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EN
(Polish title: Na marginesie artykulu T. Tokarskiego pt. przestrzenne zróznicowanie lacznej produkcyjnosci czynników produkcji w Polsce, opublikowanego w 'Gospodarce narodowej' nr 3/2010). This paper provides a positive verification of the hypothesis that if you take the Cobb-Douglass' production function with constant returns of scale, the flexibility of work output relative to technical capital per one employee is not the same in all voivodeships, which is contradictory to the assumption made in the quoted paper by T. Tokarski. If we accept the revised hypothesis, we will obtain a different voivodeship structure of total productivity of production factors. Thus, we can also obtain, which is not the subject of this paper, different assessment of models in which this variable originates.
EN
The aim of this study was to examine the technical efficiency of agriculture by identifying the coefficients of technical efficiency, development of agricultural efficiency ranking using DEA superefficiency method, an attempt to clarify the efficiency of agriculture by using an index of Malmquist total factor productivity (TFP) and to determine the efficiency of agriculture by the SFA for each year of the period audited . We analyzed the results of agriculture presented by the provincial structure. The value of the average DEA technical efficiency ratios in individual years ranged from 99.3% to 100.0% and the index value of the total Malmquist productivity in 1998-2009 was 9.4%, while its growth was the impact of technological change index (9.4%) per year. Calculations of coefficients of efficiency made by using BC1 and BC2 models of stochastic frontier functions (SFA) confirmed high efficiency of Polish agriculture in the analyzed period. In the case of BC1 model , it ranged from 86.7% (2002) to 100% (2006, 2007). Solutions BC2 model provided slightlylower results compared with the results of BC1 model . Efficiency coefficients in this model ranged from 86.3% (2001) to 99.8 (1998). Efficiency coefficients calculated at the time the SFA show steady growth. In the BC1 model in 1998 efficiency ratio was 45.0% and in 2009 reached 78.4%, while in the BC2 model efficiency coefficients were 52.2% in 1998 and 96.9% in 2009.
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