The estimation of the Cobb-Douglas production functions for the South African agricultural sector and a seletion of its subsectors

Hlongwa, Lungani

The estimation of the Cobb-Douglas production functions for the South African agricultural sector and a seletion of its subsectors

dc.contributor.advisor	Prof Kaseeram, Irrshad
dc.contributor.advisor	Prof Contogiannis, Terry Elefherios
dc.contributor.author	Hlongwa, Lungani
dc.date.accessioned	2025-11-25T13:38:25Z
dc.date.available	2025-11-25T13:38:25Z
dc.date.issued	2015
dc.degree.level	Masters
dc.degree.name	Master of Commerce in Economics
dc.departmentName	Economics
dc.description	Thesis submitted to the Faculty of Commerce, Administration and Law to fulfil the requirements for the Master of Commerce in Economics at the University of Zululand, South Africa.
dc.description.abstract	The main focus of this study is to apply a Cobb-Douglas production function to estimate agricultural production functions at both the aggregate and sub-sectoral levels in order to determine the productivity of land, labour and capital, while maintaining rainfall levels as a control variable for the South African economy over the period from 1975 to 2012. This task will be accomplished by applying cointegration techniques, Johansen’s (1988) vector autoregression (VAR) methodologies and error correction mechanisms to capture short run disequilibrium between agricultural production function and its determinants. Specifically, the main objective of this study is to derive plausible estimates of the marginal productivities of land, labour and capital. Moreover, this study will attempt to establish the nature of the long and short run relationships between land, labour and capital in the aggregate sector and the maize and wheat subsectors. However, before the empirical analysis is conducted the study will first attempt to explain the relevant theories of growth and, which will then serve as a basis for examining South African growth experiences and policy prescription more specifically in the agricultural sector, for the purposes of understanding the South African agricultural sector growth phenomenon and choosing appropriate determinates of agricultural production growth. The fundings of the VECM, FMOLS, CCR and DOLS methods strongly suggest that the marginal productivities of capital and land were positive while that of labour was negative; all the coefficients were statistically significant except for capital. Additionally, the marginal productivity of land exceeded unity, thus implying that land productivity exhibits increasing returns to scale which confirms the trends that the number of farms has been decreasing but their land acreage have been increasing. While the negative marginal productivity of labour suggests that the South African aggregate agricultural sector is overwhelmed by severe diminishing marginal returns to labour, which explains the observed persistent decline in employment in the agricultural sector over the past three decades or more.
dc.faculty	Faculty of Commerce, Administration and Law
dc.identifier.uri	http://hdl.handle.net/10530/58401
dc.language.iso	en
dc.subject	Agricultural productivity
dc.subject	Vector autoregression
dc.subject	Production economic theory
dc.subject	Land use
dc.title	The estimation of the Cobb-Douglas production functions for the South African agricultural sector and a seletion of its subsectors
dc.type	Masters Theses
dspace.entity.type	Publication
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