fie. :8."an . . 1,? . Azqnflfiu“ a. . u '9'! 1.:‘1-3 2 3!. 3.1....vv’i, $5.1??? . ‘13:... x . . ~I2.| I“ I "n .. 1313.: id .2 if... 5:: .. 1 1’6}. .5“. Ink-Lb“ . , .is.:.!:,.1 igli- ,. r. . .tfiflgg ‘ .. .5}... its. :12. . h "mm! flaflioubuu‘Js; . . . 23.93.1113] V. IOII‘LIQV- 1“ 3‘). .1. (3|?! i [\w E;- 1. 3...]..17 J V. t 9.9 hr...- tliliil In ‘x‘!. 0‘13... (#1.; liHhrrl!” HR». . I .3 ‘leif (1.! x .41 . 1 06V LIBRARY Michigan State University This is to certify that the thesis entitled FACTORS AFFECTING THE USE OF FERTILIZER BY SMALL- AND MEDIUM-SIZED FARMING HOUSEHOLDS IN ZAMBIA; 1997 TO 2000 presented by Eric Teague Knepper has been accepted towards fulfillment of the requirements for M.S. Agricultural Economics (<:;:;;Zv—— (f—. a Major p ofessor degree in Date 6. a..[L/7c~t:% 200 1 0-7639 MS U is an Affirmative Action/Equal Opportunity Institution PLACE IN RETURN BOX to remove this checkout from your record. TO AVOID FINES return on or before date due. MAY BE RECALLED with earlier due date if requested. DATE DUE DATE DUE DATE DUE 6/01 c:/CIRC/DateDue.p65-p.15 FACTORS AFFECTING THE USE OF FERTILIZER BY SMALL- AND MEDIUM-SIZED FARMING HOUSEHOLDS IN ZAMBIA, 1997 TO 2000 By Eric Teague Knepper A THESIS Submitted to Michigan State University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Agriculture and Natural Resources 2002 ABSTRACT FACTORS AFFECTING THE USE OF FERTILIZER BY SMALL- AND MEDIUM-SIZED FARMING HOUSEHOLDS IN ZAMBIA, 1997 TO 2000 By Eric Teague Knepper Agriculture represents the main form of income for many families in rural Zambia and increasing incomes of the majority of the population is a crucial goal. The use of fertilizer is seen as an important way to improve agricultural output and productivity, and therefore incomes of rural households. Identifying characteristics of households that currently use fertilizer may lead to a better understanding of the constraints and opportunities to increasing fertilizer use. This paper uses three, nation-wide surveys to identify the factors that affect a household’s use of fertilizer. The factors analyzed include market-characteristics, household-level characteristics, and geographical-level characteristics. The paper also analyzes factors that affect the total quantity of fertilizer a household uses. The factors found to significantly increase a household’s likelihood of using fertilizer include total cropped area, ownership of farming assets, and proximity to a fertilizer depot. However, the most influential factors identified were transportation assets and level of district transportation infrastructure. These findings imply a straightforward policy response for government: improvements in transportation infrastructure may be among the most effective methods of increasing levels of fertilizer use and by extension the incomes of rural farming households. Copyright by ERIC TEAGUE KNEPPER 2002 TABLE OF CONTENTS LIST OF TABLES ............................................................................................................. vi LIST OF FIGURES ......................................................................................................... viii CHAPTER 1 INTRODUCTION .............................................................................................................. 1 CHAPTER 2 LITERATURE REVIEW ................................................................................................... 6 Defining use of technology ..................................................................................... 6 Variables influencing fertilizer use ......................................................................... 7 Estimator models used .......................................................................................... 13 CHAPTER 3 DATA AND MODEL USED ........................................................................................... 15 Data utilized for the current study ........................................................................ 15 Models utilized for the current study .................................................................... 17 CHAPTER 4 METHOD AND MODEL SPECIFICATION .................................................................. 20 Operational variables ............................................................................................ 21 Model specifications ............................................................................................. 29 CHAPTER 5 ANALYSIS AND USE OF FERTILIZER BY HOUSEHOLD AND GEOGRAPHICAL CHARACTERISTICS ...................................................................................................... 32 Application rate of fertilizer .................................................................................. 32 Household characteristics ..................................................................................... 34 Physical and geographical characteristics ............................................................. 39 Cropping patterns .................................................................................................. 45 CHAPTER 6 ECONOMECTIC ANALYSIS OF FERTILIZER USE ON MAIZE IN ZAMBIA ........ 50 Review of models employed ................................................................................. 55 Analysis of household-level variables .................................................................. 56 Analysis of physical and geographical-level variables ......................................... 58 Putting it all together: an analysis of fertilizer use by hypothetical households... 68 iv CHAPTER 7 FERTILIZER MARKETS, USE, AND PRICES IN ZAMBIA ....................................... 72 Brief description of the marketing system in Zambia ........................................... 72 Purchases of fertilizer ........................................................................................... 73 Fertilizer prices in Zambia .................................................................................... 77 Econometric analysis of fertilizer use on maize incorporating market prices ...... 84 CHAPTER 8 ECONOMETRIC ANALYSIS OF THE QUANTITY OF FERTILIZER USED ........... 88 Model used ............................................................................................................ 88 Analysis of results ................................................................................................. 89 CHAPTER 9 CONCLUSIONS AND IMPLICATIONS ........................................................................ 93 Main findings ........................................................................................................ 93 Profitability of fertilizer use on maize .................................................................. 95 Implications for policy .......................................................................................... 96 APPENDIX QUESTIONS ASKED ON THE PHS SURVEYS ........................................................... 98 REFERENCES ............................................................................................................... 100 LIST OF TABLES Table 1: Number of households surveyed with and without weighting ........................... 17 Table 2: Fertilizer use matrix ............................................................................................ 21 Table 3: Selected characteristics of Zambian provinces ................................................... 28 Table 4: Definition of variables and models ..................................................................... 31 Table 5: Fertilizer use matrix: household use of basal and top dressing fertilizer ........... 32 Table 6: Quantity and intensity of fertilizer applied to crops ........................................... 33 Table 7: Characteristics of households that grow crops ................................................... 35 Table 8: Household characteristics by use of fertilizer ..................................................... 37 Table 9: Household characteristics by gender of head of household ................................ 39 Table 10: Population by geographical characteristics (% of all households) ................... 40 Table 11: Fertilizer use by province ................................................................................. 41 Table 12: Fertilizer use by ecological zone ...................................................................... 41 Table 13: Fertilizer use by fertilizer depot in district ....................................................... 42 Table 14: Fertilizer use by well-connected districts ......................................................... 42 Table 15: Fertilizer use by fertilizer depots and well-connected districts, by provinces.. 44 Table 16: Household planting patterns and total area cropped by crop groups ................ 45 Table 17: Household use of fertilizer by crop groups ....................................................... 47 Table 18: Total area planted to crop groups by ecological zone ...................................... 48 Table 19: Maize yield with and without use of fertilizer .................................................. 49 Table 20: Fertilizer use matrix, households growing maize ............................................. 51 Table 21: Original and restricted sample sizes ................................................................. 51 Table 22: Correlations between the variables, 1997/98 .................................................... 52 Table 23: Correlations between the variables, 1998/99 .................................................... 53 vi Table 24: Table 25: Table 26: Table 27: Table 28: Table 29: Table 30: Table 31: Table 32: Table 33: Table 34: Table 35: Table 36: Table 37: Table 38: Table 39: Table 40: Correlations between the variables, 1999/2000 ................................................ 54 Results of probit Model 1 ................................................................................. 62 Results of probit Model 2 ................................................................................. 63 Marginal impacts of district-level dummy variables, Model 2 ......................... 64 Results of probit Model 3 and probit Model 4 ................................................. 66 Marginal impacts of district-level dummy variables, Model 4 (all 3 years) 67 Hypothetical household use of fertilizer: analysis of model 1, 1999/2000 ...... 71 Total basal and top dressing fertilizer use ........................................................ 74 Cash and credit purchases of fertilizer by province (% of total kg) ................. 74 Cash and credit purchases of fertilizer by district (% of total kg) .................... 75 Cash and credit purchases of fertilizer by top five districts (% of total kg) ..... 77 Cash prices for basal and top dressing fertilizer (ZK/kg) ................................. 78 Percentiles of cash price paid for basal and top dressing fertilizer (ZK/kg) 79 Adjusted R—squared of Model 5 and Model 6 .................................................. 79 Results of probit Model 7 ................................................................................. 87 Results of OLS Model 8 ................................................................................... 91 Results of OLS Model 9 ................................................................................... 92 vii LIST OF FIGURES Figure l: Provinces of Zambia .......................................................................................... 24 Figure 2: Ecological zones of Zambia by district ............................................................. 26 Figure 3: Districts with at least one fertilizer depot .......................................................... 27 Figure 4: Districts considered well- connected ................................................................. 27 Figure 5: Histogram of price of basal fertilizer with range of market price estimates, 1997/1998 ................................................................................................................. 81 Figure 6: Histogram of price of top dressing fertilizer with range of market price estimates, 1997/1998 ................................................................................................. 81 Figure 7: Histogram of price of basal fertilizer with range of market price estimates, 1998/1999 ................................................................................................................. 82 Figure 8: Histogram of price of top dressing fertilizer with range of market price estimates, 1998/1999 ................................................................................................. 82 Figure 9: Histogram of price of basal fertilizer with range of market price estimates, 1999/2000 ................................................................................................................. 83 Figure 10: Histogram of price of top dressing fertilizer with range of market price estimates, 1999/2000 ................................................................................................. 83 viii CHAPTER 1 INTRODUCTION In Zambia, increasing incomes of the majority of the population is a crucial goal because approximately 86 percent of the population lives on less than $1 per day purchasing power parity (Pletcher 2000). Until other options arise, agriculture represents the main form of income for many families in rural Zambia. For these farming households, the use of inorganic fertilizer is seen as one important way to potentially improve productivity and increase agricultural output, and therefore bring substantial improvements to their incomes, lives, and well-being (Feder et a1. 1985). Some social scientists go so far as to insist that economic development in less developed countries will not occur unless preceded by the adoption of new technologies such as fertilizer and hybrid seed varieties (Nkonya et a1. 1997). Use of fertilizer can improve the nutrient balance of soils, which may lead to increases in crop yields. Higher rates of fertilizer use may be of significant importance in Sub-Saharan Africa because some authors and researchers suggest soil nutrient depletion in Africa is occurring at an alarming rate and represents the primary cause of declining per capita food production in this region (Sanchez et a1. 1997). Other authors’ views are less pessimistic and recommend that better interpretation of current research is warranted because of the limitations of that research (Scoones and Toulmin 1999). Whether or not the nutrient balance in Sub-Saharan Africa is declining or not, the region has the lowest mineral fertilizer consumption compared to the world average and other regional averages (Greenland and Nabhan 2001). Few small-holder households use fertilizer in Zambia and the reasons for this infrequent use are not clearly understood. Responding to this situation, current and historical government policies have been designed to increase the use of fertilizer by expanding the distribution of fertilizer and providing it at below market costs (Pletcher 2000). These policies, no matter how well intentioned, may not necessarily enhance national welfare. Research conducted by the Food Security Research Project in Zambia suggests that, while fertilizer use can be quite profitable under the proper conditions, promoting its use throughout the country may be difficult and counter-productive because it may not be profitable to use at market prices, given prevailing seed types, management practices, market infrastructure, and output price distributions. Continuing fertilizer use where it is unprofitable will negatively affect national income and welfare by misallocating resources (FSRP 2001). Additionally, because of low loan recovery rates, the government loses millions of dollars each year in distributing fertilizer to farmers. Many policy makers contend that current input market liberalization in Zambia is to blame for low levels of fertilizer use. On one side, there is a widespread perception that market liberalization has been a failure because the private sector has been unable or unwilling to service rural farmers in remote areas of the country. On the other side, there is a perception that government continues to directly or indirectly participate in input markets and therefore affects private traders’ behavior in unintended ways. As a result of these conflicting views, fertilizer-marketing policy is at a crossroads. Some donors and policy makers favor the return to direct state involvement in distribution of fertilizer to small farmers. Others want the country to adhere to a more market-oriented approach to input and credit disbursement (Pletcher 2000). A better understanding of households’ decision to use, or not use, fertilizer could help inform policy decision-making at this crossroads. Studies of fertilizer adoption and use have been performed for decades. However, few studies have utilized large, nationwide datasets; most analyze small, geographically homogenous samples. This data limitation prevents analysis of the decision to adopt and use a technology such as fertilizer across multiple ecological regions or across an entire nation. In contrast, three annual, nation-wide surveys of Zambian households provide the basis for the research conducted in this thesis. The current study utilizes household and geographic characteristics across a wide range of ecological zones, similarly to Kaliba et a1. 2000, to analyze household use of fertilizer. Few previous analyses look at the decision to use a new technology over multiple years of data. Consequently, the results obtained in most studies stand in isolation and cannot be shown to be consistent and robust over time. By utilizing three years of community-level, panel survey data, this paper also overcomes this drawback. Unfortunately, since the same households were not interviewed each of the three years, the data is not household-level panel data. However, the data is panel data at the village level because households were chosen from the same Standard Enumeration Areas for each of the three survey periods. It is hoped that this quality of the data provides insights not available in other studies. This thesis will address the following areas of research. First, it will determine how household characteristics affect the use of fertilizer by small- and medium-sized farming households in Zambia. These include the gender of household head, number of family members, ownership of productive assets, and area cropped. Second, this paper will determine how the physical location and geographic characteristics of a household affect its use of fertilizer. Levels of rainfall and other natural phenomenon will affect a household’s use of fertilizer. Other geographical factors such as proximity to fertilizer distribution centers and the level of infrastructure influence a household’s ability to purchase and transport fertilizer and therefore its use of fertilizer. Thirdly, this paper will econometrically test how these household and geographic characteristics interact, and evaluate which of these factors has the most significant impact on the decision to use fertilizer among households in Zambia. The most significant factors to household use of fertilizer are hypothesized to be total cropped area and access to fertilizer distribution centers. A fourth analysis utilizes an additional econometric test to explore the factors that influence the quantity of fertilizer a household uses. The thesis is organized as follows. The first three chapters following the introduction provide the framework for the analyses conducted in later chapters. Chapter 2 presents the conceptual framework utilized as the foundation for the econometric work. Chapter 3 describes the data employed in the analyses. Chapter 4 follows with detailed descriptions of the variables gathered and models formulated to answer the research questions. Chapter 5 provides a descriptive analysis of the data and characterizes the different types of households that grew crops during the agricultural seasons included in this paper. Econometric measurement of the interactions and magnitudes of the household and geographic characteristics that influence the use of fertilizer is addressed in Chapter 6. Chapter 7 explores the market system, overall use, and prices of fertilizer in Zambia. An econometric test of factors that contribute to the total quantity of fertilizer a household uses is presented in Chapter 8. This chapter explores household characteristics and geographical characteristics that affect the quantity of fertilizer a household chooses to use. The conclusions and implications of the findings appear in Chapter 9. At this point, the findings of this research are summarized and an evaluation of the trends presented. This research may assist Zambian policy makers in deciding how to continue their involvement in the fertilizer market. CHAPTER 2 LITERATURE REVIEW Modeling a household’s decision to use a new technology is a difficult process. There is substantial variation in the methods and specifications of empirical studies of technology use. This chapter introduces some of the related work from previous studies. The types of models used in other empirical work as well as the types of variables employed in other models will provide a foundation from which the current study departs. The demand for and use of fertilizer in Zambia does not follow traditional demand as described by standard economic theory. In the textbook case, product price is the mechanism that clears the market. For reasons described below, some fertilizer in Zambia is rationed, and it is likely that effective demand exceeds supply. In this market environment, the purchase of fertilizer depends upon many other factors, price being but one of them. Some of the other factors include household characteristics (i.e. family size, education, wealth) and location characteristics (i.e. proximity to markets, ease of transporting the fertilizer). For some households, fertilizer is simply not available. It is for these reasons that adjustments need to be made to standard models and sample sizes adjusted to incorporate these exceptions to standard economic theory. Defining use of technology Adoption of a new technology at the household level has been defined as “the degree of use of a new technology in long-run equilibrium when the farmer has full information about the new technology and its potential” (Feder et a1. 1985). This definition implies that adoption has two separate components: a time component indicating length of time the technology has been used, and an intensity of use component indicating the appropriateness of its use. Such long-run information is seldom obtained, however, and the “adoption” of a technology is generally reduced to a binary variable indicating use of the technology or not (Kaliba et al. 2000). In most cases, the binary variable definition is based on whether a household used or did not use the technology. The current paper follows this pattern. In the first econometric analysis the binary variable approach is used and the sample is divided into two categories: households that used fertilizer and those that did not. This approach, however, is not perfect; a major shortcoming is that households utilizing an inappropriate level of the technology are treated the same as those using an appropriate amount (Rauniyar and Goode 1992 and F eder et a1. 1985). Despite this shortcoming, the binary variable approach of modeling the use of a new technology is widely used. The second econometric analysis performed in this thesis employs the quantity of fertilizer used as the dependent variable. The results of this second analysis will indicate the household and geographic factors that affect the quantity of fertilizer a household USCS. Variables influencing fertilizer use Empirical studies identify numerous variables as being important to a household’s decision to use a new technology. The underlying characteristic of these variables is that they are hypothesized to affect the demand for the technology. Overall, the factors that affect a household’s decision to use a new technology such as fertilizer fall into three broad categories: market price and economic profitability-level variables, household- level variables, and physical and geographical-level variables. Market price and economic profitability-level factors Kherallah et al. 2001 report that market price of fertilizer had a negative effect, as economic theory would suggest, on fertilizer use in Benin. This result suggested that household use of fertilizer decreased as its price increased and its use increased as price decreased. Interestingly, the corresponding variable for fertilizer use in their study in Malawi was not found to be significant. A draft report by the Food Security Research Project in Zambia concludes the profitability of fertilizer use throughout the country is far from clear (FSRP 2001). Factors identified as deleterious to profitable fertilizer use included high variability in response rates of maize to fertilizer, climatic conditions, proper timing and quantity of application of fertilizer, existing soil fertility, and crop management practices. The variability of the price of fertilizer and indicators of the profitability of its use will be addressed in this analysis. A Household-level factors Different rates of fertilizer and other technology use are typically observed between male and female heads of household (Doss and Morris 2001). The gender of the head of household may influence the use of a new technology for various reasons. Male and female heads of households may have different levels of access to credit or to transportation assets. They may also differ in the types of crops they grow and as a result in their preferences for using fertilizer. Often when included in econometric analyses, however, the coefficient estimates of gender of the head of household variable indicates this variable to be insignificant. Results from studies in Ethiopia by Croppenstedt and Demeke 1996 indicate gender of the head of household not to be significant. Doss and Morris 2001 also found no significant influence of gender upon use of modern varieties of maize or fertilizer use among farming households in Ghana. Despite results to the contrary, Doss and Morris 2001 do suggest that gender may play a role through other institutional constraints such as access to extension visits and other resources. Age of the head of household has been found to be a significant factor affecting the use of new technologies, but of contradictory impact in some research; and even insignificant in others. Kaliba et al. 2000 found that older heads of household were more likely to use fertilizer in Tanzania. Khanna 2001 found similar results: higher levels of education and experience (both only attainable through increased years of farming) led to higher rates of use of new technologies in high-input agriculture. Sain and Martinez 1999 found the opposite affect for households in Guatemala using improved maize seeds. Several other studies of fertilizer use in Sub-Saharan Africa found age of the head of household to be insignificant (Green and Ng'ong'ola 1993, Croppenstedt and Demeke 1996, Nkonya et al. 1997, Kaliba et a1. 2000). Education of the household head is assumed to have an important, positive impact upon the adoption and use of new technologies. The results of research by Nkonya et a1. 1997 showed education to be an important factor in the household’s decision to use improved seeds. Proximity to neighbors utilizing a new technology may increase use by other households by increasing the non-user’s understanding of the technology, and therefore reducing the uncertainty of the technology (Ghadim and Pannell 1999). Sain and Martinez 1999 found a contradictory result for households in Guatemala, while the level of education of the household head was found to have a negative effect, participation in associations (another form of education) had a positive effect upon improved maize seed use. Visits by agricultural extension workers, another form of farmer learning, have been found to be significant as well (Nkonya et al. 1997, Demeke et al. 1998). However, both participation in associations and visits by extension workers are arguably endogenous to the use of new technology, which may compromise the validity of the studies’ conclusions. Labor constraints may also affect a household’s ability and willingness to adopt and use a new technology (Feder et al. 1985). It is for this reason that family size of households is typically hypothesized to have a positive effect upon a household’s decision to use new technologies; larger families would theoretically have more family members available to work on the household crops. Croppenstedt and Demeke 1996 and Green and Ng'ong'ola 1993 suggest this to be the case. Doss and Morris 2001 reported the number of adult males to significantly affect use of improved varieties of maize in Ghana. However, family size was not found to be significant by Nkonya et al. 1997 and Kaliba et al. 2000. Interestingly, Sain and Martinez 1999 hypothesized that larger families would be less likely to use improved maize seeds because the increased financial strain of larger families led to budget constraints. Farm size will generally have a positive impact on a household’s decision to adopt and use a new technology such as fertilizer (Nkonya et al. 1997, Kherallah et al. 2001). Households with larger cultivated areas will tend to have more productive assets and fewer credit constraints than smaller ones. Doss and Morris 2001 reported larger farm sizes to positively affect the use of both modern varieties of maize as well as fertilizer in Ghana. Land area cropped positively affected the results observed by Sain and Martinez 1999 who entered the land size variable as the natural logarithm for their 10 study of the use of improved maize seed in Guatemala. On the other hand, farm size may be negatively correlated with the intensity of use of fertilizer; smaller households that use fertilizer tend to use it more intensively than larger households (F eder et al. 1985). Nkonya et al. 1997 found farm size to be significant, but negatively related to improved maize seed use, indicating that households with smaller cropped areas used improved maize seed more intensively than did larger farms in Tanzania. Asset ownership has been incorporated into these studies with mixed results. Croppenstedt and Demeke 1996 used oxen ownership as a proxy for wealth and found it to be positively related to use of fertilizer in Ethiopia. Interestingly, Demeke et al. 1998 did not find livestock assets to be a significant factor in their study of fertilizer use in Ethiopia. Off-farm income is typically seen as significant in the decision of households to use new technologies. Households with lower levels of off-farm income or poor access to credit are less likely to be able to afford newer, potentially riskier, technologies (F eder et al. 1985). However, since household income is likely to be endogenous to the household decision to use fertilizer, incorporating these types of variables in econometric models must be interpreted with caution. Access to credit was significantly associated with fertilizer use in Nepal (Shakya and Flinn 1985). Green and Ng'ong'ola 1993 found access to credit to be significant, and off-farm income to be insignificant, in the use of fertilizer in Malawi. Similarly, availability of external financing for Guatemalan households was not a significant determinant of the use of improved maize seed (Sain and Martinez 1999). ll Interesting work has been pursued in analyzing farrners’ perceptions and how they influence decisions. Adesina and Zinnah 1993 and Adesina and Baidu-Forson 1995 found perceptions of yield, seed quality, tolerance to weeds, adaptability to poor soil types, tillering capacity, threshing, and tolerance to drought to be significantly related to a households’ use of modern seed varieties. Even perceptions of the ease of cooking the varities of maize were found to significantly impact a decision to use new maize varieties (Adesina and Zinnah 1993, Adesina and Baidu-Forson 1995). Physical and geographical-level factors Location of the household farm and its surrounding environment will have a significant impact on the use of new technologies such as fertilizer. Soil type and quality, levels of rainfall and other weather and natural phenomena affect crop yields and therefore the profitability of fertilizer (F eder et al. 1985). Farmers with better soil quality were found to more likely to use new soil fertility and fertilizer application technologies by Khanna 2001. In that study, regional dummy variables were created to represent the four states in the survey. Kaliba et al. 2000 incorporated a dummy variable representing households located in the low lands region. Supply constraints, in the form of poor timing of delivery, may hinder such decisions to use new technologies (Feder et al. 1985). It is for this reason that the relative level of infrastructure is typically hypothesized to affect the use of new technologies. Croppenstedt and Demeke 1996 found that fertilizer use was affected significantly by access to all-weather roads in Ethiopia. Access to fertilizer had a positive impact on fertilizer use in Ethiopia (Demeke et al. 1998). Transportation costs may also significantly affect fertilizer use (Shakya and Flinn 1985). Khanna 2001 found that a 12 “major factor” affecting the participation in soil testing was proximity to markets. Khanna 2001 also found that as the frequency of soil tests increased, testing was not restricted to more innovative or educated farmers, but rather to the ease of use as measured by the distance to the test service. Estimator models used Previous adoption and use of new technology studies have utilized a variety of econometric models. Production functions have been used to examine adoption and levels of fertilizer use (Hiebert 1974). .Feder et al. 1985 present additional studies that analyzed the use of fertilizer or other new technologies utilizing similar ordinary least squares (OLS) methods. A newer method in this area of study is to incorporate a Bayesian learning model. Applied to a household’s decision to adopt fertilizer, Bayes’ theorem states that the household will try the new technology, in small trials or on specific fields for instance, to see whether or not its performance, in output or return on investment criteria, meets their expectations. The household may perform trials, watch neighbors’ performance, or gain information from extension workers before more widely adopting or entirely rejecting the use of the new input (Feder et al. 1985, Shampine 1998, Ghadim and Pannell 1999). The majority of these adoption and use papers have incorporated maximum likelihood estimation techniques. Among the more commonly used estimation techniques are tobit (Adesina and Zinnah 1993, Adesina and Baidu-Forson 1995, Nkonya et al. 1997), logit (Green and Ng'ong'ola 1993, Sain and Martinez 1999), and probit (Negatu and Parikh 1999, Kaliba et al. 2000). These models are more appropriate than OLS for analyzing the decision to use a new technology (Feder et a1. 1985). Because of 13 the underlying specifications of these maximum likelihood models, they have a more discrete range of values. The dependent variable is constrained to values between zero and one in the case of the logit and probit models; and for the tobit model, the dependent variable can be defined to have a lower bound of zero (as would be appropriate for a fertilizer use study) but may take any positive value (Kennedy 1998). 14 CHAPTER 3 DATA AND MODEL USED Using prior research as a guide, this chapter outlines the data utilized in the current study. A description of the source of the data is followed by the statistical and econometric procedures utilized in addressing the research questions. Data utilized for the current study The data used in this paper comes from household surveys conducted in the Republic of Zambia, through the Central Statistical Office and Ministry of Agriculture, Food and Fisheries. Annually, a sample of small- and medium-scale farming households from across the entire country are surveyed in the Post-Harvest Survey (PHS). Government employees train enumerators who administer the PHS. Upon completion of the surveys, the results are entered into computer files and analyzed to find potential data entry errors. Once identified, potential errors are fixed by referencing the original survey and entering corrected values. The data utilized in the current analysis is from the PHS of the 1997/1998, 1998/1999, and 1999/2000 agricultural seasons. The structure of the PHS follows a “stratified three-stage sample design” (Megill 2000). The three stages are stratification by district, by Census Supervisory Area (CSA), and by Standard Enumeration Area (SEAS are smaller divisions within CSAs). Each of Zambia’s seventy-two districts is represented in the survey (with the exceptions of two entirely urban districts: Lusaka Urban and Ndola Urban). The process of selecting CSAs and SEAS was not random. They were selected using a probability proportional to their population. Deciding which households to interview within the selected CSAs and SEAS was not based on strictly random probabilities either. All households were divided into two 15 groups based upon total farmed area: households farming areas less than five hectares (category “A” households), and larger households farming areas between five and twenty hectares (category “B” households). Since smaller households vastly outnumber the larger ones, the survey oversampled the larger households in order to ensure adequate inclusion of these larger households in the survey. This oversampling of category B households resulted in biases towards larger households. To account for these biases, a weighting process is applied to the survey data. This weighting process is applied to the data when descriptive statistics are analyzed; weighting is not used for the econometric analyses. Each year, over seven thousand households are interviewed for the PHS. In the 1997/98 PHS, there were 7,550 households included in the survey; in 1998/99 and 1999/2000 there were 7,794 and 7,879 households included respectively (Table 1). Households that did not grow crops of any kind were not included in the analysis because they are not relevant for this paper studying household fertilizer use. Additionally, due to data entry errors, there were a number of incomplete surveys. Incomplete household entries were identified and deleted from the final data utilized in this paper. Table 1 shows that after excluding households that did not grow crops and incomplete entries, there were 6,030 households surveyed in the 1997/98 PHS survey, 6,407 households in the 1998/99 survey, and 7,557 households in the 1999/2000 survey. The total number of households represented by the survey, properly weighted, was 877,338 for 1997/98 PHS; 901,156 for 1998/99 PHS; and 801,202 for 1999/200. 16 Table 1: Number of households surveyed with and without weighting 1997/98 1998/99 1999/2000 Number of households: All households including bad entries 7,5 50 7,794 7,879 Households used in the current paper 6,030 6,407 7,557 i.e. complete entries and farming Number of households with weighting: All households including bad entries 1,160,650 1,111,473 839,580 Households used in the current paper 877,338 901,156 801,202 i.e. complete entries and farming Models utilized for the current study Probit model for use of fertilizer As previously described, the decision to use fertilizer in this paper will be modeled as a binary decision: a household either uses or does not use fertilizer. In situations such as this when the dependent variable is a discrete dummy variable (use fertilizer = 1; don't use fertilizer = 0), linear estimation is inappropriate for at least three reasons (Green 1993, Wooldridge 2000). First, the error term cannot be normally distributed since it can take only two values. Second, the error is heteroskedastic because it can be shown that the variance of the error term is not constant. Third, the estimated probabilities generated via a linear estimation would not necessarily lie between zero and one. Probabilities greater than one or less than zero are not acceptable; e. g. the use of fertilizer cannot be predicted with over one hundred percent certainty. Other estimation methods are used when the dependent variable is a discrete dummy variable. For the reasons outlined above, estimating a binary response model typically utilizes maximum likelihood estimation (MLE) techniques (Wooldridge 2000). Appropriate MLE models include the logit or probit model. The difference between these techniques is insignificant (Green 1993). The current study utilizes a probit model 17 to analyze the factors affecting the use of fertilizer among small- and medium-holding households in Zambia. The probit model takes the basic form: Yi =G(1i) (1) n 1, =b0 + ijXJ-i (2) i=1 where: Y ,- is the observed response (1 or O) for the ith household; 1,. is the underlying stimulus (reasons why the household used fertilizer or not); G is the functional relationship between observation (Y i) and the stimulus index (1,). l i = 1, 2, ..., m, is the index of observations, the sample size; Xfl- is the j’h explanatory variable for the i’h observation; b j is an unknown parameter; and j = O, 1, 2, ..., n, where n is the total number of explanatory variables. For the probit model G(.) is the standard normal distribution (cdf) and the model becomes: 11' Yi = jg(1i)'dZi (3) —00 where: g(o) is the pdf of the standard normal distribution. The output of the probit model parallels the output from traditional ordinary least squares (OLS) estimation techniques (Wooldridge 2000, Green 1993, and StataCorp 1999). The parameter estimate of each independent variable (b j) is reported with an (asymptotic) standard error and t-tests. However, interpretation of the parameter estimates is slightly different: each one-unit increase in the explanatory variable (in) leads to increasing the probit index by 0.08233 standard deviations (StataCorp 1999). 18 Obviously, this sort of interpretation is difficult. The standard procedure overcoming these obstacles is a transformation of the estimates into corresponding changes in probability. These new, transformed variables correspond to the marginal impact of changes in the explanatory variables and leads to more meaningful interpretation. The underlying meaning of the reported standard errors and t-tests follows that of traditional OLS results. Measures of the model “goodness-of-fit” include the percent correctly predicted and pseudo R-squared measurements. Percent correctly predicted measures just that, the percentage of times the predicted output correctly matches the actual observation. Another similar measure is to compare the percentage observed versus percentage predicted by the model. The pseudo R-squared measure of model goodness-of-fit is analogous to, but not as reliable as, the R-squared obtained from standard OLS regressions. Ordinary Least Squares model for total quantity of fertilizer used The analysis of factors that affect the total quantity of fertilizer used will be accomplished with an ordinary least squares model. The form of the OLS will follow standard procedures: Y = X - ,6 + e (4) where: Y is a vector of the independent variable (quantity of fertilizer used); X is a vector of independent explanatory variables (reasons that explain how much fertilizer the household used); [I is a vector of parameter estimates; and e is the error term randomly distributed around a mean of zero. 19 CHAPTER 4 METHOD AND MODEL SPECIFICATION Chapter 4 continues the introduction to the probit model and how it will be implemented in this paper. First, the operational variables (1,) of Equation (3) will be identified. Second, the model specifications employed will be discussed and outlined. Previous discussion mentioned three categories of variables that affect a household’s decision to use a technology such as fertilizer: market, household, and geographical. For the time being, only the latter two categories will be included in the analysis, market related variables will be analyzed and included in subsequent chapters. Most studies of new technology adoption and use usually ignore market prices, so the first analysis parallels these standard methods; including market price in the analysis breaks with standard operating procedure and will be reported separately. The dependent variable, use of fertilizer is a composite of household use of basal fertilizer and top dressing fertilizer. Using Table 2 as a guide, there are four potential combinations of use and non-use of basal fertilizer and top dressing fertilizer. Households could: (i) use neither basal nor top dressing (NEITHER); (ii) use basal fertilizer only (USEBAS); (iii) use top dressing fertilizer only (USETOP); or (iv) use both basal and top dressing fertilizer (U SEBOTI-I). For the current study, a fifth category of fertilizer use was created. USEl is the summation of all households that use basal fertilizer only, those that use top dressing only, and those that use both (i.e. USEl = USEBAS + USETOP + USEBOTH). 20 Table 2: Fertilizer use matrix Household uses top dressing fertilizer Household uses basal fertilizer No Yes No NEITHER USETOP Yes USEBAS USEBOTH Household uses either or both USE] = (U SEBAS + USETOP + USEBOTH) To ensure robust results across all four potential dependent variables, probit analyses were performed on each of the possible dependent variables (USEBAS, USETOP, USEBOTH, and USEl). No significant differences appeared among the results; therefore the dependent variable chosen for the current analyses was USEl, “use of basal fertilizer, top dressing fertilizer, or both”. Defining the dependent variable as USEl ensures inclusion of all households that used at least one type of fertilizer. Operational variables The dependent variable USEl, is specified as a function of both exogenous household-level variables (HHvar) and geographical variables (GEOvar) that are reasonably thought to enter into a reduced form model of fertilizer use. This is represented by equation 5. USE] = f(HHvar, GEOvar) (5) Household-level variables The household-level variables (HHvar) include data related to the gender and age of the head of household, the number of members in the household, size of total household cropped area, and productive asset ownership of the household. GENDER: dummy variable representing the gender of head of household. Male- headed households are theorized to use fertilizer more readily than female-headed 21 households. GENDER takes the value of one if the household head is male and is zero for female-headed households. AGE: age of head of household, in years. For the current study AGE is hypothesized to have a negative coefficient indicating that younger head of households will have a higher probability of using fertilizer. MALE and FEMALE: number of males (females) of any age in the household. Larger household sizes increase the labor availability for household tasks. Therefore, households with more members are more likely to have more labor available to apply fertilizer. Larger households are expected to use fertilizer more readily than smaller ones. The number of males in a household may have a more significant impact than the number of females. AREATOTL: total area cropped by the household in hectares. Households with larger farm areas are hypothesized to use fertilizer more than smaller ones. Had it been available, the variable total area owned would have been preferred to total area cropped. Total area owned provides information relating to the potential land a household could crop and therefore more exogenous to the use of fertilizer decision. FARMEQ: a dummy variable representing ownership of farm equipment. Plows, barrows, and draft animals are included in this definition of farm equipment. Households that own these types of assets would more likely use fertilizer than those without. FARMEQ takes the values of one if the household owns any farm equipment and is zero otherwise. TRANS: a dummy variable representing ownership of transportation equipment. Transportation equipment includes any transportation related asset such as bicycles, 22 wheelbarrows, and ox carts. Ownership of mechanical assets such as lorries and vans is excluded because too few households own these assets to be of any significance overall. Households owning transportation equipment would more likely use fertilizer since they would be in a better position to get it from the distribution center to the farmstead. TRANS takes the values of one if the household owns any transportation equipment and is zero otherwise. Geographical-level variables Several geographical related variables (GEOvar) were created by combining the PHS province and district definitions with maps of the country obtained from the government of Zambia. Dummy variables are used to account for regional differences arising from location of fertilizer distributors, transportation infrastructure, climate, soil productivity, and soil types. PROV: dummy variables representing the politically defined geographical regions corresponding to the provinces of Zambia. Politically, the Republic of Zambia is divided into nine provinces (Figure 1). These provincial-level dummy variables will be incorporated into models that include other geographical variables. The province-level dummy variables will account for geographically related differences between households not otherwise included in the model. As for the values of these various provincial-level dummy variables, no distinct econometric interpretation of their values can be made at this point because they incorporate all of the sources of inter-provincial variation not clearly included in the models. 23 Figure 1: Provinces of Zambia Northern Copperbelt Luapula Northwestern Western # Southern Lusaka DIST: dummy variables representing the politically defined geographical regions corresponding to the districts of Zambia. Each province is further subdivided into multiple districts; there are seventy-two districts in Zambia. District-level dummy variables will represent all physical and geographical-level variations across the survey in the models in which they are used. These other factors include soil types and productivity, levels of infrastructure and access to markets. As the case with the provincial-level dummy variables, the district dummy variables incorporate all of the omitted inter-district variation not specifically included in the models. AGROZONE: ecological zone dummy variables representing average level of rainfall in the district. Geographically, the country is divided into three regions based on levels of annual rainfall. The lowest levels of rainfall, Zone A, are found on the southern and southeastern parts of the country in Eastern, Lusaka, and Southern provinces, these areas typically have less than 800m of rainfall per year. The highest levels occur in the northern regions of the country, Zone C. These regions include most of Northern, Luapula, and Copperbelt provinces and typically receive over 1000m of rainfall annually. Zone B, the region between Zones A and C, receives between 800mm and 1000mm of rainfall annually on average. These rainfall zones follow the contour of the southern part of the country and divide the country more or less through the middle. However, due to the limitations and availability of digitized maps of the country, four ecological regions were defined in this paper (Figure 2). This modification incorporates ecological-zone boundaries that do not fall directly into specific districts. As a result, the ecological zones incorporated in this paper do not directly correspond to specific, measured levels of annual rainfall but represent relative levels of rainfall in each particular region. ZONEl corresponds to the districts located entirely in Zone A; ZONE2 represents districts that contain parts of both Zones A and B; ZONE3 includes districts in both Zones B and C; and ZONE4 is composed of districts entirely in Zone C. Holding other factors constant, households located within districts with heavier rainfall would be expected to utilize fertilizer more often than would households in districts with lower levels of rainfall because the crops and fertilizer respond more productively with adequate levels of water. Therefore, households in ecological zones three and four (ZONE3 and ZONE4) would be anticipated to use fertilizer more than the other zones on average because adequate fertilizer response requires sufficient levels of 25 rainfall. However, ZONE4 is characterized by poor soil types which may negate the benefit of more annual rainfall than other areas. Figure 2: Ecological zones of Zambia by district Zone 1 F ERT: a dummy variable representing whether there is a major fertilizer depot located in the household’s district (0 if no, one if yes). These fertilizer depots represent private traders of fertilizer, but the government through its programs, contracts these companies to use fertilizer at these depots for government distribution programs. These depots therefore represent joint commercial operations and government distribution programs; the government programs distribute fertilizer on loan, which has given rise to illegal parallel markets trading in government fertilizer. A dummy variable representing households located in districts that had a major fertilizer distribution depot is used. The a priori assumption is that households located within districts With fertilizer depots can 26 acquire fertilizer at lower cost (including transactions costs) and will tend to utilize fertilizer more than households in districts without them. The shortcoming of this variable definition is discussed below. The variable FERT takes a value of one if the household resides in a district containing a fertilizer depot and is zero otherwise. RAIL: a dummy variable representing whether the household is located in a district that is considered well-connected with railroad and/or major highway access. For many households in Zambia, impassable roads restrict access to fertilizer markets (Rashid and Zejjari 1998). The shortcoming of this variable definition is discussed below. The variable RAIL takes a value of one if the household resides in a district containing a rail- line or major transportation road and is zero otherwise. Figure 3: Districts with at least one Figure 4: Districts considered well- fertilizer depot connected The shortcoming of both the FERT and RAIL variables is that they treat all households in each district the same. Households within a district containing a fertilizer depot but actually located far from the depot are treated the same as households located close to the fertilizer depot. Similarly, households living close to a fertilizer depot in an 27 adjacent district may actually be close to the depot, but would not be considered close by virtue of the district they live it. The shortcoming of the RAIL variable follows similar reasoning. Table 3 summarizes the number of fertilizer depots and number of well-connected districts located within each of Zambia’s nine provinces. Fertilizer depots were located in nineteen districts. These distribution centers were heavily concentrated within the central region of the country (Figure 3). The line of rail and major highways connected 23 districts during the three-year period. The well-connected districts are shown in Figure 4. Table 3: Selected characteristics of Zambian provinces Province Total number of Number of districts Number of well- districts with fertilizer depots connected districts Central 6 3 5 Copperbelt 9 3 7 Eastern 8 2 1 Luapula 7 1 0 Lusaka 3 1 1 Northern 12 4 4 Northwestern 7 0 0 Southern 1 1 4 5 Western 7 1 0 Total 70 19 23 Despite the thoroughness of the three Post Harvest Surveys used in this paper, several variables were not available for inclusion in the analyses presented in this paper. Variables such as actual distance to the nearest fertilizer depot and household access to all-weather roads have been mentioned. Other variables that could not be included were household access to credit, off-farm employment and earnings, ages and levels of education of family members, and use of fertilizer in the past. 28 Model specifications Slightly different variations of the probit model specification were estimated using different groupings of the household and geographical independent variables. Table 4 lists the dependent and independent variables used in these upcoming analyses. As previously mentioned, each model used the same dependent variable: “household uses basal fertilizer, top dressing fertilizer, or both”. The first model (Model 1) incorporates both the household-level variables and geographical variables. As shown, this model includes dummy variables associated with fertilizer depots, infrastructure access, ecological zones, and provincial level location. The results of this model will indicate the relationships between household-level characteristics, fertilizer depots, level of transportation infrastructure, ecological zone, and provincial location on a household’s use of fertilizer. USE] = f(HHvar, F ERT, RAIL, AGROZONE, PROV) (Model 1) The second model (Model 2) also includes all household-level variables. However, in this model the only geographic variables used are district level dummy variables. To prevents multicollinearity between the variables, the dummy variables associated with fertilizer depots, infrastructure access, and ecological zones cannot be incorporated in a model with district dummy variables because all are defined at the district level. The advantage of Model 2 is that the district dummy variables control for all of the inter-district effects of fertilizer use and provide a within-district interpretation of the household variables. The limitation is that we are unable to directly interpret the factors accounting for the observed differences of fertilizer use between districts. USEl = f(HHvar, DIST) (Model 2) 29 Model 3 and Model 4 introduce a new set of variables: YEARvar. In these models, all households from each PHS survey are combined into one data set. A dummy variable corresponding to the year of the survey differentiates households. By incorporating a year variable, these models will describe the significance of the other variables across all of the survey periods analyzed. Additionally, the year variable will show how the use of fertilizer has changed (if at all) across the three PHS surveys. Overall, Model 3 and Model 4 mimic Model 1 and Model 2 respectively. They utilize both household-level variables and geographic-level variables. However, these third and fourth models include only the GENDER, AGE, MALE, FEMALE, AREATOTL, and F ARMEQ household-level variables; the variable TRANS is dropped. The transportation assets included in the PHS questions in survey period 1999/2000 changed, this variable does not consistently measure the same transportation assets and is not compatible across each of the surveys. Model 3 parallels Model 1 in that it utilizes the dummy variables associated with fertilizer depots, infrastructure access, ecological zones, and provincial level location, in addition to the year trend variable. Model 4 includes the district level dummy variables, in addition to the year trend variables. USEI = f(HHvar, F ERT, RAIL, AGROZONE, PROV, YEARvar) (Model 3) USE] = f(HHvar, DIST, YEARvar) (Model 4) 30 .338 £5 5 3:3: 9 mm; 8:: some 5 woe—Cow bofitmoamm 8: wring £5 8:8me 3: X X oooammxm; ooomEoo— E 832335 Eonomzoz X X aawmm 3:33 5 333325 Eonomsom X X monom MERGE E 332385 22882 agxwmx 833.8; Leek X X Ema Ame—pace.» Ct 3533.» >883 63me x x >93 Eases e asses 55% nausea x x mzowomo... 903%? a asses 38% 2.8 .8a28m X X fig 8ng vogooccooéoa X X Ham—m 8ng E @282 896 noNEtom SONG 333.23, NeoEQEwemb E: «E X X m7??? 808933 :ozmtoqgmb :30 x x x x 8sz .5538 85 :30 X X X X AHOH8nn< somumtomov uEmtm> £25:— 65 833...; no EVE—Eon "v 03:. 31 CHAPTER 5 ANALYSIS AND USE OF FERTILIZER BY HOUSEHOLD AND GEOGRAPHICAL CHARACTERISTICS This chapter will provide a basic analysis of the use of fertilizer by small- and medium-sized farming householder agriculture in Zambia. The household-level data used originates from the PHS data of the 1997/98, 1998/99, and 1999/2000 agricultural seasons. A household is considered to use fertilizer if it used any quantity of basal fertilizer, top dressing fertilizer, or both types of fertilizer on any crop. Table 5 shows the use of fertilizer matrix by all agricultural households for each of the three survey periods. Overall, fertilizer use has increased slightly over the three- year survey period. Table 5 also shows the percent of households using at least one type of fertilizer. Table 5: Fertilizer use matrix: household use of basal and top dressing fertilizer Household uses top dressing fertilizer Household uses basal 1997/98 1998/99 1999/2000 fertilizer No Yes No Yes No Yes No (%) 83.9 2.3 81.4 2.6 79.8 2.4 Yes (%) 2.1 11.7 1.5 14.5 1.6 16.2 Use either type or both 16.1 18.6 20.2 Application rate of fertilizer Table 6 shows the average application rates of both basal and top dressing fertilizers. Use between the two is fairly equal with households applying slightly less top dressing than basal fertilizer. Intensity of fertilizer use is traditionally how fertilizer use is compared. However, total average quantity of fertilizer used by households is reported as well as average intensity of fertilizer use. This is because care must be exercised in interpreting the values for intensity of fertilizer use from how the values are generated. 32 Households responding to the PHS questionnaires indicate the total area they planted to crops and total fertilizer use. Since the total fertilizer is not necessarily applied to the total area planted, the calculation of intensity of fertilizer use may be prone to errors since households do not indicate the actual area fertilized. Table 6: Quantity and intensity of fertilizer applied to crops 1997/98 1998/99 1999/2000 Total quantity used (kg) Basal fertilizer 155.7 147.1 158.7 Top dressing fertilizer 145.1 133.4 143.1 Intensity of use (kg/ha) Basal fertilizer 146.4 134.8 145.8 Top dressing fertilizer 131.1 124.7 130.8 The Zambian Ministry of Agriculture, Forestry and Fisheries provides general fertilizer application rates for crops grown across the country. These recommendations for inputs are posted in many MAF F offices as the “General Fertilizer Recommendations for Major Crops in Zambia”. Application rates of fertilizer for maize are 200 kilograms of basal fertilizer and 200 kilograms of top dressing fertilizer per hectare (FSRP 2001). These suggested application rates may be useful, but such broad recommendations are problematic because they ignore factors that affect yield responses of fertilizer such as differences in climate and terrain (Benson et al. 1997). Area specific recommendations are more appropriate than nationwide ones. Nevertheless, the data above suggest that overall quantities of fertilizer applied in Zambia are lower than the recommended quantities by a factor of approximately twenty-five percent. 33 Household characteristics Table 7 summarizes the descriptive statistics of variables analyzed in this paper for all households in the three Post Harvest Surveys that grew crops. There are few notable differences between reported household characteristics across the three-year sample period. The one exception is ownership of transportation assets. The reported ownership of these types of assets fell from roughly twenty-five percent in the first two survey periods to five percent in the last survey period. This reported drop in asset ownership is due to a change in the survey question actually asked: transportation equipment included ox-carts, bicycles, and wheelbarrows on the PHS from the 1997/98 and 1998/99 surveys; only ox-carts were considered in the PHS for the 1999/2000 agricultural season. Households that owned wheelbarrows or bicycles, but not ox-carts, would be included in the first two years as owning transportation equipment, but not during the last survey period. The increase in the value of these assets corresponds to the exclusion of these less-expensive assets. 34 Table 7: Characteristics of households that grow crops 1997/98 1998/99 1999/2000 Characteristics of household head Female 23.2% 24.0% 23.5% Male 76.8% 76.0% 76.5% Age (in years) 44.6 44.9 42.7 (14.65) (15.13) (14.11) Household size (number of members) 5.73 6.04 6.14 (3.00) (3.263) (3.40) Males 2.71 2.95 3.05 (1.73) (1.92) (2.09) Females 3.02 3.09 3.09 (1.90) (2.02) (2.00) Total hectares cropped 1.36 1.47 1.45 (1.32) (1.44) (1.34) Total per capita hectares cropped 0.275 0.284 0.281 (0.277) (0.293) (0.296) Value of household crop production 603.9 544.1 470.0 (1 ,0005 ZK) (1011.70) (789.27) (751.63) Households owning farm equipment (%) 12.8% 14.2% 13.8% Average number owned 1.7 1.8 1.7 (1.24) (1.26) (1.16) Value for those owning (1,0003 ZK) 422.8 385.6 325.7 (287.94) (265.27) (214.04) Households owning transportation 23.9% 26.6% 5.4% equipment (%) Average number owned 1.2 1.2 1.1 (0.59) (0.61) (0.48) Value for those owning (1,0005 ZK) 322.0 272.6 509.0 (159.14) (133.91) (214.06) Note: Standard deviation in 0. Zambian Kwacha values in 2000 ZK. Table 8 divides each sample period into two groups by use of fertilizer. Consistently across the surveys, when compared to households that do not use fertilizer, households that use fertilizer tend to have slightly younger heads of households, larger number of household members, and crop larger areas. Average value of household crop production was found to be substantially larger for households using fertilizer than for 35 households not using fertilizer: in 1997/98 household crop income was 1.9 times higher for fertilizer-using households, in 1998/99 it was 1.5 times higher, and in 1999/2000 it was 1.7 times higher. Households that used fertilizer were over twice as likely to own productive assets such as farm equipment and transportation equipment as households that did not use fertilizer. Additionally, for households that did own assets, they tended to own more of them in absolute terms than other non-fertilizer using households. Another striking result shown in this table is the percent of female-headed households that use fertilizer (Table 9 further explores this finding). F emale-headed households are about half as likely to use fertilizer as male-headed households: between nine percent and thirteen percent of the female-headed households used fertilizer while between eighteen percent and twenty-three percent of male-headed households used fertilizer. 36 :8» E3» E8 358$ch Co _o>o_ £1 a ESE—Em 8a $3236 3865 _. 2N coon E $23 3326. :aBEaN 6qu 37 as _ m ~an Scam Qoom m.mmm Nwom .. QN wooed 3:56 305 no.“ 33> NA 2 m; N; m; NA _. 35.6 558:: owSo>< 3: 3 2m 98 we. EN 3 ease?” 332338“ 3:56 mEonomsom Vwom Nam 0on 9me No: Q. 5v .. QM wooed 9:850 035 no.“ 33> a; m._ Nd 0; mg 04 .. @330 ~33: owm3>< m. _ m o.: Nam o.m g fiom YM _ 3% 30:336.... 83m 3:56 mEonomsoI 2.3 Ndmm osmcfi :qu Wmvfl odov .. ON 88.: . 3:333 mob 29.033 mo 33> end Rd mmd nmd emd omd .. 35 c338 83 :39 8&8 Dom SN om; 2N mm; cod mm; _. $5 3398 33 30,—. m.m o.m m.m 9m 9m QN ...moEEom 9m ad var. Wm m.m Wm .332 _.n ah o8 w.m m6 m.m .. @3808 we SD35 36 23325 we. 99. NE. E. as. on. . 0? .XENN $0.? Ax.m.om $03. §v.w~ $0. _ w 232 ..\&.m_ femsm flag sing famx .xcm. 3 235m 33 23030: no 8558830 mo> 02 mm; oz 9; o Z ooomEaE 3:33 wmkma “35:0“ mo 03 Bosomsoz 33:20.. he 3: .3 agar—833:9 2.53:3.— "m 93.2.. Table 9 provides additional detail on the observation made in Table 8 of the difference in fertilizer use by female-headed households and male-headed households. The data in Table 9 indicate that female-headed households make up roughly one-quarter of the number of households included in this data set. These households generally used less fertilizer than male-headed households, tended to have fewer household members, and cropped smaller areas on average. In addition to smaller aggregated cropped area, larger proportions of female-headed households cropped smaller areas than male-headed households: roughly one half of all female-headed households cropped areas less than 0.75 hectares while less than one-third of male-headed households cropped such small farms. Only five or six percent of all female-headed households cropped areas larger than 2.5 hectares while between 14 and 16 percent of male-headed households cropped farms this size or larger. 38 Table 9: Household characteristics by gender of head of household 1997/98 1998/99 1999/2000 Female Male Female Male Female Male Percent of all households 23.2 76.8 24.0 76.0 23.5 76.5 Percent using fertilizer No 91.5 81.6 87.7 79.5 87.2 77.6 Yes 8.5 18.4 12.3 20.5 12.8 22.4 Household size* 4.7 6.0 5.1 6.3 5.3 6.4 Total hectares cropped* 0.98 1.48 1.10 1.59 1.09 1.56 Distribution of cropped area (%) 0 - 0.75 ha 46.2 28.2 47.8 26.1 41.2 26.2 0.75 - 1.5 ha 36.8 36.8 36.6 34.9 35.3 35.4 1.5 - 2.5 ha 11.9 20.7 14.4 23.1 16.9 22.2 2.5 + ha 5.1 14.3 6.2 15.9 6.6 16.3 Asset ownership (% own) Farm equipment 5.3 15.1 6.3 17.0 7.0 15.8 Transportation 8.8 28.5 11.8 31.3 2.2 6.3 Equipment - indicates differences are Significant at 1% level of Significance for every year. Physical and geographical characteristics Table 10 presents breakdowns of the population of farming households by their geographical location. Eastern and Northern are the most heavily populated provinces accounting for approximately 40 percent of all households. Population is fairly equally distributed across each of the four ecological zones with Zone 3 having the fewest and Zone 4 having the largest number of households. The results indicate that approximately one-third of all households live in a district with a fertilizer depot and one-third live in a district considered well-connected. Slightly less than one-quarter of all households live in districts with a fertilizer depot and considered well-connected. 39 Table 10: Population by geographical characteristics (% of all households) 1997/98 1998/99 1999/2000 Provinces Central 9.1 8.9 8.4 Copperbelt 4.4 4.0 4.3 Eastern 22.0 20.8 23.4 Luapula 13.7 13.8 13.1 Lusaka 1.8 1.9 2.2 Northern 18.4 19.0 16.6 Northwestern 6.3 6.2 6.2 Southern 12.5 13.4 13.] Western 11.7 11.9 12.8 Ecological zones Zone 1 21.3 21.9 22.2 Zone 2 26.4 25.8 28.7 Zone 3 12.2 12.2 11.8 Zone 4 40.1 40.1 37.4 Fertilizer depot in district No 64.8 65.5 66.7 Yes 35.2 34.5 33.3 Well-connected district No 68.0 68.0 70.2 Yes 32.0 32.0 29.8 Fertilizer depot and well-connected district No 76.5 76.5 77.7 Yes 23.5 23.5 22.3 While overall fertilizer use increased from sixteen percent in 1997/98, to eighteen percent in 1998/99, to twenty percent in 1999/2000, fertilizer use varied widely across provinces (Table 11). Central, Copperbelt, and Lusaka provinces exhibited the highest rates of fertilizer use across the three years. The most notable and consistent increases in use occurred in Eastern and Southern provinces. Use in Eastern rose by eight percent and in Southern by sixteen percent. The lowest rates of use, as well as notable declining rates of use took place in Luapula, Northwestern, and Western provinces. The wide ranges of 40 fertilizer use across provinces may be attributable to many different factors such as soil types and types of crops grown, weather patterns, level of transportation infrastructure and access to markets. Table 11: Fertilizer use by province Percent of households using fertilizer Province 1997/98 1998/99 1 999/2000 Central 31.2 39.4 33.7 “Copperbelt 30.0 40.3 32.4 Eastern 20.1 20.9 28.5 Luapula 6.2 6.9 5.0 Lusaka 32.4 31.4 36.5 Northern 14.1 16.4 14.4 Northwestern 5.6 6.5 3.5 Southern 22.0 27.6 38.7 Western 3.0 2.7 1.1 National average 16.1 1 8.6 20.2 Analysis by ecological zones also yields notable differences in fertilizer use by region. Contrary to expectations, higher rates of fertilizer use occur in the dryer, southern areas of the country (Zone 1 and Zone 2) in 1998/99 and 1999/2000 (Table 12). These results may be attributed to many factors including differences in soil types and consistency of rainfall as previously mentioned. Fertilizer use appears to be increasing in the dryer regions at the same time it is decreasing in the wetter areas of the country. Table 12: Fertilizer use by ecological zone Percent of households using fertilizer Ecological zone 1997/98 1998/99 1999/2000 Zone 1 17.4 20.6 29.0 Zone 2 20.6 24.4 27.1 Zone 3 18.9 18.1 15.7 Zone4 11.6 13.8 11.0 Fertilizer use occurs more often in districts with a fertilizer depot. During the survey periods, nineteen of the seventy districts included in the survey had fertilizer 41 depots. Conforming to expectations, households located in these districts were more likely to use fertilizer. Thirty-five percent of households with fertilizer depots in their districts used fertilizer in 1999/2000 (Table 13). Table 13: Fertilizer use by fertilizer depot in district Percent of households using fertilizer Fertilizer depot in district 1997/98 1998/99 1999/2000 No 9.9 12.7 12.7 Yes 27.6 29.7 35.0 Overall use of fertilizer in Zambia is also related to the level of infrastructure in each district. While the quality and availability of infrastructure varies greatly across the country, there are twenty-three districts considered well-connected, meaning they had higher levels of infrastructure than the others. Higher levels of infrastructure constituted either rail line or major highway access. Table 14 shows a higher percentage of households used fertilizer if they were located in one of these well-connected districts. Table 14: Fertilizer use by well-connected districts Percent of households using fertilizer Well-connected district ' 1997/98 1998/99 1999/2000 No 7.7 9.8 1 1.0 Yes 33.8 37.2 41.8 While previous tables, (Table 13 and Table 14) show fertilizer to be higher in both districts with fertilizer depots and well-connected districts, Table 15 demonstrates this finding more explicitly and in more detail. As shown, fertilizer use occurs at higher rates in districts with a fertilizer depot or considered well-connected than in districts without depots and with lower levels of transportation infrastructure. The final columns of Table 15 indicate that in districts with a fertilizer depot and with higher levels of infrastructure fertilizer use is significantly higher than in other districts. This result further supports 42 previous findings as well as develops an understanding of how these characteristics affect household use of fertilizer in Zambia. The district in which a household lives appears to have a large effect upon a household’s use of fertilizer. However, households located in districts without fertilizer depots and not well- connected in Central, Copperbelt, Eastern, and Lusaka provinces exhibited rates of fertilizer use comparable to households living in districts with both characteristics but in other provinces; e. g. household use of fertilizer in Northern districts with both fertilizer depot and well-connected was 26 percent in 1999/2000, which is lower than fertilizer use in districts lacking fertilizer depots and not considered well-connected in Central, Copperbelt, and Lusaka provinces. This finding suggests several things may be occurring in these areas. Differences in the ecological zones could be part of the explanation. Another possibility is that households in these districts may have higher rates of asset ownership. These alternative explanations cannot be addressed using bivariate analysis. 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Table 16, columns a, b, and c, demonstrates that maize is the most commonly planted crop and has consistently been grown by over seventy percent of all households. Other commonly grown crops are root crops (grown by nearly half of all households), groundnuts (grown by roughly one-third of all households), and sorghum and millet (grown by about one-quarter of all households). The other half of Table 16, columns d, e, and f, shows the total land area planted to the crop groups. While over one third of all households grow these crops, the total area planted to groundnuts and sorghum and millet represented less than twenty percent of total cropped land among these households in Zambia. Root crops were planted on about 25 percent of all cropped land while maize was grown on roughly half. Table 16: Household planting patterns and total area cropped by crop groups Percent of households growing crop Percent of total hectares planted (a) (b) (C) (d) (e) (0 l 997/ 98 l 998/ 99 1999/2000 1 997/ 98 l 998/ 99 1999/2000 Maize 70.2 75.0 76.2 44.2 45.0 49.5 Sorghum & 24.7 26.2 24.7 7.9 8.4 7.8 millet Groundnuts 38.8 38.9 25.2 10.2 9.2 6.2 Cotton 9.8 8.7 5.5 6.7 5.4 3.2 Tobacco a 0.9 0.5 0.9 0.5 0.2 0.5 Root crops b 45.4 51.6 52.8 25.1 26.2 27.9 Beans c 12.0 13.1 9.3 2.8 3.1 2.4 100.0% 100.0% 100.0% a Tobacco includes burley tobacco and Virginia tobacco. b Root crops includes cassava, sweet potatoes, and Irish potatoes. C Beans includes soyabeans, mixed beans groundbeans, cowpeas, and velvet bean d Other crops includes sunflower, rice, coffee. vegetables, and all other crops grown. 45 Columns a, b, and c of Table 17 show that maize is fertilized by over twenty percent of the households that grow maize. However, columns (1, e, and f show that almost all of the total quantity of fertilizer used is applied to maize; over ninety percent of all fertilizer applied to crops by these households is used on maize. Cash crops grown by these households do not represent a significant use of fertilizer. Cotton was grown by less than ten percent of these households and received less than one percent of total fertilizer. Conversely, while less than one percent of households grew tobacco, over eighty-five percent of those households used fertilizer on tobacco. Despite the highest rate of fertilizer application, this paper will not analyze fertilizer use on tobacco because fewer than one percent of all households grew tobacco (accounting for less than one-tenth of one percent of all fertilizer used). There are too few observations for meaningful analysis, as well as little variation in the dependent variable. Unfortunately, due to the structure of the questions, there is no way of knowing which crops the “Other Crops” group includes with any precision. It may be enlightening to understand the substantial decline in fertilizer use on those crops. 46 Table 17: Household use of fertilizer by crop groups Percent Of this crop fertilized Percent of total fertilizer used * (a) (b) (c) (d) (e) (0 1997/98 1998/99 1999/2000 1997/98 1998/99 1999/2000 Maize 20.2 22.7 26.0 89.4 95.7 98.9 Sorghum & 1.0 0.4 0.8 0.2 0.1 0.2 millet Groundnuts 0.1 0.1 0.1 0.2 0.1 -- Cotton 0.2 0.4 0.1 0.1 -- -- Tobacco a 85.5 92.2 82.9 -- -- -- Root crops b 0.1 0.3 0.2 -- 0.2 0.1 Beans C 1.7 0.9 1.3 0.3 -- 02 Other crops d 6.4 5.8 2.8 9.9 4.0 0.7 100.0% 100.0%” 100.0% * -- indicates less than 0.05 percent of total fertilizer was used on this crop group. a Tobacco includes burley tobacco and Virginia tobacco. b Root crops includes cassava, sweet potatoes, and Irish potatoes. c Beans includes soyabeans, mixed beans groundbeans, cowpeas, and velvet bean. d Other crops includes sunflower, rice, coffee, vegetables, and all other crops grown. Table 18 shows an analysis of crops grown by ecological zone. The trends shown demonstrate why overall fertilizer use is lower in the regions of the country that receive more rainfall. Since maize receives the vast majority of fertilizer used in Zambia and is planted on over half of cropped land in Zones 1 and 2, higher rates of fertilizer use in these regions is not unexpected. Similarly, since root crops are the primary crop in Zone 4, lower rates of fertilizer use are not surprising in these areas since root crops do not respond well to fertilizer (Yanggen et al. 1998). These trends suggest that other factors such as soil types and consistency of rainfall (which effect household cropping decisions) in these regions may be determining fertilizer use patterns. 47 Table 18: Total area planted to crop groups by ecological zone Crop Grogis Zone 1 Zone 2 Zone 3 Zone 4 1997/98 Maize 68.1% 57.8% 38.2% 17.8% Millet & Sorghum 5.1% 3.5% 22.8% 9.2% Ground Nuts 14.0% 12.5% 5.2% 7.2% Cotton 5.9% 15.9% 4.7% 0.0% Tobacco a 0.1% 1.5% 0.0% 0.0% Root Crops b 1.1% 4.4% 24.4% 59.7% Beans C 1.3% 1.7% 1.8% 5.1% Other Crops d 4.4% 2.8% 2.8% 0.9% 1998/99 Maize 69.7% 59.1% 41.9% 19.8% Millet & Sorghum 5.4% 3.4% 22.1% 10.1% Ground Nuts 12.5% 11.2% 4.2% 7.0% Cotton 6.1% 13.2% 2.6% 0.0% Tobacco a 0.0% 0.8% 0.1% 0.0% Root Crops b 2.2% 7.3% 24.3% 55.8% Beans C 1.2% 1.4% 3.0% 5.5% Other Crops d 2.9% 3.6% 1.7% 1.7% 1999/2000 Maize 77.4% 62.4% 42.2% 22.8% Millet & Sorghum 5.0% 3.0% 21.5% 9.9% Ground Nuts 7.6% 7.8% 2.7% 4.9% Cotton 2.1% 8.8% 0.8% 0.0% Tobacco a 0.0% 1.6% 0.0% 0.0% Root Crops b 4.2% 10.4% 29.9% 56.9% Beans c 1.0% 1.5% 1.2% 4.3% Other Crops d 2.6% 4.4% 1.7% 1.2% a Tobacco includes burley tobacco and Virginia tobacco. b Root crops includes cassava, sweet potatoes, and Irish potatoes. c Beans includes soyabeans, mixed beans groundbeans, cowpeas, and velvet bean. d Other crops includes sunflower, rice, coffee, vegetables, and all other crops grown. In addition to fertilizer use being influenced by the household’s proximity to fertilizer distributors, their ability to purchase and transport the fertilizer, and their sales of output at local markets, important consideration must be given to the response Of the crops to the fertilizer being applied. Maize consistently exhibits the best overall yield response to fertilizer in Sub-Saharan Africa (Yanggen et al. 1998). Sorghum, millet, groundnuts, and cotton yield response is generally moderate when compared to the high yield response Of maize. Table 19 demonstrates the yield response of maize across Zambia. Since previous analyses have shown that maize receives the vast majority Of fertilizer applied to crops in Zambia (Table 16 and Table 17), yield analysis of other crops is ignored. The data indicate that households using fertilizer on maize can expect to receive substantially higher yields than those not applying fertilizer to maize. The findings are consistent across each ecological zones. Since the data suggest that yields are over fifty percent higher using fertilizer on maize, there appears to be a definite output response from using fertilizer on maize. Table 19: Maize yield with and without use of fertilizer Yield (1,000 kg/ha) “ 1997/98 1998/99 1999/2000 Overall maize yield 1.28 1.43 1.48 HH does not use fertilizer on maize 1.15 1.29 1.31 Ecological zone - Zone 1 1.13 1.30 1.44 Zone 2 1.09 1.28 1.36 Zone 3 1.30 1.23 1.26 Zone4 1.18 1.34 1.14 HH uses fertilizer on maize 1.89 1.99 2.02 Ecological zone Zone 1 1.83 1.91 2.01 Zone 2 1.79 2.06 2.09 Zone 3 2.22 1.92 2.01 Zone 4 1.88 2.00 1.90 1nd1cates differences are Slgmficant at 1% level of s1gn1ficance for every year. 49 CHAPTER 6 ECONOMECTIC ANALYSIS OF FERTILIZER USE ON MAIZE IN ZAMBIA The previous chapter addressed the question of what household and geographical characteristics are likely impact a household’s decision to use fertilizer. Chapter 6 further develops that exploration. The econometric analyses that follow measure the quantitative interactions between these dependent variables identified as relevant in understanding the use of fertilizer by small- and medium-households in Zambia. In all of the following analyses, the sample sizes have been reduced. The number of Observations was restricted to include only households located in districts in which there was at least one household using fertilizer. This restricted sample guarantees to the extent possible that all households included in this analysis might reasonably have been able to access fertilizer. The underlying assumption of this restriction is if at least one household used fertilizer in a district, other households at least had access to fertilizer as well. This procedure is designed to exclude households that did not use fertilizer because using it was not an option. Another modification to the data utilized in this chapter is that this section of the paper focuses on households that grow maize. Restricting the data in this way ensures that the analysis is based on a sample of households with similar production patterns including cultivation of the crop that receives the bulk of fertilizer applied in Zambia. As previously shown, maize received 90 percent or more of all fertilizer used in Zambia. This additional change should improve the interpretation of the econometric results. Table 20 repeats some data presented in columns a, b, and c in Table 16 and further demonstrates that households growing maize constitute the vast majority of households using fertilizer. In 1997/98 over ninety-six percent of the households that used fertilizer 50 grew maize, and in 1999/2000 ninety-nine percent of all households that used fertilizer grew maize. Table 20: Fertilizer use matrix, households growing maize 1997/98 1998/99 1999/2000 Households growing maize as percent of All households growing crops 70.2 75.0 76.2 All households using fertilizer 96.4 98.1 99.3 Table 21 shows the sample sizes for each survey period after incorporating the restrictions on the data. In 1997/98 the sample fell by 2,339 households (39 percent), in 1998/99 the sample shrunk by 3,552 households (46 percent), and in 1999/2000 the sample size fell by 2,727 households (37 percent). Table 21: Original and restricted sample sizes Number of households 1997/98 1998/99 1999/2000 Entire sample 6,030 7,794 7,879 (all households growing crops) Restricted sample 3,691 4,242 5,152 (households growing maize in districts with at least one household using fertilizer) Correlations between the variables used in the analyses are presented in Table 22, Table 23, and Table 24. Multicollinearity issues were examined, but none Of the correlations between independent variables were over 0.60. The highest correlation (0.522 in 1998/99 and 0.531 in 1999/2000) is between location of a fertilizer depot in the district (FERT) and districts with higher levels of transportation infrastructure (RAIL). 51 Table 22: Correlations between the variables, 1997/98 fider age male female areatotl farmeq trans fert rail zonel zone2 gender 1.000 age -0.095 1 .000 male 0.225 0.1 15 1.000 female 0.080 0.128 0.454 1.000 areatotl 0.163 0.151 0.380 0.355 1.000 farmeq 0.154 0.140 0.324 0.281 0.485 1.000 trans 0.191 0.039 0.244 0.180 0.364 0.387 1.000 fert 0.003 -0.014 0.057 0.045 0.092 0.135 0.084 1.000 rail 0.042 -0.002 0.090 0.102 0.101 0.126 0.106 0.529 1.000 zonel 0.009 0.007 0.076 0.089 0.118 0.250 0.064 0.464 0.176 1.000 zone2 -0.039 0.041 -0.024 -0.017 0.014 0.079 0.033 -0.257 —0.169 -0.450 1.000 zone3 -0.016 0.018 -0.007 0.009 -0.017 -0.071 -0.043 0.158 0.314 -0.189 -0.263 zone4 0.045 -0.065 -0.043 -0.073 -0.118 -0.280 -0.069 -0.273 0196 -0.346 -0.483 p1 0.016 0.060 0.064 0.100 0.091 0.087 0.057 -0.094 0.278 -0.244 0.159 p2 0025 -0.020 -0.039 -0.051 -0.097 -0.131 -0.004 -0.112 0.142 -0.173 -0.241 p3 -0.065 -0.029 -0.097 -0.115 0.004 -0.005 0.083 0.078 -0.213 0.001 0.480 p4 0.057 -0.049 -0.036 -0.023 -0.039 -0.122 -0.009 -0.l78 -0.200 -0.127 -0.178 p5 -0.004 -0.011 0.005 0.020 -0.046 -0.039 -0.077 -0.029 -0.023 0.359 0161 p6 0.026 -0.016 -0.008 -0.026 0.006 -0.140 -0.071 0.088 -0.020 -0.192 -0.269 p7 0.012 -0.026 -0.019 -0.045 -0.106 -0.131 -0.063 -0.246 -0.239 -0.152 -0.212 p8 0.060 0.002 0.143 0.153 0.139 0.330 0.074 0.279 0.316 0.597 -0.191 p9 0062 0.090 -0.033 -0.028 -0.074 -0.027 -0.131’ 0.025 -0.212 -0.135 0.300 zone3 zone4 p 1 p2 p3 p4 p5 p6 p7 p8 p9 zone3 1.000 zone4 -0.203 1.000 p1 0.481 -0.262 1.000 p2 -0.101 0.499 -0.131 1.000 p3 -0.210 -0385 -0.272 -0. 192 1.000 p4 0075 0.368 -0.097 -0.068 -0.142 1.000 p5 -0.068 -0. 124 -0.088 -0.062 -0. 129 -0.046 1.000 p6 0.141 0.385 -0.146 -0. 103 -0.214 -0.076 -0.069 1.000 p7 0.027 0.361 -0.1 15 -0.082 -0. 169 -0.060 -0.055 -0.091 1.000 p8 -0.147 -0.269 -0.190 -0.134 -0.278 -0.099 -0.090 -0.149 -0.118 1.000 p9 0079 -0.145 -0.102 -0.073 -0.150 -0.053 -0.049 -0.081 -0.064 -0.105 1.000 52 Table 23: Correlations between the variables, 1998/99 gender age male female areatotl farmeq trans fert rail zonel zone2 gender 1.000 age -0.074 1 .000 male 0.219 0.126 1.000 female 0.087 0.112 0.428 1.000 areatotl 0.165 0.1 12 0.384 0.308 1.000 farmeq 0.147 0.157 0.290 0.245 0.439 1.000 trans 0.217 0.045 0.235 0.183 0.337 0.351 1.000 fert 0.030 0.01 1 0.060 0.059 0.104 0.103 0.1 15 1.000 rail 0.047 -0.012 0.084 0.070 0.079 0.089 0.108 0.522 1.000 zonel -0.003 -0.004 0.061 0.066 0.073 0.244 0.059 0.421 0.162 1.000 zone2 0.003 0.045 -0.019 -0.010 0.019 0.117 0.058 -0.194 -0.136 -0.401 1.000 zone3 -0.049 -0.009 -0.001 0.002 -0.048 -0.118 -0.085 0.076 0.222 -0.209 -0.273 zone4 0.034 -0.037 -0.037 -0.053 -0.053 -0.263 -0.054 -0.244 -0.l69 -0.360 -0.470 p1 0.002 0.024 0.084 0.078 0.076 0.085 0.036 -0.046 0.321 -0.219 0.139 p2 0.022 -0.003 -0.042 -0.036 -0.081 -0.124 0.007 -0.108 0.149 -0.161 0210 p3 -0.025 -0.005 -0.084 -0.095 -0.008 0.018 0.026 0.050 -0.221 -0.014 0.478 p4 0.030 -0.006 -0.014 -0.021 -0.018 -0.097 0.057 -0.128 -0.188 -0.121 -0.159 p5 0015 0.013 0.005 0.014 -0.041 -0.016 -0.052 0.005 0.009 0.354 -0.142 p6 -0.008 -0.024 -0.006 -0.034 0.053 -0.160 -0.071 0.049 -0.016 -0.226 -0.295 p7 0.003 -0.026 -0.023 0.003 -0.099 -0.110 -0.094 -0.242 -0.238 -0.154 -0.201 p8 0.041 -0.020 0.103 0.110 0.105 0.297 0.075 0.239 0.280 0.639 -0.187 p9 0050 0.066 -0.031 -0.007 -0.089 -0.019 -0.027 0.028 -0.210 -0.135 0.338 zone3 zone4 p1 p2 p3 p4 p5 p6 p7 p8 p9 zone3 1.000 zone4 -0.245 1 .000 p1 0.438 -0.257 1.000 p2 -0. 109 0.446 -0.1 15 1.000 p3 -0.1 13 -0.402 -0.245 -0.180 1.000 p4 0083 0.337 -0.087 -0.064 -0.136 1.000 p5 -0.074 -0. 127 -0.078 -0.057 -0. 121 -0.043 1.000 p6 0.043 0.486 -0.161 -0.1 18 -0.252 -0.089 -0.080 1.000 p7 0.104 0.276 -0.110 -0.080 -0.171 -0.061 -0.054 -0.1 13 1.000 p8 0163 -0.281 0171 -0.125 -0.267 -0.095 -0.085 -0.176 —0.120 1.000 p9 0092 -0.159 -0.097 -0.071 -0.151 -0.054 -0.048 -0.100 -0.068 -0.106 1.000 53 Table 24: Correlations between the variables, 1999/2000 gender age male female areatotl farmeq trans fert rail zonel zone2 gender 1.000 age -0.077 1.000 male 0.208 0.196 1.000 female 0.055 0.169 0.442 1.000 areatotl 0.157 0.177 0.345 0.296 1.000 farmeq 0.123 0.162 0.261 0.228 0.397 1.000 trans 0.104 0.172 0.262 0.223 0.414 0.606 1.000 fert 0.025 0.010 0.043 0.030 0.103 0.087 0.075 1.000 rail 0.048 0.061 0.122 0.093 0.107 0.077 0.073 0.531 1.000 zonel 0.035 -0.001 0.059 0.069 0.012 0.248 0.108 0.355 0.115 1.000 zone2 -0.060 0.041 -0.052 -0.033 0.015 0.092 0.102 -0.196 -0.136 -0.431 1.000 zone3 -0.023 -0.007 -0.005 -0.015 -0.054 -0.117 -0.065 0.099 0.245 -0.209 -0.252 zone4 0.045 -0.037 0.000 -0.023 0.010 -0.258 -0.168 -0.209 -0.138 -0.377 -0.457 p1 0.021 0.052 0.050 0.074 0.019 0.041 0.063 -0.058 0.297 -0.239 0.171 p2 0.030 0.030 0.036 0.006 .0001 ~0.108 -0.066 ~0.102 0.156 0.180 ~0.218 p3 -0.065 -0.038 -0.084 -0.081 0.007 0.012 0.084 0.062 -0.203 0.018 0.407 p4 -0.006 -0.036 -0.041 -0.038 -0.054 -0.107 -0.074 -0.121 -0.187 -0.133 0161 p5 0.021 0.033 0.001 0.001 -0.070 -0.010 -0.015 0.026 0.032 0.340 0147 p6 0.038 -0.006 0.010 -0.008 0.118 -0.156 -0.106 0.060 -0.018 -0.231 -0.279 p7 0.010 -0.069 -0.010 -0.009 -0.092 -0.100 -0.049 -0.208 -0.202 -0.144 -0.174 p8 0.033 0.013 0.119 0.126 0.085 0.314 0.121 0.223 0.267 0.592 -0.187 p9 0061 0.016 -0.097 -0.091 -0.125 -0.018 -0.072 -0.047 -0.251 -0.073 0.316 zone3 zone4 p 1 p2 p3 p4 p5 p6 p7 p8 p9 zone3 1.000 zone4 -0.221 1.000 p1 0.445 -0.253 1.000 p2 -0. 106 0.478 -0.121 1.000 p3 -0.096 -0.3 79 -0.240 -0.181 1.000 p4 -0.078 0.353 -0.089 -0.067 -0.134 1.000 p5 0071 -0.128 -0.081 -0.061 -0.122 -0.045 1.000 p6 0.050 0.484 ~0.155 0.1 17 0232 -0.086 ~0.079 1.000 p7 0.070 0.275 -0.096 -0.073 -0.144 -0.054 -0.049 -0.093 1 .000 p8 -0.152 -0.276 -0.175 -0.132 -0.261 -0.097 -0.089 -0.169 -0.105 1.000 p9 -0.104 0.189 -0.120 -0.090 -0.179 -0.067 -0.061 -0.116 -0.072 -0.130 1.000 54 Review of models employed Prior to discussing details from the econometric analysis, a quick review of the model formats: USEl = f(HHvar, F ERT, RAIL, AGROZONE, PROV) (Model 1) USE] = f(HHvar, DIST) (Model 2) USE] = f(HHvar, F ERT, RAIL, AGROZONE, PROV, YEARvar) (Model 3) USE] = f(HHvar, DIST, YEARvar) (Model 4) In Model 1 and Model 3, the ecological zone dummy variable Zone 4 and Eastern province were chosen as the omitted ecological zone variable and provincial level variable. The model results are normalized in terms of this province and ecological zone combination. Zone 4 and Eastern province were chosen because they contained the largest number of farmers. Similarly, in Models 2 and 4, Chipata district in Eastern province was chosen as the base variable for the same reason. The results of the probit analysis of Model 1 are presented in Table 25 (page 62), Model 2 in Table 26 (page 63), and the results of Model 3 and Model 4 are in Table 28 (page 66). Overall, each model predicts a household’s probability of fertilizer use fairly well, as demonstrated by the accuracy of the observed versus the predicted values from the models shown at the bottom of each table of results. For example, looking at the results of Model 1, 1997/98, approximately 27 percent of the sample included in the probit model used fertilizer; the model predicted that about 23 percent of the households would use fertilizer. 55 Analysis of household-level variables The signs of the coefiicients of each household-level variable are as anticipated. Contrary to results reported by Croppenstedt and Demeke 1996 and Doss and Morris 2001, the coefficient on the GENDER variable is significant across each year and each model, with the exception of Model 1, 1998/99. The 1997/98 coefficient of 0.2364 from Model 1 indicates that male-headed households growing maize were found to be more likely to use fertilizer than female-headed households. This value’s corresponding marginal impact (dF/dx) of 0.0685 indicates that male-headed households growing maize are approximately seven percent more likely to use fertilizer than female-headed households. The coefficient of the AGE variable, which was not found to be significant by Green and Ng'ong'ola 1993, Croppenstedt and Demeke 1996, and Nkonya et al. 1997, was found to be consistently significant, although of small magnitude, in the models used here. These negative coefficients contradict the findings for Tanzanian households (Kaliba et al. 2000) and suggest that younger heads of households that grow maize are more likely to use fertilizer than older ones. Again using Model 1, 1997/98 values as a guide, the marginal impact of one additional year of age of the head of household was found to reduce the likelihood of using fertilizer by approximately one fifth of a percent (-0.0019). For example, the likelihood of a thirty year-old head of household to use fertilizer would be one percent greater than a thirty-five year-old head of household. Models using AGE-squared were estimated to examine possible non-linear relationship, and no significant differences appeared in the model results. 56 The positive signs of the coefficients representing the number of males in a household (MALE) and the number of females in a household (FEMALE) indicate that households growing maize with more male members and more female members are more likely to use fertilizer. This result appears to be robust across studies (Nkonya et al. 1997, Kherallah et al. 2001, Doss and Morris 2001). Interestingly, the coefficients on these variables are not jointly significant in Models 1 and 2: for 1997/98, the number of males in a household significantly affected a household’s use of fertilizer, while the number of females was not found to be significant; and for 1998/99 and 1999/2000, the number of females significantly impacted a household’s use of fertilizer while the number of males did not significantly impact the use of fertilizer by the household. For the cross-year models, Models 3 and 4, these variables were both found to be significant in a household’s use of fertilizer. The positive coefficient on AREATOTL conforms to our a priori expectations that for these maize-growing households, those cropping more area are more likely to use fertilizer. The large associated z-score on this variable indicates that this variable is statistically significant at any traditional level of significance. Despite its significance in the model, the magnitude of total area cropped on fertilizer use is quite small. Using the data from Model 1, 1997/98, each additional hectare of land a household crops is anticipated to increase the likelihood of fertilizer use by almost three percent (dF/dx of 0.0267). Conforming to our a priori expectations, Model 1 and Model 2 show that ownership of farm equipment and transportation equipment increased the likelihood of fertilizer use by households growing maize. Model 1 indicates that ownership of farm 57 equipment increased a household’s use of fertilizer by almost eight percent in 1999/2000. One of the most significant results suggests that ownership of transportation equipment has a larger impact than ownership of farm equipment on a household’s use of fertilizer. Households owning transportation assets had rates of fertilizer use approximately thirteen percent higher than those not owning these types of assets in the 1999/2000 survey year. Since the questions about household’s ownership of productive assets were not consistent across each of the three survey periods, Models 3 and 4 do not include the ownership of transportation equipment variables (TRANS). Analysis of physical and geographical-level variables The analysis of physical and geographical-level variables refers primarily to Model 1 and Model 3 because these models incorporate the variables PROV, FERT, RAIL, and the ecological zones; analysis of the district-level dummy variables present in Model 2 and Model 4 follows this analysis. Although not as strongly as anticipated, the models support the hypotheses that households growing maize and located in districts with a major fertilizer depot (FERT) are more likely to utilize fertilizer. The coefficient of FERT is positive throughout each model and significant in Model 3 and survey year 1999/2000 in Model 1, this variable was not found to be significant in 1997/98 or in 1998/99 for Model 1. Interpreting the result shown for the 1999/2000 PHS indicates the marginal impact of a fertilizer depot in the household’s district would increase the probability of fertilizer use by about eight percent (0.0808). Perhaps the most important finding relating to the geographical variables is the consistency and significance of the RAIL variable. Conforming to expectations and work by Croppenstedt and Demeke 1996, the level of infrastructure was found to positively 58 affect the use Of fertilizer by households growing maize. The results of Model 1 indicate that households growing maize in districts with higher levels Of infrastructure leads to an increase in the likelihood of fertilizer use by nearly 25 percent (1997/98 RAIL dF/dx of 0.2407; 1998/99 RAIL dF/dx of 0.2324; and 1999/2000 RAIL dF/dx of 0.2306). The effects of the ecological zone variables closely conform to a priori expectations. The negative parameter estimates for Zone 1 and Zone 3 suggest that households growing maize in these regions tend to use fertilizer less often than households in Zone 4, the wettest region of the country. These results are easily reconciled with the data presented in Table 12, which indicated that fertilizer use was consistently lowest in Zone 4. By excluding households that do not grow maize, the probit models focus the analysis on households more likely to use fertilizer since maize is the primary crop receiving fertilizer. The coefficient results for Zone 2 presented an anomaly in the models that is less easily explained. In 1997/98, Model 1 found households in Zone 2 to be less likely to use fertilizer than households in Zone 4; however in 1999/2000 households in Zone 2 were found to be more likely to use fertilizer than in Zone 4. Since it is unlikely that the conditions within this region of the country changed such that fertilizer use became more likely in two years, this interesting result must be explained by changes in fertilizer use within this region that are not identified in the survey. One likely factor in this finding is that government fertilizer distribution may have changed significantly in this region. Government fertilizer distribution is administratively determined and often fluctuates from one area to another from year to year. This region corresponds to areas of Eastern, Central, Southern, and Western provinces. 59 As for the provincial level variables, the results for Model 1 show that in 1997/98, five of the eight provincial dummy variables were found to be significant at a ten percent level of significance or better, in 1998/99 and 1999/2000 seven and four of the dummy variables were found to be significant, respectively. Positive signs indicate fertilizer use to be higher for households in that province than in Eastern province, negative signs indicate lower probability of fertilizer use in that province than in Eastern province. Three provinces exhibited consistent signs across each of the three probit models, Lusaka, Northwestern, and Western provinces each The positive and significant coefficient on Lusaka province (P4) indicates that households growing maize in that - provinCe are more likely to utilize fertilizer than households growing maize in Eastern province in 1997/98. The consistently negative coefficients on Northwestern and Western provinces (P9) indicate that households growing maize in these provinces are less likely to utilize fertilizer than are households in Eastern province (P3). Several provinces exhibited changing trends in fertilizer use when compared to Eastern province in these models. For example, there were negative signs on the coefficients for both Central and Copperbelt provinces in 1997/98 but then positive signs on their coefficients in 1998/99. Since these parameter estimates include all of the potential differences in fertilizer use between provinces that are not otherwise directly accounted for in the model, something else must be accountable for these significant changes in fertilizer use. As in the case of the ecological zones, the likely change may be fertilizer distribution patterns. Table 27 shows the marginal impact of the district-level dummy variables that were significant at the ten percent level for Model 2. Districts in which there was no 60 fertilizer use are dropped from the analysis. The values presented show the relative impact of fertilizer use compared to Chipata district. Only three districts showed greater probability of fertilizer use than Chipata: Mkushi, Chingola, and Mazabuka. 61 503888. 232 e\eo_ .e\em .e\e_ an cosmocEwfi Bone-unv- 8o:% 8 .2. .2... e33 262 24$ .a Bases 2.2a m8? 286 .a eotoaeo $8.8m? 8632.? N229:- eooéea won $3 9.3. 39m 23% ..., 4mm? MEN? .3... :2- moo?- :. 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N .352 .35.... ..5 £33. .3 2...:- 63 Table 27 : Marginal impacts of district-level dummy variables, Model 2 dF/dx a dF/dx a District 1997/98 1998/99 1999/2000 District 1997/98 1998/99 1999/2000 Chibombo -0. 1047 -0.0782 Luwingu -0.2527 Kapiri Mposhi -0. 1074 Mbala -0.1697 -0.21 87 -0.2270 Mkushi 0.3199 0.1898 0.1359 Mpika -0. 1024 Mumbwa -0.2017 -0. 1432 -0.2098 Mporokoso -0.1466 Serenje -0. 1274 -0. 1953 -0.2449 Mpulungu ~0.2048 -0. 1577 Chililabombwe -0. 1338 Mungwi 0.4061 Chingola 0.1410 0.5 167 0.4199 Kabompo -0. 1844 -0.2096 -0.2829 Kalulushi -0. 1460 -0. 1692 Kasempa -0.2090 -0.23 84 -0.2356 Luanshya -0. 1580 -0.1526 Mufumbwe -0.2467 Lufwanyama -0.1 195 -0. 1233 -0. 1697 Mwinilunga -0. 1924 -0. l 834 -0.2654 Masaiti -0. 1416 Solwezi -0.1893 -0.2210 -0.2744 Mpongwe -0. 1783 -0.2 l 84 Zambezi -0.2109 -0.2500 Mufulira -0. 1444 Choma -0. 1220 -0. 1569 -0.0817 Chadiza -0. 1282 -0.1 l 19 Gwembe -0.1319 -0.2454 -0.2259 Chama -0.2216 -0.2773 ltezhi-tezhi -0.2152 -0.2533 -0.27 l 7 Katete -0.2339 -0.2419 -0.2297 Kalomo -0.0977 -0.1 146 -0.1 135 Lundazi -0.1510 -0.1210 -0. 1576 Livingstone -0.1469 -0. 1401 -0. 1714 Mambwe -0.2421 Mazabuka 0.1 104 0. 1638 Nyimba -0.2858 Monze -0.2058 -0.23 32 -0. 1688 Petauke -0.2285 -0.2409 -0.2703 Namwala -0.2188 -0.2482 -0.2668 Chiengi -0. 1946 -0.2294 -0.2620 Siavonga -0.2486 Kawambwa -0. 1433 Sinazongwe -0.2507 -0.2652 Milenge -0.2178 -0.2177 Kaoma -0.1948 -0.2290 -0.2742 Mwense -0. 1636 -0.2443 -0.2840 Mongu -O.2161 -0.2521 -0.2857 Nchelenge -0.2182 Senanga -0.2948 Samfya -0. 1955 Shang'ombo -0.2862 Chongwe -0. 1072 Kafue -0.1106 lsoka -0.1638 -0. 1526 -0.2744 a All districts reported are significant at 10% level, other districts not reported. Notes: results are relative to Chipata district; districts not reported when no fertilizer use in district. 64 Model 3 and Model 4 combine all households from each of the three survey years and analyze them together by incorporating a variable to indicate the year in which the household was surveyed. Both models reinforce the importance of the household-level characteristics in fertilizer use. Each of the household variables was significant at the one percent level in each model. The variable showing the greatest impact on fertilizer use was ownership of farm equipment, increasing the probability of fertilizer use by ten percent (transportation equipment could not be included because of inconsistency in survey questions). The second and third largest impacts were gender of head of household (increasing fertilizer use by seven percent) and total area cropped (each additional hectare of land cropped resulted in increases in fertilizer use of three percent). The ecological zone variables corresponding to Zone 1 and Zone 3 conformed to the previous results and suggested households in these areas were less likely to use fertilizer on maize than households in Zone 4. However, the data do not suggest there to be any difference in household use of fertilizer in Zone 2 compared to Zone 4. The province variable results suggest that households in Lusaka province were more likely to use fertilizer than those in Eastern province while households in Northwestern, Southern, and Western provinces were less likely to use fertilizer than in Eastern province. Fertilizer use in Central, Copperbelt, Luapula, and Northern provinces was not shown to be significantly different than in Eastern province. Table 29 shows the marginal impact of the district-level dummy variables that were significant at the ten percent level for Model 4. The values presented show the relative impact of fertilizer use compared to Chipata district. In this model, only Mkushi and Chingola districts showed greater probability of fertilizer use than Chipata. 65 5:63.033. m_u>o_ .35..— ...\..m .53.. .5 828......w8 82.8.85 22.0.. .. .1. .13.. 58m... .585 E BEBE 8555 8555 E BEE... 288...? 585.85? 585.8... 8.. 85.: 855. 8.588 ...1. 585- 85...? ...1. 885.- 558..- .8858 885 1.... 385 8.55 885 1.... 585 5585 5555.8. .355 1.... 8.... 3.25 53.55 1.... 58... 835 5555.8. .82.- ...1. 285.- 8...? 8383.5. 38.? .. 58..- 88? €8.58... 8:? ...,. 58? 855.? €282.82. 8 885 58.. 55. .5 .8552. E .585 1.... 8.2 885 8.83.3. .585 58.. .585 .2583. 3. 5855 585 8:5 5.88558. 8 £555 85.... 885 28.80. 7. .58.? 1. 8...? 58.? 8.28 8.55 8.5 .885 8.28 8 8.88 38.6... 88.? 1.... 3.55- 8.5? 3.28 8.8.2... 352358.225- 885 1.... 2.5. 885 ...S. 885 ...1. 88... 885 5...... 8:5 1.... ..85 885 885 1.... ..85 3.555 085...... 885 1.... 385. 8855 885 1.... 85.: 885 .8888... 8555 1.... 53.... 3.85 5855 1.... 855 3.85 m..<2m-.. 885 ...1. .85 .585 8855 1.... 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E... m .852 .52.. .5 3.53. ...N 8.5.8 66 Table 29: Marginal impacts of district-level dummy variables, Model 4 (all 3 years) District dF/dx a District dF/dx a Chibombo -0.0543 Chinsali -0.0789 Kapiri Mposhi -0.0581 lsoka -0.2293 Mkushi 0.1671 Kasama -0.0858 Mumbwa -O.1968 Luwingu -0.1936 Serenje -O.2178 Mbala -O.2273 Chililabombwe -0.0900 Mpika -0.073 1 Chingola 0.3081 Mporokoso -0.0893 Kalulushi -O. 1095 Mpulungu -0.1991 Kitwe -O. 1 080 Kabompo -O.2491 Luanshya -O.1 558 Kasempa -0.2410 Lufwanyama -O. 1 543 Mufumbwe -O.2564 Masaiti -0.0798 Mwinilunga -O.2325 Mpongwe -O.1835 Solwezi -0.2469 Mufulira -0.0878 Zambezi -O.2578 Chadiza -O. 1046 Choma -O.1158 Chama -O.25 32 Gwembe -O.2109 Katete -0.2420 Itezhi-tezhi -0.25 80 Lundazi -0.1676 Kalomo -O. 1037 Mambwe -O.25 22 Livingstone -O. 1623 Nyimba -0.2623 Monze -O.2067 Petauke -0.2546 Namwala -O.2544 Chiengi -0.2428 Siavonga -0.2243 Kawambwa -0.0704 Sinazongwe -O.2495 Marisa -0.08 86 Kaoma -O.2473 Milenge -0.2055 Mongu -0.2669 Mwense -O.2534 Senanga -O.2658 Nchelenge -O.2569 Shang'ombo -0.2613 ‘ Samfya -0.1243 Chongwe -0.0836 Kafue -0.0929 a All districts reported are significant at 10% level, other districts not reported. Notes: results are relative to Chipata district; districts not reported when no fertilizer use in district. 67 Putting it all together: an analysis of fertilizer use by hypothetical households Using data from a probit analysis, scenarios can be created to estimate the probability of fertilizer use by households with varying characteristics. Table 30 provides a simulation analysis based on the results of Model 1, 1999/2000. The table is organized into several groups to demonstrate the effects of changes in household traits on the probability of fertilizer use. Traditionally in analyses such as these only one variable is changed while holding all other variables constant. However, this procedure is not apprOpriate here because household characteristics do not necessarily remain constant in reality; i.e. households cropping larger area tend to have larger family sizes and older heads of households. Keeping this observation in mind, all households were divided into three roughly equal groups by total area cropped. From these three groups, median values of total area cropped, age of household head, and number of male and female members were determined and these values are used in the analysis. The first two households (Household A and Household B) represent typical small households located in Eastern province in a district without a fertilizer depot and with low levels of district infrastructure. Each household crops 0.5 hectares but Household A has the characteristics of a male-headed household and Household B represents a female- headed household (the change in the AGE variable indicates that female heads of household are slightly older). The probability of the male-headed household (Household A) using fertilizer is 22 percent and for the female-headed household it is 15 percent. The difference of approximately seven percent represents the effect of gender on the probability of fertilizer use. 68 Households A, C and D represent an analysis of fertilizer use by households of different sizes according to the three household groupings. Household A represents a household cropping an area of 0.5 hectares; Household C represents a larger-sized household cropping 1.25 hectares; and Household D, a significantly larger household, crops 3.5 hectares (in these cases, the larger households have older heads of household and more male and female members than the smaller Household A). There is a 24 percent probability that a household like Household C, which crops over twice the area of Household A, would use fertilizer. Interestingly, the likelihood of the larger household using fertilizer is less than 30 percent despite being over six times larger than Household A (which was 22 percent likely to use fertilizer). While the variable was found to be significant in the economic model, in practice the impact on fertilizer use of increased total cropped area may not be very significant. The difference between Household D and Household E is ownership of assets. Household B represents a large household that owns both farm equipment and transportation equipment. This household is estimated to have increased probabilities of fertilizer use compared to Household D, which does not own these types of assets. Ownership of farming assets and transportation equipment has increased the likelihood of fertilizer use from 30 percent to 52 percent. Households F and G (both having the same characteristics as Household A) show the impact of household location in a district with a fertilizer depot or in a district with higher levels of infrastructure. Household F demonstrates that living in a district with a fertilizer depot has increased the likelihood of fertilizer use by this type of household to 69 about 30 percent. The impact of district infrastructure is much greater: Household G, located in a well-connected district, is estimated to be 46 percent likely to use fertilizer. The effect of living in a different ecological zone and province are explored using Households H, I, and J. Each household exhibits the same characteristics as Household A but Household H is located in a different ecological zone, Household I is located in a different province and therefore by extension a different ecological zone, and Household J is located in another different province. Household H (in Zone 1) is predicted to use fertilizer with a probability of 11 percent, compared to 22 percent for Household A (in Zone 2) the different ecological zone has resulted in a large change in expected fertilizer use. Household I is located in Lusaka province and Zone 1 with a 23 percent probability of fertilizer use. Household J, in a region of Western province considered Zone 3, is not likely to use fertilizer at all (probability of fertilizer use of one percent). 70 53:85.52 20>... 5\5o_ .5\5m <5. .5 350......w8 33.5.8.5. 22.0.. 5 .2. .1... I 5.8 5... 5.55 5.55 5. . 5 5.55 5.8 5.5. ..8 u a... . . . . . . . . . . t... 585..- :8. .5228 . 5 5 5 5 5 5 5 5 5 5585- .1... 555...- 5.5.553 55 5 5 5 5 5 5 5 5 5 5 88.5 555. .5 5.25555 5. 5 5 5 5 5 5 5 5 5 5 555.5- 2. 855.5- 55.55.55.552 8 5 5 5 5 5 5 5 5 5 5 5585 8.55 5.55.52 55 5 . 5 5 5 5 5 5 5 5 58.5 t... 5855 8.553 5. 5 5 5 5 5 5 5 5 5 5 5855 885 5.555.... 55 5 5 . . . . . . . . 5555.5 €55.65. 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Most studies of technology use ignore the effect of price on the use of the new technology; this procedure may be appropriate when using small, geographically homogenous samples. However, since the current study employs a large, nation-wide dataset, the price of fertilizer may fluctuate and affect a household’s use of fertilizer. This chapter will begin with a brief description of the market for fertilizer in Zambia and be followed by analysis of national levels of fertilizer use and prices of fertilizer in Zambia. The concluding section of the chapter presents an econometric model of fertilizer use based on previous analyses but with a modified sample size to incorporate the market price of fertilizer into the model. Brief description of the marketing system in Zambia The government has been involved in fertilizer distribution to small- and medium- holding farming households in Zambia for over a decade. Prior to 1994, the government .forced several lending institutions to increase their lending to smallholder farming households in order to assist purchases of fertilizer inputs by these households (Pletcher 2000). The increased volume of loans this caused strained these institutions until they became insolvent. In 1994 the government tried a new tact and organized the Agricultural Credit Management Programme (ACMP) with the intent of leading the private sector back into the rural credit market. The ACMP provided fertilizer to farmers by offering them credit that did not need to be repaid. The effects of the government actions resulted in a belief by farmers that the government will continually provide fertilizer and subsidize the credit 72 with which to purchase it. The ACMP actually undermined efforts by the private sector to provide more fertilizer (Pletcher 2000). Rather than importing fertilizer itself, government support of fertilizer use by smallholder farmers has focused on purchasing fertilizer for distribution to smallholder farmers from private sector fertilizer distributors. These government policies further exacerbate the dilemma faced by smallholders. Smallholder farmers can purchase fertilizer using their own resources or wait for government credit to purchase fertilizer (FSRP 2002). Purchases of fertilizer Table 31 shows the total amounts of basal and top dressing fertilizer used during the three survey periods. Use is fairly equally distributed between basal and top dressing fertilizers and has increased between each of the three periods. While the quantity of fertilizer purchased with cash vastly outnumbers the quantity of fertilizer purchased with credit, credit purchases have been increasing across the three survey periods from around five percent in 1997/98 to nearly 20 percent of fertilizer purchases in 1999/2000. 73 Table 31: Total basal and top dressing fertilizer use 1997/98 1998/99 1999/2000 Basal fertilizer Cash purchases (kg) 15,275,746 16,913,605 17,624,839 Credit purchases (kg) 890,412 1,802,144 4,422,778 Total kg purchases (kg) 16,166,158 18,715,749 22,047,617 Cash purchases (%) 94.5 90.4 79.9 Credit purchases (%) 5.5 9.6 20.1 Top dressing fertilizer Cash purchases (kg) 15,097,723 17,031,694 16,730,024 Credit purchases (kg) 796,451 1,773,034 3,739,148 Total purchases (kg) 15,894,174 18,804,728 20,469,172 Cash purchases (%) 95.0 90.6 81.7 Credit purchases (%) 5.0 9.4 18.3 Total fertilizer purchased (kg) 32,060,332 37,520,477 42,516,789 Table 32 shows that the vast bulk of fertilizer is purchased in four provinces. Central, Eastern, Northern, and Southern provinces account for over 80 percent of all fertilizer purchased in Zambia. The vast majority of credit purchases are made in Southern province: between 40 percent (1998/99) and 69 percent (1999/2000). These results correspond with previous findings that fertilizer use is higher in these provinces. Table 32: Cash and credit purchases of fertilizer by province (% of total kg) Cash purchases Credit purchases 1997/98 1998/99 1999/2000 1997/98 1998/99 1999/2000 Central 19.2 23.7 18.8 18.0 17.5 8.0 Copperbelt 4.6 4.8 9.9 0.5 3.4 2.4 Eastern 25.8 23.0 31.5 22.4 23.5 12.7 Luapula 2.6 4.2 2.0 0.2 1.6 1.2 Lusaka 3.3 2.5 3.7 1.1 0.8 -- Northern 11.0 11.7 10.1 4.7 11.1 7.0 Northwestern 0.6 1.1 0.5 -- 0.7 0.2 Southern 32.2 28.3 22.6 47.6 40.3 68.6 Western 0.8 0.7 0.7 5.5 1.2 -- Total 100.0 100.0 100.0 100.0 100.0 100.0 74 The distribution of fertilizer purchases by districts is presented in Table 33. The trend shown in this data indicates that fertilizer is widely sold on a cash basis but concentrated in a few districts. In all but one case (Siavonga in 1999/2000) credit sales of fertilizer occur in districts in which there were also cash purchases of fertilizer. Table 33: Cash and credit purchases of fertilizer by district (% of total kg) Cash purchases Credit purchases District 1997/98 1998/99 1999/2000 1997/98 1998/99 1999/2000 Chibombo 6.3 11.3 6.1 1.4 13.3 5.0 Kabwe Urban 0.5 0.7 0.5 1.4 -- 0.1 Kapiri Mposhi 4.0 4.3 2.9 7.5 0.5 1.5 Mkushi 4.3 3.7 4.7 0.8 -- 0.2 Mumbwa 2.1 1.8 3.4 -- 3.7 1.4 Serenje 2.0 1.8 1.2 6.9 -- -- Chililabombwe 0.4 0.3 0.7 -- -- -- Chingola 0.5 0.6 1.3 -- -- -- Kalulushi 0.2 0.3 0.8 -- 0.3 0.3 Kitwe 0.0 0.1 0.2 -- -- -- Luanshya 0.8 0.6 0.7 -- 0.6 0.1 Lufwanyama 1.4 0.7 3 .6 -- 2.5 ~- Masaiti 0.7 1.2 2.1 -- -- 1.2 Mpongwe 0.3 0.5 0.4 0.5 -- 0.8 Mufulira 0.3 0.4 0.2 -- -- -- Chadiza 2.4 3.1 3.1 4.3 0.1 2.0 Chama -- 0.3 0.2 -- -- 1.0 Chipata 15.2 12.6 16.6 13.2 8.4 3.6 Katete 0.5 1.1 3.4 -- 5.7 0.2 Lundazi 4.3 3.8 4.2 0.8 3.3 1.8 Mambwe -- 0.2 0.0 -- 0.8 -- Nyimba -- -- 0.3 -- -- -- Petauke 3.4 2.0 3.7 4.0 5.1 4.1 Chiengi 0.1 0.0 0.0 0.0 -- -- Kawambwa 0.9 1.9 0.5 0.0 -- 0.5 Mansa 0.4 1.2 0.8 0.0 1.6 0.5 Milenge 0.2 0.1 0.3 0.0 -- -- Mwense 0.5 0.3 0.2 0.0 -- -- Nchelenge 0.1 -- -- 0.0 -- -- Samfya 0.5 0.6 0.2 0.2 -- 0.2 Chongwe 2.8 1.8 2.3 0.6 0.5 —— Kafue 0.4 0.7 1.4 0.5 0.3 -- Luangwa -- -- -- -- -- -- 75 Table 33 (con’t) Chilubi 0.4 0.1 0.0 -- -- -- Chinsali 1.1 0.7 1.1 -- -- 0.1 lsoka 0.6 0.9 0.2 -- -- 0.5 Kaputa -- -- -- -- -- -- Kasama 1.6 1.7 1.9 -- -- 0.5 Luwingu 0.3 0.7 0.1 -- -- -- Mbala 1.4 1.7 1.5 1.4 0.9 1.7 Mpika 0.8 2.1 2.5 3.1 4.9 1.6 Mporokoso 0.9 0.8 0.4 -- 0.6 -- Mpulungu 0.1 0.2 0.3 -- 0.4 0.2 Mungwi 1.3 1.7 1.1 0.2 2.2 -- Nakonde 2.5 0.8 1.0 -- 2.0 2.3 Chavuma -- -- -- -- -- -- Kabompo 0.2 0. 1 0. 1 -- -- -- Kasempa 0.0 0.1 0.0 -- -- 0.2 Mufumbwe -- 0.3 0.0 -- -- -- Mwinilunga 0.1 0.3 0.1 -- 0.7 -- Solwezi 0.2 0.3 0.3 -- -- -- Zambezi 0.0 0.0 0.0 -- -- -- Choma 4.4 5.1 10.3 3.7 4.7 10.4 Gwembe 0. 1 0.0 0.8 -- -- -- Itezhi-tezhi 0.0 0.0 0.0 -- -- -- Kalomo 4.3 3.2 4.4 18.0 29.0 14.3 Kazungula -- -- -- -- -- -- Livingstone 0.0 0.3 0. l -- -- -- Mazabuka 22.5 18.2 4.3 25.9 0.4 30.1 Monze 0.6 0.9 1.4 -- -- 10.5 Namwala 0.3 0.5 1.2 -- 6.2 0.6 Siavonga -- -- -- -- -- 2.0 Sinazongwe -- 0. 1 0.1 -- -- 0.6 Kalabo -- -- -- -- -- ~- Kaoma 0.7 0.7 0.6 5.5 0.4 -- Lukulu -- -- -- -- -- -- Mongu 0.1 0.1 0.1 -- 0.8 -- Senanga -- -- -- -- -- -- Sesheke -- -- -- -- -- ~- Shang'ombo -- -- -- -- -- -- Note: 0.0 indicates less than 0.05 percent of all fertilizer purchased in that district. Note: - indicates no fertilizer distributed in that district. Table 34 lists the five districts in which the largest total quantity of fertilizer was purchased by cash and credit purchases. In each of the three years, these five districts had the largest amounts of total fertilizer purchased. Purchases of fertilizer in these five districts alone accounts for between 53 and 46 percent of all fertilizer purchased during the survey periods. Table 34: Cash and credit purchases of fertilizer by top five districts (”/0 of total kg) District (Province) 1997/98 1998/99 1999/2000 Chibombo (Central) 6.0 11.5 5.9 Chipata (Eastern) 15.1 12.2 14.1 Choma (Southern) 4.4 5.1 10.3 Kalomo (Southern) 5.0 5.6 6.3 Mazabuka (Southern) 22.7 16.5 9.2 Total 53.2 50.9 45.9 These finding suggest that fertilizer is not distributed evenly. Since the data do not provide information about fertilizer distribution nor about ending stocks of fertilizer, a definitive answer cannot be given. Fertilizer prices in Zambia In-kind payments involve trading future maize production for fertilizer, and is therefore a less reliable value of the cost of the purchased fertilizer than is the price paid based on actual cash purchases. Therefore, analysis of prices will focus exclusively on cash prices paid for fertilizer. The price of fertilizer varied across the three periods of the surveys, Table 35 shows that the inflation-adjusted price actually decreased across the three years. This table also shows that the price varied between districts with fertilizer depots and those without, the price being lower on average in districts with fertilizer depots. The price for fertilizer also tended to be lower on average in districts with higher levels of infrastructure. 77 Table 35: Cash prices for basal and top dressing fertilizer (ZK/kg) 1997/98 1998/99 1999/2000 Basal fertilizer 846 763 720 Fertilizer depot in district“ No 890 791 737 Yes 819 740 706 Well-connected district" No 906 802 742 Yes 818 742 705 Top dressing fertilizer 859 773 738 Fertilizer depot in district" No 914 804 763 Yes 826 750 718 Well-connected district" No 929 815 763 Yes 826 751 722 Note: all prices in 2000 ZK. * indicates differences are significant at 1% level of significance. These averages hide the great extent of the variability of prices of both basal and top dressing fertilizer in Zambia. Reviewing Table 36 and the price histograms that follow (Figure 5 through Figure 10) the data indicate that households that purchased basal or top dressing fertilizer using cash reportedly paid a wide range of prices. On each graph, two vertical lines represent estimates of the price of basal or top dressing fertilizer for that year. For example, the base market price for basal fertilizer was around 600-640 ZK/kg in 1997/98. Table 36 suggests that more than seventy percent of households that paid cash for basal fertilizer in 1997/98 paid less than 600 Kwacha per kilogram of basal fertilizer. The histograms elaborate this point graphically. 78 Table 36: Percentiles of cash price paid for basal and top dressing fertilizer (ZK/kg) Percentile 1997/98 1998/99 1 999/ 00 Basal Top Basal Top Basal Top Dressing Dressing Dressing 10 440 420 520 527 600 600 20 480 480 560 560 620 640 30 500 500 560 600 660 700 40 520 520 600 600 700 720 50 540 560 600 620 720 760 60 560 560 640 660 760 780 70 570 600 700 700 780 800 80 600 640 720 720 800 840 90 700 700 760 770 860 900 Explaining this range of prices, especially the finding that most households pay far less than market price for the fertilizer they use poses a challenge. Econometric tests using geographical-level variables do not explain the price a household paid for fertilizer. The following ordinary least squares analysis were performed: Unit price of basal fertilizer = f(PROV, FERT, RAIL) (Model 5) Unit price of basal fertilizer = f(DIST) (Model 6) The results of each of these models, for each type of fertilizer, for each of the three survey periods indicated that the price of fertilizer using these dummy variables did not significantly explain this distribution of prices. The value of the adjusted R—squared was less than 0.1 in all cases. Therefore, this reported price variation does not occur between districts (i.e. higher prices in some districts but lower prices in others), but rather, the variation of fertilizer prices occurs within the districts themselves. Table 37: Adjusted R-squared of Model 5 and Model 6 1997/98 1998/99 1999/2000 Model 5 0.0473 0.0514 0.0457 Model 6 0.0597 0.0816 0.0687 79 Since the data does not directly indicate reasons for this distribution of fertilizer prices, there must be some other reason. The data includes cash purchases of fertilizer; therefore, households paying for their fertilizer using subsidized credit should not be included among these households and therefore are not reasons for the low reported prices paid. Since 1997, government has been purchasing fertilizer from fertilizer traders to distribute to cooperatives and finally to households on credit terms. However, some fertilizer reaches households generous cash discounts from traders not intending to repay the government and its credit scheme (FSRP 2002). 80 Figure 5: Histogram of price of basal fertilizer with range of market price estimates, 1997/1998 .25Jé ‘ ‘ l i iv —I U! -J__._4L___l _| Percent of households O U" _.l. O ;. 400 560 I 600 760 Y 800 ZK/Kg for basal fertilizer (a) o- O Note: data in real values, market price estimate includes transport costs. Source: PHS survey data and Omnia. Figure 6: Histogram of price of top dressing fertilizer with range of market price estimates, 1997/1998 .25 Percent Of hOUSEI'IOIdS 300 400 r r 500 if 600 700 800 ZK/Kg for top dressing fertilizer Note: data in real values, market price estimate includes transport costs. Source: PHS survey data and Omnia. 81 Figure 7: Histogram of price of basal fertilizer with range of market price estimates, 1998/1999 Percent Of households l l . r l 457) 550 650 750 857) 950 ZK/Kg for basal fertilizer Note: data in real values, market price estimate includes transport costs. Source: PHS survey data and Omnia. Figure 8: Histogram of price of top dressing fertilizer with range of market price estimates, 1998/1999 .25 Percent Of households hi- T T l I 450 550 650 750 850 T 950 ZK/Kg for top dressing fertilizer Note: data in real values, market price estimate includes transport costs. Source: PHS survey data and Omnia. 82 Figure 9: Histogram of price of basal fertilizer with range of market price estimates, 1999/2000 Percent Of households 500 600 I 700 800 I 900 11000 ZKIKg for basal fertilizer Note: data in real values, market price estimate includes transport costs. Source: PHS survey data and Omnia. Figure 10: Histogram of price of top dressing fertilizer with range of market price estimates, 1999/2000 .25 -l i a 21 O c l g i 3 .151 o l c l ‘5 ! :5 ~17 0 . e . d) l .05 n. 0 1 l V l T T i fl 1 l T f 500 600 700 800 900 1000 ZK/Kg for top dressing fertilizer Note: data in real values, market price estimate includes transport costs. Source: PHS survey data and Omnia. 83 Econometric analysis of fertilizer use on maize incorporating market prices While a complete profitability analysis is beyond the scope of the current paper, using information about the price paid for fertilizer may indicate household characteristics that significantly affect a household’s use of fertilizer and purchase it at near market prices. The analysis intends to identify characteristics that affect the use of fertilizer by households that pay the full market cost of the fertilizer. This is accomplished by a probit analysis of household use of fertilizer incorporating market prices into the model. The probit model used in this chapter parallel those used previously. The samples are modified in order to include proxies for fertilizer prices. As shown, the price of fertilizer varied with most households paying less than full market price. Therefore, households that paid in the top thirty percent of cash prices are considered to be the only households using fertilizer at close to market price. While measuring the use of fertilizer by households that purchased it near market prices does not itself measure profitability per se, this inquiry will provide an analysis of households using fertilizer when they face full market prices. Model 7 will take the same form as Model 1, but fertilizer users are only those households paying the top 30 percent as nearest to full market cost. USEl = f(HHvar, FERT, RAIL, AGROZONE, PROV) (Model 7) The results of Model 7 presented in Table 38 diverge from those in Table 25 (page 62) of the original Model 1 that includes all households. Whereas previous analysis suggested significance of many of the independent variables in predicting household use of fertilizer, the current results suggest otherwise. For households paying near market prices for their fertilizer, only two variables were consistently significant. 84 Household ownership of transportation equipment (TRANS) and higher levels of district infrastructure (RAIL) were both significant across all three surveys and contributed between two to four percent to a household’s use of fertilizer. No other household or geographical variable was significant across each of the survey periods. A surprising result of the current analysis relates to the changing sign of the coefficient of total area planted by the household (AREATOTL). The positive coefficient in 1997/98 indicates that households cropping larger areas of maize are more likely to use fertilizer than smaller ones. This finding parallels earlier results. However, despite being significant at the one percent level, the impact is practically negligible: each additional hectare of cropped maize area is predicted to increase the probability of fertilizer use by less than half of a percent (dF/dx of 0.0045). Model 1 indicated total area cropped to increase fertilizer use by over two percent for each additional hectare planted (Table 25). The negative coefficient of total area cropped for 1999/2000 suggests that the relationship between cropped area and fertilizer use has reversed itself. The magnitude of this impact was also not significant however; each additional hectare of cropped maize in 1999/2000 decreased the probability of fertilizer use by half of a percent (dF/dx of - 0.0049). The reversal of this relationship suggests that households cropping smaller areas are more likely to use fertilizer at near market prices; households cropping smaller areas would require less fertilizer and may therefore be more able to purchase it at market prices. This new model (Model 7) supports the importance of ownership of transportation equipment and level of district infrastructure in influencing fertilizer use found in 85 previous models. 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Chapter 7 showed that households purchasing fertilizer with cash greatly outnumber the households purchasing fertilizer on credit, so omission of credit payments should not cause problems either. Model used When analyses such as this is performed, the dependent variable is traditionally intensity of fertilizer use. This paper deviates from the norm and uses total quantity of fertilizer as the dependent variable. This change was necessary because, as previously described, the data does not provide as accurate information regarding intensity of fertilizer use as would be desired. The econometric model utilized in this chapter will be an ordinary least squares estimation. The equation to be evaluated is: Quantity basal fertilizer used = f(HHvar, GEOvar, cash price paid) (Model 8) An additional equation will be evaluated; Model 9 will incorporate the same format as Model 8 but will utilize only households paying in the top 30% of all cash purchases. This second analysis will provide additional insights similar to the probit models utilizing similar decision rules to analyze quantity of fertilizer used by households paying near market prices. 88 Reviewing the models to be used, all of the independent variables have been described, with the exception of cash price of basal fertilizer. The cash price paid for basal fertilizer is the Zambian Kwacha price paid per kilogram of fertilizer purchased by the household. The relationship between this variable and the dependent variable is expected to follow standard economic theory and have a negative coefficient indicating that as the price of fertilizer increases the quantity purchased decreases. Analysis of results The results of the OLS regressions are shown in Table 39 and Table 40. In survey periods 1997/98, 1998/99, and 1999/2000, Model 8 predicted around 39, 35 and 42 percent of the variability of total fertilizer consumption as indicated by the measures of adjusted R-squared for the three survey years. The comparable values for Model 9 were 54, 47, and 37 percent. For Model 8, none of the independent variables was significant in all three of the survey periods. In 1997/98, each additional hectare of land a household cropped resulted in an additional 50 kg of fertilizer on average. However, the variables with the largest effect on the quantity of fertilizer a household used were the ecological zone variables and provincial-level variables. Households in Zone 1 used approximately 260 kg of fertilizer than households in Zone 4. Households in Central and Copperbelt provinces used 107 and 149 kg more fertilizer than those in Eastern province on average, while households in Lusaka and Southern provinces used 180 kg less than households in Eastern province on average. The regression results for Model 9 suggested that the number of males in the household had a consistently significant impact on the quantity of fertilizer a household 89 used. Each additional male household member increased the total quantity of fertilizer used by between 9 and 15 kg on average. The only other independent variable that was significant across each of the three surveys was total area cropped. For each additional hectare of land a household cropped, use of fertilizer increased by between 29 and 41 kg on average. The coefficients on the variable representing the price of basal fertilizer were consistently negative in Model 9, but not significantly different from zero. The negative relationship follows economic theory that suggests that at higher prices, less fertilizer would be purchased and used. In Model 8 however, the price of basal fertilizer had a positive coefficient in 1999/2000 that was significant at the one percent level of significance. This surprising result suggests that more fertilizer was purchased at higher prices than at lower prices during this survey period. These results are plausible in light of the wide distribution of fertilize prices owning to subsidized government distribution programs. 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The findings are particularly relevant from an empirical standpoint because the multi-year data has shown that some results are not consistent across time and surveys. Main findings This thesis has addressed the following areas of research. First, it determined household characteristics that significantly impact the use of fertilizer by small- and medium-sized farming households in Zambia. The number of family members and household ownership of assets such as plows, harrows, and transportation equipment were found to impact the use of fertilizer. Two other characteristics were found to be even more significant. The gender of the head of household and total area cropped by the household both significantly affected household use of fertilizer. Second, this paper determined how the physical and geographic characteristics of household location affect its use of fertilizer. Among the more significant factors was the level of infrastructure within the district. Location near a fertilizer depot was found to be significant as well. Households living in dryer areas (but still well-suited for crop production) tended to grow more maize and therefore use fertilizer more than in the regions of the country with higher levels of precipitation and relatively poor soils. The third, and most significant, contribution of this paper was to econometrically test how the various household and geographic characteristics interact and influence a household’s use of fertilizer. A series of probit models determined that several of the 93 characteristics previously assumed in this case to impact the use of fertilizer did not enter significantly into the models. Factors that were not as significant as anticipated included household proximity to a fertilizer distribution center and ownership of farm equipment. The model did verify the importance of other variables impacting a household’s use of fertilizer. Total area cropped was significantly related to household use of fertilizer although the magnitude of this relationship was quite small. The variables resulting in the most significant impact on fertilizer use were found to be ownership of transportation assets and the level of transportation infrastructure within the district. Households located in districts with higher levels of infrastructure were over twenty percent more likely to use fertilizer than other households, regardless of the size of the household’s cropped area and level of assets, even after controlling for other geographic factors such as ecological zone and depots for wholesale distribution of fertilizer. The price of fertilizer was shown to vary greatly, with most households paying less than full market price for the fertilizer they used. A test incorporating a modified sample of households using fertilizer at near market prices was performed to account for this situation. Previous findings were refined after restricting the sample to households that purchased fertilizer near market prices. These additional tests corroborated some of the previous findings but at the same time contradicted others. Ownership of transportation equipment and household location in a district with higher levels of infrastructure remained significant. The effect of total area cropped on household use of fertilizer was questionable after incorporating this additional model that adjusted for full market fertilizer purchases. 94 Analyzing overall quantities of fertilizer used by households represented the fourth area of study in this paper. Not surprisingly, a significant factor influencing the quantity of fertilizer a household uses was found to be total area cropped. The other factors that significantly impacted the quantity of fertilizer a household used were ecological zone variables and provincial location variables. The household characteristics such as gender of head of household, age of head of household, and ownership of productive assets, did not significantly enter into these equations with any consistency. Profitability of fertilizer use on maize The limitations of the current study and data prevent a full-scale profitability analysis of fertilizer use. An analysis of the profitability of specific crops themselves cannot be provided. While the discussion has centered on the quantity of fertilizer application, factors related to fertilizer application, and yield benefits of fertilizer application, these findings do not provide definitive indications of the profitability of fertilizer use in Zambia. A full profitability analysis of the use of fertilizer would require a much broader understanding of households’ costs and sales of production as well as better data related to yields and response rates to fertilizer. The work by Benson et a1. 1997 in Malawi and FSRP 2001 in Zambia provides good references towards better understanding the potential for fertilizer profitability in this region. The findings made to the Government of Malawi by the Maize Productivity Task Force (Benson et al. 1997) indicated that for some households in 1997, the most profitable use of fertilizer was not to use it. After conducting nationwide tests with 95 selected farmers from across the country, fertilizer use was found to be beneficial only in some regions, and then at different rates of application than recommended by the government, and not profitable in others. FSRP 2001 conducted trials of fertilizer application in various regions of Zambia using traditional farmer techniques and found that fertilizer use applied to maize can be profitable given the proper conditions. The risk of varying response rates represented a serious problem to fertilizer profitability in this study. Unfavorable weather, poor timing of fertilizer application, overall soil fertility, and use of other herbicides or weeding were cited as significant factors affecting the variability of maize yields. Other reasons fertilizer use on maize may be unprofitable include inappropriate application recommendations, lack of availability of improved seeds, inconsistent farmer management practices, and lack of access to credit (F SRP 2002). Implications for policy The current study has perhaps raised more questions than it has answered: Where should fertilizer use be promoted? Would it be better to promote proper intensity of fertilizer use by households currently using fertilizer or to promote increasing the use of fertilizer by households not currently using it? What can be done to increase fertilizer use where it is suitable? The first two questions cannot be answered here. Further analysis and fertilizer usage trials such as those conducted by Benson et al. 1997 in Malawi and FSRP 2001 in Zambia can provide insights to these questions. The trends shown in crops grown by ecological zone, as well as varying levels of fertilizer use across the country, demonstrate 96 that many farming households may already know the limitations to fertilizer use in some areas. The current paper has addressed the third question. Female heads of household have been shown to use fertilizer less than male-headed households. However, questions remain whether this finding is the result of their small household size and cropped area, or due to biases to fertilizer access due to their gender. Several other characteristics, ownership of farming assets and total area cropped, were shown to positively affect a households’ use of fertilizer. However, the magnitude of the impact of these characteristics on household use of fertilizer was significantly less than anticipated. The most significant and robust findings across each of the models, even those including use of fertilizer at full market prices, were the importance of ownership of transportation assets and the levels of infrastructure in the district. Ownership of transportation equipment was estimated to increase the likelihood of a household using fertilizer by over ten percent. Households located in districts with higher levels of transportation infrastructure were found to be over 20 percent more likely to use fertilizer than households in other districts. The policy implications for government seem straightforward. Poor transportation infrastructure, at this point in time, appears to be a main constraint to increased use of fertilizer by households in Zambia. Over time the factors acting to constrain household use of fertilizer will change and future analysis should be conducted to identify these new constraints to fertilizer use as they develop. 97 APPENDIX QUESTIONS ASKED ON THE PHS SURVEYS The Post Harvest Survey is an annual survey conducted jointly by the Zambian Central Statistical Office and Ministry of Agriculture, Forestry, and Fisheries. Three years of the surveys provided the data used in this thesis. This chapter provides documentation regarding the questions that were asked on the PHS to generate the data used in the current paper. Dependent variable USEl: Household uses fertilizer Q: Did you use any basal dressing fertilizers during the 1997/98 agricultural season? Q: Did you use any top dressing fertilizers during the 1997/98 agricultural season? Independent variables GENDER: Gender of head of household Q: Sex of head of household. AGE: Age of head of household Q: Age of head of household. MALE: Number of males in household Q: Household population of males. FEMALE: Number of females in household Q: Household population of females. AREATOTL: Total area cropped Q: What was the total area under crops during the 1997/98 agricultural season? F ARMEQ: Ownership of farm equipment Q: Did you are any member of the household own any plough(s) during the 1997/98 agricultural season? Q: Did you or any member of the household own any harrow(s) during the 1997/98 agricultural season? 98 TRANS: Ownership of transportation equipment Q: Did you or any member of the household own any transport equipment during the 1997/98 agricultural season? For PHS years 1997/98 and 1998/99 transportation equipment defined as ox-carts and bicycles. For PHS year 1999/2000 transportation equipment defined as ox-carts. Other variables Quantity of fertilizer used Q: How much basal fertilizers did you buy/barter into your possession for the 1997/98 agricultural season? Q: How much top dressing fertilizers did you buy/barter into your possession for the 1997/98 agricultural season? Price paid for fertilizer Q: How much was spent, in cash/kind, on the purchase of the basal fertilizers? Q: How much was spent, in cash/kind, on the purchase of the top dressing fertilizers? Yield of maize Q: How many 90 kg bags of maize did you produce? Q: What was the total area planted to maize for grain during the 1997/98 agricultural season? 99 REFERENCES Adesina, Akinwumi A. and Jojo Baidu-Forson (1995). “Fanners’ Perceptions and Adoption of New Agricultural Technology: Evidence from Analysis in Burkina F aso and Guinea, West Africa”, Agricultural Economics. v. 13: 1-9. Adesina, Akinwumi A. and Moses M. Zinnah (1993). “Technology Characteristics, F armers' Perceptions and Adoption Decisions: A Tobit Model Application in Sierra Leone”, Agricultural Economics. v. 9: 297-31 1. Benson, Todd, J .D.T. Kumwenda, K.M. Chavula, A.C. Conroy, A. Gomez, R.B. Jones, E.E. Kanyenda, S.K. Mughogho and B.J. Sizilande (1997). "The 1995/96 Fertilizer Verification Trial - Malawi: Economic Analysis of Results for Policy Discussion". Ministry of Agriculture and Livestock Development, Malawi. Croppenstedt, Andre and Mulat Demeke (1996). “Determinants of Adoption and Levels of Demand for Fertilizer for Cereal Growing Farmers in Ethiopia”, Centre for the Study of African Economies Working Paper Series. v. 96 (n. 3). Demeke, Mulat, Valerie Kelly, T.S. Jayne, Ali Said, J .C. Le Vallee and H. Chen (1998). "Agricultural Market Performance and Determinants of Fertilizer Use in Ethiopia". Grain Market Research Project, Addis Ababa. Doss, Cheryl R. and Michael L. Morris (2001). “How Does Gender Affect the Adoption of Agricultural Innovations? The Case of Improved Maize Technology in Ghana”, Agricultural Economics. v. 25: 27-39. Feder, Gershon, Richard E. Just and David Zilberman (1985). “Adoption of Agricultural Innovations in Developing Countries: A Survey”, Economic Development and Cultural Change. v. 33: 255-98. FSRP (2001). "Fertilizer Profitability in Maize and Cotton in Zambia (Draft)". Food Security Research Project, Lusaka, Zambia. FSRP (2002). “Policy Options for Improving the Performance of the Fertilizer Marketing System in Zambia”, Food Security Research Project, Lusaka, Zambia. (n. 4). Ghadim, Amir K. Abadi and David J. Pannell (1999). “A Conceptual Framework of Adoption of an Agricultural Innovation”, Agricultural Economics. v. 21: 145-54. Green, D.A.G. and K.H. Ng'ong'ola (1993). “Factors Affecting Fertilizer Adoption in Less Developed Countries: An Application of Multivariate Logistic Analysis in Malawi”, Journal of Agricultural Economics. v. 44: 99-109. Green, William H. (1993) Econometric Analysis. New York, Macmillan Publishing Company. 100 Greenland, DJ. and H. Nabhan. (2001) Soil Fertility Management in Support of Food Security in Sub-Saharan Africa. Rome, Food and Agriculture Organization of the United Nations. Hiebert, Dean (1974). “Risk, Learning and the Adoption of Fertilizer Responsive Seed Varieties”, American Journal of A gricultural Economics. v. 56: 764-68. Kaliba, Aloyce R.M., Hugo Verkuijl and Wilfred Mwangi (2000). “Factors Affecting Adoption of Irnproed Maize Seeds and Use of Inorganic Fertilizer for Maize Production in the Intermediate and Lowland Zones of Tanzania”, Journal of Agricultural and Applied Economics. v. 32 (n. 1): 35-47. Kennedy, Peter. (1998) A Guide to Economectics. Cambridge, MA, MIT Press. % Khanna, Madhu (2001). “Sequential Adoption of Site-Specific Technologies and Its Implications for Nitrogen Productivity: A Double Selectivity Model”, American . Journal of Agricultural Economics. v. 83 (n. I): 35-51. g _. Kherallah, Mylene, Nicholas Minot, Richard Kachule, Bio Goura Soule and Philippe Berry. (2001) Impact of Agricultural Market Reforms on Smallholder Farmers in Benin and MJalawi. International Food Policy Research Institute. Megill, David J. (2000). "Implications of Sample Design for Post-Harvest Survey on Analysis of Survey Data". Sampling Consultant, Food Security Research Project, Lusaka, Zambia. Negatu, W. and A. Parikh (1999). “The Impact of Perception and Other Factors on the Adoption of Agricultural Technology in the Moret and Jim Woreda (District) of Ethiopia”, Agricultural Economics. v. 21: 205-16. Nkonya, Ephrarn, Ted Schroeder and David Norman (1997). “Factors Affecting Adoption of Improved Maize Seed and Fertiliser in Norther Tanzania”, Journal of Agricultural Economics. v. 48 (n. 1): 1-12. Pletcher, James (2000). “The Politics of Liberalizing Zambia's Maize Markets”, World Development. v. 28 (n. 1): 129-142. ‘ Rashid, Abdur and Mohamed Zejjari (1998). "Crop and Food Supply Assessment Mission to Zambia". FAO/WFP. Rauniyar, Ganesh P. and Frank M. Goode (1992). “Technology Adoption on Small Farms”, World Development. v. 20 (n. 2): 275-282. Sain, Gustavo and Julio Martinez (1999). “Adoption and Use of Improved Maize by Small-Scale Farmers in Southeast Guatemala”, CIMMYT Economics Paper. v. 99- 04. 101 Sanchez, Pedro A., Keith D. Shepherd, Meredith J. Soule, Frank M. Place, Roland J. Buresh, Anne-Marie N. Izac, A. Uzon Mokwunye, Fred R. Kwesiga, Cyrus G. Ndiritu and Paul L. Woomer (1997). Soil Fertility Replenishment in Africa: An Investment in Natural Resouce Capital. Replenishing Soil Fertility in Africa. Madison, WI, Soil Science Society of America: 1-46. Scoones, Ian and Camilla Toulmin (1999). “Soil Nutrient Budgets and Balances: What Use for Policy?”, Managing Africa 's Soils. v. 6. Shakya, RB. and J .C. Flinn (1985). “Adoption of Modern Varieties and Fertilizer Use on Rice in the Eastern Tarai of Nepal”, Journal of Agricultural Economics. v. 36: 409-19. Shampine, Allan (1998). “Compensating for Information Extemalities in Technology Diffusion Models”, American Journal of Agricultural Economics. v. 80 (n. 2): 337-46. StataCorp. (1999) Stata Statistich Software: Release 6.0 Reference Manual. College Station, Texas, Stata Press. Wooldridge, Jeffrey M. (2000) Introductory Econometrics: A Modern Approach. United States, South-Westem College Publishing. Yanggen, David, Valerie Kelly, Thomas Reardon and Anwar Naseem (1998). “Incentives for Fertilizer Use in Sub-Saharan Afiica: A Review of Empirical Evidence on Fertilizer Response and Profitability”, MSU International Development Working Papers. v. 70. 102