From Economies of Density and Network Scale to Multioutput Economies of Scale and Scope: a Synthesis.



From Economies of Density and Network Scale to Multioutput Economies of Scale and Scope: a Synthesis.

Authors

Leonardo Basso, Sergio Jara-Díaz, University of Chile, CL

Description

Discussion of the reasons why Returns to Density (RTD) and Returns to Scale with variable network size (RTS) should be replaced by multioutput scale economies and economies of scope for a correct empirical analysis of transport industry structure.

Abstract

For more than twenty years transport industry structure in general, and that of the airline industry in particular, has been analyzed with the help of indices like Returns to Density (RTD) and Returns to Scale with variable network size (RTS). Along this period, caveats, corrections and improvements to calculate these measures have arisen. Nevertheless, both RTD and RTS have been established as the textbook indices to study, from a cost perspective, important issues like merging, optimal network size and shape, and the scope for competition. The objective of this paper is to organize this discussion, offering a synthesis of many years of research, and to prescribe what is, in our view, the best way to go about the empirical analysis of industry structure. We conclude that recently suggested methods to calculate i)(corrected) economies of density, ii) the multiproduct degree of economies of scale and iii) the degree of economies of scope, should be used.

Both RTD and RTS are defined as scale concepts and calculated as the inverse of the sum of certain product elasticities of costs. Regarding RTD, the basic idea is to analyze the effect on costs of product growth holding network size constant. Yet, in some cases, some authors introduce (many times implicitly) a second condition, namely holding the route structure constant. This introduces ambiguities about what the index is really capturing. On the other hand, RTS is aimed at analyzing costs as both output and the network grow. Both concepts are usually applied within the context of product specified as a vector of aggregate descriptors, but no general consensus about what descriptors should be used has been reached. This generates a second source of ambiguity regarding the use of these indices, as different authors consider different aggregate elasticities.

In our paper, we note that the aggregate descriptors are a function of the many transport flows that firms move from many origins to many destinations. We then argue analytically that, in transport, the multiproduct degree of returns to scale gives raise to two different indices, one of which correspond to an improved version of what is currently understood as RTD, while the second ?though informative? has not been identified yet. Finally, we sustain that the calculation of economies of spatial scope should replace the calculation of RTS.

Publisher

Association for European Transport