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Trends in Total Factor Producitivity of Agriculture
1. ETHIOPIAN DEVELOPMENT RESEARCH INSTITUTE Trends in Total Factor Productivity of Agriculture : A Growth Accounting and Econometric Approaches Fantu Nisrane Bachewe International Food Policy Research Institute (IFPRI) (Ethiopia Strategy Support Program, ESSP-II) 9th International Conference on the Ethiopian Economy, Ethiopian Economic Association (EEA) Addis Ababa July 21-23 2011 The views expressed in this paper are those of the author and do not represent the official position of his institution.
2. Presentation Outline Introduction Objectives and a brief description of proposed study Models Data and scenarios Results and observations Summary and key findings.
9. Enumeration area data implied significant gains in TFP,This work is intended to investigate patterns of TFP during 2004/5-2009/10.
10. 3. Model: growth accounting. The rate of growth of TFP is the difference between the rates of growth of real product and real factor input, Let agricultural production is represented by: Differentiating with respect to time and rearranging, Including several criticisms results in a modified model:
11. 3. Model: Cobb-Douglas and SFA. Empirical Cobb-Douglas production function used: Stochastic Frontier Analysis: Assumes that the error term of production function is composed of idiosyncratic and inefficiency components: Inefficiency is assumed to be a function of zone level characteristics
28. A cumulative TFP level of 1.24 by 2009/10 from 2004/5Values of TFP changes and levels close under 3-factor and 5-factor specifications, Under 5-factor specification average annual change in TFP was 4 percent and level of TFP of 1.212 in 2009/10 from 1 in 2004/5. Modified model had an average annual decline in TFP of 2.1 percent and decline in cumulative TFP from 2004/5 normalized to 1 to 0.895, Large deviation due to reduction in yield due to water stress, without which annual change in TFP averaged 1.4 percent and level of TFP grew to 1.07 in 2009/10 from its normalized level of 1 in 2004/5.
32. 5. Synthesis of Results: Cobb-Douglas production Function Most important result of the C-D production function is: Averaging over the years TFP grew annually at 5 percent, Estimated Coefficients also imply that: Output growth largely derive from growth in labor & cultivated area Fertilizer, improved seeds, and irrigated agricultural have no significant contribution as was found in Bachewe et. al. (2011), Surprisingly livestock contributed insignificantly, Region dummies imply zones in Amhara and Oromia are similar with those in Tigray while SNNPR zones have superior production function,
35. Decline in proportion of credit users National average level of efficiency was 0.72, and it grew at an average annual rate of 1.2 percent, Flexible specifications have similar implications.
37. 6. Summary and key findings. Half of increase in production during 2004/5-2009/10 attained at an extensive margin, Remaining increase resulted from intensive use of inputs, growth in TFP, and increased efficiency. Although increase in output largely resulted from increased use of traditional inputs, there was a fair amount of intensification, with growth in Tigray, Amhara, Oromia, and SNNPR averaging 4, 2.6, 2.1, and 3 for labor; -2, 3, 1, and 2.5 draught livestock 6, 26, 5, and 11 for fertilizer -27, 30, 19, and 20 for pesticides, and Cultivated area at 8.6, 5, 4, and 6.3 percents. Growth in TFP varied across models, ranging from 1.4 to 5 percent. Annual growth in efficiency averaged 1.2 percent.
Editor's Notes
Total agricultural output grew from 14.2 million metric tons in 2004/5 to 20.2 in 2008/9, averaging 17.4 million metric tons during the period. This is a 42.4 percent growth between the two periods or an average annual growth rate of 9.3 percent. All numbers refer to the meher season, unless otherwise stated. Total cultivated area, which averaged 11.1 million hectares, grew from 10.1 in 2004/5 to 12.1 million hectares in 2008/9, which is a total growth of 20 percent or an average annual growth rate of 4.7 percent. Growth in total agricultural production was largely driven by expansion in grains production. The data indicate that about half of the increase in total agricultural production was attained at an extensive margin that resulted from bringing more land into cultivation. However, this extensive margin is less pronounced among grains and cereals with an average ratio of growth in cultivated area to growth in grains and cereals productions (percentage change in area divided by percentage change in production) of 0.36, compared with 0.51 for total agricultural production. As a result, one can conclude that the remaining increase in the production of the respective crops must have come from one or a combination of an intensive use of other inputs, increased productivity, or increased efficiency, leading to increased yields,Bachewe (2009) and Bachewe et. al. find productivity declined between 2004 and 2009 while Nin-Pratt et. al. (forthcoming) find considerable gains from increased productivity.
if there indeed was increases in yields and if there was what is the magnitude of this growth? what explains the growth in output and yields and what factors contributed the largest? Was there any increase in efficiency that lead to increased yields and what was the magnitude of its contribution? Was there any technical change in production that lead to increased total factor productivity (TFP) and how large was its contribution?Works using household and enumeration area data, DEA, SFA, and yield decomposition analysis, 1994/1998/2004-2009 data, find out mixed results regarding productivity. While those that used household level data, Bachewe 2009, and Bachewe et. al 2011, while Nin-Pratt et. al find considerable increase in TFP.Consensus regarding increased yields, sources of growth in output, and efficiency gains, but conflicting results regarding TFP,Works using household level data find declining TFP while those using enumeration area data find significant gains in TFP
Jorgenson and Griliches (1967) defineThe rate of growth of total factor productivity is defined as the difference between the rate of growth of real product and the rate of growth of real factor input. The rates of growth of real product and real factor input are defined, in turn, as weighted averages of the rates of growth of individual products and factors. The weights are relative shares of each product in the value of total output and of each factor in the value of total input. If a production function has constant returns to scale and if all marginal rates of substitution are equal to the corresponding price ratios, a change in total factor productivity may be identified with a shift in the production function. Changes in real product and real factor input not accompanied by a change in total factor productivity may be identified with movements along a production function.” (Jorgenson and Griliches 1967, P. 250)Let agricultural production is represented by an aggregate production function of the formthe assumption is that factors are paid their contribution to total product,Where , , & are shares of capital, labor, and land,Factors assumed paid contribution to output:Criticisms include aggregate production function assumption,Model fails to account for factors increasing in production but unaccounted for by measured factors such as:Public and private infrastructural and institutional improvements, Changes in returns to scale that may result in gains in productivity, andStochastic factors affecting production positively or negatively, andMeasurement errorsWhere f is rate of expansion of agricultural activities, z rate of growth in infrastructure, symbols with asterisks are correctly measured magnitudes, and accounts for stochastic factors.
Baseline specification implies an average annual change in TFP of 4.5 percent and a cumulative TFP level of 1.24 by 2009/10 from 2004/5Changes in and levels of TFP close in magnitude under 3-factor and 5-factor specifications,The relatively reliable considering effects of growth in intermediate input application, has an average annual change in TFP of 4 percent and level of TFP of 1.212 in 2009/10 from 1 in 2004/5.An average annual decline in TFP of 2.1 percent and decline in cumulative TFP from 2004/5 normalized to 1 to 0.895 from the modified model,Large deviation due to reduction in yield due to water stress, without which annual change in TFP averaged 1.4 percent and level of TFP grew to 1.07 in 2009/10 from its normalized level of 1 in 2004/5.
As was found out elsewhere labor and cultivated area among the factors contributing the largest while livestock contributed insignificantly,Fertilizer, improved seeds, and irrigated agricultural area have no significant contribution as was found in Bachewe et. al.Averaging through periods in which time dummies, which account for changes in TFP, were significant, on average TFP grew at 5 percent,This is slightly larger than TFP growth from baseline GA specification and about 4 times larger than the 1.4 percent from the modified model,Region dummies imply that the zones in Amhara and Oromia regions have the same production function as those in Tigray while zones in SNNPR have superior production function,
National average level of efficiency was 0.72 much larger than found in previous studies using ERHS data
National average level of efficiency was 0.72 much larger than found in previous studies using ERHS data