ND AQUACULTURE CRSP 21 22ST ANNUAL TECHNICAL REPORT A MIXED-INTEGER TRANSSHIPMENT MODEL FOR TILAPIA (OREOCHROMIS SP.) MARKETING IN HONDURAS Tenth Work Plan, Marketing and Economic Analysis Research 1A (MEAR1A) Final Report Carlos M. Leyva and Carole R. Engle Aquaculture/Fisheries Center University of Arkansas at Pine Bluff, Pine Bluff, Arkansas Yong-Suhk Wui Department of Business University of Arkansas at Pine Bluff Printed as Submitted ABSTRACT Tilapia production in Honduras has increased in recent years. However, a lack of thorough understanding of domestic markets and coordinated production efforts has hampered the development of a domestic market. This study quantified domestic Honduran marketing costs for tilapia and developed a mixed-integer transshipment mathematical programming model to identify the most profitable marketing alternatives for small- and medium-scale farmers. Of the total marketing costs of $0.07-$0.41/kg, 40-73% were for transportation and 13-30% for packaging, depending upon farm size, location, and specific market targeted. Model results suggested restaurants as primary targets with supplemental production delivered to supermarkets in relative proximity to the selected restaurants. The model selected cities with sufficient restaurant demand to absorb the farm’s total production. Farms with high production levels can take advantage of the reduced transport cost of larger trucks and sell excess product to alternative outlets, whereas small-scale farm volumes were too low to supply markets on a weekly basis. Farms located in the East and South regions had a marketing advantage over farms in other regions due to proximity to the most profitable Distrito Central outlets. To successfully compete for Honduran markets other than the low-priced local open-air markets will require farm sizes greater than 6 ha for a minimum weekly production of 900 kg. INTRODUCTION the ponds. Medium-scale tilapia farmers are commercial producers using semi-intensive production techniques (Green et al. 1994; Teichert-Coddington and Green 1997; Green and Engle 2000). World aquaculture production has increased dramatically in the last several decades. Tilapia is the third most important finfish produced globally with 1,260,000 MT of production reported in 2000 (FAO 2002b). Much of the growth in tilapia production has occurred in developing countries (Lutz 2002). Limited marketing analyses have been done on aquaculture markets in Latin America, but domestic markets for tilapia have developed in Colombia, Mexico, and other countries (Green and Engle 2000; Engle et al. 2001; Fitzsimmons 2000). Surveys of restaurant, supermarket, and open-air market outlets have been conducted in Honduras (Fúnez et al. 2003a, b; Monestime et al. 2003), Nicaragua (Neira and Engle 2003; Engle and Neira 2003 a, b), and Peru (Engle and Neira 2004). Neira et al. (2003) used the Nicaraguan restaurant survey data to identify restaurant types most likely to add tilapia to their menu. Honduras is a Central American country with potential for further development of aquaculture businesses. Tilapia aquaculture in Honduras has experienced remarkable growth due to the combination of its tropical climate, abundant water, and proximity to large international markets. Honduras was the third leading exporter of fresh tilapia fillets to the U.S. in 2003 (Harvey 2004). In addition to the large export companies, there were an estimated 69 small-scale and 12 medium-scale tilapia farmers in Honduras in 2002 (Digepesca 2002). Smallscale farmers commonly use rudimentary production and harvesting techniques to produce fish for home consumption and to sell to family and friends located near Mathematical programming can be used to determine the profit-maximizing combination of scarce resources and to determine the best allocation of output among geographic markets (Shang 1990). Programming refers to problems in which decision makers seek to optimize 350 MARKETING AND ECONOMIC ANALYSIS RESEARCH measures of satisfaction (profit-maximization or cost minimization) by selecting values for a set of variables (McCarl and Spreen 1996). Mathematical programming has been used to develop profit-maximizing stocking and harvesting schedules for farm-raised shrimp (Hatch and Atwood 1988; Dunning 1989; Valderrama and Engle 2002), compare single- and multiple-batch production of channel catfish (Engle and Pounds 1993), estimate on-farm costs of delayed harvest due to off-flavor (Engle et al. 1995), and schedule flounder production to meet market demand (Zucker and Anderson 1999). The growth and development of the Honduran economy in recent years may create potential for commercial development of a domestic tilapia market. Additional market development, particularly of higher-end market outlets, could stimulate additional growth of tilapia farm businesses. The objectives of this research were to quantify domestic marketing costs for tilapia produced in Honduras and develop a mathematical model to determine the most profitable marketing alternatives for small- and medium-scale tilapia farmers in Honduras. METHODS AND MATERIALS Scenarios Five production regions were identified based on geographic location (Fig. 1). Two farm-size scenarios were considered within each region: 1) small-scale farms, operating less than 1 ha of ponds and 2) medium-scale farms with 1 to 22 ha of water surface area. Table 1 presents the average farm size and total hectareage of small- and medium-scale tilapia farms in each production region. Of the 12 medium-scale farms, the largest were in the East region and were followed in descending order by those in the North, West, Central, and the South. Small-scale farms in the North were much larger than those in the other regions, with the smallest average farm sizes being in the West region. Average yields were 5,780 kg/ha/yr for the small-scale farms (Green et al. 1994; Green and Engle 2000) and 9,256 kg/ha/yr for the medium-scale farms (Green and Engle 2000). Cities considered as potential markets were those with populations greater than 23,000 inhabitants and the Lago de Yojoa recreational area, where local restaurants offer fried whole fish as a traditional specialty dish. Fourteen cities1 were considered in all. Marketing Costs Marketing costs were calculated for each region to sell to 14 potential market cities. The analysis assumed that the basic product to be sold is whole fish (in kg). Costs were estimated for the following marketing functions: transportation, packaging/icing, promotion, and collection of payment for fish delivered. Transportation alternatives considered were: 1) small pick-up trucks with a loading capacity of 750 kg weight; 2) medium trucks with capac- 351 ity of 2,000 kg weight; and 3) large trucks with a capacity of transporting 6,000 kg weight. Fixed transportation costs included: vehicle payments, financing costs, maintenance and repair costs, taxes, insurance, and depreciation. Vehicle cost quotations were obtained from Honduran car and truck dealerships. Financing costs were estimated based on the 2003 interest rate of 20.8% for loans in Honduran Lempiras (Banco Central de Honduras 2004). Maintenance and repair estimates were assumed to be 5% and insurance and taxes 4% of the total cost of the vehicle per year. Vehicles were assumed to have a useful life of 5 years and calculated using the straight-line method. Variable transportation costs considered were: fuel cost in $/L of diesel, average fuel consumption per km, oil and lubricants, maintenance, cost of tires, and labor (cost of driver). The cost of diesel in Honduras is regulated by the federal government; the national average of the first semester of 2003 ($0.45/L) was used for this analysis. The fuel consumption per km for smaller pick-up trucks was estimated at 10.5 kg/L, at 7.9 km/L for medium trucks and 6.8 km/L for larger trucks. Cost of oil and filters was estimated at $60 per 3,000 km, and tire costs were calculated at $200 for every 40,000 km. Transportation costs were calculated as an average of the distance from every region to each of the 14 market cities, 274 kg. Labor was calculated based on a monthly salary of $350 to $450 for the truck driver, with the higher salary for drivers of the larger trucks. Packaging and refrigeration costs included: materials, ice, labor, and containers/coolers. Polyethylene bags that would hold 4.54 kg of whole fish were assumed to be used for packaging. One kg of ice was used for every 4 kg of fish. Packaging labor was calculated based on the size of the shipment and the truck size. Coolers and refrigerated containers were depreciated over a 2-yr period. Financial costs were estimated for those market outlets that do not pay on delivery. Honduran restaurants frequently pay in 7 days and supermarkets in 30 days; open-air markets are the only outlets that pay on delivery. The costs of accounts receivable were estimated based on the 2003 APR of 20.8% in Honduras (Banco Central de Honduras 2004). Sales to restaurants require more promotion expense. An additional 10% of the sales price was charged for restaurant sales to account for the additional visits to potential clients, sampling, or traveling expenses to make initial acquaintances required for sales to restaurants. The Model A mixed-integer transshipment mathematical programming model was developed. Transshipment problems often involve location of farms, truck and market 352 TWENTY-SECOND ANNUAL TECHNICAL REPORT alternatives and transportation systems with high fixed costs. The basic decision in transshipment models involves trade-offs between fixed transportation costs and optimal price targeting (McCarl and Spreen 1997). Integer variables were used to model fixed costs and were combined with continuous, linear variables into the mixed-integer model (Dantzig 1963). Whole fish was selected as the product of analysis because it is the basic unit of sale for tilapia farmers. In a survey of supermarkets in Honduras, 68% of respondents preferred to consume tilapia as a whole fried product (Engle et al. 2001). Preferences for whole fish dishes were described by Molina (2000) in cities in Honduras. The top selling product form of tilapia was fresh wholedressed tilapia (74%) in open-air markets (Fúnez et al. 2003a). Data Engle et al. (2001) conducted national surveys of restaurants, supermarkets, and open-air markets in Honduras (Fúnez et al. 2003 a,b, Monestime et al. 2003). These surveys provided a database on prices and quantities bought and sold in each type of market outlet in various cities and regions of Honduras. Additional data were obtained from FHIA (2003) and from studies done by the Escuela Agrícola Panamericana (Tanaka, 2003). The price of live weight tilapia was obtained by dividing the whole-dressed price (from the surveys) by a dressout yield of 90.13% (Green and Engle, 2000). Net price was calculated by subtracting sales and promotion costs. Thus, whole-dressed prices were $2.20/kg in restaurants, $1.78/kg in supermarkets, and $1.62/kg in open-air markets, while net prices were $1.78/kg in restaurants, $1.58/kg in supermarkets, and $1.46/kg in open-air markets. Per capita annual consumption of fish (FAO 2002a) and survey estimates of the percentage of seafood sold that was tilapia (Fúnez et al. 2003 a, b; Monestime et al. 2003; Tanaka, 2003; and DIGEPESCA, 1999) were used to estimate the quantity demanded for each target market. To estimate supply, the expected production capacity of each region was estimated from the total hectares under cultivation multiplied by the average production (kg/ha/yr) (Green et al. 1994; Green and Engle 2000) for small- and medium-scale farms. Feed cost was calculated for nutritionally balanced floating tilapia feed (28% protein) (Tanaka 2003) at an average feed conversion ratio of 1.8 (g feed/g live weight gain). The targeted market size was a minimum of 250 g (Green and Engle 2000). Tilapia production cost was estimated at $1.13/kg for small-scale farms and $1.32/kg for medium-scale farms. Quality and size of fish were assumed to be consistent for small- and medium-scale farmers. Matrices or patterns of possibilities were developed for all supply and target market locations, prices, and shipping options. Model Development The model is based on five regions that supply 14 potential markets. The model calculates net returns systematically for every delivery or combination, considering all possible values for the decision variables: source, volume, truck, city, and outlet type. The model was based on weekly deliveries of fish to market outlets because markets require consistent, stable supplies of product to satisfy customers. The objective function was to maximize profit. Each variable included in the objective function contributed to or subtracted from profits. The profit-maximizing objective function can be stated algebraically as: Where: P is price of tilapia at outlet type (o), given in $/kg; Y is sale quantities to each outlet and market city (o), given in kg; C1 is the production cost of tilapia for farm scenario (f), given in $/kg; X is production quantities of farm (f) at region (r), given in kg; C2 is the transportation cost from farm (f), at region (r), utilizing transportation alternative (t), to target city (m), given in $/delivery; and T is the number of deliveries from farm (f), at region (r), utilizing transportation alternative (t), to target cities (m), given in delivery. The variables that the model can manipulate to maximize profit are the amount of kg of fish (kg) produced on each farm (X), the amount of tilapia (kg) sold in each target city and outlet (Y) and the number of deliveries that every type of transportation alternative makes to target markets. Variables must comply with technical constraint limits that include demand, supply, and truck capacity. The model is subject to the following constraints: Maximum supply (f,r) Maximum demand (o,m) Balance supply and demand Transfer to markets MARKETING AND ECONOMIC ANALYSIS RESEARCH Integer variable: T Positive variables: T, Y, X Where: S is the supply from farms (f) and regions (r), given in kg; D is the demand at outlets (o) and target cities (m), given in kg; and K is truck maximum capacity given in kg. The model was further restricted by other technical constraints that included: maximum truck capacities (K), deliveries as an integer variable, and a non-negativity constraint that ensured that all decision variables would be positive. The model was developed using the General Algebraic Modeling System (GAMS) for solving mathematical programming problems (GAMS Developing Corporation, Washington, D.C.). The model simulated two basic scenarios: 1) regional models that portrayed one average farmer from each of the five regions of Honduras (small- and medium-scale farms analyzed separately) to identify optimal outlets and target cities without considering interactions with other farms in other regions; and 2) a national model that allowed for competition and interaction of supply from different regions. Given the underdeveloped nature of the tilapia market in Honduras and the extent of imperfect market information, most tilapia sold domestically is sold regionally. The regional models were developed to evaluate the current situation. However, as interest grows in targeting the domestic market, and as more complete information becomes available, farmers will begin to search for the most profitable markets. Thus, the competition and interaction allowed in the national model are likely to emerge. Each model run generated output on profit ($/kg) and volumes sold in each market, the transportation alternative selected, and the average sales price ($/kg). Sensitivity analyses were conducted on the variations in demand, cost, and prices. Since most small-scale farmers (86%) have only a single pond that precludes weekly harvests, an additional model was developed using a combination of bi-annual deliveries from small-scale farmers (6-month production cycle) and weekly deliveries from medium-scale farms. RESULTS Marketing Costs Transportation costs ($/km) for the three truck alternatives are presented in Table 2. Costs per delivery ($/km) increased with truck size, with the pickup truck being the least expensive option. This is primarily due to the lower fuel costs of the smaller truck and lower labor costs because drivers for pickup trucks are less expensive than drivers of larger trucks. Annual depreciation 353 costs were highest for the large truck and decreased by 40% for the medium-sized truck and another 30% lower for the pickup truck. Interest on investment and taxes and insurance were also lower for the pickup than for the other, larger trucks. Total costs ranged from $0.18 - $0.33/km for the smallest to the largest trucks, respectively. However, the cost per kg of product was lowest for the largest truck size (Table 2). The cost/kg of product transported was $0.04/kg for the large truck, $0.08/kg for the medium-sized truck, and $0.17/kg for the pickup truck. Transportation costs were spread across the larger amount of product transported by the larger trucks. These estimates assumed that full loads were hauled; transporting less than a full load will increase per-unit transport costs. Total marketing costs are presented in Table 3 for average distances of 274 km round-trip at full capacity. Results showed a wide range of marketing costs from $0.07 to $0.41/kg of fish sold. Regardless of truck size, sales to open-air markets had the lowest marketing costs. Restaurant sales incurred the highest marketing costs and those of supermarkets were intermediate. The largest component of the marketing cost was transportation, representing 67% of marketing costs for pickup trucks, 53% for medium-sized trucks, and 36% for large trucks. Packaging and sales and collection costs represented similar proportions of total marketing costs, increasing to 35% in the large truck alternative. Mathematical Programming Model Regional Analysis Medium-scale farms The regional models for medium-scale tilapia farms selected 1-3 target market cities for the average farm in each region (Figure 2). The Distrito Central was the most profitable market and was targeted by farms in all producing regions. The layout of the highways in Honduras is such that the two main cities, Tegucigalpa (Distrito Central) and San Pedro Sula, are located in the center of the road network. This highway structure provides relatively easy access to the largest markets in the country for nearly all farm regions. Thus, transportation costs were reduced for most production regions, if the Distrito Central and San Pedro Sula markets were targeted. Larger cities were selected by the model because the transportation costs per kg were lower when hauling the larger volumes demanded by larger markets. Production supply volumes allowing use of larger trucks resulted in lower overall marketing costs. In the Central and South regions, the optimal solution selected for medium-scale farms was to sell all of the tilapia produced in the Distrito Central. Medium-scale farms in the North and West regions also concentrated sales on the Distrito Central, but targeted 28-36% of the 354 TWENTY-SECOND ANNUAL TECHNICAL REPORT tilapia produced towards San Pedro Sula. Farmers in the East region looked to supply the Lago de Yojoa market in addition to Distrito Central and San Pedro Sula markets. Restaurant outlets were selected consistently as the prime objective for every simulated transaction even if it meant additional delivery to the next farthest city. Restaurants offered the highest prices for the product and resulted in greater net returns for the farms. Supermarkets were supplied if truck capacity allowed for quantities of product to be transported in excess of that demanded by restaurants. Open-air markets were not selected as possible outlets due mainly to the lower prices paid. The greatest profits were obtained on farms located in regions closer to the larger cities (Table 4). Thus, farms in the North and Central regions were shown to have a competitive marketing advantage and generated higher profits. Growers in the Central region have a particular advantage because three of the largest cities are located in the Central region. Similarly, growers in the North region have ready access to 7 of the 14 potential markets in the country. The East region was the least profitable region for medium-scale farms because average sales price received was lower. It was more profitable for East farms to target closer cities, but the closer cities were less profitable than the Distrito Central and San Pedro Sula markets. The South region had the highest transportation cost and the second lowest profit margin. Truck sizes selected varied with the volume of output from different farm sizes. Farms in the Central, North, and West regions were large enough for medium-sized trucks, while those in the South, the smallest of the medium-sized farms, used only pickup trucks. Farms in the East used a mix of truck sizes. However, once the maximum capacity of any given truck is exceeded, it was more feasible to hire the next larger size truck instead of contracting two trips with a smaller vehicle. Small-scale farms Medium-scale farms had adequate production volumes to meet the weekly demand requirements of restaurants and supermarkets as specified in the initial models. However, low production volumes of smallscale farms prevented these farm sizes from capturing markets if weekly deliveries were required. Small-scale farms might supply part of the excess demand for fish that occurs in the Lent season. Additional models were formulated with bi-annual, instead of weekly, sales for small-scale farms. Bi-annual sales correspond well with the 6-month production cycle for 250-300 g tilapia in Honduras. The bi-annual sales models allowed small-scale farms to sell product in one target market city in four of the five regions (Central, East, South, and West (Figure 3)). Small-scale farmers in the Central regions targeted all their production to the Distrito Central as did the medium-scale farms. Farms in the South targeted their production to Choluteca, while those in the West region targeted all their production to Santa Rosa de Copán. Production of tilapia from small-scale farms in the North region targeted Lago de Yojoa (51%), San Pedro Sula (36%) and El Progreso (13%). Pickup trucks were selected for transportation by smallscale farms in the Central, East, South, and West regions, while those in the North region chose a combination of pickup (49%) and medium-sized trucks (51%). Farms in the North region, while still classified as small-scale, tended to be larger than those in other regions. The larger production capacity allowed them to utilize medium-sized trucks in some situations. Highest profits were obtained on small-scale farms located in the North region (Table 5). The higher profits in the North region were due to the combination of proximity to the more profitable markets and the lower transportation costs of medium-sized trucks as compared to pickup truck. Small-scale farms in the Central, South, East, and West regions followed in order of declining profitability. Those in the West region had the highest transportation costs and the lowest profit margins. Sensitivity Analysis Economic growth and development may result in increased demand for tilapia, while economic contraction would likely decrease demand. Analysis of a 30% variation in the maximum demand limit in every town had no effect on net returns per unit sold for small-scale farms in the Central and East regions (Table 6). Smallscale farms in the North, South and West regions were more sensitive to changes in demand because farms in these three regions supply smaller cities. The smaller populations in smaller target market cities result in limited overall demand. Net returns decrease by $0.01$0.02/kg with a 30% decrease in demand. Medium-scale farms located in the Central and South regions showed no differences in net returns as demand changed (Table 6). Farms in the East region showed a ±11% variation in profits as a result of a ±30% change in the demand. Those in the North and West regions showed slightly lower effects. Medium-scale farms were less sensitive to demand changes than small-scale farms because these larger farms had adequate capacity to target large market cities. Overall demand exceeded supply; thus the quantity sold was not limited by the size of these markets. Variations in production costs of ±10% had large impacts on net returns for all farms (Table 7). Net returns for small-scale farmers decreased by 26% to 40% with a MARKETING AND ECONOMIC ANALYSIS RESEARCH 10% decrease in production costs and increased by 28% to 38% with a 10% decrease in production cost for small and medium-scale farms, respectively. Price sensitivity analyses indicated that average net returns decreased by 40% to 50% with a 10% decrease in prices (Table 8). Net returns increased by 41% to 51% when prices were increased by 10% for small-scale and medium-scale farms, respectively. National Model In the national model medium-scale farms in the South region continued to target only the Distrito Central (Figure 4). East region farms re-directed sales from Lago de Yojoa and San Pedro Sula to supply only the Distrito Central. Farms in the North continued to sell to San Pedro Sula but also targeted El Progreso. Western region farms also targeted San Pedro Sula, but diverted more supply from Distrito Central to San Pedro Sula. Farms in the Central region did not supply Distrito Central and switched to Lago de Yojoa, Comayagua, and Siguatepeque. The larger average farm size in the East allowed them to capture the most profitable Distrito Central market. The next largest average farm sizes in the North and West made these farms competitive in the San Pedro Sula market while the much smaller farms in the Central region were forced to switch to much smaller market cities. Farm net returns in the national model were lower than those obtained from the individual regional models for the Central, East, North, and West regions (Table 9). Competition forced farms in the Central and West regions to sell to open-air markets and supermarkets because restaurant demand was quickly satisfied by neighboring farmers. In contrast, farms in the South region had higher net returns in the national model ($0.39/kg) than in the regional model ($0.32/kg) because of the relative proximity to the most profitable market in the Distrito Central. No small-scale farmers from any of the five regions were selected to supply any market in the national model. This was due to the low production volumes (10 kg/wk) and consequent higher marketing costs. To evaluate the possibility of small-scale farms supplying part of the increased demand for fish required during the Lent season, an additional national model was formulated based on bi-annual deliveries from small-scale farmers and weekly deliveries from medium-scale farms. The results demonstrated how the additional supply of fish from small-scale farms might affect the weekly Lent market. Small-scale farms supplied only a single city. Farmers from the Central region targeted Comayagua; those in the East and North regions targeted Lago de Yojoa; those in the South the Distrito Central; and small-scale farmers from the West targeted Santa Rosa de Copán. The additional supply from small-scale farms during Lent forced 355 a few changes on medium-scale farms with some of the East supply being diverted to Juticalpa (Figure 5). Per-unit net returns for the national model including bi-annual lent sales from small-scale farmers were lower than the ones obtained from the individual regional models for the Central and North regions (Table 10). These two regions comprised 89% of the total production from small-scale farms. Per-unit net returns for small-scale farmers in the other region were 19%-62% lower than those in the Central and North regions. For medium-scale farmers, profits were lower than without the small-scale farm supply. Small-scale farmers have lower production costs than the medium-scale farms due to lower stocking densities and the use of less expensive feeds. The bi-annual deliveries during lent from small-scale farms cut into sales of medium-sized farms for that week. DISCUSSION Medium-scale farmers in all regions were able to harvest weekly to supply markets throughout the year and have potential to develop and sustain long-lasting business relationships. Small-scale farmers in Honduras cannot supply weekly deliveries. The only option for small-scale farms to operate commercially appears to be bi-annual deliveries; otherwise, very local sales at low prices may be the only viable market alternative. Delivering only once every six months will not allow small-scale farms to develop business relationships with buyers. Supplying the additional demand during Lent may be another option. Another alternative may be to form marketing groups or cooperatives to combine production volumes in order to secure year-round weekly supply. However, the failure rate of cooperatives is very high. Strong skilled management is essential for success, but is frequently lacking. In this case, supplying markets in their own producing regions was generally the best option. While restaurants were clearly the most profitable, competition with other farms will force small-scale farms to also supply supermarkets and open-air markets, particularly in the Central and West regions. The Distrito Central market was the most profitable market location in Honduras. Its location in the center of the road network reduces transportation costs and provides the largest, higher priced market segment. However, restaurants may not be able to absorb the entire supply. To optimize transport cost, farmers must sell excess volume to supermarkets, the second most profitable type of market outlet. Restaurants paid the highest prices for tilapia, but restaurant sales have the highest marketing costs largely due to delivering samples and collecting payments from these outlets. Open-air markets have the lowest marketing cost due to cash transactions but pay the lowest price for tilapia. 356 TWENTY-SECOND ANNUAL TECHNICAL REPORT The only time that open-air markets were selected was at minimal quantities in the national model that assumed equally competitive farms in all regions of the country. Open-air markets are important resale points for fishermen and farmers who cannot offer consistent volumes of high quality fish or transport their product. The national weekly model demonstrated that farms in the East and South regions dominated sales to the most profitable Distrito Central outlets and forced farms in other regions to turn to other, smaller cities. The addition of the total bi-annual supply from small-scale farms during Lent reduced profits somewhat of the larger farms for that one week. It is important to note that some potential markets were not supplied in the analysis. These market inefficiencies result from the low volumes of production on smallscale farms. Consolidating volumes from several farms and promoting larger restaurant demand in remote towns may be an option, but would require business skill and acumen. The minimum commercial farm size to compete in the domestic market is approximately 6 ha. This size of farm can produce a volume of fish sufficient to maintain marketing costs at a level to be economically feasible and competitive. This farm size would produce 900 kg/wk and could supply restaurants in a number of cities on a regular basis and for a total marketing cost of $0.14/kg. CONCLUSIONS Major marketing costs of tilapia production in Honduras include transportation (40-73%), promotion and financial costs (13-30%) and packaging cost (14-30%). The optimal market solution can yield net profits from $0.21 to $0.55 per kilogram of fish. The model consistently selected restaurants as the first choice with supplemental sales to supermarkets to minimize transport costs. The national model that accounted for competition across regions showed that farms in the East and South regions have a marketing advantage over farms in other regions. Farms located at large distances from major markets have limited market competitiveness. Small-scale farmers have volumes too small to supply markets on a consistent weekly basis. To be commercially competitive, tilapia farms in Honduras would need to be at least 6 ha in size. Smaller farms likely can continue to supply fish for household consumption with some sales to local open-air markets to generate supplemental income. ACKNOWLEDGMENTS The authors wish to express their gratitude to the Aquaculture Collaborative Research Support Program for supporting this research, funded in part by United States Agency for International Development (USAID) Grant No.LAG-G-00-96-90015-00. The opinions expressed herein are those of the authors and do not necessarily reflect the views of the US Agency of International Development. LITERATURE CITED Banco Central de Honduras. 2004. Promedios ponderados de tasas anuales de intereses nominales del sistema financiero de Honduras. Subgerencia de Estudios Económicos, Sección Monetaria. BCH Website www.bch.hn. Dantzig, G. B. 1963. Linear Programming and Extensions. Princeton University Press, Princeton, New Jersey. DIGEPESCA. 1999. Especies vendidas en el Lago de Yojoa. Secretaria de Ganadería y Agricultura, Gobierno de Honduras. DIGEPESCA. 2002. Producción pesquera y Acuícola, 2000-2001, Secretaria de Ganadería y Agricultura, Gobierno de Honduras. 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Escuela Agrícola Panamericana, Tesis del Departamento de Gestión de Negocios, El Zamorano, Honduras. Teichert-Coddington, D.R. and B.W. Green. 1997. Experimental and comercial cultura of tilapia in Honduras. In: B.A. Costa-Pierce and J.E. Rakocy (Editors), Tilapia Aquaculture in the Ameritas, Volume One. World Aquaculture Society, Baton Rouge, Louisiana, pp. 142-162. Valderrama D. and C.R. Engle, 2002, Economic Optimization of Shrimp Farming in Honduras, Journal of the World Aquaculture Society, 33(4), 398-409. Zucker, D. and J. L. Anderson. 1999. A Dynamic, Stochastic Model of a Land-Based Summer Flounder Paralichthys dentatus Aquaculture Firm. Journal of the World Aquaculture Society, 30(2): 219-235. TWENTY-SECOND ANNUAL TECHNICAL REPORT 358 Table 1. Average farm size of medium- and small-scale farms by region, Honduras. Region Medium-scale farms No. farmers Avg. farm size Central East North South West TOTAL Small-scale farms No. farmers Avg. farm size (ha) 3.3 21.7 11.2 2.0 10.0 9.4 4 2 4 1 1 12 (ha) 0.096 0.065 0.430 0.050 0.019 0.09 45 11 2 2 9 69 Table 2. Estimated transportation costs for three truck sizes operating at full capacity. Items Units Pick-upa ($/km) Truck alternative Medium truckb Large truckc ($/km) ($/km) Variable costs d Fuel $/km $0.04 $0.06 $0.07 Oil and filters $/km $0.02 $0.02 $0.02 Tires $/km $0.01 $0.01 $0.01 Maintenance and repair $/km $0.01 $0.01 $0.01 Labor (driver) $/km $0.03 $0.04 $0.04 Depreciation $/km $0.04 $0.06 $0.10 Interest on investment $/km $0.02 $0.03 $0.06 Taxes and insurance $/km $0.01 $0.01 $0.02 Total costs per delivery $/km $0.18 $0.24 $0.33 Total costs per unit of product $/kg $0.17 $0.08 $0.04 Fixed costsd aPickup truck maximum capacity is 750 kg, including weight of ice and packaging materials. truck maximum capacity is 2,000 kg, including weight of ice and packaging materials. cLarge truck maximum capacity is 6,000 kg, including weight of ice and packaging materials. d Based on one round-trip to a market located at a distance of 274 km/day. bMedium MARKETING AND ECONOMIC ANALYSIS RESEARCH Table 3. 359 Marketing costs a for tilapia farmers to open-air markets, supermarkets and restaurants for one round-trip to a market located at an average distance of 274 km. Transport Packaging cost Sales-collection cost Total marketing cost ($/kg) ($/kg) ($/kg) ($/kg) Open-air markets $0.17 $0.03 $0.00 $0.20 Supermarkets $0.17 $0.03 $0.03 $0.23 Restaurants $0.17 $0.03 $0.21 $0.41 Open-air markets $0.08 $0.03 $0.00 $0.12 Supermarkets $0.08 $0.03 $0.03 $0.14 Restaurants $0.08 $0.03 $0.21 $0.32 Open-air markets $0.04 $0.03 $0.00 $0.07 Supermarkets $0.04 $0.03 $0.03 $0.09 Restaurants $0.04 $0.03 $0.21 $0.27 Truck alternative and outlet destination cost Pick-up truck Medium-size truck Large-size truck a Estimated Table 4. at full capacity. Net returns, average sales price and average transportation cost to sell to the optimal target markets selected for medium-scale farmers, weekly deliveries, regional model, Honduras. Production region Net returns Average sales price Transport cost ($/kg) ($/kg) ($/kg) Central $0.35 $1.78 $0.08 East $0.31 $1.72 $0.06 North $0.37 $1.78 $0.05 South $0.32 $1.78 $0.11 West $0.34 $1.78 $0.09 TWENTY-SECOND ANNUAL TECHNICAL REPORT 360 Table 5. Net returns, average sales price and average transportation cost of sales to optimal target markets for small-scale farmers, bi-annual deliveries, regional model, Honduras. Region Transport cost ($/kg) Average sales price ($/kg) Central $0.52 $1.78 $0.10 East $0.41 $1.78 $0.21 North $0.55 $1.77 $0.07 South $0.42 $1.72 $0.14 West $0.21 $1.66 $0.29 Table 6. Net returns ($/kg) Sensitivity analysis of the effect on net returns of + 30% change in demand for tilapia on net returns, small- and medium-scale tilapia farmers, regional model, Honduras. Farms Small-scale1 Mediumscale2 Base Change in Demand -30% +30% ($/kg) ($/kg) ($/kg) Central East North South West $0.52 $0.41 $0.55 $0.42 $0.21 $0.52 $0.41 $0.54 $0.40 $0.19 $0.52 $0.41 $0.56 $0.46 $0.23 Central $0.35 $0.35 $0.35 $0.31 $0.37 $0.32 $0.34 $0.27 $0.36 $0.32 $0.32 $0.35 $0.37 $0.32 $0.36 Region East North South West 1 Bi-annual delivery to target markets. 2 Weekly deliveries to target markets. MARKETING AND ECONOMIC ANALYSIS RESEARCH Table 7. Sensitivity analysis of effect on net returns of + 10% change in production costs, smalland medium-scale tilapia farmers, regional model, Honduras. Farms Region Small-scale1 Central East North South West Central East North South West Medium-scale2 1 2 361 Change in Production Cost Base -10% +10% ($/kg) $0.52 $0.41 $0.55 $0.42 $0.21 $0.35 $0.31 $0.37 $0.32 $0.34 ($/kg) $0.64 $0.53 $0.67 $0.54 $0.33 $0.48 $0.44 $0.50 $0.45 $0.47 ($/kg) $0.41 $0.30 $0.44 $0.31 $0.10 $0.21 $0.18 $0.23 $0.18 $0.21 Bi-annual delivery to target markets. Weekly deliveries to target markets. Table 8. Sensitivity analysis of effect on net returns of a change of + 10% in price, small- and medium-scale tilapia farmers, regional model, Honduras. Farms Small-scale1 Region Central East North South West Medium-scale2 Central East North South West 1 Bi-annual delivery to target markets. 2 Weekly deliveries to target markets. Base Change in Price -10% +10% ($/kg) $0.52 $0.41 $0.55 $0.42 $0.21 $0.35 $0.31 $0.37 $0.32 $0.34 ($/kg) $0.34 $0.24 $0.39 $0.25 $0.04 $0.19 $0.15 $0.20 $0.14 $0.17 ($/kg) $0.70 $0.59 $0.72 $0.59 $0.38 $0.53 $0.48 $0.54 $0.49 $0.52 TWENTY-SECOND ANNUAL TECHNICAL REPORT 362 Table 9. Net returns, average sales price and average transportation cost of sales to optimal target markets for medium-scale1 farmers, national model, Honduras. Region Profit Average sales price Transport cost ($/kg) ($/kg) ($/kg) Central 0.27 1.68 0.07 East 0.18 1.58 0.04 North 0.21 1.59 0.04 South 0.39 1.78 0.04 West 0.25 1.65 0.05 1No small-scale farms were selected to contribute supply. Table 10. Net returns, average sales price and average transportation cost of sales to optimal target markets for national average-size small- and medium-scale farmers, national model, Honduras. Region Small-scale Medium-scale Net returns Central East North South West Central East North South West ($/kg) 0.38 0.44 0.51 0.49 0.31 0.18 0.18 0.28 0.35 0.19 Average sales price ($/kg) 1.62 1.78 1.78 1.78 1.55 1.58 1.58 1.67 1.73 1.58 Transport cost ($/kg) 0.09 0.18 0.11 0.13 0.09 0.04 0.05 0.04 0.04 0.04 Figure 1. Geographic areas in Honduras identified as producion and marketing regions for analysis. MARKETING AND ECONOMIC ANALYSIS RESEARCH 363 Figure 2. Optimal target markets, medium-scale farms, weekly deliveries, regional model, Honduras. Figure 3. Optimal target markets, small-scale farms, bi-annual deliveries, regional model, Honduras. 364 TWENTY-SECOND ANNUAL TECHNICAL REPORT Figure 4. Optimal target markets, medium-scale farms, weekly deliveries, national model, Honduras. Figure 5. Optimal target markets, medium-scale farms, weekly deliveries simultaneously with biannual deliveries from small-scale farms, national model, Honduras. Cite as: [Author(s), 2005. Title.] In: J. Burright, C. Flemming, and H. Egna (Editors), Twenty-Second Annual Technical Report. Aquaculture CRSP, Oregon State University, Corvallis, Oregon, [pp. ___.]