Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries

The Malmquist index has become extensively used in international comparisons of agricultural productivity since it does not require prices for its estimation, which are normally not available. However, the data envelopment analysis (DEA) approach used to estimate this index still uses implicit price...

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Autores principales: Nin-Pratt, Alejandro, Yu, Bingxin
Formato: Journal Article
Lenguaje:Inglés
Publicado: Wiley 2010
Materias:
Acceso en línea:https://hdl.handle.net/10568/154447
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author Nin-Pratt, Alejandro
Yu, Bingxin
author_browse Nin-Pratt, Alejandro
Yu, Bingxin
author_facet Nin-Pratt, Alejandro
Yu, Bingxin
author_sort Nin-Pratt, Alejandro
collection Repository of Agricultural Research Outputs (CGSpace)
description The Malmquist index has become extensively used in international comparisons of agricultural productivity since it does not require prices for its estimation, which are normally not available. However, the data envelopment analysis (DEA) approach used to estimate this index still uses implicit price information. This entails potential problems because these methods are susceptible to the effect of data noise, and shadow prices can prove to be inconsistent with prior knowledge on cost shares. In this article, we analyze implicit input shadow shares used in the DEA approach to estimate agricultural productivity using the Malmquist index for 63 developing countries. We then set bounds to the implicit input shares by introducing information on their likely value and compare constrained and unconstrained input shares. We conclude that the incidence of zero shadow prices justifies the introduction of constraints in the estimation of the Malmquist index. The article also presents detailed results of TFP growth in developing countries using constrained shadow shares for their estimation. We find that agricultural TFP has been growing steadily in the past 20 years even if countries like China, Brazil, and India are not considered. Remarkably, we find a clear improvement in the performance of Sub‐Saharan Africa since the mid 1980s.
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spelling CGSpace1544472024-11-15T08:52:31Z Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries Nin-Pratt, Alejandro Yu, Bingxin data envelopment analysis shadow prices productivity The Malmquist index has become extensively used in international comparisons of agricultural productivity since it does not require prices for its estimation, which are normally not available. However, the data envelopment analysis (DEA) approach used to estimate this index still uses implicit price information. This entails potential problems because these methods are susceptible to the effect of data noise, and shadow prices can prove to be inconsistent with prior knowledge on cost shares. In this article, we analyze implicit input shadow shares used in the DEA approach to estimate agricultural productivity using the Malmquist index for 63 developing countries. We then set bounds to the implicit input shares by introducing information on their likely value and compare constrained and unconstrained input shares. We conclude that the incidence of zero shadow prices justifies the introduction of constraints in the estimation of the Malmquist index. The article also presents detailed results of TFP growth in developing countries using constrained shadow shares for their estimation. We find that agricultural TFP has been growing steadily in the past 20 years even if countries like China, Brazil, and India are not considered. Remarkably, we find a clear improvement in the performance of Sub‐Saharan Africa since the mid 1980s. 2010-05 2024-10-01T14:01:34Z 2024-10-01T14:01:34Z Journal Article https://hdl.handle.net/10568/154447 en Limited Access Wiley Nin-Pratt, Alejandro; Yu, Bingxin. 2010. Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries. Agricultural Economics 41: 349-360. https://doi.org/10.1111/j.1574-0862.2010.00446.x
spellingShingle data envelopment analysis
shadow prices
productivity
Nin-Pratt, Alejandro
Yu, Bingxin
Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries
title Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries
title_full Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries
title_fullStr Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries
title_full_unstemmed Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries
title_short Getting implicit shadow prices right for the estimation of the Malmquist index: The case of agricultural total factor productivity in developing countries
title_sort getting implicit shadow prices right for the estimation of the malmquist index the case of agricultural total factor productivity in developing countries
topic data envelopment analysis
shadow prices
productivity
url https://hdl.handle.net/10568/154447
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