Embodiment, Disembodiment, Learning by Doing, and Returns to Scale in Nineteenth-Century Cotton Textiles

1972 ◽  
Vol 32 (3) ◽  
pp. 691-705 ◽  
Author(s):  
Jeffrey G. Williamson

As the key conveyance of nineteenth-century American industrialization and early experimentation with tariff policy, the antebellum textile sector has always received extensive attention by economic historians. In the past two decades, we have learned much about industrial financing, investment behavior, productivity growth, the nature of the production function, and the optimality of tariff policy, yet we remain ignorant still on some fundamental issues. One of these involves a better understanding of the equipment replacement decision under conditions of rapid growth, technological improvement, and variable tariff policies. But most importantly, the identification of sources of productivity improvement and their magnitude had remained inadequately understood until very recently with the appearance of Paul David's article in this Journal. David's important contribution applies aggregate production function analysis to textiles in an effort to isolate the determinants of labor productivity growth during the three decades preceding the Civil War. The model is neoclassical with a Cobb-Douglas specification, variable returns to scale, disembodied technical progress and with a learning variable explicitly introduced into the production function. David finds evidence of constant returns to scale, strong learning effects, high rates of disembodied technical progress, and improved labor quality, the latter sufficient to offset the alleged downward pressure on productivity attributable to a long-run decline in input (especially labor) utilization rates.

2004 ◽  
Vol 4 (1) ◽  
Author(s):  
Hiau Looi Kee

Abstract For both primal and dual TFP growth accounting to properly account for productivity growth, assumptions of constant returns to scale and perfect competition are necessary. This paper shows that without these assumptions, while both TFP growth accounting measures remain equal if factor shares are constant, they are also equally bad at measuring productivity growth. This paper proposes a structural regression to estimate productivity growth based on more general production and cost functions. Using Singapore's industries as illustrations, this paper finds that the assumptions are widely rejected, and the estimated productivity growth exceeds both the accounting measures. When the same methodology is applied to the aggregate Singapore data, the estimated productivity growth is 4.4 percent per year, significantly higher than that of Young's (1992) and Hsieh's (2002).


2002 ◽  
Vol 31 (2) ◽  
pp. 211-220 ◽  
Author(s):  
Kalyan Chakraborty ◽  
Sukant Misra ◽  
Phillip Johnson

Technical efficiency for cotton growers is examined using both stochastic (SFA) and nonstochastic (DEA) production function approaches. The empirical application uses farm-level data from four counties in west Texas. While efficiency scores for the individual farms differed between SFA and DEA, the mean efficiency scores are invariant of the method of estimation under the assumption of constant returns to scale. On average, irrigated farms are 80% and nonirrigated farms are 70% efficient. Findings show that in Texas, the irrigated farms, on average, could reduce their expenditures on other inputs by 10%, and the nonirrigated farms could reduce their expenditures on machinery and labor by 12% and 13%, respectively, while producing the same level of output.


1989 ◽  
Vol 28 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Ashfaque H. Khan

Production functions have been widely studied in the relevant literature. In this paper, apart from labour and capital, we have used energy as a factor input and calculated the elasticity of substitution between these inputs, measured technical progress, and determined the returns to scale in the manufacturing sector of Pakistan. Since we have more than two factors of production, the standard Cobb· Douglas and CES production functions do not provide satisfactory results. Hence, two·level (nested) CES production function becomes the natural choice for the appropriate technology. Using this technology, we have found low elasticity of substitution between the three factors of production. Furthermore, the manufacturing sector is found to exhibit decreasing returns to scale, having experienced disembodied technical progress at the rate of 3.7 percent per annum.


1975 ◽  
Vol 41 (04) ◽  
pp. 379-387
Author(s):  
R.W. Latham ◽  
D.A. Peel

In a recent paper Andrieu [l] derived the rules of derived demand for a factor in a perfectly competitive industry when the industry’s production function was homogeneous but not necessarily of degree one. In order to achieve compatibility with competitive behaviour economies of scale were assumed to be external to each firm but internal to the industry. Within this framework he showed that Marshall’s third rule concerning relative shares was modified and, further, proposed a ‘ fifth law ’ with respect to the returns to scale parameter : ‘ Other things being equal, an increase in the returns to scale will make the derived demand for a factor more (less) elastic if the demand for output is elastic (inelastic). The purpose of this note is to examine a model which is the polar opposite to that considered by Andrieu. Here the firm is assumed to be the industry i.e. a monopolist. Non-constant returns to scale are introduced by assuming that the production function is homogeneous of an arbitrary degree. The analysis is not completely general since both the price elasticity of demand and the elasticity of supply of the second factor are assumed to be constant. However within this model it is shown that not only are Marshall’s second and third laws modified but also Andrieu’s fifth law.


2016 ◽  
Vol 21 (7) ◽  
pp. 1827-1835
Author(s):  
Andreas Irmen ◽  
Alfred Maußner

We study production functions with capital and labor as arguments that exhibit positive, yet diminishing marginal products and constant returns to scale. We show that such functions satisfy the Inada conditions if (i) both inputs are essential and (ii) an unbounded quantity of either input leads to unbounded output. This allows for an alternative characterization of the neoclassical production function that altogether dispenses with the Inada conditions. Although this proposition generalizes to the case of n > 2 factors of production, its converse does not hold: 2n Inada conditions do not imply that each factor is essential.


2008 ◽  
Vol 38 (10) ◽  
pp. 2553-2565 ◽  
Author(s):  
Ted L. Helvoigt ◽  
Darius M. Adams

This paper uses data envelopment analysis (DEA) to characterize the changing production frontier (technical efficiency, productivity growth, technical and efficiency change, and returns to scale) of the sawmilling industry in the Pacific Northwest (PNW) US using geographical panel data for the period 1968–2002. Unlike past DEA studies, we develop confidence intervals for all estimates using an improved bootstrapping method. The results indicate that the gap between the least and most efficient regions in PNW has grown and the least efficient regions are falling further behind the most efficient regions. For the Oregon regions, the null hypothesis of constant returns to scale (CRS) could not be rejected for any year. For the Washington regions, returns to scale varied year by year, although only two of the five regions showed strong tendencies away from CRS. For PNW as a whole, mean productivity growth was 0.5% per year between 1968 and 1992. Between 1992 and 2002, the regional mean was 1.3%, although with wide variation across regions. DEA results indicate that the vast majority of productivity growth in the PNW sawmilling industry between 1968 and 2002 was due to technical change. Improvements in scale efficiency played a very small role, and efficiency change was zero or negative.


2014 ◽  
Vol 14 (1) ◽  
pp. 127-148 ◽  
Author(s):  
Christian Jensen

AbstractReplication alone does not yield a smooth constant-returns-to-scale production function as those usually assumed in the literature. However, such a function arises endogenously with replication, driven by profit-maximization, if the efficiency of the underlying production process varies with the intensity it is operated at, and reaches a maximum at a stationary point. The result applies when the number of production processes must be discrete, thus overcoming the so-called integer problem. When inputs are non-rival, public goods or generated by externalities, replication can lead to increasing or decreasing returns to scale.


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