Jean-Philippe Boussemart

Luenberger and Malmquist Productivity Indices: Theoretical Comparisons and Empirical Illustration

This contribution establishes, from a theoretical viewpoint, the relations between the Malmquist productivity indices, that measure in either input or output orientations, and the Luenberger productivity indices, that can simultaneously contract inputs and expand outputs, but that can also measure in either input or output orientations. The main result is that a Malmquist productivity index overestimates productivity changes, since it provides productivity measures that are nearly twice those given by the Luenberger productivity index looking for simultaneous contractions of inputs and expansions of outputs. This relationship is empirically illustrated using data from 20 OECD countries over the 1974–97 period.

Short- and Long-Run Credit Constraints in French Agriculture: A Directional Distance Function Framework Using Expenditure-Constrained Profit Functions

This empirical application investigates the eventual presence of credit constraints using a panel of French farmers. The credit-constrained profit maximization model proposed by Fare, Grosskopf, and Lee is extended in three ways. First, we rephrase the model in terms of directional distance functions to allow duality with the profit function. Second, we model credit constraints in the short-run and investment constraints in the long-run using short- and long-run profit functions. Third, we lag the expenditure constraint one year to account for the separation between planning and production. We find empirical evidence of credit and investment constraints. Financially unconstrained farmers are larger, perform better, and seem to benefit from a virtuous circle where access to financial markets allows better productive choices.

Economic value of greenhouse gases and nitrogen surpluses: Society vs farmers’ valuation

Livestock supply must challenge the growth of final demand in the developing countries. This challenge has to take into account its ecological effects since the dairy and livestock sectors are clearly pointed out as human activities which contribute significantly to environmental deterioration. Therefore, livestock activity models have to include desirable and undesirable outputs simultaneously. Using this perspective, we implement a Data Envelopment Analysis model to evaluate shadow prices of outputs under contradictory objectives between the society and the farmers. We show that farmers are able to reduce pollution significantly if society accepts to balance farmers’ opportunity cost. Finally, we observe that initial levels of the CO2 tax implemented in European countries are in line with farmers’ valuation while the current level of the CO2 tax tends to reach the value of pollution targeted by the society.

Measuring potential gains from specialization under non-convex technologies

In this paper, the Free Coordination Hull (FCH) approach developed by Green and Cook (2004) is combined with the Free Disposal Hull (FDH) model to detect potential gains from specialization. As a non-convex approach that allows both directly observed and summed Decision Making Units to define the production technology, FCH is the relevant model for analysing optimal reallocation of activity among smaller and more specialized units. Indeed in more traditional Data Envelopment Analysis models the convexity assumption precludes the possibility of detecting potential gains from specialization and can only reveal economies of scope. Therefore non-convex technologies are required to model diseconomies of scope. On the basis of FDH and FCH technologies, an overall efficiency measure is decomposed into three components, namely: technical, size and specialization efficiencies. A 2003 database of French farms is used as an illustration. Results indicate that input inefficiency in the agricultural sector is mainly driven by a lack of specialization, which represents approximately 50% of the overall inefficiency.

Linear programming solutions and distance functions under alpha-returns to scale

AbstractThis note generalizes analytical relationships among activity variables of Data envelopment analysis models previously derived in a previous article by the authors of this note. We relax the assumption of constant returns to scale by showing that the key results hold under a weaker assumption of homogeneity. We use the notion of α-returns to scale to extend the analysis to strictly increasing and decreasing returns, covering now the whole range of returns to scale for multi-output homogenous technologies.

Linear Programming Solutions and Distance Functions Under a Constant Returns to Scale Technology

In this paper, we investigate the various relationships among the linear programming solutions of data envelopment analysis (DEA) models under a constant returns to scale technology. We derive the analytical relationships among the efficiency measures and the activity variables for four separate models: the input-based, the output-based, the hyperbolic, and the proportional distance functions. We apply our results in order to derive a test of consistency that can be used in assessing the returns to scale among differing DEA models.

More evidence on technological catching-up in the manufacturing sector

Production frontiers for the manufacturing sector are estimated to determine a ‘country specific’ catching-up process of Total Factor Productivity (TFP). TFP gains were aimed at assessing the manufacturing industrys productive performances for 14 Organization for Economic Cooperation and Development (OECD) countries over the period 1970 to 2001. Our TFP measure does not assume technical or allocative efficiency which are inherent drawbacks of usual TFP indices. We show that catching-up processes can be very different between sub-periods and across countries. A significant catching-up process was in progress in the manufacturing sector between 1970 and 1986, then it overturned over the period 1987 to 2001. During the first sub-period, the speed of technological catching-up of the Eurozone countries was definitely higher than those of the other European or OECD nations, whereas the divergence noted in the second sub-period had the same order of magnitude amongst the three groups.

Generation and distribution of the total factor productivity gains in US industries

ABSTRACT This study estimates productivity gains and their distribution among inputs and outputs for 63 American industries over the period 1987–2012. Using the traditional surplus accounting method, the Total Factor Productivity (TFP) growth rates are divided into their price change components in order to determine the stakeholders who do or do not receive price advantages. An initial analysis showed that TFP of US industries increased at an average trend of 0.8% and established that remunerations to employees and firms’ profitability constituted 49% and 39%, respectively, of the accumulated economic surplus from the productivity gains. Suppliers of intermediate inputs retained 12.1% of the surplus. Finally, customers, equipment and structure providers were the losers in the distribution of economic surplus via, respectively, a significant growth of relative final demand prices and a substantial price decrease of these assets. A second step analysis underlined that industries with high TFP growth rates mainly benefited customers and firms via output price decreases and profitability improvements while industries with low or negative TFP changes hurt customers through significant output price increases. The sectoral level analysis also showed that employees’ remunerations depend only slightly on productivity gains produced within their industrial sectors.

A two-stage translog marginal cost pricing approach for Floridian hospital outputs

Since the passage of the Affordable Care Act (ACA) of 2010, issues still remain regarding the mandated purchase of insurance to ensure more universal coverage. One such issue is the pricing of these insurance packages and whether or not the reimbursements will cover necessary services. Therefore, policy concerns exist that increasing the number of insured individuals may not curtail costs. Conversely, providers may not wish to treat patients covered by excessively frugal plans such as Medicaid; hence the trade-offs between access and cost control. In this article, we present findings from a cost function and a productivity approach to determine the marginal cost of providing inpatient hospital care for hospitals operating in Florida during 2005. Using these methodological approaches, we are able to use the marginal rate of transformation to determine the relative marginal costs while controlling for hospital technical and allocative inefficiency. Our work differs from earlier articles as we avoid the Greene problem for cross-sectional models through a two-step approach. By including both reimbursement rates under conditions of hospital efficiency, we can ascertain payment schemes that should, at least in theory, cover necessary costs for patient care without leading to excessive input usage.