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November 10, 2015

Slow Capital Accumulation and the
Decline in Labor’s Share of Output
Filippo Occhino

Since capital and labor tend to be complementary in
the production of goods and services, the same factors that have slowed down capital accumulation since
the early 2000s may have weakened businesses’ labor demand and may have decreased the labor share.
The labor share of output—the ratio of labor compensation to output—has trended downward for decades,
but it has declined at a faster rate since the early
2000s. The labor share in the nonfarm business sector hovered around 64 percent in the 1950s, declined
to 61.4 percent in 2002, and dropped more rapidly
thereafter. It is currently close to 57 percent.

Labor Share
Labor compensation as a percent of output
67
65
63
61

A declining labor share means that wages grow less
than productivity. Since the early 2000s, wages have
risen much more slowly than productivity. Since 2002,
real compensation per hour in the nonfarm business
sector has grown at an average annualized rate of
0.73 percent, while productivity has grown at an average annualized rate of 1.79 percent.
According to Karabarbounis and Neiman (2013), the
decrease in the relative price of investment goods,
partly due to progress in information and communication technologies, has induced firms to replace labor
with capital, thereby reducing the labor share. Elsby,
Hobijn and Sahin (2013) find that part of the long-term

59
57
55
1947

1955

1963

1971

1979

1987

1995

2003

Notes: Nonfarm business sector. Shaded bars indicate recessions.
Sources: Bureau of Labor Statistics; Haver Analytics.

2011

decline in the labor share may be explained by the
offshoring of labor-intensive production processes,
which has led to a higher capital-labor ratio in U.S.
production, and a lower labor share.
Lawrence (2015a and 2015b), however, points out
that the labor share decline may be connected with
a lower, rather than a higher, capital-labor ratio. Most
estimates suggest that capital and labor tend to be
complementary in the production of goods and services, which means that production requires the use
of both capital and labor together, and it is difficult to
substitute capital for labor or labor for capital. When
capital and labor are complementary, a decrease in
the capital-labor ratio is associated with a contraction in businesses’ demand for labor, which leads to a
plunge in the wage rate and to a decline in the labor
share. Lawrence then connects the labor share decline with a lower effective capital-labor ratio induced
by labor-augmenting technological progress—a type
of technological progress that raises the productivity
of labor relative to capital and encourages businesses
to substitute labor for capital.
Lawrence’s argument suggests that the steeper
decline of the labor share since the early 2000s may
be connected with the slowdown of capital growth in
those years. Capital services, which grew at an average rate of 4.3 percent annually before 2002, have
since grown only 2.2 percent annually on average.
Capital services per hour, an indicator of the capitallabor ratio, grew at an average rate of 2.89 percent
annually before 2002, but have since grown 2.05
percent annually on average.
Depending on the strength of the complementarity
between capital and labor, a given decrease in the
growth rate of the capital-labor ratio can be associated
with a sizeable decline in the labor share. For instance, if we use an empirically plausible value for the
strength of complementarity (an elasticity of substitution equal to 0.5), then a decrease in the capital-labor
ratio of, say, 10 percent translates into a decrease
in the labor share of approximately 2.5 percentage
points, all else constant.
This suggests that the same factors that have slowed
down capital accumulation since the early 2000s may
have also weakened businesses’ labor demand, leading to a faster decline in the labor share and a wider
gap between wage growth and productivity growth.
One such factor could be the deceleration of multifac-

Real Wage and Productivity
Index, 2000:Q1=100
140

Real output
per hour

120

Real
compensation
per hour

100
80
60
40
20
1947

1955

1963

1971

1979

1987

1995

2003

2011

Notes: Nonfarm business sector. Shaded bars indicate recessions. Both series scaled
to 100 in 2000:Q1.
Sources: Bureau of Labor Statistics; Haver Analytics; author’s calculations.

Capital Services
Percent annual growth rate
7
6
5
4
3
2
1
0
1949

1957

1965

1973

1981

1989

Note: Nonfarm business sector.
Sources: Bureau of Labor Statistics; Haver Analytics.

1997

2005

2013

tor productivity. Since 2005, multifactor productivity
has grown 0.58 percent annually on average, more
than a percentage point slower than in the previous
1996-2004 period, which was characterized by fast
productivity growth.

Multifactor Productivity
Percent annual growth rate
3

References
Elsby, Michael W. L., Bart Hobijn, and Aysegul Sahin (2013). “The

2

Decline of the U.S. Labor Share,” Brookings Papers on Economic
1

Activity.
Karabarbounis, Loukas and Brent Neiman (2013). “The Global
Decline of the Labor Share,” NBER Working Paper No. 19136.
Lawrence, Robert Z. (2015a). “Recent Declines in Labor’s Share
in US Income: A Preliminary Neoclassical Account,” NBER Working Paper No. 21296.

0

-1

-2
1985

1989

1993

1997

2001

2005

2009

2013

Note: Nonfarm business sector.
Sources: Bureau of Labor Statistics; Haver Analytics.

Lawrence, Robert Z. (2015b). “Explaining recent declines in labour’s share in US income,” VoxEU.org.

Filippo Occhino is a senior research economist in the Research Department of the Federal Reserve Bank of Cleveland. His primary areas
of interest are monetary economics and macroeconomics and his recent research has focused on the interaction between the risk of
default in the corporate sector and the business cycle.
Economic Trends is published by the Research Department of the Federal Reserve Bank of Cleveland.
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