AbstractsEconomics

Assessing technical, allocative and economic efficiency of smallholder maize producers using the stochastic frontier approach in Chongwe District, Zambia

by Michael Kabwe




Institution: University of Pretoria
Department: Agricultural Economics, Extension and Rural Development
Degree: MSc
Year: 2012
Keywords: smallholder; parametric approach; efficiency; stochastic frontier production function; Chongwe; Zambia
Record ID: 1440446
Full text PDF: http://upetd.up.ac.za/thesis/available/etd-07192012-181237/


Abstract

Smallholder farmers' efficiency has been measured by different scholars using different approaches. Both parametric and non-parametric approaches have been applied; each presenting unique results in some ways. The parametric approach uses econometric approaches to make assumptions about the error terms in the data generation process and also impose functional forms on the production functions. The nonparametric approaches neither impose any functional form nor make assumptions about the error terms. The bottom line of both approaches is to determine efficiency in production. In this study a parametric stochastic frontier approach is used to assess technical, allocative and economic efficiency from a sample of smallholder maize producers of Chongwe District, Zambia. This approach was chosen based on the fact that production among this group of farmers varies a great deal, and so the stochastic frontier attributes part of the variations to the random errors (which reflects measurement errors and statistical noise) and farm specific efficiency. Using a Cobb-Douglas frontier production function which exhibits self dual characteristics, technical efficiency scores for the sample of the smallholder maize producers are derived. With the parameter estimates(âi) obtained from the Cobb-Douglas stochastic production frontier, input prices (âi) and taking advantage of the self dual characteristics of the Cobb-Douglas, a cost function is derived. This forms the basis for calculating the farmers' allocative and economic efficiency. Results obtained from the study showed considerable technical, allocative and economic inefficiencies among smallholder maize producers. Technical Efficiency (TE) estimates range from 40.6 percent to 96.53 percent with a mean efficiency of 78.19 percent, while Allocative Efficiency (AE) estimates range from 33.57 to 92.14 percent with a mean of 61.81. The mean Economic Efficiency (EE) is 47.88 percent, with a minimum being 30 percent and a maximum of 79.26 percent. The results therefore indicate that inefficiency in maize production in Chongwe District is dominated by allocative and economic inefficiency. Additionally, in the two stage regression households characteristics: age; sex; education level; occupation; years in farming; land ownership; household size; access to extension and access to credit services; are regressed against technical efficiency scores using a logit function. Results obtained shows that land ownership, access to credit services, access to extension services, land ownership and education level of up to post primary (secondary and tertiary) have a positive influence on the households' technical efficiency. On the other hand, age of the household head; female headed household and lack of education (though not statistically significant at any confidence level) have a negative influence on this group of maize producers. In a similar two stage regression, access to extension services, membership to producer organisation, access to credit and disaster experienced on the farm such…