PRODUCTIVITY GROWTH AND WORKER REALLOCATION*

Productivity dispersion across firms is large and persistent, and worker reallocation among firms is an important source of productivity growth. An equilibrium model of growth and firm evolution designed to clarify the role of worker reallocation in the growth process is studied. We show that it explains the correlations between size measures and labor productivity found in Danish firm data. Conditions under which the reallocation of workers from less to more productive firms contributes to aggregate productivity growth in the economy modeled are derived. Finally, a proof of existence of an equilibrium solution to the model is also provided.     

Computers And Growth

The purpose of this paper is to describe the impact of investment in computers on the growth of the U.S. economy. The economic literature on computers is relatively rich in information on the decline in computer prices and the growth of computer investment. Constant quality price indices for computers have been included in the U.S. National Income and Product Accounts (NIPA) since 1986. These indices employ state of the art methodology to capture the rapid evolution of computer technology.

While the annual inflation rate for overall investment has been 3.66 percent for the period 1958 to 1992, computer prices have declined by 19.13 percent per year! Similarly, overall investment grew at 3.82 percent, while investment in computers increased at an astounding 44.34 percent! These familiar facts describe growth in the output of computers. The objective of this paper is to complete the picture by analyzing the growth of computer services as inputs.

In a pioneering paper Bresnahan (1986) has focused on pecuniary externalities arising from the rapid decline in computer prices. Griliches (1992, 1994) has emphasized the distinction between pecuniary and nonpecuniary externalities in the impact of computer investment on growth. This paper is limited to pecuniary externalities or the impact of reductions in computer prices on the substitution of computer services for other inputs. As Griliches (1992) points out, this is an essential first step in identifying nonpecuniary externalities or ‘spill-overs’ through the impact of a decline in computer prices on productivity growth. ^{* *}Brynjolfsson (1993) has proveded a detailed survey of studies of nonpecuniary externalities or ‘spill overs’. Recent studies include those of Brynjolfsson and Hitt (1994a, 1994b) and Lichtenberg (1993).

In two important papers Stephen D. Oliner (1993, 1994) has introduced a model of computer technology that greatly facilitates the measurement of computer services as inputs. In this paper we estimate computer stocks and flows of computer services for all forms of computer investment included in NIPA. We construct estimates of computer services parallel to NIPA data on computer investment by combining these data with information on computer inventories. For example, the International Data Corporation (IDC) Census of Computer Processors includes an annual inventory of processors in the U.S.

In Section 1 we present data on investment in computers and constant quality price indices from NIPA. These data incorporate important innovations in modeling computer technology stemming from a joint study by IBM and the Bureau of Economic Analysis (BEA) completed in 1985. This study utilized a ‘hedonic’ methodology for constructing an econometric model of computer prices that accurately reflects rapid changes in computer technology. This methodology generates an index of computer prices that holds the quality of computers constant.

In Section 2 we present the model of computer services originated by Oliner (1993,1994). This differs in important respects from the model of capital services used in the previous studies of U.S. economic growth surveyed by Jorgenson (1989,1990). The model employed in previous studies is based on the decline in productive capacity with the chronological age of a capital good. Oliner assumes that computers maintain their productive capacity until they are retired. Decline in productive capacity occurs only through removal of used computers from the inventory through retirement.

In Section 3 we construct estimates of stocks of computers that incorporate IDC data on computer inventories and derive the implied flow of computer services. While output of computer investments has grown very rapidly, the input of computer services has grown even faster. The price of these services has declined at 23.22 percent per year over the period 1958 to 1992, while the input of these services has grown at 52.82 percent! This is prima facie evidence of an important role for computer price declines as a source of pecuniary externalities.

In Section 4 we combine computer services with the services of other types of capital to produce a measure of capital input into the U.S. economy. We link this with labor input to obtain the contributions of both inputs to U.S. economic growth, arriving at the growth of productivity as a residual. We find that the contribution of computer services to input into the U.S. economy is far more important than the contribution of computer investments to output. This is a significant step toward resolution of the Solow paradox: ‘We see computers everywhere except in the productivity statistics. ^{* *}Robert M. Solow, quoted by Brynjolfsson (1993). Declines in computer prices generate very sizable pecuniary externalities through the substitution of computer services for other inputs. By contrast Solow focuses on nonpecuniary externalities that would appear as productivity growth.

In Section 5 we conclude that information on inventories of computers is critical in quantifying the role of computer services as inputs. The constant quality price indices for computers incorporated into NIPA are also essential. A price index for computers that reflects only general trends in inflation would result in a highly distorted perspective on the growth of GDP and capital services, especially during the past decade. To capture the contribution of all forms of investment to U.S. economic growth, similar price indices should be included in NIPA for capital goods with rapidly evolving technologies, as proposed by Gordon (1990).

The long term goal should be a unified system of income. product, and wealth accounts, like that proposed by Laurits Christensen and Jorgenson (1973) and Jorgenson (1980). This incorporates capital stocks, capital services, and their prices. Achieving this goal will necessitate much greater elaboration of the accounting system described in Section 3. These accounts would incorporate data on prices and quantities of investment, stocks of assets, and capital services for all forms of capital employed in the U.S. economy.     

Notes on Contributors

In recent political-economic theories of ‘nature’, Mill and Marx/Engels form important reference points. Ecological economists see Mill's ‘stationary state’ as seminal, while Marxists have ‘brought capitalism back in’ to debates on growth and climate change, sparking a Marxological renaissance that has overturned our understanding of Marx/Engels' opus. This article explores aspects of Mill's and Marx/Engels' work and contemporary reception. It identifies a resemblance between their historical dialectics. Marx's communism is driven by logics of ‘agency’ and ‘structure’ (including the ‘tendency of profit rates to fall’). In Mill's dialectic a ‘thesis’, material progress, calls forth its ‘antithesis’, diminishing returns. The inevitable ‘Aufhebung’ is a stationary state of wealth and population; Mill mentions countervailing tendencies but fails to consider their capacity to postpone utopia's arrival. Today, Mill's schema lives on in ecological economics, shorn of determinism but with its market advocacy intact. It appears to contrast with the ‘productive forces expansion’ espoused by Marx/Engels. They stand accused of ‘Promethean arrogance’, ignoring ‘natural limits’ and ‘gambling on abundance’. But I find these criticisms to be ill-judged, and propose an alternative reading, arguing that their work contains a critique of the ‘growth paradigm’, and that their ‘cornucopian’ ends do not sanction ‘Promethean’ means.     

Sustainable fisheries development in the tropics: trawlers and licence limitation in Malaysia

Sustainable fisheries development requires sound fisheries management. Area licence limitation programmes may form the cornerstone for most tropical multispecies fisheries management programmes. An empirical analysis of Peninsular Malaysian fishing trawlers is used to design an area licence limitation programme that conforms to the multiproduct production technology, and cost and revenue structures to best accommodate condtions of asymmetric information between the regulator and fishing vessels.     

INDUSTRIAL AND AGGREGATE MEASURES OF PRODUCTIVITY GROWTH IN CHINA, 1982–2000

We estimate productivity growth for 33 industries covering the entire Chinese economy using a time series of input–output tables covering 1982–2000. Capital input is measured using detailed investment data by asset and labor input uses demographic information from household surveys. We find a wide range of productivity performance at the industry level. We then show how these industry growth accounts may be consistently aggregated to deliver a decomposition of aggregate GDP growth. For the 1982–2000 period aggregate TFP growth was 2.5 percent per year; decelerating from a rapid rate in the early 1980s to negative growth during 1994–2000. The main source of growth during the 1982–2000 period was capital accumulation, with a small negative contribution from the reallocation of factors across industries.     

Modeling economic and agro-environmental dynamics of potato production systems

Crop rotation and other input management practices are of particular interest for their potential impacts on economic and agro-environmental components of potato production. Although crop yield and experimental impacts of rotations of grains, oilseed and legume crops have been published for several experimental studies in Canada there are few models related to the economic and environmental dynamics of potato production. We describe a dynamic model which integrates environmental and economic processes in potato production. The potato rotation model consists of interconnected modules of irrigation and precipitation, soil characteristics, soil erosion, soil water, phosphorus, nitrogen, soil organic matter, farming operations, crop yield and the related calculation of economic return. While not all aspects of crop production have been interlinked, including nitrogen carry-over, this model is the first step in the analysis of experimental data for irrigated potato rotations conducted in southern Manitoba.