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Working Paper Series

Accounting for Unemployment in the
Great Recession: Nonparticipation
Matters

WP 12-04

Marianna Kudlyak
Federal Reserve Bank of Richmond
Felipe Schwartzman
Federal Reserve Bank of Richmond

This paper can be downloaded without charge from:
http://www.richmondfed.org/publications/

Accounting for Unemployment in the Great Recession:
Nonparticipation Matters
Marianna Kudlyak Felipe Schwartzman
Working Paper No. 12-04
June 5, 2012

Abstract
We conduct an accounting exercise of the role of worker ‡ows between unemployment, employment, and labor force nonparticipation in the dynamics of the aggregate
unemployment rate across four recent recessions: 1982–1983, 1990–1991, 2001, and
2007–2009 (the “Great Recession”). We show that, whereas during earlier recessions it
was su¢ cient to examine the ‡ows between employment and unemployment to account
for the dynamics of the unemployment rate, this was not true in the Great Recession.
The increased importance of the ‡ows between nonparticipation and unemployment is
documented across all age and gender groups.

Federal Reserve Bank of Richmond, Richmond VA 23219, USA (marianna.kudlyak@rich.frb.org, felipe.schwartzman@rich.frb.org). Jonathan Tompkins provided expert research assistance. The views expressed here are those of the authors and do not re‡ect those of the Federal Reserve Bank of Richmond or
the Federal Reserve System.

1

Introduction

From the second quarter of 2007 to the fourth quarter of 2009, the aggregate unemployment
rate in the U.S. increased from 4.5% to 10.1%. In the fourth quarter of 2011, eight quarters
after its peak, the aggregate unemployment rate was still at 8.7%. Such a rapid increase
and subsequent persistence of the elevated unemployment rate place it at the forefront of
research and policy discussions.
The U.S. labor market is characterized by substantial worker ‡ows between employment,
unemployment, and out-of-labor force (hereafter, nonparticipation). These ‡ows de…ne the
changes in the stocks of the unemployed and employed, and, as a result, the unemployment
rate. Research that studies the behavior of unemployment by examining gross worker ‡ows
has typically focused on two labor force statuses: employment and unemployment.1 We
argue that adding a third status, nonparticipation, allows for a better account of worker
behavior.
In this paper, we conduct an accounting exercise of the role of worker ‡ows between
unemployment, employment, and labor force nonparticipation in the dynamics of the aggregate unemployment rate across four recent recessions: 1982–1983, 1990–1991, 2001, and
2007–2009. We show that, whereas it is su¢ cient to examine the ‡ows between employment
and unemployment to understand the dynamics of the unemployment rate during earlier recessions, the ‡ows between nonparticipation and unemployment matter for the dynamics of
the unemployment rate in the Great Recession. We also separately examine unemployment
rates by age and gender.
We use micro data from the Current Population Survey to construct six transition rates:
employment to unemployment, unemployment to employment, nonparticipation to employment, employment to nonparticipation, unemployment to nonparticipation, and nonparticipation to unemployment. Then we employ the in‡ow-out‡ow model of unemployment to
analyze the changes in the aggregate unemployment rate.
Our results suggest that the ‡ows between nonparticipation and unemployment play a
larger role in driving the changes in the aggregate unemployment rate during the 2007–2009
recession. We …nd that during earlier recessions, ‡ows between nonparticipation and the
labor force have a noticeable but economically small impact on the dynamics of the aggregate unemployment rate. In contrast, during the 2007-2009 recession these ‡ows matter.
In particular, for each recessionary episode we construct the counterfactual unemployment
rate consistent with constant transition rates in and out of nonparticipation. We …nd that
1

See seminal work by Darby, Haltiwanger, and Plant (1997), Fujita and Ramey (2009), Elsby, Michaels,

and Solon (2009), and Shimer (2012).

1

in the 2007–2009 recession, had ‡ows in and out of nonparticipation remained constant,
the aggregate unemployment rate would have increased by 3 percentage points, while the
actual unemployment rate increased by 5.5 percentage points. The ‡ows to and from nonparticipation also accounted for a substantial part of the persistence of unemployment during
the recovery. Two years after the 2009 unemployment peak, the counterfactual aggregate
unemployment rate would have been 2 percentage points higher than at the start of the rise
in unemployment, while the actual unemployment rate is 4 percentage points higher. In contrast, in the 1981–1982 recession, the counterfactual aggregate unemployment rate increases
by 2.5 percentage points, while the actual unemployment rate increased by 3.75 percentage
points. Two years after the 1982 unemployment peak, the counterfactual aggregate unemployment rate and the actual unemployment rate were equal to the rate at the start of the
rise in unemployment.2
Our accounting exercise attributes the discrepancy between the actual and the counterfactual unemployment rates to a larger than usual increase in the transition rate into unemployment from nonparticipation during 2007-2009 and to a lower than usual transition rate
from unemployment to nonparticipation in the recovery phase, de…ned as the two years after
the 2009 unemployment peak. Transition rates into unemployment, both from employment
and nonparticipation, typically increase during recessions and decrease during recoveries.
The opposite is true for the transition rates out of unemployment. During the 2007-2009
unemployment rise, the transition rate from nonparticipation to unemployment increased by
50%, compared to an increase of 11% during the 1981-1982 episode. Eight quarters after
the 2009 unemployment peak, the transition rate out of unemployment to nonparticipation
increased only by 12%, compared to an increase of 34% during the 1981-1982 episode.
We proceed to examine the unemployment rates and transition rates by age and gender. Comparing the 2007-2009 recession to the earlier periods, we …nd that the increase
in the aggregate unemployment rate is larger for all age and gender groups. Overall, the
patterns of relative changes in the unemployment rates across di¤erent demographic groups
are consistent with the patterns observed during the earlier recessions. In particular, the unemployment rate increased relatively more for men than for women. However, the recovery
for women was much slower than in the previous recessions. Examining the contribution of
di¤erent transition rates, we …nd that the aggregate patterns described above are pervasive,
with the transition rates between nonparticipation and unemployment playing an important
role in determining unemployment in the 2007-2009 recession across all demographic groups.
2

The unemployment rate is a nonlinear function of the six transition rates. Thus, our work shares the

same criticism as some other works (for example, Shimer (2012)) that the values of the counterfactual depend
on the values at which we …x the transition rates.

2

What accounts for the increased role of transition rates between nonparticipation and
unemployment during the Great Recession and afterward? One interpretation could be that
the reported changes re‡ect actual changes in the economic environment that contributed to
a shift in the incentives of looking for work compared to dropping out of the labor force. For
example, the relatively large drop in household wealth due to the stock market crash and the
devaluation of housing wealth that took place during 2007-2009 could have contributed to
an unusually large increase in the proportion of workers moving from out of the labor force
into unemployment. A second change in the environment was the extension of unemployment bene…ts during the Great Recession, which increased the incentive for workers to keep
searching in order to retain the bene…ts, thus contributing to an unusually low transition
rate from unemployment to nonparticipation after the 2009 unemployment peak.
This paper is related to the growing literature that studies the changes in the unemployment rate using gross ‡ow data. Among the notable works are Fujita and Ramey (2009),
Elsby, Michaels and Solon (2009) and Shimer (2012). The literature mostly focuses on understanding the importance of the roles of the transitions into and out of unemployment.
Our work brings attention to the importance of the transitions between unemployment and
nonparticipation in accounting for changes in the aggregate unemployment rate. The paper
is related to recent works that explicitly consider transitions between nonparticipation and
unemployment: the empirical papers include Petrongolo and Pissarides (2008), Elsby, Smith,
and Wadsworth (2011), Smith (2011), and Gomes (2012) for UK data, and Barnichon and
Figura (2012) for U.S. data; the theoretical contributions are Veracietro (2008) and Krusell,
Mukoyama, Rogerson, and Şahin (2012).
One important issue that we leave aside is the role of measurement error in employment
status. Earlier research by Abowd and Zellner (1985) and Poterba and Summers (1986)
argue that in any given month, a signi…cant number of unemployed in the CPS data are
misclassi…ed as nonparticipants. If true, this would introduce spurious transitions into employment state data; the more people who are unemployed, the greater the measurement
problem. To understand to what extent the misclassi…cation error has contributed to the
reported increased role of the transitions between nonparticipation and unemployment to
the changes in the aggregate unemployment rate, it is desirable to explore whether data on
‡ows between nonparticipation and unemployment are more prone to misclassi…cation error
during periods that are characterized by a high unemployment rate and a large share of
long-term unemployed as was the case in 2009-2011.3
3

Preliminary results by Hornstein (2012) …nd that if classi…cation errors are constant over time and

have the same structure as found by Poberta and Summers (1986), then the role of ‡ows in and out of
nonparticipation in accounting for unemployment in the Great Recession are in fact less than what we …nd.

3

The rest of the paper is organized as follows. Section 2 describes the data. Section
3 compares the behavior of the unemployment rate and transition rates during the Great
Recession to their behavior during earlier recessions. Section 4 presents the unemployment
accounting exercise, and Section 5 concludes.

2

Data

The data in the analysis come from the Current Population Survey (CPS) and cover the
period from January 1976 to December 2011.4 The CPS is a rotating panel of approximately
60,000 households. The households are interviewed for the same four consecutive months of
a year for two consecutive years. We match the records of individuals across two consecutive interview months using information on the month of interview, household identi…cation
number, and the number of the household at the address. To eliminate incorrect matches,
we use the procedure described in Shimer (2012).
We use the CPS labor status classi…cation to classify each member of the civilian noninstitutionalized population of age 16 or older as employed (E), unemployed (U ) or out of
the labor force (I). The distinction between unemployment and nonparticipation hinges on
whether the individual is considered to be actively seeking employment. Under the de…nition
used by the Bureau of Labor Statistics, a jobless adult (16 years and older) is unemployed in a
given week if he or she was available for work and “made speci…c e¤orts to …nd employment”
during that week or in the preceding three weeks. Otherwise, a jobless adult is considered a
nonparticipant; some examples include students, stay-at-home parents, and those who have
stopped actively searching for a job.
Using monthly matched records, we …rst construct monthly gross ‡ows ABt ; where A; B 2

fE; U; Ig. The gross ‡ow ABt is the number of individuals who in month t are in state A

and in month t + 1 are in state B. Following Shimer (2012), each individual is weighted by
the simple average of the CPS sample weights in t and t + 1. Second, we construct monthly
transition ‡ow rates, nAB
t , using gross ‡ows between t and t + 1 and stocks in t:
nAB
=
t

ABt+1
:
At

(1)

The stocks of E, U and I calculated from the matched ‡ows data do not necessarily coincide
with the stocks data published by the CPS. Sample attrition and the address-based structure
of the CPS result in approximately 90-92% of individual records being matched. In the paper
we employ the "missing at random" correction to adjust for measurement error, whereby the
4

December 2011 was the latest data point available at the time of research.

4

transitions are reweighted to match the population distribution (see, for example, Shimer
(2012)).5
We follow Shimer’s (2012) procedure to seasonally adjust the series and correct the
monthly transition rates for aggregation. Shimer treats the ‡ow transition rates in equation
(1) as elements of a discrete time transition matrix, nt . To obtain instantaneous transition rates, he constructs an instantaneous transition matrix
distinct, real and positive eigenvalues)

t

t,

where (provided that nt has

= pt et pt 1 , et is a diagonal matrix with diagonal

elements equal to the natural logarithm of the eigenvalues of nt , and pt is the matrix of
eigenvectors of nt . Thus, all transition rates that we report throughout this article are corrected for aggregation. Finally, we convert the monthly series into quarterly series by simple
averaging.

3

Unemployment Rate and Worker Transitions during
the Great Recession

3.1

Unemployment Rate

Table 1 reports the change in the unemployment rate during the four recent recessions and
the subsequent recoveries, de…ned as the two years following the unemployment peak. We
report the changes for the total population, and by gender and age. The increase in the
unemployment rate during 2007-2009 is the largest that took place during the last four
recessions. From the second quarter of 2007 to the fourth quarter of 2009 the aggregate
unemployment rate increased by 5.5 percentage points, from 4.5% to 10%. In contrast,
during the 1981-1982 recession, when unemployment reached its highest postwar rate of
10.9%, the total increase amounted to 3.5 percentage points, up from 7.4% in the third
quarter of 1981.
The patterns of the increase in the unemployment rates for di¤erent age and gender
groups during the 2007-2009 recession closely resemble the patterns during earlier recessions.
The absolute increase in the unemployment rate during recessions is typically larger for
younger workers, and the unemployment rate increases much more for males than for females.
In particular, during the 2007-2009 recession the unemployment rate among young workers
rose by 8.6 percentage points, from 10.4% to 19%, while among the 25-54-year-old workers,
the unemployment rate rose by 5.4 percentage points, from 3.7% to 9.1%. From 2007 to
5

Abowd and Zellner (1985) suggest a procedure that is based on constructing weights that minimize the

distance between stocks computed from ‡ows and stocks directly calculated from the CPS. Fujita and Ramey
(2006) allow these weights to di¤er over the sample period.

5

2009, the unemployment rate for males increased by 6.6 percentage points, compared to 4.3
percentage points for females.
Table 1 also shows the change in the unemployment rate during the two years after the
aggregate unemployment rate reached its peak in each recession episode, which we will refer
to as the recovery phase. From its 2009 peak, the aggregate unemployment rate declined by
1.3 percentage points. Such a decline is comparable to the declines after the 1990-1991 and
2001 unemployment rate peaks; however, it is smaller than the 3.5 percentage point decline
over the same time frame in the aftermath of the 1981-1982 recession.
During the …rst recovery phase, the unemployment rate typically declines most steeply
for younger workers, and the unemployment rate for males usually drops by a larger amount
than the rate for females. This is also the case in the aftermath of the 2007-2009 recession.
However, the gender di¤erence was particularly marked in the recovery of the 2007-2009
recession. While the unemployment rate for men fell by 2.1 percentage points, that of
women hardly declined (by 0.3 percentage points). In contrast, in the aftermath of the 19811982 recession, the unemployment rate for men fell by 3.9 percentage points, compared to a
3 percentage points fall of the unemployment rate for women.

3.2

Transition Rates

In this subsection we describe the behavior of the six transition rates: from employment
to unemployment (EU), from unemployment to employment (UE), from unemployment to
nonparticipation (UI), from nonparticipation to unemployment (IU), from nonparticipation
to employment (IE), and from employment to nonparticipation (EI). First, we show that,
as compared to the transition rates between employment and unemployment, the transition
rates between nonparticipation and either employment or unemployment are substantial,
both in their magnitude and volatility. Second, we describe the behavior of all six rates
around the last four recessions.
Figure 1 shows six aggregate transition rates, and Table 2 contains the average transition rates for the economy on aggregate, by gender, and by age. The transition rates
between nonparticipation and labor force are large. In particular, the nonparticipation-tounemployment and unemployment-to-nonparticipation transition rates are almost as large
(and for some demographic groups even larger) than the employment-to-unemployment and
unemployment-to-employment transition rates.
For example, on average, the aggregate nonparticipation-to-unemployment transition rate
is higher (3.6%) than the aggregate employment-to-unemployment transition rate (2%), i.e.,
on average a worker out of the labor force is more likely to transition into unemployment

6

than an employed worker. This holds true for the economy in aggregate and for all genderage groups. The same is true on aggregate (but not necessarily for each individual group) in
the opposite direction. A worker has a higher probability of transitioning from employment
to nonparticipation (4.3%) than from employment to unemployment (2%). The transition
rates between nonparticipation and labor force are particularly large for young workers.
We can decompose each transition rate into its trend and cyclical components by taking
the natural logarithm of the series and then …ltering the series using an HP-…lter with a
smoothing parameter 105 . The cyclical component of the series is de…ned as the deviations
of the logged series from the HP-…ltered trend. Table 3 contains the standard deviations
of the cyclical components of the six transition rates. The cyclical components of the transition rates between nonparticipation and labor force are almost as volatile as the cyclical
components of the transition rates between employment and unemployment. In particular,
during 1976-2011, the standard deviation of the cyclical component of the employmentto-unemployment rate is 8.3%, and the standard the deviation of the unemployment-toemployment rate is 14.9%. For comparison, the standard deviation of the cyclical component
of the nonparticipation-to-unemployment rate is 8.3%, and the standard the deviation of the
unemployment-to-nonparticipation rate is 11%. Also, note that the cyclical component of
each of the six transition rates is more volatile for older than for younger workers.
The summary statistics in Tables 2-3 show that studying the behavior of transition rates
between nonparticipation and participation in the labor force is important for understanding
of the functioning of the labor market. We proceed to examining the behavior of each rate
around recessions.
3.2.1

Transition Rates around Recessions

Tables 4 - 9 contain changes for each of the six transition rates around the last four recessions.
We start by discussing the in‡ows to unemployment. Unemployed workers are either
workers who were previously employed, or adults who were out of the labor force and decided
to look for a job. The transition rate into unemployment from employment (the rate of job
loss) increases during economic contractions and decreases during recoveries. Likewise, the
transition rate into unemployment from nonparticipation (workers joining the labor force)
also increases during economic contractions and decreases during recoveries.
Table 4 shows that during the 2007-2009 recession, the employment-to-unemployment
rate increased by 30.7%, while during the 1981-1982 episode it increased by 20.2%. There are
some more notable di¤erences in the increase by demographic groups. The largest increase
in the employment-to-unemployment rate in the 2007-2009 recession was for 25-54-year-

7

old workers, while during earlier recessions the largest increase in the rate was for 55-64year-old workers. The employment-to-unemployment rate is usually less cyclical for women
than for men. However, in the 2007-2009 recession it increased disproportionately more for
men (by 48%) than for women (by 9.6%). Two years after the 2009 unemployment peak,
the employment-to-unemployment rate declined by 12.6%, with almost all of the decline
attributable to prime-working-age and older men. Notably, during the 2007-2009 recovery
the employment-to-unemployment rate for younger workers actually increased, especially for
young women.
While the increase in the aggregate employment-to-unemployment rate during the 20072009 recession was comparable to the increases during earlier recessions, the increase in the
aggregate nonparticipation-to-unemployment rate was unprecedentedly large. Table 5 shows
that the aggregate nonparticipation-to-unemployment rate increased by 49.6%, while during
the 1981-1982 recession it increased by 10.5%. The increase for the prime-working-age and
young workers was particularly large. The increase in the rate for the 55-64-year-old workers,
while much larger than in the 1981-82 episode, was comparable to the increase for this age
group in the 1990-1991 and 2001 recessions. Also, the increase in the nonparticipation-tounemployment rate was heavily concentrated among men. In the recovery phase from the
2007-2009 recession, the nonparticipation-to-unemployment rate declined by 7.2%, which
was mostly driven by the decline in the rate for young and prime-working-age men. There
was no decline in the nonparticipation-to-unemployment rate during this period for primeworking-age women.
We now turn to transitions out of unemployment, as unemployed workers either …nd jobs
or drop out of the labor force. Again, there is co-movement in the two rates, with both the
transition rates from unemployment to employment (job …nding) and to nonparticipation
(out of labor force) decrease during economic contractions and increase during recoveries.
Table 6 shows that during the 2007-2009 recession, the unemployment-to-employment rate
decreased by 46.0%, while during the 1981-1982 recession it decreased by 28.3%. During
the 2007-2009 recession, the aggregate unemployment-to-employment rate reached its lowest
level since 1976. In the subsequent recovery, the UE rate increased slowly, by 13.9%, compared to the increase of 32.4% two years after the 1981-1982 peak. The recovery from the
2007-2009 recession followed the jobless pattern of the previous two recessions. It has been
particularly jobless for prime-working-age women. In contrast, women had as strong of a
recovery in the unemployment-to-employment rate as men in the earlier recessions.
Up until the 2007-2009 recession, unemployed workers were more likely to …nd a job than
to drop out of the labor force, with the aggregate unemployment-to-employment rate exceeding the aggregate unemployment-to-nonparticipation rate, a fact re‡ected in the sample
8

average (Table 2). After the fourth quarter of 2008, this relationship is reversed, with unemployed workers being more likely to drop out of the labor force than to …nd a job (Figure 1).
However, this is not because workers were relatively more likely than usual to drop out of the
labor force, in fact the opposite is true. After the 2009 unemployment peak, both rates were
depressed. Table 7 shows that in the recovery phase, the transition rate from unemployment
to nonparticipation failed to pick up compared to the earlier recession episodes. In particular,
after the 2007-2009 unemployment peak, the UI rate increased by 11.5%, while it increased
by 34.2% two years after the 1981-1982 peak. Compared to the post 1981-1982 recovery, the
unemployment-to-nonparticipation rate is particularly depressed among prime-working-age
men (an increase of only a 18.5% compared to 72.5% after the 1981-1982 recession), 16-24year-old men (an increase of only a 2.6% compared to 47.4% after the 1981-1982 recession),
and 55-64-year-old women (an increase of only a 0.7% compared to 35.8% after the 1981-1982
recession).
Lastly, we report the transition rates between nonparticipation and employment. Table 8 shows that during the 2007-2009 recession, the nonparticipation-to-employment rate
decreased at a rate comparable to the decrease during the 1981-1982 recession. However,
two years after the 2007-2009 unemployment peak, the IE rate increased by 0.2%, while it
increased by 13.4% two years after the 1981-1982 peak. The transitions are particularly depressed among the prime-working-age group: two years into the recovery the IE rate for the
prime-working-age group actually decreased by 8.8%, while after the 1981-1982 recession it
increased by 16.4%. Table 9 shows that the behavior of the employment-to-nonparticipation
transition rate in the 2007-2009 recession is similar to its behavior in the earlier recessions.
Summarizing, the data indicate that, compared to previous recessions, the 2007-2009
recession is characterized by a particularly large increase in the unemployment rate and by
a particularly slow decline in the unemployment rate from its peak. The employment-tounemployment transition rate increased by a larger percentage than in the earlier recessions,
and the burden of the increase was on 25-54-year-old workers compared to the 55-64-year-old
workers, as was the case in earlier recessions. In the opposite direction, the unemploymentto-employment transition rate decreased by a larger percentage than in the earlier recessions
and the decline was widespread. In comparison, the changes in the transition rates between
nonparticipation and labor force during the 2007-2009 recession have been particularly striking. First, the nonparticipation-to-unemployment transition rate increased by a much larger
percent than during earlier recessions. Second, the unemployment-to-nonparticipation transition rate did not pick up after the 2009 unemployment peak as fast as after earlier recessions.

9

4

Contribution of Worker Flows to Changes in Unemployment

4.1

In‡ow-Out‡ow Model of Unemployment

The in‡ow-out‡ow model of unemployment allows linking changes in the unemployment rate
to changes in the transition rates between unemployment, employment, and nonparticipation. In this section we summarize the model presented in Fujita and Ramey (2009), Elsby,
Michaels and Solon (2009), and Shimer (2012), among others.
Consider an economy populated by a continuum of individuals. Each individual can be
employed, unemployed, or out of labor force. Time is continuous. The transitions between
two states A and B are governed by a Poisson process with Poisson transition rate

AB

,

where A; B = fE; U; I; A 6= Bg. An econometrician observes the economy at discrete time

intervals t = f0; 1; 2::g. Assume that the Poisson transition rates between A and B are
constant between t

1 and t and equal to

AB
t .

In this economy the law of motions for unemployment and employment, respectively, are
dUt
=
Ut

EU
t Et

+

IU
t It

(

UE
t

UI
t )Ut :

+

(2)

dEt
= Ut E Ut + IE
( EU
+ EI
(3)
t It
t
t )Et :
Et
Shimer (2012) and Petrongolo and Pissarides (2008), among others, note that because
the transition rates are large, the unemployment rate converges to its steady state within a
period. Thus, we can approximate changes in the actual unemployment rate with changes
in its steady state values. In steady state, set

dEt
Et

dUt
Ut

=

EU
t
EU
+ EI
t
t
EI
t
EU
+ EI
t
t

:

(4)

UE
t
UE
I
+ U
t
t
UI
t
UE
I
+ U
t
t

:

(5)

= 0 and rearrange (2) and (3) to

obtain steady state values, Ut and Et , i.e.,
Ut = It

Et = It

IU
t

+

IE
t

UI
t

+

UE
t

IE
t

+

IU
t

EI
t

+

EU
t

Using (2) and (3) yields the following expression for the steady state unemployment rate,
ut

Ut
:
Ut +Et

ut =

EU
t

IU
t

+

EU
t

EI IU
EU IU
EU IE
t
t + t
t + t
t
IE
EI IU
U E IU
U E IE
t + t
t + t
t
t + t

10

+

U I IE
t
t

:

(6)

4.2

Unemployment Accounting

Equation (6) is the key equation in accounting for the dynamics of the unemployment rate.
To calculate the contributions of the di¤erent transition rates to changes in the unemployment rate, we use (6) and construct counterfactual unemployment rates. For example, to
estimate how much of the change in the unemployment rate can be associated with the
change in the employment-to-unemployment transition rate, we generate an unemployment
rate in equation (6) by using the actual values of the employment-to-unemployment transition rate while holding the remaining …ve transition rates constant.6 Such an exercise is
similar to the exercises performed Pissarides (1986) and Shimer (2012).
The main focus of our analysis is on the contribution of the transitions between nonparticipation and labor force to changes in the unemployment rate. To gauge the e¤ect of
these transitions, we …rst construct the counterfactual unemployment rate driven only by
the changes in the transition rates between employment and unemployment, ut EU;U E , and
examine how much of the changes in the actual unemployment rate can be attributed to the
changes in this counterfactual rate.
Our main result is shown in Figure 2. The broken lines in the …gure show the change in the
aggregate unemployment rate for each of the four most recent recessions, measured against
the quarter when the unemployment rate began its rise. Each line continues until eight
quarters after the unemployment peak.7 The solid lines show counterfactual unemployment
rates in which the contributions of transitions into and out of nonparticipation are held
constant at their levels at the beginning of the rise in the aggregate unemployment rate.
All four recessions begin with a period in which the aggregate unemployment rate and the
counterfactual unemployment rate generally track each another closely, except for the period
close to the peak of the actual unemployment rate. For the 2007-2009 recession, however,
starting in 2009, the gap between the actual and counterfactual unemployment rates quickly
climbs to 50 percent of the change in the actual rate. Eight quarters into recovery after
the 2007-2009 recession, the gap is still 50 percent, while in the previous recessions, it was
almost nonexistent.
The gap between the two lines in Figure 2 represents the change in the aggregate unemployment rate not accounted for by the transitions between unemployment and employment.
These results show that up to the 2001 recession, it was possible to account for almost the
entire change in the unemployment rate without accounting for the transitions between non6

Note that the unemployment rate in equation (6) is a non-linear function of the transition rates. Hence,

the change in the counterfactual unemployment rate depends both on the change in the transition rate that
is being varied and on the values at which the remaining transition rates are …xed.
7
The start and end dates thus di¤er slightly from NBER-determined recession dates.

11

participation and labor force. This was no longer true in the 2007-2009 recession. In the
2007–2009 recession, the transitions between employment and unemployment would have
implied an umemployment rate increase of 3 percentage points, while the actual unemployment rate increase was 5.5 percentage points. Two years after the 2009 unemployment peak,
the transitions between employment and unemployment would have implied the unemployment rate 2 percentage points higher than at the start of the unemployment rise, while the
actual unemployment rate is 4 percentage points higher. In contrast, two years after the 1982
unemployment peak, the actual unemployment rate and the counterfactual unemployment
rate driven by the transitions between employment and unemployment are equal to the rate
at the start of the rise.
To analyze the individual contributions of each of the four transition rates between nonparticipation and labor force, we construct additional counterfactuals, varying one transition
rate and keeping the other …ve at their starting levels. The resulting counterfactuals are
shown in Figure 3. As in Figure 2, for each recession we plot the period from the quarter when the unemployment rate began its rise to eight quarters after the unemployment
peak. Within each period, each of the six lines shows counterfactual unemployment rates
corresponding to one of the six possible transitions.
Figure 3 shows that at the beginning of each recession the changes in the aggregate unemployment rate are driven by the increase in the employment-to-unemployment transition rate
and the decrease in the unemployment-to-employment transition rate. The counterfactual
unemployment rate driven by the employment-to-unemployment transition rate starts declining half way during the increase in the actual unemployment rate, while the unemploymentto-employment transition rate keeps driving the increase in the unemployment rate until the
unemployment rate peaks.
Figure 3 shows that a year into the 2007-2009 recession, the increase in the counterfactual unemployment rate driven by the nonparticipation-to-unemployment transition rate
exceeds the increase in the counterfactual unemployment rate driven by the employment-tounemployment transition rate. The …gure also shows that the counterfactual unemployment
rates driven by the nonparticipation-to-unemployment and unemployment-to-nonparticipation
rates remain almost unchanged after 2009. This suggests that the decline in the unemployment rate after its 2009 peak was mostly driven by the changes in the unemploymentto-employment and employment-to-unemployment transition rates, while the changes in
the nonparticipation-to-unemployment and unemployment-to-nonparticipation rates contributed to a slowdown of the decline.
The results in Figure 3 can be tracked back to the description of the behavior of the transition rates in Section 3. In particular, the unusually large increase of the nonparticipation12

to-unemployment transition rate during 2007-2009 and the failure of the unemploymentto-nonparticipation rate to pick up after the 2009 unemployment peak have contributed to
an increase of the aggregate unemployment during 2007-2009 and its slow decline in the
aftermath.

4.3

Unemployment Accounting by Gender and Age

To understand whether the results above are driven by a particular demographic group or
represent a wide-spread phenomenon, we repeat the counterfactual unemployment exercises
by age and gender. Figure 4 shows the extent to which only the ‡ows between employment
and unemployment can explain the change in the unemployment rate by age and gender
around recessions. The pattern observed in the economy on aggregate carries through to
all age and gender groups. In particular, in contrast to the earlier recessions, in the 20072009 recession, the transition rates between nonparticipation and labor force account for
a large share of the changes in the unemployment rate of di¤erent demographic groups.
Figure 4 shows that the gap between the actual unemployment rate and the counterfactual
unemployment driven by the transitions between employment and unemployment is larger for
females than for males. It also shows that in the 2007-2009 recession the gap is particularly
pronounced for 55-64-year-old workers; however, for this age group the gap had already
been increasing in the 2001 recession. For 16-24 and 25-54-year-old workers, the 2007-2009
recession is the …rst one in which the transitions between nonparticipation and labor force
accounted for a signi…cant share of the changes in the unemployment rates of these groups.
Figure 5 shows the counterfactual unemployment rates driven by each of the six transition
rates for di¤erent age and gender groups. The contribution of each of the six transition rates
to the unemployment rate di¤ers by age and gender. However, for all groups we observe an
increased importance of the transitions between nonparticipation and labor force in driving
the changes of the unemployment rate during the 2007-2009 recession.

5

Discussion and Conclusion

We …nd that non-participation decisions matter for the unemployment rate dynamics in the
2007-2009 recession, while it was not the case during the earlier recessions. In particular,
the transition rate into unemployment from nonparticipation increased sharply during 20072009, while the transition rate out of unemployment to nonparticipation failed to pick up
after 2009 at a rate comparable to the earlier recoveries. What can explain the increased role
of transition rates between nonparticipation and unemployment during the Great Recession
13

and afterward?
One view is that the changes re‡ect an increased number of marginally attached workers,
i.e., workers who want a job but are not looking for one at the time of the survey and thus
they are not counted as being in labor force. Since marginally attached workers do not look
for jobs consistently, they might often switch between being categorized as unemployed and
being categorized as out of the labor force. However, it is unlikely that such behavior can
entirely explain, for example, the reported increase in the nonparticipation-to-unemployment
transition rate during 2007-2009 because the data do not show a corresponding increase of
unemployment-to-nonparticipation transition rate during a similar time period.
A closely related issue is the misclassi…cation error identi…ed by Poterba and Summers
(1986) and Abowd and Zellner (1985). They argue that in any given month, a signi…cant
number of unemployed are misclassi…ed as nonparticipants. If true, this would introduce
spurious transitions into employment state data; the more people who are unemployed, the
greater the measurement problem. Recently, Hornstein (2012) applies the correction matrix
from Poterba and Summers (1986) to the 2007-2011 gross ‡ow data and does not …nd a
substantially increased role of the ‡ows between nonparticipation and unemployment during
the Great Recession. For future work, it is important to obtain new data on the classi…cation
error during 2007-2011 and explore whether the data on ‡ows between nonparticipation and
labor force are more prone to misclassi…cation error during the periods of high unemployment.
Lastly, the reported changes can re‡ect actual changes in the economic environment
that contributed to a shift in the incentives between looking for work and dropping out of
the labor force. With regard to the transitions from nonparticipation to unemployment,
one such change is a relatively large drop in household wealth due to the stock market
crash and to the devaluation of housing wealth during the 2007-2009 recession (see Şahin,
Song, and Hobijn (2010), who …rst noted the increased transition rate of nonparticipation
to unemployment among men aged 25 to 54.) Alternatively, the fact that the transition rate
from unemployment to nonparticipation did not pick up after the 2009 unemployment peak
as it did after the earlier recessions could be due to the extension of unemployment bene…t
eligibility, since often workers will be required to report that they are searching for jobs in
order to remain eligible. More research is needed to sort out the possible explanations of
the increased role of the ‡ows between nonparticipation and unemployment in accounting
for the changes in the unemployment rate during the Great Recession.

14

References
[1] Abowd, John M., and Arnold Zellner. 1985. "Estimating Gross Labor-Force Flows,"
Journal of Business and Economic Statistics, Vol. 3 (3): 254-283.
[2] Barnichon, Regis, and Andrew Figura. 2012. "The Determinants of the Cycles and
Trends in US Unemployment, " mimeo.
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[9] Gomes, Pedro. 2012. "Labour Market Flows: Facts from the United Kingdom, " Labour
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[10] Hornstein, Andreas. 2012. "Spurious Transitions: The Impact of Classi…cation Error on
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Labor Supply Important for Business Cycles?," National Bureau of Economic Research
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15

[12] Petrongolo, Barbara, and Christopher A Pissarides. 2008. "The Ins and Outs of European Unemployment," American Economic Review: Papers and Proceedings 2008, 98
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[13] Pissarides, Christopher A . 1986. "Unemployment and Vacancies in Britain, " Economic
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Market Dynamics," Econometrica, Vol. 54 (6): 1319-1338.
[15] Şahin, Ayşegül, Joseph Song, and Bart Hobijn. 2010. "The Unemployment Gender Gap
during the 2007 Recession," FRBNY Current Issues, Vol. 16 (2).
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of Economic Dynamics, Vol. 15 (6): 1319-1338.
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16

17
7.8
14.0
6.2
3.7

6.5
12.2
5.4
3.7

7.4
14.5
5.6
3.6
7.1
15.0
5.2
3.6

5

6.5
13.7
5.1
4.1

6.5
13.0
5.2
3.9

10.5
18.0
8.8
5.6

11.1
20.8
9.2
6.0

10.9
19.5
9.0
5.9

Q3 1981 Q4 1982

2.7
4.0
2.6
1.9

4.0
5.8
3.9
2.4

3.5
4.9
3.4
2.2

-3.0
-4.9
-2.5
-1.2

-3.9
-6.5
-3.5
-1.3

-3.5
-5.7
-3.1
-1.3

Q4 1982Q4 1984
9

5.3
10.6
4.4
2.5

5.4
11.4
4.3
3.4

5.4
11.1
4.3
3.0

7.2
13.5
6.0
4.8

7.9
14.9
6.7
6.0

7.6
14.3
6.4
5.5

Q2 1990 Q3 1992

1.8
2.9
1.6
2.3

2.5
3.4
2.4
2.6

2.2
3.2
2.0
2.4

-1.3
-1.9
-1.1
-1.2

-1.8
-1.9
-1.9
-1.7

-1.5
-1.9
-1.5
-1.5

Q3 1992Q3 1994
10

3.9
8.4
3.1
2.4

4.0
9.8
2.9
2.8

3.9
9.1
3.0
2.7

5.8
11.8
5.0
3.8

6.5
13.9
5.3
4.9

6.2
12.9
5.1
4.4

Q4 2000 Q2 2003

2.0
3.4
1.9
1.4

2.4
4.2
2.3
2.1

2.2
3.8
2.2
1.7

-0.6
-1.4
-0.5
-0.4

-1.4
-1.5
-1.4
-1.7

-1.0
-1.5
-1.0
-1.1

Q2 2003Q2 2005
10

4.4
9.2
3.8
2.8

4.6
11.6
3.5
3.1

4.5
10.4
3.7
3.0

8.7
15.7
7.9
6.2

11.2
22.1
10.0
8.2

10.1
19.0
9.0
7.3

Q2 2007 Q4 2009

Notes: The series are quarterly averages of monthly series, constructed from CPS microdata. See text for details.

All
16 +
16-24
25-54
55-64
Males
16 +
16-24
25-54
55-64
Females
16 +
16-24
25-54
55-64

Q1 1976 Q4 2011

4.3
6.5
4.1
3.5

6.6
10.5
6.5
5.1

5.5
8.6
5.4
4.3

-0.3
-0.9
-0.2
-0.4

-2.1
-3.6
-2.1
-1.3

-1.3
-2.3
-1.2
-0.8

Q4 2009Q4 2011

Recessions
1981-1982
1990-1991
2001
2007-2009
Unemployment rate
Unemployment rate
Unemployment rate
Unemployment rate
Period At the At the
Total
TwoPeriod At the At the
Total
TwoPeriod At the At the
Total
TwoPeriod At the At the
Total
TwoAverage
of the start of end of change
year
of the start of end of change
year
of the start of end of change
year
of the start of end of change
year
unemplo
agg. Un. the rise the rise during change agg. Un. the rise the rise during change agg. Un. the rise the rise during change agg. Un. the rise the rise during change
yment
rate
the rise after
rate
the rise after
rate
the rise after
rate
the rise after
rate
rise, q
agg. un. rise, q
agg. un. rise, q
agg. un. rise, q
agg. un.
rate
rate
rate
rate
peak
peak
peak
peak

Table 1: The Unemployment Rate, by Recession, percent

Table 2: Average Flow Transition Rates, Q1 1976 - Q4 2011, percent
Unemploy
ment rate
All
16 +
16-24
25-54
55-64
Males
16 +
16-24
25-54
55-64
Females
16 +
16-24
25-54
55-64

Inflows
EU

Outflows
IU

UE

UI

Between employment
and inactivity
EI
IE

6.5
13.0
5.2
3.9

2.0
4.3
1.6
1.1

3.6
11.1
5.6
1.5

35.6
39.1
34.1
28.7

31.1
44.2
25.4
28.6

2.8
6.6
1.7
2.9

4.3
9.8
6.5
3.1

6.5
13.7
5.1
4.1

2.2
5.0
1.8
1.2

4.5
12.3
9.6
2.0

37.0
39.8
36.4
28.9

24.8
39.1
17.3
24.7

2.1
6.1
0.9
2.3

5.1
10.9
9.0
3.5

6.5
12.2
5.4
3.7

1.8
3.6
1.4
1.0

3.2
10.3
4.8
1.2

33.7
38.3
31.1
28.8

39.3
51.2
35.6
35.6

3.8
7.3
2.7
3.8

4.0
9.0
5.9
2.9

Notes: Means of the corrected for aggregation quarterly averages of seasonally adjusted monthly
series. Authors’calculations using gross ‡ows from CPS microdata. See text for details.

18

Table 3: Standard Deviation of the Cyclical Component of Flow Transition
Rates, 1976 - 2011, percent
Inflows
EU
All
16+
16-24
25-54
55-64
Males
16+
16-24
25-54
55-64
Females
16+
16-24
25-54
55-64

Between Employment
and Inactivity
EI
IE

Outflows
IU

UE

UI

8.3
7.2
10.9
14.7

8.3
8.0
9.9
17.1

14.9
14.7
15.5
19.0

11.0
7.6
13.5
17.4

4.8
6.4
5.6
6.9

6.7
9.8
7.2
8.7

10.6
9.2
14.2
18.4

9.7
9.9
12.5
21.0

15.7
16.1
16.6
21.1

13.5
10.2
16.2
21.8

5.6
7.4
7.6
9.1

7.8
11.9
10.2
11.1

7.2
8.9
9.4
20.0

8.3
8.6
10.0
18.3

14.9
14.6
15.9
22.5

8.3
6.9
10.4
20.3

5.4
7.6
6.4
8.8

6.9
10.2
7.4
9.8

Notes: The cyclical component is calculated as the di¤erence between the natural logarithm of
the series and the corresponding HP-…ltered trend. The series are HP-…ltered with a smoothing
parameter of

105 .

19

Table 4: Employment-to-unemployment Transition Rates, by Recession
1981-1982
1990-1991
2001
2007-2009
Period
Period
Period
Period
2-year
2-year
2-year
2-year
Change
Change
Change
Change
of the
of the
of the
of the
change
change
change
change
At the
At the
At the
At the
during
during
during
during
Average aggrega
aggrega
aggrega
aggrega
after
after
after
after
start of
start of
start of
start of
the rise,
the rise,
the rise,
the rise,
rate
te u
te u
te u
te u
the
the
the
the
the rise
the rise
the rise
the rise
%
%
%
%
rate
rate
rate
rate
peak, %
peak, %
peak, %
peak, %
rise, q
rise, q
rise, q
rise, q
Q3 1981- Q4 1982Q3 1981 Q4 1982 Q4 1984
All
16 +
16-24
25-54
55-64
Males
16 +
16-24
25-54
55-64
Females
16 +
16-24
25-54
55-64

2.0
4.3
1.6
1.1

5

2.3
4.7
1.8
1.1

20.2
12.4
27.8
50.4

-20.9
-13.5
-23.5
-38.9

2.2
4.9
1.7
1.2

2.5
5.3
1.9
1.1

20.9
8.7
34.3
39.4

1.8
3.6
1.4
1.0

2.1
3.9
1.6
1.1

18.4
19.2
17.2
65.5

Q2 1990Q2 1990 Q3 1992
9

Q3 1981- Q2 2003Q3 1981 Q4 1982 Q2 2005

2.0
4.4
1.5
1.1

6.9
14.6
6.5
10.7

-2.2
-10.6
0.2
4.5

-18.6
-0.1
-25.7
-44.5

2.1
4.9
1.7
1.2

9.7
15.7
9.8
10.6

-25.7
-34.0
-20.8
-32.2

1.7
3.7
1.3
0.9

2.6
12.7
1.3
8.2

10

1.6
3.8
1.2
0.8

17.8
0.0
31.9
58.2

-7.0
4.1
-9.7
-22.8

-8.2
-10.1
-10.0
-5.1

1.7
4.3
1.3
1.0

14.2
-0.5
26.0
53.1

6.8
-10.8
15.6
19.1

1.4
3.3
1.0
0.6

22.8
-0.8
40.5
75.4

Q2 2007- Q4 2009Q2 2007 Q4 2009 Q4 2011
10

1.6
3.8
1.3
1.0

30.7
5.6
51.9
30.1

-12.6
1.3
-17.2
-17.1

-8.9
9.8
-13.8
-29.2

1.7
4.4
1.3
1.0

48.0
17.2
74.9
56.4

-17.1
-9.0
-18.9
-26.6

-5.6
-3.4
-6.2
-17.1

1.5
3.2
1.2
1.0

9.6
-9.4
25.0
2.7

-5.0
20.2
-14.1
-0.2

Notes: The series are quarterly averages of seasonally adjusted monthly series constructed from
the gross ‡ows using the CPS microdata and corrected for aggregation using Shimer (2012)
procedure.

Table 5: Nonparticipation-to-unemployment Transition Rates, by Recession
1981-1982
1990-1991
2001
2007-2009
Period
Period
Period
Period
2-year
2-year
2-year
2-year
of the
of the
of the
of the
Change
Change
Change
Change
change
change
change
change
At the
At the
At the
At the
aggrega
aggrega
aggrega
Average aggrega
during
during
during
during
after
after
after
after
start of
start of
start of
start of
te u
te u
te u
te u
rate
the rise,
the rise,
the rise,
the rise,
the
the
the
the
the rise
the rise
the rise
the rise
rate
rate
rate
rate
%
%
%
%
peak, %
peak, %
peak, %
peak, %
rise, q
rise, q
rise, q
rise, q
Q3 1981- Q4 1982Q3 1981 Q4 1982 Q4 1984
All
16 +
16-24
25-54
55-64
Males
16 +
16-24
25-54
55-64
Females
16 +
16-24
25-54
55-64

3.6
11.0
5.5
1.4

5

3.8
12.2
5.3
1.1

10.5
7.7
15.3
11.5

-3.2
-4.6
5.6
20.8

4.5
12.2
9.5
2.0

5.0
14.7
11.8
1.5

12.3
0.0
17.9
23.4

3.2
10.2
4.7
1.2

3.4
10.8
4.5
1.0

9.5
13.7
11.1
5.0

Q2 1990Q2 1990 Q3 1992
9

Q3 1981- Q2 2003Q3 1981 Q4 1982 Q2 2005

3.2
10.1
5.7
0.9

16.9
14.7
13.3
99.6

12.2
10.6
8.9
6.8

-3.3
3.0
2.1
28.5

3.7
11.0
9.7
1.0

22.1
21.0
16.4
158.6

-4.9
-13.0
5.4
12.2

3.0
9.6
4.9
0.8

12.1
7.9
11.3
49.3

10

3.0
10.7
4.4
1.0

19.6
2.4
28.5
81.1

-9.9
-10.4
-11.6
-23.8

11.1
5.8
-3.0
-0.2

3.8
11.4
7.1
1.2

19.5
2.2
33.2
88.5

11.3
14.3
8.7
11.5

2.6
10.1
3.6
0.8

19.1
2.1
23.1
71.3

Q2 2007- Q4 2009Q2 2007 Q4 2009 Q4 2011
10

2.9
7.5
4.8
1.3

49.6
31.7
57.9
80.9

-7.2
-13.2
-5.4
3.0

-14.0
-7.4
-25.0
-34.5

3.5
8.8
6.5
1.5

59.0
28.9
86.1
89.1

-14.5
-16.6
-16.1
-2.9

-6.4
-13.5
-1.3
-10.7

2.5
6.4
4.2
1.2

41.1
34.3
38.8
70.1

-0.7
-9.6
1.5
9.7

Notes: The series are quarterly averages of seasonally adjusted monthly series constructed from
the gross ‡ows using the CPS microdata and corrected for aggregation using Shimer (2012)
procedure.

20

Table 6: Unemployment-to-Employment Transition Rates, by Recession
1981-1982
1990-1991
2001
2007-2009
Period
Period
Period
Period
2-year
2-year
2-year
2-year
of the
of the
of the
of the
Change
Change
Change
Change
change
change
change
change
At the
At the
At the
At the
aggrega
aggrega
aggrega
during
during
during
during
Average aggrega
after
after
after
after
start of
start of
start of
start of
te u
te u
te u
te u
the rise,
the rise,
the rise,
the rise,
rate
the
the
the
the
the rise
the rise
the rise
the rise
rate
rate
rate
rate
%
%
%
%
peak, %
peak, %
peak, %
peak, %
rise, q
rise, q
rise, q
rise, q
Q3 1981- Q4 1982Q3 1981 Q4 1982 Q4 1984
All
16 +
16-24
25-54
55-64
Males
16 +
16-24
25-54
55-64
Females
16 +
16-24
25-54
55-64

34.9
38.4
33.4
28.0

5

33.9
34.9
32.5
28.8

-28.3
-27.4
-28.1
-22.4

32.4
43.2
30.2
-15.9

36.3
38.9
35.7
28.0

35.4
35.7
35.1
28.8

-31.9
-32.0
-30.6
-33.1

33.0
37.6
30.4
27.8

31.8
33.7
29.1
29.0

-23.4
-20.5
-25.0
-6.9

Q2 1990Q2 1990 Q3 1992
9

Q3 1981- Q2 2003Q3 1981 Q4 1982 Q2 2005

39.8
43.0
38.4
33.3

-24.7
-11.6
-29.7
-39.2

25.2
13.4
30.6
37.0

38.8
56.8
33.5
-0.8

40.3
42.6
40.4
31.0

-23.7
-9.4
-30.5
-29.8

24.6
27.4
26.9
-33.7

39.1
43.6
35.8
37.9

-26.9
-15.0
-30.0
-55.1

10

46.7
51.1
45.1
33.6

-32.7
-27.1
-33.2
-36.5

16.2
5.1
18.8
43.5

23.2
16.3
26.4
7.5

48.7
48.7
49.8
37.7

-34.4
-19.1
-39.2
-44.7

27.8
9.5
37.6
83.9

44.2
53.6
39.8
29.5

-30.2
-35.8
-24.0
-26.3

Q2 2007- Q4 2009Q2 2007 Q4 2009 Q4 2011
10

36.6
38.3
36.2
29.5

-46.0
-49.2
-43.1
-49.2

13.9
31.3
9.5
21.5

18.8
-2.9
26.7
61.8

37.5
36.8
38.6
28.5

-45.7
-49.9
-43.8
-45.7

18.5
37.3
19.5
5.8

12.5
16.0
9.5
23.6

35.4
40.7
33.1
30.9

-46.6
-48.3
-42.8
-53.4

8.0
22.3
-2.1
42.5

Notes: The series are quarterly averages of seasonally adjusted monthly series constructed from
the gross ‡ows using the CPS microdata and corrected for aggregation using Shimer (2012)
procedure.

Table 7: Unemployment-to-Nonparticipation Transition Rates, by Recession
1981-1982
1990-1991
2001
2007-2009
Period
Period
Period
Period
2-year
2-year
2-year
2-year
of the
of the
of the
of the
Change
Change
Change
Change
change
change
change
change
Average
At the
At the
At the
At the
aggrega
aggrega
aggrega
aggrega
during
during
during
during
after
after
after
after
ln(flow
start of
start of
start of
start of
te u
te u
te u
te u
the rise,
the rise,
the rise,
the rise,
the
the
the
the
rate)
the rise
the rise
the rise
the rise
rate
rate
rate
rate
%
%
%
%
peak, %
peak, %
peak, %
peak, %
rise, q
rise, q
rise, q
rise, q
Q3 1981- Q4 1982Q3 1981 Q4 1982 Q4 1984
All
16 +
16-24
25-54
55-64
Males
16 +
16-24
25-54
55-64
Females
16 +
16-24
25-54
55-64

30.8
43.8
25.1
28.0

5

29.3
37.6
24.4
24.7

-24.3
-12.9
-32.6
-12.7

34.2
20.6
54.3
26.5

24.3
38.5
16.8
23.8

22.3
33.3
14.3
21.9

-31.9
-23.7
-37.0
-21.5

39.2
51.0
35.3
34.6

38.7
43.8
37.8
31.2

-15.9
-0.5
-26.7
-6.9

Q2 1990Q2 1990 Q3 1992
9

Q3 1981- Q2 2003Q3 1981 Q4 1982 Q2 2005

29.6
42.7
24.3
23.3

-15.0
-11.4
-16.1
0.6

36.1
22.6
42.0
71.3

49.9
47.4
72.5
15.8

21.0
35.3
14.7
15.0

-10.8
-6.8
-9.6
41.5

18.8
-2.1
35.9
35.8

41.2
53.2
37.0
41.5

-17.1
-15.7
-16.1
-33.2

10

36.6
52.0
29.9
32.9

-16.8
-4.6
-21.0
-21.1

16.1
12.9
14.2
13.9

48.1
17.1
71.8
86.1

32.4
49.1
24.1
28.1

-19.7
-6.9
-22.1
-15.5

24.6
27.9
19.5
53.6

41.9
56.4
37.0
39.8

-13.7
-2.6
-18.7
-25.8

Q2 2007- Q4 2009Q2 2007 Q4 2009 Q4 2011
10

35.1
49.5
29.2
30.8

-30.4
-11.9
-35.9
-33.8

11.5
-1.8
18.8
9.7

22.5
17.8
18.8
9.5

29.6
44.5
23.6
21.6

-31.5
-12.9
-38.6
-22.6

14.8
2.6
18.5
16.2

8.6
8.8
7.0
11.1

42.2
57.4
35.8
44.1

-26.7
-10.1
-27.7
-41.3

5.2
-8.0
12.3
0.7

Notes: The series are quarterly averages of seasonally adjusted monthly series constructed from
the gross ‡ows using the CPS microdata and corrected for aggregation using Shimer (2012)
procedure.

21

Table 8: Nonparticipation-to-Employment Transition Rates, by Recession
1981-1982
1990-1991
2001
2007-2009
Period
Period
Period
Period
2-year
2-year
2-year
2-year
of the
of the
of the
of the
Change
Change
Change
Change
change
change
change
change
At the
At the
At the
At the
aggrega
aggrega
aggrega
during
during
during
during
Average aggrega
after
after
after
after
start of
start of
start of
start of
te u
te u
te u
te u
the rise,
the rise,
the rise,
the rise,
rate
the
the
the
the
the rise
the rise
the rise
the rise
rate
rate
rate
rate
%
%
%
%
peak, %
peak, %
peak, %
peak, %
rise, q
rise, q
rise, q
rise, q
Q3 1981- Q4 1982Q3 1981 Q4 1982 Q4 1984
All
16 +
16-24
25-54
55-64
Males
16 +
16-24
25-54
55-64
Females
16 +
16-24
25-54
55-64

4.3
9.6
6.4
3.1

5

4.3
10.8
5.5
2.7

-13.2
-19.7
-4.6
-13.2

13.4
19.7
16.4
27.8

5.0
10.7
9.0
3.5

5.7
14.0
9.6
3.4

-24.9
-35.1
-19.1
-21.7

3.9
8.9
5.9
2.8

3.8
9.0
5.0
2.3

-6.8
-7.2
-2.1
-7.9

Q2 1990Q2 1990 Q3 1992
9

Q3 1981- Q2 2003Q3 1981 Q4 1982 Q2 2005

4.7
11.4
7.1
3.3

-11.8
-14.4
-8.9
-10.7

-1.9
-4.0
-3.2
0.7

21.9
39.2
26.9
41.3

5.2
12.4
8.6
4.0

-6.0
-10.3
17.4
-22.9

9.2
6.5
14.0
20.0

4.4
10.8
6.8
2.9

-15.5
-17.6
-17.6
-1.1

10

4.9
11.1
8.0
3.7

-12.8
-21.7
-9.0
-10.9

6.5
4.4
-2.3
18.8

-6.9
-9.2
-26.2
9.4

5.6
11.9
10.8
3.8

-14.6
-25.9
-11.8
2.1

0.9
-0.7
4.8
-4.8

4.5
10.5
7.1
3.6

-12.4
-17.1
-10.1
-20.9

Q2 2007- Q4 2009Q2 2007 Q4 2009 Q4 2011
10

4.3
8.3
7.1
3.2

-14.0
-22.3
-14.4
-11.4

0.2
7.3
-8.8
10.4

5.1
2.0
-3.4
10.5

4.8
8.3
9.9
3.3

-16.5
-24.6
-21.7
-11.8

6.6
12.6
-4.9
15.4

7.5
6.0
-1.1
27.5

4.1
8.2
6.2
3.1

-12.1
-20.1
-10.4
-10.8

-4.0
3.1
-10.8
6.6

Notes: The series are quarterly averages of seasonally adjusted monthly series constructed from
the gross ‡ows using the CPS microdata and corrected for aggregation using Shimer (2012)
procedure.

Table 9: Employment-to-Nonparticipation Transition Rates, by Recession
1981-1982
1990-1991
2001
2007-2009
Period
Period
Period
Period
2-year
2-year
2-year
2-year
of the
of the
of the
of the
Change
Change
Change
Change
change
change
change
change
At the
At the
At the
At the
aggrega
aggrega
aggrega
Average aggrega
during
during
during
during
after
after
after
after
start of
start of
start of
start of
te u
te u
te u
te u
rate
the rise,
the rise,
the rise,
the rise,
the
the
the
the
the rise
the rise
the rise
the rise
rate
rate
rate
rate
%
%
%
%
peak, %
peak, %
peak, %
peak, %
rise, q
rise, q
rise, q
rise, q
Q3 1981- Q4 1982Q3 1981 Q4 1982 Q4 1984
All
16 +
16-24
25-54
55-64
Males
16 +
16-24
25-54
55-64
Females
16 +
16-24
25-54
55-64

2.8
6.6
1.7
2.9

5

3.1
6.3
1.8
3.1

-10.6
-7.6
-9.1
-11.0

7.8
14.5
5.4
26.1

2.1
6.0
0.9
2.3

2.1
5.7
0.8
2.0

-11.6
-7.4
-22.1
-7.0

3.7
7.2
2.7
3.8

4.5
7.0
3.3
4.7

-10.7
-8.7
-6.2
-13.7

Q2 1990Q2 1990 Q3 1992
9

Q3 1981- Q2 2003Q3 1981 Q4 1982 Q2 2005

2.7
6.3
1.6
3.3

-6.0
-1.0
-8.4
-9.6

2.5
1.7
0.9
14.9

10.0
13.0
22.5
33.9

1.9
5.5
0.7
2.6

1.0
-0.9
21.5
-8.3

6.7
16.8
1.2
20.1

3.7
7.2
2.6
4.3

-11.0
-1.5
-18.5
-11.6

10

2.9
6.5
1.9
3.4

-9.8
5.7
-15.4
-18.3

8.5
7.7
6.7
0.9

0.4
3.8
-1.4
13.2

2.3
6.0
1.1
2.8

-0.4
13.8
-4.5
-8.7

3.3
0.2
0.3
15.5

3.7
7.1
2.7
4.0

-15.8
-0.9
-19.7
-25.5

Q2 2007- Q4 2009Q2 2007 Q4 2009 Q4 2011
10

2.9
7.6
1.7
2.6

-8.0
-8.5
-6.0
-2.4

5.5
9.4
6.1
-2.5

1.7
2.1
4.2
-18.9

2.4
7.0
1.2
2.2

-0.3
-1.9
8.1
4.7

-5.2
-2.7
-4.6
-16.7

14.3
13.1
9.5
19.5

3.5
8.3
2.4
3.0

-15.4
-14.8
-16.8
-8.7

15.7
21.9
14.7
11.4

Notes: The series are quarterly averages of seasonally adjusted monthly series constructed from
the gross ‡ows using the CPS microdata and corrected for aggregation using Shimer (2012)
procedure.

22

Figure 1: Flow Transition Rates, 16 y. o. +

.1

.2

.04

.3

.06

.4

.08
Un. rate

.5

.6

.12

T ransitions from Unemployment

1977

1979

1981

1983

1985

1987

1989

1991

1993

1995

1997

1999

2001

UE

2003

2005

2007

2009

2011

2005

2007

2009

2011

2005

2007

2009

2011

UI

Aggregate unemployment rate

.04

.015

.02

.06

.025

.08
Un. rate

.03

.1

.035

.12

T ransitions from Employment

1977

1979

1981

1983

1985

1987

1989

1991

1993

1995

1997

1999

2001

EU

2003
EI

Aggregate unemployment rate

.04

.03

.06

.035

.04

.08
Un. rate

.045

.1

.05

.12

T ransitions from Nonparticipation

1977

1979

1981

1983

1985

1987

1989

1991

1993

1995

1997

IE

1999

2001

2003
IU

Aggregate unemployment rate

Notes: Means of the corrected for aggregation quarterly averages of seasonally adjusted monthly
series. Authors’calculations using gross ‡ows from CPS microdata. See text for details.

23

Figure 2:
Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

0

.005

.01 .015

Percentage points
.02 .025 .03 .035

.04

.045

.05

.055

.06

(start of the rise - eight quarters after the peak)

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12
EU and UE counterfactual u

Steady state u

Figure 3:
Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

-.005

0

Percentage points
.005
.01

.015

.02

(start of the rise - eight quarters after the peak)

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12
EU counterfactual

IU counterfactual

UE counterfactual

UI counterfactual

IE counterfactual

EI counterfactual

24

Figure 4:
Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession
16+, Females
(start of the rise - eight quarters after the peak)

-.01

-.01

0

0

.01

.01

P ercentage points
.02
.03

P ercentage points
.02
.03
.04

.04

.05

.05

.06

.06

.07

.07

16+, Males
(start of the rise - eight quarters after the peak)

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12
E U and UE counterfactual u

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

S teady state u

E U and UE counterfactual u

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession
16-24, Females
(start of the rise - eight quarters after the peak)
P ercentage points
-.025 -.015 -.005 .005 .015 .025 .035 .045 .055 .065 .075 .085 .095

P ercentage points
-.025 -.015 -.005 .005 .015 .025 .035 .045 .055 .065 .075 .085 .095

16-24, Males
(start of the rise - eight quarters after the peak)

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12
E U and UE counterfactual u

S teady state u

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

S teady state u

E U and UE counterfactual u

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

S teady state u

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession
25-54, Females
(start of the rise - eight quarters after the peak)

-.01

-.01

0

0

.01

.01

P ercentage points
.02
.03

P ercentage points
.02
.03
.04

.04

.05

.05

.06

.06

.07

.07

25-54, Males
(start of the rise - eight quarters after the peak)

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12
E U and UE counterfactual u

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

S teady state u

E U and UE counterfactual u

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

S teady state u

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession
55-64, Females
(start of the rise - eight quarters after the peak)

-.02

-.02

-.01

-.01

0

0

P ercentage points
.01
.02

P ercentage points
.01
.02
.03

.03

.04

.04

.05

.05

.06

.06

55-64, Males
(start of the rise - eight quarters after the peak)

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12
E U and UE counterfactual u

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

S teady state u

E U and UE counterfactual u

25
Notes: Quarterly averages of seasonally adjusted monthly series.

S teady state u

Figure 5:
Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession
(start of the rise - eight quarters after the peak)

-.005

-.005

0

0

P ercentage points
.005

P ercentage points
.005
.01

.01

.015

.015

.02

(start of the rise - eight quarters after the peak)

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

E U counterfactual

IU counterfactual

E U counterfactual

IU counterfactual

UE counterfactual

UI counterfactual

UE counterfactual

UI counterfactual

IE counterfactual

E I counterfactual

IE counterfactual

E I counterfactual

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession
16-24, Females

P ercentage points
.01

-.01

-.01

0

0

P ercentage points
.01
.02

.03

.02

.04

.03

16-24, Males

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

E U counterfactual

IU counterfactual

E U counterfactual

IU counterfactual

UE counterfactual

UI counterfactual

UE counterfactual

UI counterfactual

IE counterfactual

E I counterfactual

IE counterfactual

E I counterfactual

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession
25-54, Females

P ercentage points
.005

-.01

-.005

0

0

P ercentage points
.01

.01

.02

.015

.03

25-54, Males

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

E U counterfactual

IU counterfactual

E U counterfactual

IU counterfactual

UE counterfactual

UI counterfactual

UE counterfactual

UI counterfactual

IE counterfactual

E I counterfactual

IE counterfactual

E I counterfactual

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession

Change of the unemployment rate from the start of the rise
of the aggregate unemployment rate, by recession
55-64, Females

P ercentage points
.005

-.01

-.005

0

P ercentage points
0

.01

.01

.02

.015

55-64, Males

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 07 08 09 10 11 12

E U counterfactual

IU counterfactual

E U counterfactual

IU counterfactual

UE counterfactual

UI counterfactual

UE counterfactual

UI counterfactual

IE counterfactual

E I counterfactual

IE counterfactual

E I counterfactual

26
Notes: Quarterly averages of seasonally adjusted monthly series.