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Productivity Growth in Agriculture in Latin America and the Caribbean. Presented by Carlos Ludena. Outline. Importance of Agricultural Productivity Methods to Measure Total factor Productivity Productivity in Agriculture - Results Agricultural Productivity in Latin America
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Productivity Growth in Agriculture in Latin America and the Caribbean Presented by Carlos Ludena
Outline • Importance of Agricultural Productivity • Methods to Measure Total factor Productivity • Productivity in Agriculture - Results • Agricultural Productivity in Latin America • Impacts of External Shocks and Economic Reforms • Going forward – future analysis
I. Agricultural Productivity - Importance to the wider economy
Productivity in Agriculture • Agricultural productivity is an key factor for agricultural development. • Agricultural development is an important precondition towards industrialization • Preceded and promoted industrialization in now developed economies. • Agricultural productivity growth is higher relative to manufacturing (Martin and Mitra, 1999) • 0.5 - 1.5 percent per year higher
Agricultural Productivity and economic growth • Agricultural productivity improves broader economic growth by: • Generation of additional demand for goods and services produced outside agriculture as income from agriculture increases. • Savings through increased farm incomes which can then be invested both in agriculture and other sectors. • Release of labor to the industrial sector. • Provision of cheap food for urban areas, enabling them to maintain wage rates at competitive levels • Provision of raw material to support manufacturing.
II. Approaches to Measure TFP - Distance functions and the Malmquist Index
Total Factor Productivity (TFP) • Can take into account all relevant factors and offer a more detailed view relative to partial factor productivity (PFP) • Used in the analysis of agricultural productivity
TFP Measurement Approaches • Frontier or Non-Frontier • Frontier approaches explicitly incorporate inefficiency and account for changes in efficiency over time. • Non-frontier approaches generally assume that observed output is frontier output • Competitive optimizers behavior. Firms are technically efficient • TFP is changes in production technology only
TFP Measurement Approaches • Econometric • Estimation of cost and production functions (non-frontier) • Estimation of production frontier • Deterministic • Index Numbers (Laspayres, Paasche, Törnqvist) • Mathematical Programing (Malmquist Index)
Deterministic Methods • Do not involve explicit specification of a production function (no estimation of parameters) • A deterministic or exact relationship between inputs and outputs. • Sensitive to measurement errors
B A y2 g C P(x) y1 O2 O Output Possibility Set and Distance Functions P(x)= {y R+M | (y, x) S} D0(x, y) = (sup{θ: (x, θy) S})-1 θ = Efficiency coefficient D0(x, y) = OC/OA
Distance Functions and Productivity Indices y2 Bt+1 Bt At+1 g At St St+1 y1 O
Malmquist Index • Malmquist Index (Caves et al., 1982) Maximal proportional change in output to make (xt,yt) feasible in relation to technology at t+1. Technology in period t is reference technology. Technology in period t+1 is reference technology.
TFP, Malmquist Index and Distance Functions • Fare et al. (1994, AER): Geometric mean of two Malmquist Indexes (t and t+1) • Shepard’s Distance Function: • Maximum proportional change in outputs required to make the set of input and outputs feasible in relation to the technology at time t • Computed as the solution to a linear programming problem, with the model exhibiting constant returns to scale:
Subject to Where: kis the set of countries (k*is a particular country whose efficiency is being measured) jis the set of outputs,his the set of inputs, zkis the weight of thekth country data; and is the efficiency index.
Malmquist Index • Output-based Malmquist productivity change index
Malmquist Index • Allows for inefficient performance • Does not assume an underlying form for technology • Constructs a “world” frontier and compares each country to this frontier. • Two components: Efficiency change and technical change • The product of these two components yields a frontier version of productivity change
Technical Change and Efficiency Change y2 Bt+1 Technical Change “Innovation” Bt At+1 g Efficiency Change “Catching-up” At St St+1 y1 O
y2 E K F g G C L D h H P(x) i y1 O j Distance Functions with multiple outputs
Directional Distance Function • Nin et al. (2003): Input allocation • Specific input constraints for allocated inputs • Modified the directional distance function measure (Chung et al., 1997) • Defined as the contraction of inputs and the expansion of outputs (-gxgy) • One output: g = (yi, 0) • The distance function D(x, y; g = (yi, 0)) is the optimal objective value for the following problem:
Subject to: A is the set of allocatable inputs, is the level of the allocatable input h used to produce output j of firm k, i is the particular output for which efficiency is being measured for firm k*, and index the other outputs (for which efficiency is not being measured).
Directional Malmquist Index • Directional Malmquist Index for a specific Product/Sector (Nin-Pratt et al., 2003)
Directional Malmquist Index • Efficiency and Technological Change Components:
Limitations • Malmquist index may not be well defined • Reallocation factor bias in the measure • Movement of unallocated inputs from one activity to the other rather than technical growth. • Data • Which factors are relevant • Which peers (countries) to include • Zero output in some cases (i.e. pork production) • Other problems (not exclusive of Malmquist Index) • Which measures/indicators are appropriate?
III. Productivity in Agriculture - Worldwide results and focus on Latin America Ludena et al., 2007. Productivity growth and convergence in crop, ruminant, and non ruminant production: measurement and forecasts. Agricultural Economics 37 (1): 1–17
Empirical Application for Latin America • FAOSTAT: 116 countries, 1961-2001 • Outputs – Crops, Ruminants and Non Ruminants • Inputs • Land (Pastures, Arable and Permanent Crops) • Machinery (tractors, milking machines) • Animal Stock • Animal Feed • Fertilizers • Labor (in agriculture)
TFP in Agriculture (1961-2001) Annual Productivity Growth (%) in Agriculture and Subsectors
TFP in Agriculture in Latin America and the Caribbean Annual Productivity Growth (%) in Agriculture and Subsectors (1961-2001)
Cumulative Productivity Index for Latin America and the Caribbean (1961 = 100) Source: Ludena et al. 2007.
TFP in Agriculture in Latin America and the Caribbean (1961-2000)
Annual TFP Growth (1961-200)Countries with Land Abundance (Ha./PEA > 12)
Annual TFP Growth (1961-200) Countries with Land Constraint (Ha./PEA < 12)
V. External Shocks and Economic Reforms: Impacts on Agricultural Productivity - The cases of Brazil and Cuba
Brazil and its agricultural policy – 1943-1980s • The corner stone of Brazil’s agricultural policy since 1943 until the mid 1980s was the Minimum Price Program (PPM). • Objective of the PPM: Reduce price risks and variability, hence promote more investment and agricultural production. • However, the PPM changed into a consumer subsidy program – “cheap food policy”. • Price control on more than 40 agricultural products, by fixing prices, controlling marketing margins and allowing subsidized imports to compete with domestic production.
Brazil and its agricultural policy – 1985-2000 • In 1985 agricultural policies changed. • Trade liberalization and reduction of government intervention. • Deregulation and elimination of direct price controls in agricultural products. • This changes reduced costs and increased agricultural productivity.
Brazil and its agricultural policy – 1985-2000 • Agricultural productivity grew at an annual rate of 3.26%. • Livestock sector grew the most: • Productivity growth in pigs and poultry grew at 10% per year. • Productivity in bovine meat and milk production grew at 5% per year.
Brazil and its agricultural policy – 1985-2000 • More productivity in pigs and poultry due to reduced costs. • Incentives to move to corn and soybean production areas. • This has reduced feed costs, which are >50% of all costs in pigs and poultry production.