. The same applies to countries. Abolishing pan-territorial pricing in country 1 Western deficit areas of Zimbabwe. Here one would (p10 and p10') and allowing trade between the two expect imports from Zambia-Southern province (60,000t countries, the situation changes to an integrated market to Matabeleland North in a situation of free trade. In or- depicted by the dotted price and quantity lines. Indivi- der to summarize, considerable trade volumes may pre- dual prices p11, p1!' and p20 in the surplus region vail between sub-regions of SADC countries (additio- depend on distance to the deficit region. If country 2's nally between Malawi Central an Zambia Eastern, surplus region is relatively far away, its price level will 44,000t) despite of national self-sufficiency. Concerning be lower than that in country l's surplus sub-region. South Africa's position Western Transvaal would deliver Additionally, the shaded area shows the welfare gains 97,000 t to Bulawayo and 65,000 t to Matabeleland from trade. South due to relatively cheap rail transport through Bot- swana. Obviously, Botswana would receive its deficits From a theoretical point of view the model structure (113,000 t) from the same South African Province. does not change substantially if international trade will be introduced into the model. International trade can be However, introducing trade and transport activities seen as trade with a further sub-regions which happens which finance themselves by charging transport to be characterized by an infinite elastic supply function margins, would imply price differences between or demand function at the world market price. Further- sub-regions. Furthermore, if governments let such price more, a differentiation between fob price and cif prices differences prevail in any sub-regions, we would expect in harbours makes the model more realistic than simple adjustments in production and consumption (not trade modols. depicted) compared to the baseline (Diagram 2). These adjustments will be forced by local price changes. From 4. Results the economic point of view adjustments due to sub-regional price changes reflect marginal production In this section two model runs and their results are costs and consumption preference. Recursively these presented. The presentation depicts a situation with changes may alter sub-regional procurement costs and total trade liberalization in all countries. It starts with a imply changes in trade pattern. normal year and the situation in a drought year will also be presented. The following deliberations on price pattern are based on nominal prices in US$ reflecting the average of the 4.1 Normal year 1985,86 and '87 price level. The results from the trade liberalization model run, with regard to changes in the In order to appreciate potential changes in trade volumes price pattern, are given in Diagram 4. They are and other changes, which occur due to the policy change depicted as relative deviation from US$ 110 which is directed towards trade liberalization, the model results the price prevailing at the port of Beira, Durban and of Diagram 3 have to be compared with a situation of no Cape Town. border crossing trade. Currently only Botswana regularly imports from South Africa. Due to the aggre- 178 Agrekon, Vol 33, No. 4(December 1994) Nuppenau Diagram 3: Regional Maize Trade in Southern Africa (in 1000t) Tanzania

Zaire

Angola

Namibia Mozambique

I Beira

Tronsvool

South Afric

177 1

iNN+ > 300

sm.+ 150 — 300

100 — 150

50 — 100

< 50

The lowest prices in the region will be in the surplus world market prices due to cheap imports from sub-regions of Malawi Northern, Malawi-Central, and Zimbabwe which shows an improvement for consumers. Mashonaland-East, Zimbabwe. Less than 35 p.c. of the Simultaneously, after trade liberalization, the world market price level will only be obtainable by Zimbabwean capital Harare, which is the sub-region of farmers. However, from a redistribution point of view highest population concentration in Zimbabwe, will Malawian losses are small compared to current prices enjoy relative depressed prices of 15 to 25 p.c. below which are already 30 p.c. below world market prices. An the world market price. additional 10 p.c. price drop would be only marginal in Malawi. The opposite applies to Zimbabwean Ma- South Africa, however, will face a decline in prices, shonaland which would incur a considerable price drop which are currently close to world market prices (in due to liberalization, since current prices (1991) are nominal terms, taking the nominal exchange rate). approximately Since at world market prices (converted by the major surplus areas (Orange Free State and Western nominal exchange rate). Transvaal) are in the hinterland, transport costs to Cape Town and Durban will keep prices low in this country. On the other side of the regional price pattern, in a To summarize, the price pattern will be individually normal year, deficit and densely populated sub-regions determined by the relative position towards like the Zambian Copperbelt and Central province of surplus/deficit sub-regions and the ports which have Zambia will have prices being 25 to 35 p.c. or 15 to 25 been assumed to be the sole international trade p.c., respectively, above world market prices. However, opportunity. this is still in range with current pricing in Zambia. Prices in the Zambian capital Lusaka will be close to 179 Agrekon, Vol 33, No. 4(December 1994) Nuppenau

Diagram 4: Pattern of Regional Price Differences (in p.c.) Tan7nrin

Zcire

-

Angola

j••-

Soul hero

Mozo-nbiqJe

Bs.,

aziland

Icc.. I ,,,, , , •$ts

< — 35 % 25 ors 35 7. — 35 b's — 25 % 35 ois 45 % F-1 — 25 b's — '5 % .f.tatt 45 ois 55 % — 15 b's — 05 % 55 pis 65 % , '35 bis 5% > 65% cr 5 bis 15% 15 b's 25%

4.2 Drought year It is assumed that stocks are built up in the correct anticipation of typical drought conditions. Price As mentioned above drought is a major problem in the differences between the two periods guarantee the SADC region. Since drought has unequal effects on viability of stock holding business. Note, that the supply in the region, regional price structure must adjust question of private versus government stock-piling is not to restore market equilibrium. In the model applied addressed here. Furthermore, it is assumed that here, adjustment takes place in various consumption governments can control prices in urban areas. The areas simultaneously. A crucial question is whether approach is deterministic in the sense that the shortfall trade and/or stock-piling can alleviate production is known in advance and only certain typical drought shortfalls by spreading the effects on more participants. episodes based on past probabilities are investigated. In order to investigate this questions, a two-period model of trade and stock-piling has been designed. In reality, the question of strategic stock-piling involves risk aversion, shortage expectations and other This model adds to the one-period model by simulating interactions which are beyond our limited approach. drought conditions in the second period (for more details see Nuppenau, 1993). Stocks built up in the first The "drought" envisaged may occur with a probability of period are allowed to alleviate shortfalls in the second 16 p.c.. Further details describing the construction of a period anticipated already in the first period. drought simulation are reported in Nuppenau (1990). 180 Agrekon, Vol 33, No. 4(December 1994) Nuppenau

Diagram 5: Regional Price Pattern in the Case of a Severe Drought (in p.c. of world market price) Tnn7nria

Zcire

Angola wi

74.4.. 41v4 Nami 4** C kr=• Mozio -nbiqJe

13 E=3

Swaziland

< — 35 % 25 ors 35 % — 35 bs — 25 3 RR' 35 ois 45 % 1T1— 25 — '5 % :nte.t 45 ois 55 Lad — 15 ii — 05 % 11111ii 55 Dis 65 7. bi3 5% > 65% 5 bis 15% 15 b.s 25%

In principle, we are discussing a drought which may Trade quantities associated with the "drought" are occur in 1 year of every 7 years. According to depicted in Diagram 6. The simulation shows that probability theory, obviously, a drought in reality will Zimbabwe contributes 110,000 t more in Lusaka not be exactly the same as a simulated drought. Simply, procurements, but reduces its Matabeleland imports by nobody can exactly predict future production shortfalls 28000 t. It must be mentioned that competitive imports in the case of a drought. Simulations can only display from all ports are part of the puzzle in a free trade fixed points in a continuum of possible effects on situation, but are not chosen in the simulation. Since production shortfalls. Obviously, the choice of particular stocks can be made available as a substitute for external production shortfalls inherits subjective decisions (see trade, procurement of stocks in the first period are a Nuppenau, 1993). As Diagram 5 shows prices will be major component. As Diagram 6 shows stocks of the highest in remote Zambia. Malawi will have still roughly 330,000 t would be procured in Zimbabwe. lower prices than elsewhere in the region, partly due to Furthermore, these stock-piling activities are more stock-piling (see Diagram 6). Zimbabwe's North competitive than additional imports from South Africa. (Mashonaland) will equally enjoy low prices. Stock- As Diagram 6 reveals imports from South Africa to piling is most prevalent in this region. South African Zimbabwe only slightly change. Obviously, these results prices will rise substantially by 50 p.c., but will stay low crucially depend on transport costs and stock-piling compared to the other countries. Zimbabwe's South costs in the model. Hence, from a policy analysis point (Matabeleland) will exhibit a threshold of higher prices of view it makes sense to alter these costs and observe between these low prices down south and lower prices corresponding results. in the middle of the region (Mashonaland).

181 Agrekon, Vol 33, No. 4(December 1994) Nuppenau Diagram 6: Regional Trade Pattern in the Case of a Severe Drought, Second Year (in p.c. from World market price) Tanzania

Zaire 3=21.7 5.9 1 I Northern I 19.6 t 15.6

C000erb.ii Angola 254.7 1 alawi I Eastern I

Central

Lusaka Western 8.8 1 1.1ashonaland outhern Cemirol I Southern I washowalahd WI )6; t Namibia ab e Harare 31.9 1 180.4 42 t Mozambique Irlicflands I 1431obeleland North Bulawayo BE4n, I

crtabelelond Soul. Botswana 1371 iron,vool Norther n

306 1 303.1 1

351.6 No„, West Swaziland

South Afric 368.9 1 Orange F reeslate Lesotho Durban I cope Norther n I MN+ > 300

I Cape Eastern I 150 — 300

Cope Western 100 — 150

I cop. I 50 — 100

< 50

5. Summary without giving preferences for any of the participating groups - consumers, producers, and Diagram 6: In this contribution the potential for intra-regional trade governments in any country-, trade will be part of a and sub-regional adjustment has been investigated for regional strategy of efficient marketing. However, the SADC-countries Botswana, Malawi, Zambia, introducing intra-regional trade, subregional price Zimbabwe and additionally South Africa. Sub-regional differences will emerge reflecting transport costs. These adjustments in supply, demand, and trade patterns are price difference would impose negative distributional determined by changes in sub-regional price patterns consequences especially for consumers in remote areas due to liberalization. Applying a spatial partial ofZambia. equilibrium model of trade liberalization for the regional staple food product, maize, it can be shown that As shown in this contribution, trade liberalization will trade contributes to cost-minimal procurement and alter sub-regional competitiveness for producers. Due to distribution of food in the region. Despite of a current the model design of supply and demand responses degree of self-sufficiency of around one hundred percent consumers and producers adjust to price changes in any of the countries(Malawi, Zambia and Zimbabwe) simultaneously. As expected surplus sub-regions of trade with a neighboring country would occur. Zimbabwean Mashonaland provinces and regionally Furthermore, South Africa would sell considerable remote Malawian provinces will have the lowest prices, amounts of maize to Southern Zimbabwe. whilst Zambian deficit sub-regions like the Copperbelt and Zimbabwean deficit sub-regions in the South-West From a regional welfare point of view neighboring will be confronted with considerably higher prices. countries are better off opening their economies for South Africa will have the closest link to world market maize trade. Assuming regional welfare maximization 1 %a Agrekon, Vol 33, No. 4(December 1994) Nuppenau prices being approximately 15 p.c. below world market KOESTER, prices. U.(1986). Regional Cooperation to improve Food Security in Southern and Eastern African Countries. IFPRI-Report No. 53, Washington. Furthermore, an investigation of the effects from a severe drought in the whole region has been conducted KOESTER,U. (1990). Agricultural Trade among assuming free adjustments in sub-regional prices. It was Malawi, Tanzania, Zambia, and Zimbabwe: shown that prices in Zambia will be highest and that -Competitiveness and Potential. Paper prepared Zimbabwe will be a major stock at the -piling area. South request of the World Bank, International African exports to the region Food Policy will not increase. Third Research Institute (IFPR), Washington. country imports do not play an important role in interlinked Southern African maize market. NUPPENAU,E.A. (1993). Price Adjustments and Distributional Consequences References: of Trade in Maize in Malawi, Zambia, and Zimbabwe. In: Valdes, A., Muir- Leresche, K., Agricultural Policy Reforms BALE, M.D., LUTZ, E. (1981). Price Distortions and Regional in Market Integration in Malawi, Zambia and Zimbabwe. Agriculture and their Effects: An International International Food Policy Research Institute (IFPRI) Comparison. "American Journal of Agricultural Washington. Economics", Vol. 63, No. 1:8 -22 TAICAYAMA, T., JUDGE, G.G. (1971). Spatial BUCCOLA, S.T., SUKUME, C. and (1987). Temporal Price and Allocation Models. Amsterdam. Welfare-Optimal Agricultural Policy in Less Developed Economies. Draft of Department of Agricultural and USDA. (1994). Statistical Resource Economics, Data Base on Production, Corvallis, Oregon. Consumption, Trade Version. DIRECTORATE OF AGRICULTURAL INFOR- VALDES, A., THOMAS, M. (1990). MATION.. (1994). South Preliminary Africa, Abstract of estimates of exchange rate misalignment Agricultural Statistics, Pretoria. for Malawi, Zambia, and Zimbabwe. Paper presented for 1FPR/SADCC Policy Workshop "Trade HAZELL, P.B.R., NORTON, in Agricultural R.D. (1986). Products among SADCC countries". Harare. Mathematical Programming for Economic Analysis in Agriculture. New York. VAN Z'YL, J. (1994). Unpublished Mimeo. University of Pretoria, Pretoria.

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