The Determinants of Agricultural Production and the Optimum Cropping Pattern in the Northern State, Sudan By TARIG BASHIR ABDALLA B.Sc. (Agric.) Honours University of Khartoum November 1989 M.Sc. (Agric. Economics) University of Khartoum April 1998 A thesis Submitted in Fulfillment for the Requirements of the Degree of Ph.D. (Agric.) Supervisor : Prof. Babiker Idris Babiker Department of Agric. Economics, Faculty of Agriculture, University of Khartoum March, 2005 21 Π ت ﺷﺎ ٍ ﻏ ْﻴ َﺮ َﻣ ْﻌﺮُو َ ت َو َ ﺷﺎ ٍ ت ﱠﻣ ْﻌﺮُو َ ﺟ ﱠﻨ ﺎ ٍ ﺸَﺄ َ ) َو ُه َﻮ اﱠﻟﺬِي أَﻧ َ ن ُﻣ َﺘ ﺸَﺎ ِﺑﻬًﺎ ن وَاﻟ ﱡﺮ ﱠﻣ ﺎ َ ﺨ َﺘِﻠ ًﻔ ﺎ ُأ ُآُﻠ ُﻪ وَاﻟ ﱠﺰ ْﻳ ُﺘ ﻮ َ ع ُﻣ ْ ﻞ وَاﻟ ﱠﺰ ْر َ ﺨ َ وَاﻟ ﱠﻨ ْ ﺣ ﺼَﺎ ِد ِﻩ ﺣﻘﱠ ُﻪ َﻳ ْﻮ َم َ ﻏ ْﻴ َﺮ ُﻣ َﺘﺸَﺎ ِﺑ ٍﻪ ُآﻠُﻮ ْا ﻣِﻦ َﺛ َﻤ ِﺮ ِﻩ ِإذَا َأ ْﺛ َﻤ َﺮ وَﺁﺗُﻮ ْا َ َو َ ﻦ( ﺴ ِﺮﻓِﻴ َ ﺤﺐﱡ ا ْﻟ ُﻤ ْ ﻻ ُﻳ ِ ﺴ ِﺮﻓُﻮ ْا ِإﻧﱠ ُﻪ َ ﻻ ُﺗ ْ َو َ ﺻﺪق اﷲ اﻟﻌﻈﻴﻢ )ﺳﻮرة :اﻷﻧﻌﺎم -اﻵﻳﺔ: (141 22 To my mother, father, sisters and brothers. To my wife Hagir, my daughter Mawadda, my sons Bashir and Mohamed and my child Baraah To my relatives and friends With ever lasting love 23 Acknowledgments My special praise and thanks to almighty Alla, God of the World, the most gracious, most merciful for uncountable bounties. I would like to express my deep thanks, sincere gratitude and indebtedness, to my supervisor Professor Babiker Idris Babiker for his guidance, advice, patience and encouragement throughout the study. Thanks are due to Omdurman Islamic University for the provision of the financial support. My thanks are also extended to all those who helped or encouraged me in one way or another during my course of study. Finally my deepest thanks, appreciation and gratitude to my family for their patience, encouragement and unlimited support throughout my study. 24 ABSTRACT The study was conducted in the Northern State, where the farmers live on both sides of the river banks. The environmental conditions are suitable for growing horticultural and field crops. Most of the country's demand for broad beans, spices and almost all the date palms production is met by this state. In addition, the state has a comparative advantage in wheat production. Agricultural production in the Northern State faces problems of high costs of production, low crop yields, low prices and accordingly low farmer's income. The overall objective of this study is to evaluate the farming system in the Northern State. Within this context the study investigated the socio-economic characteristics of farmers, efficiency of resource use, identified the constraints facing agricultural production in the state and examined the effect of certain scenarios on farmers income, resource use and crops mix. The study depended mainly on primary data for the 2002/2003 agricultural season which was collected by direct interviewing of respondents through a multistage-stratified random sampling technique, using a structured questionnaire. The study also used secondary data which was collected from the relevant institutional sources. The data was subjected to both descriptive and statistical analysis. Gross margin analysis, regression analysis using Cobb-Douglas production function and the linear programming techniques were used. The study showed that the largest area in Merowe locality was cultivated by broad beans followed by wheat crop, while in Dongola locality the two crops occupied approximately the same largest area. Broad beans in Merowe and wheat in Dongola scored low yields and in 25 general the marginal value productivities of some resources were low relative to their costs, which means the inefficient use of those resources. Linear programming models showed a land use that is very different from the current land use. The results allocated 4.0 feddans of the available land of Merowe locality to broad beans beside the areas restricted for tomato and onion crops. Wheat crop entered the plan at a level just satisfying the consumption requirements. In Dongola locality broad beans occupied its restricted area and the rest was allocated to garlic and fennel crops. The wheat crop did not enter the plan. Land, labour and capital are the constraining factors in Dongola locality, while the constraining factors in Merowe locality were land and labour. The net farm income was higher than that currently obtained by 184% and 116% in the two localities respectively. Many scenarios were made by developing the parameters of the basic linear programming models to reflect a range of production options. The scenarios reflect the effect of cost of production, prices, productivities and adoption of improved technologies. According to the results of these scenarios wheat could be produced on commercial basis in Merowe locality when its present cost is reduced by 25%, when its productivity is increased by 25% or when its present price is increased by 20%. While it could be produced on commercial basis in Dongola locality when the present productivity is increased by 30% (i.e 11 sack/feddan) together with 20% increase in its price or when the productivity obtained by application of technical packages (18 sacks/feddan) is achieved. The study recommended the use of comparative and absolute production advantages and hence wheat is not to be produced in the state under the present level of productivity and prices in order to make use of tomato, onion and broad beans in Merowe locality and broad beans, 26 garlic and fennel in Dongola locality. For the production of wheat crop on commercial basis the study recommended the improvement of its productivity and prices. The study advised farmers to follow cropping rotation and the lands cultivated in the summer season should not be cultivated in the winter season of the same year and to improve the fertility of marginal and less productive lands. The study also recommended the improvement of extension services, credit facilities and availability of agricultural inputs. 27 ﺧﻼﺻــــﺔ اﻷﻃﺮوﺣــﺔ ﺃﺠﺭﻴﺕ ﺍﻟﺩﺭﺍﺴﺔ ﻓﻲ ﺍﻟﻭﻻﻴﺔ ﺍﻟﺸﻤﺎﻟﻴﺔ ﺤﻴﺙ ﻴﻘﻁﻥ ﺍﻟﺴﻜﺎﻥ ﻋﻠﻰ ﻀﻔﺘﻲ ﻨﻬﺭ ﺍﻟﻨﻴل. ﺍﻟﻅﺭﻭﻑ ﺍﻟﻤﻨﺎﺨﻴﺔ ﻤﻼﺌﻤﺔ ﻟﺯﺭﺍﻋﺔ ﺍﻟﻤﺤﺎﺼﻴل ﺍﻟﺒﺴﺘﺎﻨﻴﺔ ﻭﺍﻟﺤﻘﻠﻴﺔ ﺤﻴﺙ ﺘﻠﺒﻲ ﻫﺫﻩ ﺍﻟﻭﻻﻴـﺔ ﻤﻌﻅﻡ ﺍﺤﺘﻴﺎﺠﺎﺕ ﺍﻟﻘﻁﺭ ﻤﻥ ﻤﺤﺼﻭل ﺍﻟﻔﻭل ﺍﻟﻤﺼﺭﻱ ﻭﺍﻟﺘﻭﺍﺒل ﻭﻜـل ﺇﻨﺘـﺎﺝ ﺍﻟﺘﻤـﻭﺭ ، ﺒﺎﻹﻀﺎﻓﺔ ﺍﻟﻰ ﺃﻥ ﺍﻟﻭﻻﻴﺔ ﻟﻬﺎ ﻤﻴﺯﺓ ﻨﺴﺒﻴﺔ ﻓﻲ ﺇﻨﺘﺎﺝ ﺍﻟﻘﻤﺢ .ﺘﻭﺍﺠﻪ ﺍﻹﻨﺘﺎﺝ ﺍﻟﺯﺭﺍﻋﻲ ﻓـﻲ ﺍﻟﻭﻻﻴﺔ ﺍﻟﺸﻤﺎﻟﻴﺔ ﻤﺸﺎﻜل ﺍﺭﺘﻔﺎﻉ ﺘﻜﺎﻟﻴﻑ ﺍﻹﻨﺘﺎﺝ ،ﺘﺩﻨﻲ ﺍﻹﻨﺘﺎﺠﻴﺔ ،ﺘﺩﻨﻲ ﺍﻷﺴﻌﺎﺭ ﻭﺒﻨـﺎﺀﹰﺍ ﻋﻠﻴﻪ ﺍﻨﺨﻔﺎﺽ ﺩﺨل ﺍﻟﻤﺯﺍﺭﻉ .ﺍﻟﻬﺩﻑ ﺍﻟﺭﺌﻴﺴﻲ ﻟﻬـﺫﻩ ﺍﻟﺩﺭﺍﺴـﺔ ﻫـﻭ ﺘﻘﻴـﻴﻡ ﺍﻟﺘﺭﻜﻴﺒـﺔ ﺍﻟﻤﺤﺼﻭﻟﻴﺔ ﻟﻤﺯﺍﺭﻋﻲ ﺍﻟﻭﻻﻴﺔ .ﻭﻀﻤﻥ ﻫﺫﺍ ﻤﻌﺭﻓﺔ ﺍﻟﺨﺼﺎﺌﺹ ﺍﻻﺠﺘﻤﺎﻋﻴﺔ ﻭﺍﻻﻗﺘـﺼﺎﺩﻴﺔ ﻟﻠﻤﺯﺍﺭﻋﻴﻥ ،ﻤﻘﺎﺭﻨﺔ ﻜﻔﺎﺀﺓ ﺘﻭﺯﻴﻊ ﺍﻟﻤﻭﺍﺭﺩ ،ﺘﺤﺩﻴﺩ ﺍﻟﺘﺭﻜﻴﺒﺔ ﺍﻟﻤﺤﺼﻭﻟﻴﺔ ﺍﻟﻤﺜﻠﻰ ﻓﻲ ﻅـل ﻅﺭﻭﻑ ﺍﻟﻤﺯﺍﺭﻋﻴﻥ ﺍﻟﺭﺍﻫﻨﺔ ،ﺘﺤﺩﻴﺩ ﻤﻌﻭﻗﺎﺕ ﺍﻹﻨﺘﺎﺝ ﺍﻟﺯﺭﺍﻋﻲ ﺒﺎﻟﻭﻻﻴﺔ ،ﺇﺨﺘﺒـﺎﺭ ﺃﺜـﺭ ﺒﻌﺽ ﺍﻟﺴﻴﺎﺴﺎﺕ ﻋﻠﻰ ﺩﺨﻭل ﺍﻟﻤﺯﺍﺭﻋﻴﻥ ،ﺍﺴﺘﺨﺩﺍﻡ ﺍﻟﻤﻭﺍﺭﺩ ﻭﺍﻟﺘﺭﻜﻴﺒﺔ ﺍﻟﻤﺤﺼﻭﻟﻴﺔ . ﺍﻋﺘﻤﺩﺕ ﺍﻟﺩﺭﺍﺴﺔ ﺒﺼﻭﺭﺓ ﺃﺴﺎﺴﻴﺔ ﻋﻠﻰ ﻤﻌﻠﻭﻤـﺎﺕ ﺃﻭﻟﻴـﺔ ﻟﻠﻤﻭﺴـﻡ ﺍﻟﺯﺭﺍﻋـﻲ 2003-2002ﻡ ﻭﺍﻟﺘﻲ ﺠﻤﻌﺕ ﻋﻥ ﻁﺭﻴﻕ ﺍﻻﺴﺘﺒﻴﺎﻥ ﺒﺎﻟﻤﻘﺎﺒﻠـﺔ ﺍﻟﺸﺨـﺼﻴﺔ ﻟﻠﻤـﺴﺘﻬﺩﻓﻴﻥ ﺒﺈﺨﺘﻴﺎﺭ ﻋﻴﻨﺔ ﻋﺸﻭﺍﺌﻴﺔ ﻁﺒﻘﻴﺔ ﻤﺘﻌﺩﺩﺓ ،ﻜﻤﺎ ﺍﺴﺘﺨﺩﻤﺕ ﺍﻟﺩﺭﺍﺴﺔ ﺃﻴﻀﺎ ﺍﻟﻤﻌﻠﻭﻤﺎﺕ ﺍﻟﺜﺎﻨﻭﻴـﺔ ﻭﺍﻟﺘﻲ ﺠﻤﻌﺕ ﻤﻥ ﻤﺼﺎﺩﺭ ﺫﺍﺕ ﺼﻠﺔ . ﺃﺨﻀﻌﺕ ﺍﻟﺩﺭﺍﺴﺔ ﻟﻠﺘﺤﻠﻴل ﺍﻟﻭﺼﻔﻲ ﻭﺍﻹﺤﺼﺎﺌﻲ ﺤﻴﺙ ﺘﻡ ﺍﺴﺘﺨﺩﺍﻡ ﺘﺤﻠﻴل ﺍﻟﻤﻴﺯﺍﻨﻴﺔ ﺍﻟﻤﺯﺭﻋﻴـــﺔ ،ﺍﻟﺘﺤﻠﻴـــل ﺍﻻﺭﺘـــﺩﺍﺩﻱ ﺒﺎﺨﺘﻴـــﺎﺭ ﺩﺍﻟـــﺔ ﻜـــﻭﺏ ﺩﻭﻗـــﻼﺱ ) (Cobb - Douglasﻭﺃﺴﻠﻭﺏ ﺍﻟﺒﺭﻤﺠﺔ ﺍﻟﺨﻁﻴﺔ ).(Linear programming ﺃﻭﻀﺤﺕ ﺍﻟﺩﺭﺍﺴﺔ ﺃﻥ ﺃﻜﺒﺭ ﺍﻟﻤﺴﺎﺤﺎﺕ ﺍﻟﻤﺯﺭﻭﻋﺔ ﻓﻲ ﻤﺤﻠﻴـﺔ ﻤـﺭﻭﻱ ﺯﺭﻋـﺕ ﺒﺎﻟﻔﻭل ﺍﻟﻤﺼﺭﻱ ﻴﻠﻴﻪ ﻤﺤﺼﻭل ﺍﻟﻘﻤﺢ ﻭﺃﻥ ﺃﻜﺒﺭ ﺍﻟﻤﺴﺎﺤﺎﺕ ﻓﻲ ﻤﺤﻠﻴﺔ ﺩﻨﻘﻼ ﺯﺭﻋﺕ ﺒﺎﻟﻘﻤﺢ ﻭﺍﻟﻔﻭل ﺍﻟﻤﺼﺭﻱ .ﺍﻟﻔﻭل ﺍﻟﻤﺼﺭﻱ ﺤﻘﻕ ﺇﻨﺘﺎﺠﻴﺔ ﻤﺘﺩﻨﻴﺔ ﻓﻲ ﻤﺤﻠﻴﺔ ﻤﺭﻭﻱ ﻜﻤﺎ ﺃﻥ ﺍﻟﻘﻤـﺢ ﻗﺩ ﺤﻘﻕ ﺇﻨﺘﺎﺠﻴﺔ ﻤﺘﺩﻨﻴﺔ ﻓﻲ ﻤﺤﻠﻴﺔ ﺩﻨﻘﻼ ،ﻭﻟﺫﻟﻙ ﻓﺈﻥ ﻗﻴﻤﺔ ﺍﻹﻨﺘﺎﺠﻴـﺔ ﺍﻟﺤﺩﻴـﺔ ﻟـﺒﻌﺽ ﺍﻟﻤﻭﺍﺭﺩ ﺘﻌﺘﺒﺭ ﻤﺘﺩﻨﻴﺔ ﺒﺎﻟﻨﺴﺒﺔ ﻟﻠﺘﻜﻠﻔﺔ ﺍﻟﺤﺩﻴﺔ ﻤﻤﺎ ﻴﻌﻨﻲ ﻗﻠﺔ ﻜﻔﺎﺀﺓ ﺍﺴﺘﺨﺩﺍﻡ ﻫﺫﻩ ﺍﻟﻤﻭﺍﺭﺩ . ﻨﺘﺎﺌﺞ ﻨﻤﺎﺫﺝ ﺍﻟﺒﺭﻤﺠﺔ ﺍﻟﺨﻁﻴﺔ ﺍﻷﺴﺎﺴﻴﺔ ﺃﻭﻀﺤﺕ ﺍﻟﻔﺠﻭﺓ ﺍﻟﻜﺒﻴﺭﺓ ﺒـﻴﻥ ﺍﺴـﺘﺨﺩﺍﻡ ﺍﻷﺭﺽ ﺍﻟﺫﻱ ﻴﻤﺎﺭﺴﻪ ﺍﻟﻤﺯﺍﺭﻋﻭﻥ ﻭﺍﻻﺴﺘﺨﺩﺍﻡ ﺍﻷﻤﺜل .ﻨﺘﺎﺌﺞ ﺍﻟﻨﻤﻭﺫﺝ ﺃﻭﻀﺤﺕ ﺃﻨﻪ ﻴﺠﺏ ﺯﺭﺍﻋﺔ 4.0ﻓﺩﺍﻥ ﻤﻥ ﺍﻟﻤﺴﺎﺤﺔ ﺍﻟﻤﺘﺎﺤﺔ ﻓﻲ ﻤﺤﻠﻴﺔ ﻤﺭﻭﻱ ﺒﻤﺤـﺼﻭل ﺍﻟﻔـﻭل ﺍﻟﻤـﺼﺭﻱ ﺒﺠﺎﻨﺏ ﺍﻟﻤﺴﺎﺤﺎﺕ ﺍﻟﺘﻲ ﺨﺼﺼﺕ ﻟﻤﺤﺼﻭل ﺍﻟﻁﻤﺎﻁﻡ ﻭﺍﻟﺒﺼل .ﺸﻤﻠﺕ ﺍﻟﺨﻁﺔ ﻤﺤﺼﻭل 28 ﺍﻟﻘﻤﺢ ﺒﻤﺴﺘﻭﻯ ﻴﻜﻔﻲ ﻓﻘﻁ ﺍﺤﺘﻴﺎﺠﺎﺕ ﺍﻻﺴﺘﻬﻼﻙ .ﻓﻲ ﻤﺤﻠﻴﺔ ﺩﻨﻘﻼ ﺍﺤﺘل ﺍﻟﻔﻭل ﺍﻟﻤـﺼﺭﻱ ﺍﻟﻤﺴﺎﺤﺔ ﺍﻟﺘﻲ ﻗﻴﺩﺕ ﻟﻪ ﺒﺠﺎﻨﺏ ﻤﺤﺼﻭل ﺍﻟﺘﻭﻡ ﻭﺍﻟﺸﻤﺎﺭ ،ﺒﻴﻨﻤﺎ ﺘﻡ ﺍﺴﺘﺒﻌﺎﺩ ﻤﺤﺼﻭل ﺍﻟﻘﻤﺢ. ﺍﻷﺭﺽ ،ﺍﻟﻌﻤﺎﻟﺔ ﻭﺭﺃﺱ ﺍﻟﻤﺎل ﻫﻲ ﻤﺤﺩﺩﺍﺕ ﺍﻹﻨﺘﺎﺝ ﻓﻲ ﻤﺤﻠﻴﺔ ﺩﻨﻘـﻼ ﺒﻴﻨﻤـﺎ ﻤﺤـﺩﺩﺍﺕ ﺍﻹﻨﺘﺎﺝ ﻓﻲ ﻤﺤﻠﻴﺔ ﻤﺭﻭﻱ ﻫﻲ ﺍﻷﺭﺽ ﻭﺍﻟﻌﻤل .ﺼﺎﻓﻲ ﺩﺨل ﺍﻟﻤﺯﺍﺭﻉ ﺃﻋﻠﻰ ﻤـﻥ ﺍﻟـﺫﻱ ﺤﻘﻕ ﻋﻤﻠﻴﹶًﺎ ﺒﻨﺴﺒﺔ 180%ﻭ 116%ﻓﻲ ﺍﻟﻤﺤﻠﻴﺘﻴﻥ ﻋﻠﻰ ﺍﻟﺘﻭﺍﻟﻲ. ﺘﻡ ﻋﻤل ﺒﻌﺽ ﺍﻟﺴﻴﺎﺴﺎﺕ ﺒﺘﻁﻭﻴﺭ ﻤﻌﺎﻤﻼﺕ ﻨﻤﺎﺫﺝ ﺍﻟﺒﺭﻤﺠﺔ ﺍﻟﺨﻁﻴـﺔ ﺍﻷﺴﺎﺴـﻴﺔ ﻟﻌﻜﺱ ﺨﻴﺎﺭﺍﺕ ﺍﻹﻨﺘﺎﺝ .ﻋﻜﺴﺕ ﺍﻟﺴﻴﺎﺴﺎﺕ ﺘﺄﺜﻴﺭ ﺘﻜﺎﻟﻴﻑ ﺍﻹﻨﺘﺎﺝ ،ﺍﻷﺴﻌﺎﺭ ،ﺍﻹﻨﺘﺎﺠﻴـﺔ ﻭﺘﻁﺒﻴﻕ ﺍﻟﺤﺯﻡ ﺍﻟﺘﻘﻨﻴﺔ ﻋﻠﻰ ﺍﻹﻨﺘﺎﺝ ﺍﻟﻤﺤﻠﻲ .ﺒﻨﺎﺀﹰﺍ ﻋﻠﻰ ﻫﺫﻩ ﺍﻟﺴﻴﺎﺴﺎﺕ ﻴﻤﻜـﻥ ﺯﺭﺍﻋـﺔ ﻤﺤﺼﻭل ﺍﻟﻘﻤﺢ ﺒﻤﺴﺘﻭﻯ ﺘﺠﺎﺭﻱ ﻓﻲ ﻤﺤﻠﻴﺔ ﻤﺭﻭﻱ ﻤﺘﻰ ﻤﺎ ﺘﻡ ﺘﺨﻔﻴﺽ ﺘﻜـﺎﻟﻴﻑ ﺍﻹﻨﺘـﺎﺝ ﺍﻟﺤﺎﻟﻴﺔ ﺒﻨﺴﺒﺔ ، 25%ﻤﺘﻰ ﻤﺎ ﺯﺍﺩﺕ ﺇﻨﺘﺎﺠﻴﺘﻪ ﺍﻟﺤﺎﻟﺔ ﺒﻨـﺴﺒﺔ ، 25%ﻤﺘـﻰ ﻤـﺎ ﺯﺍﺩﺕ ﺃﺴﻌﺎﺭﻩ ﺍﻟﺤﺎﻟﻴﺔ ﺒﻨﺴﺒﺔ 20%ﺃﻭ ﻤﺘﻰ ﻤﺎ ﺍﻨﺨﻔﻀﺕ ﺃﺴﻌﺎﺭ ﻤﺤﺼﻭل ﺍﻟﻁﻤﺎﻁﻡ ﺒﻨﺴﺒﺔ .25% ﺒﻴﻨﻤﺎ ﻴﻤﻜﻥ ﺯﺭﺍﻋﺘﻪ ﻓﻲ ﻤﺤﻠﻴﺔ ﺩﻨﻘﻼ ﺒﻤﺴﺘﻭﻯ ﺘﺠﺎﺭﻱ ﻤﺘﻰ ﻤﺎ ﺯﺍﺩﺕ ﺇﻨﺘﺎﺠﻴﺘﻪ ﺍﻟﺤﺎﻟﻴﺔ ﺒﻨﺴﺒﺔ 11) 30%ﺠﻭﺍل /ﻓﺩﺍﻥ( ﻤﻊ ﺯﻴﺎﺩﺓ ﺴﻌﺭﻩ ﺍﻟﺤﺎﻟﻲ ﺒﻨﺴﺒﺔ 20%ﺃﻭ ﻤﺘﻰ ﺘﺤﻘﻘﺕ ﺇﻨﺘﺎﺠﻴـﺔ ﺘﻁﺒﻴﻕ ﺍﻟﺤﺯﻡ ﺍﻟﺘﻘﻨﻴﺔ ) 18ﺠﻭﺍل /ﻓﺩﺍﻥ( . ﺃﻭﺼﺕ ﺍﻟﺩﺭﺍﺴﺔ ﺍﻻﺴﺘﻔﺎﺩﺓ ﻤﻥ ﺍﻟﻤﻴﺯﺓ ﺍﻟﻨﺴﺒﻴﺔ ﻭﺍﻟﻤﻁﻠﻘﺔ ﻭﺫﻟﻙ ﺒﺯﺭﺍﻋﺔ ﻤﺤـﺼﻭل ﺍﻟﻁﻤﺎﻁﻡ ،ﺍﻟﺒﺼل ،ﻭﺍﻟﻔﻭل ﺍﻟﻤﺼﺭﻱ ﻓﻲ ﻤﺤﻠﻴﺔ ﻤﺭﻭﻱ ﻭﺯﺭﺍﻋﺔ ﺍﻟﻔﻭل ﺍﻟﻤﺼﺭﻱ ،ﺍﻟﺘﻭﻡ ﻭﺍﻟﺸﻤﺎﺭ ﻓﻲ ﻤﺤﻠﻴﺔ ﺩﻨﻘﻼ .ﻟﺯﺭﺍﻋﺔ ﻤﺤﺼﻭل ﺍﻟﻘﻤﺢ ﺒﻤﺴﺘﻭﻯ ﺘﺠﺎﺭﻱ ﺃﻭﺼـﺕ ﺍﻟﺩﺭﺍﺴـﺔ ﺒﺘﺤﺴﻴﻥ ﺍﻹﻨﺘﺎﺠﻴﺔ ﻭﺍﻷﺴﻌﺎﺭ .ﻨﺼﺤﺕ ﺍﻟﺩﺭﺍﺴﺔ ﺍﻟﻤﺯﺍﺭﻋﻴﻥ ﺒﺈﺘﺒﺎﻉ ﻨﻅﺎﻡ ﺍﻟﺩﻭﺭﺓ ﺍﻟﺯﺭﺍﻋﻴﺔ، ﻋﺩﻡ ﺯﺭﺍﻋﺔ ﺍﻟﻤﺴﺎﺤﺎﺕ ﺍﻟﺘﻲ ﺘﺯﺭﻉ ﻓﻲ ﺍﻟﻤﻭﺴﻡ ﺍﻟﺼﻴﻔﻲ ﻓﻲ ﻤﻭﺴﻡ ﺍﻟﺸﺘﺎﺀ ﺘﺤﺴﻴﻥ ﺨﺼﻭﺒﺔ ﺍﻷﺭﺍﻀﻲ ﺍﻟﻬﺎﻤﺸﻴﺔ ﻭﺍﻷﺭﺍﻀﻲ ﻗﻠﻴﻠﺔ ﺍﻹﻨﺘﺎﺠﻴﺔ .ﺃﻭﺼﺕ ﺍﻟﺩﺭﺍﺴﺔ ﺃﻴﻀﹰﺎ ﺒﺘﺤﺴﻴﻥ ﺨـﺩﻤﺎﺕ ﺍﻹﺭﺸﺎﺩ ،ﺘﻭﻓﻴﺭ ﺍﻟﺘﻤﻭﻴل ﻟﻠﻤﺯﺍﺭﻋﻴﻥ ﻭ ﺘﻭﻓﻴﺭ ﻤﺩﺨﻼﺕ ﺍﻹﻨﺘﺎﺝ. 29 CONTENTS Page No. Chapter I: Introduction 1.1 The concept of macro and microeconomics 1.2 Contribution of agriculture to Sudan economy 1.3 Results of previous studies 1 2 6 1.4 1.5 1.6 1.7 1.8 Problem statement and justification Objectives of the study The hypotheses of the study Research methodology Organization of the thesis Chapter II: background information on the Northern State Location and administrative structure Human resources Climate and vegetation Types of agricultural lands Sources of irrigation water Agricultural schemes Land utilization Agricultural seasons Fruit trees Field crops Animal wealth Agricultural inputs Seeds Fertilizers Pesticides Agricultural credit Irrigation inputs Marketing Storage and processing Chapter III: The socio-economic characteristics and farmer's income in the Northern State. 10 12 13 13 19 The general characteristics of the household head Farmer's age Marital status Educational levels Family 42 42 43 43 44 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.7.1 2.7.2 2.7.3 2.7.4 2.8 2.8.1 2.8.2 2.8.3 2.8.4 2.8.5 2.9 2.10 3.1 3.1.1 3.1.2 3.1.3 3.2 30 21 21 21 23 25 25 29 29 29 31 35 35 35 36 36 36 37 37 41 3.3 3.4 3.5 3.6 3.7 3.7.1 3.7.2 3.7.3 3.7.4 3.7.4.1 3.7.4.2 3.7.4.3 3.7.4.4 3.7.4.5 3.7.5 3.7.6 3.7.6.1 3.7.6.2 3.7.6.3 3.7.6.4 3.8 Source of irrigation Characteristics of the private schemes Agricultural holdings Land tenure Land utilization Cropping intensity Crops grown Animal ownership Agricultural operations Land preparation Sowing date Weeding Harvesting Labour resource management Irrigation Input-output relationships Seed rate Fertilizer The actual and the expected output Seed varieties Gross margin analysis Chapter IV: Allocation efficiency analysis. 45 46 46 47 49 49 50 51 51 51 53 54 55 55 60 61 61 63 64 66 67 4.1 4.1.1 4.1.2 4.1.2.1 4.1.2.2 4.1.3 4.2 4.3 4.3.1 4.3.2 4.3.3 Theoretical framework Introduction Production function General overview Forms of the production function Efficiency indices and optimization The results of the production function Allocation efficiency analysis Land resource Labour resource capital resource Chapter V: A linear programming model of a representative farm in the Northern State. Theoretical framework Economic choice concepts Linear programming model General overview Assumptions of linear programming The objective function Specification of the model structure 71 71 71 71 72 75 76 81 81 83 85 5.1 5.1.1 5.1.2 5.1.2.1 5.1.2.2 5.1.2.3 5.2 31 89 89 90 90 92 93 94 5.3 5.3.1 5.3.2 5.3.3 Empirical specification of the model Introduction The activity set Constraints Chapter VI: Results and discussion of the linear programming model. 97 97 98 111 6.1 6.2 6.2.1 6.2.2 6.3 6.3.1 6.3.2 6.3.3 6.3.4 6.5.5 Introduction The basic solution The free model run The restricted model run Policy analysis scenarios The effect of the cost of production The effect of crops prices The effect of crops productivity The effect of crops productivity and prices The effect of technical packages Chapter VII: Summary, conclusions, recommendations 115 115 115 119 127 127 129 130 131 132 and policy implications 7.1 7.2 7.3 7.4 Summary Conclusions Recommendations Policy implications 136 143 145 146 7.5 Limitations of the study and suggestion for further 147 research Bibliography 148 32 LIST OF TABLES Table 1.1 Average area and production of the major crops grown in Sudan for the period 1999/2000 – 2001/2002 1.2 The exploited agricultural areas (fed.) and the number of farmers in the Northern State by locality 2.1 Names and areas (fed.) of reserved forestries in the Northern State 2.2 Names and areas (fed.) of forestries to be reserved in the Northern State 2.3 Names and areas (fed.) of the important irrigated basins in the Northern State 2.4 Numbers and areas (fed.) of the private schemes in the Northern State by locality 2.5 Numbers and areas (fed.) of the companies schemes in the Northern State by locality 2.6 Dates of construction and areas (fed.) of the government transformed schemes in the Northern State 2.7 Numbers and areas (fed.) of the cooperative schemes in the Northern State 2.8 Estimated number of date palms by locality 2.9 Areas (fed.) of the major field crops grown in the Northern State during the period 1990/91-2001/02 2.10 Average productivity (sack/fed.) of the main field crops grown in the Northern State for the period 19902002 2.11 Types and number (head) of the animals in the Northern State by locality 2.12 Types and amount of loans ( thousand SD) provided by the ABS to the agricultural sector in the Northern State for the seasons 2002 and 2003 2.13 The movement of crops prices (SD) in the Northern State during the year 2000 3.1 The general characteristics of the household heads 3.2 The general characteristics of the family in the Northern State by locality 3.3 Source of irrigation 3.4 Characteristics of private pump schemes 3.5 The average farm size (fed.) according to land tenure in 33 Page No. 5 14 22 23 24 26 27 27 28 30 33 34 35 36 39 43 44 45 46 47 the Northern State by locality 3.6 Cropping intensity and cropped area in the different seasons in the Northern State by locality and scheme type 3.7 Types of crops grown and area (percent of the total cropped area) in the Northern State for the 2003 season by locality and scheme type 3.8 Animal ownership 3.9a Average monthly mandays per feddan and percentage of family and hired labour in Merowe locality 3.9b Average monthly mandays per feddan and percentage of family and hired labour in Dongola locality 3.10a Average labour requirements (mandays per feddan) of the different crops grown in Merowe locality by operation 3.10b Average labour requirements (mandays per feddan) of the different crops grown in Dongola locality by operation 3.11 Recommended and actual number of irrigations given to major winter crops in the Northern State (season 2002/03) 3.12 Recommended and actual number of irrigations given to wheat and broad beans crops in companies schemes in the Northern State (season 2002/03) 3.13 Wheat input-output per feddan actual and recommended for the private farms in the Northern State (season 2002/03) 3.14 Broad beans input-output per feddan actual and recommended for the private farms in the Northern State (season 2002/03) 3.15 The actual number of irrigations and output (sacks per feddan) for wheat and broad beans crops in the Northern State according to scheme type 3.16 Fennel input-output per feddan actual and recommended in the Northern State (season 2002/03) 3.17 Onion input-output per feddan actual and recommended in Merowe locality (season 2002/03) 3.18 Garlic input-output per feddan actual and recommended in Dongola locality (season 2002/03) 4.1 The regression equation for the whole sample in Merowe and Dongola localities 34 49 50 51 57 58 59 59 61 61 62 63 64 65 65 66 78 4.2 The regression equation for private and companies schemes in Merowe locality 4.3 The regression equation for private and companies schemes in Dongola locality 4.4 Marginal value productivities and efficiency indices of land for the whole sample of Merowe and Dongola localities 4.5 Marginal value productivities and efficiency indices of land in the Northern State by locality and scheme type 4.6 Marginal value productivities and efficiency indices of labour for the whole sample of Merowe and Dongola localities 4.7 Marginal value productivities and efficiency indices of labour for Merowe and Dongola localities by scheme type 4.8 Marginal value productivities and efficiency indices of capital for the whole sample of Merowe and Dongola localities 4.9 Marginal value productivities and efficiency indices of capital in the Northern State by locality and scheme type 5.1 An LP tableu of representive farm in the Northern State 5.2 Crop production activities in Merowe locality 5.3 Crop production activities in Dongola locality 5.4 Hiring labour activities in Merowe locality 5.5 Hiring labour activities in Dongola locality 5.6 Crop selling, consumption and buying activities in Merowe locality 5.7 Crop selling, consumption and buying activities in Dongola locality 5.8 Borrowing capital activities in Merowe locality 5.9 Borrowing capital activities in Dongola locality 5.10 Capital transfer activities in Merowe locality 5.11 Capital transfer activities in Dongola locality 5.12 Average number of irrigations available per month in private schemes of the Northern State by locality 5.13 Average number of irrigations given to winter crops per month in Merowe locality (season 2002/03) 5.14 Average number of irrigations given to winter crops per month in Dongola locality (season 2002/03) 35 79 80 81 82 83 84 85 86 96 99 100 102 103 105 106 108 109 110 110 112 113 113 6.1 Basic solutions of the free cropping LP models in comparison to reality 6.2 Basic solutions of the restricted cropping LP models in comparison to reality 6. 3 Number of mandays required by month in the basic solutions in comparison to reality 6.4 The monthly average number of irrigations required in the basic solutions in comparison to reality 6.5 The surplus irrigation water in the basic solution of the LP models 6.6 Marginal value productivities of credit (SD/unit) in the basic solutions of the LP models 6.7 Net farm income (SD) and crop mix (fed.) resulting from lowering wheat cost by 50% 6.8 The net farm income (SD) and crop mix (fed.) of the improved technologies in comparison to basic models 116 121 123 125 125 126 128 135 ABBREVIATIONS SD Sudanese dinar (1 US$ = about 260 SD). Feddan (fed.) Land area unit, equivalent to 4200 meters (One feddan = 0.42 ha). NSMAAI Northern State Ministry of Agriculture, Animal Wealth and Irrigation. AOAD Arab Organization for Agricultural Development. IFAD International Fund for Agricultural Development. ABS Agricultural Bank of Sudan. ASF Agricultural Supply Fund 36 HRS Hudeiba Research Station 37 CHAPTER I INTRODUCTION 1.1 The concept of macro and microeconomics: Macroeconomics focuses on the behaviour of an entire economy. It worries about national goals as full employment, control of inflation and economic growth, without worrying about the wellbeing or behaviour of specific individuals or groups. The essential concern of macroeconomics is to understand and improve the performance of the economy as a whole. Microeconomics is concerned with the details of this big picture. It focuses on the individual firms and government agencies that actually comprise the large economy. The interest in microeconomics is in the behaviour of individual economic actors, what their goals are, how can they best achieve these goals with their limited resources and how they respond to various incentives and opportunities. A primary concern of macroeconomics, for example is to determine the impact of aggregate consumer spending on total output, employment and prices. Very little attention is devoted to the actual content of consumer spending or its determinants. Microeconomics, on the other hand, focuses on the specific forces (tastes, prices, incomes) that influence those decisions. The distinction between macro and microeconomics is also reflected in discussions of business investment. In macroeconomics we want to know what determines the aggregate rate of business investment and how those expenditures influence the nations total output, employment and prices. In microeconomics we focus on decisions of individual businesses regarding the rate of production, the choice of factors of production and the pricing of specific goods (Schiller, 1991). 38 The present study incorporates both the micro and macroeconomics theories. The nature of farming activities prevailing in the region and the policies that impact them dictate this approach. 1.2 Contribution of agriculture to Sudan economy The agricultural sector is considered one of the most important sectors in Sudan economy. This is due to its considerable share in the country's gross domestic product (GDP). As a result most of the Sudanese population depend on it for livelihood and employment. It also provides most of the raw materials for the local industry and a large share of exports (Bank of Sudan, 2001). Growth rate in this sector increased from 0.8% in 2000 to 4.7% in 2001. In spite of this its share in GDP decreased from 46.4% in 2000 to 45.6% in 2001. This was due to an increase in the share of the industrial sector in GDP from 15% to 16.6%. In 2002 the contribution of agricultural sector to GDP increased to 46.2% and its growth rate reached 8%. This was due to increase in growth rate of the mechanized rainfed sub sector from 5.4% to 27.1% and the increase in growth rate of the traditional rainfed sub sector from -12.6% to 38.2%. However, the growth rate of the irrigated agriculture decreased from 10.2% to in 2001 to 2.2% in 2002, the growth of forestry sub sector decreased from 5% to 4% and the growth rate of animal wealth sub sector decreased from 6% to 2.5% (Bank of Sudan, 2001 and 2002). Agricultural production is divided into crop production and animal production. The main agricultural crops include cotton, gum arabic, dura, millet, wheat, groundnuts, sesame, and sunflower. Cotton was the main cash crop of the country for decades. But its importance started to decline. Since the 1970s average production dropped from 930 thousand bales to 831 thousand bales and to 432 39 thousand bales during the 1980s and 1990s respectively. It dropped further than this at the beginning of this century. All this was due to shrinking in areas brought under cotton cultivation, a decline in productivity and deterioration in the infrastructure. Cotton production increased from 275 thousand bales during the season 1999/2000 to 396 thousand bales during the season 2000/2001 (44% increase) and decreased by 4.5% to 378 thousand bales during the season 2001/2002. The total sales reached 372 thousand bales during 2001 of which 352.2 thousand bales were exported. The value of cotton exports contributed about 3% of the country's exports during 2001. Gum arabic's importance declined as a major cash crop during the last years of the last decade. After it registered the highest production during 1994/1995 season, about 48.1 thousand tons, production began to drop in the following successive years until it reached 8 thousand tons in 1999/2000 season, then it increased to 15.7 thousand M.T during 2000/2001 season and to 15.9 thousand M.T during 2001/2002 (1% increase). The exported quantities of gum arabic dropped from 24 thousand M.T. in the year 2000 to 22 thousand M.T. in 2001. The value of exported quantities contributed about 1% of the value of country's exports in 2001. Dura production increased in 1999/2000 season from 2347 thousand tons to 2488 thousand tons in 2000/2001 season, i.e. an increase of 6%, despite a reduction in the total area harvested from 10780 thousand feddans to 9988 thousand feddans, i.e. a decrease of 7.3%. This was due to the rehabilitation of the rain-fed agricultural sector and to partial provision of financing, in addition to the fact that the mechanized farming areas were less affected by pests. In 2001/2002 season dura production increased from 2488 to 4394 thousand tons (79.7% increase). 40 Millet production decreased from 499 thousand tons in1999/2000 season to 481 thousand tons in 2000/2001 season i.e. a decrease of 3.6%, due to a reduction in the area harvested. In 2001/2002 millet production increased from 481 thousand tons to 578 thousand tons (20% increase). Wheat production increased from 214 thousand tons in 1999/2000 to 303 thousand tons in 2000/2001season, i.e. an increase of 41.6%. That was due to an increase in the area harvested from 219 thousand feddans to 286 thousand feddans, i.e. an increase of 30.6%, in addition to an increase in productivity from 977 kg/feddan to 1094 kg/feddan. In 2001/2002 wheat production decreased from 303 thousand tons in 2000/2001 to 274 thousand tons in 2001/2002 season (18.5% decrease). This was due to reduction in area harvested from 286 thousand feddans to 275 thousand feddans (3.8% decrease) and the reduction in productivity from 1,094 kg/feddan in 2000/20001 to 8998 kg/feddan in 2001/2002. Sunflower production dropped from 8 thousand tons to 4 thousand tons in 2000/2001 season, i.e. 50% decline. That was due to a reduction in areas harvested from 49 thousand feddans to 13 thousand feddans, a 71.9% decline. There have been a significant development in animal production during the last few years. Average animal production growth rate increased from 5.7% in 2000 to 6% in the year 2001. Its share in the GDP was 21.7%. Total estimates of animal population increased from 124 million head in the year 2000 to 128 million head in the year 2001 (Bank of Sudan, 2001). Livestock resource were estimated in 2002 at 39,479 thousand head of cattle, 48,136 thousand head of sheep, 41,485 thousand head of goats, 3,342 thousand head of camels, 606 thousand head of horses and 6,720 thousand head of donkeys and mules (AOAD, 2003). 41 The average annual area and production of the major crops grown in Sudan for the period 1999/2000 – 2001/2002 are shown in table 1.1. Table 1.1 Average area (thousand feddans) and production (thousand tons) of the major crops grown in Sudan for the period 1999/2000 – 2001/2002. Crop Area Production 355 350* - 13.4 Dura 11496 3076.3 Millet 5845.3 519.3 Wheat 260 255 Groundnuts 357.8 995 Sesames 4478 295 29 5.3 Cotton Gum Arabic Sunflower • Cotton production in thousand bales. Sources: Bank of Sudan Reports, 2001 and 2002. 42 1.3 Results of previous studies in the Northern State: The Northern State is one of the most important agricultural areas in the Sudan, where farmers live on both sides of the river bank. Agriculture is the main economic activity in the state. It is facilitated by the good experience of farmers who are familiar with agricultural practices. The climatic conditions are favourable for the growth of many field and horticultural crops. There are three distinct agricultural seasons in the state, the winter season, the summer season and the flood season. In the winter season, which is the main agricultural season, wheat, broad beans, fennel, garlic, fenugreek, onion, tomatoes and other vegetables are grown. Agricultural production in the state is carried out by private, companies, cooperative and expansion schemes, where production is primarily based on irrigation by pumping from the Nile and underground water. Saeid (1988) in his study of Silame basin, Ibrahim (1993) in his study of Karima Abu-Hamad area and El-awad (1994) in his study of Rubatab area showed that wheat has a negative gross margin while broad beans has a positive gross margin. Elfeil (1993) in his study of the Northern State found that the horticultural crops, except mangoes, generate very high returns relative to the field crops. However, the field crops, wheat, broad beans and sorghum all have positive gross margins. Osman (1996) reported that in the River Nile State broad beans is most profitable and wheat is grown for food security purposes. Mohamed (1996) in his study of Dongola locality concluded that all crops grown including wheat and broad beans are profitable. Abayazeed (1999) in his study of Dongola locality concluded that wheat is profitable to farmers. The Nile schemes farmers were the most profitable in wheat production than matarat farmers. Mohamed (2000) in his study of matarat farming system in Dongola locality stated that the gross margins results revealed 43 that all crops are profitable. Garlic is the most profitable followed by fennel, broad beans and finally wheat. Mohamed (1996) concluded that the highest cost items for wheat were: irrigation, land rent, cost of fertilizer and harvesting cost. While for broad beans the highest cost items were land rent, irrigation and seed cost. Abayazeed (1999) stated that the cost analysis showed that irrigation cost was the main cost for wheat crop followed by harvesting cost. Mohamed (2000) found that irrigation had the highest share in the total cost of production of winter crops. Elfeil (1993) using regression analysis found that land, labour and farm income are the main factors, which significantly affect the yield of wheat, broad beans and dates, while off-farm income affect only broad beans. Variables like cropping period, mechanical land preparation affect only wheat yield, and variables like the number of trees per feddan, age of the tree, fertilizer amount and number of waterings affect only dates yield. Ibrahim (1993) in his regression analysis found that factors which significantly affect the yield of wheat were: the cost of irrigation, cost of seeds, cost of fertilizer and the cost of labour. El-awad (1994) found that wheat has a negative gross margin and the number of waterings, seed rate, farmer age and farmers education are the main factors which significantly affected the production of wheat. Mohamed (1996) using regression analysis found that the factors which significantly affected the production of wheat and broad beans were: the cost of land preparation, number of waterings, seed rate and fertilizer rate. Hwait-Alla (1998) stated that for wheat yield only the cost of land preparation was statistically significant variable, while the cost of irrigation and farm income were statistically significant variables on broad beans yield. Mohamed (2000) using regression analysis concluded that the number of waterings, fertilizer amount, seed rate, method of land 44 preparation, weeding number, farm income, off-farm income and educational level were the most important factors that significantly affected the winter crops (wheat, broad beans, fennel and garlic). The sum of elasticities of the individual variables indicated the existence of increasing returns to scale for all crops. Abd Elaziz (1999) concluded that land, labour and capital are used inefficiently at varying degrees among farming districts in the River Nile State. Mohamed (2000) results also implied some sort of inefficiency in resource allocation. He attributed that to the inelastic supply of inputs, the risk-averse nature of farmers, lack of credit to purchase such inputs and absence of extension services. As a result there is lack of knowledge about the importance of some agricultural inputs and the recommended rates of application required. Elfiel et al (2001) reported that although resources appeared to be allocated efficiently there were severe constraints on the supply of certain inputs and credit to purchase inputs was virtually unavailable. Given such a state of inelastic supply of some inputs, farmers preferred to minimize risk rather than maximize profit. Abd Elaziz (1999) revealed the following resource constraints to the agricultural production in the River Nile State: a-The shortage of irrigation water was observed during December, January and February. This is the period of high irrigation water consumption because it coincides with stage of flowering and grain filling of dura, wheat, broad beans, chick pea and potato. The main reasons of shortage of irrigation water are: i- limited pump size ii- High cost and unavailability of fuel and spare parts iii- Lack of credit b- Credit is a constraint especially during December, January and February. These are the months of high water consumption and as a result 45 credit is needed to purchase fuel, oil and spare parts and agricultural input. c- Labour is a constraint during January, March and May. These are the months during which planting, weeding and harvesting of winter crops are performed. d- land is a limiting factor in Abu Hamad district and there is no problem of land in Shendi and Eddamer districts. Abd Elaziz (1999) using linear programming model also stated that the comparison of current cropping patterns with optimal ones revealed that comparative and absolute production advantages are not made use of. A free run was examined and the results showed that wheat is not to be produced in the three farming districts in the River Nile State due to its low yield and the crops to be grown are: onion, broad beans, chick pea and dura. Faki et al (1995) employed a linear programming model to analyze various policy options for exposing the potential of Sudan's irrigated sector in enhancing grain production for improved food security, following a precious contribution of rainfed production over the past decade, stated that, the scale of wheat production is an important issue, rather than the decision to grow it. Wheat forms the major winter activity in irrigation schemes, in the absence of which land remains idle. There are limits to the expansion of cotton at the expense of wheat, imposed by many factors such as its competition with sorghum and groundnut in the summer months and the capacities of its available markets potential. There will be a need to utilize idle land and water resources in winter when Summer crops other than cotton are harvested, and wheat forms the most economic alternative. Optimal area combination of cotton and wheat for maximum real net returns to land and water in the Gezira scheme, as delineated with variations in the areas of summer crops using a linear 46 programming model and analyzed by a quadratic regression model, expose complementarities between the two crops up to a maximum cotton area of 431000 feddans. Such a situation reveals the importance of growing wheat up to levels of about 512000 feddans without competition with cotton. From the stated results of previous studies the following conclusions emerge : i- Horticultural crops are more profitable to farmers in the Northern State than the field crops. Within the field crops, the broad beans and the minor crops are profitable, while the wheat crop comes at the tail if it scored positive gross margin. ii- The highest cost items for the production of field crops are, cost of irrigation, land rent, cost of fertilizer, cost of seeds and harvesting cost. iii- The resources that are constraints to the agricultural production are, land, labour, capital and irrigation water. iv- Land, labour and capital are used inefficiently and this is due to the inelastic supply of inputs, lack of credit to purchase such inputs, riskaverse nature of farmers and absence of extension services. v- Comparative and absolute production advantages are not made use of. 1.4 Problem statement and justification The Northern State is expected to have great contribution to the agricultural production of the country due to the following advantages: i- The favourable climatic conditions which are suitable for the production of most important crops. Most of the country's demand for broad beans, spices and almost all the date palms production is met by this state. The total wheat area cultivated in the Northern State for the year 2001/2002 was 71160 feddans compared to 311000 feddans cultivated in the country (i.e. 23%) and the total wheat production in the 47 state was 71160 tons compared to 363000 tons produced in the country (20%). About 62370 feddans of the broad beans crop were cultivated in the Northern state compared to 138095 feddans cultivated in the country (45%) and about 53326 tons produced by the state compared to 146000 tons produced in the country (37%). ii- Availability of irrigation water from the River Nile, in addition to the ground water. iii- The soil in the Northern State is reported to be highly fertile patricianly at the banks of the River Nile and irrigation water is of excellent quality. iv- The farmers of the Northern State are experienced and skilled farmers. v- Availability of improved technical recommendations for most of the winter crops. In addition to these advantages the construction of Merowe dam which was already started is expected to enhance the agricultural production in the state. Despite the opportunities mentioned above, the Northern State faces manifold agricultural problems which, include: i- High cost of production which can be attributed to: a- High cost of inputs that arises from the fact that irrigated agriculture in the state employs imported inputs such as pumps, spare parts, lubrication oil, fertilizers and chemicals. b-Diseconomies of scale: This results from the small size of holdings and the size tend to decrease overtime due to erosion and inheritance practice. ii- low crop yields: Low crop yields are attributed to low levels of inputs used resulting from high cost of these inputs and sometimes unavailability. iii- Low incomes from agricultural production. 48 This mainly results from: a- low crop prices: Farmers usually sell crops at very low prices after harvest due to their high need for cash and lack of credit, marketing and storage facilities in the state. b- Government policies especially taxation on inputs and outputs. The previous studies pertaining to the economics of agricultural production in the Northern State investigated farmer’s income using gross margin analysis, identified the individual factors contributing to crop yields using regression analysis and few of them tackled the problems of efficiency of resource use. No study tried to address the questions of the optimum cropping pattern in the state. Abdelaziz (1999) using the linear programming techniques addressed the question of optimization for the River Nile State, but the farming system in the two states are different. The land resource is considered more scare in the Northern State relative to that in the River Nile State and there is wide variation in the soil fertility. The soils in the River Nile State on the other hand are relatively more homogenous, in additions to the fact that agricultural activities in the two states are different. There is thus a need for a study that would advise farmers on the best way of allocating their resources to maximize profit. 1.5 Objectives of the study The overall objective of the study is to evaluate the farming system in the state, and to formulate an optimum resource allocation cropping system. The specific objectives are: 1- To identify the constraints facing the agricultural production in the state. 49 2- To compare economic efficiency of resources use between different localities and schemes in the state. 3- To determine the optimum cropping pattern and resource allocation for the farmers in the state through linear programming model. 4- To test the impact of certain policies on resource allocation and farm’s income. 5- To draw some policy implications which will, hopefully, help in improving productivity, production and farmer's income in the state. 1.6 The hypotheses The hypotheses to be tested include: 1- Factors of production, namely, land, labour and capital are allocated efficiently. 2- Farmers are risk takers. This influences most of their production decisions. They, for instance, try to maximize profit rather than minimize the risk of producing certain crops. 3- Irrigation water, credit, labour and land are not constraining the agricultural production in the state. 4- Farmers make use of the comparative and absolute production advantages. 5- The number of irrigations and other inputs are applied according the amount recommended by research authorities. 6- Land preparation is adequate and the productivity of crops is high in the state. 1.7 Research methodology 1.7.1 The survey area According to the existing administrative structure the Northern State is divided into 4 localities: Wadi- Halfa, Dongola, El-dabba and 50 Merowe. Each locality is divided into a number of administrative units and each of which consists of a number of villages. According to the population census of 1993, the population of the state is 510569. There is big variation in the population size in the different localities. The population of Dongola locality is about 238780 (46.7%), followed by Merowe locality where the population is about 127043 (24.9%), while the population of El-dabba and Halfa localities are about 81986 and 62654 (16.1% and 12.3% respectively) (NSMAAI, 1999). The total exploited land in the state is about 387805 feddans, out of which 56% in Dongola, 19% in Merowe, and 13.76% and 11% are in Eldabba and Halfa respectively. The total estimated number of farmers in the state is about 267191 (about 52% of the total population in the state). About 58% of them is in Dongola, 18% in Merowe, while 12% and 11.84% are in El-dabba and Halfa localities respectively (Table, 1.2). Table 1.2. The exploited agricultural areas (fed.) and the number of farmers in the state by locality Locality Exploited land % Number of % farmers Dongola 217012 55.96 155477 58.19 Merowe 73547 18.96 47997 17.97 El-dabbba 53335 13.76 32077 12.01 Halfa 43911 11.33 31640 11.84 Total 387805 100 267191 100 Source: NSMAAI, 1999 51 1.7.2 Sources of data The study depended mainly on primary data, which were collected by direct interviewing of sampled farmers using a structured questionnaire, conducted in 2003 season. The study also used secondary data collected from the relevant institutional sources. The available data and cited literature were used to describe the existing farming system in the state. 1.7.3 Sample design and sample size Sampling is the selection of part of an aggregate material to represent the whole aggregate. The level of precision in sampling result can be improved either by increasing the sample size or by stratification of the mother population into strata to create more homogenous subsamples. Increasing the sample size is usually restricted by limited level of resources, where stratification reduces the overall population variance to within strata variance since each will properly be represented in the sample. Hence, stratification is very frequently employed in sample design because it increases homogeneity within the strata and allows the researcher to take a small representative sample to study the population. The sample size to be chosen, however, is a trade- off between level of precision and resources available in terms of cost, time and facilities. A multistage stratified random sampling technique was used. The area of the Northern State is very large and there are wide distances between the different localities. Hence only two localities were selected to represent the Northern State. Dongola locality represents the northern part of the state, while Merowe locality represent the southern part of the state. These two localities together contribute about 74.92% of the exploited lands and about 76.16% of the number of farmers in the state. 52 Dongola locality consists of a number of administrative units. These are, Karma, Argo, Elhafeer, Sarg Elneil, Rural Dongola, Dongola city, Elgolid, and Dongola Elajoze. The administrative units of Merowe locality on the other hand, are Merowe, Merowe city, Rural Elgureir, Rural Nuri, Rural Karima, Rurl Elzuma, Rural Elarak and Karima city. All these administrative units, except Karima city, were represented in the sample. Since each administrative unit consists of a number of villages, a random number of villages from each administrative unit was chosen and from these villages a proportional number of random farmers were selected. The schemes owners and farmers were interviewed using two different questionnaires. The actual number of farmers interviewed was 140. Dongola locality represented by 80 farmers, while the remaining 60 farmers represented Merowe locality. The schemes owners interviewed were 46 in both localities using a separate questionnaire. The information included in the farmer's questionnaire included data relating to inputs and outputs of agricultural activities. More specifically it related to use and prices of inputs, such as land, labour, capital, fertilizers, irrigation, chemicals ..etc. Information related to different agricultural operations such as land preparation, planting, weeding, irrigation and harvesting is also included. The questionnaire also include a part concerning yields, prices, and marketing. The scheme owners questionnaire included information about irrigation facilities such as pump size, life span of the pump, cost of maintenance and cost of fuel. The questionnaire also included information on number of farmers in the scheme, areas irrigated and working hours. (Appendices 3 and 4). 53 1.7.4 Analytical techniques In order to achieve the stated objectives the survey data collected were subjected to both descriptive and statistical analysis. Gross margin analysis, Cobb-Douglas production function and the linear programming (LP) techniques were applied. The intended LP- matrix comprised cultivation activities of winter crops, sales activities and hiring labour activities. The constraints on the matrix included land, irrigation water, labour, capital and subsistence requirements. The Lp matrix was employed to test different scenarios (sensitivity analysis). This was done through changing the parameters of the basic run. The scenarios included changes of cost of production, changes of products prices, changes of crops productivities and improved production technologies. The results of the various runs were used for testing the stated hypotheses and as options for planners and policy makers to increase productivity, production, and farmers income in the state. Heady and Candler (1973) reported that, linear programming can serve as an important management aid to individual farms or marketing firms. The method also promises to be useful in aggregative analysis relating to regional production patterns, interregional competition and many policy problems. Linear programming has been used as a research tool by agricultural economists, to specify profit mixes of commodities produced by marketing firms, to specify cost minimizing methods of processing products such as fertilizer or mixed feeds, to specify special equilibrium interregional patterns of resource use and product specialization in agriculture, and to solve related types of problems. It can be used in examining the effect of institutional restrictions on optimum production patterns and resource use. Ordinarily, the objective will be one of maximizing or minimizing quantities. The quantity to be maximized can be profit of a farm, the quantity to be minimized may be the cost of production. In the context of farming, 54 programming and linear programming in particular, achieve the objective through allocation of limited resources to the best alternative course of action to generate the maximum benefit while meeting all physical and logical constraints imposed on the farm. The advantage of linear programming is that it allows solving complex problems and on top provides the value for the objective function (optimal solution). Furthermore, the by-products of the solution provide rich information on economic issues such as prices and average productivities. Dent, Harison and Woodford (1986) reported that, linear programming is one of a class of options research methods referred to as mathematical programming. It was developed in the 1940's for use in military options, but was subsequently found well suited to solving a range of business and commercial planning problems. Today, it is one of the most widely used operations research techniques for planning purposes. The linear programming technique is a general methodology that can be applied to a wide range of problems with the following characteristics: 1- A range of activities are possible and the manager (farmer) can exercise a choice in the selection of activities that he wishes to put into operation. 2- Various constraints prevent free selection from the range of activities and 3- A rational choice of a combination of activity levels is related to some measures of manager's utility (for example, profit) associated with each of the activities, that is an objective which can be quantified. Hazel and Norton (1986) reported that, linear programming has proved a very flexible tool for modeling complexities. However, the full power of the approach depends on knowledge of a range of modeling techniques. 55 The Cobb-Douglas production function was specified as a suitable functional form for estimating parameters to be used in allocative efficiency. Upton (1976) summarized the advantages of this function in the following points: i- It is easy to estimate. ii- It resembles reality better than the linear form. iii- Its theoretical fitness to agriculture. iv- It is easy to understand and easy to interpret. v- The regression coefficients immediately give the elasticities of the product with respect to the factors of production. vi- It permits the phenomenon of diminishing marginal returns without using degrees of freedom. Heady and Dillon (1961) remarked that the power function seems to be the most appropriate, partly because the small number of degrees of freedom involved in the estimation of multiplicative model seems logically appropriate. 1.8 Organization of the thesis The thesis consists of seven chapters. Chapter one: Introduction. Chapter two gives a background information on the Northern State. Chapter three describes the socio-economic characteristics and farmer’s income in the Northern State. Chapter four includes a thorough explanation of the theoretical framework, discusses the results of used production function and analyses allocation efficiency. Chapter five includes a thorough explanation of the theoretical framework, specification of the model structure and empirical specification of the linear programming model. Chapter six presents and discusses the results 56 of the basic linear programming model and discusses the results of the different scenarios. Chapter seven presents the summary, conclusions and the recommendations of the study. 57 CHAPTER II BACK GROUND INFOFMATION ON THE NORTHERN STATE 2.1 location and administrative structure The Northern State which is lies between latitude 16 and 22°N and between longitude 20 and 32°E is administratively divided into 4 localities, Wadi Halfa, Dongola, El-dabba and Merowe. The state bordered by the Rebublic of Egypt to the North, the River Nile State to the east, North Darfur State and Libia to the West and Khartoum State to the South. 2.2 Human resources According to the census of 1993, the population of the Northern State is 510569. This is a relatively low population density (1.47 person/km2) compared to other parts of the country. The low population density, which is due to the migration to other parts of the Sudan and abroad is reflected on the unavailability of agricultural labour and increase in the use of agricultural machinery for many agricultural operations. Most of the population in the state live in rural areas, where about 446,445 of the population (85.5%) live in villages. The urban population is concentrated in Dongola, Karima, Merowe, El-dabba and Halfa cities. The main tribes in the state are, Donogla, Shaigia, Bedairea, Sukkoat, Mahas, Kababeesh, Hawaweer and Hassania (NSMAAI,1999). 2.3 Climate and vegetation The Northern State lies in the arid and semi- arid climate zone, where average annual rain-fall is less than 100mm (NSMAAI, 1996). This climate is characterized by distinct seasonal months, where the summer season extends from mid April till the end of September. The 58 average highest temperature during this season is 45° and the average lowest temperature is 30°. The winter season extends from October till the mid April and is characterized by cold to very cold climate without rainfall. The natural vegetation is mainly of a desert and semi- desert type. The following types of trees, shrubs and grasses exist along the Nile banks, seasonal valleys (wadies) and high terrace soils: Acacia ehrenbergina, Cappris deciduas, Panicum tygidum, Tamarix aphylla, Acacia nilotica, A. albida, A. seyal, A. tortilis, Salvadora persica, Calatropis procera, I. Nilotica, Fageria critica, Hyphane thebaica, Artislid sp, Capparis deciduas, Macrua crassifolia, Cyndom dactylon, Indigofera spp., Cyperus rotudus (IFAD, 1995). There are 14 forestry nurseries distributed in the state. Tables 2.1 and 2.2 show the names and areas of reserved forestries and forestries to be reserved in the Northern State. Table 2.1. Names and areas (fed.) of reserved forestries in the Northern State. Forestry name Locality Area (fed.) Kadraka `Dongola 150 Barakat Elmiloak Dongola 285 Koadi Dongola 35 Total 1785 Source: NSMAAI, 2002 59 Table 2.2. Names and areas (fed.) of the forestries to be reserved in the Northern State Forestry name Locality Area (fed.) Eltarfa Dongola 500 Argi Dongola 225 Shibaika Dongola 1100 Agabt Elhattani 500 Total 2325 Source: NSMAAI, 2002 2.4 Types of agricultural lands The total area of the Northern State is about 347 thousand km2 (85.5 million feddans) out of which about 5% is suitable for agricultural production. However this agricultural area is not fully utilized (AOAD, 1995). Depending on the soil type, cultivated lands is divided into: a- Islands and gerif lands: These are highly fertile soils since their fertility is renewed annually by silt deposits due to river flood. The productivity of these soils is estimated to be about 20-25 sacks/fed, for most of the winter and summer crops (NSMAAI, 2002). b- River banks lands: These are the narrow strip lands along the river banks and they are characterized by highly fertile soils. c- High terrace lands: These soils are located away from the Nile. They are alkaline and less fertile than those close to the river. These lands include most of the expansion schemes which aim to rehabilitate wheat production in the Northern State. 60 d- Irrigated basins: These basins are covered annually due to river flood. The names and areas of the important basins are shown in Table 2.3. Table 2.3. Names and areas of the important irrigated basins in the Northern State Name Area (fed.) Elsilame basin 55000 Latti basin 6000 Argi basin 3000 Elaffad basin 3000 Elbakri basin - Source: NSMAAI, 2002 e- Valleys and low lands These include wadi Elmugadum, wadi Elmalik, wadi Elkhuai, wadi Arroup and Elgaoup low land. Depending on the type of the ownership, lands can be divided into three types: The first type is land registered as free holdings known as "milik" land. The area of milik land is finite, susceptible to loss by river washing “Hadam” and subjected to excessive fragmentation. The milik land owner can sell it but this rarely happens because land has a very high prestige value. The second type is "Miryi" lands adjacent to their milik lands. This principle is known as the right of frontage. Miryi lands include all lands which are not registered in the year 1905 and are government lands leased under certain regulations. The third type of lands is the hired government lands which are marginal lands of low quality than the Miryi lands (Mohamed, 1996). 61 The average size of holding in the upper terrace lands is larger than the lower terrace soils lands. The government lands were leased to the farmers on the average farm size of 10 feddans. 2.5 Sources of irrigation water The River Nile is the main source of irrigation water supply. The Nile flow is more than adequate to supply needed quantities of irrigation water. The River Nile water is of good quality because of the silt deposits it brings to the field in the flood season. Beside this the research and scientific analysis proved that there are abundant amounts of underground water suitable for agricultural and domestic purposes. This is due to the fact that large areas of the state lie within the Nubian sand stone aquifer (NSMAAI, 1997). The cost of lifting underground water is extremely high relative to the cost of lifting the surface water. The underground water quality is sometimes doubtful and is by no way comparable to the Nile water (Elfeil, 1993). 2.6 Agricultural schemes Agricultural production in the state is carried out by agricultural schemes of which the following four types are found: i- Private pump schemes. These schemes are characterized by the presence of pumps (3-4 inches diameter) for lifting water for irrigation purposes. The land here is either owned or leased from the government. These schemes produce both field and horticultural crops. The total number of the private schemes in the state is 21700, out of which 6697 schemes (30.9%) use underground water. The total area of these private schemes is estimated at 217932 feddans out of which 83685 feddans (38.4%) are irrigated from 62 the Nile and 134247 feddans (61.6%) are irrigated by underground water, Table, 2.4 illustrates: Table 2.4. Numbers and areas (fed.) of private schemes in the Northern State by locality Locality Nile Underground irrigation irrigation Total Number Area Number Area Number Area Halfa 1817 22350 154 760 2021 39482 Dongola 3173 23846 11412 114120 14670 331752 El-dabba 337 9560 1657 9476 2027 43809 Merowe 1370 28229 1780 9891 3193 62686 Total 6697 83685 15003 134247 21911 477729 Source: NSMAAI, 2002 The private schemes can be of joint-ownership for pumps where household members or blood related groups who own or leased land get entitled of small irrigated pump. The cost of the pump is either through sharing by some or all economically active household members or by relative migrants as a financial support for their families. The cost of irrigation is paid by the share holders (Mohamed, 1996). ii- Agricultural companies pump schemes Land lords who are either traders or local leaders, not directly involved in agricultural production share or individually own large sized irrigation pumps. The total number of companies schemes in the state are 66, with the area of 178572 feddans as shown by Table 2.5. 63 Table 2.5. Numbers and areas (fed.) of the companies schemes in the Northern State by locality Locality Number Area Halfa 1 1900 Dongola 39 153700 El-dabba 11 8612 Merowe 15 14360 Total 66 178572 Source: NSMAAI, 2002 These companies schemes include the government pump schemes which are in the past publicly administered and run by government staff. They have been transformed to agricultural companies since May 1996. However, a decision was made in the year 2001 to put these schemes under the direct supervision of the national government. Table 2.6 shows dates of construction and areas of these schemes. Table 2.6. Dates of construction and areas (fed.) of the transformed schemes in the Northern State Scheme Date of construction Area Nuri 1917 3832.5 Elgureir 1917 2464.5 Elkulud 1927 1518.5 Ganati 1927 1800 Elgaba 1917 2674.29 Elburgage 1943 7000 Total 19289.79 Source: NSMAAI, 2003 64 The crops grown in companies schemes are, wheat, broad beans, sorghum, and horticultural crops. iii- Cooperative schemes In this type of schemes a group of farmers or individuals purchase a large irrigation pump (12-36 inches diameter). These schemes are managed by boards of directors usually composed of local traders, government, employees, land owners and farmers. The board is either rewarded in cash in monthly payment or in kind at the end of the season. The scheme is responsible for provision of irrigation water. The main irrigation canals are shared by farmers but each farmer is responsible for his miner canals. Farmers either cultivate their own land or land of others on rent basis. Cooperative schemes face more problems than do other types of schemes because of managerial weaknesses in scheme's boards of directors and financial problems. During the last years the government encouraged the pump owners and farmers to carry out operations jointly and round up their small holders to decrease the cost of production (Mohamed, 1996). The total number of cooperative schemes in the state is 145 with the total area of 69925 feddans as shown by Table 2.7. Table 2.7. Number and areas (fed.) of the cooperative schemes in the Northern State by locality Locality Number Area Halfa 49 13472 Dongola 46 30086 El-dabba 22 16161 Merowe 28 10206 Total 145 69925 Source: NSMAAI, 2002 65 iv- Expansion schemes These are schemes where the government has contributed in their construction together with the beneficiaries efforts to ensure the increase of cultivated area or to group the small farmers in order to benefit from economies of large scale production. This type of schemes is known as expansion schemes. They have large areas and are under the direct supervision of the state ministry of agriculture. 2.7 Land utilization 2.7.1 Agricultural seasons Agriculture is the main economic activity in the Northern State. Agricultural production in the state is facilitated by the good experience of farmers who are familiar with agricultural practices. The climatic conditions are favourable for the growth of many field and permanent crops. There are three distinct agricultural seasons in the state. These are, the winter season "shitwi", the summer season "seifi" and the flood season "damira". In the winter season, which is the main agricultural season, wheat, broad beans, fennel, garlic, fenugreek, onion, tomatoes and other vegetables are grown. In this season the climatic conditions are favourable for crop growth, irrigation requirements are least. On the other hand, summer season conditions are unfavourable for most of the crops, water levels are low and irrigation costs are high. Consequently, only small areas are cultivated. Sorghum is the main crop grown in the summer beside legumes. During the flood season farmers cultivate sorghum, maize, lubia and vegetables. 2.7.2 Fruit trees The Northern State is specialized in production of fruits which include dates, mangoes and citrus. Abd Alla (1998) stated that, farmers in 66 the Northern State focused on the growing of date palms and there is a continuous expansion by growing of new off-shoots since date is a cash crop and is assumed to be the most profitable as some cultural practices such as land preparation, weeding ..etc. are not needed seasonally. Elfeil (1993) reported that it is very clear that the horticultural crops (except mangoes) are generating very high returns relative to the field crops. These very high returns justify the noticeable movement towards more production of the horticultural crops at the expense of the field crops, which to day are confined to the areas where the production of horticultural crops is not suitable, such as in areas susceptible to the river flood. Table 2.8 shows the number of date palms in the Northern State. Table 2.8. Estimated number of date palms in the Northern State by locality Locality Estimated number % of date palms Halfa 796391 18.1 Dongola 1545840 35.2 El-dabba 632582 14.4 Merowe 1416313 32.3 Total 4391126 100 Source: NSMAAI, 1996 Barakawi is the major variety grown in the state. The results of the study carried by Abd Alla (1998) in Merowe area showed that Barakawi variety contributed about 78.36% among the population of date palms, followed by Jaw trees (11.82%) and Mishrig Wad Khatib variety (3.35%). Gondeila and Medina varieties contributed 2.52% and 0.86% respectively, while Bentamoda and Mishrig Wad Lagai which are high quality varieties contributed only about 0.66% and o.67% respectively. The important mango cultivars grown in the state are: Abu samaka, Baladi, Hindi, Bashaier, Mabrouka, Singrest, Dibsha, Maygoma, Sinnari, 67 Shendi and Galb altour. However, farmers today focus on growing Abu samaka cultivar due to the high demand for export. The most important types of citrus trees grown in the state are oranges and grapefruit. 2.7.3 Field crops Wheat is the major food crop in the state. During the last years, wheat area continuously increased through the wheat rehabilitation programme which aimed at increasing the wheat cultivated in the state as well as improving the crop yield. The increase in the area of wheat is mainly due to the support given by the government for promotion of wheat expansion. The support is in terms of improved seeds, fuel and credit. Abayazeed (1999) listed the advantages which are reported by NSMAAI that forced the country to consider the state and relocate the wheat on its land in the following points: i- The appropriate climate for the production of wheat. The temperature is always between 6-30°c in winter and wheat requires 10-25°c in its different stages of growth. ii- Availability of fertile land along the banks of the Nile in the lower terrace lands and also ability of further expansion in upper terraces and valleys that run across the desert. iii- Availability of water resources from the River Nile and underground water. iv- The very long experience of the farmers of the state. v- Very high productivity, the average ranged between 13-15 sacks/feddan with ability to obtain 20 sacks/feddan if the technical packages have been applied. Faki et al, (1994) reported that wheat competitiveness has remained controversial. It is affected by many factors, the most important of which are the yield-related technology 68 levels, weather variability, the presence of multiple exchange rate in the economy as a whole, as well as differential levels for the valuation of inputs and output. Ramram (2002) concluded that wheat has more competitiveness with adoption of new technology. The competitiveness of wheat was highest in the Northern Region compared to the Gezira scheme. The areas cultivated by different field crops for the last twelve years are shown in Table 2.9. It is clear from Table 2.9 that the wheat crop occupies the largest cultivated area in the Northern State, followed by broad beans. However, a sharp decline of wheat area in the year 2001/02 is recognized. The yields of wheat and broad beans have improved, but they are still low compared to those, which have been obtained at research stations. They could increase if traditional methods are gradually replaced by improved practices and if timely and adequate supplies of inputs are available. Estimates of the yields of the important field crops cultivated in the state for the period 1990-2002 are given in Table 2.10. Table 2.10 shows that the productivity of wheat for the seasons 90/91-2001/02 was ranged between 6 and 15 sacks/feddan, with an average being 10.5 sacks/feddan and the productivity of broad beans ranged between 4 and 12 sacks/feddan, with an average of 8 sacks/feddan. The table also shows that the average productivity of sorghum and zea maize for this period was 5.7 and 5.6 sacks/feddan respectively, and the average productivity of fennel, garlic and fenugreek for the same period was 7.8, 33.8 and 4.2 kantar/feddan respectively. 69 Table 2.9. Areas (fed.) of major field crops grown in the Northern State during the period 1990/91-2001/02 Crop 90/91 91/92 92/93 93/94 94/95 95/96 96/97 97/98 98/99 99/00 Wheat 55000 40000 25361 60000 100000 129000 151844 159150 102290 112248 2000/01 2001/02 120603 71160 Broad beans 35000 35000 24864 30000 51200 56569 61569 65470 60886 59170 74727 62370 Sorghum 10000 12000 13000 16000 20000 20000 29000 33000 21925 31157 25316 - Zea maize 10000 8000 10000 5000 8000 10000 19258 28223 11904 25856 14225 - Fennel 750 8000 900 1000 1000 2000 2500 4209 3177 7865 5389 9488.5 Garlic 5000 5500 6300 5000 65oo 10000 1000 1414 3177 2227 1866 2104.5 Fenugreek 400 450 600 700 900 1500 900 1005 923 2245 1778 1648.25 Source: NSMAAI, 2003 21 Table 2.10. Average productivity per feddan of the main field crops grown in the Northern State for the period 1990-2002 Crop Unit Wheat Sack* 90/91 91/92 92/93 93/94 94/95 95/96 96/97 97/98 98/99 99/00 00/01 01/02 6 7 7 9 10 13 14 15 9 12.5 13 10 Broad beans " 5 5 6 7 7 9 10 12 4 10 12 9 Sorghum " 4 6 5 7 5 5 8 3.5 5 6 8 - Zea maize " 4 4 6 5 7 5 5 8 3.5 6 8 - Fennel Kantar** 6 6 7 9 8 7 10 7 8 8 10 8 Garlic " 20 20 25 30 25 30 40 40 40 45 45 45 Fenugreek " 3 3 4 5 4 4 5 5 6 - - 2.5 * One sack is approximately 95kg ** One kantar = 100 Ibs Source: NSMAAI, 2003 22 2.7.4 Animal wealth The Northern State is free from animal diseases and is characterized by raising good local breeds of animals. Table 2.11 shows the types and number of animals in the state. Table 2.11. Types and number (head) of animals in the Northern State by locality Locality Cows Sheep Goats Camels Donkeys Total /Horses Halfa 5633 137779 117562 1626 26782 289382 Dongola 125518 783030 284658 11221 114076 1318503 El-dabba 16868 101008 100007 5707 28609 252199 Merowe 19001 333933 248437 22888 75327 699586 Total 167020 1355750 750664 41442 244794 2559670 Source: NSMAAI, 2002 It is clear from the table that most of the animal wealth is concentrated in Dongola locality (about 42.8%), followed by Merowe locality (32.2%). The variation in number of animals from locality to another affected directly distribution of farmers incomes in the state. 2.8 Agricultural inputs 2.8.1 Seeds Farmers in the Northern State usually use traditional varieties which are obtained from the previous harvest as seeds. In addition the NSMAAI and the Agricultural Bank of Sudan (ABS) provides seeds to the farmers in the state especially wheat seeds. Some farmers obtained seeds from the local markets (Mohamed, 2000). 21 2.8.2 Fertilizers The main sources of fertilizers in the state are ABS, Farmer's Bank, Agricultural Supply Fund (ASF) and the local markets. The main problem facing the farmers with respect of this input is its higher cost. 2.8.3 Pesticides Plant protection department and local markets are the main sources of pesticides in the state. The operation of pests and diseases control is not applied by all farmers due to scarcity and high cost of pesticides and the poor knowledge about the importance of pesticides. 2.8.5 Agricultural credit Credit in the Northern State is provided by the branches of ABS which are scattered in the state. The loans provided by ABS for the Northern State in the year 2002 and 2003 contributed about 17% and 10% respectively of the total loans provided by the bank for the country (ABS records). The ABS provides short and intermediate loans. Table 2.12 shows the amount of loans provided by the ABS to the farmers in the state for the years 2002 and 2003. Table 2.12. Types and amount of loans (thousand SD) provided by the ABS to the agricultural sector in the Northern State for the year 2002 and 2003 Type of loan 2002 2003 Seasonal 1,119,436,68 1,504,280,04 Intermediate Total 207,150,00 130,575,60 1,326,586,68 1,634,855,64 Source: ABS, records 22 Other banks, such as Farmer's Bank also provide loans to the farmers. The banks lending terms is depend on "Morabaha" system, where Morabaha margin for the season 2002/03 was 15% per annum. Another source of credit is the ASF which extends fund loans for rehabilitation and establishment of new projects. The loans provided by the ASF are lending as "Gard Hassan" i.e a free loan where there is no payment of interest or cost of lending. An informal type of credit is provided by land lords, merchants and scheme owners to the farmers as "Sheil"1. Another informal type of finance is the assistance and remittances from relatives but its contribution to agriculture is limited. Mohamed (2000) reported that the poor financial resources of the farmers and the high cost of agricultural operations and inputs made the availability of credit very important in the state. However, the low prices of crops especially for the wheat crop, hinder the farmers ability to repay the loans. 2.8.5 Irrigation inputs Farmers in the Northern State use pumps for lifting irrigation water. The high cost of petroleum products and spare parts increase the cost of irrigation. Another problem facing farmers in this respect is the weak maintenance facilities for the pump and lack of trained technicians. 2.9 Marketing The Northern State is separated from Khartoum, the main commercial center of the country, by 300 to 500 km, which in the past is connected with a rough unpaved road. Today most of this road which is 1 Sheil is an informal credit, which is repaid in kind from the newly harvested crop in question based on pre-season agreed upon-price. 23 known as "Shirian Elshamal" was paved. A railway line connects Khartoum via Eldamer and Atbara along the Nile with Karim at the eastern edge of the state. A railway connection also exists between Port sudan and Karima via Atbara. Elfeil (1993) reported that, the marketing of the crops in the state is characterized by being free of government intervention. Cash crops are usually sold immediately after harvest at very low farm gate price because of the need for cash and because the individual farmers produces is too small an amount to be moved to urban centers. Dates, beans and most of the tradable agricultural products are normally sold to local traders who usually lend money, in kind or in cash, to the farmers in terms of allowing them to borrow the commodities they want from their shops and pay them later after harvest. The farmers are then obliged to sell their products to the traders since they need to come to borrow again. The selling process usually take place right after harvest when the prices normally are at their lowest levels. The traders can then store the product till the prices are improved. Table 2.13 shows the pattern of whole sale prices of different crops in the Northern State during the year 2000. The marketing channel in the state is illustrated in Figure 2.1. 24 Table 2.13. pattern of whole sale prices (SD) of different crops in the Northern State, during the year 2000 Crop Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Wheat 8250 8200 7900 5900 6500 6600 6500 6600 7243 7243 7433 Broad beans 18500 22500 13800 12700 16170 15000 16000 17000 17642 17642 12880 Fennel 12000 15000 12000 10000 9900 9000 9000 9600 12628 12628 14206 Fenugreek 16900 16000 9900 10500 10000 11200 12000 13000 12714 12714 1316 Sorghum 2500 4000 5500 3600 3800 3900 4500 4700 4986 4986 3500 Barakawi dates 4500 3500 3800 4000 5000 4500 6000 5500 4165 4165 3892 Jaw dates 2250 1700 1800 1900 1800 18000 2000 2600 1947 1947 1796 Source: NSMAAI records 21 Figure 2.1. The marketing outlet for field and horticultural crops in the Northern State. Producer Whole sealer Middlemen Factory Export Local trader Consumer Within The Northern State Whole sealer Retailer Export Consumer Within Khartoum State 1 2.10 Storage and processing Proper storage facilities are unavailable in the state. Broad beans and dates are stored in sacks and subjected to sunlight to prevent insects infestation. The traditional stores constructed from local materials are used for storage of some crops especially onion. Karima date factory is the only date factory in Sudan. It was established in 1959 for the purpose of fumigation, cleaning, grading, processing and packing of dates. By-product such as syrup, vinegar and alcohol are produced on exploratory scale. The maximum capacity of the factory is 500 tons per year, but the factory is working below capacity since commenced production. Another factory in the state is kareima canning factory, which is produces mainly on tomato paste, in addition to processing of other products. 2 CHAPTER III THE SOCIO-ECONOMIC CHARACTERISTICS AND FARMER’S INCOME IN THE NORTHERN STATE This chapter describes the socio-economic characteristics of farmers and the existing farming system in the Northern State. It includes information on the general characteristics of the household heads, the family and the utilization of resources as indicated by the results of the survey conducted by the author in season 2003. The chapter also includes estimates of the farmer’s income using gross margin analysis. 3.1 The general characteristics of the household heads 3.1.1 Farmer's age Age has an influence on the quality of farmer's decisions and attitudes towards accepting new ideas and in turn has an important effect on output of an individual. Elhadari (1968) stated that at age more than 50 years the propensity to manual effort can be expected to be decreased with advanced age. Upton (1979) stated that, the farmer's age has an influence on management performance although the overall direction of this influence is not clear. On the one hand as man ages, he gains experience and one would expect his decision making ability to improve. On the other hand it has been found that goals change, with increasing age, usually towards leisure and reducing work. The results of the survey showed that the average age of the farmer was 45.1 and 48.3 years in Merowe and Dongola localities respectively. This indicated that most of the farmers are within the active age group (15-64 years) (Table 3.1). 3 3.1.2 Marital status All the farms in the sample are managed by males farmers. Table 3.1 shows that about 18.3% and 11.3% of the respondent farmers in Merowe and Dongola localities respectively were not married. This indicated that many farms are headed by young farmers. Ali (1976) found that young farmers adopt new ideas more readily than older farmers. Elkhidir (1988) found that the young educated farmers scored high yields. Table 3.1 The general characteristics of the household heads Item Merowe Dongola Average age of the farmer 45.1 48.3 (13.3)* (11.3)* Percent of farmers having no education 10% 18.8% Percent of farmers having khalwa education 5% 5% Percent of farmers having primary education 23.3% 21.3% Percent of farmers having intermediate education 15% 15% Percent of farmers having secondary education 40% 36.3% Percent of farmers having higher education 6.7% 3.8% Percent of not married farmers 18.3% 11.3% *Figures between brackets are standard deviations Source: Author's survey, 2003 3.1.3 Educational levels Education is considered an investment in human resources, and in general it can be defined as the accumulation of experience to prepare an individual for life. Education can change and improve farmers knowledge, attitudes and skills. It helps farmers to grasp changes and adjust more quickly and accurately to them (Omer, 1994). Ban and 4 Hawkins (1988) reported that, better educated farmers are more capable of making their own decisions. The results of the survey showed that, about 18.8% of the farmers in Dongola locality were illiterate, having had no sort of education at all, while in Merowe locality the percentage of illiterate farmers was 10%. The percentages of farmers who attended khalwa and intermediate education were the same in the two localities. The percentages of farmers who attended the primary, secondary and higher education were slightly higher in Merowe than Dongola locality (Table, 3.1). The presence of some farmers who have higher education indicated that farmers in the Northern State are relatively better educated. Wilson (1996) stated that literacy in the Northern State is higher than other parts of the country. 3.2 Family The average family size was 7.4 and 7.6 persons in Merowe and Dongola localities respectively. Accordingly the monthly average man days labour supply in Dongola was greater than Merowe locality (Table 3.2). Table 3.2. The general characteristics of the family in the Northern State by locality Item Merowe Dongola 7.4 7.6 (2.9)* (2.6)* Percent of males 49.3% 49.4% Percent of females 50.7% 50.6% 42 45 Average family size Monthly average man days labour supply *Figures between brackets are standard deviations. Source: Author's survey, 2003 Table 3.2 also shows that about 49.4% of family members in Merowe and Dongola localities respectively were males. 5 3.3. Source of irrigation The results of the survey showed that most of farms in Merowe locality (81.6%) were irrigated from the Nile, while only 36.3% of farms in Dongola locality were irrigated from the Nile (Table, 3.3). Table 3.3. Source of irrigation Source Merowe Dongola Percent of farms irrigated from the Nile 81.6% 36.3% Percent of farms irrigated from underground 11.7% 55% 6.7% 8.7% water Percent of mixed irrigation from the Nile and underground water Source: Author's survey, 2003 The reason is that the underground irrigation in Merowe locality is confined mostly to the high-terrace lands, where soils are sandy, alkaline and accordingly not suitable for cultivation of seasonal crops and mostly cultivated by date palms. In Dongola locality, more than 50% of the farms were irrigated from underground water since there are abundant soils at the lower-terrace lands which can not be irrigated from the Nile. The results of the survey are consistent with the information mentioned in chapter two by NSMAAI which shows that the area of the private schemes irrigated from the underground water in Dongola locality is 114120 feddans, while only 23846 feddans is irrigated from the underground water in Merowe locality. The area irrigated from the Nile in Merowe locality is 28229 feddans compared to 23846 feddans in Dongola locality (Table 2.4). Mohamed (2000) reported that in the 1998 season about 47.5% of the wheat area and 50.4% of the broad beans area in Dongola locality were irrigated by underground water. 6 3.4 Characteristics of the private pump schemes Table 3.4. Characteristics of private pump schemes Item Merowe Percent of 3// pumps 78.3% Dongola 73.9% Percent of 4// pumps 21.7% 26.1 Average number of farmers in the scheme 3.13 4.52 Average area of the scheme (fed.) 9.8 13.5 Average number of feddans that can be 1.6 1.3 irrigated daily Source: Author's survey, 2003 Table (3.4) shows that most of small schemes in the Northern State employ three inches pumps for irrigation. From the table, it is obvious that the scheme area in Dongola locality is larger than in Merowe locality and has more number of farms. The average number of feddans irrigated daily is greater in Merowe due to the quality of soils since most of the schemes in Merowe locality are irrigated from the Nile. 3.5 Agricultural holdings The Northern State is characterized by a narrow strip of fertile soils along the river banks resulting in small holdings and therefore the agricultural production extended to the upper terrace lands (matarat). The results of the survey showed that the size of the agricultural holdings in Merowe locality ranged between 0.3 and 50 feddans, with the average being 10.4 feddans, while in Dongola locality it ranged between 1.5 and 50 feddans with the average being 12 feddans. 7 According to the type of scheme, the average agricultural holding in the private schemes was 11.2 and 13.7 feddans in Merowe and Dongola localities respectively, while in the companies schemes it was 6.9 and 10.5 feddans in Merowe and Dongola localities respectively. 3.6 Land tenure Ibrahim (1993) stated that, registration of land ownership has started at the beginning of the 19th century. Most of the river banks are privately owned. The land owners of those plots have the first right to cultivate land adjacent to their own lands, which after a certain period of time can be registered under their names. The results of the survey showed that, farmers in the Northern State cultivated their own lands (milik), governmental lands which includes (meryi), rented lands or cultivated lands for others on share cropping basis. The size of milik lands in Dongola locality was 50% of the total farm size, while it was only 26.92% in Merowe locality. The governmental and meryi lands contributed about 42.5% and 30.77% of the farm size in the two localities respectively. The remaining 42.3% in Merowe locality and 7.5% in Dongola locality were shared cropped lands (Table, 3.5). Table 3.5. The average farm size (fed.) according to land tenure in the Northern State by locality Type of land Merowe Dongola Size % Size % Milik 2.8 (5.15)* 26.9 6 (8.2) 50 Meryi and governmental land 3.2 (7.6) 30.8 5.1 (6.74) 42.5 4.4 (6.65) 42.3 0.9 (2.97) 7.5 Shared cropped land Total 10.4 100 12 100 *Figures between brackets are standard deviations Source: Author's survey, 2003 8 Farmed land in the Northern State is either privately owned or leased by government to farmers. On the governmental schemes, the remaining 30% belong to the government but leased to farmers. In cooperative pump schemes, 64% of the land is privately owned and 36% is owned by the government. Most of the land under cultivation are relatively small holdings. The structure of the family farm suggests that land is farmed by extended family. A farm unit is frequently made up of more than one farm holding. It may include owned land, share cropped land with other family members or relatives as owners, and leased land from government. Siddig, (1999) stated that there are different crop sharing arrangements in the state but the 50-50 crop sharing arrangement with little variation in the cost sharing structure is dominants. The main reasons behind this crop sharing are: the small sizes of farms, limited land ownership and the high cost of production in addition to other miner reasons. Outdated registration of land is one of the main constraints facing farmers and their accessibility to formal credit. Where credit is accessible it has its own constraints of high cost (interest rate charged), complicated loan insuring procedure and the time of repayment. Another form of share cropping arrangements is the one-third-two-third share cropping, where the tenant paid about 35% of the total variable cost of production and received about 33% of the total return. In this arrangement both the tenant and land owner earned profit that is nearly in proportion to their contributions. The results of the survey conducted by the author showed that private lands can be rented on cash basis or cultivated as rented lands without sharing in the cost of production. It was found that the rental rate ranged between 1/12 up to 1/6 of the produce, depending on the fertility of soils and types of crops grown. 9 3.7 Land utilization 3.7.1 Cropping intensity The cropping intensity, which is the percentage of cropped area to the total cultivated area, in the private schemes approached 100% in Merowe locality and exceeded 100% in Dongola locality, while it approached 100% in the companies schemes of Dongola locality and exceeded 100% in companies schemes of Merowe locality (Table, 3.6). The high cropping intensity is dictated by the fact that agricultural land in the state is limited and the good fertile soils is a narrow strip along the river banks where most of the population live. In addition, there is continuous expansion in growing permanent crops mainly date palms. Table 3.6 Cropping intensity and cropped area in the different seasons in the Northern State by locality and scheme type Item Mreowe Dongola Private Companies Private Companies Cropping intensity 94.3% 121.22% 106.4% 81.3% Cropped area in the winter 55.03% 29.38% 61.39% 73.4% Cropped area in the summer 16.22% 23.86% 27.23% 16.34% Area of the permanent crops 28.75% 46.76% 11.38% 10.26% Source: Author's survey, 2003 Table 3.6 also shows that about 28.8% and 11.4% of the cultivated private schemes area is under permanent crops in Merowe and Dongola localities respectively, while for the companies schemes the area under permanent crops contributed about 46.8% and 10.3% in the two localities respectively. 10 The cropping intensity over 100% means that part of the land is cultivated more than once during the year i.e some summer cropped areas cultivated also in the winter season. In addition, farmers in the state do not follow any cropping rotation the thing which lowers the soil fertility and accordingly decline the productivity of the winter cops. 3.7.2 Crops grown Table 3.7. Types of crops grown and areas (percent of the total cropped area) in the Northern State for the 2003 year by locality and scheme type. Merowe Dongola Crop Private Companies Private Companies Wheat 12.33 24.58 27.37 46.67 Broad beans 26.09 4.68 26.64 26.25 Fennel 5.6 - 2.92 - Onion 3.32 0.12 - - Garlic - - 2.41 0.47 Zea maize - - 0.36 - Tomato 6.64 - - - Vegetables 1.04 - 1.68 - Lucern 2.47 10.67 3.8 1.52 Fruits 0.38 0.36 - - Dates 25.9 35.73 7.59 8.75 Source: Author's survey, 2003 Table 3.7 shows the types of crops grown and areas as percent of the total cropped area in the state. In Merowe private schemes broad beans occupied the largest area (26.09%), followed by date palms (25.9%), while wheat crop came fourth and occupied 12.33%. In Dongola 11 private schemes wheat occupied 27.37%, followed by seifi crops (27.23%), wheat and broad beans occupied 26.64%. In Merowe companies schemes 35.7% of the cultivated land is under date palms, followed by wheat crop (24.6%) and seifi crops (23.9%), while broad beans occupied only 4.7%. In Dongola companies schemes the largest area was cultivated by wheat and broad beans which occupied 46.7% and26.3% respectively. 3.7.3 Animal ownership Livestock production plays an important role in the agricultural production in the Northern State. They are considered a cash as well as a food source for the family. They are usually maintained on crop residues and fodders. The animals raised are sheep, goats, cows, donkeys and poultry. Table (3.17) shows the average animal ownership per family. Table 3. 8. The farmer's average animal ownership in the Northern State by locality Sheep Goats Cows Donkeys Camels Poultry Source: Author's survey, 2003 Merowe 10.2 3.3 1 2 0.2 3.3 Dongola 8 4.3 2 1.6 2.1 2.1 3.7.4 Agricultural operations The agricultural operations include land preparation, sowing, weeding and harvesting. 3.7.4.1 Land preparation The land and seed-bed preparations are usually done by oxen plough and hired tractor. Disc ploughing by hired tractor is usually done 12 once every two to three years and sometimes after longer intervals (Elfeil, 1993). Wilson (1996) stated that, in the Northern State of Sudan, land preparation starts as annual floods begin to recede during early September or early October. Abd-Elaziz (1999) reported that land preparation for the winter crops start early in the season to avoid the problems of unavailability and high cost of hiring tractors and traditional ploughs late in the season. The results of the survey conducted by the author for the season 2003 revealed that: in Merowe locality, all the sampled farmers (100%) carried first ploughing, only one farmer carried second ploughing and 68% carried leveling. In Dongola locality, 95% of the sampled farmers carried first ploughing, 34% carried second ploughing and 89% carried leveling. The land preparation is usually done by oxen plough and hired tractor. Tractor land preparation is assumed to be very beneficial to the crops since it is a heavy deep kind of ploughing. Mohamed (2000) stated that the tractor type of land preparation is done every two to three years, or even at longer intervals due to its high cost. The results of the survey also showed that, in Merowe locality, more than half of the sampled farmers (54%) used traditional plough and the rest (46%) used tractor plough. While in Dongola locality, most of the sampled farmers (69%) used tractor plough and about 31% of them used traditional plough. The results of the survey also revealed that, most of the respondent farmers in Merowe locality applied land cleaning, ploughing and leveling for the cultivation of wheat crop in October and applied the operation of raising guduals and tagnads in November. While in Dongola, most of the sampled farmers prepared land for wheat crop in November. 13 The land preparation for broad beans in the two localities was applied in October by most of the farmers. 3.7.4.2 Sowing date The sowing date of the crops are very important factors affecting the yield of the crops. Wilson (1996) stated that, there is a severe reduction of yields of wheat for late sowing, and the potential yield loss is as high as 60% if sowing is delayed until December. Farmers are not convinced that yield is a function of date and late sowing have negative impact on wheat productivity. Labuda, cited by Hwait Alla (1998) concluded that, the late sowing reduced the yields of seeds of broad beans at the milky- stage by about 50% compared with early sowing. The results of different experiments conducted at Hudeiba Research Station, show that the optimum sowing dates for the majority of winter crops range between the first half of October and the second week of November (Abd Elaziz, 1999). The results of the survey conducted by the author for the season 2003, revealed that, about 55% and 54% of the wheat growers in Merowe and Dongola localities respectively delayed the planting of the crop till December, while about 38% and 39% of them in the two localities respectively planted the crop in November. About 59% and 55.6% of the broad beans growers in Merowe and Dongola localities respectively planted the crop in November, while about 30.7% and 37.8% of them in the two localities respectively planted it in October. About 7.7% and 4.4% of them in the two localities respectively delayed the planting of the crop till December and about 2.6% and 2.2% of them in Merowe and Dongola localities respectively delayed the planting till January. The cultivation of fennel crop in Merowe locality started in November and December, while in Dongola locality it started in October and November. 14 The planting of onion crop in Merowe locality started in September and extended till February, while the planting of garlic cop in Dongola locality was applied in October and November. Elfeil (1993) attributed the late sowing to the unavailability of agricultural inputs such as credit, seeds, fuel and spare parts. He stated that, the late sowing, due to the late arrival of inputs and the late harvest due to the farmers busy schedules at harvest times, are common practices in the Northern State. Another reason for late sowing date is that farmers sow sorghum as damira crop in addition to other seifi crops which results in late sowing of wheat and other winter crops which follow these crops on the same land. 3.7.4.3 Weeding ِ Annual weeds (grasses) which are encouraged by watering are some of the problems facing agricultural production in the Northern State. Ahmed et al (1994) reported that Dongola area is characterized by intensive weed infestation levels. Ibrahim (1987) reported that the weeds problem is more serious in the Northern State than the River Nile State. Proper one weeding for wheat crop and proper two weedings were recommended for broad beans crop (Abd Elaziz, 1999). The results of the survey conducted by the author for the season 2003, showed that most of wheat and broad beans growers in Merowe locality applied one weeding during the season, while those in Dongola locality applied three weedings during the season. Weeding method is dominated by using sickle, hand pulling and hoe "toria". The operation does not add any cost for the farmer since it is done voluntarily by women and children who weed the fodder for their animals. Herbicides are rarely applied for weed control since farmers are not familiar with them. 15 3.7.4.4 Harvesting The cutting and collection of wheat and broad beans is performed manually by family, hired and Nafir labour, while the threshing is done by the threshers. The cutting, collection and threshing of fennel and zea maize crops is done manually. Onion and garlic crops harvesting is carried by labour and traditional plough. The optimum time of harvesting varies from one location to another. The recommended harvesting period for wheat is 120 days after sowing and for broad beans is 100 days after sowing (NSAAI, 2002). The results of the survey conducted by the author for the season 2003 shows that, most of wheat growers in Merowe locality harvested the crop in March, while most of those in Dongola locality harvested it in April. Broad beans crop was harvested in March by most of farmers in the two localities respectively. Fennel crop was harvested in February and March, onion was harvested in June, garlic was harvested in April and zea maize was harvested in February. Elamin (1996) stated that the late harvesting is usually an outcome of shortage of labour and machinery. Harvesting dates were however positively correlated with sowing date . AOAD (1990) reported that the delay of wheat harvesting is a common practice and is known to cause a loss of 28% of the total wheat output. 3.7.4.5 Labour resource management Agriculture in the Northern State is labour intensive, most of the agricultural operations such as sowing, weeding, cutting and collection of the crops are carried out manually. All farmers depend on their family labour which includes the farmer, his sons, daughters and wife. Also farmers get the help of their relatives and neighbors which is locally 16 known as "Nafir". Labour shortage is supplemented by hired labour. IFAD (1986) reported that, most of the labour used for the different operations is family labour with additional labour supplied through mutual assistance and hired labour. Tables (3.9 a and 3.9 b show the average monthly man days per feddan and the percentage of family and hired labour in Merowe and Dongola localities respectively. It is clear from the tables that there was high demand for labour in October, November and December since the operations of land preparation, planting and weeding were applied during these months with variation in the time of planting for the different crops and between the two localities. Also there was high demand for labour in March and 17 Table 3.9a. Average monthly mandays per feddan and percentage of family and hired labour in Merowe locality Mon Wheat Broad beans Fennel Onion Tomato F % H % F % H %- F % H % F % H % F % H % Sept. - - - - - - - - - - - - - - - - 14.73 100 - - Oct. 3.11 92.01 0.27 7.99 5.24 73.29 1.91 26.71 6.81 77.92 1.93 22.08 6.17 83.27 1.24 16.73 8.38 100 - - Nov. 3.39 67 1.67 33 6.47 79.98 1.62 20.02 12.6 94.17 0.78 5.83 6.01 80.67 1.44 19.33 1.14 91.64 0.56 8.36 Dec 7.2 84.11 1.36 15.89 7.96 94.54 0.46 5.46 4.66 100 - - 8.07 89.67 0.93 10.33 4.9 74.81 1.65 25.19 Jan. 5.2 100 - - 2.97 95.81 013 4.19 3 100 - - 8.18 75.74 2.62 24.26 10 55.1 8.15 44.9 Feb. 3.24 90.25 0.35 9.75 2.28 73.31 0.83 26.69 15 100 - - 4.95 88.39 0.65 11.61 9.45 50.4 9.3 49.6 Mar 6.24 60.23 4.12 39.67 4.42 57.4 3.28 42.6 19.65 99.29 0.14 0.71 3.64 90.1 0.4 9.9 6.6 42.58 8.9 57.42 Apr - - - - - - - - - - - - 2.05 69.02 0.92 30.98 6.4 51.61 6 48.39 May - - - - - - - - - - - - 4.23 50.24 4.19 49.76 3.15 46.6 3.61 53.4 June - - - - - - - - - - - - 11.39 52.88 10.15 47.12 - - - - Source: Author's survey, 2003 1 Table 3.9b. Average monthly mandays per feddan and percentage of family and hired labour in Dongola locality Wheat Month Source: Broad beans Fennel Garlic Zea maize F % H % F % H % F % H % F % H % F % H % Oct. 3.49 70.36 1.47 29.64 5.18 100 - - 6.44 6.39 4.05 38.61 6.5 63.11 3.8 36.89 9.77 95.13 0.5 4.87 Nov. 4.03 100 - - 7.31 92.53 0.59 7.47 6.88 69.78 2.98 30.22 7.4 92.85 0.57 7.15 11.23 100 - - Dec. 7.46 92.1 0.64 7.9 7.9 93.6 0.54 6.4 8.18 58.22 5.87 41.78 9.2 100 - - 9.07 100 - - Jan. 7.34 95.45 0.35 4.55 5.01 97.85 0.11 2.15 4.71 85.02 0.83 14.98 5.7 100 - - 21 100 - - Feb. 2.85 100 - - 2.04 89.47 0.24 10.53 11.39 100 - - 3.5 100 - - 13 100 - - March 1.21 100 - - 9.2 94.1 0.58 5.9 9.8 95.15 0.5 4.85 2 100 - - - - - - April 10.43 88.54 1.35 11.46 0.85 68 0.4 32 - - - - 18.8 90.39 2 9.61 - - - - Author's survey, 2 20 April months when the major winter crops i.e wheat and broad beans are harvested. The demands for labour for the different agricultural operations of the different winter crops in Merowe and Dongola localities are shown in Tables 3.10a and 3.10b respectively. Table 3.10a. Average labour requirements (man days per feddan) of the main crops in Merowe locality (winter season 2002/2003) by locality Operation Wheat Broad Fennel Onion Tomato beans Land cleaning 2.69 2 1.22 3.43 3.58 Raising field 4.98 5.59 4.95 5.06 5.18 Planting 1 3.12 2.46 10.94 11.71 Weeding 1.65 9.69 11.26 13.34 7 Irrigation 5.64 9.47 12.03 15.5 20.8 Harvesting 10.83 7.7 32.65 28.96 59.65 Total 36.2 37.57 65.57 77.23 107.92 canals and ridges Source: Author's survey, 2003 Table 3.10b. Average labour requirements (man days per feddan) of the different crops in Dongola locality (winter season 2002/2003) by locality Operation Wheat Land cleaning 3.14 Raising fields 3.17 canals and ridges Planting 3.02 Weeding 10.04 Irrigation 9.47 Harvesting 11.78 Total 40.62 Source: Author's survey, 2003 Broad beans 2.83 3 Fennel Garlic Zea maize 3.57 4.88 4.5 3.17 5.67 7.6 3.26 11.23 8.6 11.03 39.95 4.82 14.52 12.15 21.69 61.63 6.4 10.3 14.3 20.8 59.47 4.67 9.3 12 25.33 64.57 3.7.5 Irrigation Irrigation is the most important factor to agricultural production in the Northern State. The other agricultural operations like sowing, fertilizer application and harvesting depend on the availability and timing of irrigation water. Elfeil (1993) stated that, due to irrigation problems, the applied number of waterings are significantly below the recommended ones for all the crops produced in the Northern State. They irrigate 3 to 5 times with irrigation intervals that may exceeds weeks for wheat crop. He concluded that all of the crops are close to 40% short of the recommended number of waterings. Abd Elaziz (1999) in his study in the River Nile State found the actual number of waterings for the winter crops is less than the recommended number of waterings and referred the deviation from the optimum number of waterings to the limited pump size, unavailability and high cost of gasoline, high cost of spare parts and lack of credit. He also stated that, farmers extended the irrigation interval up to 21 days where as the recommended interval for winter crops range between 7 and 10 days. The results of the survey conducted by the author for the season 2003, showed an obvious improvement in irrigation operation in the Northern State, where the number of waterings applied for the wheat crop in Merowe locality exceeded the recommended number of waterings by 22% in the private farms, while the shortage of 33% was recognized in the companies schemes for the wheat crop. The number of waterings applied for broad beans in this locality was 4.3% and 33% short of the recommended number of irrigation in the private and companies schemes respectively. In Dongola locality the shortage of 15.9% of the recommended number of irrigation for wheat crop was recognized in both private and companies schemes. While the numbers of waterings applied for broad beans crop were 22% and 9% short of the recommended number of irrigation in the private and companies schemes respectively. (Tables 3.11, 3.12). Table 3.11. Recommended and actual number of waterings given to major winter crops in the private farms in the Northern State (Season 2002/2003). Crop R Merowe A %gap Dongola A %gap Wheat 9 11 +22% 7.57 15.9% Broad beans Fennel Onion 9 15 16 8.6 10.5 14.1 4.4% 11.87% 7 7.3 - 22.2% - Garlic Zea maize Tomato 15 - 21.7 - 7.5 8 - - Source: Author's survey, 2003, HRS and NSMAAI reports Table 3.12. Recommended and actual numbers of waterings given to wheat and broad beans crops in companies schemes in the Northern State (season 2002/2003) Crop R Merowe A %gap Dongola A %gap Wheat 9 6 33.3% 7.6 15.6% Broad beans 9 6 33.3% 8.2 8.9% Source: Author's survey, 2003 3.7.6 Input-output relationships 3.7.6.1 Seed rate The optimum amount of seeds per unit area is assumed to increase the output of the crops. The seed rate below the optimum decrease the output, while the seed rate beyond the optimum increases the cost of production and decreases the quantity and quality of the output. Elfeil (1993) stated that, the quality of seeds and the amount of seeds applied per unit area depends on the farmer's knowledge and expertise, which are, of course, a function of farmer's education and age as well as a function of the extension services which are lacking in the Northern Sudan. Osman (1996) found that, the seed rate explains the variation in wheat and broad beans yield in the River Nile State. According to (HRS) the recommended seed rate for wheat and broad beans crop is 50-55 kg per feddan. The results of the author's survey for the season (2003) showed that the quantity of wheat seeds applied was beyond the recommended seed rate by 21% and 33% in Merowe and Dongola localities respectively. The quantity of broad beans seeds exceeded the recommended seed rate by 5% and 50% in Merowe and Dongola localities respectively (Tables, 3.13 and 3.14). Table 3.13. Wheat input-output per feddan actual and recommended for the private farms in the Northern State (2002/2003 season) Variable R A 50-55 66.3 Fertilizer rate (kg) 80 (38.32)* 65 (49.82)* Period of cropping (days) 120 Output (sacks)** 18 Seed rate (kg) Merowe %gap A +20.5% -18.8% 73.1 -31.67% *Figures between brackets are standard deviations **One sack is approximately 100 kg. Source: Author's survey, 2003 and HRS reports +32.9% (36.42)* 71.4 -10.75% (31.13)* 113 -14.17% 123 (14.18)* (21.32)* 12.3 (5.1)* Dongola %gap 8 (3.58)* +2.5% -55.5% Table 3.14. Broad beans input- output per feddan actual and recommended for the private farms in the Northern State (2002/2003 season) Variable Seed rate (kg) Merowe Dongola R A %gap A %gap 50-55 57.6 +4.7% 82.5 +50% (29.2)* Fertilizer rate (28.43)* None 7.5 - 3.6 - 100 123.6 +23.6% 130.7 +30.7% (kg) Period of cropping (days) Output (sacks)** (17.52)* 14 6 (19.94)* 57.14% (4.31)* 7.7 -45% (3.65)* *Figures between brackets are standard deviations **One sack is approximately 95 kg. Source Author's survey, 2003, HRS and NSMAAI reports 3.7.6.2 Fertilizer Osman (1996) found that the amount of fertilizer applied per feddan explains the variation in wheat yield. Hudeiba Research Station recommended for wheat crop 80 kg urea per feddan, while no fertilizer is recommended for broad beans since it is a leguminous crop. The results of the survey conducted by the author in the season 2003 showed that, the average fertilizer rate applied for wheat crop was less than the recommended one by 18.8% and 10.8% in Merowe and Dongola localities respectively, while only few farmers applied fertilizer for broad beans (Tables 3.13, 3.14). 3.7.6.3 The actual and the expected output The actual yields levels of all crops grown were significantly below the expected ones. Tables 3.13 and 3.14 show that, the yields of wheat crop was 31.7% and 55.5% less than the targeted yields in the private farms in Merowe and Dongola localities respectively. The yields of broad beans were 57% and 45% less than the targeted yield in the private farms in the two localities respectively. The results of the survey also showed that, wheat yields in companies schemes were 7.7 and 6.7 sacks per feddan in Merowe and Dongola localities respectively, and the yields of broad beans were 4.2 and 8.8 sacks per feddan in the two localities respectively (Table 3.15). Table 3.15. The actual number of waterings and output (sacks per feddan) for wheat and broad beans crops in the Northern State according to scheme type Merowe Private Companies Dongola Private Companies Wheat Number of waterings 11 6 7.5 7.5 12.3 7.7 8.1 6.66 Number of waterings 8.6 6 7 8.2 Output (sacks/fed.) 6.6 4.2 7.6 8.8 Output (sacks/fed.) Broad beans Source: Author's survey, 2003. The actual outputs and recommended inputs for fennel, onion and garlic crops are shown in tables (3.16), (3.17) and (3.18). Table 3.16. Fennel input-output per feddan actual and recommended in the Northern State (2002/03 season) Merowe Seed rate (Ibs) Dongola R A %gap A %gap 20 14.9 25.5% 21.8 +9% (6.39)* Fertilizer rate 90 (kg) 55.8 (24.1) 34.2% 57.5 (35.96)* Period of 120 cropping (days) (45.54)* - 125.8 (21.38)* - Output 120 (kantar)** 5.2 36.11% +4.83% (23.75)* - 7.6 (3.45)* (7.61)* *Figures between brackets are standard deviations. ** One kantar = 100 Ibs. Source: Author's survey, 2003 and NSMAAI reports Table 3.17. Onion input-output per feddan actual and recommended in Merowe locality Variable Seed rate (Ibs) R A %gap 7-8 6.7 4.2% (4.05)* Fertilizer rate (kg) 80 98 +22.5% (65.71)* Period of cropping (days) - 158 - (40.52)* Output (sacks)** - 91.7 (76.43)* *Figures between brackets are standard deviations. ** One sack is approximately 95 kg. Source: Author's survey, 2003 and HRS reports - Table 3.18. Garlic input-output per feddan actual and recommended in Dongola locality (2002/2003 season) Variable Seed rate (Ibs) R A %gap 200 330 +65% (2.97)* Fertilizer rate (kg) 90 110 +22.22% (93.7)* Period of cropping (days) Output (kantar) 180 - - - 36.8 - (14.2)* *Figures between brackets are standard deviations. Source: Author's survey, 2003 and NSMAAI reports 3.7.6.4 Seed varieties In general farmers in the Northern State used traditional varieties which they obtain from the previous harvest and very rarely used improved varieties because they are risk averse in addition, to the fact that it is very difficult to obtain reliable supplies of improved varieties. The lack of use of improved varieties are assumed at least to cause low yields obtained in the state (Elfeil, 1993). El-amin (1996) stated that the wheat seeds varieties recommended by researchers for the Northern State, are, wadi Elneil, Condor and the newly released variety Elneilin. Wadi Elneil variety is more preferred to Condor due to its similarity in characteristics to the local varieties. Condor is an early maturing variety and is suited for late cultivation. Another variety grown in the Northern State is variety GZZa 155 which is tolerant to lodging, birds attack and shattering. Hussain (1987) stated that wadi Elneil out yield the variety GZZa 155 with an average yield advantage of 20-22%. The results of the survey indicated that most of farmers in the state adopted the improved seeds varieties, where only about 30% and 39.6% of wheat growers in Merowe and Dongola localities respectively cultivated Baladi varieties. In Merowe locality, about 40% of wheat growers cultivated Kandor variety, 22% cultivated Wadi ElNeil variety and only 8% cultivated GZZa variety. In Dongola locality, about 34% of wheat growers cultivated Wadi ElNeil variety, 9.4% cultivated GZZa variety, 7.5% cultivated Kandor variety, 5.7% cultivated Depera variety and 3.8% cultivated ElNelein variety. With regard to the broad beans crop, most of farmers in Merowe locality adopted improved seeds and only about 37.5% of them cultivated "baladi" varieties, while most of farmers in Dongola locality cultivated baladi varieties and about 48% of them adopted the improved seeds. 3.8 Gross Margin analysis 3.8.1 The total cost of production The results of the gross margin analysis ( Appendices 1 and 2) indicated that average total variable costs of production for the private schemes of Merowe locality were SD 62918.8, SD 57799.4, SD 45280.4, SD 109060 and SD 101935.9 for wheat , broad beans, fennel, onion and tomato crops respectively. In Dongola locality the average total variable costs of production for wheat, broad beans, fennel, garlic and zea maize were respectively SD 47310.3, SD 56374.3, SD 48213.4, SD 79935 and SD 45243.3. In Merowe locality onion and tomato crops recorded the highest costs of production since they are labour intensive crops and required additional cultural practices like transplanting and more number of waterings. The total variable costs of wheat were higher than those of broad beans, since farmers applied more number of waterings for wheat and the yield of wheat was better than that of broad beans. In Dongola locality, garlic recorded the highest cost of production since it is a labour intensive crop. Broad beans costs was higher than that of wheat cost because the yield of broad beans was better than the wheat yield and the prices were twice as that of wheat. The cost of wheat in Merowe was higher than that recorded in Dongola since farmers in Merowe locality applied more waterings and inputs and obtained higher yields. The total variable costs of production of broad beans were approximately the same in the two localities. 3.8.2 Crops returns 3.8.2.1 Yields: The average yields of crops in Merowe locality were 1.23, 0.627, 0.231, 8.7, 5.53 ton per feddan for wheat, broad beans, fennel, onion and tomato primary product respectively. In addition culled tomatoes, which are usually dried and sold at the end of the season gave an additional yield of 0.24 tons per feddan. In Dongola locality the average yields for wheat, broad beans, fennel, garlic ad zea maize were respectively 0.850, 0.731, 0.338, 1.636 and 1.5 ton per feddan. The average yield of wheat in Merowe was higher than that of Dongola, while farmers of Dongola locality obtained the yield of broad beans and fennel which were higher than those obtained in Merowe locality . 3.8.2.2 Gross returns The yields per feddan and prices were used to calculate the returns per feddan. On average the gross returns for the crops grown in Merowe locality were SD 75645, SD 77315.7, SD 55380, SD 178815 and SD 332200 per feddan for wheat, broad beans, fennel, onion and tomato crops respectively, while for those grown in Dongola locality, they were SD 51850, SD 91040, SD 93860, SD 126960 and SD 60000 for wheat , broad beans, fennel , garlic and zea maize respectively. In Merowe locality the tomato crop scored higher gross returns per feddan due to the relatively higher yield and prices, followed by onion and then broad beans. The gross returns of wheat were slightly lower than the gross returns of broad beans due to low prices of wheat crop. Fennel crop came at the tail due to its low yield. In Dongola locality, garlic crop scored the higher gross returns due to its relatively high yield, followed by fennel and then broad beans, while wheat and zea maize scored the lowest gross returns due to low yields and prices for wheat and low prices for zea maize. The gross returns of wheat in Merowe was higher than that of Dongola, while those of broad beans and fennel were higher in Dongola locality due also to the variation in the yields obtained. 3.8.2.3 Gross margins On average gross margins per feddan for wheat, broad beans, fennel, onion and tomato crops in Merowe locality were SD 12726.2, SD19516.3, SD 10099.6, SD 69755 and SD 230264.1 respectively, while in Dongola locality the gross margins were SD 4539.7, SD 34666.7, SD 45646.6, SD 47025 and SD 14756.7 for wheat, broad beans, fennel, garlic and zea maize respectively. In Merowe locality tomato crop recorded the highest gross margin followed by onion. These two crops are the high value crops grown in Merowe locality. The tomato crop scored the highest gross margin due to the high yield obtained and relatively good prices, while onion crop came second although its price was relatively low due to the high yield obtained. The gross margin of broad beans was higher than that of wheat crop due to the high prices of broad beans which was twice as that of wheat in season 2002/2003. Fennel crop came at the tail due to its low yield obtained. In Dongola locality the most profitable crops were garlic and fennel, followed by broad beans, while zea maize crop came at the tail. CHAPTER IV ALLOCATION EFFICIENCY ANALYSIS This chapter provides, the theoretical framework of the production function, discusses the results of the production function used in the study and analyses allocation efficiency. 4.1 Theoretical framework 4.1.1 Introduction One of the objectives of this study is to compare the economic efficiency of the resources used in the different farming areas in the Northern State. To meet this objective, the Cobb-Douglas production function was specified as a suitable functional form for estimating the parameters to be used in allocative efficiency. 4.1.2 Production function 4.1.2.1 General overview Production functions are normally estimated to investigate the impact of some selected variables on yield. A production function is defined as the relationship between quantities of various inputs used per unit time and the maximum quantity of the output produced at that particular time (Mansifield, 1985). Schiller (1991) reported that the production function represents maximum technical efficiency that is, the most output attainable from any given level of factor input. Historically, the refinements in the concepts relating to the production functions grew out of economics, probably because of the following reasons: (1) The nature of the production function is important in economic development and in determining the extent to which national products can be increased from a given resource stock. (2) The magnitudes of the production function coefficients serve as the base for determining optimum patterns of international or interregional trade. (3) The conditions under which a total output can be imputed to the factors from which it is produced with the product just exhausted depends on the nature of the production function. (4) The production function provides half or one of two general categories of the data needed in determining or specifying the use of resource and the pattern of outputs which maximize firm profits. (5) The algebraic nature of the supply function rests in large part, upon the nature of the production function (Heady and Dillon, 1961). Upton (1987) stated that the transformation of inputs into outputs is made up of a number of determinants, which are technical, behavioural, organizational and to some extent legal in nature. In 1979 he reported that the production function in theory should include inputs of all resources, such as, variable soil nutrients, climate, pests and diseases that might influence yields. Because of the impossibility of specifying all of these variables separately, some may be lumped together into a broad category such as land or labour, and the other variables which are considered to be unimportant can be ignored. 4.1.2.2 Forms of the production function Numerous algebraic equations form can be used in deriving production functions. No single form can be used to characterize agricultural production under all environmental conditions. The algebraic form of the function and the magnitudes of its coefficients will vary with soil, climate, type and variety of crop or livestock, resources being varied, state of mechanization and the magnitude of other inputs. Hence, a problem in each study is the selection of an algebraic form of function which appear or is known to be consistent with the phenomena under investigation. Guides on appropriate algebraic forms may come from previous investigations and the theories of the sciences involved. Selection of any specific type of equation to express production phenomena automatically imposes certain restraints or assumptions in respect to the relationship involved and the optimum resource quantities which will be specified. However, some equations are more flexible than others (Heady and Dillon, 1961). a- Linear production functions The linear production function can be written as follows: Y= a + b1x1 +b2x2 +...+bnxn Linear production functions assume a linear relationship between inputs used and output produced (i.e straight line relationship). Hence, marginal product is constant and there are no diminishing marginal returns. All inputs substitute each other, with a constant rate of technical substitution. Therefore, a linear function is not satisfactory on theoretical grounds. The justification for use of this form is based on the ease of its estimation by the ordinary least squared method. b- Quadratic production function The quadratic production function in case of two variable inputs is Y = a + b1x1+ b2x2 - b3x21 -b4x22 -b5x1x2 Where, a: is a constant bi: is a coefficient Y: is the level of out put x1, x2: are the levels of each of the two variable inputs The advantages of this function is that it is easy to estimate. Therefore, there is a technical optimum beyond which the total product falls. The possible disadvantage of this function is that it can not show both increasing marginal product at low levels of inputs and decreasing marginal products at high levels of inputs in the same equation. c- Cubic or Neo-classical production function The equation of this function with one exogenous variable is: Y = a +bx +cx2 -dx3 Where, Y = The output a, b, c, d = Coefficients x = input This type of production function shows the stages of production. The first stage is "stage I" where output increases at increasing rate as input is increased, the second stage "stage II" where output increases at decreasing rate as more input is used and the third "stage III" in which output decreases as more input is used. The function shows the law of diminishing marginal returns. d- Cobb-Douglas production function The simple form of this function can be written as follows: ui Y = ax1b1x b2 2 ....x bn n e Where, Y: is the dependent variable (output). a: is the constant xi: is the independent (explanatory variable). i = 1, 2, ...n bi: is the regression coefficient to be estimated, which is the partial elasticity of production with respect to the individual resource. The sum of these elasticities determine the nature of return to scale which could indicate the percent by which the output will change if all factors are changed by a given percent. If the sum of the elasticitties is equal to one, this means that a one percent increase in all inputs will result in a one percent increase in the output, i.e constant returns to scale. While if the sum of elasticities is greater or less than unity, output will be increased by a greater or smaller percent than input i.e increasing or decreasing returns to scale. The Cobb-Douglas function is known as logarithmic function or even more precisely a double logarithmic function, to distinguish it from other functions where only one side of the equation is transformed into logarithms. The logarithmic form of this function is represented by the following equation: Log y = log a + b1 logx1 + b2 logx2 + ...bn logxn + e. 4.1.3 Efficiency indices and optimization Allocation efficiency is defined as maximizing profit by using least-cost combination of inputs. On the other hand, technical efficiency refers to increasing output without varying the level of inputs, whereas economic efficiency combines both allocative and technical efficiencies (Eisa and Elfiel, 2001). Efficiency has usually been judged by comparing estimated marginal value products (MVPs) with the relevant marginal factor cost (MFC) for factors of production employed. Mathematically, the expression below gives the efficiency index (IExi) of a particular resource. IExi = MVPxi MFCxi for resource x i The marginal value product (MVP) of a factor of production can be directly computed from its input elasticity of production when output is measured in value terms (Heady and Dillon, 1961). Mathematically, the MVP of a resource is calculated from the equation: MVPxi = ei Ŷ xi Where, MVPxi = the marginal value product of resource xi ei = input elasticity of production for xi Ŷ = the geometric mean of gross value of farm production xi = the geometric mean of resource xi Marginal cost is the increase in total cost associated with a one-unit increase in production (Schiller, 1991). Elfeil et al (2001) reported that the marginal costs are estimated as the costs of purchasing an additional unit of input at market price. Efficiency resource use is reached when the expected value of IExi is positive and approaches unity. In other words, a resource can be expanded until its MVP is exactly equal to its MFC. A comparison will give an insight into the differences in efficiency of resource use between the different agricultural areas and agricultural schemes in the Northern State. 4.2 The results of the production function A Cobb-Douglas production function of log-log form was fitted to the data which were collected during 2002/03 season in the Northern State, to relate the value of whole farm output to the different inputs, in order to test for the resource allocative efficiency. The definition and composition of each of the variables included in the equation are briefly given below: a- The intercept: This may represent some variables that are easy to incorporate in the equation such as the management factor, the weather conditions, land and labour qualities, etc. In applied research, no major significance is normally attached to this term because there are relatively few instances where the intercept has an obvious economic interpretation (Elfeil et al, 2001). b- Land: The land variable was the total land resource actually cultivated by the farmer. It was measured in feddans. Elfeil et al, (2001) reported that irrigated land in the Northern State is one of the most scarce resources. c- Labour: The labour variable represented the total labour employed by each farm during the winter season 2003. It was measured in mandays. d- Capital expenses: The capital expenses variable was the cash expenditure reported by the farmer for purchased inputs such as seeds, fertilizers, chemicals, sacks, cost of land preparation, threshing and irrigation. The dependent variable was the value of the whole farm output for the season 2003 expressed in Sudanese dinars. The results of the production function for the whole sample in Merowe and Dongola localities and within each locality for private and companies schemes are shown in Tables 4.1, 4.2 and 4.3. Table 4.1. The regression equation for the whole sample in Merowe and Dongola localities Dependent variable : Whole farm output (SD) Merowe Dongola Variable Coefficient T- value Coefficient T- value Constant 1.565 1.913 0.948 1.451 (0.818)1 Farm size (fed.) -0.081 (0.653) -1.116 (0.073) Total labour 0.696*** (mandays) Operating (SD) R- squared F- ratio 1 0217* -1.998 (0.068) 5.306 (0.174) capital -0.157** 0.380*** 2.646 (0.178) 1.706 0.522*** (0.219) (0.193) 0.744 0.652 54.236*** 47.461*** Values in brackets are standard errors ***Statistically significant at 0.01 level **Statistically significant at 0.05 level *Statistically significant at 0.10 level Source: Computed, using data from the survey of 2003 3.622 Table 4.2. The regression equation for private and companies schemes in Merowe locality Dependent variable : Whole farm output (SD) Private Companies Varible Coefficient T- value Coefficient T- value Constant 1.701** 1.825 -4.052** -4.104 (0.932)1 Farm size (fed.) -0.099 -1.131 (0.080) Total labour 0.616*** (mandays) (0.987) -0.178* (0.079) 3.511 (0.237) 0.264*** 0.251 capital (SD) (0.266) R- squared 0.677 0.950 32.182*** 37.983*** 1 2.309 (0.189) Operating F- ratio -1.860 1.460 0.831*** 0.238 Values in brackets are standard errors ***Statistically significant at 0.01 level **Statistically significant at 0.05 level *Statistically significant at 0.10 level Source: Computed, using data from the survey of 2003 7.160 Table 4.3. The regression equation for private and companies schemes in Dongola locality Dependent variable : Whole farm output (SD) Private Companies Vaeiable Coefficient T- value Coefficient T- value Constant 1.307* 1.692 -0.508 -0.392 (0.773)1 Farm size -0.132 (fed.) (0.080) Total labour 0.429*** (mandays) (0.216) Operating 0.448*** (1.296) -1.348 -0.243* (0.142) 2.478 0.126 2.601 0.390*** (0.228) (0.390) R- squared 0.617 0.779 30.063*** 18.815*** 1 0.449 (0.356) capital (SD) F- ratio -1.899 Values in brackets are standard errors ***Statistically significant at 0.01 level **Statistically significant at 0.05 level *Statistically significant at 0.10 level Source: Computed, using data from the survey of 2003 2.931 4.3 Allocation efficiency analysis 4.3.1 The land resource Efficiency resource is reached when the expected value of the resource efficiency index (IExi) is positive and approaches unity. The land variable regression coefficient had a priori negative sign for each of the regression equations applied for the whole sample of Merowe and Dongola localities and within each locality for private and companies schemes. This indicated that additional units of land resource would reduce the value of output. However, the reduction of output is significant at 5% level of significance for Dongola whole sample and it was significant at 10% level of significance for companies schemes of the two localities (Tables 4.1, 4.2 and 4.3). Accordingly the marginal value productivity of land and land efficiency index carry negative signs (Tables 4.4 and 4.5). Table 4.4. Marginal value productivities and efficiency indices of land for the whole sample of Merowe and Dongola localities Item Merowe Dongola 217512.15 126420.29 5.09 7.47 Average productivity of land (SD) 42733.23 16923.73 Marginal value productivity of land -3461.39 -2657.03 9338.77 9063.76 -0.37 -0.29 Mean value of output (SD) Mean land input (fed.) (SD) Marginal cost of land (SD) Land efficiency (MVPland/MFCland) Source: Calculated index Table 4.5. Marginal value productivities and efficiency indices of land in the Northern State by locality and scheme type Merowe Item Private Mean value of output 250379.33 Dongola Companies Private Companies 53176.25 130735.73 113474 (SD) Mean land input (fed.) 5.61 2.47 7.79 6.52 Average productivity 44630.9 21528.85 16548.83 17403.99 -4418.46 -3832.14 -2184.45 -4229.17 9338.77 9338.77 9063.76 9063.76 -0.47 -0.41 -0.24 -0.47 of land (SD) Marginal value productivity of land (SD) Marginal cost of land (SD) Land efficiency index (MVPland/MFCland) Source: Calculated The negative land variable regression coefficient may be due to variation in soil fertility and the limited quantities of inputs and management efforts that large holdings received. As discussed in chapter two, the lands of the Northern State can be classified according to soil type into islands and gerif lands, river banks lands and high terrace lands. There is large variation in soil fertility between these classes. The islands and gerif lands are more productive than the river banks lands and the latter are more productive than high terrace lands. Elfiel et al, (2001) reported that, although land quality is variable, it is difficult to capture the quality directly as the necessary data are not available. Siddig, (1999) stated that an inverse relationship between farm size and the total variable cost of production of wheat was detected. A similar relation was also observed between farm size and productivity of wheat where the small farmers were found to use more inputs (seeds and fertilizers) per unit area relative to large farmers. Abd Alla, (1998) found an inverse relationship between farm size and date yield. He attributed this inverse relationship to the following: i- As the area cultivated by date palms increased it extends away from the river banks and hence the soil fertility decreases. ii- As the area of date palms is increased, the number of trees per unit area decreases because the off-shoots of date palms are very expensive and most of farmers are unable to purchase a large number of seedlings for the extended areas. iii- Small areas receive more management efforts than the extended areas. 4.3.2 Labour resource The information used for comparing the MVP and MFC of labour is presented in Tables 4.6 and 4.7. Table 4.6. Marginal value productivities and efficiency indices of labour for the whole sample of Merowe and Dongola localities Item Merowe Dongola 217512.15 126420.29 Mean labour input (mandays) 105.26 75.75 Average productivity of labour (SD) 2066.43 1668.92 Marginal value productivity of labour (SD) 1438.24 634.19 Marginal cost of labour (SD) 700 700 Labour efficiency index (MVPlab/MFClab) 2.05 0.9 Mean value of output (SD) Source: Calculated Table 4.7. Marginal value productivities and efficiency indices of labour for Merowe and Dongola localities by scheme type Merowe Item Mean Private value Dongola Companies Private Companies 53176.25 130735 113474 119.36 34.72 79.46 64.61 2097.68 1531.57 1645.29 1756.29 1292.17 404.33 705.83 221.29 700 700 700 700 1.85 0.57 1.01 0.32 of 250379.33 ouput (SD) Mean labour input (mandays) Average productivity of labour (SD) Marginal value productivity of labour (SD) Marginal cost of labour (SD) Labour efficiency index (MVPlab/MFClab Source: Calculated From table (4.6), it is obvious that the marginal value productivity of labour for the whole sample of Merowe locality exceeded the marginal factor cost of labour, while the opposite occurred in the whole sample of Dongola locality. The labour efficiency ratio for Merowe locality was found to be 2.05, while it was 0.9 in Dongola locality. This implies that labour has been in short supply for Merowe locality and its use should be extended if efficiency is to be achieved. The divergence of this ratio from unity in Dongola locality reveals that Dongola farmers could be described as efficient in allocating the labour resource. Within the two localities the labour efficiency ratio was 1.85 and 0.57 in private and companies schemes of Merowe locality respectively, while it was 1.01 in Dongola private schemes and 0.32 in Dongola companies schemes (Table, 4.7). These results indicate that labour was underutilized in Merowe private schemes, efficiently utilized in Dongola private schemes, while the resource was utilized beyond the optimum levels in companies schemes of the two localities. The labour resource seems to be under utilized in Merowe private schemes since farmers grew some labour intensive crops, namely onion and tomato. These crops are profitable crops, but farmers cultivated small areas when compared to areas cultivated by wheat and broad beans and hence the expansion in growing of these crops increase farmers incomes. 4.3.3 Capital resource The information used for comparing the MVP and MFC of capital are presented in Tables 4.8 and 4.9. Table 4.8. Marginal value productivities and efficiency indices of capital for the whole sample in Merowe and Dongola localities Item Merowe Dongola Mean value of ouput (SD) 217512.15 126420.29 Mean capital input (SD) 92450.53 63124.91 Average productivity of capital (SD) 2.353 2.003 Marginal value productivity of capital (SD) 0.511 1.0456 Marginal cost of capital (SD) 1.15 1.15 Capital efficiency index (MVPcap/MFCcap) 0.44 0.91 Source: Calculated Table 4.9. Marginal value productivities and efficiency indices of capital in the Northern State by locality and scheme type Merowe Item Dongola Private Companies Private Companies Mean value of output (SD) 250379.33 53176.2 130735.73 113474 Mean capital input (SD) 99460.33 57401.25 64662.72 58511.5 2.52 0.93 2.02 1.94 0.6325 0.7728 0.905 0.958 1.15 1.15 1.15 1.15 0.55 0.67 0.79 0.83 Average productivity of capital (SD) Marginal value productivity of capital (SD) Marginal cost of capital (SD) Capital efficiency index (MVPcap/MFCcap) Source: Calculated Table, (4.8) shows that the capital efficiency ratio was 0.44 and 0.97 for the whole sample of Merowe and Dongola localities respectively which indicates that capital was utilized beyond the optimum level in Merowe locality and it could be described as efficiently utilized in Dongola locality. Within the two localities the capital efficiency ratio was 0.55 and 0.67 in private and companies schemes of Merowe locality respectively, while in private and companies schemes of Dongola locality it was respectively 0.79 and 0.83 (Table, 4.9). These results reveal that the capital resource was used beyond the optimum level in private and companies schemes of the two localities. However, the divergence from unity indicates that the capital resource was optimally used by companies schemes when compared to private schemes. The over utilization of the capital resource is consistent with the results discussed in chapter three which showed that an improvement in agricultural inputs supply and application is observed. The applied quantities of seeds and fertilizers for wheat and broad beans crops exceeded the recommended rates. Also the number of irrigations applied exceeded the recommended one for wheat in private schemes of Merowe locality and it was slightly lower than the recommended quantities in Dongola locality. For broad beans Merowe private schemes farmers applied the required number of irrigations and it was lower by 22% in Dongola locality. Although farmers spend more on purchasing agricultural inputs, they obtained low yields specially for the broad beans. This was mainly due to expansion of cultivation into marginal lands. Farmers in companies schemes seem to be more efficient when compare to private schemes farmers. Although they spend less on purchasing agricultural inputs, they obtained better yields. When the uses of different resources were compared the labour and capital efficiency ratio were 2.05 and 0.44 in Merowe whole sample which means that labour was under utilized, while capital was over utilized. In Dongola whole sample labour and capital efficiency ratios have the same value which was 0.9. This indicates that labour and capital resources were efficiently utilized in Dongola locality. In Merowe private schemes, labour efficiency ratio was 1.85, while the capital efficiency ratio was 0.55. This indicates that labour was under utilized while capital was over utilized. In Merowe companies schemes the labour and capital efficiency ratios were 0.57 and 0.67 respectively which means that both resources were used beyond the optimum level. In Dongola private schemes the labour efficiency ratio was 1.01, while the capital efficiency ratio was 0.79. This indicates that labour was utilized efficiently while capital was over utilized. In Dongola companies schemes the labour efficiency ratio was 0.32, while the capital efficiency ratio was 0.83 which means that capital was utilized optimally when compared to labour resource. Thus, it could be concluded that the capital resource was used beyond the optimum level in private and companies schemes of the two localities due to low yields obtained, while the labour resource was under utilized in Merowe private schemes, efficiently utilized in Dongola private schemes and used beyond the optimum levels in companies schemes of the two localities. Labour resource seems to be under utilized in Merowe private schemes since farmers grew tomato and onion crops which are labour intensive and profitable crops and there fore efficiency is to be achieved if the areas of these crops are expanded. CHAPTER V A LINEAR PROGRAMMING MODEL OF A REPRESENTIVE FARM IN THE NORTHERN STATE This chapter discusses the linear programming model development and its specifications. 5.1 Theoretical framework 5.1.1 Economic choice concepts Factors of production are the inputs: land, labour and capital. The quantities of available resources are limited. We can not produce every thing we want in the quantities we desire. Resources are scarce relative to our desire, because our resources are services. Opportunity costs exist in all situations where available resources are not abundant enough to satisfy all our desire. In all such situation, we must make hard decisions about how to allocate our scarce resources among competing uses. Our ability to alter the mix of output depends in part on the capability of factors of production to move from one industry to another. Two issues arises, first, can the resources be moved, second, how efficient will the resources be in a new line of production (Schiller, 1991). The opportunity cost is defined as, the most desirable goods or services that are forgone in order to obtain something else. The opportunity cost of a product is measured by the most desirable goods and services that could have been produced with the same resources. Dent, Harrison and Woodford (1986) defined the shadow price of the activity as a measure of its true profitability after taking account of both cash returns and opportunity cost. The terms shadow price, opportunity cost and marginal value product are often used synonymously when referring to resources. Beneke and Winterboer (1973) reported that shadow prices for production activities indicate how the value if the program would change (how much income would be penalized) if an additional unit of the activity were forced into the final plan. They will be refered to frequently as income penalties. Shadow prices for the disposable activities provide information concerning the productivity of added resources (relation of restraints). 5.1.2 Linear programming model 5.1.2.1 General overview Programming is one of the techniques, that are used in allocation problems. Mathematically, linear programming is defined as the analysis of problems in which a linear function of a number of variables is to be maximized (or minimized) when those variables are subjected to a number of restraints in the form of linear equalities (Dorfman, Samuelson and Solow (1954). Linear programming generally refers to the computational method used in prescribing production patterns which maximize profit of firms, minimizing cost of producing a specific commodity or related types of aggregative analysis. The term linear refers to the fact that straight line relationships are employed in linear programming. A more precise mathematical definition of linear programming is that, linear programming techniques involve the maximization of a linear function, subject to linear inequalities (Heady and Candler, 1973). Dent, Harrison and Woodford (1986) reported that, the simplex method is based on the economic principle of opportunity cost. It is defined as a mathematical procedure that checks the corner points of the production possibility boundary so as to locate the most profitable plan. Beneke and Winterboer (1973) defined it as a mathematical procedure (algorithm) that use addition, subtraction, multiplication and division in a particular sequential way to solve problems. In 1949 George B.Dentzig published the simplex method for solving linear programs. Since that time a number of individuals have contributed to the field of linear programming in many different ways includes theoretical development, computational aspects, and exploration of new application of the subject. The simplex method of linear programming enjoys wide acceptance because of (1) its ability to model important and complex management decision problems and (2) its capability for producing solutions in a reasonable amount of time (Bazaraa and Jarvis, 1977). Hazel and Norton (1986) reported that, early application of linear programming in farm planning assumed profit maximizing behavior. Heady and Candler (1973) reported that, a linear programming problem has three quantitative components, an objective, alternative methods or processes for attaining the objective and resources or other restrictions. A problem which has these three components can always be expressed as a linear programming problem. For the typical farm management or working efficiency problem the objective will be maximum income or minimum cost. There is, however no reason why the objective should be so restricted. If the manager wishes to make certain other specifications as to his objective these can easily be included. Given the objective, it is obvious that, unless it can be attained in more than one way, there is no problem to be analyzed. A linear programming problem does not exist unless resources are restricted or limited. Several individuals have contributed to the development of linear programming, among them Van Neumann, Leontief, Laplace, Weyl, Stigeler, Cornfield, Koopmans and Dantzig (Abd Elaziz, 1999). Many researchers in the world applied linear programming in the last years, from those Majumder (1998), Darwish et al (1999), Neto et al (1997), Salinas et al (1999), Pennel (1999), Frizzone et al (1997), Kassie et al (1998), Goswami (1997) and Zahoor (1997). The individuals who contributed to the application of linear programming in African agriculture are, Heyer (1996), Delgado (1997), Schultz (1964) and Metson (1978). Abd Elaziz (1999) applied linear programming for the analysis of small private farms in the River Nile State. Linear programming was also applied in the modern and traditional agriculture of the Sudan. In the traditional farming of Northern Sudan, linear programming was used by Ahmed (1988) for evaluating new faba bean techniques in Northern Sudan, and Ahmed and Faki (1992 and 1994) for investigating the prospects of technology adoption in small pump schemes in Wad Hamid and Rubatab areas in the River Nile State. 5.1.2.2 Assumptions of linear programming Several assumptions are used in linear programming. If these assumptions do not apply to the problem under consideration, linear programming may not provide a sufficient precise solution. These assumptions are explained below: - Additivity and linearity: The activities must be additive in the sense that when two or more are used, their total product must be the sum of their individual products. An equivalent statement is , the total amount of resources used by several enterprises must be equal to the sum of the resources used by each individual enterprise. Thus no interaction is possible in the amount of resources required per unit of output regardless of whether activities are produced alone or in various proportions. - Divisibility: It is assumed that factors can be used to produce commodities that can be produced in quantities which are fractional units. That is, resources and products are considered to be continuous to be infinitely divisible. - Finiteness: It is assumed that there is a limit to the number of alternative activities and to the resource restrictions which need to be considered. - Single-value expectations: In general, the linear programming method used widely to date employs the standard linear programming assumption that resources supplies, input-output coefficients, and prices are known with certainty. (Heady and Candler, 1973). Other assumptions summarized by Hazel and Norton ( 1986) are: - Optimization: It is assumed that an appropriate objective function is either maximized or minimized. - Fixedness: At least one constraint has a non-zero right hand side coefficient. - Homogeneity: It is assumed that all units of the same resource or activity are identical. - Proportionality: The gross margin and resource requirements per unit of activity are assumed to be constant regardless of the level of the activity used. 5.1.2.3 The objective function The objectives of traditional farming have been a source of legacy in agricultural economics literature. Three schools of thought emerged from the discussion: The first one is represented by the neoclassical theory which advocates a profit maximization aim, the second school which is the extreme of the first one, argues that the fulfillment of the family grain requirement is the sole objective of peasant farmers, while the third school represents a middle ground between the other two theories. That is , peasant farmers have a combination of objectives which may be listed in the following: i- Securing an adequate and assumed food supply. ii- Ensuring a cash income to meet other material needs. iii- Avoidance of risk, or simply, survival in an uncertain environment. iv- Other leisure and socially related objectives (Malik, 1994). Hazel and Norton (1986) reported that for small-scale farmers in developing countries, a more primary objective is often to provide their families with adequate food. Such farmers face rural markets that are often incomplete, exploitative or unreliable and trading cash crops for food is a rarely sound strategy for ensuring survival. Under these circumstances, it is not surprising that farmers first allocate resources to assure necessary food supplies, and only then are remaining resources used to generate cash income. Another important consideration for smallscale farmers is often a desire to enjoy more leisure. As incomes rise above subsistence level and the required drudgery to eke out a living is reduced. 5.2 Specification of the model structure The objective function of the representative farm model maximizes net farm income after satisfying family requirements of the main food crop which is wheat. The mathematical form of the model used is as follows: Max z = ∑ t=1 n CjXj Subject to ∑ aijxj n t =1 <= bi And Xj >= 0, all j = 1 to n Where: Z = objective function value Cj= gross margin per feddan of the jth farm activity i.e input/output coefficients. Xj = the level of the jth farm activity aij = the quantity of the ith resource required to produce one unit of the jth activity i.e input/output coefficients bi = vector of resource availability . The above structure was then formulated into a matrix that gives the model's technical input-output coefficients and resource endowments as shown in Table (5.1). The first row of the matrix represents the procedure's objective function. The objective function is maximization of gross farm income after satisfying consumption requirements from wheat. The positive signs in the objective function are the prices per unit of output (Q1...Q5). The negative signs in the objective function include the cost of production of crops (CRP1...CRP5), cost of labour hiring (HL1...HL10), morabaha margin of capital borrowed (BC1...BC10) and prices per unit of wheat brought from the market. The zero value in the objective function is given to wheat produced for consumption since it does not involve cash transactions. On the other hand, capital transfers are assigned a zero value since they do not involve any actual expenditure of funds but are rather a capital transfer from one period to another. In the constraint row, demand and supply of resource are represented by negative and positive coefficients. The positive coefficients in the left hand side indicate the resource requirement per unit of activity. The level of activity times the coefficient gives the total nst. ld 1 ld 2 ld 3 ld 4 ld 5 ld 1 10 1 10 T Rep. d CPT t1 t9 ht cons. 1 prod. 2 prod. 3 prod. 4 prod. 5 prod. Unit Fed. " " " " " m.d. " " SD " " " " Nu. " " sack " " " " " -SD -SD -SD 1 1 1 1 1 -SD SD SD SD SD SD 0 SD -SD Hired labour Capital transfer Borrowed credit CT1..CT9 BC1..BC10 .. _SD 0 .. 0 -SD .. -SD End capt. -SD HL1.. HL10 Capt. Rep. jec. Fun. Wht buy. Q1 .. Q5 Wht cons. Crop selling CRP1 .. CRP5 Activities Crop prod. Table 5.1 An LP tableu of representative farm in the Northern State 0 0 1 1 1 c … c c … c … c c … C … C C … C … C C … 1 c … c c … c c C C c -1 -1 SD SD -SD -SD 1 -1 +1 -SD -SD SD -1 1 SD SD -1 1 c .. c c … c C … C C … C c … c 1 1 -c -1 -c -c -c -c C = Coefficient neither equal zero, nor equal one or minus one, SD = Monetary coefficients in Sudanese Dinars Bi = Level of resource in the model Source: Constructed from survey data. Dir. <= >= >= >= >= >= <= " " <= " RHS Bi 0 0 0 0 0 Bi Bi Bi Bi Bi " <= >= <= " " = <= " " " " Bi Bi Bi Bi Bi Bi Bi o 0 0 0 0 derived demand by that activity. The sum of total derived demands for all crops should not exceed the right hand side of constraints inequalities. The first constraint row (land) represents land availability and states that the total land allocating to cropping activities is bounded by farm size (total land). A set of constraints indicate the availability of labour by month (lab1, lab2, ...etc). These constraints insure that labour demand by crop production is bounded by supply each period. Labour is supplied by family labour and by labour hiring. A set of water constraints (wat1, wat2 ...etc) demanded by crop production in each month should not exceed the water supply by the pumping activities. A set of operating capital constraints (OC1, OC2, ...etc) insures that cash demanded by crop production in each month should not exceed the available capital. Cash is available from the farmer's own funds and the amount borrowed from the banks. The credit limit constraint states that the money borrowed should not exceed the amount provided by the banks. A crop balance insures that what is produced is what is sold plus domestic consumption. A consumption constraint insures that the household consumption of wheat is being met by either farm production and/or market purchase. 5.3 Empirical specification of the model 5.3.1 Introduction As discussed in chapter three the data was collected by a post harvest field survey in the winter season 2003. Two localities were selected from the four localities in the Northern State according to the existing administrative structure. These two localities are Merowe and Dongola. They reflect different resource endowments, different resource use and different production relations. Representative farm models were built for each farming system in the two localities. The linear programming model was applied to farmers of private schemes since they were represented by the majority of the sampled farmers. 5.3.2 The activity set The activity set in the model includes the following: i- Crop production activities. ii- Hiring labour activities. iii- Crop selling activities. iv- Wheat consumption and buying activities. v- Borrowing activities. vi- Transfer activities. 1- Crop production activities Table 5.2 and 5.3 show a portion of the LP matrix representing the crop production activities in Merowe and Dongola localities. The crop production activities in Merowe locality are wheat, broad beans, fennel, onion and tomato. While in Dongola locality the crop production activities were, wheat, broad beans, fennel and garlic. The objective function coefficients for the production activities represent the total cost of production per feddan excluding the cost of hired labour and capital. The costs carry negative signs since they draw from the value of the objective function. Average from the selected sample were used to estimate the labour coefficients. The labour input-output coefficients were calculated on per feddan basis which is the unit of the producing activities. The producing activities are linked with production balance equations and their respective yield per feddan is shown as a negative figure in these equations, meaning supplying with that level per feddan. Table 5.2. Crop production activities in Merowe locality Activities Wht Objective function Constraints Total land Wht land Bean land Fen. Land Onion land Tomato land TL Sept. TL Oct. TL Nov. TL Dec. TL Jan. TL Feb. TL March TL April TL May TL June OC Sept. OC Oct. OC Nov. OC Dec. OC Jan. OC Feb. OC March OC April OC May OC June CPTL Rep. End CPTL Wht cons. Wht prod. Bean prod. Fen. Prod. Bean Fen. Toma. Onion 54948.9 48552.6 38580.4 88152.8 89943.5 Unit Fed. 1 " 1 " 0 " 0 " 0 " 0 m.d 0 " 3.38 " 5.06 " 8.56 " 5.2 " 3.59 " 10.36 " 0 " 0 " 0 SD 0 " 7153 " 0 " 15629 " 4064 " 4064 " 10376.4 " 0 " 0 " 0 " 0 " 0 Sack 0 " -12.3 " 0 kantar 0 1 0 1 0 0 0 0 7.15 8.09 8.42 3.1 3.11 7.7 0 0 0 0 7306 11622 4902 2869.5 2869.5 7225.4 0 0 0 0 0 0 0 -6.6 0 Onion prod. Sack 0 0 Toma. Prod. tin 0 0 Source: Constructed from survey data. 1 0 0 1 0 0 0 8.74 13.38 4.66 3 15 19.79 0 0 0 0 3781 1143.7 4449.6 3337.2 2224.8 2978 0 0 0 0 0 0 0 0 -5.2 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 14.73 7.41 8.38 7.45 6.7 9 6.55 10.8 18.15 5.6 18.75 4.04 15.5 2.97 17.6 8.42 0 21.54 0 0 12810 0 5174.5 4402 2332 17452.6 2332 7013.4 2332 4528.8 14057 4528.8 25005 3019.2 12502.3 1509.6 0 20157.5 0 0 0 0 0 0 0 0 0 0 0 0 0 -91.7 0 0 -615 Dir. RHS <= >= " " " " <= " " " " " " " " " <= " " " " " " " " " " >= = <= " " 8.15 0 0 0 0 0 20 36 36 36 36 36 36 36 36 36 362425 0 48973 0 0 0 0 0 0 0 48973 4111398 8.5 0 0 0 " " 0 0 Table 5.3. Crop production activities in Dongola locality Activities Wht Bean Fen. Gar. Objective function -42055.4 -479826 -38555.1 -73396.5 Constraints Unit Dir. RHS Total land Fed. 1 1 1 1 <= 11.32 Wht land " 1 0 0 0 >= 0 Bean land " 0 1 0 0 " 0 Fen. Land " 0 0 1 0 " 0 Garlic land " 0 0 0 1 " 0 TL Oct. " 4.96 5.18 10.49 10.3 <= 20 TL Nov. " 4.03 7.9 9.86 7.97 " 33 TL Dec. " 8.1 8.44 14.05 9.2 " 33 TL Jan. " 7.69 5.12 5.54 5.7 " 33 TL Feb. " 2.85 2.28 11.39 3.5 " 33 TL March " 1.21 9.78 10.3 2 " 33 TL April " 11.78 1.25 0 20.8 " 33 OC Oct. " 0 5767.4 15555 35312.9 " 152693 OC Nov. " 5963.6 13700.6 2579.6 1731 " 99844 OC Dec. " 14835 2742.8 2579.6 3462 " 0 OC Jan. " 2489.5 2601 1289.8 3462 " 0 OC Feb. " 2489.5 2601 1289.8 1731 " 0 OC March " 1244.8 4189 2746.4 1731 " 0 OC April " 5380.8 0 0 7455 " 0 CPTL Rep. " 0 0 0 0 " 99844 End CPTL " 0 0 0 0 >= 252537 Wht cons. Sack 0 0 0 0 = 9.5 Wht prod. " -8.5 0 0 0 <= 0 Bean prod. " 0 -7.7 0 0 " 0 Fen. Prod. kantar 0 0 -7.6 0 " 0 Gar. prod. Sack 0 0 0 -36.8 " 0 Source: Constructed from survey data. 2- Hiring labour activities Tables 5.4 and 5.5 show the portion of the matrix representing HL activities in Merowe and Dongola localities respectively. The labour hiring activities were introduced in the models to supplement the family labour on a monthly basis. The unit of the activity is one manday. A standard manday was taken as the effort exerted by a healthy adult in the age of 15-64 years in working day. A one day labour input was assumed to be 0.75 standard manday for women and 0.5 for children and old person (Malik 1994 and Abd Elaziz 1999). The objective function coefficient of each of the hired labour activities represents average monthly wage rates estimated from the field survey. The coefficients carry negative signs since they draw from the value of the objective function. Objec. Funcion Constraints Unit HL June HL May HL Apr. HL Mar. HL Feb. HL Jan. HL Dec. HL Nov. HL Oct. HL Sep. Table 5.4. Hiring labour activities in Merowe locality Activities 700 700 700 700 700 700 700 700 700 700 Dir. -1 <= TL Oct. " -1 " TL Nov. " -1 " TL Dec. " -1 " TL Jan. " -1 " TL Feb. " -1 " TL Mar. " -1 " TL Apr. " -1 " TL May " -1 " TL June " -1 " OC Sept. SD 700 <= OC Oct. " 700 " OC Nov. " 700 " OC Dec. " 700 " OC Jan. " 500 " OC Feb. " 500 " OC Mar. " 700 " OC Apr. " 700 " OC May " 500 " OC June " 500 " Source: Constructed from survey data. TL Sept. m.d RHS 10 36 36 36 36 36 36 36 36 36 362425 0 48973 0 0 0 0 0 0 0 Objec. function HL Apr. HL Mar. HL Feb. HL Jan. HL Dec. HL Nov. HL Oct. Table 5.5. Hiring labour activities in Dongola locality Activities -700 700 700 500 500 700 700 Constraints Unit TL Oct. m.d. -1 TL Nov. " -1 TL Dec. " -1 TL Jan. " -1 TL Feb. " -1 TL Mar. " -1 TL Apr. " -1 OC Oct. SD 700 OC Nov. " 700 OC Dec. " 700 OC Jan. " 500 OC Feb. " 500 OC Mar. " 700 OC Apr. " 700 Source: Constructed from survey data. Dir. <= " " " " " " <= " " " " " " RHS 20 33 33 33 33 33 33 152693 99844 0 0 0 0 0 3- Selling activities These are activities which dispose of produced crops (through their link to the production balance equations) by selling. Five and four selling activities corresponding to each of the five and four crops grown in Merowe and Dongola localities respectively. Objective function coefficients for the selling activities represent average price per unit of sale. This sale value includes the value of crop plus that of crop byproduct for tomato crop in Merowe locality. Objective function coefficients of selling activities also appear as supplying the operating capital stream in the months where selling takes place (Tables 5.6 and 5.7). 54 0 Wht buying 195 0 Wht cons. Toma. selling 1171 1065 5 0 Onion selling 615 0 Fen. selling Bean selling Objec. function Wht selling Table 5.6. Crop selling, consumption and buying activities in Merowe Locality Activities 750 0 0 Constrain Uni ts t OC Sept. SD OC Oct. OC Nov. OC Dec. OC Jan. OC Feb. OC Mar. " " " " " " OC Apr. OC May OC June " " " Wht cons. sac k Wht prod. " Bean prod. Fen. Prod. Oni. Prod. Toma prod. " " 615 0 1171 1065 5 0 Dir RHS . <= 36242 5 " 0 " 48973 " 0 " 0 " 0 " 0 54 0 195 0 1 12.3 1 -6.6 -5.2 " " Source: Constructed from survey data 91.7 61 5 -1 " " " 0 0 0 = 8.5 <= 0 " 0 " 0 " 0 " 0 Gar. selling Wht cons. 610 0 1182 4 1235 0 345 0 750 0 Wht b i Fen. Selling Objec. function Bean selling Activities Wht selling Table 5.7. Crop selling, consumption and buying activities in Dongola locality 0 Constraint s OC Oct. Uni t " Dir . " OC Nov. OC Dec. OC Jan. OC Feb. OC Mar. " " " " " " " " " " 15269 3 99844 0 0 0 0 OC Apr. " " 0 Wht cons. sac k " " " " Wht prod. Bean prod. Fen. Prod. Gar. Prod. 1182 4 1235 0 610 0 345 0 1 -8.5 1 -7.7 -7.6 Source: Constructed from survey data. 36.8 = -1 <= " " " RHS 4- Wheat consumption and buying activities Wheat consumption and buying activities include meeting consumption requirements of wheat through production and or buying. Wheat consumption activity is included in the model with a zero objective function coefficient (no cost) and is linked to wheat consumption constraint and wheat production balance equation. The buying activity is permitted to allow households to satisfy wheat consumption constraint in case model production could not satisfy this constraint. The objective function value for this buying activity represents the average price households pay for purchased wheat (Table 5.6 and 5.7). 5- Borrowing activities Borrowing activities are used to supplement the amount of cash owned by the farmers. The main formal source of agricultural credit in the Northern State is the ABS. The seasonal loans provided by the ABS are in the form of agricultural inputs such as fuel, fertilizers and seeds. The bank lending term depend on Morabaha system, where the Morabaha margin determined by the Bank of Sudan for the year 2003 was 15%. This rate appear as a negative coefficient in the objective function (Tables 5.8 and 5.9). 6- Transfer activities Tables 5.10 and 5.11 show the portion of the matrix representing transfer activities in Merowe and Dongola models respectively. These activities allow the passing of unused capital in a specific month to the next one. The coefficients of capital transfer in the objective function carry zero values since it does not involve money transactions. Table 5.8. Borrowing capital activities in Merowe locality OC Sept. Un it SD OC Oct. OC Nov. OC Dec. OC Jan. OC Feb. OC Mar. OC Apr. OC May OC June CPT Rep. End CAPT " " " " " " " " " " " BC Oct. BC Nov. BC Dec. BC Jan. BC Feb. BC Mar. BC Apr. BC May BC June CPT.Rep. End CPT Objec. Function Constraints BC Sept.. Activities -0.15 -0.15 -0.15 -0.15 -0.15 -0.15 -0.15 -0.15 -0.15 -0.15 0 0 Dir . <= -1 -1 -1 -1 -1 -1 -1 -1 -1 1.15 1.15 1.15 Source: Constructed from survey data. 1.15 1.15 1.15 1.15 1.15 1.15 -1 1.15 1 -1 1 " " " "" " " " " " <= >= RHS 36242 5 0 48973 0 0 0 0 0 0 0 48973 41139 8 Table 5.9. Borrowing capital activities in Dongola locality Source: Unit " " " " " " " " " End CPT BC Apr. BC Mar. BC Feb. -0.15 -0.15 -0.15 -0.15 -0.15 -0.15 0 BC Jan. BC Nov. -0.15 BC Dec. BC Oct. Objec. Function Constraints OC Oct. OC Nov. OC Dec. OC Jan. OC Feb. OC Mar. OC Apr. CPT Rep. End CAPT CPT. Rep Constraints 0 Dir. <= " " " " " " <= >= -1 -1 -1 -1 -1 -1 1.15 1.15 1.15 1.15 1.15 1.15 -1 1.15 1 -1 1 Constructed from survey RHS 152693 99844 0 0 0 0 0 99844 252537 data. TC Mar./Apr. TC Apr./May TC May/June Objec. function 0 0 0 0 0 Constraints unit OC Sep. SD 1 OC Oct. " -1 1 OC Nov. " -1 1 OC Dec. " -1 1 OC Jan. " -1 1 OC Feb. " -1 OC Mar. " OC Apr. " OC May " OC June " Source: Constructed from survey data TC Feb./Mar. TC Jan./Feb. TC Dec./Jan. TC Nov./Dec. TC Sep./Oct. S TC Oct./Nov. Table 5.10 . Capital transfer activities in Merowe locality Activities 0 0 0 0 1 -1 1 -1 1 -1 1 -1 Dir. <= " " " " " " " " " RHS 362425 0 48973 0 0 0 0 0 0 0 TC Feb./Mar. TC Mar./Apr. Objec. Function 0 0 0 Constraints Unit OC Oct. SD 1 OC Nov. " -1 1 OC Dec. " -1 1 OC Jan. " -1 OC Feb. " OC Mar. " OC Apr. " Source: Constructed from survey data. TC Jan./Feb. TC Dec./Jan. TC Nov./ Dec. TC Oct/Nov Table 5.11. Capital transfer activities in Dongola locality Activities 0 0 0 1 -1 1 -1 1 -1 Dire. <= " " " " " " RHS 152693 99844 0 0 0 0 0 5.3.3 Constraints i- Land The amount of the available land per farmer was calculated and the averages obtained were 8.15 and 11.32 feddans in Merowe and Dongola localities respectively. These lands do not include the areas cultivated by permanent crops (dates, mangoes, citrus and lucern). The values of these lands represent the right hand side of the corresponding equation as shown in tables 5.2 and 5.3. ii- Labour Labour is a classical input assumed to affect output of the different crops. Elfeil (1993) stated that although the labour is assumed to be abundant and sometimes of negative marginal value in the developing countries, but still there are times when labour may become a constraining factor of production. This happens during the time of weeding, harvesting and such operations that demand large amounts of labour in just limited time. So, it is actually the limited time of the operations rather than any thing else. The amount of labour available in the two localities was calculated as follows: 1- The unit of analysis is the household head. 2- Family labour supply was measured using standard mandays. 3- The labour requirements of the perennials was subtracted from the available family labour available in the winter season. The average of the available family labour supply in each month plus the possible hired and nafir labours in the respective month of the model represents the right hand side of the equation as shown in Tables 5.4 and 5.5. iii- Irrigation Irrigation in the Northern State depend mainly on lift pumps. Elfeil (1993) stated that the shortages of fuel and spare parts for these pumps and for the other agricultural machinery have resulted in contraction of the cropped areas to a large extent as well as in very big reductions in the output per unit of areas cropped. Irrigation is expressed in number of waterings available on a monthly basis. The water requirements of the perennials crops were subtracted from the available water supply. These number of irrigations represent the right hand side of irrigation constraint. Table 5.12 shows the average number of waterings available in small private schemes in Merowe and Dongola localities. While the average number of waterings given to the winter crops per month in Merowe and Dongola localities are shown in Tables 5.13 and 5.14 respectively. Table 5.12. Average number of waterings available per month in private schemes of the Northern State by locality Month Sept. Oct. Nov. Dec. Jan. Feb. March April May Source: Author's survey, 2003 Merowe 48.7 48.7 48.7 48.7 48.7 48.7 48.7 48.7 48.7 Dongola 34.3 34.3 34.3 34.3 34.3 34.3 34.3 34.3 34.3 Table 5.13. Average number of waterings given to winter crops per month in Merowe locality (season 2002/2003). Month Wheat Brod beans Sept. 0 0 Oct. 0 0 Nov. 0 2 Dec. 4 3 Jan. 3 2 Feb. 3 2 March 1 0 April 0 0 May 0 0 Total 11 9 Source: Author's survey, 2003 Fennel Onion Tomato Total 0 0 2 4 3 2 0 0 0 11 0 0 0 1 4 3 3 2 1 14 3 4 3 3 3 3 2 1 0 22 3 4 9 13 15 13 6 3 1 67 Table 5.14. Average number of waterings given to winter crops per month in Dongola locality (season 2002/2003) Month Wheat Broad beans Oct. 0 0 Nov. 0 2 Dec. 3 2 Jan. 2 2 Feb. 2 1 March 1 0 Total 8 7 Source: Author's survey, 2003 Fennel Garlic Total 1 2 2 1 1 0 7 1 1 2 2 1 1 8 2 5 9 7 5 2 30 iv- Operating capital and credit constraints The available working capital required to finance purchases of agricultural inputs can be an important constraint on farm plan. Some working capital may be available from the farm family's own savings, but this can often be supplemented by borrowing (Hazel and Norton, 1986). The available capital to finance the agricultural production in the Northern State may be available from farmer's own funds and are often supplemented by borrowing. The available cash at the beginning of the season represents the farmer's own funds. It includes sales of date crop which is harvested in September and savings from farm, off-farm activities and assistance from sons, daughters and relatives. The average amount of cash available at the beginning of the season was found to be SD 362425 and SD 152692 in Merowe and Dongola localities respectively. Acredit limit is imposed reflecting the amount of credit provided by the ABS to each farmer per year. The average limits of credit obtained from the results of the survey were SD 48973 and SD 99843.8 in the two localities respectively. A cash balance row has been defined for each month. The cash balance row requires that the initial amount of funds available plus any credit borrowed in a specific month, must be at least as large as the working capital requirements for crop production during the month less any receipts from crop sales. However, if there is a surplus cash balance at the end of month, this surplus can be transferred to the next month through transfer activity. An end cash balance must be adequate to repay, with Morabaha margin, all the credit during the year. v- Consumption A consumption constraint of wheat is imposed. The survey data showed that the average annual consumption of the family was 8.5 and 9.5 sacks in Merowe and Dongola localities respectively. vi- The crop balance constraint The crop balance constraints indicated that the crop produced is completely used through sales and/or consumption. CHAPTER VI RESULTS AND DISCUSION OF THE LINEAR PROGRAMMING MODEL 6.1. Introduction This chapter presents and discusses the results of the basic models and present the different scenarios by changing their parameters. The information drawn from the LP solution includes the value of the objective function, the optimum enterprise combination, the level of resources used and their representive marginal productivities. The results of the basic models were validated by comparing the results to the real situation in the state as shown by the results of the field survey conducted in the year 2003. The results in this chapter were obtained by two runs. The first run was free run, where the areas of different cultivated crops were not restricted (i.e assigned >= 0 in the basic models). The application of this run depend on the fact that farmers in the Northern State do not follow any cropping rotation plus the assumption that farmers are profit maximizers and all crops require fertile soils. The second run is a restricted run, in which the cultivated crops were restricted to their maximum areas (i.e assigned <= Bi in the basic models). This run was applied to satisfy the need of diversification and aversion of natural and market related risks, in addition to the fact that some high value crops require highly fertile soils. 6.2. The basic solution 6.2.1. The free model run The basic solution of the free run LP model is given in Table 6.1. Further calculations were made on the results for estimating resource utilization. Table 6.1. Basic solutions of the free cropping LP models in comparison to the observed Item Cropping pattern Wheat Broad beans Fennel Onion Garlic Tomato Resource use -Total land -Family labour -% (utilized FL/total FL*100) -Hired and nafir labour % (utilized HL and NL/total utilized labour*100) -Total labour -%(utilized TL/TL*100) -Total number of irrigations Returns -Net farm income -Net farm income (wheat consumption requirement is satisfied) Ratio of real income to model Unit Merowe Model Actual Dongola Model Actual Fed. Fed. Fed. Fed. Fed. Fed. 0.00 0.00 0.00 0.00 8.15 1.3 2.75 0.6 0.35 0.7 0.00 7.74 0.37 3.19 - 3.75 3.65 0.4 0.33 - Fed. MD 8.15 252 84% 5.7 247.4 76.4% 11.3 231 100% 8.13 222.7 96.2% MD 169.4 37% 43.1 15% 226 49.34% 120 35% MD 435.4 80.4% 179.3 290.5 54% 66.2 457 98% 82.2 342.3 73% 61.2 SD SD 1,701,614 1,637,864 319,086.4 266,811.4 457,843.4 386,593.4 233,704.7 175,754.7 SD 16.3% 45.46% A- Cropping pattern From Table (6.1) we can see that there is a big difference between the actual land used allocated between the different crops and the optimum land allocated as the model answer for the two localities. The model answer confined all the available land in Merowe locality to tomato crop. While actually farmers allocated most of the cultivated land to broad beans, followed by wheat and then tomato, fennel and onion crops. The LP results allocated most of the available land in Dongola locality to broad beans, followed by garlic and fennel crops. In practice, wheat and broad beans crops occupied approximately the same largest areas, while small areas were cultivated by fennel and garlic crops. Wheat crop under the free cropping LP model did not enter the plan in the two localities, which was attributed, in addition to its low prices in the state, to its low productivity in Dongola locality. As discussed in chapter two the productivity of wheat for the 90/912001/2002 seasons ranged between 6 and 15 sacks per feddan, with an average being 10.5 sacks. The average productivity of wheat in Merowe locality for the season 2002/2003 was 12.3 sacks per feddan which was higher than the average of the past twelve years, while the average productivity for the season 2002/2003 in Dongola locality was 8 sacks per feddan which was lower than the average of the last twelve years. The tomato crop in Merowe locality occupied all the area in the LP results, since it is a profitable crop and farmers are familiar with its production. The production of this crop was encouraged in the past by the establishment of Kareima canning factory which was operated mainly for tomato processing. However, tomato cultivated areas contracted in the last years due to the deterioration of the canning factory, the infestation of the crop by hallouk parasite (Orobanche remosa) and the spread of leaf curl disease which is transmitted by the white fly insect. B- Resource use i- Labour use in the basic free cropping model in comparison to reality. From Table 6.1 the total labour required in the solution of Merowe locality LP model was 436 mandays compared to 290.5 mandays actually utilized during the winter season 2002/2003. In Dongola locality the total labour required in the model answer were 456.9 mandays compared to 342.2 mandays actually utilized. In Merowe locality about 84% of the total family labour was utilized in the optimum solution, while the percentage actually utilized was 76.4%. In Dongola locality all family labour was required in the optimum solution compared to 96.2% utilized in real situation. The percentages of the hired and nafir labour required in the optimum solution was 37.6% and 49.34% in Merowe and Dongola localities respectively. While the percentages of hired and nafir labour actually utilized were 14.83% and 35% in the two localities respectively. ii- Irrigation water required in the basic models in comparison to reality From Table 6.1 the total number of irrigations required in the optimum solution of Merowe locality was 179.3, compared to 66 waterings actually utilized in the season 2002/2003. The number of waterings required in the optimum solution of Dongola locality was 82.2 waterings compared to 61.2 irrigations actually applied. C- Net farm income Table 6.1 includes two figures for net farm income, in one the value of wheat consumption is included and in the other wheat consumption requirement is satisfied. It is observed from the table that the values of the net farm income from the basic free cropping models were greater than the values actually obtained in the two localities. The value of the objective function in Merowe locality was SD 1637864 compared to SD 266811.4 actually obtained (i.e the difference of 514%). In Dongola locality the value of the objective function was SD 386593.4 compared to SD 175754.7 actually obtained (the difference of 120%). The big differences between the models values and the real ones were because in the optimum solution all land in Merowe locality was confined to tomato crop, which is a high value crop and most of land in Dongola locality was confined to broad beans which had relatively good prices. While in real situation most of Merowe locality lands was cultivated by wheat and broad beans crops, and in Dongola locality the largest portion of lands was cultivated by wheat crop. Wheat had had low prices in addition to its low productivity in Dongola locality. Broad beans had had relatively good prices, but its productivity was low in Merowe locality. This is consistent with the results of the gross margin analysis, where the crops which occupied small cultivated areas in practice scored high gross margins and those occupied large areas recorded low gross margins. The linear programming also consistent with the regression analysis which showed that the marginal value productivities of some resources were low relative to their marginal costs. 6.2.2 The restricted model run A- Cropping pattern The free cropping models option does not reflect the existing situation in the two localities. Some crops are usually grown to limited areas because of the need for diversification and aversion of natural and market related risks. The maximum areas usually allocated to these crops are limits used in the LP models as constraints. In Merowe locality model the cropping restriction was made by two steps. In the first step only tomato crop which occupied all the land in the free cropping run results was restricted to its maximum area. The optimum solution in this step allocated 5.6 feddan to onion crop beside 2.6 feddans confined to tomato crop. The net farm income decreased from SD 1637864 to SD 954924.2 (42% reduction). In the second step the area of onion crop was also restricted to its maximum area usually cultivated. In Dongola locality only the area of broad beans crop was restricted to its maximum area usually cultivated. The optimum solutions of the basic restricted cropping models are shown in Table 6.2. From Table (6.2), broad beans crop occupied the largest area as the answer of the basic restricted cropping LP models of Merowe locality, beside the areas restricted for tomato and onion crop. Fennel crop did not enter the plan due to its low productivity. The productivity of fennel crop for the season 1990/91-2001/02 ranged between 6 and 10 kantar per feddan, with an average of 7.8 kantar. The average productivity obtained for the season 2002/03 was 5.2 kantar, which is lower than the average for the past twelve years (see table 2.10). The wheat crop entered the plan at a level just satisfying the consumption requirements. Table 6.2. Basic solutions of the restricted cropping LP models in comparison to the observed Merowe Item Cropping pattern Wheat Broad beans Fennel Onion Garlic Tomato Resource use -Total land -Family labour -% (utilized FL/total FL*100) -Hired and nafir labour -% (utilized HL and NL/total utilized labour*100) -Total labour -% (utilized TL/TL*100) -Total number of irrigations Returns -Net farm income (including value of wheat consumption) -Net farm income (wheat consumption requirement is satisfied) Ratio of actual income to model Dongola Unit Model Actual Model Actual Fed. Fed. Fed. Fed. Fed. Fed. 0.69 3.96 0.00 0.9 2.6 1.3 2.75 0.6 0.35 0.7 0.00 4.6 3.32 3.38 - 3.75 3.65 0.4 0.33 - Fed. MD 8.15 289 86.5% 5.7 247.4 76.4 11.3 231 100% 8.13 222.7 96% MD 176.6 39% 43.1 15% 227.2 49.6 120 35% MD 465.6 86% 290.5 54% 458.2 342.2 73.2% 113 66 82.4 61 SD 809654 319086.4 437284.5 233704.7 SD 757804 266811.4 378859.5 175754.7 35.2% 46.39% In the results of the LP model for Dongola locality, broad beans occupied its restricted area (4.6 feddans), followed by garlic and fennel crops. The wheat crop did not enter the plan due to its low productivity and low prices. The productivity of wheat for the season 2002/03 was 8.5 sacks per feddan in Dongola locality which was lower than 10.5 sacks per feddan, the average for the past twelve years. The productivity of fennel crop in Dongola locality was better than that of Merowe locality. The average obtained was 7.6 kantar per feddan compared to 7.8 kantar per feddan, the average for the past twelve years. The garlic crop yield obtained in the season 2002/03 was 36.8 kantar per feddan which was higher than 33.8 kantar per feddan, the average for the past twelve years. B- Resource use i- Labour use in The basic restricted cropping model in comparison to the actual use. From Table 6.2 the total labour required for the optimum plan was 465.6 mandays compared to 290.5 mandays actually utilized. In Dongola locality the total mandays required were 461.2 compared to 342.5 mandays actually utilized. About 87% of the family labour was required for the optimum plan of Merowe locality. Family labour are all required during the months from September to April. In Dongola locality all family labour was required during all months of the season (October to April). The percentage of hired and nafir labour required for the optimum plan of Merowe locality was 39% of the total required labour, while the required percentage for Dongola plan was 49.6%. Table 6.3 shows the number of mandays required for the optimum plan of the restricted cropping models. Table 6.3. Number of mandays required in the basic solutions in comparison to the observed Merowe Month Dongola Model Observed Model Observed Sept. 24 10.3 - - Oct. 59 37.8 61 45 Nov. 59.6 44.2 69 50.5 Dec. 64.4 44.8 96 69.8 Jan. 54 33.6 61.2 51.6 Feb. 60 37.3 33 24.7 March 81.6 58.8 62 45 April 36 13.4 76 55.6 May 7.6 3 - - June 19.4 7.5 - - Total 465.6 290.5 458.2 342.2 Table 6.3 shows two peaks of labour utilization in the optimum solution and real situation of Merowe locality, the first one was during November and December and the second one was during March. The table also shows two peaks of labour utilization in the optimum solution and the real situation of Dongola locality, the first peak was during November and December, while the other was during March and April. ii- Irrigation water use in the basic models in comparison to reality From Table 6.2 the total number of irrigations required for the optimum solution of the restricted model of Merowe locality was 113 compared to 66.2 waterings actually utilized. In Dongola locality the number of 82.4 waterings was required for the optimum solution compared to 61 waterings actually utilized in the winter season 2002/2003. Table 6.4 shows the monthly average number of waterings required in the optimum solution, while the surplus irrigation water per month is shown in Table 6.5. Table 6.4. The monthly average number of irrigations required in the basic solutions in comparison to the observed Merowe Month Dongola Model Observed Model Observed Sept. 7.8 2.1 - - Oct. 10.4 2.8 6.7 0.7 Nov. 15.7 8.8 19.22 8.4 Dec. 23.33 18.3 22.6 20 Jan. 21.39 14.7 19.25 16 Feb. 20.49 13.8 11.3 12 March 8.59 3.8 3.33 4.1 April 4.4 1.4 - - May 0.9 0.4 - - Total 113 66.1 82.4 61.2 Table 6.5. The surplus irrigation water in the basic solutions of the LP models Month Merowe Dongola Sept. 40.9 - Oct. 38.3 27.6 Nov. 32.98 15.07 Dec. 25.35 11.7 Jan. 27.30 15.02 Feb. 28.20 23 March 40.1 30.92 April 44.3 - May 47.8 - Total 235 123.5 iii- Credit use in the basic models The results showed no problem of credit in the model of Merowe locality. While it showed a credit problem during October, November, December, January and February in the restricted model of Dongola locality.Table 6.6 shows the marginal value productivities of credit in the basic models. Table 6.6. Marginal value productivities of credit (SD/unit) in the basic solutions of the LP models Month Merowe Dongola Sept. 0.00 - Oct. 0.00 0.15 Nov. 0.00 0.15 Dec. 0.00 0.15 Jan. 0.00 0.15 Feb. 0.00 0.15 March 0.00 0.00 April 0.00 0.00 May 0.00 0.00 June 0.00 0.00 C- Net farm income From Table (6.2), the net farm income in the optimum solution of the LP model of Merowe locality was SD 757804 which was higher than the actual achieved by 184%. In Dongola locality , the net farm income was SD 378859.5 which was higher than the actual value obtained in the season 2002/2003 by 116%. 6.3 Policy analysis scenarios (Sensitivity analysis) In this section the basic linear programming models were developed by changing their parameters to reflect a range of production options found in the system. The scenarios reflect the effect of cost of production, prices, productivities and adoption of improved technologies. 6.3.1 The effect of the cost of production 6.3.1.1 The impact of lowering the present cost by 25% This scenario was developed to examine the impact of lowering the present cost of all crops by 25%. The results increased the net farm income in Merowe locality by 18% from SD 757804 to SD 893434.2 and no change in the crop mix. In Dongola locality the net farm income increased from SD 378859.5 to SD 542399.3 (43% increase). The crop mix was changed and the largest area (6.2 feddans.) was allocated to garlic, broad beans crop occupied its restricted area (4.6 feddans), while fennel crop occupied only 0.4 feddans. 6.3.1.2 The impact of lowering the present cost by 50% The results of this scenario has no effect in the crop mix of Merowe locality, however, the net farm income increased from SD 757804 to SD 1047426 (30% increase). In Dongola locality the net farm income increased by 78% from SD 378859.5 to SD 675624.3. The crop mix was slightly changed and allocated 6.7 feddans to garlic crop beside the restricted area of the broad beans crop (4.6 feddan). 6.3.1.3. The impact of lowering wheat cost by 25% and 50% The results of lowering wheat cost by 25% increased the net farm income in the model of Merowe locality by 3% from SD 757804 to SD 782404.3. Wheat occupied the largest area (4.65 feddan) beside the restricted areas of tomato and onion crops. The results of lowering wheat cost by 50% increase the net farm income in the model of Merowe locality from SD 757804 to SD 830313.3 (9.6% increase) and also wheat crop occupied the same largest area. Broad beans and fennel crops did not entered the plan due to their low productivities. In Dongola locality the net farm income and the crop mix were not changed by lowering wheat cost by 25%. The results of lowering wheat cost by 50% increased the net farm income from SD 378859.5 to SD 382765.5 (1% increase) and wheat crop entered the plan at a level just satisfying the consumption requirements (1.11 feddans) as shown by Table 6.7. Table 6.7. Net farm income (SD) and crop mix (fed.) resulting from lowering wheat cost by 50% Item Merowe Dongola Net farm income 830313.3 382765.5 Wheat 4.6 1.11 Broad beans 0.00 4.6 Fennel 0.00 2.83 Onion 0.9 - Garlic - 2.74 2.6 - Cropping pattern Tomato 6.3.2 The effect of crops prices 6.3.2.1 The impact of increase in wheat price by 20% The results was changed only the model of Merowe locality. The net farm income increased from SD 757804 to SD 778421.1 (2.7% increase). Wheat crop occupied the largest area (4.6 feddans), beside the restricted areas of tomato and onion crops. Broad beans and fennel were excluded due to their low productivities. 6.3.2.2 The impact of decrease in tomato price in Merowe locality by 25% This run was made to averse marketing risk with respect to tomato crop. The supply of tomato product is elastic since it is a perishable vegetable and hence the expansion in its production expected to face low prices. The results of this scenario reduced the net farm income by 34% from SD757804 to SD 502661.3. Wheat occupied the largest area (4.6 feddan), beside the restricted areas of tomato and onion crops. Broad beans and fennel crops were also excluded. 6.3.2.3 The impact of decrease in tomato price by 25% and increase in wheat price in Merowe locality by 20% The results of this scenario decreased the net farm income by 26% from SD 757804 to SD 562556.1. It allocated 4.6 feddan to wheat, beside the restricted areas of tomato and onion crops. 6.3.2.4 The impact of decrease in tomato price by 50% and increase in wheat price in Merowe locality together by 20% The results of this scenario decreased the net farm income by 54% from SD 757804 to SD 346691.1. The crop mix was the same as the previous scenario. 6.3.3 The effect of crops productivity 6.3.3.1 The impact of increase in wheat productivity by 25% In the model of Merowe locality the net farm income increased from SD 757804 to SD 807178.5 (6.5% increase). Wheat crop occupied the largest area (4.65 feddans) beside the areas restricted for tomato and onion crops. In the model of Dongola the net farm income increased from SD 378859.5 to SD 379617.3 (0.2% increase). Broad beans occupied its restricted area (4.6 feddans), fennel and garlic occupied 2.93 and 2.86 feddans, respectively and only 0.89 feddans was confined to wheat crop which is satisfied a part of the consumption requirements. 6.3.3.2 The impact of increase in broad beans productivity by 25% In Merowe locality, the net farm income increased from SD 757804 to SD 842527.7 (11% increase). Broad beans occupied the largest area (4.65 feddan), beside the restricted areas of tomato and onion crops. In Dongola locality net farm income increased by 27% from SD 378859.5 to SD 482201.3. Broad beans occupied its restricted area (4.6 feddan), fennel and garlic crops occupied 3.32 and 3.37 feddans respectively. 6.3.3.3 The impact of increase in productivity of wheat and broad beans together by 25% The results of this scenario increased the net farm income in Merowe locality by 12% from SD 757804 to SD 849496.3. Wheat crop occupied the largest area (4.65 feddans) beside, the areas restricted to tomato and onion crops. In Dongola locality the net farm income increased by 27% from SD 378859.5 to SD 482959. Broad beans occupied its restricted area (4.6 feddans), fennel occupied 2.93 feddans, garlic occupied 2.86 feddans, while only 0.89 feddans were allocated to wheat crop. 6.3.3.4 The impact of increase in productivity of wheat in Dongola locality by 50% The answer of this scenario increased the net farm income by 2% from SD 378859.5 to SD 387318.1. Broad beans occupied its restricted area (4.6 feddans), fennel occupied 3 feddans, garlic occupied 2.95 feddans and wheat also occupied only 0.74 feddans. 6.3.4 The effect of crops productivity and prices 6.3.4.1 The impact of increase in productivity of wheat in Dongola locality by 25% and in its price together by 20% In the results of this scenario the wheat crop occupied only 0.89 feddans which is satisfied only a part of the consumption requirements. 6.3.4.2 The impact of increase in productivity of wheat in Dongola by 30% and in its price together by 20% The results of this scenario increased the net farm income by 3% from SD 378859.5 to SD 389918.7. It allocated the largest area (5.46 feddans) to the wheat crop, while broad beans crop occupied its restricted area (4.6 feddans) and only 0.95 and 0.28 feddans were allocated respectively to fennel and garlic crops. 6.3.5 Impact of application of technological packages Technological packages can be defined as the transfer of technology and innovation generated by research scientists aims at improving farm productivity to maximize farmer's returns. It is broadly defined as a change in the total farm output resulting from given set of production inputs. Bushara (1987) stated that the adoption of improved production practices by farmers is not just a question of transfer of technology. An essential prerequisite to this is securing resources and inputs to the farmers. The implementation of newly developed technologies is expected to affect crop organization due to their impact on yields as well as cost of production (Abd Elaziz, 1999). According to ICARDA, cited by Mohamed (2000), the yield of broad beans crop in Sudan increasing between 27% to 115% were obtained by farmers adopting improved production package. Wilson (1996) stated that wheat yield at HRS is almost four times that scored on small holder plots, the gap in yield gives some indications of the potential for increasing wheat output. The packages recommended by HRS for wheat and broad beans , the major winter crops are summarized by Abd Elaziz (1999) as follows: - Proper land preparation of applying first ploughing, second ploughing and then leveling. - The recommended sowing date of wheat and broad beans crops is in the first week of November. - Cultivation of improved seeds. - Application of 9 number of irrigations for the two crops. - Proper weed control by two hand weedings. - Application of 80 kgs of fertilizer per feddan for wheat crop. - The outcomes of the on farm demonstrations of the packages are 18 sacks and 14 sacks per feddan for wheat and broad beans respectively. The farmer's practices against the technical packages were discussed in details in chapter three. The deviations from the proper practices can be summarized in the following points: - Land preparation i- About 54% and 31% of the sampled farmers in Merowe and Dongola localities respectively employed traditional plough. Solh (1995) stated that wheat production in the Sudan is fully mechanized. For farmers to obtain high yields and make profits, machinery has to be efficiently used and managed. ii- Approximately all farmers in Merowe locality and about 66% of farmers in Dongola locality did not applied second ploughing. iii- About 32% and 11% of farmers in the two localities respectively did not applied leveling. - Sowing date: About 55% and 54% of wheat growers and about 31% and 38% of broad beans growers in Merowe and Dongola localities respectively delayed the cultivation of wheat and broad beans crop till December. - Improved seeds: About 30% and 40% of wheat growers in Merowe and Dongola localities respectively cultivated traditional seeds. While the percentages of farmers cultivated traditional seeds of broad beans crop in the two localities were 38% and 52% respectively. - Number of irrigations The average number of irrigations given for wheat and broad beans in Dongola locality were 7.6 and 7 irrigations for the two crops respectively. - Fertilizer application The average quantities of fertilizers applied for wheat crop were 65 and 71.4 kgs per feddan in the two localities respectively. - Weed control The number of weeding applied by most of wheat and broad beans growers were one weeding in Merowe and three weedings in Dongola locality. - Yields The average yields obtained by wheat growers in Merowe and Dongola localities were 12.6 and 8 sacks/fed in the two localities respectively. While the average of 6 and 7.7 sacks per feddan were obtained by broad beans growers in the two localities respectively. This scenario was made by changing the parameter of wheat and broad beans activities in the basic models according to the improved technological packages. The results of this scenario showed that the adoption of improved technology increased the net farm income in Merowe locality by 52% from SD 757804 to 1149693. Broad beans occupied the largest area (5.55 feddans) beside the restricted area of tomato crop. Broad beans occupied the largest area by adoption of improved technology since it is a high value crop and the prices for the season 2002/2003 was twice as that of wheat crop, and for this reason wheat crop did not entered the plan (Table 6.8). In Dongola locality the net farm income increased by 123% from SD 378859.5 to SD 845399.The wheat crop occupied the largest area (6.3 feddans), broad beans occupied its restricted area (4.6 feddans) and only 0.4 feddans was occupied by fennel crop as shown by Table 6.8. adoption of improved technology land , labour and capital With are the constraining factors in Dongola locality, while, the constraining factors in Merowe locality are the land and labour. The peak months of labour utilization are November, December and March in Merowe locality and November, December, January and April in the model of Dongola locality. Table 6.8. The net farm income (SD) and crop mix (feddan) of the improved technologies in comparison to basic models Item Merowe Dongola -Low technology 757804 378859.5 -Improved technology 1149693 845399 -Low technology 0.69 0.00 -Improved technology 0.00 6.3 -Low technology 3.69 4.6 -Improved technology 5.55 4.6 Fennel 0.00 0.4 Onion 0.00 - Garlic - 0.00 2.6 - Net farm income Cropping pattern Wheat Broad beans Tomato CHAPTER VII SUMMARY, CONCLUSIONS AND RECOMMENDATIONS 7.1. Summary The Northern State has the potential to have great contribution to the agricultural production of the country due to the advantages of: favourable climatic conditions, availability and good quality of irrigation water, highly fertile soils, availability of improved technical knowledge recommended by researchers for most of the winter crops and well experienced and skilled farmers. In addition, the construction of Merowe dam is expected to enhance the agricultural production in the state through electrifying the pumps . Despite these advantages, the agricultural production in the state faces problems of high costs of production, low crop yields, low prices and accordingly low farmer's income. The overall objective of this study is to evaluate the farming system in the Northern State and identify the constraints that stand in the way of its potential contribution to the Sudan's economy. Within this context the study investigated the socio-economic characteristics of farmers, comparison of economic efficiency of the use of resources, the optimum cropping patterns under farmers conditions, identify the constraints facing agricultural production in the state and examine the effects of the introduction of certain scenarios on farm income, resource use allocation and crop mixes. The study depended mainly on primary data for the 2002/2003 agricultural season which was collected by direct interviewing of respondents through a multistage-stratified random sampling technique using structured questionnaires. The respondents were individual private farmers and agricultural companies schemes owners. The study also used secondary data which was collected from the relevant institutional sources. In order to achieve the stated objectives the survey data collected was subjected to both descriptive and statistical analysis. Regression analysis using Cobb-Douglas production function and the linear programming techniques were applied. The study showed that the average age of the farmer was 45 and 48.3 years in Merowe and Dongola respectively. The percentages of illiterate farmers were 10% and 19% in the two localities respectively. The average family size was found to be 7.4 and 7.6 persons in Merowe and Dongola respectively. The structure of the farm is either owned lands, shared cropped lands or public lands. The farm size ranged between 0.3-50 feddans, with an average of 10.4 feddans in Merowe, while it ranged between 1.5-50 feddans, with an average of 12 feddans in Dongola. According to the type of the scheme, the average farm size in private schemes was 11.2 and 13.7 feddans in Merowe and Dongola respectively. While it was 6.9 and 10.5 feddans in the companies schemes of the two localities respectively. Most of the sampled farms (81.6%) in Merowe locality were irrigated from the Nile, while only 36.3% of those in Dongola were irrigated from the Nile. Most of small schemes in the state employed three inches pumps. Cropping intensity in the private schemes was 94.3% and 106.4% in Merowe and Dongola respectively. While in companies schemes it was 121% and 81.3% in the two localities respectively. The areas cultivated in the winter season contributed about 55% and 61.4% of the total cultivated areas in the private schemes of Merowe and Dongola respectively, while it contributed about 29.4% and 73.4% in the companies schemes of the two localities respectively. In the private schemes of Merowe the broad beans crop occupied the largest cultivated area (26%), followed by date palms (25.9%),while wheat crop came fourth and occupied 12.3%. In the private schemes of Dongola, wheat crop occupied the largest cultivated area (27.4%), and broad beans crop occupied 26.6%. In Merowe companies schemes, 35.7% of the cultivated land is under date palms, 24.6% occupied by wheat crop, 23.9% occupied by summer crops, while only 4.7% was cultivated by broad beans crop. In Dongola companies schemes the largest area were cultivated by wheat (46.7%) and broad beans (26.3%). All the sampled farmers in Merowe locality applied the first ploughing, only one farmer applied second ploughing and about 68% applied the leveling practice. In Dongola locality, about 95% of the sampled farmers applied the first ploughing, 34% applied the second ploughing and 89% applied leveling. More than half (54%) of the sampled farmers in Merowe employed traditional plough, while only 31% of those in Dongola employed the traditional plough. About 55% and 54% of the respondents wheat growers in Merowe and Dongola respectively delayed the planting of the crop till December, while about 38% and 39% of them in the two localities respectively planted the crop in November. About 59% and 55.6% of the broad beans growers in Merowe and Dongola respectively planted the crop in November, about 30.7% and 37.8% in the two localities respectively planted it in October, about 7.7% and 4.4% in Merowe and Dongola respectively planted it in December and about 2.6% of them in the two localities planted the broad beans crop in January. The number of waterings applied for wheat crop exceeded the recommended number of waterings by 22% in the private schemes of Merowe, while those applied in companies schemes was lower than the recommended one by 33%. The number of irrigations applied for broad beans in this locality was 4.4% and 33% short of the recommended number of irrigations in private and companies schemes respectively. In Dongola locality the shortage of 15.9% of the recommended number of irrigations for wheat crop observed in both private and companies schemes. While the number applied for broad beans crop was 22% and 9% short of the recommended number of irrigations in private and companies schemes respectively. The quantity of wheat seeds applied was beyond the recommended seed rate by 21% and 3% in Merowe and Dongola respectively, while the quantity of broad beans seeds exceeded the recommended seed rate by 5% and 50% in the two localities respectively. The average fertilizer rate applied for wheat crop was less than the recommended one by 18.8% and 10.8% in the two localities respectively. Most of farmers in the state adopted improved seeds varieties, where only about 30% and 39.6% of wheat growers in the two localities respectively cultivated baladi (traditional) varieties. The yields of wheat crop obtained in the private schemes were 31.7% and 55.5% less than the targeted yields in Merowe and Dongola respectively. In companies schemes the yields obtained were 57% and 62% less than the targeted ones in the two localities respectively. The yields of broad beans obtained in private schemes were 57% and 45% less than the expected yields in Merowe and Dongola respectively, while in companies schemes they were 70% and 37% less than the expected yields in the two localities respectively. The results showed that largest area in Merowe locality was cultivated by broad beans, followed by wheat crop, while in Dongola locality the two crops occupied approximately the same largest areas. Broad beans in Merowe and wheat in Dongola scored relatively low yields and in general the marginal value productivities of some resources were low relative to their costs. The regression coefficient of the land resource showed a negative relationship between the land variable and the farm income in private and companies schemes of the two localities. The utilization of land resource was more efficient in private schemes of Merowe locality compared to companies schemes, while in Dongola locality land utilization is more efficient in companies schemes compared to private schemes. The labour resource was under utilized in Merowe private schemes, efficiently utilized in Dongola private schemes. The resource was utilized beyond the optimum level in companies schemes of the two localities. The capital resource too was utilized beyond the optimum level in private and companies schemes of the two localities. The results of the basic solution of the linear programming model showed a land use that is very different from the current land use. The results allocated 3.96 feddans of the available land of Merowe locality to broad beans beside the areas restricted for tomato (2.6 feddans) and onion (0.9 feddans). The wheat crop entered the plan at a level just satisfying the consumption requirements while fennel crop did not entered the plan. In Dongola locality broad beans occupied its restricted area of 4.6 feddans, garlic occupied 3.38 feddans, while wheat crop did not entered the plan. Land is a constraining factor in the two localities, family labour was fully utilized in the months of September to April in Merowe locality and in the months of October to April in Dongola locality. Credit did not come up as a problem in Merowe locality but it was a constraining factor during the months of October to February in Dongola locality. There is no problem of irrigation water in the two localities. The net farm income in Merowe locality was SD 757804, which was higher than the current level obtained by 184%. In Dongola locality the net farm income was SD 378859.5, which was higher than the value actually obtained in the 2002/2003 season by 116%. The results of the scenario lowering the cost of production of all crops by 25% increased the net farm income by 18% and 43% in the two localities respectively. The crop mix in Merowe locality was not changed, while in Dongola locality it was changed. The largest area, about 6.2 feddans went to garlic instead of fennel crop Lowering the present cost of production of all crops by 50% increased the net farm income by 30% and 78% in Merowe and Dongola localities respectively and the crop mix was slightly changed in Dongola locality. Lowering only the wheat cost by 25% increased the net farm income in Merowe locality by 3% and wheat crop occupied the largest area. The scenario has no effect on the net farm income and the crop mix in Dongola locality. Lowering wheat cost by 50% increased the net farm income in its restricted model by 9.6% and 0.7% in Merowe and Dongola respectively. Wheat crop occupied the largest area in Merowe locality, while it entered the plan at a level just satisfying the consumption requirements in Dongola locality. The results of the scenario of increasing wheat price by 20% changed only the model of Merowe locality, where the net farm income was increased by 2.7% and the wheat crop occupied the largest area. Lowering tomato price in Merowe locality by 25% reduced the net farm income by 34% and wheat crop occupied the largest area. Lowering tomato price in Merowe locality by 25% and increasing wheat price by 20% decreased the net farm income by 26% and also the largest area was allocated to wheat crop. Lowering tomato price by 50% and increasing wheat price by 20% in Merowe locality decreased the net farm income by 54%, wheat crop occupied the largest area and the tomato crop still occupied its restricted area. The results of the scenario of increasing wheat productivity by 25% increased the net farm income in Merowe locality by 6.5%, wheat crop occupied the largest area, beside the areas restricted for tomato and onion crops. In Dongola locality the net farm income increased only by 0.2% and 0.89 feddans were allocated to wheat crop which meets only part of the consumption requirements. Increasing broad beans productivity by 25% increased the net farm income by 11% and 27% in the two localities respectively and broad beans occupied the largest areas. Increasing wheat and broad beans productivities together by 25% increased the net farm income by 12% and 27% in Merowe and Dongola localities respectively. Wheat crop occupied the largest area in Merowe, while the largest area in Dongola locality was allocated to broad beans crop. Increasing the productivity of wheat in Dongola by 50% increased the net farm income by 2%, broad beans occupied the largest area, and only 0.74 feddans were allocated to wheat crop. In the solution of the scenario of increasing wheat productivity in Dongola by 25% and its price together by 20%, wheat crop also occupied only 0.89 feddans. Increasing wheat productivity in Dongola locality by 30% and its price by 20% increased the net farm income by 3% and the largest area (5.46 feddans) was allocated to wheat crop. The results of the scenario of applying technical packages increased the net farm income by 52% and 123% in the two localities respectively. Broad beans occupied the largest area in Merowe locality, while in Dongola locality the largest area was allocated to wheat crop. 7.2 Conclusions 1- The farms in the Northern State are managed by active educated males. 2- The high cropping intensity indicated that the lands in the Northern State are exhausted. 3- Most of the farmers employed traditional plough and the practice of the second ploughing is rarely applied due to small holdings. 4- Most of farmers delayed the sowing of wheat till December. 5- The number of waterings applied for wheat in the private schemes of Merowe exceeded the recommended number, while it was less than the recommended number of waterings in companies schemes of Merowe and private and companies schemes of Dongola. 6- The number of applied waterings for broad beans was less than the recommended one. 7- The quantity of the applied wheat and broad beans seeds exceeded the recommended seed rate by varying degrees among the two localities. 8- The quantities of the applied fertilzer for wheat crop was less than the recommended one 9- Most of the wheat growers in the state adopted improved seed varieties, while most of broad beans growers in Merowe locality cultivated improved seeds and most of them in Dongola cultivated traditional seeds. 10- The actual yields level of all crops grown were significantly below the recommended ones. 11- Land and capital were inefficiently used in private and companies schemes of the Northern State, while the labour resource was efficiently used in the private schemes of Dongola locality. 12- Farmers of the Northern State could be described as profit maximizers since they spend more in purchasing agricultural inputs and at the same time they are risk averse and so they intend to diversify cultivation of food and cash crops. 13- Land, labour and capital were the main factors constraining agricultural production in the Northern State. 14- The basic solution of the LP model indicated that comparative and absolute advantages are not made use of, wheat crop should not be produced on commercial basis in the two localities. The crops to be grown in Merowe locality are broad beans, tomato, onion and wheat crop at a level just satisfying consumption requirements. While those to be grown in Dongola are broad beans, garlic and fennel. As a result the net farm income increased by 184% and 364% respectively. 15- According to the results of the basic model wheat could be produced on commercial basis in Merowe locality when its present costs are reduced by 25%, when its price is increased by 20%, when its present productivity is increased by 25% (i.e 15.4 sacks/feddan) or when tomato price is decreased by 25%.While in Dongola locality wheat could be produced on commercial basis when its present productivity is increased by 30% (i.e 11 sacks/feddan) together with 20% increase in its price, or when the productivity obtained by adoption of improved technology (18 sacks/feddan) is achieved. 16- The adoption of improved technology scenario indicated that the crops to be grown in Merowe are broad beans, tomato and onion, while those to be grown in Dongola are wheat, broad beans and small areas of fennel crop. 7.3 Recommendations Based on the findings of the study, the following are recommended: 1- Comparative and absolute production advantages should be made use of. Hence, wheat is not to be produced in the state under the present level of productivity and prices, in order to make use of the state's comparative advantages in tomato, onion and broad beans in Merowe and broad beans, garlic and fennel in Dongola locality. As a result farm income would increase by 184% and 364% in the two localities respectively and consequently the efficiency of resource can be improved. 2- To produce the wheat crop in commercial levels in Merowe locality, policy measures must be made to raise the present yield to 15 sacks/feddan, or its present price by 20%. While in Dongola locality, the present yield must be increased to 18 sacks/feddan or to 11sacks/feddan together with increase in its price by 20%. 3- Field crops should not be cultivated in non productive lands (i.e high terrace, marginal or any less fertile lands). However, the less productive lands can be cultivated by date palms. 4- Since the high cropping intensity means that lands in the Northern State are exhausted, farmers should be advised to follow cropping rotation and the lands cultivated in the summer season should not be cultivated in the winter season of the same year. 5- The improvement of the extension services in the state is essential to advise farmers to apply the technical packages, namely, the optimum sowing date, appropriate seed rate, high yielding varieties, recommended fertilizer rate and recommended number of irrigations. This will improve farmers income and increase efficiency in resource use. 6- A more efficient credit system is required to enable farmers meet their requirements. 7- Supply of agricultural inputs should be at the right time and reasonable prices. 7.4 Some policy implications The major cultivated crops in the Northern State, wheat and broad beans, face production problems of low yields and inappropriate prices. This leads to low farmer's income and encourages migration from the state. The regression analysis applied in the study showed low marginal value productivities of some resources relative to their costs, while the LP analysis gave a land use that is very different from the current land use. For the improvement of such a situation the following policies will be appropriate: i- Emphasis in production should be on high value crops such as horticultural crops and some spices. This could be at the expense of wheat since productive lands in the state are rather limited. ii- The vertical expansion : The increase in land productivity require the application of the scientific research recommendations. The availability of facilities to the extension department to be more efficient and effective in imparting technical knowledge to farmers is imperative. The adoption of improved production practices by farmers is not just a question of transfer of technology, an essential prerequisite to this is securing resources and inputs to the farmers iii- In addition to impact of increase in productivity on reducing the costs referred to above, facilitation access credit for tractors and other implements will enhance competition and consequently reduce costs of agricultural of operations. 7.5 Limitations of the study and suggestion for further research : The present study formulated an optimum resource allocation cropping system according to scheme type and not according to the type of the agricultural land, although there is wide variation in soil fertility even within the same scheme. Hence the regression analysis applied in the present study gave a negative relationship between the size of the land resource and the value of the farm output. 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Journal of Rural Development and Adminstration, 29(1), 116-126, Ref. 6. Appendices Appendix 1. Gross margin (SD per feddan) of the main crops grown in Merowe locality (winter season 2003) 1.1 Wheat: Average yield ton/fed. Average price (SD/ton) Value of production Production costs: Land preparations: Land cleaning Ploughing Levelling Raising field canals and ridges = 1.23 = 61500 = 75645 = 947.6 = 4131.3 = 3021.7 = 3430.3 11530.9 Agricultural operations: Planting Irrigation Harvesting Threshing and backing Transportation = 983.3 = 14901.1 = 2653.7 = 4275.7 = 2029.8 24798.6 Inputs used Seeds Fertilizers Sacks = 4748.3 = 5462.2 = 2716.4 12926.9 Other costs Zakat Land rent = 3228.8 = 10433.6 13662.4 Total Gross margin (SD/fed.) Source: Author's survey,2003 = 62918.8 = 12726.2 1.2. Broad beans Average yield ton/fed. Average price (SD/ton) Value of production Production costs: Land preparations: Land cleaning Ploughing Levelling Raising field canals and ridges = 0.627 = 123310.52 = 77315.7 = 1383.3 = 4753.3 = 2552.7 = 3134.2 11823.5 Agricultural operations: Planting Irrigation Harvesting Threshing and backing Transportation = 2259.4 = 12912.9 = 2469.9 = 4759.1 = 966.3 23367.6 Inputs used Seeds Sacks Insecticides = 8752.5 = 1500 = 597.5 10850 Other costs Zakat Land rent = 3514.4 = 8243.9 11758.3 Total Gross margin (SD/fed.) Source: Author's survey, 2003 = 57799.4 = 19516.3 1.3. Fennel: Average yield ton/fed. = 0.231 Average price (SD/ton) = 239740 Value of production = 55380 Production costs: Land preparations: Land cleaning = 800 Ploughing = 2523.8 Levelling = 1257.2 Raising field canals and ridges = 3000 7581 Agricultural operations: Planting = 1500 Irrigation = 12236.3 Harvesting = 1400 Transportation = 1185 16321.3 Inputs used Seeds = 4516.7 Fertilizers = 4693.3 Sacks = 1792.9 11002.9 Other costs Zakat = 2769 Land rent = 7606.2 10375.2 Total = 45280.4 Gross margin (SD/fed.) = 10099.6 Source: Author's survey, 2003 1.4. Onion Average yield ton/fed. Average price (SD/ton) Value of production Production costs: Land preparations: Land cleaning Ploughing Levelling Raising field canals and ridges =8.7 = 20553.45 = 178815 = 818 = 4402.1 = 3563.4 = 5113.3 13896.8 Agricultural operations: Planting Irrigation Harvasting Transportation = 4543 = 21134.3 = 10232.9 = 8985 44895.2 Inputs used Seeds Fertilizers Insecticides Herbicides Sacks = 4900.2 = 7479.5 = 450 = 525 = 11172.5 24527.2 Other costs Zakat Land rent = 8940.8 = 16800 25740.8 Total Gross margin (SD/fed.) Source: Author's survey, 2003 = 109060 = 69755 1.5. Tomato Average yield (ton/fed. = 5.35 Average price (SD/ton) = 48933 Value of primary production = 270600 Average quantity of byproduct (ton/fed.) =0.244 Average price (SD/ton) = 252459 Value of byproduct = 61600 Total value of production = 332200 Production costs: Land preparations: Land cleaning = 2700 Ploughing = 2412.5 Levelling = 2421.6 Raising field canals and ridges = 3253.4 10787.5 Agricultural operations: Planting = 6439 Irrigation = 17100 Transportation = 46900 Inputs used Seeds = 2825.6 Fertilizers = 2818.4 Insecticides = 2065.4 7709.4 Other costs Land rent = 13000 Total = 101935.9 Gross margin (SD/fed.) = 230264.1 Source: Author's survey, 2003 Appendix 2. Gross margin (SD/fed.) of the main crops grown in Dongola locality (winter season 2003) 2.1. Wheat: Average yield ton/fed. Average price (SD/ton) Value of production Production costs: Land preparations: Land cleaning Ploughing Levelling Raising field canals and ridges = 0.850 = 61000 = 51850 = 557.3 = 3261.3 = 2702.2 = 1235.7 7756.5 Agricultural operations: Planting Irrigation Harvesting Threshing and backing Transportation = 510.8 = 9958.1 = 2951.1 = 2394.8 = 850 16664.8 Inputs used Seeds Fertilizers Sacks = 5234.3 = 5866.5 = 2136 13236.8 Other costs Zakat Land rent = 2440 = 7212.2 9652.2 Total Gross margin (SD/fed.) Source: Author's survey, 2003 = 47310.3 = 4539.7 2.2. Broad beans Average yield ton/fed. Average price (SD/ton) Value of production Production costs: Land preparations: Land cleaning Ploughing Levelling Raising field canals and ridges = 0.731 = 124543 = 91041 = 2115.3 = 3238.8 = 2528.6 = 1571.9 9454.6 Agricultural operations: Planting Irrigation Harvasting Threshing and backing Transportation = 2122.2 = 9103.9 = 2582.3 = 3682.5 = 826.6 18317.5 Inputs used Seeds Fertilizers Sacks = 11099.5 = 141.7 = 1893.7 13134.9 Other costs Zakat Land rent = 4552 = 10915.3 15467.3 Total Gross margin (SD/fed.) Source: Author's survey, 2003 = 56374.3 = 34666.7 2.3. Fennel Average yield tom/fed. = 0.338 Average price (SD/ton ) = 12350 Value of production = 277692.3 Production costs: Land preparations: Land cleaning = 2458.3 Ploughing = 2450 Levelling = 3616.7 Raising field canals and ridges = 1000 9525 Agricultural operations: Planting = 2000 Irrigation = 9028.5 Harvesting = 4200 Transportation = 1163.3 16391.8 Inputs used Seeds = 3416.7 Fertilizers = 4782.2 Sacks = 1583 9781.9 Other costs Zakat = 4693 Land rent = 7821.7 12514.7 Total = 48213.4 Gross margin (SD/fed.) = 45646.6 Source: Author's survey, 2003 2.4. Garlic Average yield ton/fed. = 1.636 Average price (SD/ton) = 77603.91 Value of production = 126960 Production costs: Land preparations: Land cleaning = 1062.5 Ploughing = 3325 Levelling = 3612.5 Raising field canals and ridges = 1665 9665 Agricultural operations: Planting = 1000 Irrigation = 13849 Harvesting = 2811 Transportation = 2400 20060 Inputs used Seeds = 17822.2 Fertilizers = 8822 Sacks = 5055 31699.2 Other costs Zakat = 6969 Land rent = 11541.8 18510.8 Total = 79935 Gross margin (SD/fed.) = 47025 Source: Author's survey, 2003 2.5. Zea maize Average yield ton/fed. = 1.500 Average price (SD/ton) = 40000 Value of production = 60000 Production costs: Land preparations: Land cleaning = 2000 Ploughing = 4500 Levelling = 3000 Raising field canals and ridges = 2000 11500 Agricultural operations: Planting = 1500 Irrigation = 7440 Harvesting = 2500 Threshing and backing = 2000 Transportation = 1500 14940 Inputs used Seeds = 4000 Sacks = 3750 7750 Other costs Zakat = 3000 Land rent = 8053.3 11053 Total = 45243.3 Gross margin (SD/fed.) = 14756.7 Source: Author's survey,2003 Π ﻣﻠﺤﻖ رﻗﻢ 3: اﺳﺘﻤﺎرة اﺳﺘﺒﻴﺎن اﻟﻤﺰارﻋﻴﻦ ﺍﻟﻤﺤﻠﻴﺔ .………………………………:ﺍﻟﻘﺭﻴﺔ ..…………………: ﺍﻻﺴﻡ .…………………………………:ﺍﻟﻌﻤﺭ ..…………………: ﻤﺴﺘﻭﻱ ﺍﻟﺘﻌﻠﻴﻡ .……… :ﺍﻟﺤﺎﻟﺔ ﺍﻻﺠﺘﻤﺎﻋﻴﺔ …… ..ﻋﺩﺩ ﺍﻓﺭﺍﺩ ﺍﻻﺴﺭﺓ…….. ﺍﻓﺭﺍﺩ ﺍﻻﺴﺭﺓ ……………………………………………………… : اﻟﻨﻮع اﻻﺳﻢ اﻟﻌﻤﺮ ﺻﻠﺔ اﻟﻘﺮاﺑﺔ ﺳﺎﻋﺎت اﻟﻌﻤﻞ اﻟﻤﺰرﻋﻲ اﻟﻮﻇﻴﻔﺔ ﺍﻟﺤﻴﺎﺯﺓ ﺍﻟﻜﻠﻴﺔ …………… .ﻤﻠﻙ ﺤﺭ …………… ﻤﻴﺭﻱ ……………. ﺍﺨﺭﻱ ) ﺤﺩﺩ( ﺍﻟﻤﺴﺎﺤﺔ ﺍﻟﻜﻠﻴﺔ ﺍﻟﻤﺯﺭﻭﻋﺔ ﻓﻲ ﺍﻟﻤﻭﺴﻡ ﺍﻟﺼﻴﻔﻲ ……………………………: ﺍﻟﻤﺴﺎﺤﺔ ﺍﻟﻜﻠﻴﺔ ﺍﻟﻤﺯﺭﻭﻋﺔ ﻓﻲ ﺍﻟﻤﻭﺴﻡ ﺍﻟﺸﺘﻭﻱ ……………………………: ﻤﺴﺎﺤﺔ ﺍﻟﻤﺤﺎﺼﻴل ﺍﻟﻤﺴﺘﺩﻴﻤﺔ ) ﺍﻟﺠﻨﺎﻴﻥ ( ..………………………………: ﻧﻈﺎم اﻟﻤﺸﺮوع -: ﺨﺎﺹ ) ( ،ﺸﺭﻜﺔ ) ( ،ﺘﻌﺎﻭﻨﻲ ) ( ،ﺍﺨﺭﻱ ) ﺤﺩﺩ ( ﻤﻼﺤﻅﺎﺕ ..……………………………………………………… : ﻣﺼﺪر اﻟﺮي -: ﺍﻟﻨﻴل ) ( ،ﻤﻴﺎﻩ ﺠﻭﻓﻴﺔ) ( ،ﺍﻟﻨﻴل +ﻤﻴﺎﻩ ﺠﻭﻓﻴﺔ ) ( اﻟﻤﺤﺎﺻﻴﻞ اﻟﻤﺰروﻋﺔ -: اﻟﻤﻮﺳﻢ اﻟﺼﻴﻔﻲ -: . اﻟﻤﺤﺼﻮل اﻟﻤﺴﺎﺣﺔ اﻻﻧﺘﺎج اﻟﻜﻤﻴﺔ اﻟﻤﺒﺎﻋﺔ اﻟﻤﺤﺼﻮل اﻟﻤﺴﺎﺣﺔ اﻹﻧﺘﺎج اﻟﻜﻤﻴﺔ اﻟﻤﺒﺎﻋﺔ اﻟﺘﺎرﻳﺦ ﺳﻌﺮ اﻟﻮﺣﺪة ﻣﺤﺎﺻﻴﻞ ﻣﺴﺘﺪﻳﻤﺔ -: اﻟﺘﺎرﻳﺦ ﺳﻌﺮ اﻟﻮﺣﺪة اﻟﺜﺮوة اﻟﺤﻴﻮاﻧﻴﺔ -: ﺍﻟﻌﺩﺩ ﺍﻟﻨﻭﻉ ﺍﻟﻌﺩﺩ ﺍﻟﻤﺒﺎﻉ ﺘﺎﺭﻴﺦ ﺍﻟﺒﻴﻊ ﺴﻌﺭ ﺍﻟﻭﺤﺩﺓ ﺍﺒﻘﺎﺭ .…………………………………………………………… : ﺠﻤﺎل .……………………………………………………………: ﺤﻤﻴﺭ .……………………………………………………………: ﻀﺄﻥ .……………………………………………………………: ﻤﺎﻋﺯ...……………………………………………………………: ﺩﻭﺍﺠﻥ ……………………………………………………………: اﻵﻻت اﻟﺘﻲ ﻳﻤﺘﻠﻜﻬﺎ اﻟﻤﺰارع -: اﻟﻘﻴﻤــﺔ اﻵﻟﺔ ﺳﻌﺮ اﻟﺒﻴﻊ ) ﻓﻲ ﺣﺎﻟﺔ اﻟﺒﻴﻊ ( ﺍﻟﻤﻬﻥ ﻏﻴﺭ ﺍﻟﺯﺭﺍﻋﻴﺔ ……………… ..ﺍﻟﺩﺨل ﺍﻟﺸﻬﺭﻱ ………………… ﻤﻼﺤﻅﺎﺕ …………………………………………………………: اﻟﺘﺤﻮﻳﻼت ﻣﻦ اﻟﺨﺎرج -: اﻟﻤﺒﻠﻎ اﻟﺘﺎرﻳﺦ ﺍﻟﻤﺒـــﺎﻟﻎ ﻟـــﺩﻱ ﺍﻟﻤـــﺯﺍﺭﻉ ﻗﺒـــل ﺒﺩﺍﻴـــﺔ ﺍﻟﻤﻭﺴـــﻡ ﺍﻟـــﺸﺘﻭﻱ .…………………………………: اﻟﺴﻠﻔﻴﺎت -: اﻟﻤﺼﺪر اﻟﻘﻴﻤﺔ ﺗﺎرﻳﺦ اﺳﺘﻼم اﻟﺴﻠﻔﻴﺔ ﺗﺎرﻳﺦ اﻟﺴﺪاد ﺍﻨﻔﺎﻕ ﺍﻻﺴﺭﺓ ﺍﻟﺸﻬﺭﻱ ﻋﻠﻲ ﺍﻟﺴﻠﻊ ﺍﻻﺴﺘﻬﻼﻜﻴﺔ ……………………………: ﻋﻼﻗﺎت اﻻﻧﺘﺎج -: ﻤﺴﺌﻭﻟﻴﺔ ﺼﺎﺤﺏ ﺍﻟﻤﺸﺭﻭﻉ ……………………………………………: ﻤﺴﺌﻭﻟﻴﺔ ﺍﻟﻤﺯﺍﺭﻉ ……………………………………………………: ﻨﺼﻴﺏ ﺼﺎﺤﺏ ﺍﻟﻤﺸﺭﻭﻉ ………… ..ﻨﺼﻴﻑ ﺍﻟﻤـﺯﺍﺭﻉ ……… ..ﻨـﺼﻴﺏ ﺼﺎﺤﺏ ﺍﻻﺭﺽ ………………………….. ﺍﻟﻤﺸﺎﻜل ﺍﻟﺘﻲ ﺘﻭﺍﺠﻪ ﺍﻟﻤﺯﺍﺭﻉ ..……………………………………… : ………………………………………………………………….. ﻤﻘﺘﺭﺤﺎﺕ ﺍﻟﺤﻠﻭل ……………………………………………………: ………………………………………………………………….. ﺗﻜﺎﻟﻴﻒ اﻻﻧﺘﺎج ﻟﻠﻤﻮﺳﻢ اﻟﺸﺘﻮي -: ﺍﺴﻡ ﺍﻟﻤﺤﺼﻭل …………………:ﺍﻟﻤﺴﺎﺤﺔ ﺍﻟﻤﺯﺭﻭﻋﺔ ..……………… : ﺗﻜﺎﻟﻴﻒ ﺗﺤﻀﻴﺮ اﻻرض -: اﻟﺘﺎرﻳﺦ اﻟﻌﻤﻠﻴﺎت اﻟﺰﻣﻦ اﻟﻄﺮﻳﻘﺔ ﻋﻤﺎل ﻋﺎﺋﻠﺔ اﻟﻤﺼﺪر اﻟﺘﻜﻠﻔﺔ ﻋﻤﺎل اﺟﺮة ﻧﻈﺎﻓﺔ اﻻرض ﺍﻟﺤﺭﺍﺜﺔ ﺍﻻﻭﻟﻲ ﺍﻟﺤﺭﺍﺜﺔ ﺍﻟﺜﺎﻨﻴﺔ ﺍﻟﺘﺴﻁﻴﺢ ﺍﻻﻭل ﺍﻟﺘﺴﻁﻴﺢ ﺍﻟﺜﺎﻨﻲ ﻋﻤل ﺍﻟﺠﺩﺍﻭل ﻭﺍﻟﺘﻜﺎﻨﺩ ﻋﻤل ﺍﻟﺴﺭﺍﺒﺎﺕ ﻣﻼﺣﻈﺎت …………………………………………………………: اﻟﻌﻤﻠﻴﺎت اﻟﺰراﻋﻴﺔ -: اﻟﻌﻤﻠﻴﺎت اﻟﺰراﻋﻴﺔ اﻟﺘﺎرﻳﺦ اﻟﻄﺮﻳﻘﺔ اﻟﺰﻣﻦ ﻋﻤﺎل ﻋﺎﺋﻠﺔ اﻟﺘﻜﻠﻔﺔ ﻋﻤﺎل اﺟﺮة ﺍﻟﺯﺭﺍﻋﺔ ﺍﻟﺭﻗﺎﻋﺔ ﺍﺯﺍﻟﺔ ﺍﻟﺤﺸﺎﺌﺵ )(1 ﺍﺯﺍﻟﺔ ﺍﻟﺤﺸﺎﺌﺵ )(2 ﺍﺯﺍﻟﺔ ﺍﻟﺤﺸﺎﺌﺵ )(3 ﻤﻼﺤﻅﺎﺕ ..……………………………………………………… : ﻣﺮات اﻟﺮي ﺍﻻﻭﻟﻲ ﺍﻟﺜﺎﻨﻴﺔ ﺍﻟﺜﺎﻟﺜﺔ ﺍﻟﺭﺍﺒﻌﺔ ﺍﻟﺨﺎﻤﺴﺔ ﺍﻟﺴﺎﺩﺴﺔ ﺍﻟﺴﺎﺒﻌﺔ ﺍﻟﺜﺎﻤﻨﺔ اﻟﺘﺎرﻳﺦ اﻟﺰﻣﻦ ﻋﻤﺎل ﻋﺎﺋﻠﺔ ﻋﻤﺎل اﺟﺮة ﻤﻼﺤﻅﺎﺕ ……………………………………………………… : اﻟﺘﻜﻠﻔﺔ ﻣﺪﺧﻼت اﻻﻧﺘﺎج -: اﻟﻌﻨﺼﺮ اﻟﻨﻮع اﻟﻜﻤﻴﺔ اﻟﻤﺼﺪر اﻟﺘﻜﻠﻔﺔ ﺍﻟﺒﺫﻭﺭ ﺍﻟﺴﻤﺎﺩ ﺍﻟﻤﺒﻴﺩﺍﺕ ﺍﻟﺨﻴﺵ ﻣﻼﺣﻈﺎت …………………………………………………………: اﻟﺤﺼﺎد -: ﻋﻤﻠﻴﺎت اﻟﺤﺼﺎد اﻟﺘﺎرﻳﺦ اﻟﺰﻣﻦ اﻟﻄﺮﻳﻘﺔ ﻋﻤﺎل ﻋﺎﺋﻠﺔ ﻋﻤﺎل اﺟﺮة اﻟﺘﻜﻠﻔﺔ ﺍﻟﻘﻁﻊ ﺍﻟﺠﻤﻊ ﺍﻟﺩﻕ ﺍﻟﺘﻀﺭﻴﺔ ﺍﻟﺘﻌﺒﺌﺔ ﺍﻟﺘﺭﺤﻴل ﻤﻼﺤﻅﺎﺕ …………………………………………………………: ﺘﻜﺎﻟﻴﻑ ﺍﺨﺭﻱ :ﺍﻟﻀﺭﺍﺌﺏ ………………… ..ﺍﻟﺯﻜﺎﺓ …………………: ﺍﻻﻨﺘﺎﺝ ﺍﻟﻜﻠﻲ ﻤﻥ ﺍﻟﻤﺤﺼﻭل ……………… ..ﺍﺴﺘﻬﻼﻙ ﺍﻻﺴﺭﺓ ………….. ﺒﺫﻭﺭ ﻤﺤﻔﻭﻅﺔ ﻟﻠﻤﻭﺴﻡ ﺍﻟﻘﺎﺩﻡ ……………… ..ﺍﻟﻜﻤﻴﺔ ﺍﻟﻤﻭﺯﻋﺔ ﻟﻼﺨﺭﻴﻥ ….. ﺍﻟﻜﻤﻴﺔ ﺍﻟﻤﺨﺯﻨﺔ ………………………… .ﺍﻟﻜﻤﻴﺔ ﺍﻟﻤﺒﺎﻋﺔ ……………. ﺴﻌﺭ ﺍﻟﻭﺤﺩﺓ ………………………… .ﻤﻜﺎﻥ ﺍﻟﺒﻴﻊ ………………. ﻓﺘﺭﺓ ﺍﻟﺘﺨﺯﻴﻥ……………………………..ﺘﻜﻠﻔﺔ ﺍﻟﺘﺨﺯﻴﻥ …………….. ﻤﻼﺤﻅﺎﺕ …………………………………………………………: ﻣﻠﺤﻖ رﻗﻢ 4 : اﺳﺘﻤﺎرة اﺳﺘﺒﻴﺎن اﺻﺤﺎب اﻟﻤﺸﺎرﻳﻊ ﺍﻟﻤﺤﻠﻴﺔ .………………………………:ﺍﻟﻘﺭﻴﺔ ..…………………: ﺍﻻﺴﻡ…………………… .ﺍﻟﻌﻤﺭ .. …………:ﻤﺴﺘﻭﻱ .……………: ﻨﻅﺎﻡ ﺍﻟﻤﻠﻜﻴﺔ :ﻤﻠﻙ ﺤﺭ ) ﻨﻭﻉ ﺍﻟﻤﺸﺭﻭﻉ :ﺨﺎﺹ ) ﻤﺼﺩﺭ ﺍﻟﺭﻱ -: ﺍﻟﻨﻴل ) ( ،ﻤﻴﺎﻩ ﺠﻭﻓﻴﺔ ) ( ﻤﻴﺭﻱ ) ( ﺘﻌﺎﻭﻨﻲ ) ( ﺤﻜﻭﻤﻲ ) ( ﺍﺨﺭﻱ ) ﺤﺩﺩ ( ( ﺸﺭﻜﺔ ) ( ،ﺍﻟﻨﻴل +ﻤﻴﺎﻩ ﺠﻭﻓﻴﺔ ) ( ( ﻤﺴﺎﺤﺔ ﺍﻟﻤﺸﺭﻭﻉ …………… ﻋﺩﺩ ﺍﻟﻤﺯﺍﺭﻋﻴﻥ ﻓﻲ ﺍﻟﻤﺸﺭﻭﻉ ……………. ﻤﻼﺤﻅﺎﺕ …………………………………………………………: ﻨﻭﻉ ﺍﻟﻁﻠﻤﺒﺔ ………………………:ﺤﺠﻡ ﺍﻟﻁﻠﻤﺒﺔ .…………………: ﺍﻟﻌﻤﺭ ﺍﻻﻓﺘﺭﺍﻀﻲ ﻟﻠﻁﻠﻤﺒﺔ .…………:ﺍﻟﻌﻤﺭ ﺍﻟﺤﺎﻟﻲ ﻟﻠﻁﻠﻤﺒﺔ .……………: ﺴﻌﺭ ﺸﺭﺍﺀ ﺍﻟﻁﻠﻤﺒﺔ ﻤﻥ ﺍﻟﺒﻨﻙ …… ..……..ﻤﻥ ﺍﻟﺴﻭﻕ …………………: ﻋﺩﺩ ﺴﺎﻋﺎﺕ ﻋﻤل ﺍﻟﻁﻠﻤﺒﺔ ﻓﻲ ﺍﻟﻴﻭﻡ ﻓﻲ ﺍﻟﻤﻭﺴﻡ ﺍﻟﺸﺘﻭﻱ . ﻋﺩﺩ ﺴﺎﻋﺎﺕ ﻋﻤل ﺍﻟﻁﻠﻤﺒﺔ ﻓﻲ ﺍﻟﻴﻭﻡ ﻓﻲ ﺍﻟﻤﻭﺴﻡ ﺍﻟﺼﻴﻔﻲ ﻋﺩﺩ ﺍﻟﺴﺎﻋﺎﺕ ﺍﻟﺘﻲ ﻴﻤﻜﻥ ﺘﺸﻐﻴﻠﻬﺎ ﺒﺎﻟﺠﺎﻟﻭﻥ ﺍﻟﻭﺍﺤﺩ . ﻋﺩﺩ ﺍﻟﺴﺎﻋﺎﺕ ﺍﻟﻤﻁﻠﻭﺒﺔ ﺘﺸﻐﻴﻠﻬﺎ ﻟﺭﻴﻪ ﻭﺍﺤﺩﺓ ﻟﻠﻔﺩﺍﻥ ﻋﺩﺩ ﺍﻻﻓﺩﻨﺔ ﺍﻟﺘﻲ ﻴﻤﻜﻥ ﺭﻴﻬﺎ ﻓﻲ ﺍﻟﻴﻭﻡ . ﻜﻤﻴﺔ ﺍﻟﻭﻗﻭﺩ ﺍﻟﻤﺴﺘﻬﻠﻙ ﻓﻲ ﺍﻟﻤﻭﺴﻡ ﺍﻟﺸﺘﻭﻱ ﺍﻟﻤﺼﺩﺭ …………………… ..ﺍﻟﺴﻌﺭ ……………………………. ﻜﻤﻴﺔ ﺍﻟﺯﻴﺕ ﺍﻟﻤﺴﺘﻬﻠﻙ ﻓﻲ ﺍﻟﻤﻭﺴﻡ ﺍﻟﺸﺘﻭﻱ . ﺍﻟﻤﺼﺩﺭ …………………… ..ﺍﻟﺴﻌﺭ ……………………………. ﺘﻜﺎﻟﻴﻑ ﺍﻟﺼﻴﺎﻨﺔ ﻟﻠﻤﻭﺴﻡ ﺍﻟﺸﺘﻭﻱ ……… ﺘﻜﺎﻟﻴﻑ ﺘﺸﻐﻴل ﺍﻟﻁﻠﻤﺒﺔ …………. ﻤﻼﺤﻅﺎﺕ .……………………………………………………… : ﻋﻼﻗﺎت اﻻﻧﺘﺎج -: ﻤﺴﺌﻭﻟﻴﺔ ﺼﺎﺤﺏ ﺍﻟﻤﺸﺭﻭﻉ ﻤﺴﺌﻭﻟﻴﺔ ﺍﻟﻤﺯﺍﺭﻉ ﻗﺴﻤﺔ ﺍﻻﻨﺘﺎﺝ :ﻨﺼﻴﺏ ﺼﺎﺤﺏ ﺍﻟﻤﺸﺭﻭﻉ … .……..ﻨﺼﻴﻑ ﺍﻟﻤﺯﺍﺭﻉ ……… ﺍﻟﻤﺸﺎﻜل ﻭﺍﻟﻤﻘﺘﺭﺤﺎﺕ ………………………… ..………………… .
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