i 3 1293 01046 8316 LIBRARY Michigan State in minimumMn um m Unlverslty This is to certify that the dissertation entitled The Role of Dimba Land and Small Scale Irrigation in Smallholder Farmers' Food Security in Malawi: An Application of Safety First Chance-Constrained Target Motad Mathematical Programming presented by Naomi Aretha Ngwira has been accepted towards fulfillment of the requirements for Ph . D . degree in Agricultural Economics M4 72/35; Major professor Date November 11, 1994 MS U is an Affirmative Action/Equal Opportunity Institution 0- 12771 PLACE ll REI’UMI Boxwmwofltbchoekomflomyumd. TOAVOID FINES Munonorbdorodatoduo. DATE DUE DATE DUE DATE DUE MSU I. An Animativo Action/Ema! Opponmily Inflation Wanna-m .‘ , W ""44 A /- ,1?""; f ' " ‘ i "« "1.5"",‘h‘4l' "11?";3 (Ml . f I "‘¢u4r+ ,1; ‘ "mu ‘.Q' I d .g.p THE RC 5m AV A] THE ROLE OF DIMBA LAND AND SMALL SCALE IRRIGATION IN SMALLHOLDER FARMERS’ FOOD SECURITY IN MALAWI: AN APPLICATION OF SAFETY FIRST CHANCE-CONSTRAINED TARGET MOTAD MATHEMATICAL PROGRAMMING By NAOMI ARETHA NGWIRA A DISSERTATION Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Agricultural Economics 1994 erIEEI § 5. ABSTRACT THE ROLE OF DIMBA LAND AND SMALL SCALE IRRIGATION IN SMALLHOLDER FARMERS’ FOOD SECURITY IN MALAWI: AN APPLICATION OF SAFETY FIRST CHANCE-CONSTRAINED TARGET MOTAD MATHEMATICAL PROGRAMMING By Naomi Aretha N gwira The potential of intensive dimba (flood recession) land cultivation and small scale irrigation to improve smallholder farmers’ food security is investigated. The objectives are to: 1) estimate the current contribution of dimba crops and potential contribution of irrigated crops to household food security; 2) identify technically feasible crop/irrigation technology packages for increasing crop production; and 3) select those that can contribute most to food security. Smallholder farmers make up 80% of Malawi’s population. The majority are food insecure owing to low productivity agriculture. Yet adoption of intensive cultivation has been constrained by limited access to inputs and yield risk due to erratic rainfall. Cultivation on dimba (flood recession) and irrigated land may offer a solution. A survey of smallholder farmers was conducted in Chiradzulu North Extension Planning Area of Blantyre Agricultural Development Division. The data collected are used to implement a Target MOTAD programming model to select optimal crop activities. It uses Telser’s safety first criterion to model risk avoidance behavior. Current, intensive and irrigated crop production practices are analyzed for small (0.7 hectares), medium (> 0.7 to 1.49 hectares) and large farms (> 1.49 hectares). Sensitivity analysis is done for alternative output prices, costs and crop yields. Results show that dimba land and irrigation can contribute from 30% to 80% of total income depending on farm size and crop production practices. With current cropping practices, only large farms can achieve minimum cereal consumption requirements in 75 % of cropping seasons. Even these larger farms need intensive dimba cultivation or irrigation to generate incomes that meet subsistence requirements in 75 % of cropping seasons. Small farms can produce cereal consumption requirements in 75 % of the cropping seasons only when irrigation is used for cereals; they can achieve subsistence income requirements only when horticultural crops are irrigated. When farmers use an income safety-first strategy, stable incomes from intensive dimba cultivation or irrigation of horticultural crops can make it optimal to adopt maize fertilization or hybrids on rainfed land. Intensive dimba cultivation and small scale irrigation require credit and extension programs to encourage crop diversification. Small farms with no dimba can benefit from programs for cereal irrigation, as well as horticultural crops, where markets for the latter exist. Copyright by NAOMI ARETHA NGWIRA 1994 "Since the rains have been insufficient, the people will now concentrate on cultivating on moist areas along the dambos and rivers." Louis Chimango, M. P., Minister of Finance, Daily Times, March 16, 1992. DEDICATION To my dear husband Chimwemwe who provided the support I needed to pursue my doctoral studies. vi ACKNOWLEDGEMENTS I wish to acknowledge with gratitude the contributions made by members of my dissertation and guidance committee, Dr. James Shaffer, Dr. Michael Weber, Dr. Ann Ferguson and Dr. Scott Swinton. A special word of thanks goes to Dr. Swinton for ably advising and encouraging me through all the stages of preparing the dissertation. vii CHAP Glam TABLE OF CONTENTS LIST OF TABLES ............................................. xii LIST OF APPENDIX TABLES ..................................... xvi LIST OF FIGURES ............................................ xix CHAPTER 1: INTRODUCTION ..................................... 1 1.1 The Concept of Household Food Security ........................ 1 1.2 Food Security Among Smallholder Farmers in Malawi ................ 2 1.3 Objectives of the Study .................................... 4 1.4 Need for the Study ...................................... 4 1.5 Related Research ........................................ 6 1.6 Organization of the Study ................................. 10 CHAPTER 2: AGRICULTURE AND IRRIGATION POLICIES IN MALAWI ...... 11 2.1 Macro-Economic Performance .............................. 11 2.2 Agricultural Development Policy ............................ 14 2.2.1 The Estate Sector of Agriculture ....................... 14 2.2.2 The Smallholder Sector of Agriculture ................... 16 2.3 Irrigation Potential in Malawi ............................... 19 2.3.1 Hydrological Resources ............................ 19 2.3.2 Irrigation Policies ................................ 21 2.4 Implementation of Irrigation Projects .......................... 25 2.5 Summary ........................................... 28 CHAPTER 3: ANALYTICAL METHOD .............................. 29 3.1 Smallholder Farmer Objectives .............................. 29 3.2 Decision Making Under Uncertainty ........................... 31 3.2.1. Risk and Uncertainty ............................. 31 3.2.2. Models of Risk Analysis in Agriculture .................. 32 3.2.1.1 Direct Expected Utility Maximization ............. 35 3.2.1.2 Mean-Variance Analysis ...................... 39 3.2.1.3 Mean-Semivariance (Lower Partial Moments) ..... A. . . 40 3.2.1.4 Stochastic Dominance ....................... 41 3.2.1.5 Minimization of Total Absolute Deviations (MOTAD) . . 42 3.2.1.6 Target Minimization of Total Absolute Deviations ..... 44 3.2.1.7 The Safety First Approach .................... 45 3.3 Telser’s Safety First Probablistic Criterion in Target MOTAD .......... 47 3.4 Conclusion .......................................... 49 viii CHAPTER 4: DATA COLLECTION ................................. 50 4.1 Selection of Study Area .................................. 50 4.2 Sampling ............................................ 50 4.3 The Questionnaires ..................................... 51 4.4 Preparation for the Survey ................................. 52 4.5 The Survey .......................................... 53 4.6 Secondary Data Collection ................................. 53 4.7 Summary ........................................... 54 CHAPTER 5: CHARACTERISTICS OF SURVEY HOUSEHOLDS ............. 55 5.1. Household Characteristics ................................. 55 5.1.1 Social and Demographic Characteristics .................. 55 5.1.2 Size and Distribution of Land Holdings .................. 55 5.2 Farm Characteristics .................................... 58 5.2.1 Cropping Patterns ................................ 58 5.2.2 Estimating Yields ................................ 61 5.2.3 Family Labor Available and Use ....................... 61 5.2.4 Production Expenses .............................. 68 5.2.4.1. Hired Labor Expenses ...................... 68 5.2.4.2 Fertilizer Expenses ......................... 68 5.2.4.3 Pesticides Expenses ........................ 73 5.3. Income Generating Activities and Off—Own Farm Employment .......... 73 5.4 Maize Production and Food Security .......................... 76 5.4.1 Maize Harvests ................................. 76 5.4.2 Food Security and Income Strategies .................... 78 5.5 Farmers’ Willingness to Use Irrigation ......................... 79 5.6 Summary ........................................... 80 CHAPTER 6: ENTERPRISE BUDGETS AND FORMULATION OF THE TARGET MOTAD MODEL ........................................ 82 6.1 Enterprise Budgets ...................................... 82 6.1.1. Estimating Yields ............................... 83 6.1.1.1 Current Crop Enterprises ..................... 83 6.1.1.2 Intensive Crop Enterprises .................... 84 6.1.1.3 Irrigated Crop Enterprises .................... 85 6.1.2 Valuing Yields and Inputs ........................... 86 6.1.3 Variable Costs .................................. 87 6.1.3.1 Seeds ................................. 87 6.1.3.2 Fertilizer and Chemicals Applied to Crops .......... 87 6.1.3.3 Repairs and Maintenance ..................... 88 6.1.4 Labor Use and Costs .............................. 88 6.1.4.1 Family Labor ......................... -. .. 88 6.1.4.2 Hired Labor ............................. 89 6.1.4.3 Marketing Costs ........................... 89 6.1.5. Irrigation Costs ................................ 90 6.2 Formulation of the Mathematical Programming Model ............... 91 6.2.1 The Objective Function ............................ 92 6.2.2 Activities in the Model ............................. 92 ix 6.2.2.1 Crop Production Activities .................... 93 6.2.2.2 Labor Hiring Activities ...................... 93 6.2.2.3 Labor Selling Activities ..................... 93 6.2.2.4 Crop Selling Activities ....................... 94 6.2.2.5 Deviations and Chance Counters ................ 94 6.2.3 Constraints .................................... 94 6.2.3.1 Family Labor ............................ 95 6.2.3.2 Land .................................. 95 6.2.3.3. Accounting Rows ........................ 106 6.2.3.4 Deviation and Chance Constraint Rows ........... 106 6 3 Summary .......................................... 107 CHAPTER 7: MODEL I - CURRENT CROPPING PRACTICES .............. 108 7.1 Base Solutions ....................................... 111 7.1.1 Maize Production Approach and the Non-risk Constrained Solutions 111 7.1.1.1 Activities in the Solutions ................... 111 7.1.1.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises ............................. 1 16 7.1.2 Safety First Solutions ............................. 119 7.1.2.1 Activities in the Solutions .................... 119 7.1.2.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises ............................. 120 7.1.2.3 Contribution of Dimba Crops to Income .......... 121 7.1.2.4 Maximum Feasible Maize Production ............ 121 7.2 Sensitivity Analysis .................................... 121 7.2.1 The Non-risk Constrained Solution .................... 124 7.2.1.1 Activities in Solutions ..................... 124 7.2.1.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises ............................. 124 7.2.1.3 Contribution of Dimba Crops to Income ........... 125 7.2.2 Safety First Solutions ............................. 126 7.2.2.1 Activities in Solutions at the 0.25 Probability Limit . . . 126 7.2.2.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises ............................. 126 7.2.2.3 The Contribution of Dimba Crops to Income ........ 126 7.3 Lessons from Model I .................................. 126 7.4 Validating the Model ................................... 128 CHAPTER 8: MODEL II - CURRENT AND INTENSIVE CROPPING PRACTICES . 130 8.1.1 Non-Risk Constrained Solutions and the Maize Production Approach] 30 8.1.1.1 Activities in Solutions ...................... 130 8.1.1.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises ........................... -. . 135 8.1.1.3 Contribution of Dimba Crops to Income ........... 136 8.1.1.4 Maximum Feasible Maize Production ............ 137 8.1.2 Safety First Solutions ............................. 138 8.1.2.1 Activities in the Solutions .................... 138 8.1.2.2. Shadow Prices, Stability of Solutions and Competitiveness of Enterprises ............................. 138 8.1.2.3 Contribution of Dimba Crops to Total Income ...... 139 8.1.2.4 The Maximum Feasible Maize Production ......... 139 8.3 Lessons from Model 11 .................................. 139 CHAPTER 9: MODEL 111 - CURRENT, INTENSIVE AND IRRIGATED CROPPIN G PRACTICES ................................... 141 9.1 Base Solutions ....................................... 141 9.1.1 Model III(a): Irrigated Vegetables .................... 141 9.1.1.1. Activities in Solutions ..................... 141 9.1.1.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises ............................. 142 9.1.1.3 Contribution of Irrigated Crops to Total Income ...... 147 9.1.1.4 Maximum Feasible Maize Production ............ 148 9.1.2 Sensitivity Analysis for Model III(a) ................... 148 9.1.2.1 Sensitivity to Changes in Cost of Irrigation ......... 148 9.1.2.2 Sensitivity to Changes in Prices of Output (With Sprinkler Irrigation) .............................. 149 9.1.2.3 Sensitivity to Changes in Wages ................ 150 9.1.3 Model III(b): Irrigation of Cereals .................... 150 9.1.3.1. Activities in Solution ...................... 151 9.1.3.2. Shadow Prices, Price Stability and Competitiveness of Solutions .............................. 151 9.2 Lessons from Model 111 ................................. 152 CHAPTER 10: SUMMARY, CONCLUSIONS AND RECOMMENDATIONS ...... 154 10.1 Summary of Objectives and Research Methodology ............... 154 10.2 Summary of Farm Survey Results .......................... 155 10.3 Summary of Mathematical Programming Results ................. 156 10.3.1 Cropping Activities ............................. 156 10.3.2. Expected Income and Contribution of Dimba Crops to Total Incomd57 10.3.2.1. Current Cropping Practices ................. 157 10.3.2.2 Intensive Cropping Practices ................. 159 10.3.2.3 Irrigated Crop Practices .................... 159 10.3.4. Shadow Prices of Resources and Constraints ............. 162 10.3.5. Maximum Feasible Maize Production ................. 162 10.4. Lessons from Analysis of Programming Results ................. 162 10.5 Recommendations for Dimba Cultivation and Irrigation ............. 164 10.6 Recommendations for Future Research ....................... 165 APPENDIX A .............................................. 167 APPENDIX B .............................................. 208 BIBLIOGRAPHY ............................................ 223 xi Table lrriga: Table A Sim Table Socio- Table 82: .1 Table Mesa 1 Table M1351 ] Table Yields Table Yields Table Table Famil} Table Comp, Table [Sc 0‘ I Table . Hired Table , LIST OF TABLES Table 2.1 Principal Domestic Export Commodities 1992 ............................ 12 Table 2.2 Irrigation Development (Hectares) ................................... 23 Table 3.1 A Simple Linear Programming Table ................................. 34 Table 5.1 Socio-Economic Characteristics of Households by Size of Landholding ............ 56 Table 5.2 Size (Hectares) and Distribution of Land Holdings of Households ................ 57 Table 5.3 Most Dominant Crop Mixtures ..................................... 59 Table 5.4 Most Important Enterprises by Area (Hectares) Covered ...................... 60 Table 5.5 Yields of Rainfed Crops Enterprises (kg/ha) ............................. 63 Table 5.6 Yields of Dimba Crop Enterprises (kg/ha) .............................. 64 Table 5.7 Comparing Local Variety Maize Yields Mean kg per ha) with Other Reports ........ 65 Table 5.8 Family Labor Allocated to Crop Enterprises (Median Person-hours) .............. 66 Table 5.9 Comparison of Labor Allocation to Maize/Beans Crop Mixture (Person-hours) ....... 67 Table 5.10 Use of Hired Labor (Person-hours) by Enterprise by Crop Production Activity ....... 70 Table 5.11 Hired Labor (Person-hours) by Crop Enterprise ........................... 71 Table 5.12 Use of Fertilizer kg/ha by Crop Enterprise and Size of Farm ................... 72 xii Table 5.13 Main Occupation of Household Heads ................................. 75 Table 5.14 Proportion of Farm Households Engaged in Non-Farm Work by Farm Size ......... 75 Table 5.15 Mean Rainfed Maize Harvests (Kilograms) by Size of Farm in 1989 - 1992 ......... 77 Table 5.16 Mean Harvests of Fertilized and Unfertilized Maize (Kilograms) ................ 77 by Size of Farm in 1991/92 Table 5.17 Food Security and Income Strategies by Farm Size (Percent of Sample) ............ 79 Table 5.18 Constraints to Producing More Crops ................................. 80 Table 6.1 Yields of Irrigated Crop Enterprises .................................. 86 Table 6.2 Costs of Various Types of Irrigation .................................. 91 Table 6.3 Model I - Current Rainfed and Dimba Crop Enterprises ...................... 97 Table 6.4 Model 11 - Intensive Crop Enterprises ................................. 98 Table 6.5 Model III(a) - Irrigated Horticultural Crops Using Sprinklers - Income Approach ...... 99 Table 6.6 Model III(b) - Irrigated Cereals Using Gravity/Furrows - Maize Production Approach . . 100 Table 6.7 Model III(b) - Irrigated Cereals Using Gravity/Furrows - Income Approach ........ 101 Table 6.8 Labor Hiring Activities ......................................... 102 Table 6.9 Labor Sale Activities ........................................... 103 Table 6.10 Crop Sale Activities ........................................... 104 xiii Ill Ch; Tab Mal Pan Tabl Mod Part1 Table Mode Contr Table Model by All Table ' Model Table '7 Model I Table 7 Madel 1 and Off- Table 3 “Niel 11 Panza] 5 Table 3 “Ede! I] and Am L951 of Table 8. M1161 II Table 3,. ”0161 ll 91 Off.; ”Cale! II Table 6.11 Chance Activities ............................................. 105 Table 7.1 Model 1 - Safety First Solutions Using Telser’s Probablistic Criterion and Atwood’s Lower Partial Moments At Probability Limits 0.25, 0.33 and 0.4OSmall Farms ........... 112 Table 7.2 Model I - Safety First Solutions with Telser’s Probablistic Criterion and Atwoods Lower Partial Moments At the 0.25 Probability Limit Level of Activities in Solution . . . . 113-114 Table 7.3 Model I - Base Scenario Contribution of Dimba Land, Rainfed Land and Off-farm IEAs to Income ......... 117 Table 7.4 Model I - Maximum Feasible Maize Production (kg) Goals by Allowable Probability of Failure .................................. 118 Table 7.5 Model I - Shadow Prices of Resource and Constraints ...................... 122 Table 7.6 Model I - Sensitivity Analysis Results - Small Farms ....................... 123 Table 7.7 Model I - Contribution of Dimba, and Rainfed Land Crops and Off-Farm IEAs to Total Income Under Three Scenarios Small Farms .......... 125 Table 8.1 Model 11 - Safety First Solutions Using Telser’s Probablistic Criterion and Atwood’s Lower Partial Moments At Probability Limits 0.25, 0.33 and 0.40 - Small Farms ......... 132 Table 8.2 Model II - Safety First Solutions with Telser’s Probablistic Criterion and Atwoods Lower Partial Moments At the 0.25 Probability Limit Level of Activities in Solutions .................................... 133 Table 8.3 Model 11 - Shadow Prices of Resource and Constraints ...................... 136 Table 8.4 Model I] - Contribution of Dimba and Rainfed Land and Off—Farm IEAs to Total Income in Non-risk Constrained Solution ............ 137 Table 8.5 Model 11 - Maximum Feasible Maize Production Goals by Allowable Probability of Failurel38 xiv Table 9.1 Model III(a) - Safety First Solutions Using Telser’s Probablistic Criterion and Atwood’s Lower Partial Moments Using the Income Approach At Probability Limits 0.25, 0.33 and 0.40 - Small Farms ................. Table 9.2 Model III(A) - Safety First Solutions with Telser’s Probablistic Criterion and Atwood’s Lower Partial Moments Using the Income Approach At the 0.25 Probability Limit Level of Activities in Solutions .............. Table 9.3 Safety First Premium of rainfed, Dimba and Irrigated Land in Models 1, II and III . . . . Table 9.4 Model III(a) - Contribution of Irrigated and Rainfed Land and Off-Farm IEAs to Total Income .............................. Table 9.5 Model 111 - Returns Under Various Types of Irrigation for Small Farms ........ Table 10.1 Comparison of Expected Returns, Maximum Feasible Goals and Maize Production Models 1, II and III ......................................... XV 143 144-145 146 149 161 Table Enter; Table . Enterp Table .1 Enterpr Table .11 Enterpr Table A Enterpn Table At Enterpm l Table A6 Enterprg Table A» Emitters Table Ag Emerpris Table .116 Emmi-WIS: Table A5 Emeran: Table A6 ‘9 VILJPYIS: Tamc . c1 ‘*5 E '39 NEWTTM Table As Emery,“ Emma \ LIST OF APPENDIX TABLES Table A6.] Enterprise Budget for 1 Hectare of Current Non-Fertilized Local Maize ........... 168 Table A6.2 Enterprise Budget for 1 Hectare of Current Fertilized Local Maize .............. 169 Table A6.3 Enterprise Budget for 1 Hectare of Intensive Local Maize .................... 170 Table A6.4 Enterprise Budget for 1 Hectare of Hybrid Maize ......................... 171 Table A6.5 Enterprise Budget for 1 Hectare of Current Non-Fertilized Maize/Beans ........... 172 Table A6.6 Enterprise Budget for 1 Hectare of Fertilized Local Maize/Beans ............... 173 Table A6.7 Enterprise Budget for 1 Hectare of Intensive Fertilized Maize/Beans ............. 174 Table A6.8 Enterprise Budget for l Hectare of Hybrid Maize/Beans Irrigated Using Gravity/Furrows 175 Table A6.9 Enterprise Budget for 1 Hectare of Hybrid Maize/Beans Irrigated Using Pump/Sprinklers 176 Table A6.10 Enterprise Budget for 1 Hectare of Current Non-Fertilized Local Maize/Beans/Pigeon Peas 177 Table A6.11 Enterprise Budget for 1 Hectare of Current Fertilized Local Maize/Beans/Pigeon Peas . . 178 Table A6. 12 Enterprise Budget for 1 Hectare of Intensive Local Maize/Beans/Pigeon Peas ....... 179 Table A6. 13 Enterprise Budget for 1 Hectare of Hybrid Maize/Beans/Pigeon Peas ............. 180 Table A6. 14 Enterprise Budget for l Hectare of Current Fertilized Local Maize/Beans/Groundnuts . . 181 Table A6.15 Enterprise Budget for 1 Hectare of Intensive Local Maize/Beans/Groundnuts ........ 182 xvi Table Enter Table Eaten Table Eater; T3516 A" E11183“, Table A. Emtmn. ‘ ; Table Ag Emcrpns Tiblc A6 Enter-ms [sing Pu Table .ae EmCEP-‘is Title M, 5112311an Table A6.16 Enterprise Budget for l Hectare of Rice Irrigated Using Gravity/Furrows ......... 183 Table A6.17 Enterprise Budget for 1 Hectare of Rice Irrigated Using Pump/Sprinklers .......... 184 Table A6. 18 Enterprise Budget for l Hectare of Wheat Irrigated Using Gravity/Furrows ......... 185 Table A6.19 Enterprise Budget for 1 Hectare of Wheat Irrigated Using Pump/Sprinklers ......... 186 Table A6.20 Enterprise Budget for 1 Hectare of Current Relay Rainfed Field Peas ............ 187 Table A6.21 Enterprise Budget for l Hectare of Current Dimba Field Peas ................. 188 Table A6.22 Enterprise Budget for 1 Hectare of Sugarcane ........................... 189 Table A6.23 Enterprise Budget for 1 Hectare of Current Non-Fertilized Cabbage ............. 190 Table A6.24 Enterprise Budget for 1 Hectare of Intensive Cabbage ...................... 191 Table A6.25 Enterprise Budget for 1 Hectare of Cabbage Irrigated Using Pump/Sprinklers-Season 2 . 192 Table A6.26 Enterprise Budget for 1 Hectare of Cabbage Irrigated Using Pump/Sprinklers-Seasons 1 and 3 ............................... 193 Table A6.27 Enterprise Budget for l Hectare of Current Non-Fertilized Tomato .............. 194 Table A6.28 Enterprise Budget for 1 Hectare of Intensive Tomato ....................... 195 Table A6.29 Enterprise Budget for 1 Hectare of Irrigated Tomato Using Pump/Sprinklers-Season 2 .' . 196 Table A630 Enterprise Budget for 1 Hectare of Irrigated Tomato Using Pump/Sprinklers-Seasons 1 and 3 ............................... 197 xvii Table Enter Seasa Table Emer Seam Table Enter Table Enter Table 1' Enter . Seasc~ Table 11 Enter Seaso Tible 9 Enter Table Enter Table A6.31 Enterprise Budget for l Hectare of Current Chinese Cabbage ................. 198 Table A6.32 . Enterprise Budget for 1 Hectare of Intensive Chinese Cabbage ................. 199 Table A6.33 Enterprise Budget for 1 Hectare of Irrigated Chinese Cabbage Using Pump/Sprinklers- Season 2 .................................................. 200 Table A6.34 Enterprise Budget for 1 Hectare of Irrigated Chinese Cabbage Using Pump/Sprinklers- Seasons 1 and 3 .............................................. 201 Table A6.35 Enterprise Budget for 1 Hectare of Non-fertilized Dimba Maize ................ 202 Table A6.36 Enterprise Budget for 1 Hectare of Qirrent Non-fertilized Dimba Maize/Pumpkin Leaves 203 Table A6.37 Enterprise Budget for 1 Hectare of Irrigated Green Beans Using Pump/Sprinklers- Season 2 .................................................. 204 Table A6.38 Enterprise Budget for 1 Hectare of Irrigated Green Beans Using Pump/Sprinklers- Seasons 1 and 3 .............................................. 205 Table A6.39 Enterprise Budget for 1 Hectare of Irrigated Onions Using Pump/Sprinklers-Season 2 . . 206 Table A6.40 Enterprise Budget for 1 Hectare of Pumpkin Leaves Irrigated Using Pump/Sprinklers-AII Seasons ............................ 207 xviii .I' ('Y ‘1 1 lf‘ 1’: ”Hr" Final: 5- Pretty. LIST OF FIGURES Figure 1: Map of Malawi Showing Agricultural Development Divisions and the Study Area 18 Figure 2: Map of Malawi Showing Existing Irrigation Projects Area .............. 22 Figure 3: Illustration of the Concepts of Risk Aversion, Certainty Equivalence, and Risk Premium ................................................... 37 xix farm; smell 1.1 T CHAPTER 1: INTRODUCTION The central focus of this study is the problem of food insecurity among smallholder farming households in Malawi. The goal is to investigate the potential of dimbal land and small scale irrigation to improve the food security position of these households. 1.1 The Concept of Household Food Security In general, household food security can be defined as the ability of a household to provide its members access to a timely, reliable, and nutritionally adequate food supply (World Bank, 1986 p 216). For Malawian farmers, the concept of food security is defined by two factors. Staple food is maize. Except in a few ecological zonesnthe northern lake shore, the southern and northern tip of the country—maize has no competition from secondary staples such as cassava, rice, and sorghum. Peters and Herrera (1989) have aptly recorded the sentiments of smallholder Malawian farmers with respect to maize: ”Chimanga ndi moyo," say the farmers in Zomba Southzz "Maize is our life." Nothing captures so forcibly the goal of all households—to produce all the maize they could possibly want. In this area maize is equated with food...the first criterion of wealth is to have enough maize to eat; to have land is to grow maize. More than an income generating activity in the dry language of analysts, cultivating maize is a way of life... to cultivate without cultivating maize was an impossible thought. Maize is grown once a year under very uncertain rainfall conditions. This, added to the situation of incomplete and imperfect markets, makes farmers desire to produce as much ' Dimba land is flood recession land along rivers and in depressions. It is cultivated after the rainy season. 2 Zomba South is an EPA contiguous with Chiradzulu North. 1 hear 1.- hOUS ,3. Else :5. ill we? [es hf‘idi} S_t f ., , ma Ca: shoe n“ We e31 Conan: 1 2 as possible of their maize consumption requirements. Again, Peters (1991) has succinctly recorded this motivation: The people’s wish to produce as much of their own maize as possible is related to both their assessment of their ability to pay the higher prices in deficit period (December-January) as measured against their needs for cash immediately after maize harvest; the insecure set of income opportunities available to them, which are more restricted for the poor; and the fluctuation in supply at the local ADMARC selling centers, as well as costs in time and cash, involved in buying maize. For these reasons, as well as for taste preferences, the more of their food supplies people are able to produce for themselves, the less risk they face (of increased prices or of short supplies). Thus for the Malawian case, household food insecurity is primarily the failure of a household to produce enough maize to meet its annual consumption requirements. But not all households can produce their maize requirements from their land holdings. Because of very small land holdings, a large majority depend on off-farm income earning activities (IEAs) or sale of horticultural crops produced on dimba land. Thus, the operational definition of household food security for this study is the ability of households to produce maize and/or generate enough cash to meet any the shortfall in maize production. 1.2 Food Security Among Smallholder Farmers in Malawi Smallholder farming households make up 80% of Malawi’s population. For policy analysis and planning, the Ministry of Agriculture groups these households into three categories based on the size of their land holdings: those with less than 0.7 hectare of land holdings, those with 0.7 to 1.49 hectares, and those with more. This grouping is related to food security issues and to the kinds of income and employment support programs that farmers can benefit from. The group with less than 0.7 hectares represents those households who cannot meet their subsistence needs from their land alone with present crop production technology. This category constitutes 36.7% of all smallholder farming households in Malawi and 57.4% in Blantyre Agricultural Development Division (ADD) where this study was conducted. 1.3 Objectives of the Study The basic questions the study will address are: a) What is the current contribution of dimba production to food security and income in Chiraduzlu Extension Planning Area (EPA)? b) Can intensive dimba cultivation and small scale irrigation be used to improve the food security situation? The specific objectives are: 1) to understand the current pattern of land use of both dimba and rainfed land for agricultural production in Chiradzulu North Extension Planning Area (EPA); 2) to compile enterprise budgets for farm activities congruent with land and time use as detemtined above; 3) to estimate the contribution of dimba crops to household farm income and food security; 4) to estimate the possible contribution of irrigated crops to household income and food security; 5) to identify technically feasible crop/irrigation technology packages that can be used to increase production of crops; 6) to select crop-technology packages that can contribute most to improving food security; 7) to make policy and research recommendations based on the findings of the study to appropriate institutions. 1.4 Need for the Study Alternative ways of improving smallholder food production and security are needed for the following reasons: farmers “ere 1": hells b I “lit less aim-3:3 “Tier: 1T1: 5 1) At present, many farmers have too little land to produce adequate food given current technology and farming systems. 2) There are limited employment opportunities outside agriculture, and irrigated agriculture may absorb underemployed labor. 3) Rainfall is unreliable, and adequate means for insuring against crop loss and failure are not available. Recent studies indicate that maize research has released semi-flint hybrid maize varieties, e.g. MH18, with characteristics desired by farmers (Smale et al 1993). Wide- spread adoption is still to occur. In the past, the available non-flint hybrids did not meet the farmers’ storage and processing preferences. Farmers grew local maize varieties. Yields were very low due to limited access to inputs (Kydd 1989, Smale 1991). The result was yields below annual consumption requirements of households. Employment opportunities outside agriculture are very limited. For those households with less than 0.7 hectares of land the government has suggested a policy of finding alternative employment (Malawi Government 1990). However, there is no suggestion of where they can get work or how to generate the jobs. In 1987, the population census enumerated 81.3% of the labor force as employed in the agriculture sector. Farmers who do not work on their own farms work on other farmers’ gardens or in the estate sector. The estate sector employed 9% of the labor force in 1990 (Mkandawire et a1 1990). The conditions of employment in this sector are exploitative, not engendering long term household food security. Intensification of smallholder agriculture is thus a more plausible option given the economic base of the country. In the past three cropping seasons (1990/91, 1991/92, and 1992/93), drought has led to serious food shortages among as many as 90% of farming households in most of Central and Southern parts of the country. Coupled with the organizational and financial uncertainties of managing national grain reserves, the drought has put the majority of rural farms at risk of lzlra: “Perle: Scale in HO“BVQ Optlorts i ”ngahon sufflCICn: 6 starvation. The remarks quoted earlier from the Minister of Finance indicate that Malawian farmers cannot rely on rainfed cultivation. The nature of drought in Malawi and the existence of large water bodies make irrigation an attractive albeit pecuniarily more costly alternative technology for agricultural production and improving food security. Irrigation can serve both a) to alleviate the risk of drought between one season and the next, and b) to smooth out intra—season fluctuation of water supply to plants. It can also permit higher productivity cultivation practices, with a direct impact on the volume of output and farm incomes. In this sense, irrigation is not just a risk reduction strategy. It also has a major impact on output via its complementarily with double cropping, increased fertilizer use, and improved seeds. In the past, neither dimba cultivation nor expanded formal irrigation has been given due attention. The recent experience with drought in the last three years has renewed interest in irrigation. A large scale irrigation project is being implemented for the irrigation of the Lower Shire Valley. However, intensive dimba cultivation and small scale irrigation may be the only feasible options in other parts of Malawi. There is inadequate information on how to plan and organize for small scale irrigation. A pivotal question is whether irrigation with different kinds of techniques would sufficiently improve food security to justify the requisite investments. This study proposes to address this information gap by determining the crop mixtures that farmers can profitably grow, given that their overriding objective is to maximize the probability of producing enough maize for home consumption and/or earn income to buy those food requirements. 1.5 Related Research Decision making concerning irrigation planning can be phased into three: The first one is how much irrigation land to develop, given water resources and other uses of land; the second level addresses the issue of what crops to grow in a given season; the third level deals we (I 7 with how to optimally allocate water to crops that are planted (Duddley 1971). This study belongs to level two. No in-depth farm level financial studies have been done on small scale irrigation in Malawi. There is also a paucity of literature on irrigation in sub-Saharan Africa in general. The little literature available is concentrated on the Gezira Scheme in Sudan and developments along the Nile. Most of the irrigation projects existing in sub-Saharan Africa are traditional or small scale self-help schemes run by farmers on which governments did not have to spend large sums of money or carry out careful financial assessments. It is the analyses of these large scale projects that are mostly published in international journals and media (Barnett 1994). What follows in this section is a review of financial studies of small scale irrigation that were done in other parts of the world. The closest studies in objectives and methods of this study are those conducted by Maji and Heady (1978), Islam (1973), Preibprom (1982) and Laki (1992). Maji and Heady dealt with the issue of how to allocate water to six irrigation blocks of a large project with command area of 530,528 acres in Mayurikshi, India. They used a chance constrained linear programming (LP) model to develop an optimal cropping pattern and a reservoir management policy for the project. The Optimal plan allowed the probability of drought or floods to be less than 10%. This was necessary to attract farmers who have low risk bearing capacity. Islam analyzed the economic and financial returns to low-lift pump irrigation in Bangladesh. He used an LP model to determine the impact of three different rental rates and command area (area irrigated by one pump) as measured by net returns to fixed farm resources, optimal cropping patterns, marginal value products, and amount of inputs used. Economic returns were calculated using internal rate of return, net present value and benefit/cost ratio. The results indicated that there would be substantial specialization of crops under irrigation conditions, unless the yield of some crops increased substantially. Sensitivity to yields and prices was very high. He concluded that the government of Bangladesh could expand irrigation to all areas with suitable hydrological resources. Subsidies could be in q”; {CIT 3.73.3 8 significantly reduced without adversely affecting farmers’ incentives. A package combining rental charges, credit, and supply of equipment and inputs was necessary to expand command area. Priebprom (1982) approached the problem from a labor use point of view. He appraised the alternative uses of farm, non-farm and off-farm work, and their impact on production, employment and income of rural households in the Khon Kaen province of Thailand. A poly-period LP model was used to represent farm households with three different farm size groups for both rainfed and irrigated area. Major non-farm and off-farm employment was included in the model to test the complementarity and competitiveness of farm, non-farm enterprises and off-farm employment. He found that for rainfed farms, those with small holdings derived most of their income from off-farm work. Both rainfed and irrigated farmers could combine farm, non-farm enterprises and off-farm work to achieve maximum net income. Laki (1992) analyzed the impact of changes in resource use, enterprise mix on farm income on a typical Gezira tenancy, and assessed the impact of government policy on productivity. A static LP model was used to maximize gross margins, subject to minimum sorghum consumption requirements of the tenant households. Sensitivity analysis was done to analyze the impact of different technologies, policies and resource levels on cropping pattern, farm productivity and income. The results showed that 1) labor, capital and water were constraining during peak periods; 2) elimination of mandated cropping pattern increased income; 3) levels of income achieved were sensitive to prices, yield levels and irrigation water supply. The second finding is relevant to Malawi where farmers on rice settlement schemes have been discouraged partly by coercive production regulations. Faki (1982) used an LP model to examine the financial and managerial aspects of irrigation water in the Gezira Scheme. Running his model at various capacities he concluded that water was in short supply in October and November. Returns to water were high. 9 Cotton was the most profitable crop followed by sorghum and groundnuts, and wheat had negative returns. He also found a cropping intensity of 60% below the planned 75%. Hazelwood and Livingstone (1978) conducted studies in the irrigated Usangu Plains of Tanzania. Using an LP model, they concluded that large and small scale farms are not alternatives in the bid to maximize paddy production. In a separate study in 1982, they used an LP to determine the demand for irrigation water, and also discussed issues surrounding supply of water. Ndiame (1985) used a production function econometric analysis to evaluate large and small irrigation perimeters in the Flueve region of Senegal for their contribution to that country’s objective of food security. He found that large scale perimeters led to more per capita availability of food, even though small scale perimeters have higher yields. He recommended more economical strategies of food security based on simultaneous development of irrigation with rainfed and flood recession agriculture. This finding is relevant to Malawi: flood recession (dimba) cultivation, and small scale capital extensive irrigation may be complementary to large scale capital intensive irrigation. Diallo (1980) did a comparative financial and economic analysis of capital and labor intensive rice perimeters in Senegal River Valley. He found that large perimeters are less efficient than small perimeters. Both small and large perimeters have production cost above the total of purchase price, insurance and freight costs of rice from Asian countries to Senegal. Domestic resource cost ratios were 125% and 233% for rice produced on small and large perimeters respectively. Reasons given were cheap rice quality that is imported from Asia, and inefficient irrigation policies followed by the country’s irrigation board. The studies reviewed show that irrigation can be financially feasible under various arrangements and has potential in improving incomes and meeting food requirements of- fanners. This may be the case even when cropping intensity or command areas are lower than optimum. 1.6 ( imgazi this stL outline charaer: 6 coma] progra'r In ,fp' resorting? 10 1.6 Organization of the Study The study is organized as follows. Chapter 2 provides a synopsis of agriculture and irrigation policies in Malawi. The rationale for the choice of methods and techniques used in this study is presented in Chapter 3. The planning and implementation of the farm survey are outlined in Chapter 4. Following in Chapter 5 is a presentation of the major descriptive characteristics of the survey households, especially those connected to food security. Chapter 6 contains documentation on the compilation of enterprise budgets, and the formulation of the programming model used. Chapters 7 through 9 present and discuss the results of the model. In Chapter 10 is a summary of the findings and conclusions. It also contains recommendations to appropriate agencies and for future research. RESCUE plllhceg lad Gaffe PW ‘1} a ; 813w ,. mfg! < CHAPTER 2: AGRICULTURE AND IRRIGATION POLICIES IN MALAWI This chapter provides a synopsis of agricultural and irrigation potential and policies in Malawi. It furnishes a macro—economic overview and illustrates the need for small scale irrigation. The aim is to facilitate the understanding of research objectives and design, and also to provide a context for assessing the findings of the study. 2.1 Macro-Economic Performance Malawi got independence in 1964 from Britain, in one of the worst national economic conditions and political legacy for a people whose leader was ambitious to lead them to prosperity. The colonial government had strategic legislation concerning land and important economic resources, the purposes of which was to entrench colonial hegemony (Nankumba 1981, Chipeta 1992). The country has no exploitable mineral resources and so it was treated as a labor reserve for the South African mines and also Zimbabwe and Zambia, which together with Malawi were part of the British Colonial federation. The country’s economic development strategy is based on rapid increase in agricultural productivity to boost export crop production and ensure adequate food supply. It produces its own basic foodstuffs, and exports tobacco, tea, sugar, groundnut, rice, cotton and coffee. Tobacco contributes 74% of export earnings. (See Table 2.1.) The way that the agricultural sector has been organized to implement the policy is purely a political matter. This is discussed in the following section. However, before that an overview of the macro-economy and its performance is provided. Between 1964 and 1979, the economy maintained a strong upward trend: GDP growth rates averaged 5 %. The country was acclaimed for some the best performance . amongst small landlocked countries and by the World Bank and the International Monetary Fund as one of the examples of adopting their current policy prescriptions for least developed countries, and doing well. Others feel that those who held out Malawi as a virtuous case 11 Tcagha enem llarch . due to (Malta 12 Table 2.1 Principal Domestic Export Commodities 1992 Agricultural crops Value(MK' million) Proportion(%) Tobacco 1029.8 74.2 Tea 106.1 7.6 Sugar 97.8 7.0 Rice 2.0 0.1 Cotton 16.6 1.2 Pulses 7.0 2.0 Coffee 27.0 0.5 Other Exports 100.5 7.2 Total Domestic Exports 1387.4 100.0 tended to exaggerate the strengths while ignoring the weaknesses (Kydd and Christiansen 1981, Lele 1990). An important motif in their argument was that the pattern of growth chosen was not optimal, especially when distributional issues are considered. These misgivings were actually born out. Between 1979 and 1982, GDP growth reached a standstill. Most of the immediate causes of reduction in economic activity were external: rapid deterioration in Malawi’s terms of trade, a second rise in oil prices, a drought which compelled maize imports, closure of Malawi’s main transport link to outside markets due to the war in Mozambique, and historically high interests rates in international markets (Malawi Government, series of Economic Reports). A After implementing structural adjustment programs with lending from the IMF and World Bank the economy was resuscitated, although the performance of key macro-economic variables has been mixed. During 1983-1985 GDP grew at 4% from below zero in 1981. Between 1985 and 1987 there was another decline; the economy picked up in 1988. Inflation reached an all—time high of 31.4% in 1988 but fell to under 10% in 1989 due to availability of goods under the import and industrial liberalization schemes that are part of structural econ point better has It Come. deem; agncul Product 13 adjustment. Poor performance in this period has been attributed to contractionary macro- economic policies, which wrung growth prospects from the economy. Some recent analyses point to poor entrepreneurship and management styles, but it is difficult to conceive what better management would have achieved without resources (Meyers 1990). Besides, Malawi has had very strong economic institutions and probably the least corrupt African civil service. Under the structural adjustment, the poor have paid a heavy price (Harvey 1987, Cornea et a1 1988, Kandoole 1989). They have suffered because social services were initially de—emphasized due to the inflationary effect of currency devaluation and the way that agricultural marketing liberalization increased uncertainty in food markets. Although producer prices were increased as part of structural adjustment policies, the majority of smallholder farmers have failed to respond to the incentive due to small land holdings and/or no access to inputs (Lele 1990). Also, most are net purchasers of food, not sellers. Despite these programs and policy changes, the performance of the economy is far from favorable. The export base is still narrow, and the economy is still highly vulnerable to exogenous and natural shocks. In 1992, ”real GDP declined by 7.9% compared to a growth rate of 7.8% in 1991, mainly due to short-fall in small-scale agricultural production arising from the drought” ([Malawi Government l993(c)] p4). The public sector still runs large deficits. Between 1991 to 1993 the deficit in the government budget increased from MK328m to MK848m (6.48% to 9.36% of total GDP). Investment as a ratio of GDP declined in the same period. The balance of payments, which was in surplus in the 1990-1992, plunged to MK505.5m in 1993. These economic data combined with high population growth (3.3%), lead to a forecast of no per capita GDP growth between 1993 to 1996 ([Malawi Government l993(c)] p21). An important lesson from the analysis is how drought can seriously impact the macro-economy. These effects may be dampened with more extensive use of irrigation. - 22 export allies 2 created of mere 211] reward '0 and cred: and pofttz preterenti; Re smallness an ids-am mlonb'ot ,, “CC to The “0 e 0the. [O in com: TOP IS the 0m} f5 14 2.2 Agricultural Development Policy Emanating from a mistrust of the capacity of smallholder farmers to grow and handle export crops, and from a need to use the profits from estate production to reward political , allies and create a support base, a dichotomous estate and smallholder agricultural sector was created. The ultimate effect of this has been to deprive the rural poor of their potential source of increased income through preferential land and marketing policies. 2.2.1 The Estate Sector of Agriculture Until recently, the estate sector was the domain of pe0ple the government wanted to reward or appease for political reasons. They have had the privilege of easy access to land and credit. Commercial banks have been made to give agricultural loans to top civil servants and politicians. These asset entitlements were complemented by the subsidization of inputs, preferential marketing procedures and a supply of cheap labor. Resources have been funnelled to the estate sector, while conspicuously slighting the smallholder sector. Although government planning documents emphasized the need to ensure an adequate food supply to save foreign exchange, there was no real effort to equip the majority of the smallholder farmers with the capacity to produce food. With particular reference to maize there was this explicit policy: The increased production for maize should be a result of higher yields per acre, and no encouragement should be given to growing maize on land at present used to grow other crops. It is important that this be understood by all concerned as any tendency to increase the proportion of cultivated land planted with maize would be directly contrary to the nation’s long term objectives (Malawi Government 1979) p 16. To produce more maize per unit of land, farmers need more fertilizer which at present is the only feasible way of increasing production. But the allocations of fertilizer credit to 15 smallholder farmers have not increased at the same rate as credit to estate agriculture, despite the poor credit record in the estate sector3 (Kydd and Christiansen 1982). Estate and smallholder agricultural together now contribute nearly 40% to gross domestic product (GDP) and provide over 90% of total domestic exports. However, since 1964 the estate sector has expanded considerably, such that smallholder agricultural output as the percentage of total agriculture output fell from 93 % to 80% between 1965 and 1980 and is now at 72%. In 1970 only 23.5 % of the tobacco area was under estate agriculture, but this rose to 47% in 1985. Productivity has also been higher in the estate sector for export crops like tobacco and tea. In the case of tobacco, yields in the smallholder sector are only half in the estate sector. The yield and area factor have led to a situation now where 73% of tobacco is produced in the estate sector compared to only 40% in 1970 (Malawi, Government Series, Economic Reports 1970-1993). The estate sector accounts for 80% of export earnings, mostly from tobacco, but also from tea, coffee and sugar. It employs about 10% of the labor force. Recent studies of the sector indicate that there has been a structural change in the sector with more ownership by graduated smallholder farmers (Mkandawire et a1 1990). These smallholder farmers have graduated by consolidating land with relatives and registering it as leasehold to enable them to get quotas to sell high value burley tobacco to international buyers. This is certainly an important policy of relevant finding. However, the conclusion that leads one to question the long held position that smallholder farmers have not benefited from development of export-led agriculture is lopsided. It is certainly the case that the incomes of those who participate in estate sector 3 Fertilizer use intensity averages 154 leg/ha in the survey households compared to an average of 328 kg/Ha in the estate sector, where most of the fertilizer is ’leaked’ from ADMARC subsidized fertilizer intended for smallholder farmers (Mkandawire et a1 1990). IT}: pre ("I ”"3 lane grad Err: from 2.2.2 as ba "M the SOLE-gm l PTOJeCts {Tillers 1 [he more Schemes" Ft aPPTOaCh‘ pro”dad t 31":de and 1 l6 improves. However, any farmer who can consolidate or buy 30 hectares of land is not the typical smallholder farmer discussed in policy issues in Malawi. It is the tenants who work in these estates that fit into this category. Concerning them, the authors question "if under prevailing price and cost conditions, tenancy arrangements can alleviate poverty on any significant scale" (Mkandawire et a] 1990 p xiv). All estates account for only 20% of total land. Besides, even if the graduated smallholders constitute half of the estate owners, the graduated smallholder farmers are a minuscule proportion of smallholder farming families. Evidence still supports the position that the majority of smallholder farmers have not benefited from the development strategy based on large-scale agriculture. 2.2.2 The Smallholder Sector of Agriculture Immediately after independence, the approach to smallholder agricultural development was based on the transformation approach. But between 1965 and 1969, the government felt thatthe efforts to develop agriculture without concerted programs would not achieve much. It sought to concentrate on promising regions, "through the establishment of high productivity projects while maintaining the policy of gradual improvement for the mass smallholder framers through general extension and marketing operations, and a particular concentration on the more responsive farmers through the Achikumbe‘ programs and irrigation settlement schemes” (Nankumba 1981). Four projects were established which followed the integrated intensive package approach, the first of its kind to be financed by the World Bank (Lele 1978). Financing was provided for construction of roads and social services as well as providing extension and credit and marketing services. Emphasized cr0ps were cotton, groundnut and rice. However, ‘Achikumbe are progressive farmers who maintain the highest possible standards in their farming without falling back for five years. They are awarded the prestigious Achikumbe certificate. . 5 These are described in section 2.3.2 prox CO 111'] Sea0U. ad Ma." 1937, Private "ac “19mm .i ”0:339 and 56mm“ Stu; Mar famers be P .- \u 17 the efforts proved to be to expensive and the yields did not increase as projected (Mkandawire 1985). There was little growth in the volume of marketed surplus. A new approach, the National Rural Development Program (NRDP), was thus adopted where emphasis is placed on provision of credit, extension and marketing services. Coverage was increased to the whole country, and implementation has been incremental on a project-by-project basis. Under the NRDP, the country is divided into 8 semi-autonomous Agricultural Development Divisions (ADDs) (see Figure 2.1) which oversee the planning and delivery of agricultural services to farmers. At the level of the farmer, services are organized as follows. An extension service based on the training and visit system is available to all farmers. The government provides a cadre of extension workers who teach and demonstrate crop and animal husbandry and home economics topics. Each extension worker has approximately 800 farm families to reach. She divides her area into blocks. Farmers in each block meet with her on a specified day in a rotation. Although these meetings are open to everybody, it is mostly those who have received credit for inputs who attend. In principal, anyone can get credit; however, because of requirement of credit worthiness, only those who have resources for collateral receive credit. In all, only about 25% receive credit and patronize the block meetings (Ngwira 1988). Agricultural marketing is done by the Agricultural Marketing and Development Board (ADMARC) through a chain of markets which purchase and sell crops. During the harvest season, additional rural markets are opened to allow farmers to sell their crops easily. Since May 1987, an act of parliament liberalizing agricultural marketing has made it possible for private traders to buy and sell crops. This has created problems for farm households because the traders have no incentive to go back to the rural areas and sell produce due to high storage and transport costs (Kalua 1991). There are also problems for monitoring the food security situation because it is difficult to follow the activities of private traders. Marketing through ADMARC effectively imposes an export tax on smallholder farmers because they receive only a small percentage of the world or urban market price even 18 "' s tors .-.n....- —L-. Figure 2.1: Map of Malawi Showing Agricultural Development Divisions and the Study Area COI CTO T'UTE scum a: 1“ IOtal mOSlly L 19 considering administration and transportation costs. In contrast, estate producers sell their crops straight to the international buyers and receive the world market price. Most assessments of the Achikumbe and irrigation settlement schemes, integrated rural development projects and the NRDP are negative (Lele 1975, Mphande 1984, Kydd and Christiansen 1981, Mkandawire 1985). In the case of food crops, performance of the smallholder sector with respect to maize production has been disappointing. The National Sample Survey of Agriculture (1968 and 1981) show that yields have not changed. Until recently, the country was regarded as an exception to the African food crisis, in that self- sufficiency has been maintained in the main food crop, maize. However, the low productivity and the increasing population have led to low per capita food availability. To date, low productivity has meant that agricultural programs and policies have failed to ensure that the majority of smallholder farmers are food secure. 2.3 Irrigation Potential in Malawi 2. 3. 1 Hydrological Resources Malawi is a long, narrow landlocked country, some 840 kilometers from north to south and varying in width from 80 to 160 kilometers. It is situated in Central Africa lying between latitude 9 degrees and 17 degrees south and longitudes 33 degrees and 37 degrees. Its total area is 118,484 square kilometers of which 24,208, or 20%, are covered by water, mostly Lake Malawi. It is contiguous on the north and northeast with Tanzania, on east, south and southwest with Mozambique and on the west with Zambia. The country is aligned along the southern continuation of the east African rift valley system, but it is mostly a plateau. The northern part of the rift valley contains Lake Malawi which is 568 km long, varying in width from 18 km to 80 km. The River Shire, which'flows from Lake Malawi in the south, takes a serpentine route proceeding through Lake Malombe to the Zambezi River. Throughout its course, it provides many opportunities for gravity fed water abstraction for irrigation (Malawi Government 1992). The Shire Valley from Ka val the \‘tpl 1.52 Mule river: theL 20 Kasinthula onwards is practically irrigable land because of easy access to water and the fertile valley soils. This area is perhaps the single most under utilized resource in the country. The plateaux are on the western side of the rift valley with the highest elevations in the north and several mountain ranges in the central and southern regions. The Nyika and Viphya Plateaux in the north, and the Dedza mountains and the Kirk range rise to between 1,524 and 2,440 meters in places. In the south, the Shire highlands, and the Zomba and Mulanje mountain ranges rise to 2,100 meters. The plateaux are drained by many perennial rivers which provide opportunities for irrigation in the flood plains and at their confluences to the Lakes Malawi and Chirwa. Examples of this are Wovwe and the Likangala rice schemes. The great variations in latitude and attitude are responsible for a wide range of climatic, soil and vegetational conditions within the country’s comparatively small land area. There are three climatic seasons. During the cool season, from May to August, there is very little cloud cover. Temperatures in the plateau areas are 15.5 C to 18 C, and in the rift valley 20 C to 24.5 C. The coldest month is July, maximum temperature is 22.2 C and the minimum 11 C. Light rain may occasionally fall on the higher southeastern and northeastern slopes. The rain is sufficient to grow a second crop of beans or field peas. In September and October before the rains start there is a short hot season with high humidity. Mean temperatures range from 27 C to 30 C in the valley and 22 C to 24.5 C on the plateau. During the hottest months, October to November, temperatures may exceed 37 C in the low lying ares. The rainy season lasts from November to April, and over 90% of the annual rainfall occurs during this period. Most of the areas receive an annual rainfall of 760 to 1,015 mm, but some areas on the plateau get over 1,525 mm. The country of Malawi almost never experiences complete rain failure. Most of crop failures are due to inadequate rain at critical times in the cropping season. But during the 1991/92 cropping season the country experienced the worst drought in more than 40 years (Malawi Government 1993). The last famine of 1949, however, is considered worse in its impact. The recent drought started in Southern Africa and spread to the whole country by self-l Maiat Sparse from 0 33‘: .cte for 21 mid-January. The southern part of the country was the hardest hit. Rainfall was below half of the normal level and food production dropped to less than half of the normal level. In 1990/91, most parts of Malawi received less than half of expected rainfall in the first half of the season (October to December) (Malawi Government, 1991). The 1992/93 cropping season started very well, but rains were interrupted up to mid-December. These references to recent drought are used to illustrate the need for supplemental irrigation. 2. 3.2 Irrigation Policies There are two kinds of irrigation establishments in Malawi: government supported small scale irrigation projects and private projects. The latter can further be divided into two: self-help small scale projects and large scale commercial irrigation. The government of Malawi has not financed or organized large scale irrigation projects. The government- sponsored projects are commonly referred to as settlement schemes. Tenants are brought in from other parts of the country to work on land that has been developed by government agencies. In 1967, the Irrigation Branch was formed under the Ministry of Economic Affairs to design, construct and maintain smallholder irrigation schemes. In 1968, the Settlement Branch was formed to look after the settlement of farmers and to manage the irrigation schemes. The aims were: a) to prepare the country for the time that rainfed agriculture could not produce enough food to feed the population; and b) to make it possible to produce certain export crops in the wet and dry season (Mphande 1984). Figure 2.2 shows the schemes that have been developed by the Irrigation Branch and the Chinese Agricultural Mission to Malawi. The schemes are located along the Lakeshore plains and in the Shire Valley. The main crop grown is rice. The highest yields achieved by farmers is 4.7 tons per hectare and average yields are estimated at 3 tons per hectare (the ntzuzue SCALE t- 1 : 4,000,000 Figure 2.2: Map of Malawi Showing Existing Projects Area 23 Table 2.2 Irrigation Development (Hectares) Year Total Area Developed Area Planted Developed within Year with Crops 1969/70 802 654 593 1970/71 1396 594 1288 1971/72 1841 445 1764 1972/73 2343 - 502 2094 1973/74 2590 2472 671 1974/75 2590 -- 2081 1975/76 3696 1106 2359 1976/77 3798 101 3078 1977/78 3899 101 3484 1978/79 3928 29 2750 1979/80 4016 88 2201 1980/81 4171 155 2546 1981/82 4171 --- 3852 1982/83 4171 --- 3548 1983/84 4171 -- 2377 1984/85 4535 364 3628 1985/86 4899 364 3819 1986/87 5273 374 4218 1987/88 5633 360 4506 1988/89 5903 614 600 1989/90 6054 421 4843 1990/91 6354 300 5083 1991/92 6654 100 5083 1992/93 7000 220 5349 Source: Malawi Government, Agricultural Statistics, Annual Bulletin (1993) potential yield is 6 tons). The total land area developed is estimated at 7,000 hectares. The Department of Irrigation conducted appraisal studies on the possibility of upgrading self-help schemes and increasing the number of gravity-fed irrigation schemes (Malawi Government, January 1992). Twenty-three and 18 sites were evaluated in Mzuzu and Blantyre ADDs respectively. The evaluations were based on primary and secondary indices. 24 The primary index included such criteria as presence of perennial source of water, possibility of gravity irrigation, ease of abstraction, topography, drainage and soil fertility. The secondary index captured experiences in committee organization, water management, and communal work, and also economic considerations such as cropping intensity and increase in production and costs of construction. The assessment shows that there is potential for up to 12 self-help projects to be redesigned and upgraded to assisted status in Mzuzu and Blantyre ADDS. Self-help irrigation projects are based on three tenets: a) the projects should be farmer managed; b) the area should not exceed 50 hectares; c) abstraction of water should be by gravity (diversion): pumping or sprinkling is not included. Using the criteria above, it is estimated that another 2,000 hectares can be developed on a self-help basis in these ADDs only. This excludes areas suitable for formal, larger schemes as well as small areas where the parent river is too large to make small-scale abstraction feasible. At present, 1,500 hectares of land are under self-help schemes in the whole country, this is 7% of total irrigated land. The irrigation projects that are envisaged in this study include cases where it is financially feasible to pump water for irrigation, and are financed and run independently from the government. Government assistance to self-help projects is a very sensitive affair, yet in many cases this assistance is needed first to create the awareness of possibilities through extension and demonstration. The second stage is to provide technical guidance, especially in constructing intake works, but also in formalizing marketing channels for the produce. The third and most sensitive step is financial support. These aspects are reviewed in the next section. Large scale commercial irrigation is used mostly in the estate sector for sugarcane production. The major establishments owned by the Sugar Corporation of Malawi are at 25 Nchalo and Dwangwa. Some tobacco and coffee growing estate farms use sprinkler irrigation to counter the effect of drought or to make possible early planting. The potential for commercial overhead irrigation is technically unlimited since there are many perennial rivers and suitable arable land. In many cases overhead irrigation could be used to grow off-season crops on rainfed land. Only financial constraints can limit its use for production of some crops. The total area developed by commercial agencies is about 16,000 hectares. It is estimated that 290,000 hectares of land in Malawi can be irrigated by different means, but only 7% of this has been irrigated (FAO 1986). This potential plus the valuable experience the Ministry of Agriculture has had with irrigation makes investments in irrigation a very effective way to address the problem of rain dependence and risky, low productivity smallholder agriculture. However, some institutional issues may have to be addressed to realize greater returns from investments. 2.4 Implementation of Irrigation Projects There is considerable evidence that the potential gains from irrigation in developing countries are far from being fully realized (Barnett 1984, Makhado 1984, Carruthers and Small 1991). This evidence also shows that inappropriate institutions contribute to the situation (Barnett 1984). This section provides a cursory review of these and other problems that need to be addressed to improve chances of successfully implementing small scale irrigation projects. The problems can be grouped into five. The first relates to deficient design and technical management, which eventually leads to insufficient delivery of water to farmers with negative impact on yields. The second is inadequate financial resources, inappropriate institution arrangements for financing projects, and low priority for maintenance of irrigation works. The mechanisms for financing irrigation projects affects their performance (Carruthers and Small 1991). Issues concerning maintenance are important for success of irrigation projects. If a project already suffers from other difficulties, the use of technically insupportable technology guarantees Cf If! a) bl Cl 26 failure. Morris (1984) cites a project in Mali where irrigation pumps were ordered from India because they were considered technically optimal (the alternative was to get them from France). But it proved difficult to order spare parts and find or train people to maintain them in a timely manner. The third, poor production techniques, has caused failure of many irrigation projects. Irrigation projects which aim to reduce farmers’ exposure to naturally caused production risk end up exposing them to institutional risks by participating in projects. For example, the report for Mchenga Project pointed out the following problems: a) farmers’ inexperience with the crops, in particular direct seeding, led to poor germination; b) lack of experience in pest'control led to 75 % loss of tomato crop in the first cropping season; c) farmers were wrongly sold by the National Seed Company choumollier instead of rape, which resulted in undersupply of seed because of the difference in plant population for the two (although almost the same) leafy vegetables. Choumollier has lower plant population and the seed package contains less seed grains. The more popular rape needs more seed per unit area. This led to a situation where some beds meant for rape remained empty, and also to marketing problems since customers prefer rape. The solution proffered farmers in this report, suing the company, is not adequate. There has also been a problem with cropping patterns. Crops were either under- or over-watered. This problem was being solved at the time of conducting the study by following independent blocks for every crop. The first method had a block for each farmer. Since the sprinklers have a wide reach, it was difficult to control water for each crop on the farmer’s block. Most of the problems at Mchenga and Diamphwe projects were exacerbated by poor farmer supervision. 1183 irrlt \ 27 The fourth group of problems originate from low motivation of project staff. There is need to reward irrigation extension officers based on criteria related to project performance. This may be difficult if the extension workers are part of the Civil Service, hence the need for irrigation projects to be autonomous from government. Another disadvantage of public irrigation projects is that extension workers are relocated every three to four years so that they do not feel responsible for the projects. It also leads to discontinuity in rapport between farmers and staff. The fifth problem concerns marketing. Mchanga and Diamphwe projects were experiencing problems with marketing of leafy vegetables. Some farmers dropped out from the project because of this. It is thus imperative to plan properly for marketing of horticultural crops. In the first season, there was no market for lettuce. In the second season, there was tough competition from dimba crops produced by other farmers. The report of the Lilongwe ADD recommends: intensification of market research to establish demand and supply as a guide on what and how much to produce at a specific time period taking into account other producers (Lilongwe ADD 1993, p4). The sixth problem is poor water management. The result is usually inadequate water provision to farmers. In rice growing projects, inadequate water management is held to be the single most important factor in explaining the gap between actual and potential yield (FAO 1986). A simple calculation from the figures from Mchenga and Diamphwe projects show that only the best farmers (with highest yields) should participate in the project if it is to be independently financially viable. There is need to reduce constraints to increasing yields. Finally, irrigation projects experience problems if they are based on assumptions reflecting inadequate understanding of social relations of production. This is particularly true in the area of labor supply. Project officers tend to deal with men or use abstract concepts of the household. "Planning documents frequently contain calculations which involve counting of person-days required to produce a certain crop mix and reconciling this with the available person days. This is a crude and destructive method which deforms reality" Barnett (1984). Women can leat 11183 4:1,- mitts 28 Women tend to be ignored by planners or taken for granted. In some cases, targeting women can lead to more efficiency: if irrigated rice plots and the whole technology of growing rice together with credits originally given to men by the Taiwanese and World Bank programmers had been made to women as well as men, it is probable that double cropping of irrigated rice would have been achieved in women’s fields at least. Women are in a much stronger position than men to cultivate irrigated rice in the rain season as labor demands fit in with customary sexual division of labor (Dey 1980). 2.5 Summary This chapter reviewed agricultural and irrigation policies in Malawi, to provide a macro-context for evaluating the objectives, methods and findings of the study. The chapter emphasized the negative synergistic impact on household food security of poor performance of smallholder agriculture; increasing population pressure; and a small manufacturing sector. It is argued that the risky nature of rainfed, low input cultivation makes irrigation an attractive prospect. The country has suitable hydrological and land resources, as well as valuable past experience to enable implementation of financially feasible irrigation projects. However some institutional reforms and innovative management may be necessary to ensure success of projects. m kt dn dd part farm COUm Emu imPOn Smdh. Menu laclot Hdhm, CHAPTER 3: ANALYTICAL METHOD This chapter discusses the rationale for the selection of analytical method used in this study. It begins with a brief review of smallholder farmer objectives and decision making in risky environments, to justify the selection of a linear programming model based on Target MOTAD with Telser’s safety first probablistic criterion. 3.1 Smallholder Farmer Objectives Ellis (1988) provides a lucid review of the several theories posited in agricultural production literature about the economic behavior and goals of smallholder farmers. The following theories are included: the profit maximizing peasant; the risk averse peasant; the drudgery averse peasant; the farm household peasant; and the share cropping peasant. His definition of peasant is also our concept of ’smallholder farmer’ as "family farmers only partially integrated into incomplete or imperfect markets. The threefold emphasis is on family, on partial engagement in markets, and on the imperfections of those markets ", p181. Schultz (1964) was among the first to suggest that smallholder farmers in developing countries might be optimizing economic agents. His hypothesis of smallholder farmers being ’efficient but poor’ has been researched and evaluated extensively. This hypothesis derives its importance not from accurately describing farmer behavior, but from its success in placing smallholder farmer rationality fim'ily on the research and policy agenda. Prior to Schultz the literature on traditional agriculture was permeated with stereotypes of laziness, perversity, lack of motivation and irrationality on part of peasants as economic agents. The Schultzian hypothesis ascribes to peasants the motive of profit maximization. Profit maximization has both a behavioral content and a technical-economic content. Most of 29 30 the research in this area has rejected the efficiency hypothesis in its pure form in favor of some form of constrained profit maximization (Lipton 1968, Ray 1985). In most economic modelling, utility maximization is equated with profit maximization. This is correct if farmers have no other objectives and are operating in risk- free environments. Empirical work shows that economic agents’ desires to maximize profits are often constrained by the need to avoid or manage risk. Research studies support the proposition that small farmers are risk averse (Wolgin 1975; Schluter and Mount 1976; Dillon and Scandizzo 1978; Binswanger and Sillers 1983). Maximizing utility under uncertainty may result in lower use of resources, lower levels of returns and diversification of activities (Samuelson 1967, Sandmo 1976, Brink and McCarl 1978, Weirnar 1988). An important problem in the empirical literature is attributing to risk aversion all departures from economic efficiency. This is especially true in studies that use variations to objective data, like prices and rainfall patterns, as the basis for drawing conclusions on the subjective behavior of farmers (Binswanger 1980, Binswanger and Sillers, 1983). So, for example, mixed cropping has been explained as a response to risk when actually it may also ' be a way of maximizing returns to labor and land. In this study, smallholder farmers are perceived to be utility maxirnizers who are risk averse. The most important type of risk is yield risk (and hence income risk) as affected by rains and augmented by market imperfections. Risk aversion plus cultural preferences and taste considerations for local varieties of maize lead to farmers trying to produce their local maize consumption requirements (Peters and Herrera 1989, Smale 1991 and Kydd 1989). Thus farmers exhibit a safety first response to uncertainty. However, farmers may fail to optimize in many cases perhaps because of cognitive (relating to the way problems are structured and the strategies), not necessarily motivational (relating to the amount of emotional effort expended) (Schoemaker 1982), limitations. This is one reason for well 31 informed extension advice based on results of relevant smallholder agricultural production studies. 3.2 Decision Making Under Uncertainty 3.2.1. Risk and Uncertainty Risk refers to situations where probabilities can be attached to the occurrence of events. Uncertainty refers to situations where outcomes of activities are stochastic but there is lack of information on probabilities of occurrence of outcomes (Knight 1921). This definition ushers in the philosophical problem of what probabilities are. Probability lacks primary sensory evidence as to its existence and may be an invention rather than a discovery. Churchman (1961) expressed the problem this way, "almost every one knows what it means to say that the event is probable-except those who have devoted their lives to thinking about the matter. " Additionally, there is evidence that people from one culture may perceive uncertainty more in probablistic terms than those from another culture (Hacking 1975, Lawrence and Wright 1977). Uncertainty characterizes the environment confronting farmers. This environment contains a wide variety of uncertain events to which farmers will attach their subjective probability beliefs. Economic analyses are sometimes based on the decision maker’s personal belief about the probability of occurrence of uncertain events rather than objective probabilities. In the case of rainfall, for example, what is important is not the known past average occurrence of drought, but rather the farmers’ personal view about the likelihood of drought. This distinction between objective and subjective probabilities is important for two reasons. First, historical data may be an unreliable indicator of future events. Second, in 32 many cases if a disaster strikes, people react as if it will strike again sooner than evidenced by historical data. Their behavior is not based on historical data but on most recent experiences. This is consistent with the concept of reinforcement in behavioral psychology (Schoemaker 1982). It is this manifest decision maker behavior that matters in risk modelling because it affects farmers’ decisions about resource allocation (Ellis 1988). The distinction between objective and subjective probabilities is also important for evaluation of the expected utility hypothesis that undergirds the decision making models reviewed and used in this study. 3. 2. 2. Models of Risk Analysis in Agriculture The decision making process under uncertainty can be reduced to five steps (Crawford 1992): 1) Identification of the set of alternative actions. Actions X,,...,Xj should be mutually exclusive and exhaustive of alternatives available. 2) Identification of states of nature which may occur. 3) Assignment of probabilities to the states of nature. These are degrees of belief held by the decision-maker of the likelihood of each state of nature occurring. 4) Specification of the outcomes of each activity under the various states of nature. 5) Choice of criterion for deciding the optimal plan. When there many possible farm plans to choose from, a farm manager can be guided by what proved successful in the past for herself and others. She will adjust her program marginally using some informal arithmetic or a more or less systematic budget approach. However, there are more structured methods to solving risky decision problems. They range from using conservative estimates for certain random variables (e. g. price and yield), through methods which explicitly incorporate density functions for the random variables. With Wha- bl mar 21f] fi acIll-ill: 33 increased computational and software facilities these models can be easily solved by researchers and decision makers through mathematical programming. Mathematical programming allows the testing of a wide range of alternative actions and analyzes their consequences thoroughly with a comparatively small input of time. Questions relating to proposed changes to a farm plan can be answered rigorously and quickly (Beneke and Winterboer 1973). A general linear programming model to represent optimal farm decision making process is: max 2 = l'Jcj X]. such that: E 3,-ij < b,, for all i e [1, m] xj > o, for allje [1, n] where: Z = total gross margin Xj = the level of the jth farm activity, and n is the possible number of activities c,- = the expected gross margin per unit of activity j a,- = the amount of resource i needed to produce a unit of j bi = amount of the ith resource available The problem is to identify the mix of farm activities that maximizes the total gross margin Z, using no more than the resources available, and not involving negative levels of activities. In matrix form the problem can be presented in this way: 2'” T “\J S 34 Table 3.1 A Simple Linear Programming Table Row name X1 X2 ..... X11 RHSa Objective function Cl Q ..... Cn MaxiFu'ze Resource constraints 1 all al2 ..... aIn < bl 2 a21 a22 ..... a2n < b2 m aml am2 ..... amn < bm a/ RHS = right hand side In ordinary analysis, the parameters C], aij and b, are assumed to be known with certainty. However in agricultural production, activities have uncertain outcomes owing to the biological nature of enterprises, variable weather and environmental conditions, changing demand and unpredictable government policies which affect prices. All these lead to yearly or seasonal variation in incomes. Under these circumstances, the ordinary LP does not give optimal results because the decision criterion used in ordinary LP does not take into account the riskiness of alternative plans. Many criteria are available for risk analysis problems. The choice of decision criterion for a particular risk analysis problem depends primarily on the following: a) the nature of risk being dealt with, e. g. objective function or constraint set risk; and how the risk is defined for programming purposes, e. g. deviations below target or variance around mean; and b) how the farmers are perceived to respond to risk e.g. safety first response. 3.2.1 found mode} lmpro an ord: hyporh attort< ordert: prefers I prefer: if X; is x) an: that a rl “that albttrart “mm \) funnier ACcord 35 3. 2. 1. 1 Direct Expected Utility Maximization Most of the risk analysis criteria that use mathematical programming have their foundations in the expected utility model (EU). The first group uses the expected utility model directly and the second group, cognizant of the weaknesses of the model, attempts to improve on it. The expected utility hypothesis postulates that under certain assumptions or axioms, an ordinal utility function exists by which prospects can be ranked. The foundation of this hypothesis as developed by von Neumann and Morgenstem (1953) consists in a set of four axioms which are: ordering, transitivity, continuity and independence of prospects. The ordering axiom requires that for any of the prospects X, and X2 the decision maker either prefers X, to X2, X2 to X, or is indifferent between them. Transitivity implies that if X, is preferred to X,, and X2 is preferred to X,, then X, is preferred to X3. Continuity implies that if X, is preferred to X,, and X, to X,, then there is a mixture of X, and X3 that is preferred to X,, and a mixture of X, and X3 over which X2 is preferred. The independence axiom says that a risky prospect X, is preferred to a risky prospect X2 if and only if a p chance of X, with a (l-p) chance of X3 is preferred to a p chance of X2 with a (l—p) chance of X3, for arbitrary positive probability p and risky prospects X,, X,, and X3. It is the independence axiom which gives the EU model theory its empirical content by placing a restriction on the functional form of the preferences by implying that it must be linear in probabilities. According to the EU model, for any utility function U(X): a) if a risky action, X, is preferred to another X,, then U(X,) > U(Xz), and b) U(X,) = EiU(Yij) = EpiU(Yi,-). The optimal X,- is the one that maximizes expected utility. EU(X,-*) = Max [U(X,)] = Max [Emma]. CK .«e b\ 36 where U(X,),...,U(X,) = utility of choices X,,...., X,- X,‘ = ex ante optimal choice among actions; p, = probability of state of nature S, occurring; and Y,- = the outcome of Xj when Si occurs Alternative actions are thus ranked according to the probability of the states of nature and the relative preferences concerning the outcomes as embodied in the utility function. The foregoing definitions enable the illustration of key concepts in risk analysis (Figure 3). First, risk aversion leads to a concave utility curve so that the utility of the expected monetary value of a risky plan is higher than the expectation of the utility of the action. Risk averse decision-makers maximize expected utility, not utility of the expected value of the risky plan. The certainty equivalence (CE) is the amount that will give the same utility as the risky plan—EU(Y). The risk premium is the difference between the monetary outcome of a risky plan and the CE. This amount will make the decision maker indifferent between receiving the certain amount, CE, and taking the risky plan. The risk premium is positive for risk averse individuals, and they prefer certain outcomes above the CE to the risky action, and prefer the risky action if the certain outcome is below the CE. The degree of risk aversity can be measured by the Arrow-Pratt absolute risk aversion function 17 = -U"(Y)/U’(Y) The direct application of expected utility maximization requires assumptions concerning the nature of the utility function. Tobin (1958) used the utility function U(y) = (1+by) +by2 for which maximizing expected utility is equivalent to maximizing: (1+b) u + b(02+u2) Freon“, utility is e, Where [a 37 “Em sum um) r1 D! Em '2 V Elma: llhslutloumemunlnlsumslon, Certainty Esau-lean. and an Premium Freund (1956) proposed the use of negative exponential utility function U(y) = 1- e "V where a > 0 a is measure of the decision-maker's attitude toward risk. In this case maximizing utility is equivalent to maximizing: u - a02/2 where u = mean of y o = standard deviation of y rat: ext cles $011 and 38 Another approach to direct expected utility maximization is the Exponential Utility Moment Generating Function (Lambert and McCarl 1985; Collender and Chalfant 1986; Babcock, Chalfant, and Collender 1987). It is based on the assumption of an exponential utility function, and the maximization of expected utility is based on the moment generating function for the random variable. In some variations of the model the probability distribution of the random variable has to be specified. Each type of distribution yields a different moment generating function. Although the expected utility hypothesis is consistent with economists’ concept of rationality, empirically it holds as an exception rather than rule. Schoemaker (1982) has extensively reviewed research that evaluated the model. He concluded that the model fails to describe how people behave: They do not structure problems holistically and comprehensively as the hypothesis suggests; they do not process information, especially probabilities according to the EU rule; and it poorly predicts results for experiments. Another difficulty is related to the existence and nature of probabilities, and whether they are subjective or objective. Research results tend to agree that many careful, intelligent decision makers do violate some axioms of expected utility theory even upon reflection of their choices (MacCrimmon and Larson 1979). The independence axiom has been shown not to stand up to the data. There are four systematic violations of it: the common consequence effect, the common ratio effect, over sensitivity to small probability changes and the utility evaluation effect (Machina 1985). So the EU model holds only in exceptional cases, with well trained decision makers, for well structured tasks. It is thus worth while to explore the option of considering modification to standard theory. Loomes and Sugden (1981) and Fishbum (1981) have developed alternatives that drop some of the axioms, and Machina (1982) has shown that major concepts and tools of EU do not depend on the independence axiom. Part of the proble: langua, (fried: corntra urns The ris'. provide preferer 0116105 3.21. a damn, Criteria: distribu,z bi the El demOmt: ”1333ng ”lemma “Gm \ quadl’allc Tl‘. Sllch max I" 4.. 39 problem in expected utility hypothesis stems from lack of consensus on how to encode language and context concerning preferences, for investigation. Although some results of empirical work are still consistent with the hypothesis (Friedman and Savage 1948, Tobin 1958), its use in empirical applications continues to be constrained by the need to define suitable utility functions. The knowledge of this is not always available. This has led to a search for other ways to deal with risk in programming. The risk efficiency approach is the most common one taken. Risk efficiency criteria can provide a partial ordering of alternative courses of action for the decision makers whose preferences conform to a specified set of conditions placed on the utility function. The first one to surface was the Mean-Variance criterion. 3.2.1.2 Mean-Variance Analysis The mean-variance (E-V) criterion is based on the proposition that for any two distributions of equal means, a risk avoider will prefer the one with smallest variance. The criterion is not always consistent with the EU model. When decision variables are normally distributed or the distributions differ only by location and scale, the optimal results selected by the E-V and EU will be the same (Meyer 1987). Levy and Markowitz (1979) demonstrated that solutions to the expected utility maximization problems are equivalent to maximization of a linear combination of the mean and variance. This corresponds to the maximization of expected utility of income when either the utility function is quadratic or the random variable is normally distributed. Thus the application of E—V criteria results in a quadratic programming model of the form max Y - d> 0v2 = 2c, X,- - ¢220,,X,X, such that: 2a,, xj s b, (i= 1, ...,m) xj 2 0 for all j rtplzc; ddttr. $th 1 Tl'lCLl. ograr US tr. tse b, 90). l5 at lies h re: ‘1‘. Kit“; 1.3 l at: 40 The objective function maximizes expected total gross margins less a risk aversion parameter (p) times the variance of total gross margins. If the gross margins are normally distributed, a = 2d) the coefficient of absolute risk aversion parameter in the exponential function U(y) = 1- e "3' (Freund 1956). Another formulation is to minimize variance subject to a given level of income (Markowitz 1952). The difference between the two is that solving the first one requires specifying ¢ while in the second, mean income has to be specified. E-V analysis leads to quadratic utility functions which have the theoretical implications of increasing absolute risk aversion to which there are objections (Arrow, 1964). Additionally, empirical work shows that crop yields have negatively skewed distributions such as the gamma or beta (Day 1965) making it difficult to uphold assumption of normality in agricultural production modelling. This has significant implications for the study at hand because yield variability is the major cause of uncertainty. When implementing E-V programming the mean and variance of the population has to be estimated from a sample. This may introduce bias leading to selection of optimal decisions that differ substantially from those based on true population, if distributions of variables are not normal (Chalfant et al 1 990). Levy and Markowitz (1979) have also argued that this criterion is acceptable where risks are small relative to total wealth. Being based on the EU model, the EV criterion carries over some of the same weaknesses. The use of variance as a measure of risk in E-V analysis implies that both low and high returns are undesirable. Yet empirical literature shows that decision makers frequently associate risk with failure to attain a target return (Patrick et a1 1985, Peters and Herrera 1 989) . The mean-semivariance criterion was developed to redress this problem. 3. 2- 1.3 Mean-Semivariance (Lower Partial Moments) Porter (1974) has shown that efficient sets selected using semivariance around the mean are more closely aligned with second degree stochastically dominant efficient sets, than «3 E—V efficient sets. He also showed that when risk efficient sets are calculated about a fixed j fUIICIIt where utility 3.2.1. It is us“ allcmat dominai Pmpct‘ti mm] due to I» 41 fixed point (versus mean) they are consistent with maximizing utility, where the utility function, U(Y), of a random variable Y, is of the form: U(Y) = a + bY + c{(Y-h)2} ifY < h = a + bY if Y > h. where a, b, and c are constants and h is the fixed reference point of Y. This semi-quadratic utility function is consistent with the premise that high returns are not inherently undesirable. 3.2.1.4 Stochastic Dominance Stochastic dominance is a major risk analysis tool in agricultural production studies. It is used independently to select optimal plans, but also to evaluate the robustness of alternative risk analysis criteria. Stochastic dominance permits the elimination of clearly dominated distributions for all decision makers whose utility preferences exhibit certain properties. It uses the whole income distribution, not just the mean and variance. There are several types of stochastic dominance analyses: first and second degree stochastic dominance due to Hadar and Russell (1969) and Hanoch and Levy (1969); third degree stochastic dominance (Whitrnore 1970), stochastic dominance with respect to a function Meyer (1977), and convex set stochastic dominance (Fishburn 1974). Only the first two will be discussed. The first degree stochastic (FSD) ordering rule for two risky cumulative probability distribution functions F(Y) and G(Y) is: F dominates G if and only if F(Y) s G(Y) for all y with a strict inequality at least in one value. FSD imposes the restriction that the utility function must be monotonically increasing, and its first derivative, U’(Y) should be greater than zero. Thus the marginal utility of the maxirnand should be positive. This restriction defines a class of decision makers who prefer more to less income. It can accommodate decision makers characterized by Arrow-Pratt risk aversion parameters varying from negative infinity to positive infinity. However, FSD is limited in its ability to order action choices since most choice sets have few alternatives whose cumulative probabilities functions do not cross . on the maxim decisio PfOtlllCt the mo distrib: ignore: (Anders cornea: the effz. 3.2.1.5 Criterttr Hillel. ll miter: 42 For Second Degree Stochastic Dominance (SSD), an additional restriction is imposed on the utility function that, the second derivative, U”(Y) < 0. The marginal utility of the maximand should be increasing at a decreasing rate. It identifies the class of all risk averse decision makers. The risk aversion parameter can vary from 0 to positive infinity. SSD produces smaller efficient sets than FSD. E-V efficiency is neither a necessary nor sufficient condition for SSD efficiency but the two are equivalent when the utility function is quadratic (Tobin 1958) or all probability distributions are normal allowing the moments of distribution higher than the second to be ignored (Samuelson 1967). Stochastic dominance is consistent with the EU hypothesis (Anderson 1974). Its major limitation is selecting efficient alternatives through a pairwise comparison process, and that FSD and SSD tend not to eliminate many action choices from the efficient set. 3.2.1.5 Minimization of Total Absolute Deviations (MOTAD) The MOTAD, developed by Hazell (1971), is mean-absolute deviations (E-A) criterion which has an important advantage over the EV criterion in that it leads to a linear model. The following utility function is assumed in MOTAD: U(Y) = a + Bx- clY- E(Y)| It minimizes total absolute deviations subject to the usual constraint set and, in addition, subject to a specified mean income level. It is represented as follows: Min Vy‘ Such that: AY s b RY = E (R-R‘)Y + Iy‘ - Iy+ = 0 Y, y‘, y”, 2 0 Chit Smal altra lob, [mes berte: erfor 43 Where: V = l-by-s vector in which each element is 1 and where s is the number of years (observation of states of nature) considered A = m by n matrix of technical co-efficients, where m is the number of constraints and n is the number of activities Y = n by 1 vector of activities b = m by 1 vector of resource levels y+ = s by 1 vector of annual positive income deviations from Y y' = s by 1 vector of annual negative income deviations from Y E = mean income r = a 1 by n vector of expected income for each activity R = an s by 11 matrix of income for each activity R' = an s by 11 matrix consisting of s r vectors I = an s by n identity matrix 0 = a column vector of appropriate length composed of zeros. Hazell, who developed the MOTAD as an alternative to E-V and mean-semivariance criteria, pointed to the advantages of computational ease, the model being linear and requiring smaller matrices. Defining risk as negative deviations also makes the MOTAD criterion more attractive than the E—V criterion since only negative deviations need be minimized. If the EA is an acceptable representation of farmers utility function, MOTAD offers a single alternative to both the quadratic programming of the EV criterion and the semivariance models for all types of gross margin distributions. Also it leads to a linear model of farm plans, making it better adapted for post-optimality analysis. Objections to the MOTAD include the charge that it introduces a lot of estimation error in the variance. But Johnson and Boehlje (1981) have shown that if Y, and Y, are symmetrically distributed with the same means: and density functions F,(Y) and F,(Y) are such that F,(Y) 2 F,(Y) everywhere in the region u—d< Y < u+d with at least a strict inequality in one interval in the region, and else where F,(Y) > F,(Y) then F,(Y) will have smaller variances and smaller MOTAD variance estimates. Thus the MOTAD may introduce varia MOT lete it is theo line porn 3.2 10 n taco SCH} llbet The Max: SUE}: 44 variance error but the ranking of prospects by quadratic programming will be the same as by MOTAD. The MOTAD model does not have direct linkages to the EU. But since it was developed as an alternative to the E-V criterion which has EU model theoretical foundations, it is thought to carry over the weaknesses of EU model (Boisvert 1988, 1990). Recent theoretical developments indicate that MOTAD can be improved to bring its results more in line with other acceptable decision criteria. For example, comparing or calculating risk from points (means) that are not equal is misleading. Watts et a1 (1984) have shown how MOTAD can fail to discriminate between two choices where one is clearly dominated using SSD or the Target MOTAD. Hazel] himself acknowledged that the MOTAD "can not be rigorously justified as a substitute of quadratic programming in deriving E-V plans" (Hazell 1971). 3. 2.1. 6 Target Minimization of Total Absolute Deviations Target MOTAD due to Tauer (1983) is a negative absolute deviation model. It seeks to maximize expected returns while making sure the sum of negative deviations from a target income level is kept below a specified minimum. It contains some elements of the mean- semivariance and MOTAD. The following utility function is assumed: U(Y)=a+bY+cl(Y-h)| ifY h where U(Y),Y, a, b, c and h are defined as before. The model is represented as follows: Maximize RY subjectto: AY0 vy’-d=0 Y,y’>0 45 Where: q = s by 1 vector in which all elements equal a fixed target of the random variable of interest; 5 d = the maximum acceptable total negative income deviations from the target; y- = is an s by 1 vector of annual negative deviations from the target and all others defined as above. The target MOTAD frontier is developed by parameterizing d. Minimizing negative deviation from a target is more congruent with 1) actual behavior of decision makers, 2) Von Neumann-Morgenstem utility functions, and 3) stochastic dominance relationships [Fishburn (1977), Holthausen (1981) and Porter (1974)]. Target MOTAD improves on the MOTAD by increasing the discriminatory power through using a target rather than the mean as a reference point for risk. It also uses a criterion that is more consistent with reality, i.e negative returns are the measure of risk. The E-V and MOTAD imply that the only way to reduce risks is to reduce income. Target MOTAD does better on this. One disadvantage of Target MOTAD is that the both of the attributes being parameterized are in the constraint set and so may require more time and resources . 3. 2.1. 7 The Safety First Approach Safety first is defined as behavior in which the probability of failing to achieve farmer goals impacts and constrains the activities undertaken (Atwood 1988). It is more a way of defining risk than a method of risk analysis. However once risk is defined in safety first concepts, it has operational implications for the specification of risk models used. Various specifications of the safety first behavior are available but all are concerned with the probability of failing to achieve farmer goals. The probability of concern is expressed as: Pr( Y < g ) < p where Y is a random variable like income, g is a given goal of the firm, and Pr(.) is the probability of the prospect, and p is upper limit on probability. 46 Examples of the safety first criterion are: a) Min Pr (Y < g) [Roy (1952)] b) Max E(Y) subject to Pr ( Y < g ) < p [Telser( 1955)] c) Max Y subject to Pr ( Y < g ) < p [Kataoka (1963)] where E(Y) is expected income, Y is income and g is the goal, usually the lower limit or disaster level of income. Chance constraints were initially used to deal with random coefficients in the constraint set (Chames and Cooper 1959). Imposing safety first chance constraints in optimization models can be difficult if the income distribution is non-normal. An alternative is to translate the probablistic constraint into a deterministic equivalent constraint. This is difficult if the random variable is endogenously determined in the model (Sengupta 1969). Another approach utilizes the assumption of a multivariate normal distribution and the ability to generate a E-V set of solutions (Pyle and Tumovsky (1970). Musser (1981) employed the assumption of normal distribution of the stochastic variable to use the expected gain-lower confidence limit criteria due to Baumol (1963) to implement a safety first model. These methods require knowledge of the cumulative or probability density functions of the stochastic variable. This knowledge is frequently not available. The use of a stochastic inequality to impose safety first probablistic constraints has been considered by several authors, e. g. Anderson, Dillon and Hardaker (1977); Sengupta (1969); Berck and Hihn(1982). The first two used a Chebychev-type inequality to calculate the upper limits on probability of failure. The inequality is: Pr(IY-p|> k0) < 1/1c2 where Y is a random variableu is the mean, k is some constant and a is the standard deviation. It states that with any probability density function the probability of a random variable Y falling more than k standard errors from the mean u, is less than the inverse of k2. If the distribution is symmetric, a modified version is used Pr(Y < ,i - ka) < 1/2k2 47 The upper limits so derived using Chebychev-type inequalities are generally overestimates which lead to selecting a more conservative activity mix than is necessary when imposed in optimizing models. Also, being nonlinear, they can be quite difficult to implement. Berck and Hihn (1982) introduced an inequality which offers the potential to provide less conservative probability limits than the Chebychev inequality if the population is asymmetrical. This inequality is: Pr(Y < u-—m¢r)<1/m2 where m is some specified reference point. 3.3 Telser’s Safety First Probablistic Criterion in Target MOTAD Atwood (1985) and Atwood et a1 (1985) adapted this inequality to improve safety first probability limits. The following inequality was used: Pr[Z < t- LQ(a,t)] < 1/L“ Q(a.t) = E(t-Z)“ fir fi = probability density of Z, the random variable, in state i t = reference level or target below which deviations are measured a = some constant L = probability limit If a = 1, Q(a,t) becomes a linear lower partial moment (LPM) and the equation above becomes: Pr[Y < t- LQ(t)] < 1/L Atwood later illustrated how enforcing a sufficiency condition in a Target MOTAD model guarantees that the inequality is satisfied (Atwood et al 1988). The sufficiency condition is: t— L‘Q(t) > g where: t = target income endogenously selected, and 48 g = goal of the firm or farm Q(t) = is sum of deviations measured from t; and L* = l/L, the reciprocal of the probability limit This particular version of the sufficiency condition corresponds to Telser’s safety first criterion. The Target MOTAD with Telser’s safety first criterion can be represented as follows: max RY subject to: AY < b 3.3(a) R+Iy'+q20 3.3(b) vy‘ - Q(t) = 0 3.3(c) t- L'Q(t) 2 g 3.3(d) Y, y' 2 0 (All parameters and variables defined as before.) This method will select the activity mix which optimizes the choice variable while simultaneously enforcing probabilistic constraints upon the deviations of income from the optimal expected income with the least constraining LPM stochastic inequality. The method differs from the plain Target MOTAD in two main ways. First, the target, t, is no longer the same as the goal, but it is set endogenously by the algorithm at a level which satisfies the sufficiency condition, t - L*Q(t) 2 g. Simultaneously, 3.3(b) and 3.3(c) compute the corresponding weighted deviations. If the sufficiency condition is constraining, the level of t selected will correspond to the least constraining LPM possible. This is the same as selecting the least constraining LPM from the set of LPMs for which t - L*Q(t) 2 g. Atwood’s LPM method is superior to the plain Target MOTAD with respect to the level of difficulty in making a prior determination of some parameters. While the plain Target MOTAD requires selecting a target for the choice variable and setting an upper limit on deviations, with Atwood’s method, the modeler must choose the goal and level of 49 probability limit. Making these choices reduces the set of target incomes and expected deviation levels to be considered because the algorithm selects the target (McCamley and Kliebenstein 1985). Also, the goal and probability limit can be set more objectively than a target income or minimum deviations. Imposing a safety first constraint does not reduce the number of questions to be answered, but the questions may be easier to answer. In addition, the method will not always find the solution that maximizes expected income subject to the upper limit on probability. It may fail because the safety first constraint involves a trade-off between a target level and expected deviations from that target. Another weakness of the model is that if the decision maker is concerned only about the probability of below goal incomes, and not the magnitude of the deviations, then a different approach would be appropriate. 3.4 Conclusion Target MOTAD with Telser’s safety first probabilistic criterion using Atwood’s LPM is selected for this study because it mixes the desirable elements of several decision criteria, viz: the safety first concept of risk and measuring risk as negative deviations from a target. Also, Atwood’s LPM does not require the knowledge of the mean or variance of distributions. This is advantageous in this study because the assumption of normality may be difficult to uphold. Because it is a linear model, it is easier to implement, and its dual information has full decision making interpretation unlike those of quadratic models. CHAPTER 4: DATA COLLECTION Data collection activities for this study began at the end of September 1992. A survey was conducted between November 1992 and February 1994. The data sought included labor available to households and allocation to crop production activities, use of land and size of gardens. Several government offices were contacted to prepare for the survey and get useful secondary data. The Department of Irrigation (DI) and the Blantyre Agricultural Development Division (BLADD) management were most important in this regard. 4.1 Selection of Study Area The study was conducted in Chiradzulu North Extension Planning Area (EPA) of BLADD. This is an area in the Southern Region of Malawi, part of the Shire Highlands. (See Figure 2.1). This EPA was selected for several reasons: a) It has a high percentage of farm households with small land holdings compared to other regions of the country, and these are the households most in need of intensive agriculture. , b) It has topographical and hydrological resources that will permit irrigation. c) Prior food security studies have been conducted in the EPA and an adjacent EPA, Zomba South (Center for Social Research 1990 and Peters and Herrera 1989, 1992) which makes it easier to design the study and validate results. (I) The researcher is familiar with the area. 4.2 Sampling We had initially decided to interview those households with dimba gardens in the EPA who had been sampled in the Market Liberalization Study carried out by the Center for Social Research, University of Malawi. Their sample was a random one and as a result there were very few households with dimba gardens. To get enough households with dimba gardens in 50 51 the EPA we resorted to purposive sampling. This was done with the help of the field assistants in the EPA, each of whom is responsible for a section. The field assistants were asked to furnish lists of farmers who had dimba land. However, the numbers were not sufficient to perform stratified random sampling, so it was decided to interview all those farmers with dimba land in order to meet the sample requirements. The households were divided amongst the enumerators who interviewed enough farmers to fill the quota for a section. Where present the heads of households were interviewed. In a few cases arrangements had to be made for a visit. A total of 270 household heads were interviewed, 19.7% of which were female. Several studies show gender to be strongly related to food security variables (Msukwa 1990, Chipande 1987, Peters and Herrera 1889). The proportion of female headed households in this particular area is 30% to 40% (Malawi Government 1981). Although the aim was to stratify the survey sample accordingly, it appears that the share of female headed households among farmers with dimba land is considerably less than 30%. 4.3 The Questionnaires A structured questionnaire was used to collect data consistent with the objectives of the study. It had three parts: the household questionnaire; the enterprise questionnaire; and the garden measurement sheet (see Appendix B). In all cases the respondent was the head of household or spouse. The household questionnaire contained sections on labor availability, patterns of land use, use of credit and extension credit services and food security strategies. It also included open ended questions on willingness to participate in and pay for irrigation. The enterprise questionnaire was administered for every plot‘5 of land on which there was a different crop mixture. Thus, several enterprise questionnaires could be administered for a parcel of land. The information collected through this questionnaire included: labor use 6 In this study a plot is defined as a piece of land with same the crop mixture. A parcel is a contiguous piece of land which may have several plots. In some cases a plot and parcel may be the same. 52 for the various activities on the plot, quantity of inputs used, (such as pesticides and fertilizer), crops grown, quantity harvested and sold, and sale prices. The garden measurement sheet was used to calculate area of the plots. Since most of the gardens are polygons, the length and angles for each side were recorded. Total area was computed using calculators which were programmed with a triangulation algorithm. 4.4 Preparation for the Survey Four enumerators and four enumerators’ assistants were hired. The hiring criteria were experience in collecting survey data and good pass grades in mathematics, English and agriculture at 0-levels. Enumerators went through a three-week training period, the propose of which was to: a) acquaint them with the overall objectives of the study; b) explain the role of an enumerator in a survey; c) explain how to conduct a good interview; (1) communicate the purpose of each question in the questionnaire; e) explain how to record responses to questions. Draft questionnaires were prepared with the help of faculty and colleagues at the Center for Social Research. The draft questionnaires were used for mock interviews during the training of enumerators. Pretesting these questionnaires gave an opportunity to gauge the clarity of concepts in the local language as well as providing more interviewing experience to the enumerators. Three field tests were done. After each test, ambiguous questions were reviewed. The major criteria for keeping or revising questions were as follows: a) Does the question elicit the needed information? b) Will the respondent understand the question? c) Will the respondent know the answer? (1) Will the respondent reveal the answer? (Casley and Lury 1981) 53 Preparing enumerators for measuring gardens took one week of training in reading bearings and taking land measurements. This was done in a second visit after the household survey was completed. Although enumerators were very familiar with the arithmetic processes involved, the physical implementation is a meticulous exercise. A closing gap error of 5 % was the maximum accepted in making computations. 4.5 The Survey By December all the instruments for the study were ready. Each household was visited at least twice. The first time was to complete the household questionnaire, and the second time to measure the parcels or plots of land. In some cases, measuring the gardens took more than one day if the household had many plots or if they were far apart. Each enumerator interviewed 2 to 3 heads of households in a day. The household survey took 40 working days to complete. The measuring of gardens was the most difficult job of the survey. Torrential rains made it difficult to measure the gardens because of flooding. This was especially difficult for dimba gardens where in some cases water was knee high. A second problem was to get the farmers to reveal all of their gardens. Some were suspicious that enumerators were government agents trying to confiscate their land. Others, by then convinced that enumerators were not government agents, revealed more plots for which additional enterprise sheets had to be completed. 4.6 Secondary Data Collection Secondary data collection was necessary to supplement the data collected through the farmer survey. This was particularly important to gather information on yields of irrigated crops and the techniques used for irrigation. Extensive discussions were held with groups of farmers at Mchenga and Diamphwe irrigation projects and their extension workers, as well as senior officers in the Department of 54 Irrigation and the Land Husbandry section of Lilongwe ADD. This was done to get information on: - crop yields for irrigated crops not currently grown by farmers practicing rainfed agriculture - suitable crop combinations for proposed irrigation technologies - input cost and labor requirements of these crops - costs and serviceability of some of the irrigation technology - limitations and expected problems with technologies - organizational arrangements for multifamily irrigation projects A visit was made to the pilot sprinkler irrigation projects in Lilongwe district. Information collected included experience in organizing for the project (e. g. land re- allocation, set-up logistical problems, marketing of produce, operation of equipment). The investigator’s experience of supervising a nutrition survey in an irrigated rice growing area, Bundi, in Karonga district also proved to be beneficial. This gave some perspective on farmers’ problems in running communal irrigation schemes. This area has both government- assisted and self-help schemes. In Zomba, there is an irrigated vegetable garden which offered an opportunity to learn of the tank/furrow irrigation method. 4.7 Summary This chapter describes the planning and implementation of the survey that provides the data for this study. Information was collected from households using structured questionnaires for interviews and measurement of gardens. Sampling of households was purposive to get households with dimba land. Secondary data sources were used to supplement the farmer survey mostly with data for yields of crops not currently grown with irrigation. Other data included types of irrigation techniques and their costs. CHAPTER 5: CHARACTERISTICS OF SURVEY HOUSEHOLDS This chapter describes survey households, using variables of immediate concern to the study. These include size of farms; cropping patterns and yields; use of inputs and hired labor, food security strategies and willingness to participate and pay for irrigation. They are extensively compared and contrasted with the findings of other agricultural household studies conducted in the area. 5.1. Household Characteristics 5.1.1 Social and Demographic Characteristics The major socio-demographic characteristics of households are presented in Table 5.1. Among the 270 households interviewed, 53 (19.7%) are female headed. This is below the nearly 40% average proportion of female headed households in Blantyre ADD. Since the survey was a census of households with dimba land in the area, this result implies that the proportion of female headed households with dimba land is less than in the general population. Fifty two percent of the heads of households can be considered literate: having four or more years of formal schooling. The Center for Social Research (1990) reported a proportion of 48% for this datum, for 1990 in this area. The mean household size is 4.8, ranging from 1 to 12. The median size is 5, and 75% of households have 6 or less people. There is an association between size of landholding and size of households. At the mean of 5, medium and large farms have one more person than the small farms. 5.1.2 Size and Distribution of Land Holdings The distribution of households into the three categories of landholding (small, medium and large) is 16.3%, 36.3% and 47.4% (Table 5.1). This compares with 57.4%, 31.6%, and 11.0% respectively for Blantyre ADD from the National Sample Survey of Agriculture results 55 56 (NSSA 1981). It appears that farmers targeted for this study, those with dimba land, have larger landholdings. Table 5.1 Socio—Economic Characteristics of Households by Size of Landholding — Size of Iandholding(Hectare) Household Characteristics , Small Medium Large All <0.7ha >0.7- >1.49ha Farms 1.49ha Sample Size 44 98 128 270 (16.3%) (36.3%) (47.4%) (100%) Female-headed 9 22 22 53 Male-headed 34 77 105 217 Size of Household(Mean) 4.2 4.7 5.2 4.8 Education(% literate >3 years of school) 62.8% 57.6% 45% 52% — _ Source: Survey Data 1993 In Table 5.2 are displayed data on size of farms. The mean size of total land holdings was 1.7 hectares. Means are 0.46, 1.12, and 2.49 for the three farm sizes. The overall mean size of rainfed land was 1.5 ha and for dimba land 0.24 ha. Land holdings are usually fragmented into several parcels of land. The median number of parcels of land was 2, ranging from 1 to 5. The median number of enterprises was 3. At the mean of 2.9 parcels, small farms have more fragmented land holdings than medium or large farms, both categories having 2.4 parcels. But they have fewer enterprises, 2.4 compared 2.7 or 3.2. These statistics are significantly different at the 5 % level. The production significance of this fragmentation of land is linked to reducing risk of potential losses from localized environmental, pest or other adverse conditions, and of exploiting variable eco-niches suited to different crops (Ellis 1988, Peters and Herrera 1989). Some crops do well in dimba soils, others on high ground. For example pumpkin plants last longer if grown on extinct anthills. 57 Table 5.2 Size (Hectares) and Distribution of Land Holdings of Households Cultivated Area Small Medium Large All Survey Size 44 98 128 270 Total Land Mean 0.45 1.12 2.57 1.70 Median 0.45 1.10 2.32 1.45 Std. dev. 0.13 0.22 1.00 1.11 Rainfed Land Mean 0.40 0.98 2.24 1.51 Median 0.39 0.94 2.00 1.25 Std. dev. 0.17 0.24 0.99 1.07 Dimba Land Mean 0.13 0.17 0.33 0.24 Median 0.09 0.12 0.21 0.14 Std. dev. 0.12 0.16 0.36 0.29 Rainfed Maize Land Mean 0.39 0.90 1.58 1.16 Median 0.39 0.89 1.50 1.02 Std. dev. 0.12 0.29 0.74 0.70 No. of parcels (mean) 2.9 2.4 2.4 2.5 No. of enterprises (mean) 2.4 2.7 3.2 2.9 Source: Survey Data 1993 These data show that survey households have more land than is the case in the Blantyre ADD. The larger mean land holding is likely because only households with dimba were included. Dimba land is prime land which not all households have access to. Only 58 those who have lived in the area for a long time and have familial ties to the chief and clan heads are likely to have this land, and more of rainfcd land. However, Blantyre ADD, and particular Chiradzulu district, is an area with the highest concentration of near landless farmers. For example, 35.2% of all the nation’s households with less titan 0.7 ha of land are in Blantyre ADD, yet the latter has 24% of all households in Malawi (Center for Social for Research/NSSA 1988, Malawi Government 1984). It is these farmers who need intensive cultivation methods to make good use of their limited land. Medium and large farms have on average one more person than small farms. These statistics agree with the findings of earlier studies in this part of Malawi. For example, Chipande (1987) reported that a higher proportion of men in small or near landless households migrate in search of paid employment. Additionally, a large proportion of female headed households are characteristically short of one male adult, being either never married or divorced. Peters and Herrera (1989) also concluded that ’land holds men’, p. 52. 5 .2 Farm Characteristics 5. 2.1 Cropping Patterns The survey households have a total of 395 rainfed hectares of land and 59 hectares of dimba land. The most dominant crop mixtures according to frequency and area planted, on both land types are shown in Tables 5.3 and 5.4. A total of 785 enterprises were surveyed for the 270 households. Of these, 385 (49%) are rainfed enterprises and 403 (51%) dimba enterprises. An enterprise was identified by asking farmers to name up to three of the most important crops grown on a plot of land. There is a wide variety of crop mixtures planted in the area. For rainfed land, 28 enterprises were identified. However, only 8 were grown on more than 2% of the plots, and these 8 accounted for 90% of the plots of land. Table 5.3 lists crop mixtures grown on more than 2 % of plots. The most common crop (mixtures) are maize/beans, peas, maize/beans/pigeon peas, maize alone, and maize/beans/groundnuts for 59 Table 5.3 Most Dominant Crop Mixturesa Rainfed Crops % Dimba Crop % Maize/Beans 32.6 Sugarcane 24. 1 Peas 23.5 Maize 12.2 Maize/Beans/Pigeon peas 10.1 Tomato 9.7 Maize 6 . 7 Cabbage 7 .9 Maize/Beans/Groundnuts 4.4 Chinese cabbage 5.5 Maize/Pigeon peas 3.1 Peas 4.0 Maize/Peas 3.1 Rape 3.0 Maize/Pigeon peas/Groundnuts 2.1 Tomato/peas 2.5 a/ grown on more than 2% of plots rainfed land. Because of the way that enterprises were defined, it is highly probable that the maize/beans combination has some pigeon peas or groundnuts but farmers did not feel that these were important enough crops to mention. Also, the maize/peas mixture may actually be maize followed by peas. Maize based mixtures make up 80% of all rainfed enterprises. For dimba enterprises, 47 crop mixtures were identified. Eighteen of these were grown on more than 2% of plots and made up for 89% of the dimba plots of land. In dimba gardens farmers mostly grow sugarcane, maize, tomatoes, and cabbage. Chinese cabbage is similar to rape or mustard greens, and these crop mixtures together are grown on 10.6% of dimba plots. Similarly, tomato mixtures are grown on 15.6% of all dimba plots. These findings are similar to those of Peters and Herrera (1989) who reported maize, beans and pigeon peas as the most important crops of the area. Due to small representation of dimba plots in their sample, sugarcane, tomato, cabbage and other leafy vegetables do not feature prominently in their results. Multiple cropping and intercropping are important agricultural practices in the study area. (Multiple cropping is used to refer to cases where crops are grown sequentially on a 60 Table 5.4 Most Important Enterprises by Area (Hectares) Covered Enterprise , No. of % Area Mean Min Max Hectares Covered Rainfed Area 395 87% 1.51 0.13 5.80 Dimba Area 59 13% 0.24 0.01 2.05 Rainfed Entegprises (5 % and above) Maize/Beans 141.00 35.7% 1.12 0.19 3.88 Peas 91.40 23.5% 1.00 0.09 3.11 Maize 30.25 7.7% 1.16 0.26 2.75 Maize/Beans/Pigeon Peas 40.50 10.3% 1.06 0.28 2.90 Maize/Beans/Groundnuts 19.62 5.0 % 1 .22 0.23 2.45 Dimba Enterprises (3% and above) Sugarcane 22.43 38.0% 0.23 0.02 1.49 Maize 5.56 9.4% O. 12 0.04 0.51 Cabbage 4.54 7.7% 0.14 0.01 0.53 Tomato 4.13 7.0% 0.11 0.01 0.51 Maize/Beans 1.95 3.3% 0.32 0.03 0.95 Source: Survey Data 1993 piece of land in one cropping season. Intercropping is used to refer to cases where crops are cultivated concurrently.) Only 32% of dimba enterprises were intercropped and this was 65 % for rainfed enterprises. Eighty-two percent of all parcels of land were either multiple cropped or intercropped. Peters and Herrera (1989) reported that 71% of all the plots in their sample were intercropped. The difference may be due to a low representation of dimba gardens, which in their sample indicates 13%, compared to 51% in our sample. It is in dimba gardens that farmers mostly practice monocropping. 61 5.2.2 Estimating Yields Yields for four harvests prior to the survey were estimated from recall data. They are reported in Tables 5.5 and 5 .6. A clear pattern emerges. All crops yielded poorly in 1992 because of drought. It is difficult to assess the reliability of yield data because there are very few crops for which farm based yields exist. Government documents tend to report average yields for a particular crop. The best are those of maize. The comparison for maize is shown in Table 5.7. The yield of beans depends on the plant population and the planting patterns. If planted in the same hill as maize, the yields are generally lower. The decision to plant on the same hill or not depends on the variety. Climbing varieties are usually planted in the same station as maize so that maize plants provide support. Assuming the same planting station, yields ranging from 41 kg to 235 kg have been reported (Jere 1990). The survey results are within this range. 5.2.3 Family Labor Available and Use An estimate was made of total family labor available, and its allocation to farm enterprises. These estimates are used in formulating enterprise budgets and technical coefficients that are used for programming. Family labor available to a household for its farm activities depends on the number of adults and the amount of time they are available to work in the gardens. Labor allocated to various enterprise is reported in Table 5.8. It is possible to check these data in the case of maize-based crop mixtures against ARU data as shown in Table 5.9. The comparison is very good except in a case of land preparation where the survey results are very high. Jere (1990) has suggested caution in using these ARU data. Since farm workers were under observation, they may have worked faster. The differences between ARU and the survey data may be due to the different method used to collect them in the two studies. The ARU used observation, while in this study the 62 recall method was used. Farmers were asked how many people performed a production activity, and for how many days and hours per day. Land preparation takes a long time (mode number of days is 30), and when written records are not kept, farmers may have reported general estimates. This may also be the case for labor use for irrigation, although there is no data to compare with. The figures on planting and fertilizing are lower in the survey results. 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E BEBE eoz HEZ B BNEETE a 5 ame— 33 ”a." man; :86 $3 $5. 0:; RE 33 «3.2 EX 9%.: RS 82.: asap unease EN; $3 3; man." :3." 33 Ed $3 9.3 $3: :3 Sea can 25.2 33 98.2 at“: 885 $5 33 £3 33 Sum an." .3... «an; an? 83 $3 $2: :3 an? :3 33 285 e3... .1 5... .1 a8... .1 S3 1. as.” $3 82 1. an; .8835 en..— Sm... :3 fine 8..." as.» 3.3 2.5. 83 Sm.» omen E? 3mm 33 SE. 83 0326 E2 .5 E2 E E2 E E2 an new 82 82 82 $2 see: recess 85 365 co 8.»; EB: e5 an: en 23. 65 Table 5.7 Comparing Local Variety Maize Yields (Mean kg per ha) with Other Reports Source Yields Year Fertilized Unfertilized All Survey Data 1992 579 292 ---- 1991 1,051 488 ---- 1990 1,100 713 ---- 1989 1 ,232 789 ---- Smale 1990 1,200 700 ---- BLADD 1991 -—- --- 726 ARU 1989 1 ,859 ---- —--- GTAPM several --—- ---- 800-1 ,200 Note: BLADD = Blantyre Agricultural Development Division ARU = Adaptive Research Unit GTAPM = "Guide to Agricultural Production in Malawi (1992) Source: Survey Data l993/Guide to Agricultural Production in Malawi 1992 66 82 5234 E 5:885 REE—8:32 9 025932 San >955 “088m cozfimaoi 98:— " moi was ... Gm 33 8v SN 23 8&3 59553.“: as 2 m aim 8m a8 83 09256 08:20 m2 we :3 N3 9: 33 as: £85 83 m3; 9% am om: 29:3 m2 RN 3 E Sm 883% 8» R 93 EN n: as; owsfiu mm 3 R n: 30E BEE : E mm SN 3 m3. a:€§8928m§§ we 8 3m 3 8m 30E cooméasefiaz 2 mm § 2 wan 0%: a E i a: pm Sm 888832 mutant“: mENonm cotawt: 9.633 9555 38m 984 8:98?"— Aflsonéofiom agave wear—905m n80 o. @2822 .823 338m ad 035. 67 Table 5.9 Comparison of Labor Allocation to Maize/Beans Crop Mixture (Person-hours) Farm Operation Ridging Planting Fertilizing Weeding Harvesting Total labor required ARU 1 7O 63 84 170 76 463 Own Survey (Median) 301 37 51 169 95 653 1/ Source: Blackie MJ. (1989) 68 5. 2.4 Production Expenses 5. 2. 4.1. Hired Labor Expenses Farm production need not be constrained by the availability of family labor is casual labor is available for hire. Forty percent of households in the sample hired some labor and nearly all of it was used on maize. The mean for only those who hired labor is 351 person hours, and out of this an average of 312 was used on maize. The total amount hired increases on average with land holding size. However, when the data are put on a per hectare basis, the smaller households hire significantly more labor. This may be due to the fact that a large minority of those who have small land holdings are employed so that they have to hire labor (see Table 5.12). On an enterprise basis, the survey results on hired labor (Table 5.10) indicate that it is mostly used on maize-based fertilized crop mixtures. The total amount of labor hired for these crop mixtures is shown in Table 5.11. Labor is hired mostly for land preparation and weeding. Expenses for hired labor were estimated to be on average MK42.3, based on an assumed wage rate of MKO.25. If lower wage rates are used7, the estimate may be close to that reported by Peters and Herrera (1989). They reported that 40% of their sample households had hired labor, and a modicum of expenses for hired labor: MK2.99, MK8.51, and MK34.00 for three categories of farmers respectively. Smale (1991) reported an overall mean hired labor expenses of MK14 per year in BLADD. 5. 2.4.2 Fertilizer Expenses Eighty-one percent of the households used some fertilizer. The proportion of households using fertilizer varies from 67.4% in the smallest land holdings to 75.8% in the 7 The actual wage rates used are not well established empirically. In this study we used sensitivity analysis to assess the impact of lower wages on returns to farming activities. 69 medium category to 89% for the largest land holdings. These figures compare well with the findings of the Center for Social Research of 72% for 1990 in Chiradzulu North EPA. On average, 147 kg of fertilizer was used on all crops. Most fertilizers cost MK1.00 per kg. The total amount used varies from 25 kg to 1,725 kg and increases with landholding size. Seventy-eight percent of households used fertilizer on maize in the 1991/92 cropping season, applying an average of 132 kg. Of the dimba plots, 29% had some fertilizer applied to them, and this was 55% for rainfed enterprises. Although many dimba plots were fertilized, only two enterprises were fertilized by more than 10 farmers: cabbage and chinese cabbage. They applied a mean of 82 kg per ha and 48 kg per ha of fertilizers respectively. The four major maize-based mixture crops had fertilizer applied to them in varying quantities. These levels of fertilizer use are reflected in the yields of the enterprises: maize/beans/pigeon peas having the highest yields and fertilizer application. See Table 5.12 and refer to Table 5.5. 70 NS: 5252 5 5:52:55 E§3Ew< 9 523333 Sun 53am 583m : 5:55: 5 mm 2 a 8 .2 G SN 5 mm vw wv vw he mg a: l- N: 5 1. mg l- mam l- v 3 ov me. o: N 9» com o hm 55:5": 5:503 l- on l- 8: 1. am: .1 C Om c: Om vw mm 2: v S 1. no: 1. 0mm .1 mwm l- m l- ow l- ova l- aNN 3 l- Vm .1 com .1 m—N l- m C: on vu m3 mm 5N w am 5:55 555 :51— b_>:o< 55255 580 >535 5:52 552 €5505m=m >25ch 5:52 552 8555 5:55 >5:ch 5:52 552 3555529558352 >5:ch 5:52 552 3555 :oow5\5om\oa_m2 >53 5:52 552 @832 >535 5:52 552 A5 55.55552 3:955 505 53:3. 55255 no.0 E omteofim .3 352.cofi5v 85.: “5.55 no 8: o_.m 25,—. 71 Table 5.11 Hired Labor (Person-hours) by Cr0p Enterprise Total Per hectare Crop Na Mean Std. Dev. Mean Std. Dev. Maize/Beans 42 497 (422) 286 (302) Maize 6 374 (324) 203 (167) Maize/Beans/Pigeon Peas 20 407 (470) 385 (397) Maize/Beans/Gnuts 7 574 (438) 285 ( 177) Rainfed Peas 23 147 (107) 73 (64) Sugarcane 19 203 (291) 101 (103) a! N = number of households who actually hired labor for at least one crop production activity Source: Survey Data l993/Guide to Agricultural Production in Malawi 1992 - i 72 Table 5.12 Use of Fertilizer kg/ha by Crop Enterprise and Size of Farm Small Medium Large All Maize/Beans #‘ Applying 8 37 63 108 Mean 119 155 157 154 Std. Dev. 117 103 86 94 Maize # Applying 1 5 11 17 Mean 100 108 157 138 Std. Dev. --- 68 133 113 Maize/Beans/P. Peas # Applying 4 13 12 29 Mean 175 288 198 235 Std. Dev. 96 445 147 311 Maize/Beans/Gnuts # Applying 4 3 8 15 Mean 131 192 188 173 Std. Dev. 63 52 88 76 Cabbage ‘ # Applying 3 10 6 19 Mean 187 69 54 82 Std. Dev. 271 50 62 113 Chinese Cabbage # Applying 9 3 5 10 Mean 44 27 63 48 Std. Dev. ? 22 48 38 l/ I! = number Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 73 5. 2. 4. 3 Pesticides Expenses Many farmers said pests were a major constraint to growing dimba crops. One-third of farmers used pesticides in small quantities on 99 (12.6% of total) crop enterprises. They were applied mostly to dimba crops: cabbage, chinese cabbage, tomato, and rape. The most commonly used pesticides were DDT (43.4%), Actellic (36.45), and Malathion (10%). Other types included Copper, Sevin, Diamethoate 45, and Ripcord. The expenses are shown in current enterprise budgets in Tables in Appendix A. 5.3. Income Generating Activities and Off-Own Farm Employment Income generating and off-farm employment activities are important sources of income for many smallholder families. In this study they are also important because they can provide competition for irrigated cultivation, with either positive or negative effects. Income generating activities (IGAs) are self employment jobs in trades like commodity trading, brick- making or basket weaving. (In later chapters another term, income earning activities (IRA), is introduced which refers to all non-farm income generating activities including wage employment.) Farming their own gardens is considered the main occupation8 by 71.5% of the heads of households. Nearly 6% were employed outside the agricultural sector, 2.2% were agricultural workers, and 6% did some IGAs. Overall, 13.8% said that farming their own gardens was not a primary source of livelihood. lGAs were part of or the only source of livelihood for 11.5% for the households. The Center for Social Research (1990) had similar findings; 72.9% of the heads of households relied on farming. However, a higher proportion, 16% , were in non-agricultural employment. The importance of off-farm incomes varies inversely with size of land holding. Twice the proportion of households (27%) in the smallest landholding category as in the larger two said farming was not a main occupation. The results tally with findings of other studies 3 OcCupation was defined as main source of livelihood. 74 which indicate negative relationship between land holding sizes and non-farm income generating activities. A shortage of land is associated with the allocation of men’s time to off farm activities. Men in the smallest land holdings (under one hectare) allocate far more of their time to retailing (fish or agricultural products), and wage employment (Peters and Herrera 1989, p. 52). Peters and Herrera (1989) also reported that on average 40% of their sample households income came from off-farm sources. Chipande (1987) conducted a study in Phalombe, a project adjacent to the one where this study was conducted. He found a greater tendency for men in households with smaller landholding to seek paid employment on estates or the nearby urban centers. The preponderance of off-farm sources of income in this area reflects the configuration of opportunities available to earn a living. There have been quotas or prohibitions on growing some high value crops such as tobacco. This, together with low gross margins of crops currently grown and proximity to a major urban center of Limbe— Blantyre, have made off-farm sources of income very attractive. This is in contrast to the situation in other parts of Malawi. Farmers’ cash-generating activities are mostly selling livestock, selling non-maize crops, and remittances from away household members (Smale 1990, p. 5, Center for Social Research 1988, p. 121). Thus farmers in the study area could be termed part-time farmers. The principal objective for many of these farmers is to assure a relatively cheap food supply, while generating income from off-farm activities (Smale 1990 p. 6). It may also be the case that farming is underwritten by incoming transfers, either from members of the family working elsewhere on a permanent basis or living in the same household. Seventy-one percent of household heads said they had some slack months in the agricultural calendar, and during these months 44 % of these engaged in some kind of income generating activity. No detailed data was collected on nature of IGAs except incomes made. These ranged from MKS to MKSOO per month, with a mean of MK101. These figures are very high but since they are seasonal, per annum earnings are very low. 75 Table 5.13 Main Occupation of Household Heads Main Occupation Percent Farming 71.5 Non—Agricultural Employment 5.6 Agricultural Worker 2.2 Income Generating Activities 6.0 Farming and Ganyu 4.5 Farming and Non-Agric. Employment 2.6 Farming and IGAs 5.9 All Occupations 100.0 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 Table 5.14 Proportion of Farm Households Engaged in Non-Farm Work by Farm Size Small Medium Large All Farms Engaged in IGAs 14% 9.1% 12.6% 11.5% Off-Own Farm Occupation 27% 12% 14% 16.7% Source: Survey Data l993/Guide to Agricultural Production in Malawi 1992 76 5.4 Maize Production and Food Security In this section data are presented and discussed with respect to food security situation of households. The emphasis is on strategies to acquire food. 5. 4. 1 Maize Harvests Mean total rainfed maize harvests for the four years prior to the survey (1988/89, 1989/90, 1990/91, and 1991/92) are reported in Table 5.15. They were 1,021, 1,031, 928, and 463 kilograms respectively. We would expect these to be generally higher than the i harvests in the general smallholder farming population are because most of our sample used 5‘ fertilizer and have larger land holdings. For example, in 1990, the Center for Social Research estimated mean rainfed maize harvests of 476 kg. The sample had more households with smaller farms. In addition, 1990 was a year of devastating floods. Peters and Herrera (1989) estimated an average maize harvest of 882 kg for 1986/87 cropping season. The size of farms in their study are comparable to this one. On average the survey households are maize self-sufficient but the drought easily changes this situation. In 1991/92, the maize produced per person was below the level of 200 kg in all the three categories of households. Fertilized maize yielded twice as much unfertilized maize. Female-headed households harvested 615 kg in 1989/91 and 293 in 1990/91 compared to 982 kg and 505 kg for male-headed households in the same years. Thus, female-headed households produced on average 60 % of what male-headed households did. The differences in total harvests by land size category and gender of head were statistically significant at the 5% level. 77 Table 5.15 Mean Rainfed Maize Harvests (Kilograms) by Size of Farm in 1989 - 1992 1988/89 1989/90 1090/91 1991/92 Small 681 (I80)' 695 (208) 630 (I80) 247 (69) Medium 873 (265) 930 (269) 866 (252) 441 (139) Large 1228 (296) 1206 (274) 1064 (238) 544 (123) All households 1021 (269) 1031 (361) 928 (235) 463 (122) a/ Italicized figures are per capita Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 Table 5.16 Mean Harvests of Fertilized and Unfertilized Maize (Kilograms) by Size of Farm in 1991/92 Small Medium Large Total Fertilized 256 51 l 562 508 Maize 68 I60 123 129 Unfertilized 229 246 330 268 Maize 69 84 103 85 All Maize 247 441 544 463 69 139 123 121 a/ Italicized figures are per capita Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 11“” V 78 The food security position of households can be established partly by how long it takes to exhaust their maize harvests. The households were grouped into those who deplete food stocks before harvest and those who do not. The proportion of households whose food stocks lasted from one harvest to another varied in the three years prior to the survey: 0.7% for 1991/92, 11.9% for 1990/91, and 48% for 1989/90. These figure were collected through recall data by farmers and should be treated with caution. However, they bring out the general trend of poor harvests in 1991/92 due to drought. 5. 4.2 Food Security and Income Strategies Only 31% said their food security strategy was to produce all food requirements. Thirty-eight percent grow cash crops in addition to growing food to be food secure. A good 7.4 % of households relied on "ganyu”9 labor to be food secure, and an additional 5.3 % complemented other strategies with ganyu labor. Seven percent did some kind of IGA. Nearly 10% combined own farm production with other strategies (see Table 5.17). The major differences in strategy by farm size are that fewer small and medium size farm households depend only on farm production, and more small farms rely on "ganyu" for food security. For the forty five percent of those who rely on agricultural cultivation to be food secure, dimba crop production was the major way of managing yield risk in case of rain failure. Trading in agricultural commodities was an important alternative strategy for another 15.5%. 9 Ganyu is piece work wage labor. It is an important survival strategy for going through the hunger months of December to February (Center for Social research 1990), and is also a way of getting seed (Smale 1990). 79 Table 5.17 Food Security and Income Strategies by Farm Size (Percent of Sample) All Small Medium Large 1. Produce All Food 31.1 30.2 37.4 41.4 2. Produce Food and Cash Crops 38.1 30.2 26.3 35.2 3. Own Farm Production + Others 9.6 4.6 6.1 4.0 4. ”Ganyu" 7.4 14.0 5.1 7.0 5. Employed Permanently 3.0 4.7 5.1 1.0 6. Income Generating Activities 6.3 9.3 7 .1 4.7 7. Others 4.5 10.0 12.1 6.6 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 5.5 Farmers’ Willingness to Use Irrigation Willingness to invest in formal irrigation should be related to perception of constraints to rainfed and dimba farming. For rainfed land, farmers felt that lack of fertilizers (31%) and poor rainfall (27%) were the major constraints. Poor rainfall and water shortage were also important constraints for dimba land cultivation (21% and 14.9% respectively). However, pests and fertilizer were also mentioned frequently (Table 5.18). Seventy-one percent said they would be willing to participate in irrigation. Sixty-six percent foresaw problems in organization and implementation. Examples of this are disputes among farmers and fear of getting involved in government credit. The crops they frequently mentioned as wanting to grow were maize, tomatoes, and cabbage. The single most important reason for choosing the crops was to generate cash. 80 Table 5.18 Constraints to Producing More Crops Percent of Farmers Mentioning Constraint Constraint Rainfed Land Dimba Land Lack of Fertilizer 31 13 Poor Rainfall 27 22 Water Shortage -- 15 Pests 0 15 Others 42 34 Source: Survey Data l993/Guide to Agricultural Production in Malawi 1992 5.6 Summary This chapter presented the major descriptive characteristics of the survey households. The number of households surveyed was 270. of which nearly 20% are female headed. Fifty- tvo percent of heads of households are literate. Median household size is 5. The households are generally better endowed with land than most households in the area, with a mean land holding size of 1.7 ha, of which 1.5 is rainfed and 0.24 ha is dimba land; 16.3% are under 0.7 ha, 36.3% between 0.7 and 1.49, and 47.4% greater than 1.49 ha. The dominant crop mixtures grown on rainfed gardens are maize/beans, peas, maize, maize/beans/pigeon peas, and maize/beans/groundnuts. On dimba gardens these are Sugarcane, maize, cabbage, and tomato. The households are more likely to use fertilizer than is the case among typical Smallholder farmers in Malawi. A large minority hire labor for fertilizer maize-based crop l‘l‘lixtures grown on rainfed land. Pesticides are used on dimba crops of chinese cabbage, Cabbage, tomato and rape. 9 Although all households farm some land, nearly 30% do not consider farming their major occupation. Even in good rainfall years many households do not produce enough 81 maize. The majority, 71%, are willing to participate in irrigation. However, they foresee problems in organization and implementation. cm 6: ENTERPRISE BUDGETS AND FORMULATION OF THE TARGET MOTAD MODEL This chapter describes how the safety-first whole-farm Target MOTAD programming model was formulated, using enterprise budgets and other data. The emphasis is on the sources of data, reasons for including specific activities, and the derivation of coefficients in the programming matrix. 6.1 Enterprise Budgets An enterprise budget is prepared by stating income, expenses, and resource needs of the enterprise on a per unit basis (Harsh et al 1981). Crop enterprise budgets in this study are constructed for two reasons: a) to calculate gross margins for each enterprise; and b) to calculate the technical co—efficients needed for the programming matrix presented in section 6.2. Incomes or gross values are derived by multiplying average yields for the enterprises by the price(s) of the output(s) and subtracting variable costs. Technical co-efficients are comprised of the per unit input requirements for the production activities of crops in the enterprises. The budgets are formulated for currently grown crops, intensive and irrigated crop enterprises to fit the three models that are used. Model I deals with the optimization of the representative farm’s returns with current cropping practices. Model II represents the oPpor’tunities available for farmers to upgrade their cropping practices to intensive status by using more chemical inputs and the requisite labor. Model 111 allows representative farms to S“fleet crops grown with current or intensive practices on rainfed land, and replaces dimba crops with irrigated ones. Model III has two variations. In Model III(a) the irrigated crops are cereals, while in Model III(b) they are horticultural crops. Current crop enterprises are those that farmers are practicing in their gardens, as l'eflec:ted by the survey results. They are of two types: those that use fertilizer and those that do not. Intensive crop enterprises are similar to the fertilized options of current enterprises 82 83 but the fertilizer and pesticides levels are raised to the recommended levels. Irrigated crop enterprises are those grown by farmers on irrigation projects. They use recommended fertilizer and chemical input levels. The enterprise budgets are presented in Tables A61 to A6.40 in Appendix B. The chapter discusses how they were compiled. 6.1. 1. Estimating Yields Yield data came from the survey results, the Guide to Agricultural Production in Malawi-1992 (GTAPM) and Adaptive Research Unit (ARU) reports. The source of data for each particular enterprise depended on whether it was current, intensive or irrigated. 6. 1 . 1 . 1 Current Crop Enterprises Only those crop mixes grown by 10 or more farmers in the sample were considered for enterprise budgets and eventual inclusion in the programming matrix as crop production activities. This was done so that the solution carries crops that reflect dominant farmer Practices and facilitates validation of the model. For each crop mixture there were potentially tWO options: the first Option where farmers used no fertilizer and the second option where fertilizer was used. Use of some amount of fertilizer, even if less than the recommended 1eVel, was interpreted as use of fertilizer. This was done to capture the production function effect of fertilizer use. The yield data used are typical values for the cases in the sample. For rainfed enterprises, the mean was used. These values were fairly comparable to other survey results on Yields. In the case of dimba crops, it is prudent to use the median yields. Due to the Small size of dimba plots and lack of experience of farmers in reporting harvests of dimba Creps , the mean could embody serious statistical biases. 84 Based on the above criterion, fourteen crop mixes were selected from the observed 99. Six are rainfed enterprises and the rest are dimba enterprises. When the fertilized and non-fertilized options are allowed, 15 current enterprise budgets were compiled. These are: Enterprise Name Abbreviation Fertilized Maize/Beans ManF Non-fertilized Maize/Beans ManN Fertilized Maize MzF Non-fertilized Maize MzN Fertilized Maize/Beans/P.peas MzBPpF Non-fertilized Maize/Beans/P.peas MzBPpN Fertilized Maize/Beans/Gnuts MzBGnF Rainfed Peas Rpeas Sugarcane Scane Dimba Peas Dpeas Non-fertilized Cabbage CabN Non-fertilized Chinese Cabbage CcabN N on-Fertilized Tomato TomN Dimba Maize szn Dimba Maize/Pumpkin Leaves DMzPLN 6. 1 . 1 .2 Intensive Crop Enterprises Intensive enterprises differ from current ones in using fertilizer at the higher 1‘ eCOmmended levels. This leads to higher yields, and consequently, more labor is required for harvesting. These levels are not what the survey farmers use, so other sources of data Were used. The first was the ARU for yields of crops. For enterprises on which the ARU does not have yield data, those from the GTAPM were used. The following intensive crop enterprises were included: 85 Hybrid Maize HMaize Hybrid Maize/Beans/Pegion Peas HMzBP Maize/Beans Imzbn Maize/Beans/P.peas Imszp Maize/Beans/Groundnuts Imzbgn Cabbage Icab Chinese Cabbage Iccab Tomato ltom Maize M2 6. 1. 1.3 Irrigated Crop Enterprises Only the fertilized option was specified for irrigated crop enterprises. Twenty- two irrigated crop enterprise budgets were compiled, viz: Tomato RToml , RTom2, Rtom3 Beans RBeansl, RBeansZ, RBeans3 Cabbage RCabl, RCab2, RCab3 Chinese Cabbage RCcabl , RCcab2, RCcab3 Pumpkin Leaves RPLvsl , RPLvs2, RPLvs3 Onions ROn2 Rice RRice1,RRice2 Hybrid Maize RHymzl, RHymzZ Wheat RWheatl , RWheat2 The suffixed figures refer to the seasons in which the crop is grown. An assumption is made that vegetable crops can be grown and harvested in four months. Three seasons are specified for Model III(a): Season 1 is from January to April, Season 2 from May to August and Season 3 from September to December. Consequently, enterprise budgets for irrigated crops are formed with one-third of amortized debt apportioned to each of the three seasons. For Model III(b)-with irrigated cereals—two seasons are specified: September to March, the rainy cropping season; and April to August, the winter cropping season. Half 'of amortized debt is used. The yields are calculated using information from discussions with farmers at irrigation proj ects and reports from Lilongwe ADD for Mchenga and Diamphwe irrigation projects. They are shown in Table 6.1. 86 Table 6.1 Yields of Irrigated Crop Enterprises Seasons 1 & 3 Season 2 Crop Area Area Enterprise Planted (MP Yield (kg) Planted (Lia) Yield (kg) Tomato 1 .008 2491 0. 504 5243 Onion --- -- 0.504 8008 Beans 1.240 3738 1.008 4754 Chinese Cab. 0.504 3427 0.504 12001 Cabbage 1.008 51 10 0.756 24312 Pumpkin Lv. 0.252 1670 ~---- ----- 1/ Area planted refers the area sown to the crop at Mchenga irrigation project in the respective seasons. Note: Except for chinese cabbage and cabbage, all the yields are below half of potential. Source: LADD 1993(b) 6.1.2 Valuing Yields and Inputs Yields and inputs were valued using prices from the 1990/91 cropping season for two reasons: a) It is the midpoint between 1989 and 1992 so that assuming constant inflation rate we do not have to deflate/inflate the values; and b) The yield data available are for 1992. Assuming lagged adaptive expectations, the 1990/91 prices were expected when planting crops in the 1991/92 season. These then were the prices entering the derived demand for inputs in that year. Also important is that this was a year of no drought. If output is sold, the appropriate price for valuing yields is clearly the sale price. But all farmers in this study consumed some of their output. The consumed output can be valued at its opportunity cost which is the price the output could have been sold at had it not been c"3113mmed. This would have to be the average price for the period over which the crop was consumed, assuming comtant rate of consumption. However, no data were collected on 87 quantities consumed. Therefore, the prices used were selected from those of the survey and those paid by ADMARC in the 1990/91 cropping season. The approach to off-farm income earning activities is assumed that net returns per hour are equal to the minimum wage rate. 6. 1. 3 Variable Costs Variable costs include costs of hired labor, seed, marketing, inputs such as fertilizers and chemical inputs, equipment repairs and maintenance, and operating interest charge. Excluded from this are taxes, depreciation, insurance and overhead labor costs. The approach taken concerning interest charges is to include them as part of investment cost in amortized debt . 6.1.3.1 Seeds No data were collected through the survey on the seed rate for the enterprises. The data used are from the GTAPM, which specifies different seed rates for different crops depending on the mixtures of crops. The seed rate appears in each enterprise budget under the row title ’seed’. For example, the seed rate for maize is 25 kg per ha. 6- I . 3.2 Fertilizer and Chemicals Applied to Crops The figures used for fertilizer and chemicals applied to current enterprises are averages of quantities used by survey households. For intensive enterprises, GTAPM rates Were used, and the same data were applied to irrigated enterprises. For intensive and irrigated enterprises, an assumption was made that pesticides and fungicides are applied twice at the specified rate. Fertilizers are mostly used on maize. The most commonly used types Were 2020.0 (17%), Calcium Ammonium Nitrate (32 %), Urea (25%), Double Ammonium Phosphate (4.8%) and 2321.0 (8.7%). The recommended practice is to apply fertilizers twice, basal and top dressing. Among the surveyed households who used fertilizer on maize, only half followed basal with top dressing. Top, dressing was done with mostly CAN and 88 Urea. Fertilizer costs on average MK1.00 per kg. The quantity of dry fertilizer recommended for the various crops is reflected in the enterprise budgets. For maize, these are 370 kg for hybrid varieties and 160 kg for local maize. Among vegetables, an example can be used of tomatoes. It is recommended to apply every six weeks a total of 80 kg of fertilizer. Chemicals recommended are Carbaryl 85 WP and Dimethoate 40 WP for aphids, both applied by spraying solution of 35 g in 14 liters of water. 6. 1 . 3.3 Repairs and Maintenance No major farm implements are used in this part of Malawi. The major repair and maintenance cost for any of the activities is that of hoes and Slashers. The exception is for irrigated enterprises, and this is discussed under Section 6.1.5. 6.1.4 Labor Use and Costs 6. I- 4.1 Family Labor Family labor does not enter the calculation of gross margin as a variable cost but is used to calculate returns per unit of labor and as a constraint in programming. For current enterprises, the median of labor person-hours applied to each enterprise was used. The exeeption is for land preparation where the median is used for the whole sample of dimba Crops, excluding sugarcane. This was done for consistency. Time taken to prepare land ShOuld not vary much by enterprise except for sugarcane, which is a perennial crop and has Very different planting practices. For programming purposes, the labor requirements were distributed into the main mOnths in which the activities for the enterprise were done. This is meant to increase the Precision of resource constraints in programming. Also, the cost of labor may not be constant over the year. This approach also expedites sensitivity analysis. In the case of intensive enterprises, the levels of family labor used are derived this Way, For the basic activities whose labor requirements do not vary with outputs or inputs 89 (i.e. land preparation, planting, weeding, and irrigation), the labor requirement used is the same as for fertilized current activities. But for fertilizing and harvesting, the figures for current enterprises are increased by the proportionate increase in harvests or inputs due to intensive use of inputs. For irrigated crops, the estimates are done similarly to intensively cultivated crops except that the labor requirements for irrigation are calculated from reports by the Lilongwe ADD for the irrigation projects. Setting up equipment requires at least two people, and it takes 2 to 3 hours to irrigate 3 hectare of land. Some of the labor requirements reported by farmers are very high, especially for irrigating dimba crops. Current dimba enterprises require more labor for irrigation than irrigated enterprises because watering is done manually with watering cans. However, there is need for empirical studies to verify these figures. 6.1.4.2 Hired Labor Hired labor is used in crop production when it is profitable to do so but family labor is limiting. The minimum wage is used as rate of remuneration. This is debatable in the case for "ganyu" labor. The wages are usually in-kind, such as grain, and it is widely believed that these are very low. However, these views may overlook some costs and benefits implicit in the wage. First, when grain markets fail, it is attractive for the "ganyu" workers to earn grain rather than cash because it saves them time and extra money needed to go in search for grain. Second, the wage should reflect the cost to the employing farmer of storing or procuring grain and bringing to close to the "ganyu" workers. In the absence of empirical data, sensitivity analysis is used to assess impact of conjectured wages on returns. 6.1.4.3 Marketing Costs Marketing costs are calculated as the value of labor used in taking the produce to market and selling it. The figures are based on the researcher’s experience and observance of marketing in rural areas of Malawi. People carry produce to the market in the morning and 90 expect to complete selling by mid-day. Considering that the maximum load a person can carry is 50 kg, this works out to about 10 kg per hour. Using the minimum wage of MKO.25 this gives MK0.025 as cost of marketing a kilogram of produce. This figure is multiplied by the quantity harvestedlo of each crop in an enterprise to arrive at marketing costs per enterprise”. The exception is sugarcane where it is assumed that each bundle of sugarcane (20 canes) takes two hours to sell. Thus, a bundle costs MKO.50 and a cane MK0.025 to sell. 6. 1. 5. Irrigation Costs Irrigation costs vary by type of irrigation technique used. The base model uses the costs for sprinkler irrigation. The costs for the various types of irrigation were calculated as follows:. The estimate is done for five hectares of land because this was the size of the sprinkler and borehole/furrow irrigation projects the Ministry of Agriculture has implemented. Sprinkler irrigation equipment cost MK90,000 [LADD 1993(a)]. Figures on costs of drilling boreholes and installing pumps for other types of irrigation were available from Ministry of Works, Department of Rural Water Supply. Costs of constructing earthworks were derived from the data that the Department of Irrigation used to evaluate gravity-fed projects. This includes the costs of measuring and constructing headworks, canal structures, road access culverts, bridges, transport, tools, siphons, and payments to surveyors. The costs per hectare for different sites were estimated from MKSOO to MK3500 depending on ease of water abstraction and topography. The median, MK2000, is used as an estimate. Amortized debt is calculated based on 25 % interest rate and 15 years of repayment period. This period was chosen to coincide with the useful life time of the equipment or ‘0 Ideally only the quantity sold should be used. For crops that are mostly consumed e.g. maize, the marketing costs are a very small proportion, because of low yields. Thus there should be very little upward bias in the figures. " There are petty traders who continually sell produce at these markets, but they are not producers. They can be considered retailers. 91 investment. The high interest rate reflects the current commercial rate of about 21% and costs of administration and also reflects risks involved in lending over the long time period. Five types of irrigation techniques were identified, and Table 6.2 below indicates their costs, amortized costs and annual maintenance costs. The latter are based on 5 % of the value of investment. For the gravity-fed irrigation, maintenance costs are only for labor used in keeping the earthworks in good shape. Table 6.2 Costs of Various Types of Irrigation. Type of Irrigation Investment Cost Amortized Cost Maintenance Cost Malawi Kwachas Pump/Sprinkler 18,000 4,664 900 Pump/Furrows 10,000 2,591 500 Bore/Furrows‘ 7,000 1,814 350 Gravity-fed/Furrows 2,000 518 100 Tank/Furrows 6,000 1 ,554 300 1/ There are two types of boreholes commonly used in Malawi: the Barnaby and Afridev. The costs of the Afridev are used in the budgets. Source: Departments of Rural Water Supply and Irrigation 6.2 Formulation of the Mathematical Programming Model The model used to determine optimal income earning activities is the Target MOTAD. It uses Telser’s safety first criterion to model farmers’ risk avoidance behavior. Safety first goals are specified using two different approaches: minimum maize production and subsistence income requirements. Three versions of the model are used which correspond with the crop production practices that farmers can use, viz current practices, intensive practices and irrigated cultivation. 92 The method used selects an activity mix which optimizes the choice variable, expected income, while simultaneously enforcing chance constraints up the yearly deviations of income from the expected optimal income. This is done by using a sufficiency constraint that imposes Telser’s safety first probablistic criterion in the LP program. The sum of yearly deviations of income from expected income multiplied by the probability of that year’s state of nature occurring are summed up. The model then selects a target from which the sum of probability weighted deviations is subtracted, and the difference is greater than the farmer’s 8031 [t - L*Q(t) > g]- This section present the programming tableaus used in the models. For reasons of space the matrix developed is displayed by model showing matrix quadrants with major activity types. 6. 2.1 The Objective Function The objective function maximizes gross margin from farm activities and earnings from off-farm income generating activities subject to constraints on input, market and permissible chance of failing to meet target objectives. The gross margin corresponding to the optimal solution is roughly equivalent to net farm income over fixed costs. In the objective function row are entered the costs or revenues of engaging in a unit of activity (i.e. producing crops, selling crops, hiring labor or selling labor). 6.2.2 Activities in the Model The activities in the model include crop production, labor hiring and selling, crop selling, deviations and chance counters. cultivai enterpr enterpr objectix enterpri efficient quadran 0f accoux “10th s constrain JANHL 1 Cllllnat 1' C" ”3° year. of the 3'6; margm - i for Off‘fal di3p1336d 93 6. 2. 2.] Crop Production Activities A cropping activity is a single variable representing a given crop enterprise that is cultivated. The unit of account is the hectare. Crop production activities include crop enterprises grown on rainfed land and dimba land for Model 1. Model 11 adds on intensive enterprises. Model 111 adds on to Model 11 the crops that are grown with irrigation. In the objective function row is entered the cost of producing one hectare of the crops in the enterprise. These are the variable costs in the enterprise budgets. The input-output co- efficients represent the resource requirements per hectare of the crop activities. The relevant quadrants of crop production activities are displayed in Tables 6.3 to 6.7. 6. 2. 2.2 Labor Hiring Activities The model is set up to allow for the hiring of labor if it is profitable to do so. The unit of account is person-hours. The labor hiring activity for each enterprise is disaggregated into months so that the optimal solution hires labor only for the month for which there is a constraint and also because its costs change over the year. Labor hiring activities are labelled JANHL for January hired labor to DECHL for December hired labor. 6. 2.2.3 Labor Selling Activities Due to the seasonality of production, especially when only rainfed and dimba cultivation is practiced, the farm family may have agricultural slack labor in some months of the year. The model allows for off-farm income earning activities (IEAs) in all the 12 months of the year. The official minimum wage rate of MKO.25 per person/hour is used as gross margin. The activities are labelled OFEJAN for off-farm employment in January to OFEDEC for off-farm employment in December. The quadrants for labor hiring and sale activities are displayed in Tables 6.8 and 6.9. 6.2.2 ofcro; the crc anus ran—4g¢_1AI CTOp S 6.2.2. manix DYEA aCls 18 6.2. 3 Constra 6. 2.2.4 Crop Selling Activities 94 Crop selling activities together with the yield accounting rows allow for the translating of crop yields into gross margins. The objective function rows carry the relevant prices for the crop. The base prices are those of the 1990/91 cropping season. The following sell activities are included: Sell Rainfed Maize Sell Dimba Maize Sell Rainfed Beans Sell Pigeon Peas Sell Groundnuts Sell Rainfed Peas Sell Dimba Peas Sell Sugarcane Sell Pumpkin Leaves Sell Tomato Sell Tomato Seasons 1 and 3 Sell Chinese Cabbage Sell Cabbage Sell Irrigated Beans Sell Onions Buy Maize Sell Wheat Sell Rice SRMZ SDMZ SBNS SP/PEA SG/ NUT SRPEA SDPEA SSCANE SP/LV STOM STOM1&3 SCCAB SCAB SIRBN S SIRON2 BUYMZ SWHEAT SRICE Crop sale activities quadrant is shown in Table 6.10. 6. 2.2.5 Deviations and Chance Counters Since the model is a Target MOTAD, deviations and chance rows are used in the matrix. Four deviation rows are included to represent the four years of yield data, DYEARI, DYEAR2, DYEAR3 and DYEAR4; the TQ(t) column sums the deviations, and the t column acts as a counter that selects the target. The chance quadrant is in Table 6.11. 6.2.3 Constraints The model maximizes gross margin subject to family labor, land and chance constraints. We had intended to use a rotation constraint. Several methods are available to 95 model them (El-Nazer et al 1986, Musser et al 1985). But lack of data on crop yields grown in rotation made this impossible. Also due to lack of data for yields of onions in Season 1 and 3, only Season 2 onions are modelled. 6. 2. 3.1 Family Labor The average size of household was used to arrive at the available person-hours. An equivalent of 2 adults available to work full time per household is assumed. They work an average of six hours a day, 25 days in a month. This is the labor available for all economic activities be they farm or non-farm. The family labor available is varied by month to reflect seasonal variation in hours that can be worked due to rains and also disease. In the rainy season the incidence of diarrhoea and malaria is higher. So in November, December, January, and February about 5 work hours per day are specified. This gives 240 hours per household in these months compared to 300 in the other eight months. In the matrix, the monthly labor requirements are labeled J ANLAB through DECLAB respectively. 6.2.3.2 Land Land available for cultivation is limited. The model allows for three size pairs of land holdings for rainfed and dimba land. These are (0.45, 0.13), (1.06, 0.17), and (2.49, 0.33) hectares for small, medium and large farms respectively. In the case of irrigation, the land sizes specified correspond to the current dimba land: 0.13 ha, 0.17 ha and 0.33 ha. Irrigated land available is modelled in seasons for ease of programming crops grown in different seasons. Three seasons are modelled for production of horticultural crops Model III(a), and two seasons for cereal crops Model III(b). The mnemonic names used are: Rainfed Land RFLAN D Relay Use of Rainfed Land RFLD2 Dimba Land DLAN D Irrigated Land Season 1 IRLDSI Irrigated Land Season 2 IRLDS2 Irrigated Land Season 3 IRLDSB 96 Farmers in Malawi use rainfed land to grow field peas or beans or sweet potatoes in relay with maize. Among the survey households the most common relay crop is field peas. 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The modeler can parametrically change the probability level below which failure to achieve goal is undesirable or change the goal itself. In this analysis exercise this probability pertains to the proportion of cropping seasons above which it is unacceptable to fail to achieve the specified food security goal. With respect to the goal, the approach in this study is two pronged. There are two main ways of looking at the solutions to the maize insecurity situation. A farmer can try to formulate a plan that allows her to produce all maize, or she can produce some maize and also cash crops to earn income to make up for the deficit. Each of the three models is presented in two variations: the goal in the sufficiency condition is specified in kilograms of maize harvested and also income (gross margins) from all enterprises. In case of maize 108 M USE COn on It 109 production, the goal is 1,000 kilograms of maize: 200 kg per person per year for a household of five. These estimates are based on government sources [Malawi Government 1993(b)]. Minimum income requirements are calculated to be MK2,500 per household per annum. The following budget was used to arrive at the datum: Item Costhk) Maize (200 Kg @ MKO.60/kg) 120.00 Salt 20.00 Cooking Oil (4 liters @MK10.00/literl 40.00 Sugar (10 Kg @ MK2.00/kg)' 20.00 Protein Source (@ MK.50/day) 180.00 Vegetables (@ MK0.05/day) 20.00 Transport/Sundries/Hospital Fees 100.00 Total 500.00 Assuming an average household size of five, the minimum income requirement is MK2500. Some government/donor documents [Malawi Government 1993(b), World Bank 1990] use a poverty datum of US$40.00 which was MK200 during the time this study was being conducted. This is very low and has neither empirical basis nor description of its derivation. Each specification of the two goal specifications is analyzed for all three farm sizes. The target, t, is endogenously selected by the algorithm but it should be greater than or equal to g. Sensitivity analysis is done to understand the impact of selected changes in variables on the optimal solutions. It is done using non-marginal changes in values of these variables: values outside optimality or feasibility ranges for optimal solutions. The variables that are parameterized are prices of output, cost of hired labor, yields, and cost of irrigation. When planning investments, the relevant price for valuing output is the one to obtain when the planned production enters the markets. This price may not be discovered in advance; thus, sensitivity analysis evaluates the impact of conjectured price changes. Even with irrigation, yields can vary for the same season in different years and between seasons due to water sour diff: the I Dec in k abse redu that solu of ft inco '9 v- 110 source fluctuations, management of crops and natural disasters. There are potentially five different irrigation methods with three cost levels. Sensitivity analysis is intended to capture the difference in costs of these methods. Cost of labor varies by month. In the months of December to January many members of small farm households do "ganyu", work for payment in kind, on larger farms. The wages are believed to be below the minimum wage. In the absence of empirical data on the level of these wages, sensitivity analysis is done for 50% reduction in the minimum wage. It is done for Model III(a) only, because it is in this model that there is significantly higher labor hiring. The results presented and analyzed include I) the level of activities in the optimal solutions, 2) shadow prices of resources and constraints, 3) stability of solutions and the cost of forcing excluded activities into the solution, 4) contributions of various resources to total income and 5) highest feasible maize production goals. 1) The optimal solutions are of two kinds: non-risk constrained and safety first solutions, where applicable. The results that are discussed extensively are those at the probability limit of 0.25 (L*= 4). These results can be achieved by representative farms in at least 75% of the cropping seasons. However, also presented are results for the 0.33 and 0.40 probability limits for small farms. This is done to illustrate the general nature of solutions and provide supporting evidence for conclusions reached. 2) Shadow prices measure the rate of change in the value of the objective function in response to a small change in the use of a resource or level of constraint. Alterna- tively they can be seen as the maximum price to pay to get one more unit of a resource or otherwise relax a constraint by one unit. This is true if the resources are not sunk costs. Shadow prices also indicate the productivity or scarcity of resources available to the farm. The more constraining the resource, the higher the shadow price. 3) Two concepts of stability will be used. The first is range of optimality (Anderson et al 1991). This refers to the range of values of the objective function co-efficients 4) 5) 111 over which the activities in the solution function remain optimal. The second, range of feasibility, indicates the range of the right hand side values of resources/constraints over which the dual value will remain the same. Cost of forcing in excluded activities in the solution reflects the competitiveness of the activities. Competitiveness is defined as the cost to a farmer of forcing in an activity excluded from the optimal solution. The higher the value the less competitive the activity. For all solutions there is a discussion of the contribution of various resources to total income viz, dimba land, rainfed land, irrigated and off-farm income earning activities. These data provide a way of assessing the relative importance of various resources in to achieving food security goals. For each model there is also a presentation of the highest feasible maize production goals and the corresponding optimal maize production levels. The maximum feasible goals show the level of production that a farmer can hope to exceed in 75 % of the cropping seasons. They indicate the level of confidence that farmers can have about their potential for maize self-sufficiency. 7 .1 Base Solutions 7.1.1 Maize Production Approach and the Non-risk Constrained Solutions 7.1.1.1 Activities in the Solutions The general pattern of solutions is shown in Table 7.1. The non-risk constrained solution and the maize production approach give the same results because the same activity has the highest gross returns; maize/beans/pigeon peas also has highest maize yield. The level of goals are selected to represent the ends and middle1 of the feasible but binding region of the sufficiency condition. At all probability levels, the value of the objective function ' In Model I the results do not show a lot of variation in level of optimal crops so that only the ends of the spectrum are presented. 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BEB— "Emma: 29%: mean: 3:08:32 8:885 86 0885 :30 0.200885 5»: €62 :8: $538.. as 2: 2 cacao: 35m 333 $832 as 8:25 32525 £33 a? 283% EE 5% - _ .232 2 use. sous—om 5 8238.4 no 63‘— 114 3150“ wwmitmgfi San— ~Au>hflm ”nouflom 82.2% EE SE n Exam 3 mecca—om £80394 cocoa—coca 332 8 258 2a muons—om 3:35:00 meA—oz 2: "20052 \a ma 3N cmN wmm 3 thm mam own .5 03 «Fun ma 2% 0mm com 2 _ 03 3 thm mam a5 SN chvm mam“ >2 or m: cm: mg on 2. 3 mm 2m unaccoun— Sna— “caesium :53 5:92 .892 32. >22 E3. baa—an 350:...835 moE>uu< 8%..— 3:: unauuawsm 80388. 30A 30:5— 82.2580 anon noowE 88m 382 BE Agassi 82.3. E...“ 3.5 E 23 CC Cll Cal Ma 115 when the sufficiency condition is non-binding (due to a zero level goal) is the same, MK1,380. In this particular case it also happens that the maximum feasible income goal (MK576) is the same at all the selected probability levels. Due to the narrow band of the feasible but binding region, the solutions do not reflect much difference in crop combinations and values of the objective function. This is due to the tightness of the risk situation as represented by the sufficiency condition. The results of the base scenario at the 0.25 probability limit are shown in Table 7.2. The configuration of yearly yields and output prices leads to the same solution for the safety first maize production approach and the non-risk constrained solution. This is due to the mean-minimum dominance of the fertilized maize/beans/pigeon peas enterprise among rainfed crops. It has the highest minimum yields and the highest mean income. Since the maize production approach optimizes expected income subject to a safety first constraint on yield deviation, maize/beans/pigeon peas is selected. Sugarcane is optimal for dimba land and a relay crop of field peas. The level of activities in solution-production and sellinguvaries with available resources for the three farm sizes. (It is assumed that the farmers will sell what they produce over consumption requirements.) The maximum mean returns are MK1,380, MK1,657 and MK2,529 respectively for the small, medium, and large farm sizes. The representative small and medium farms meet only 52% and 66% of their subsistence income requirement of MK2,500. These results corroborate the findings of other research studies on levels of malnutrition and poor health as cited earlier. Small and medium farms have surplus labor which they can sell or use in income earning activities (IEAs), every month. Large farms have surplus family labor in February, Mar Ch, May, July, October and November. However, they need to hire labor in January, April , June, August, September and December. \l C0 the PIC 1 16 7.1.1.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises The shadow prices of rainfed land and dimba and relay use of rainfed land are NIK196 and MK3,338 and MK41 respectively. Thus, under the base scenario enterprise price and yield permutation, dimba land can generate MK3,338. This dual value of land is feasible over a range of 0 to 0.46 ha, 0.17 to 0.23 ha, and 0.32 to 0.55 ha with respect to the three farm sizes. Sugarcane is optimal until prices drop below MKO.28/cane. Sensitivity analysis is thus done at MKO.25/cane. On dimba land there are no crops that compete well with those in the optimal solution on small and medium farms. Introducing any dimba crop not already in the solution can completely wipe out the gross returns. Fertilized maize/beans/groundnuts is the most competitive on rainfed land at zero cost of being forced into solution. 7. 1.1.3 Contribution of Dimba Crops to Income Dimba crops contribute 31%, 38%, and 47% to the optimal income of small, medium and large households respectively. Rainfed land is most important to large farms, contributing 41% of their income (See Table 7.3). This result is important. From the small portions of dimba land, the small representative farms can generate more income than from their rainfed land. For the representative medium farm a 0.17 hectare plot of dimba land can provides the same income as 1 hectare of rainfed piece of land. These results have two iIIIplications. First, dimba land is very important to providing livelihoods especially for small fal'rns when compared to the other farm sizes. Second, small increases in availability of ditnba land can have significant positive impact on household incomes. A conclusion can be made that when favorable market conditions exist, upgrading small portions of rainfed land to irrigated status has the potential to significantly improve the incomes of households, and their food security status. Farmers can generate a substantial portion of their income from non-farm IEAs: 49% . 31% and 12% for small, medium and large farms. Small farms can thus derive nearly l 17 half of their total income from use of agricultural slack labor in either IEAs or employment. This study did not focus on off-farm IEAs. A good specification of the off-farm IEAs is important to draw specific conclusions. However, the finding is in line with the descriptive results as presented in Chapter 5—that small farms tend to be engaged more in off-farm IEAs than large farm operators. Studies conducted in other countries also have similar findings: Flanders (1977), Priebprom (1982) in Thailand, and Reddy and Finders (1988) in USA. This finding indicates that if farmers with very small holdings are not able to practice intensive agriculture, then government needs to focus attention on off-farm sources of income either to make them more remunerative or easier to establish. Table 7 .3 Model I - Base Scenario Contribution of Dimba Land, Rainfed Land and Off-farm IEAs to Income Size of Farm Small Medium Large Rainfed Land 20% 31% 41% Dimba Land 31% 38% 47 % Off-Farm IEAS 49% 31% 12% Total Income (MK) 1380 1657 2529 ‘ Source: Survey Data l993/LP88 Results 118 7.1. I . 4 Maximum Feasible Maize Production While the non-risk constrained solution does not change with probability limits, the level of achievable maize goals do change. These are indicated in Table 7.4. At the 0.25 probability limit, the feasible maize production goals are 300 kg and 708 kg, for small and medium farms. The corresponding expected production levels are 668 kg and 1,480 kg. Thus, small farms can be sure that the expected maize production of 668 kg will be more than 300 kg in 75% of the cropping seasons. In other words there is certainty that small farms can provide adequate maize for 1.5 persons in three quarters of the cropping season. Large farms can meet the safety first goal of 1,000 kg without being constrained. When the proportion of cropping seasons permissable to fail to meet the goal is raised to 40% , the medium farms still fail to reach a mean of 1,000 kg. Table 7.4 Model I - Maximum Feasible Maize Production (kg) Goals by Allowable Probability of Failure Size of Farm Probability Small Medium Large Limit 0 - 25 300 708 1 .663 0-33 331 780 1,834 0-40 405 954 2,401 I“Ote: The minimum maize requirements are estimated at 1,000 Kilograms per household 119 7.1.2 Safety First Solutions In this section the results of the safety first solutions at the 0.25 probability limit are discussed. These were shown in Table 7.2. 7.1.2.] Activities in the Solutions The crop mixtures vary by farm size. Small farms have fertilized maize/beans/ pigeon peas on rainfed land and sugarcane and a small amount of tomato on dimba gardens. Medium farms have fertilized maize/beans/groundnuts on rainfed land and a small portion of fertilized maize/beans/pigeon peas. Large farms have fertilized maize/beans/groundnuts. Sugarcane is the sole crop on dimba land for both medium and large farms. The differences in solutions are due to the resource endowments of the three farm sizes. When safety first goals are specified in income and land is very limiting, activities with very high means returns remain in solution, i.e. maize/beans/pigeon peas and tomatoes for small farms. On large and medium farms, maize/beans/groundnuts dominates. The highest feasible income goals are MK576, MK903 and MK1,863 at the 0.25 probability limit, for the three farm sizes. They correspond to incomes of MK1,359, “1,638 and MK2,471 with respect to farm size. None of the three representative farm Sizes can achieve incomes that are higher than the minimum income requirements of MK2,500 in 75 % of the cropping seasons. Only the large farms need to hire labor to support their crop activities. This is in the months of January, April, August, September, and December. The medium and small farms can sell family labor in every month because the sizes of their gardens are too small to absorb it all - A slightly different version of Model I was analyzed with hybrid maize/beans/pigeon peas - This model corresponds to the past extension practice of offering credit for only hybrid maize. When farmers are risk averse, this enterprise does not appear in optimal solution. 0f 0n 120 7. 1.2.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises From the non-risk to the risk constrained solutions, the dual values of land change, rising from MK196 to MK524 for rainfed land; MK3,338 to MK4,943 for dimba land; and from MK41 to MK115 for relay use of rainfed land (MK82 for small farms) (see Table 7.5). The dual values of land are very high compared to rental or sale rates, even though these are not well established empirically. The dual values are derived as the net return to the optimal activity grown on the land. They, thus, represent the income the farmer loses when not using the land, or income to be had from using one more unit of land. The differences in the dual values of land in the non-risk constrained solution and the risk constrained solution is the safety first premium of land. It measures the contribution of one more unit of land to manage risk as measured by the yield/income variability and perceived by the farmer. The latter is reflected in the sufficiency condition (goal and probability level). The range of optimality is narrower under the risk constrained solutions than the non- risk constrained solutions or maize production approach. Thus, risk averse farmers may watch price changes more carefully because they will impact their safety first goals. The dual of the sufficiency condition of 0.54 shows that the expected value of the objective function can increase by MKO.54 if the goal is relaxed by MKLOO. (The value of the dual of the sufficiency condition changes with probability levels, the value being lower at higher Probability levels. Thus, at higher probability limits (l/L), there is less trade off between i“Conic safety first goals and returns.) The most competitive alternative crops vary by farm size. For small farms these are cabbffige at zero cost per hectare on dimba land. On rainfed land there is no competition from any crop. On medium and large farms, the dimba crop of sugarcane has no competition. In case of rainfed land, non-fertilized maize/beans/pigeon peas could be forced in solution at cost of MK23 per hectare on both medium and large farms, and fertilized maize/beans/pigeon peas on 1al‘ge farms at zero cost per hectare. 121 7.1.2.3 Contribution of Dimba Crops to Income The configuration of sources of income from dimba, rainfed and labor are similar to the non-risk constrained solution. 7.1.2.4 Maximum Feasible Maize Production The maize yields obtainable when income safety first goals are binding are 628 kg, 1,251 kg and 2,779 kg for small, medium and large farm sizes. They are lower than in the case of no risk aversion or maize approach because the criteria for selecting optimal activities is now based primarily on income variability rather than mean returns. The activities with less income variability yield less maize per hectare. 7 .2 Sensitivity Analysis Sensitivity analysis is done for three cases. The first, Scenario A, allows the price of the dominant dimba crop in the base solution, sugarcane, to drop by 50% from MKO.50 to MKO.25. Scenario B assesses the impact of mean yields of the tomato enterprise at the price of MK1.00 on expected returns and optimal crop mixtures. (The base scenario has median yields of tomato). Scenario C reduces the price of tomatoes in scenario B by 50%. This last scenario corresponds to the situation where high yields of tomatoes can glut the market or to account for high perishability of tomatoes. The results of sensitivity analysis for small farms only are shown in Table 7.6. (Results for medium and large farms are similar with respect to Combinations.) 122 Table 7.5 Model I — Shadow Prices of Resource and Constraints Resource/Constraint Small Farms Land (MK/Ha) Rainfed Land Relay Rainfed Land Dimba Land Labor All months (MK/Person-hour) Sufficiency Condition SFIRST'I Medium/Large Farms 524 241 1 15 83 5,526 4,943 0.25 02.5 -0.71 -0.54 NRCON" All Farms 195 41 3,338 0.25 a! Safety First Solutions b/ Non-risk Constrained Solutions Source: Survey Data l993/LP88 Results :. “quIIIovj .CK. 07.3% 123 238M wwmdmoa— 2mm hut—am ”bosom Sosa—om 322380 22282 ”ZOUMZ ”82.28 2ch .028. ”Hwy—Em E 350922 22:2 co out: 23 .2222 22:2 :82 $528622 383?; no out: “U 228on 2 350.3%,“ 22:2 co 8:: 23 .2203 22:2 :88 .oSWQmNdME 883?; «o 025 ”m 2.3:on B 3525:)“ 22:2 co out: :5 £an 22:2 5:2: .ofioRNdMZ 0:832; «o 025 ”< 23:on B wctoogvaz 22:2 .8 out: 25 £22» 22:2 22:2: 6.828622 05833. co 02.5 ”2.85% been \a cod 8.9 8: 2:- o $2. 2083 2:2 8.3. e: G e: 3 23 3e: 8.92.2 8.23 5.2 :5 a}. N2; 23 SEE Bead 8.3: wen me m3“ 3: 23.2 33> :25 Se m3 m3 fie: mg m; 225:. w _ .o 2 .o E. .3 E. i- ogcamsm 2 E. 220 3.: 3o 93 3o me: 98 38: e e ”.522 3.: 38 E. 2222 as $3 nee nee "flame: 8_._>:o< :80 we? 23 no} 2} 23 23 282: 882m 52% 28:2 .525 2822 Exam 28:2 .0 235% am 235% .2 258m / Ea: .Eem - 3382 2235 228% - _ 282 es 2.3 124 7.2.1 The Non-risk Constrained Solutions 7. 2. 1. 1 Activities in Solutions In all the three scenarios, fertilized maize/beans/pigeon peas is dominant on rainfed land in the non-risk constrained solutions. On dimba land, maize is dominant in Scenario A, tomatoes in Scenario B and sugarcane in Scenario C. The maximum mean returns for these three cases are MK1,158, MK1,482 and MK1,380. The base solution has an expected income of MK1,380. 7. 2. 1. 2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises The shadow price of dimba land has gone down from MK3,338 in base scenario to MK1,632 and MK1,421 in Scenarios A and B respectively. This is due to the low profit- ability of dimba maize and tomato at the prices and yields in these scenarios. Values of the sufficiency condition are higher for Scenario A and B, reflecting that its relaxing it by one unit would add more to the expected value of the objective function than in the base or Scenario C. Under Scenario A, sugarcane competes with dimba maize at zero cost per hectare on small farms; tomatoes at cost of MK37 per hectare on medium farms; and sugarcane and tomato both at zero cost per hectare on large farms. These results show that the kinds of crop mixes grown by farmers can be varied among dimba maize, tomato and sugarcane when the price of sugarcane is low. When it is high, as in the base solution, sugarcane is dominant. On rainfed land, maize/beans/groundnuts can be exchanged with fertilized maize/beans/pigeon peas at a cost of MK24/ha. The optimal crop mixtures are: maize/beans/pigeon peas, rainfed peas for rainfed land in all scenarios; on dimba land maize for Scenario A; tomato for Scenario B or sugarcane for Scenario C. Thus, fertilized maize/beans/pigeon peas is dominant under all scenarios with no risk aversion. But each scenario has a unique dimba crop. 125 7. 2. 1.3 Contribution of Dimba Crops to Income The proportional contribution of dimba crops to income under the three scenarios is shown in Table 7.7. The base scenario has a sugarcane price of MKO.50 and median tomato yields at MK1.00. Scenario A has a MKO.25 sugarcane price and median yields of tomato at a price of MK1.00. The contribution of dimba land falls from 35% in the base solution to 30% in Scenario A. Rainfed land contributes only 19% and off-farm IEAs 51% in Scenario A. In Scenario B, the price of sugarcane is at MKO.25 and mean tomato yield at MK1.00. Tomatoes are in the optimal solution. The contribution of dimba land is 48% and that of rainfed land 15 %. It is thus demonstrated that the contribution of dimba land to income is dependent on the price of what is grown on it. However, under each scenario the contribution of dimba crops to income is considerable. Table 7.7 Model I - Contribution of Dimba, and Rainfed Land Crops and Off-Farm IEAs to Total Income Under Three Scenarios Small Farms : Base Solution Scenario A Scenario B Scenario C Expected Income (MK) 138 1 158 1482 1380 Rainfed Land 16% 19% 15% 16% Dimba Land 35 % 30 % 48 % 35 % Off-farm IEAs 49% 51% 36% 49% a/ The figures are for the NRCON Solutions. The difference in proportions between the NRCON and Safety First solutions is mostly I to 2 percent. Source: Survey Data 1993 126 7 .2.2 Safety First Solutions 7. 2. 2.] Activities in Solutions at the 0. 25 Probability Limit Scenarios A and B have non-fertilized maize/beans/pigeon peas on rainfed land. Scenario A has maize and Scenario B has tomato on dimba gardens. Maize/beans/pigeon peas is sill optimal on rainfed land in Scenario C and sugarcane dominates in dimba land. There is a small amount of cabbage and dimba maize. These crop combinations generate incomes of MK1,118, MK1,455 and MK1,348 for the small farms with respect to the scenarios. 7. 2. 2.2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises The shadow prices of rainfed land are MK348 for Scenarios A and B, and MK2,296 in Scenario C. The much higher dual value in Scenario C is due to fertilized maize. For dimba land, these are MK4,481, MK10,151 and MK18,330. The difference is due to the profit that optimal crops in each scenario can generate. In Scenario A, tomatoes, sugarcane and cabbage can substitute each other depending on which crop is in the optimal solution. In Scenario B only cabbage competes with tomatoes at zero cost per hectare. Under Scenario C there in no competition to the sugarcane optimal solution on dimba land. 7. 2.2.3 The Contribution of Dimba Crops to Income The pattern here is the same as that for non-risk constrained solutions. The level of contribution depends on the prices and yields assumed. Scenario B has highest contribution from dimba crops (48 %). 7.3 Lessons from Model I The foremost lesson from Model I is the contrast between the results of the maize Production and income approaches. The first contrast is the level of incomes. Those of the 127 income approach are lower when the sufficiency condition is binding. The second difference is the optimal crop mixes. The non-risk constrained solutions have fertilized maize/beans/pigeon peas, whereas when safety first goals are constraining the non-fertilized maize/beans/pegion peas is optimal. With respect to cropping patterns, it was shown that when farmers are risk averse, stable and higher incomes from dimba crops can make fertilizing maize optimal. In the base scenario and also in Scenario C, the higher value of sugarcane, a very yield stable crop, enables fertilized maize to be optimal. However, under this model only local maize is optimal, not hybrid varieties. This may explain the disappointing past experience of non- adoption of hybrid varieties. Credit was made available only for hybrid maize and other rainfed crops. This did not solve the basic problem of income risk due to yield risk because all crops for which credit was available are subject to yield risk and have very low gross margins in bad years. Efforts to increase incomes from dimba cultivation can have the desired impact of making farmers adopt fertilizer on maize. Therefore, credit and extension programs need not be maize centered to encourage fertilizing for maize. Under current cropping practices, when a) farmers are very risk averse, or b) they base their safety goals on income (i.e. perceive fertilized maize as a cash crop), and have unstable and low non-rainfed land sources of income, they should not fertilize rainfed maize. The fact that a large proportion of farmers do fertilize their maize indicates that they have other sources of income to manage the risk of fertilizing maize or else they perceive fertilized maize as a food producing activity. Both of these factors are at work in this area. The analysis has shown dimba land can provide higher incomes. This plus the proximity of the large urban area of Limbe-Blantyre provides a reliable market for dimba crops for farmers from this area. Wage employment may also be a factor in the stabilizing incomes. The contribution of dimba crops to income varies from 35 % to 48 % depending on size of farm. It also depends on the value of crops grown. Small sized farms could derive half of their income from off-farm lGAs. 128 7 .4 Validating the Model Model 1 represents the current situation of farmers. The results of the model indicate that it performs reasonably well when compared to the descriptive results reported in Chapter 5. First, the activities in the solutions as well as the most competitive crops are dominant in farmers’ cropping patterns. These are maize based crop mixtures and relay peas on rainfed land, and with sugarcane, tomatoes, dimba maize, and cabbage in dimba gardens. The solutions to the base scenario and sensitivity analysis show that the model farms adjust to grow different crops depending on price relations. This implies that careful market studies should be done to assess the market and effective prices for crops in order to ascertain the optimal crop mixtures farmers should grow in different areas and at different times. It also implies that some method of managing supply is needed given the thin vegetable markets and related price volatility. The labor hired depends on the cropping mix in the optimal solution. Growing tomatoes or dimba maize calls for more hired labor than growing sugarcane. The LP results prescribe hiring labor only for large farms. In the survey results, all farm sizes hire labor, but the frequency is higher among larger farms. The difference between the LP and survey results may be explained by the observation that more adults from small sized farms households tend to work off-farm. In these households, hiring labor is used to substitute for the working persons. Another plausible explanation concerns the estimation of labor available. In this analysis, it was assumed that the equivalent of two adults are available to work 5 hours a day during rainy season and 6 hours in the dry season, 25 days in a month. These figures apply to all farm sizes. Some survey results indicate that small farms have less labor. For example, the 1984/85 annual survey of agriculture showed than the labor available varies from 510 to 1,548 person hours with respect to farm size (Malawi Government 1985). What is not clear in these reports is how the labor available was assessed. Assuming that only one adult is available to work the whole year, for only 3 hours a day gives about 1,000 person 129 hours. It appears that the hours reported as available are hours actually worked. In the LP results, small farms have so much agricultural slack labor that even if the amount available is reduced to half, they would not need to hire labor. This suggests that small farms may be using more than half of their available labor time on IEAs and, thus, need to hire labor to meet the requirements of cropping activities. In this part of Blantyre ADD farms take up seasonal wage labor in factories like those that process tobacco. Optimal solutions always include intercropped enterprises on rainfed land. This is a dominant practice in the area. Risk averse behavior favors diversification, and crops with high minimum returns which, in many cases, have low average gross margins. These are most likely to be enterprises that do not use fertilizer. To sum up, except for the case of hiring labor, the model tracks very well what the farmers are currently doing. It provides a rationale for the variety of cropping patterns that are observed. The variety of cropping mixes can be explained by difference in the level of safety first goals and crop yields and their prices. CHAPTER 8: MODEL II - CURRENT AND INTENSIVE CROPPING PRACTICES In this chapter the results of Model II are presented, discussed and compared to those of Model 1. Model II supplements Model I with the opportunities for farmers to upgrade their cropping practices from current to intensive status by using more chemicals, e.g. Copper Oxychloride, D.D.T., Sevin and Ripcord and fertilizers such as 2012020, Calcium Ammonium Nitrate, Double Ammonium Nitrate and Sulphate of Ammonium. They also use more labor on intensive enterprises. This is done without irrigation. Results of Model 11 should throw light on whether intensive cropping practices are optimal vis—a-vis current practices given that they require more expenditures on inputs and use of more labor. They also provide a base for measuring the worth of irrigation investments. Hybrid maize is included as an intensive activity intercropped with beans and pigeon peas. 8. 1. 1 Non -Risk Constrained Solutions and the Maize Production Approach 8. 1.1.1 Activities in Solutions The general pattern of solutions at the three probability levels is shown in Table 8.1 for small farms only. The non-risk constrained solution and the maize production approach give the same results as in Model 1. Hybrid maize has the highest maize yields and the highest gross returns on rainfed land. It is clear that hybrid maize combinations are optimal only at low levels of risk aversion (low safety goals or low probability limits). When risk aversion increases, intensive maize/beans/groundnuts is optimal on rainfed land. Hybrid maize is not optimal because of very low returns in years of drought. On dimba land, mixtures of the two crops, cabbage and chinese cabbage, vary depending on the goal and probability levels. Cabbage enters the solution in small amounts at high level of risk aversion because it has high yields in year 1 when chinese cabbage has low yields. Such crop diversification helps to manage risk. 130 131 The results pertaining to the 0.25 probability limit are in Table 8.2. When risk aversion is low, the farmers meet maximum feasible income goals with intensive maize/beans/pigeon peas and chinese cabbage. 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The shadow prices of land have shot up in Model 11 by 97% for rainfed land and 183% for dimba land. The dual value for relay use of rainfed land stays the same because the field peas crop does not have recommended intensive practices. These values show a dramatic increase in the value of land if intensive cropping practices are followed. On rainfed land, intensive maize/beans/groundnuts competes with hybrid maize/beans/pigeon peas at zero cost of forcing into solution, except on medium farms where it would cost a meager MKl l/ha. This shows that even when farmers are not risk averse, hybrid maize has serious competition from fertilized local maize based crop mixtures. This is due to low on—farm yields of these hybrid maize varieties. On dimba land, tomato competes with chinese cabbage on small farms and medium farms; and on large farms, cabbage and tomato compete with chinese cabbage—all of these at zero cost per hectare. 136 Table 8.3 Model II - Shadow Prices of Resource and Constraints Resource/Constraint SFIRST' NRCONb Land (MK/Ha) Rainfed Land 485.00 384.00 Relay Rainfed Land 88.00 41.00 Dimba Land 1,342.00 9,463.00 Labor All Months (MK/Person-hour) 0.25 0.25 Sufficiency Condition -0.51 0 a/ SFIRST = Safety First Solutions b/ NRCON = Non-risk Constrained Solution Source: Farm Survey 1993/LP88 Results 8.1.1.3 Contribution of Dimba Crops to Income In Model II, dimba crops contribute more to total income than in Model I. The results are displayed in Table 8.4. First, income increases by 64%, 75% and 98% respectively for the three farm sizes. Most of the increase is due to dimba crops. However, income from dimba crops increases by 202% for small farms, 195 % for medium farms and 186% for large farms. The average proportion of dimba income in total income has changed from 38% in Model I to 64% in Model II. These results highlight the importance of the dimba land resource and the potential of intensive dimba cultivation to significantly increase incomes. The flip side of this result is that most labor is now absorbed in intensive cultivation so that there is enough slack labor to generate only 21% of the total income from off-farm IGAs compared to 49% in Model I on small farms. The increase in total income is not enough to make up for the increase in labor use so that average returns to a person hour of 137 Table 8.4 . Model II - Contribution of Dimba and Rainfed Land and Off-Farm IEAs to Total Income in Non-risk Constrained Solution Size of Farm Small Medium Large Rainfed Land 15 % 25 % 28 % Dimba Land 64% 64% 67% Off-farm IGAS 21 % l 1 % 5 % Total Income (MK) 2,261 2,898 5,019 Source: Survey Data l993/LP88 Results labor used on farm work falls from MK2.21 in Model I to MK1.56 in Model H. Selling labor or IEAs as modelled here are not risky activities and should thus dominate the results. However, the returns to labor from farm production are significantly higher than the mimum wage of MKO.25, so that the use of labor on risky enterprises is optimal. 8.1.1.4 Maximum Feasible Maize Production The non-risk constrained solution coincides with the maximum goal solution using the maize production approach. The reason is the same as in Model I - Fertilized maize/beans/pigeon peas is mean-minimum dominant among the rainfed maize producing enterprises. The maximum feasible maize production goals for small and medium farms are 617 kg and 788 kg at the 0.25 probability limit (see Table 8.5). They correspond to expected maize production levels of 1,291 kg, 3,042 kg. Large farms can achieve their maize consumption requirements with no risk constraint. Therefore, when intensive cultivation is practiced, small and medium farms cannot expect to achieve their minimum maize consumption of 1,000 kg in 75 % of the cropping seasons. for are MK me: 35511 the. (Tab land 138 Table 8.5 Model 11 - Maximum Feasible Maize Production Goals by Allowable Probability of Failure Probability Limit Small Medium Large 0.25 617 788 NB 0.30 800 NB NB 0.40 895 NB NB NB = Not Binding, the 1,000 kg maize requirement can be met and does not constrain solution. Source: Survey Data 1993/LP88 Results 8.1.2 Safety First Solutions 8.1.2.1 Activities in the Solutions The optimal crop activities were shown in Table 8.2. They are fertilized maize/beans/groundnuts and cabbage with a small portion of chinese cabbage on dimba land for small and medium farms. Cabbage is the sole crop for large farms. The optimal returns are MK2,112, MK2,668 and MK5,019. They correspond to income goals of MK1,423, MK2,067, and MK2,500. The solution for large farms is not constrained by risk. Small and medium farms cannot hope to achieve their minimum income requirements. They can only assure that the optimal incomes are not less than MK1,423 and MK2,067 in three quarters of the cropping seasons. 8.]. 2. 2. Shadow Prices, Stability of Solutions and Competitiveness of Enterprises The shadow prices of rainfed and dimba land are MK485 and MK13,420 respectively (Table 8.3). The safety first premium of dimba land is thus MK3,957 and that for rainfed land MK101. These figures compare with MK1,605 and MK328 for Model I. In Model I 139 rainfed land has a higher safety first premium than in Model II. This shows that intensive farming practices on dimba land helps in managing risk. If the farmer is very risk averse, she should be willing to pay this risk premium over the value of crops to be produced from the land. This value can be used in appraising irrigation investments for cases where risk is structured as defined by yield variability in this study and farmers are as risk averse as specified by the goals and probability levels in this model. The dual of the sufficiency condition is ~0.51. When safety first income goals are at their maximum feasible for small and medium farms, hybrid maize does not present any competition to intensive maize/beans/groundnuts. On large farms, some of the current dimba enterprises, sugarcane, maize and maize/pumpkin leaves can be introduced at no cost. Intensive tomatoes and chinese cabbage would also cost nothing to introduce into the optimal solution. 8.1.2.3 Contribution of Dimba Crops to Total Income The structure of results for the contribution of various resources to income are the same as under the non-risk constrained solutions. Dimba land contributes 60% of total income. 8.1.2.4 The Maximum Feasible Maize Production The expected maize production levels when there is income risk aversion are 849 kg, 2,000 kg and 4,698 kg. These are lower than in the case of no risk aversion because now farmers need to grow those crops that maximize income while minimizing risk. 8.3 Lessons from Model II The first lesson from Model II is that intensive cultivation can make fertilizer use optimal even at high levels of risk aversion. This is due to the increased yields that can be achieved with intensive use of fertilizer. Second, when the income approach is used, dimba 140 land has a higher safety first premium than in Model 1, indicating the value of this land to the farmer in managing risk. The third lesson is that higher yields and incomes are still not enough to make hybrid maize optimal. Thus, even when intensive dimba cultivation is practiced farmers may find fertilized hybrid maize still too risky to adopt on rainfed land. CHAPTER 9: MODEL III - CURRENT, INTENSIVE AND IRRIGATED CROPPING PRACTICES Model III allows representative farms to select crops grown with current or intensive practices on rainfed land, and replaces dimba crops with irrigated ones. In Model III(a) dimba crops have been replaced by irrigated horticultural crops. In Model III(b) the irrigated crops are cereals-maize, rice and wheat. The area of irrigated land is limited to that of \ dimba land. This is done to facilitate comparison between the models. The discussion is based on a base scenario which assumes the costs of sprinkler irrigation and the prices that farmers attempted to get for their produce at the Mchenga and Diamphwe projects. Sensitivity analysis is done to demonstrate the impact of lower costs and prices on incomes. 9. 1 Base Solutions 9. 1.1 Model III(a): Irrigated Vegetables 9. 1.1 . I . Activities in Solutions The results for Model III(a) at the three probability levels for small farms are shown in Table 9.1. With irrigation available, yields become sufficiently stable so that differences between risk and safety first solutions are negligible. An important difference from Model II is that now hybrid maize can linger in the optimal solutions until the very end of the binding but feasible region, when intensive maize/beans/groundnuts takes over completely. The outcomes are not very different for the risk and non-risk constrained solutions: The optimal returns differ by a few Malawi Kwachas. The major difference is in the crops on rainfed land. The safety first constrained solution has intensive maize/beans/groundnuts while the non-risk solution has hybrid maize/beans/pigeon peas. The safety first goal at the level of minimum income requirement is binding only for small sized farms. For this reason and also because the non-risk constrained solutions coincide with solutions to the maize production approach, in most of the following discussion, reference is made only to the non-risk 141 142 constrained solutions. It is important to note that with irrigation, farmers who set their safety goals using the maize production approach will behave in almost the same way as those who use the income approach. The results for the 0.25 probability limit are shown in Table 9.2. Tomatoes in seasons 1 and 3, and cabbage in season 2 are optimal on dimba land. On rainfed land hybrid maize/beans/pigeon peas is optimal. The maximum expected incomes are MK3,066, MK3,947 and MK7,041 for the three farm sizes. Small farms hire labor, 220 person hours, only in August. Medium farms hire a total of 789 person hours in six months. Large famis hire 3,387 person hours in eight months. The level of crop selling and off-farm IEAs are displayed in Table 9.2. 9. I . I .2 Shadow Prices, Stability of Solutions and Competitiveness of Enterprises The dual values of land are shown in Table 9.3. The value is MK384 for rainfed land under non-risk constrained solution, and MK390 under the safety first solutions. For irrigated land the values increase from MK1,665 to MK1,795 due to risk in seasons 1 and 3, and from MK12,225 to MK13,296 in season 2. The safety first premiums of various types of land are also displayed in Table 9.3 for the three models. The magnitude of the safety first premium is dependent on the value of crops grown and the dual of the sufficiency condition. Rainfed land has less safety first premium as the risk of failure to meet the safety first goal decreases from Model I through to Model III. Despite the comparatively high value of irrigated crops in season 2, the safety first premium is lower than under intensive dimba cultivation because production risk is lower with irrigation. 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Mac SN mm om 88m 3: ~35 mm a? 0%: Essa Aaaaofic 823.2 ”5:2“ 8288 Na 05¢ 146 Table 9.3 Safety First Premium of Rainfed, Dimba and Irrigated Land in Models 1, II and III Model I Model [1 Model 111 DV SF DV SF DV SF NRCON Prem NRCON Prem NRCON Prem Rainfed Land 192 328 384 101 384 6 Dimba Land 1,632 1,605 13,420 3,957 na na IRLDSl na na na na 1,665 194 IRLDSZ na na na na 12 ,225 1 ,071 IRLDS3 na na na na 1,665 194 na = not applicable DV NRCON = Dual Value for Non-risk Constrained Solution SF Prem = Safety First Premium, the difference between dual value of non-risk constrained solution and safety first solution IRLDSl, IRLDSZ, IRLD83 = irrigated land seasons 1, 2 AND 3 Source: Survey Data/LP88 Results The dual value of the sufficiency condition under Model III is very low, -0.08, because the condition is not very constraining. Reducing the goal by MKl .00 will increase the returns by only 8 tambala. Put differently, safety first behavior is barely necessary when farmers use some formal irrigation. A caveat in this regard is that yields used in the analysis do vary by season but not by year. If yearly variation of seasonal yields is allowed the ’safety first’ premium would be higher.2 Some crops compete at low cost with those in solution: intensive maize/beans/groundnuts competes with hybrid maize/beans/pigeon peas on rainfed land at cost of MKl llha; and onions compete with cabbage in season 2 at a cost of (MKO.5)lha. In season 1 and 3 there is no competition with tomatoes. 2 A needed qualification is that sometimes other kinds of risk are introduced by participating in irrigation. Production becomes dependent on inputs whose supply may be unreliable. 147 Price stability analysis shows that pumpkin leaves would enter solution if its price rose to MKO.67/ kg, in seasons 1 and 3. However, it is unlikely that in season 3 prices would go up because markets for pumpkin leaves do glut. The price of beans would have to go up 50% to MK1.57 for that enterprise to enter solution, and the same for tomatoes in season 2. The case for tomatoes is more likely. Thus, farmers can split their plots between tomatoes and cabbage in season 2 if the cabbage price is anywhere near Mk1 .SO/kg, making three possible crops with onions as shown above. In season 1, both pumpkin leaves and tomatoes can be planted. In season 3, tomatoes are dominant. This is a season of extreme scarcity of tomatoes due to pests and diseases. Careful management to ensure high yields can lead to very high returns. Reports from irrigation projects indicate that extension staff and farmers have been slow in responding to some tomato diseases [Lilongwe ADD 1993(a)]. 9.1.1. 3 Contribution of Irrigated Crops to Total Income The contribution of irrigated cr0ps to income is shown in Table 9.4. On average it is 76%. Noticeable is that the possible contribution of ojffarm IEAs goes down to 14% from 49% in Model I for small farms, 3] % to 8% for medium farms and 12 % to 2% in the case of large farms. This is evidence that irrigation can absorb a lot of labor. Our approach to off- farm IEAs is to assume alternative use of agricultural slack labor at MKO.25. The opportunity to use it may not exist, and in that instance irrigation provides a way of assuring that there is less under- or unemployment. 148 Table 9.4 Model III(a) - Contribution of Irrigated and Rainfed Land and Off-Farm IEAs to Total Income Size of Farm Small Medium Large Rainfed Land 10 % 17 % 20 % Irrigated Land 76 % 75 % 78 % Off-Farm IEAs 14 % 8 % 2 % Total Income (MK) 3,066 3 ,947 7,041 Source: Survey Data 1993/LP88 Results As in the cases of Models I and II, the contribution of land depends on the profitability of the enterprises grown on it. In Model III an important determinant of profitability is the cost of irrigation. The lower the cost of irrigation the higher the contribution of irrigated land to income. In particular, gravity fed/furrows irrigation can lead to farms generating up to 81% of income from their irrigated land. 9.1.1.4 Maximum Feasible Maize Production The maximum feasible maize yields are the same as under Model 11; the reason being that the same optimal activity hybrid maize/beans/pigeon peas will give these yields. However the total income possible does change and is the same as in the non-risk constrained solutions for Model III. 9.1.2. Sensitivity Analysis for Model III(a) 9.1.2.1 Sensitivity to Changes in Cost of Irrigation The results of expected income by type of irrigation are presented in Table 9.5 and provide some important insights. First, the returns to farmers for the four types of irrigation show the profit that farmers can generate if government were to subsidize sprinkler irrigation. 149 Second, even seemingly high cost sprinkler irrigation has the potential to give returns above the costs of capital and operations. This is in spite of low yields for some seasons. Table 9.5 Model 111 - Returns Under Various Types of Irrigation for Small Famis Costs Relative Pump/Sprinkler Costs (MK)‘ System Returns (MK) Pump/Sprinkler 7,379 100% 3,066 Pump/Furrows 4,776 34% 3,386 Borehole/Furrows 2,166 70% 3,726 Tank/Furrows 1,852 74% 3,767 Gravity/Furrows 621 91 % 3,927 1/ Costs include amortized debt, maintenance and operating costs Source: Department of Irrigation, Lilongwe ADD & LP Analysis 9.1.2.2 Sensitivity to Changes in Prices of Output (With Sprinkler Irrigation) Sensitivity analysis for the price of tomatoes, and chinese cabbage. The prices of these two crops vary much by season and they are the most difficult to sell because of high perishability. When the price of tomato in seasons 1 and 3 is reduced from MK2.00 to MKl.00, the returns drop to MK2,691 for small farms, and chinese cabbage comes into solution in both seasons. The dual values of irrigated land in seasons 1 and 3 fall accordingly to MK216. Then pumpkin leaves show strong competition. The price increase necessary for pumpkin leaves to enter solution is only MK0.04. The same is true for beans, at MKO. 10. Tomatoes could go back into solution at MK1.41. Therefore, if farmers cannot get a good price for tomatoes in seasons 1 and 3 ( i.e. > ‘MK1.41) they can also plant pumpkin leaves and beans. Holding the above scenario constant, and adding a lower price of chinese cabbage leads to a lower income still, MK2635, since no activity can substitute the two chinese 150 cabbage crops and the land should be left fallow. This result is of special concern since leafy vegetables are difficult to market (LADD 1993). Farmers may have to reckon with low prices and it may be optimal to not grow crops in some seasons. However, they can grow crops if less costly irrigation is used. Cabbage still remains in solution under this scenario. However, farmers will need to use earnings from growing cabbage to pay the whole year’s debt. Since the debt is split into MK313 for every season, MK626 will be subtracted farther from MK2,635 to give MK2,009. In this case, it is still possible for farmers to make a positive yearly income. They are at almost the same level as in Model 11 (MK2112)3. If irrigation is done by farmers without dimba land and with only 0.45 hectare of rainfed land, this income represents a significant improvement since dimba land small sized farms can expect an income of only MK946. This income improves the situation of small sized farms with dimba land from MKl,38O in Model I to MK2,009 in Model III(a). 9.1.2.3 Sensitivity to Changes in Wages The minimum wage of MKO.25 is reduced by 50% for both labor selling and labor hiring activities. The results show that small farms’ expected returns fall by MK30 and for large farms they increase by MK103 to MK7144. Medium farms are not affected because they sell as much labor as they hire. 9. 1.3 Model III(b): Irrigation of Cereals Model III(b) deals with growing cereal crops of maize, rice and wheat using gravity fed irrigation in addition to rainfed crops. Two cropping seasons with irrigation are modelled in addition to the normal rainfed cultivation practices. Enterprise budgeting showed gravity fed irrigation to be the most financially robust way to irrigate cereals. (See Tables A6.8 and A6.9, and A6.16-A6.19 in Appendix A for gross returns to growing cereals with the different 3 This is the return at maximum goal in Model II. Since irrigation practically removes risk, it is fair to compare the two figures. 151 irrigation methods.) Wheat and maize have not been grown extensively using irrigation. Enterprise budget analysis shows that when maize is grown intercropped with beans it may be more profitable than growing rice monocropped. The emphasis on irrigating rice has been justified by its stronger foreign exchange earning ability compared to maize. Irrigating wheat may increase production and thereby save foreign exchange since wheat is mostly imported. The demand for wheat is ever-increasing, with increased urbanization and demand for fast foods. The government of Malawi has expressed need to encourage growing of wheat with irrigation [Malawi Government 1992(c)]. 9. 1.3.1. Activities in Solution When the representative farms are operated with no risk aversion, it is optimal to grow hybrid maize, with beans and pigeon peas, and relay field peas on rainfed land. Wheat is optimal in both seasons on irrigated land. The gross returns are MK1,223, MK1,536 and MK2,361 with respect to farm size. These figures are lower than for those for Model I. The shadow price of MK681 for the two irrigation seasons is the returns to growing wheat. Those of rainfed land remain at MK381 and MK41. 9.1.3.2. Shadow Prices, Price Stability and Competitiveness of Solutions Under the maize production approach, the dual values for land are MK390, MK47, and MK766 for rainfed, relay rainfed and the two irrigation seasons respectively. Price stability analysis shows that wheat will remain in solution unless its price drops to MKO.39. Intensive maize/beans/groundnuts competes with hybrid maize/beans on rainfed land. On irrigated land there is no competition to wheat from rice or maize. Forcing them into solution would cost MK643 and MK569 respectively. In this model, the maize safety first goals are not binding, except for small farms. Thus, small farms can now meet cereal consumption requirements but are still constrained by risk aversion behavior. With the income approach, intensive maize/beans and groundnuts are 152 optimal on rainfed land and wheat in the two irrigation seasons. Hybrid maize is optimal at moderately high levels of risk aversion. Large, medium and small farms can assure that the expected returns of MK2,333, MK1,524 and MK1,218 are above goal levels of MK41], MK680 and MK1451 in 75% of the cropping seasons. 9.2. Lessons from Model 111 With irrigation, farmers can meet their minimum income requirements in 75 % of the cropping seasons especially if lower cost irrigation is used. Model small forms may not be self-suflicient in maize production if all the irrigated land is used for horticultural crops, but they can earn enough income to meet their subsistence needs in 75 % of cropping seasons. The representative households may now be able to use almost all their labor on their farms. This can help to control rural-urban migration. In addition, the returns to labor used on the farm are higher than minimum wage of MKO.25. Farmers without dimba land can benefit from irrigation, even the costly sprinkler system. This is the case even with low yields and prices of crops in some seasons. It is necessary that they get good yields and prices in at least one season to profitably use the system. Sensitivity analysis results show that even when prices of some horticultural crops are lowered, the optimal solutions do not include unfertilized maize crops, as was the case in Model 1. Thus, irrigated cultivation may enable adoption of fertilizer on rainfed maize. In Model II, hybrid maize is optimal at low levels of safety goals. As soon as the sufficiency condition becomes binding it is forced out of solution because it aggravates the risk already existent with dimba cultivation. In Model 111, even at moderately high safety goals, hybrid maize remains in solution because the stable yields of irrigated crops make it less risky to grow hybrid maize. This is good for both food and income security since hybrid maize increases returns to rainfed land. 153 Irrigation may be considered superior to intensive dimba cultivation in that it can encourage the adoption of fertilized hybrid maize varieties on rainfed land by farmers with moderately high risk aversion, even when they view it as cash crop (i.e. income approach). This is important because the growing of maize using most irrigation methods may be unprofitable; therefore, other sources of stable income may be needed to cushion against the risk of growing it under rainfed conditions. This can have a very significant positive impact on food security if the hybrids are of types preferred by farmers and can also improve returns to rainfed land. Model III(b) has an important lesson. Although it leads to lower gross returns than Models I and III and III(a), it has potential to assure representative farms of all sizes of their cereal requirements in 75% of the cropping seasons. In Models I, II and III(a) only large farms could hope to achieve cereal self-sufficiency in 75 % of the cropping seasons. In situations where markets for cereals do not function well and markets for horticultural crops are uncertain, this may be the most attractive way of dealing with food insecurity in households. In this case, rather than just growing only rice, households should be helped to adopt mixed cropping with irrigation. CHAPTER 10: SUMMARY, CONCLUSIONS AND RECOMMENDATIONS 10.1 Summary of Objectives and Research Methodology The Government of Malawi places considerable emphasis on ensuring that all people have a timely, reliable and nutritionally adequate food supply. Yet food insecurity is still a major problem among rural smallholder households. Under existing agricultural polices, the chances of most households attaining food security are dismal owing to the risky nature of rainfed, low-input crop farming. The goal of this study was to investigate the potential of intensive dimba cultivation and small scale irrigation to improve the food security position of smallholder households. The specific objectives were: 1) to understand the current pattern of land use of both dimba land and rainfed land for agricultural production in the Chiradzulu North Extension Planing Area (EPA); 2) to compile enterprise budgets for farm activities congruent with land and labor use as determined above; 3) to estimate the contributions of dimba crops to household food income and food security; 4) to identify technically feasible crop/irrigation technology packages that can be used to increase production of crops; 5) to estimate the possible contributions of irrigated crops to household income and food security; 6) to select crop/ irrigation technology packages that contribute most to improving food security; 7) to make policy and research recommendations based on the findings of the study to appropriate institutions. To achieve these objectives, a field study was conducted during November 1992 to February 1993 among smallholder farming households in Chiradzulu North Extension 154 155 Planning Area of Blantyre ADD. Sampling of households was done purposively to get enough households with dimba land. Three questionnaires (one for households, one for enterprises, and one for garden measurement) were used to obtain data consistent with the objectives. Secondary data sources were used to supplement survey data to get yields on irrigated crops and the kind of techniques that can be used for irrigation, as well as farmers’ experience with irrigation. The data are used to describe land and labor use patterns in the area and to compile enterprise budgets to supply technical co-efficients that are used to implement a safety first Target MOTAD programming model. The use of this model assumes that farmers are risk averse and practice safety first behavior when deciding what crop production or IEAs to engage in. The safety first behavior is modeled using Telser’s probabilistic criterion. The criterion is imposed in Target MOTAD with a sufficiency condition that uses Atwood’s (1985) lower partial moments approach. The algorithm selects the activity mix which optimizes expected income while simultaneously enforcing probabilistic constraints upon negative deviations of specified goal variables from a target level using the least constraining linear lower partial moment stochastic inequality. Two different probablistic constraint approaches are specified, one using maize production and the other using income. To implement the Target MOTAD, a programming tableau of activities and resources constraints was formulated. The activities included were crop production and selling activities, labor hiring and selling activities, and deviation counters. Constraints were family labor, land, accounting rows, and chance and deviation rows. The technical co-efficients were derived from enterprise budgets of current, intensive and irrigated crops. 10.2 Summary of Farm Survey Results The sample size was 270 of which nearly 20% were female headed households. Fifty- two percent of the household heads were literate. Median household size was 5. Small farms (less than 0.7 ha), medium farms (< 0.7 up to 1.5 ha), and large farms (1.5 or more 156 ha) made up 16.3%, 36.3% and 47.4% of the sample respectively. Due to selection of households possessing dimba land, the households in the survey were generally better endowed with land than most in the area with a mean land holding of 1.7 hectares. (The average in the area is estimated at 0.8 ha.) On average, 1.5 ha was rainfed land and 0.24 ha dimba land. Small farms had an average of 0.45 ha of rainfed land and 0.13 ha dimba land; for medium farms the respective figures were 1.06 ha and 0.17 ha, and for large farms 2.49 ha and 0.33 ha. The dominant crop mixtures grown on rainfed land were maize/beans, peas, maize alone, maize/beans/pigeon peas, and maize/beans/groundnuts. For dimba land they were sugarcane, maize, cabbage and tomato. The survey households were more likely to use fertilizer than is the case among typical smallholder households in Malawi. A large minority hired labor for fertilized maize- based crop mixtures grown on rainfed land. Pesticides were used on dimba crops of chinese cabbage, cabbage, tomato and rape. Although all households farmed some land, nearly 30% of heads of households do not consider farming their main occupation. They generally produce enough maize when rainfall comes in good amounts. The majority, 71%, are willing to use and invest in irrigation. However, they foresee problems in organization and implementation. 10.3 Summary of Mathematical Programming Results 10. 3. 1 Cropping Activities The results of Model I for base scenario and sensitivity analysis show that in the farmers’ current situations, some risky crops (e. g. fertilized maize/beans/pigeon peas) are optimal when sources of income from dimba crops are high and stable, e.g. from sugarcane, or when safety first goals are based on maize production. Not fertilizing maize-based crop mixtures can be optimal when risk avoidance behavior is very conservative (i.e. safety first 157 goals are very high and/or allowable probability of failure is low) and income from dimba crops is unstable and very low in drought years. This result indicates that to encourage farmers to use fertilizer on maize, maize yields must be stabilized (as by irrigation) or farmers need to have other non-rainfed-land stable sources of income to manage maize production risk. This is borne out by observance that it is farmers who have collateral or other sources of income that usually participate in credit programs. for maize (Center for Social Research 1988, Ngwira 1988). The results of Model 11 show that medium intensity levels of fertilizer use, as in intensive local maize/beans/groundnuts, may be optimal even at high levels of risk aversion. This is made possible by the higher incomes from intensive dimba cultivation. However, the high level of fertilizer use as on hybrid maize is still too risky for farmers to adopt. With irrigation in Model III(a), hybrid maize is optimal on rainfed land with no risk aversion in both versions. With risk aversion, stable incomes from irrigated crops make intensive maize/beans lgroundnuts optimal at the highest levels of risk aversion; and hybrid maize is optimal at moderately high levels of risk aversion. In Model III(b), hybrid maize is also optimal at moderately high levels of risk aversion. Wheat is optimal in season one, and maize/beans in season two. The results of Model HI supports the conclusion that both stable and high incomes from non-rainfed land cultivation should encourage the use of fertilizer on maize based crop mixtures. 10. 3. 2. Expected Income and Contribution of Dimba Crops to Total Income The results from the three models are summarized in Table 10.1. They include expected income, maximum feasible goals and optimal levels of maize production. 10. 3. 2. 1. Current Cropping Practices The returns to production on representative farms in the current situation are very low: MK1,380, MK1,657 and MK2,529 for small, medium and large farms. With them, 158 small and medium farms achieve 55 % , and 66% of the minimum income requirements of MKZ,500. Only large farm households can be certain of achieving these minimum income requirements in 75 % of the cropping seasons. With risk aversion, the expected incomes drop to MK1,359, MK1,638 and MK2,471, and these incomes can be greater than the income goal levels of MK576, MK903 and MK1,863 in 75% of cropping seasons. These results suggest that many households in the small and medium size categories are affected by poverty resulting in malnutrition, morbidity and mortality. Dimba land contributes significantly to the income: 35%, 38% and 47 % of total income on small, medium and large farms in the base scenario. Thus, under current cropping practices, dimba land can be of equal or greater importance compared to rainfed land for providing livelihoods to households depending on the size of land holdings. The level of contribution will also depend on the value of crops grown which in turn depends on costs and prices of input and output. However, under most scenarios of low prices, dimba land still contributes a significant portion of total income. This is important given the small sizes of these dimba plots. It is evident that creating small tracts of irrigated land has the potential to significantly change the food security situation of households through providing higher incomes. Under current circumstances, model farms can generate a good portion of their income from off-farm income earning activities (IEAs) especially in the small farm category where 49% of income can be so derived. These figures are 31% and 12% for the medium and large farms. The model small farms have underemployed agricultural labor in almost all months, totalling 2,704 person hours which can be used in off-farm IEAs. Medium sized farms have 2,055 person hours. The large farms need to hire labor in some months (totalling 855 person-hours) and have 1,220 person hours to put to IEAs or employment at other times. 159 10. 3. 2. 2 Intensive Cropping Practices When enterprises that use intensive fertilizer and chemical input levels are considered, potential expected incomes increase significantly. For farmers indifferent to risk, incomes for small farms increase from MK1,380 in Model I to MK2,261 in Model II, for medium farms from MK1,657 to MK2,898, and for large farms from MK2,529 to MK5,019, meeting 62% and 80% of the requirements of small and medium farms. However, small and medium farms can not be certain of achieving incomes higher than subsistence requirements in 75 % of cropping seasons. Given the land resources, intensive crop practices without irrigation may not solve the food security problems of small and medium farm families. What changes significantly when intensive enterprises are considered is that dimba crops can contribute much more to income than rainfed crops because of the very high yields that can be achieved. The portion of income that can be derived from dimba crops increases from 35% in Model I to 64% in Model II for small farms; from 38% to 64% for medium farms and from 47% to 67% for large farms. Due to the high labor demand of intensive crops, slack labor available for off-farm IEAs drops. Consequently, income that can be generated from IEAs falls from 49% in Model Ito 21% in Model 11 for small farms. For medium farms it falls from 31% to 11%, and for large farms the drop is from 12% to 5%. 10. 3. 2.3 Irrigated Crop Practices With sprinkler irrigation for horticultural crops, potential incomes increase to MK3,066, MK3,947 and MK7,041 respectively for small, medium, and large farms. However, it is possible to get MK3,927, MK5,072 and MK9,225 when gravity-fed irrigation is used for horticultural crops. Thus, it is possible for all farm sizes to meet minimum income requirements with irrigation for horticultural crops. Irrigated land can contribute from 75 % to 81% of expected returns depending on the type of irrigation that is used. 160 With sprinkler irrigation for horticultural crops, all the representative farm sizes need to hire labor-220, 789 and 3,387 person-hours with respect to small, medium, and large farm sizes respectively. The proportion of income that comes from off-farm IEAS is 14% , 8% and 2% respectively. This is a significant drop from 49%, 31% and 12% in Model 1. Thus, irrigation has the capacity to absorb slack labor and provide higher returns to labor than minimum wage employment. When gravity fed irrigation is used for cereals, income are lower--MK1,223, MK1,536 and MK2,361 with respect to small, medium and large farms. 161 Table 10.1 Comparison of Expected Returns, Maximum Feasible Goals and Maize Production Models I, II and III NRCON SAFETY FIRST Exp.Income' Exp.Income(MK) Exp.Income(MK) (MK) (Goal- 2 (Goal-Maize Kg)2 Maize Prod. (Kg) Maize Prod. (Kg) Model 1 Small Farms 1380 1359 (576) 310 1380 (300) 668 Medium Farms 1657 1638 (903) 1251 1657 (708) 1480 Large Farms 2529 2471 (1864) 2779 2429 (1000) 3476 Model 11 Small Farms 2261 2112 (1423) 849 2261 (617) 1292 Medium Farms 2898 2668 (2067) 2000 2898 (788) 3042 Large Farms 5019 5019 (2500) 2898 5019 (1000) 3478 Model III(a) Small Farms 3066 3061 (2500) 853 3066 (617) 1292 Medium Farms 3947 3847 (2500) 3042 3947 (788) 3042 Large Farms 7041 7041 (2500) 7146 7041 (1000) 7146 Model HI(b) Small Farms 1223 1291 1218 (411) 855 1150 (1000) 1675 Medium Farms 1536 1524 (680) 2004 1536 (1000) 3042 Large Farms 2361 2333 (1451) 4699 2361 (1000) 7146 1/ Maize produced under non risk constrained solution is same as under maize production approach except for small farms in Model III(b). The goal for NRCON solutions is zero. 2/ The expected income can be achieved while meeting the goal in 75% of cropping 86880118 . 3/ Model I-Current Crop Practices; Model II-Intensive Crop Practices; Model III(a) Sprinkler Irrigation for Horticultural Crops; Model III(b) - Gravity-fed Irrigation for Cereals . NRCON : Non-risk constrained solutions Safety first: Safety first solutions 162 10. 3. 4. Shadow Prices of Resources and Constraints Under Model I, dimba land has a higher safety first premium than that of irrigated land in season 2 when the dual value is many times higher. This reflects the high value of land to meeting the sufficiency condition in Model 1 when income safety goals are very high. Put differently, under current crop production practices farmers would greatly benefit from acquiring more irrigated land to enable them to achieve safety first income goals as specified in this model. 10. 3. 5. Maximum Feasible Maize Production Under current crop production practices, only large model farms can meet the specified minimum maize requirement of 1,000 kilograms per household in at least 75 % of the cropping seasons from own production. Medium farms can be self-sufficient in maize in at least 67% of the cropping seasons with intensive cultivation practices. Small farms cannot expect to be self-sufficient in maize at the probability constraints used here even with irrigation, if irrigated land is not used to grow cereals for food. However, they can generate enough income to meet their subsistence income requirements. 10.4. Lessons from Analysis of Programming Results 1) Current and intensive crop farming may not lead to returns or maize yields that solve the food security problems of small and medium farms. Irrigated crop farming has potential to increase income of small farms or help them attain maize self-sufficiency. This finding indicates that for farms without dimba land, food insecurity can be dealt with by irrigating either horticultural or cereal crops depending on market conditions for horticultural crops. 2) Intensive dimba cultivation generates high enough incomes to cushion farmers from the risk of fertilizing local maize varieties or using fertilizer at medium intensity. It may thus be concluded that if employment and IEAs are limited, and irrigation is not 3) 4) 5) 6) 163 feasible, intensifying dimba cultivation is not just an alternative but should be part of the strategy to improve food security. When income safety goals are high, hybrid maize is not optimal and cannot compete with other maize based crop mixtures. This result has been supported by other studies which show that it is not worthwhile to grow hybrid maize in bad years (Smale 1991). However, this study goes further by showing that as long as farmers are very risk averse (i.e. want to meet income subsistence needs in 75 % of cropping seasons), and bad years come as frequently as once every four years, farmers should not grow hybrid maize. However, if they have irrigation, they may grow hybrids or use fertilizer intensively even when they have moderately high risk aversion. All four models do not include hybrid maize at the highest feasible income safety goals. Thus, as long as farmers a) view hybrids as cash crops and not a source of household food consumption requirements, and b) are very risk averse, they may not grow hybrid maize unless its price or on-fann yield increases significantly. This finding supports the view that varietal change in breeding and extension should encourage the new trend which emphasizes semi-flint varieties, e. g. MH18 if farmers are to adopt hybrids. Although growing hybrids does not generate the same income as dimba crops, it increases the income returns to rainfed land by 96% , and also assures higher minimum maize production. Both of these contribute positively to food security. The LP. solutions based on the maize production approach have maize-based crop mixtures using fertilizer. If farmers set their safety first goals using the maize production approach, failure of to use fertilizer may be construed as lack of access to fertilizer. When gravity fed irrigation is used for cereals, model farms achieve lower incomes, but their cereal consumption requirements can be met. Thus, if it is not possible to establish marketing arrangements that make growing vegetables profitable, gravity fed 164 irrigation should be used to grow cereals. This should be the case for most rural areas that are far from urban centers. When farmers in the small and medium landholdings set their safety first goals using the income approach, irrigating cereals is not attractive because the expected incomes cannot meet their subsistence requirements. 7) Most of the risk—constrained solutions show the need for diversification. Different crops do well in different years. Diversification is shown to be important to optimize income in situations of risk aversion and also to assure food security. It is important that credit and extension which is currently centered on maize be diversified. 10.5 Recommendations for Dimba Cultivation and Irrigation Having found that 1) smallholder farmers should not grow hybrid maize if they are very risk averse and income oriented in their safety goals, 2) moderately risk averse farmers can grow hybrid maize with gravity-fed irrigation, 3) small farms will not meet their goals of achieving maize consumption requirements in 75 % of the cropping seasons unless they irrigate cereals, and 4) intensive dimba cultivation and irrigation has significant potential to increase income it is recommended that: smallholder farmers with dimba land should be targeted with credit and extension 1) for dimba crops, rather than rainfed maize, particularly those in the smallest size category. 2) farmers without dimba land should be assisted in establishing and investing in irrigation for either horticultural or cereal crops, depending on the market situation. The government recognizes that small farms can not produce their food requirements from their gardens or meet minimum income requirements. The results of this study indicate that irrigation can enable households with small farms to generate enough income to purchase food. Irrigation can have the double-edged role in food security of increasing self-sufficiency in maize and generating adequate income to purchase food. 165 Having found that as long as farmers are risk averse and view hybrid maize as a cash craps (i.e. income approach), and not a source of household food consumption requirements, they may not grow it unless its price or on-farm yield increases significantly, it is recommended that: 3) maize breeding research and extension should encourage the new trend which emphasizes semi-flint varieties. These semi-flint varieties have storage and processing characteristics preferred by farmers for own consumption maize. Although growing hybrids does not generate as much income as dimba crops, it increases the income returns to rainfed land by 96 % and assures a higher minimum maize production. Having shown that when farmers set their safety goals using a maize production approach, the failure to use fertilizer can be construed as lack of access to fertilizer, and cognizant of evidence that many smallholder farmers do not use fertilizer, it is recommended that: 4) the credit and extension program should allow wider access to inputs. This may include detaching credit from government extension programs and encouraging formation agricultural credit associations. Since safety first solutions show the need for diversification and since diversification spreads income risk, and enhances food security, it is recommended that: 5) the credit and extension which are currently centered on maize be diversified to put more emphasis on other crops. This should help to make it less risky to fertilize maize. 1 0.6 Recommendations for Future Research For future research, it is recommended: 6) more farm production studies of horticultural craps be done to enhance the quality of input-output data. 166 This would certainly improve the reliability of subsequent studies validating the results presented here. marketing studies be conducted on horticultural crops. 7) This is necessary in order to improve understanding of vegetable markets and the possible ways to improve their efficiency and assess the price to be expected with additional products from different levels of irrigated land. As optimal crop/technology packages depend on marketing and pricing arrangements, these studies can help in refining decisions on crops that should be grown on dimba in each season and on rainfed land. This will have implications for government infrastructural investments. community and institutional organization studies be conducted for local management and financing of irrigation projects. The information would help increase the chance of successfully implementing 8) irrigation projects. All in all, this study provides ample evidence that intensive dimba cultivation and small scale irrigation can have a two-fold enhancing effect on household food security by both encouraging adoption of fertilized maize and generating significantly higher incomes with which to purchase food. APPENDIX A EXPLANATORY NOTES FOR ABBREVIATIONS USED IN ENTERPRISE maint. of farm equip. inv. in irrig. equip. 1/prep. irrig. fert. harv. BUDGETS tin containing seed and volume of 300 ml kilogram measuring cup with volume of 50 ml Malawi Kwacha (at time of study US$1 = MK4.20) person hours of labor packet, the packet for chemicals applied to tomato and cabbage weighs 200 g maintenance of farm equipment investment in irrigation equipment land preparation irrigate fertilize harvest 167 168 Table A6.] Enterprise Budget for 1 Hectare of Current Non-Fertilized Local Maize Quantity Price Value (MK) (MK) Output (kg) 448.00 0.33 161.50 Variable Costs Seed (kg) 25.00 0.33 8.25 Fertilizer (kg) 0.00 0.00 0.00 Marketing (p/h) 488.00 0.03 12.20 Maint. of Farm Equip. 0.33 19.85 6.55 Total Variable Costs 27.00 Gross Margin 134.50 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January 85 85 February 0 March 0 April 25 25 May 25 25 June 0 July 0 August 151 151 September 151 151 October 19 19 November 19 19 December 85 85 TOTAL ' 302 38 170 50 560 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 169 Table A6.2 Enterprise Budget for l Hectare of Current Fertilized Local Maize Quantity Price Value (MK) (MK) Output (kg) 1,051.00 0.33 346.83 Variable Costs Seed (kg) 25.00 0.33 8.25 Fertilizer (kg) 110.00 1.00 110.00 Marketing (p/h) 1,051.00 0.03 26.28 Maint. of Farm Equip. 0.33 19.85 6.55 Total Variable Costs 151.00 195.33 " GrossMargin Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January 85 28 113 February 0 March 0 April 38 38 May 38 38 June 0 July 0 August 151 151 September 151 151 October 19 19 November 19 19 December 85 28 113 TOTAL 302 38 170 56 76 642 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 170 Table A6.3 Enterprise Budget for 1 Hectare of Intensive Local Maize Quantity Price Value (MK) (MK) Output (kg) 2,561.00 0.33 830.50 Variable Costs Seed (kg) 25.00 0.33 8.25 Fertilizer (kg) 160.00 1.00 160.00 Marketing (p/h) 2,516.00 0.03 62.90 Maint. of Farm Equip. 0.33 19.85 6.55 Total Variable Costs 237.70 Gross Margin 592.80 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January 85 41 126 February 0 March ‘ 0 April 91 91 May 91 91 June 0 July 0 August 151 151 September 151 151 October 19 19 November 19 19 December 85 41 126 TOTAL 302 38 170 82 182 774 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 171 Table A6.4 Enterprise Budget for l Hectare of Hybrid Maize Quantity Price (MK) Output (kg) 3,652.00 0.33 Variable Costs Seed (kg) 25.00 0.33 Fertilizer (kg) 370.00 1.00 Marketing (p/h) 3,652.00 0.03 Maint. of Farm Equip. 0.33 19.85 Total Variable Costs Gross Margin Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv January 85 41 February March April 91 May 91 June July August 151 September 151 October 19 November 19 December 85 41 TOTAL 302 38 170 82 182 Value (MK) 1,205.16 Total 126 91 91 151 151 19 19 126 774 8.25 370.00 74.98 6.55 459.78 745.38 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 172 Table A6.5 Enterprise Budget for 1 Hectare of Current Non-Fertilized Maize/Beans Quantity Output (kg) Maize 514.00 Beans 45.00 Gross Value Variable Costs Seed (kg) Maize 25.00 Beans 40.00 Marketing (p/h) 559.00 Maint. of Farm Equip. 0.33 Total Variable Costs Gross Margin Labor Input (Median) Person-hours Month January 85 February March April May June July August 151 September 151 October 19 November 19 December 85 TOTAL 302 38 170 0 Price (MK) 0.33 0.65 0.33 0.65 0.03 19.85 L/Prep Plant Weed Irrig Fert Harv 27 27 54 Total 85 27 27 151 151 19 19 85 564 Value (MK) 169.62 29.50 415.77 8.25 26.00 13.97 6.55 54.77 361.00 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 173 Table A6.6 Enterprise Budget for l Hectare of Fertilized Local Maize/Beans 370.62 8.25 Price (MK) Output (kg) Maize 0.33 Beans 0.65 Gross Value (MK) Variable Costs Seed (kg) Maize 0.33 Beans 0.65 Fertilizer (kg) 1.00 Marketing (p/h) 0.03 Maint. of Farm Equip. 19.85 Total Variable Costs Gross Margin Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv January 26 February March April 48 May 48 June July August 151 September 151 October 19 November 19 December 26 TOTAL 302 38 170 52 96 Total 111 48 48 15.1 151 19 19 111 658 Value (MK) 44.80 415.42 26.00 120.00 29.83 6.55 190.63 224.79 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 174 Table A6.7 Enterprise Budget for l Hectare of Intensive Fertilized Maize/Beans Quantity Price Value (MK) (MK) Outpm (kg) Maize 2,049.00 0.33 676.17 Beans 151.00 0.65 98.15 Gross Value (MK) 774.32 Variable Costs Seed Maize (kg) 25.00 0.33 8.25 .. Beans 40.00 0.65 26.00 Fertilizer 160.00 1.00 160.00 Marketing (p/h) 2,200.00 0.03 55.00 Maint. of Farm Equip. 0.33 19.85 6.55 Total Variable Costs 255.86 Gross Margin 518.45 Labor Input (Median) Person-hours Month LlPrep Plant Weed Irrig Fert Harv Total January 85 34 119 February 0 March 0 April 56 56 May 56 56 June 0 July 0 August 151 151 September 151 151 October 19 19 November 19 19 December 85 34 119 TOTAL 302 38 170 0 68 112 690 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 175 Table A6.8 Enterprise Budget for 1 Hectare of Hybrid Maize/Beans Irrigated Using Gravity/Furrows Quantity Price (MK) Output (kg) Maize 2,999.00 0.33 Beans 402.00 0.65 Gross value 1, Variable Costs Seed (kg) Maize 25.00 0.330 Beans 40.00 0.650 Fertilizer (kg) 370.00 1.000 Marketing (p/h) 3,401.00 0.025 Maint. of Farm Equip. 0.33 19.850 Maint. of Irrig. Equip. Investment in Irrig. Equip. Total Variable Costs Gross Margin Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January February March April 151 151 May 151 38 150 339 June 85 150 84 319 July 85 150 84 319 August 298 298 September October November December TOTAL 302 38 170 450 168 298 1,426 Value (MK) 989.76 261.30 250.97 8.25 26.00 370.00 85.03 6.55 50.00 259.00 804.83 446.14 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 176 Table A6.9 Enterprise Budget for 1 Hectare of Hybrid Maize/Beans Irrigated Using Pinup/Sprinklers Quantity Price Value (MK) (MK) Maize (kg) 2,999.00 0.33 989.76 Beans (kg) 402.00 0.65 261.30 Gross value 1,250.97 Variable Costs Seed (kg) Maize 25.00 0.330 8.25 Beans 40.00 0.650 26.00 Fertilizer (kg) 370.00 1.000 370.00 Marketing (p/h) 3,401.00 0.025 85.03 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 450.00 Inv. in Irrig. Equip 2,332.00 Total Variable Costs 3,835.83 Gross Margin -2,584.86 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January February March April 151 151 May 151 38 150 339 June 85 150 84 319 July 85 150 84 319 August 298 298 September October November December TOTAL 302 38 170 450 168 298 1 ,426 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 177 Table A6.10 Enterprise Budget for 1 Hectare of Current Non-Fertilized Local Maize/Beans/ Pigeon Peas Quantity Price Value (MK) (MK) Output (kg) Maize 989.00 0.330 326.37 Beans 97.00 0.650 63.05 Pigeon Peas 76.00 0.400 30.40 Gross value 419.82 Variable Costs Seed (kg) Maize 25.00 0.330 8.25 Beans 40.00 0.650 26.00 P/Peas 6.00 0.400 2.40 Marketing (p/h) 1,162.00 0.025 29.05 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 72.25 Gross Margin 347.57 Labor Input (Median) Person-hours Month January February March April May June July August September October November December TOTAL 302 151 151 L/Prep Plant Weed Irrig Fert Harv 85 38 38 19 19 85 38 170 0 0 76 Total 85 38 38 151 151 19 19 85 586 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 178 Table A6.11 Enterprise Budget for 1 hectare of Current Fertilized Local Maize/Beans/Pigeon Peas Quantity Price Value (MK) (MK) Output (k8) Maize 1,459.00 0.330 481.47 Beans 111.00 0.650 72.15 Pigeon Peas 72.00 0.400 28.80 Gross value 582.42 Variable Costs Seed (kg) ‘ Maize 25.00 0.330 8.25 Beans 40.00 0.650 26.00 P/Peas 6.00 0.400 2.40 Fertilizer (kg) 136.00 1.000 136.00 Marketing (p/h) 1,642.00 0.025 41.05 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 220.25 Gross Margin - 362.17 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January 85 3 l 1 16 February 0 March 0 April 68 68 May 68 68 June 0 July 0 August 151 151 September 151 151 October 19 19 November 19 19 December 85 31 116 TOTAL 302 38 170 0 62 136 708 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 179 Table A6.12 Enterprise Budget for l Hectare of Intensive Local Maize/Beans/Pigeon Peas Quantity Price (MK) Output (kg) Maize 2,049.00 0.330 Beans 151.00 0.650 P/Peas 72.00 0.400 Gross value Variable Costs Seed (kg) Maize 25.00 0.330 Beans 40.00 0.650 P/Peas 6.00 0.400 Fertilizer (kg) 160.00 1.000 Chemicals 1.00 13.000 Marketing (p/h) 2,272.00 0.025 Maint. of Farm Equip. 0.33 19.850 Total Variable Costs Gross Margin Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv January 85 34 February March April 94 May 94 June July August 15 1 September 151 October 19 November 19 December 85 34 TOTAL 302 38 170 0 68 188 Total 1 19 151 151 l9 19 119 766 Value (MK) 676.17 98.15 28.80 803.12 8.25 26.00 2.40 160.00 13.00 56.80 6.55 260.00 543.12 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 180 Table A6.13 Enterprise Budget for 1 Hectare of Hybrid Maize/Beans/Pigeon Peas Quantity Price Value (MK) (MK) Output (kg) Maize 2,999.00 0.330 989.67 Beans 402.00 0.650 261.30 P/Peas 72.00 0.400 28.80 Gross value 1,279.77 Variable Costs Seed (kg) Maize 25.00 0.330 8.25 Beans 40.00 0.650 26.00 P/Peas 6.00 0.400 2.40 Fertilizer (kg) 370.00 1.000 370.00 Chemicals 1.00 13.000 13.00 Marketing 3,401 .00 0.025 85 .03 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 498.30 Gross Margin 781.49 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January 85 84 169 February 0 March 0 April 140 140 May 140 140 June 0 July 0 August 151 151 September 151 151 October 19 19 November 19 19 December 85 84 .169 TOTAL 302 38 170 0 168 280 958 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 181 Table A6.14 Enterprise Budget for l Hectare of Current Fertilized Local Maize/Beans/Groundnuts Quantity Price (MK) Output (kg) Maize 1,212.00 0.330 Beans 92.00 0.650 Groundnuts 186.00 1. 120 Gross value Variable Costs Seed Maize 25.00 0.330 Beans 40.00 0.650 Groundnuts 40.00 1. 120 Fertilizer 115.00 1.000 Marketing 1 ,490.00 0.030 Maint. of Farm Equip. 0.33 19.850 Total Variable Costs Gross Margin Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv January 85 29 February March April 59 May 59 June July August 151 September 151 October 19 ‘ November 19 December 85 29 TOTAL 302 38 170 0 58 1 18 Total 114 0 0 59 59 O O 151 151 19 19 114 686 Value (MK) 399.17 59.80 208.32 664.29 8.25 26.00 44.80 115.00 37.25 6.55 237.85 426.44 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 182 Table A6.15 Enterprise Budget for 1 Hectare of Intensive Local Maize/Beans/Groundnuts Quantity Price Value (MK) (MK) Output (kg) Maize 2,049.00 0.330 676.17 Beans 151.00 0.650 98.15 Groundnuts 186.00 1 . 120 208 . 32 Gross value 982.64 Variable Costs Seed (kg) Maize 25.00 0.330 8.25 Beans 40.00 0.650 26.00 Groundnuts 40.00 1 . 120 44.80 Fertilizer (kg) 160.00 1.000 160.00 Marketing (p/h) 2,386.00 0.025 59.65 Maint. of Farm Eqiup. 0.33 19.850 6.55 Total Variable Costs 305.25 Gross Margin 665.46 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January 85 40 125 February 0 March 0 April 95 59 May 95 59 June 0 July 0 August 151 151 September 151 151 October 19 19 November 19 19 December 85 40 125 TOTAL 302 38 170 0 80 190 780 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 183 Table A6.16 Enterprise Budget for 1 Hectare of Rice Irrigated Using Gravity/Furrows Quantity Price Value (MK) (MK) Output (kg) ‘ 3,000.00 0.370 1,110.00 Variable Costs Seed (kg) 75.00 0.500 37.50 Fertilizer (kg) 230.00 1.000 230.00 Chemicals 1.00 12.000 12.00 Marketing (p/h) 3,300.00 0.025 75.00 Maint. of Farm Equip. 0.33 19.850 6.55 Maint. of Irrig. Equip. 50.00 Inv. in Irrig. Equip. 259.00 Total Variable Costs 670.05 Gross Margin 439.95 Labor Input (Median) Person-hours Month L/Prep Plant Weed Inig Fert Harv Total January February March April 151 151 May 151 324 150 625 June 85 150 84 319 July 85 150 84 319 August 298 298 September October November December TOTAL 302 324 170 450 168 298 1,712 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 184 Table A6.17 Enterprise Budget for 1 Hectare of Rice Irrigated Using Pinup/Sprinklers Quantity Price Value (MK) (MK) Output (kg) 3,000.00 0.370 1,110.00 Variable Costs Seed (kg) 75.00 0.500 37.50 Fertilizer (kg) 230.00 1.000 230.00 Chemicals 1.00 12.000 12.00 Marketing (p/h) 3,300.00 0.025 75.00 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip 450.00 Inv. in Irrig. Equip. 2,332.00 Total Variable Costs 3,701.05 Gross Margin -2,591.05 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January February March April 151 151 May 151 324 150 625 June 85 150 319 July 85 150 319 August 2 September October November December £23? 298 TOTAL 302 324 170 450 168 298 1,712 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 185 Table A6.18 Enterprise Budget for 1 Hectare of Wheat Irrigated Using Gravity/Furrows Quantity Price Value (MK) (MK) Output (kg) 3,500.00 0.550 1,925.00 Variable Costs Seed (kg) 100.00 0.550 55.00 Fertilizer (kg) 300.00 1.000 300.00 Marketing (p/h) 3,500.00 0.025 87.50 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 0.00 Maint. of Irrig. Equip. 50.00 Inv. in Irrig. Equip. 259.00 Total Variable Costs 758.05 Gross Margin -l,166.95 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January February March April 151 151 May 151 52 150 353 June 85 150 84 319 July 85 150 84 319 August 347 347 September October November December TOTAL 302 52 170 450 168 347 1,489 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 186 Table A6.19 Enterprise Budget for l Hectare of Wheat Irrigated Using Pinup/Sprinklers Quantity Price Value Output (kg) 3,500.00 0.550 1,925.00 Variable Costs Seed (kg) 100.00 0.550 55.00 Fertilizer (kg) 300.00 1.000 300.00 Marketing (p/h) 3,500.00 0.025 87 .50 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 450.00 Inv. in Irrig. Equip. 2,332.00 Total Variable Costs 3,789.05 Gross Margin -1,864.05 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January February March April 151 151 May 151 52 150 353 June 85 150 84 292 July 85 150 84 292 August 347 347 September October November December TOTAL 302 52 170 450 168 347 1,489 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 187 Table A6.20 Enterprise Budget for l Hectare of Current Relay Rainfed Field Peas Quantity Price Value Output (kg) 195.00 1.000 195.00 Variable Costs Seed (kg) 75.00 0.400 30.00 Fertilizer (kg) 0.00 0.00 0.00 Marketing 195.00 0.025 4.88 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 41.43 Gross Margin 153.57 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January 0 February 0 March 58 19 77 April 58 19 48 125 May 48 48 June 0 July 28 28 August 28 28 September 0 October 0 November 0 December 0 TOTAL 116 38 96 0 0 56 306 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 188 Table A6.21 Enterprise Budget for l Hectare of Current Dimba Field Peas Quantity Price (MK) Output (kg) 670.00 1.000 Variable Costs Seed (kg) 75.00 0.400 Fertilizer (kg) 0.00 0.000 Marketing 670.00 0.025 Maint. of Farm Equip. 0.33 19.850 Total Variable Costs Gross Margin Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv January February March 5 15 April 515 38 292 May 292 June 292 120 July 120 August September October November December 8% TOTAL 1 ,018 38 128 876 0 240 Total 515 845 356 476 120 OOOOO 2,312 Value (MK) 670.00 30.00 0.00 16.75 6.55 53.30 616.70 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 189 Table A6.22 Enterprise Budget for l Hectare of Sugarcane Quantity Price Value (MK) (MK) Value of Output 8,546.00 0.500 4,173.00 Variable Costs* Marketing (p/h) 8,546.00 0.025 213.65 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 220.20 Gross Margin 4,052.80 Labor Input (Median) Person-hours Month January February March April May June July August September October November December TOTAL LIPrep Plant Weed Irrig Fert Harv Total 274 274 57 57 154 548 114 154 0 OOOOOOO 274 120 394 120 177 57 154 240 1,051 * Cuttings are used for propagation and the cost is assumed to be zero. Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 190 Table A6.23 Enterprise Budget for l Hectare of Current N on-Fertilized Cabbage Quantity Price Value (MK) (MK) Output (kg) 5,650.00 0.500 2,825 Variable Costs Seed (tin) 1.00 20.000 20.00 Fertilizer (kg) 0.00 0.000 0.00 Marketing (p/h) 5,650.00 0.025 141.25 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 167.80 Gross Margin 2,657.20 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 515 515 May 515 124 705 1 ,344 June 124 64 705 893 July 64 705 769 August 705 705 September 240 240 October 0 November 57 December 0 TOTAL 1 ,018 248 128 2,820 0 240 4,466 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 191 Table A6.24 Enterprise Budget for l Hectare of Intensive Cabbage Quantity Output 22,000.00 Variable Costs Seed (tin) 1.00 Fertilizer (kg) 80.00 Chemicals (pkt) 1.00 Marketing (p/h) 22,000.00 Maint. of Farm Equip. 0.33 Total Variable Costs Gross Margin Labor Input (Median) Person-hours Price Value (MK) (MK) 0.500 2,825 20.000 20.00 0.000 80.00 13.000 13.00 0.025 550.00 19.850 6.55 669.55 2,155.45 Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 515 515 May 515 124 705 25 1,369 June 124 64 705 25 918 July 64 705 25 799 August 705 25 730 September 240 240 October 0 November 0 December 0 TOTAL 1,018 148 128 2,820 100 240 4,566 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 192 Table A6.25 Enterprise Budget for 1 Hectare of Cabbage Irrigated Using Purnp/Sprinklers-Seasons 2 Quantity Price Value Output (kg) 33,481.00 0.500 16,740.50 Variable Costs Seed (tin) 1.00 20.000 20.00 Fertilizer (kg) 80.00 1.000 80.00 Chemicals (pkt) 1.00 13.000 13.00 Marketing (p/h) 33,841.00 0.025 846.03 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 300.00 Inv. in Irrig. Equip. 1,555.00 Total Variable Costs 3,378.55 Gross Margin 13,361.45 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January February March April May 302 248 150 25 725 June 150 25 239 July 150 25 239 August 150 120 270 September October November December ii TOTAL 302 248 128 600 75 120 1,473 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 193 Table A6.26 Enterprise Budget for l Hectare of Cabbage Irrigated Using Pump/Sprinklers- Seasons land3 Quantity Price Value Output (kg) 5,069.00 0.500 2,534.50 Variable Costs Seed (tin) 1.00 20.000 20.00 Fertilizer (kg) 80.00 1.000 80.00 Chemicals (pkt) 1.00 13.000 13.00 Marketing (p/h) 5,069.00 0.025 126.73 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 300.00 Inv. in Irrig. Equip. 1,555.00 Total Variable Costs 2,659.28 Gross Margin -124.78 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January February March April May 302 248 150 25 725 June 150 25 239 July 150 25 239 August 150 25 329 504 September October November December 3% TOTAL 302 248 128 600 100 329 1,707 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 194 Table A6.27 Enterprise Budget for l Hectare of Current Non-Fertilized Tomato Quantity Price Value (MK) (MK) Output 6,240.00 1.000 6,240.00 Variable Costs Seed (tin) 1.00 20.000 20.00 Chemicals (pkt) 1.00 13.000 13.00 Marketing (p/h) 6,240.00 0.025 156.00 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 182.55 Gross Margin 6,057.45 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 5 15 5 15 May 5 15 658 25 1 ,490 June 64 658 25 747 July 292 64 658 25 722 August 120 120 September 120 120 October 0 November 0 December 0 TOTAL 1 ,030 292 128 l ,974 75 120 3 ,714 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 195 Table A6.28 Enterprise Budget for l Hectare of Intensive Tomato Quantity Price Value (MK) (MK) Output (kg) 11,083.00 1.000 11,083.00 Variable Costs Seed (tin) 1.00 20.000 20.00 Fertilizer (kg) 15.00 0.000 15.00 Chemicals (pkt) 1.00 12.800 12.80 Marketing (p/h) 11,803.00 0.025 295.08 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 348.63 Gross Margin 10,734.37 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 515 515 May 515 658 25 1,490 June 64 658 25 747 July 292 64 658 25 722 August 120 120 September 0 October 0 November 0 December 0 TOTAL 1 ,030 292 128 1,974 75 120 3 ,714 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 196 Table A6.29 Enterprise Budget for l Hectare of Irrigated Tomato Using PrunplSprinklers-Season 2 Outpuflkg) Costs Seed (tin) Fertilizer (kg) Chemicals (pkt) Marketing (p/h) Maint. of Farm Equip. Fuel and Oil Maint. of Irrig. Equip. Inv. in Irrig. Equip. Total Costs Gross Margin Labor Input (Median) Person-hours Month January February March April May June July August September October November December 302 TOTAL 302 292 292 Quantity 10,402.00 1.00 15.00 1.00 10,402.00 0.33 150 64 150 64 150 128 450 25 25 50 Price (MK) 1.000 20.000 0.000 12.800 0.025 19.850 120 Value (MK) 10,402.00 20.00 15.00 12.80 260.05 6.55 558.00 300.00 1,555.00 2,727.40 7,674.60 LIPrep Hant Weed Irrig Fert Harv Total COCO 239 239 120 OCCO 120 1,367 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 197 Table A6.30 Enterprise Budget for l Hectare of Irrigated Tomato Using Pump/Sprinklers- Seasons 1 and 3 Quantity Price Value (MK) (MK) Output (kg) 2,471.00 1.000 2,471.00 Costs Seed (tin) 1.00 20.000 20.00 Fertilizer (kg) 15.00 0.000 15.00 Chemicals (pkt) 1.00 12.800 12.80 Marketing (p/h) 2,471.00 0.025 61.78 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 300.00 Inv. in Irrig. Equip. 1,555.00 Total Costs 2,529.13 Gross Margin -58.13 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 0 May 302 292 150 769 June 64 150 25 239 July 64 150 25 239 August 120 120 September 0 October 0 November 0 December 0 TOTAL 302 292 128 450 50 120 1 ,367 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 198 Table A6.31 Enterprise Budget for l Hectare of Current Chinese Cabbage Quantity Price Value (MK) (MK) Output (kg) 2,004.00 0.500 1,002.00 Variable Costs Seed (tin) 1.00 20.00 20.00 Marketing (p/h) 2,004.00 0.025 50.10 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 76.65 Gross Margin 925.35 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 515 515 May 515 292 489 1 .296 June 64 489 553 July 64 489 120 673 August 0 September 0 October 0 November 0 December 0 TOTAL 1 ,030 292 128 1 ,467 50 120 120 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 199 Table A6.32 Enterprise Budget for 1 Hectare of Intensive Chinese Cabbage Quantity Output (kg) 23,812.00 Variable Costs Seed (tin) 1.00 Fertilizer (kg) 80.00 Chemicals (pkt) 1.00 Marketing (p/h) 23,812.00 Maint. of Farm Equip. 0.33 Total Variable Costs Gross Margin Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig F ert January February March April May June July August September October November December 515 515 489 489 489 25 25 292 3% TOTAL 1,030 292 128 1,467 50 Price Value 0.500 11,906.00 20.00 20.00 1.000 80.00 13.000 13.00 0.025 595.30 19.850 6.55 714.85 11,191.15 Harv Total 0 0 0 515 1,321 120 578 120 673 0 0 0 0 0 120 3,087 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 200 Table A6.33 Enterprise Budget for l Hectare of Irrigated Chinese Cabbage Using Pump/Sprinklers- Season 2 Quantity Price Value (MK) (MK) Out!!!It (kg) 23,812.00 0.500 11,906.00 Costs Seed (tin) 1.00 20.000 20.00 Fertilizer (kg) 80.00 0.000 80.00 Chemicals (pkt) 1.00 13.000 13.00 Marketing (p/h) 23,812.00 0.025 595.30 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 300.00 Inv. in Irrig. Equip. 1,555.00 Total Costs 3,127.13 Gross Margin 8,778.15 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 0 May 302 324 150 801 June 64 150 25 239 July 64 150 25 120 359 August 120 120 September October 0 November 0 December 0 TOTAL 302 324 128 450 50 240 1 ,494 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 201 Table A6.34 Enterprise Budget for 1 Hectare of Irrigated Chinese Cabbage Using Pump/Sprinklers- Seasons 1 and 3 Quantity Price Value (MK) (MK) Output (kg) 65199.00 0.500 3,399.00 Costs Seed (tin) 1.00 20.000 20.00 Fertilizer (kg) 80.00 0.000 80.00 Chemicals 1.00 13.000 13.00 Marketing (p/h) 6,799.00 0.025 170.00 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 300.00 Inv. in Irrig. Equip. 1,555.00 Total Costs 2,702.53 Gross Margin 696.97 Labor Input (Median) Person-hours Month L/Prep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 0 May 302 324 150 801 June 64 150 25 239 July 64 150 25 120 334 August 120 120 September 0 October 0 November 0 December 0 TOTAL 302 324 128 450 50 240 1 ,494 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 202 Table A6.35 Enterprise Budget for 1 Hectare of N on-fertilized Dimba Maize Quantity Price Value (MK) (MK) Output (kg) 2,614.00 0.500 2,614.00 Variable Costs Seed (kg) 25.00 0.330 8.25 Marketing 2,614.00 0.025 65.35 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 80.15 Gross Margin 2,533.85 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 0 May 0 June 0 July 515 515 August 515 38 85 608 1,246 September 85 608 693 October 0 November 120 120 December 0 TOTAL 1,030 38 128 1,218 50 120 2,474 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 203 Table A6.36 Enterprise Budget for 1 Hectare of Current Non-fertilized Dimba Maize/Pumpkin Leaves Quantity Price Value (MK) (MK) Output (kg) Maize 1,961.00 1.000 1,961.00 Pumpkin Leaves 486.00 0.500 243.00 Gross value 2,204.00 Variable Costs Seed (kg) Maize (kg) 25.00 0.330 8.25 P/Lvs (cup) 1.00 1.000 1.00 Marketing 2,447.00 0.025 61.18 Maint. of Farm Equip. 0.33 19.850 6.55 Total Variable Costs 76.98 Gross Margin 2,127.02 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 5 May 5 June 5 July 515 515 August 515 38 85 608 1 ,246 September 85 608 693 October 0 November 120 120 December 0 TOTAL 1,030 38 128 1,216 50 240 2,574 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 204 Labor Input (Median) Person-hours Month LIPrep Plant Wwd Irrig Fert Harv Total January 0 February 0 March 0 April 0 May 302 38 150 25 441 June 49 150 25 237 July 49 150 160 378 August 160 160 September 0 October 0 November 0 December 0 TOTAL 302 38 128 450 50 320 1 , 198 Table A6.37 Enterprise Budget for 1 Hectare of Irrigated Green Beans Using Pump/Sprinklers- Season 2 Quantity Price Value Output 4,716.00 1.000 4,716.00 Variable Costs Seed (kg) 40.00 1.000 40.00 Fertilizer (kg) 200.00 1.000 200.00 Chemicals 1.00 13.000 13.00 Marketing 4,716.00 0.025 117.90 Maint. of farm lmpl. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 300.00 Inv. in Irrig Equip. 1,555.00 Total Costs 2,790.45 Gross Margin 1,925.55 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 205 Table A6.38 Enterprise Budget for l Hectare of Irrigated Green Beans Using Pump/Sprinklers- Seasons 1 and 3 Quantity Price Value (MK) (MK) Output (kg) 3,014.00 1.000 3,014.00 Variable Costs Seed (kg) 40.00 1.000 40.00 Fertilizer (kg) 200.00 1.000 200.00 Chemicals 1.00 13.000 13.00 Marketing (p/h) 3,014.00 0.025 90.42 Maint. of Farm Equip. 0.33 19.850 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 300.00 Inv. in Irrig. Equip. 1,555.00 Total Costs 2,747.90 Gross Margin 266.10 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 0 May 302 38 150 25 490 June 64 150 25 239 July 64 150 120 359 August 120 120 September 0 October 0 November 0 December 0 TOTAL 302 38 128 450 50 240 1 ,208 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 206 Table A6.39 Enterprise Budget for l Hectare of Irrigated Onions Using Pump/Sprinklers-Season 2 Quantity Price Value (MK) (MK) Output (kg) 15,888.00 1.00 15,888.00 Variable Costs Seed (tin) 1.00 20.00 20.00 Fertilizer (kg) 79.00 1.00 79.00 Chemicals 1.00 13.00 13.00 Marketing (p/h) 15,888.00 0.03 397.20 Maint. of Farm Equip. 0.33 19.85 6.55 Fuel and Oil 558.00 Maint. of Irrig. Equip. 300.00 Inv. in Irrig. Equip. 1,555.00 Total Costs 2,928.75 Gross Margin 12,959.25 Labor Input (Median) Person-hours Month LIPrep Plant Weed Irrig Fert Harv Total January 0 February 0 March 0 April 151 151 May 151 324 150 25 625 June 64 150 25 239 July 64 150 239 August 240 240 September 0 October 0 November 0 December 0 TOTAL 1,030 38 128 50 240 1,494 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 207 Table A6.40 Enterprise Budget for l Hectare of Prunpkin Leaves Irrigated Using Prunp/Sprinklers-All Seasons Outputfligl Variable Costs Seed (cup) Fertilizer (kg) Marketing (p/h) Maint. of Farm Equip. Fuel and Oil Maint. of Irrig. Equip. Inv. in Irrig. Equip. Total Costs Gross Margin Labor Input (Median) Person-hours Month January February March April May June July August September October November December 302 19 TOTAL 1 ,030 19 3% 128 Quantity 6,626.00 1.00 79.00 6,626.00 0.33 LIPrep Plant Weed Irrig 150 150 150 450 Fert 25 25 50 Price Value (MK) (MK) 0.500 3,313.00 20.000 20.00 1.000 79.00 0.025 165.65 19.850 6.55 558.00 300.00 1,555.00 2,684.20 628.80 Harv Total 0 0 O O 585 239 120 334 120 120 0 0 0 0 240 1,278 Source: Survey Data 1993/Guide to Agricultural Production in Malawi 1992 APPENDIX B 208 THE ROLE OF DIMBA LAND AND SMALL SCALE IRRIGATION IN IMPROVING HOUSEHOLD FOOD SECURITY IN SOUTHERN MALAWI Farmer Survey Name of Enumerator Date of Interview I. Identification Household Code Section Code EPA Code District Code Name of Respondent 209 Name of Enumerator Name of Respondent Date of Interview 11. Labor Availability Ql. How many people are in this household? Q2. Which of these members are available to work on your parcels of land during the year? (Ask for days in a week, hours in a day.) Person name Sex Age Relation to Head September HID DIW October HID DIW November HID DIW December HID DIW January HID ll DIW February HID DIW March HID DIW April HID M DIW May HID DIW June HID ll W ll :l I ours per a y - 1 ea 1) = Days per wee Male = 1 0—10 = 1 Head = 0 Female = 2 >10-55 = 2 Wife = 1 >55 = 3 Relative/child = 2 Other = 3 210 III. Soda-Economic Characteristics of Household Heads Q3. Marital Status i I = Married 3 = Divorced ' 2 = Widowed 4 = Separated 5 = Single Q4 Household Type I = male head 2= female head Q5. Occupation of Head 1 I = Farming 2 = Employment outside agriculture 1 3 = Agriculture laborer 3 4 = Own business 5 = Unemployed 6 = Other I ' Q6. Education of Head 1 = No Schooling 2 = Sth-III 3 = Std. IV—VII 4 = Higher 5 = Unknown IV. Patterns of Land Use (Put number In code box) Q8(a). Are any of these dimba gardens? i (Put number in code box. N0 = 0.) Q8(b). Are any of them potentially irrigable? (i.e. within 200 meters of a reliable water source. N0 = 0.) Q9. How did you acquire the dimba land? I = Inherited from parents 2 = Given by chief 3 = Bought it @rice ) Q10. What type of land is it? (Enumerator to verify.) I = Close to water source, high water table, well drained 2 = Close to water source, low water table, dries out in dry season 3 = Swampy, poor drainage 4 = Other Q11(a). Does it flood during the rain season? Yes = I N0 = 2 Q11(b). Is it waterlogged between April and June? Yes = I N0 = 2 211 MAP (Draw a map indicating the position of the parcels in relation to household, and for each parcel of land get details as indicated below to help you fill out tables A, B & C.) flamed; EcheJ—Z Land type Acres Land Type Acres Crop Mixture Crop Mixture (Description of planting) (Description of planting) No. of Parcel sheets to complete__ N o. of Parcel sheets to complete Eur—“fl Ear—091.1 Land type Acres Land Type Acres Crop Mixture Crop Mixture (Description of planting) (Description of planting) No. of Parcel sheets to complete No. of Parcel sheets to complete 212 Q12(a). Labor Use (1991/1992) Parcel No. Type ofLand Enterprise Input/Activity Family Labor Acres for Enterprise Crop Mixture Hired Labor Months Land Prep days h/d Pric Peop Planting days h/d Peop Weeding days h/d Pric Peop Fertilizer days h/d Peop Irrigation days h/d Peop Harvest days h/d Peop Other days h/d Pric 213 Q12(b). Input Use (1991/1992) Parcel No. Acres for Enterprise only Type of Land Crop Mixture Enterprise Months m \ Price/Unit Q12(c). Harvest and Sales Parcel No. Acres for Enterprise only Type of Land Crop Mixture Enterprise Months r___¥fi._.A . _,.__ . 77-. fi. . V- v_ _‘... Crop—Com; Year Total T“ ‘75“1‘ ‘ m-L______ —— 7 Unit Quantity Unit Quantity Price/Unit l l l l ! l 1 4 1992 1991 1990 1989 1992 ~ 1991 1990 1989 214 r__ v i ,7 ._ i "in L, ,7 ,_ 7 f Q13. What are the major constraint to producing more of dimba crops? I I = Water shortage (because the dimba garden normally dries out fast, not I due to drought) ) l 2 = Lack of fertilizer l J 3 = Inadequate/unreliable rainfall l 4 = Pests and predators 5 = Other (specify) ’ Q14. What are the major obstacles to producing more of rainfed crops? 2 == Lack of fertilizer 3 = Inadequate/unreliable rainfall 4= Pests and predators 5 = Other (specify) ,_.—_.—_.. — ._ _. __ .______. V. Non-Farm Income Generating Activities 5 P I Q15 What agricultural activity did you engage in between April and September? I I = Cultivate a second crap on rainfed land 2 = Cultivate dimba land 3 = Other (specify) Q.16 Are there some months in the calendar year when you do little or no agricultural activities? N/A = 999 (Put in code box; otherwise tick months) |Jan|FeblMarlAprlMaleunlJul|AuglSeplOct|N0v|Dec| _—.:——’_—.;_-~.___. _. —....__l Q17(a). Do you use the time to do some income generating activities? N/A (no flee months) = 999 N0 = 0 Farm IGAS = 1 Other (specify) = 215 Name of Enumerator Name of Respondent Date of Interview 17(b). What is the income per week/month from this activity? MA = 999 Record figure per month (Convert per day/week to per month) . What are the prerequisites to engage in the activity? N/A = 999 (Open ended) If it is a trade list training or apprenticeship required or amount of investment/type of equipment required. ; Q17(d). How many days a month do you engage in the activity? (Put No. of Days) N/A = 999 216 VI. Willingness to Use and Invest in Irrigation j Q18(b). Suppose you were to invest in irrigation technology of ' cost for a quarter of an acre (both capital and interest) and a repayment period of two years. Your installments would be MK200 every three months. Would you be willing to make the investment? What if your net income from using the one quarter of an acre were: MK200.00. Would you be willing to make the investment? MK500.00? Q18(c). If ’no’, why? (Open ended) 217 Q19. If you invest in irrigation which crops would you want to grow on your dimba? When and why? (Give names of two most important crops.) ' Season 1. October — March 1 Crop (mixture) I Why ll Season 2. April - June Crop (mixture) Why Season 3. July - September I Crop (mixture) ‘ Why |__, __ Codes for wh Water will be available For food For cash Suitable for soils Other (specify) mature—1 II II II II II 218 Q20. [If yes to Q8(b)] If you invested in irrigation what crops would you like to grow on this piece of land that can be irrigated? (Note that the land can then be cropped from April to September.) I Season]. OctOber- March I I Crop (mixture) Why I I I I Season 2. April - June I . ‘ I Crop (mixture) I I Why Crop (mixture) I Why ’ I I I I I I Season 3. July - September I I I Q21(a). Is your dimba parcel of land contiguous with other farmers’ dimba gardens? 1 = yes 2 = No Q21(b). Would you be willing to participate in a communal irrigation project? I = Yes 2 = No Q21(c) Do you foresee any problems in setting up and organizing communal irrigation projects? (Open ended) ‘ 219 VII. Use of Extension and Credit Services Q22(a). In the last 3 years have you received credit from any source? (If no crdt ten 999 all through) _ Condition Interest 1991/92 . 1989/90 Q23(a). In the past 3 years have you been in contact with any agriculture/irrigation extension agent? frequnet 1991/92 1990/91 1989/90 Q23(b). If no, why not? (Open ended) 220 VIII. Food Production Strategies and Security 0 = Produce some food/grow cash crops 1 = Produce all food requirements 2 = Do ganyu labor (where 3 = Member(s) of family permanently employed 4 = IGAs or business (specify 5 = Other (specify) Q24(b). If you rely on agricultural production (codes 0 and 1), what do you do when rain fails to come in good time/amounts? N IA = 999, i.e. does not rely on agricultural production 1 = Rely on dimba productions 2 = Trading in an agricultural commodity 3 = Practicing a trade (specify) 4 = Other (specify) 5 = Selling labor (specify) . How many months did your food production last in the past three years? (Put the no. of months in the code boxes.) M_Ot1_tlls_las_t¢.cl 221 GARDEN MEASUREMENT Name of Enumerator ................ Date ................ Name of Assistant ................. 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