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NBER WORKING PAPER SERIES

CRIME, URBAN FLIGHT, AND THE CONSEQUENCES FOR CITIES

Julie Berry Cullen Steven D. Levitt

Working Paper 5737

NATIONAL

BUREAU OF ECONOMIC RESEARCH 1050 Massachusetts Avenue Cambridge, MA 02138 September 1996

We would like to thank Daron Acemoglu, Philip Cook, David Cutler, Jonathan Gruber, Jen-y Hausman, Lawrence Katz, John Lott, David Mustard, James Poterba, William Wheaton, and seminar participants at Harvard, MIT, and the University of Pennsylvania for helpful comments. We are gratefil to Rich Robinson of CIESIN for providing the Census data extracts. Comments can be addressed either to Julie Berry Cullen, Building E-52, Department of Economics, Massachusetts Institute of Technology, Cambridge, MA 02142, or to Steven Levitt, Harvard Society of Fellows, 78 Mount Auburn Street, Cambridge, MA 02138. e-mail addresses: [email protected]; [email protected]. edu. The financial support of the National Science Foundation and the National Institute on Aging is gratefully acknowledged. All remaining errors are the sole responsibility of the authors. This paper is part of NBER’s research program in Public Economics. Any opinions expressed are those of the authors and not those of the National Bureau of Economic Research. 01996 by Julie Berry Cullen and Steven D. Levitt. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including O notice, is given to the source.

NBER Working Paper 5737 September 1996 CRIME, URBAN FLIGHT, AND THE CONSEQUENCES FOR CITIES ABSTRACT

This paper demonstrates that rising crime rates in cities are correlated with city depopulation. Instrumental variables estimates, using measures of the certainty and severity of a state’s criminal justice system as instruments for city crime rates, imply that the direction of causality runs from crime to urban flight. Using annual city-level panel data, our estimates suggest that each additional reported crime is associated with a one person decline in city residents. There is some evidence that increases in suburban crime tend to keep people in cities, although the magnitude of this effect is small.

Analysis of individual-level

data from the 1980 census confirms the city-level results and

demonstrates that almost all of the crime-related population decline is attributable to increased outmigration

rather than a decrease in new arrivals to a city. Those households that leave the city

because of crime are much more likely to remain within the SMSA than those leaving the city for other reasons. The migration decisions of high-income households and those with children are much more responsive to changes in crime than other households.

Crime-related mobility imposes costs

on those who choose to remain in the city through declining property values and a shrinking tax base.

Julie Berry Cullen Department of Economics, E52 Massachusetts Institute of Technology Cambridge, MA 02142 [email protected]

Steven D. Levitt Harvard Society of Fellows 78 Mount Auburn Street Cambridge, MA 02138 and NBER [email protected]. edu

The difficulties

confronting

into large-scale limitations,

urban flight.

Violent

crime

Among

higher than in cities with

considers

that

locking

the greatest

the post-war

populations

faced

populations

below

subsidies,

has pushed

private

expenditures

security

many

in 1993

and seven times

guards,

alarm systems)

cities to cities

when

is

were

greater

on police and the level of victim

trend

tax

by large American

over 500,000

50,000,

are well

suburbanization

federal

public services

difficulties

cities with

decades

crime rates in large cities are even more remarkable

both per capita

doors,

turned

tax base, shrinking

in need of greater

rates in U.S.

rural areas. z Higher

(e.g.

A declining

and city residents

the brink of fiscal crisis.

times

cities in recent

The urban riots of the late 1960s

documented.’

crime.

large American

four

than in

one

precaution

are much greater

in large

cities.3 This paper examines extensive

literature

Kelejian

1973,

relatively studies

analyzing

Frey 1979,

little focus

MarshalI

(e.g. Taeuber

1979,

Marshall

and Taeuber

and O’Flaherty

Bradbury,

Craig,

Downs,

and Lute

Although 1965,

1987),

the phenomenon,

the level of crime as a right-hand

1 See, for instance, and Inman,

this subject

crime and urban flight.4

on the role of crime in explaining

have included

(1 987),

the link between

side variable

and Small (1 982),

there

Bradford there

Gottdeiner

(1 986),

and

has been

A handful

in cross-city

is an

of OLS

Wilson

(1 994).

2 The Uniform Crime Re~o rts, which reflect only those crimes reported to the police, are likely to understate the actual difference in crime rates across city types because of the greater likelihood a crime will be reported to the police in smaller cities (Levitt 1995), 3 In 1990-1991, capita

cities with

on police protection,

expended

an average

4 While correlated

of $97

urban flight with

of city residents

values.

Thus,

per capita

(U.S.

Department

of families

failing to complete proxies

populations

below

below

high school,

for city decline 1

an average 75,000

of Commerce

in its own right, declines

in the percent

urban flight

over one million spent

cities with

is interesting

increases

fraction

population

whereas

of $210

1993).

in city population

the poverty and declines

more generally.

per

residents

are also

line in the city, the in median

housing

estimates

of urban flight.

These

crime rates and urban flight Wooldredge

methodological perspective,

the simplest

associated

with

relationship

Katzman

within

a net decline

1980,

between

Sampson

and

5 Previous

research 1988,

G In a simple

reported

not

on changes

rates,

crime

1985).

between

rising crime

of this effect

rates and

1976-1993.

crime in a central

Higher suburban

the magnitude

any net population

necessarily

Taylor

and Covington

of residents,

model where change.

for future

point,

a positive level,

city is

crime rates tend to

is much smaller

1988).

values

conclusions

relationship

especially

than for

to that

is concerned

with

fully capitalize

regularity

leaving

puzzle

work. 2

population

literature,

(Smith

which

net population

in housing tastes

imply any change

we take the empirical the theoretical

between

changes.

the costs and benefits

by changes

costs and heterogeneous

but do not necessarily

from these

in poor neighborhoods

In contrast

can be captured

Relocation

In this paper,

as a starting

any causa/

our analysis

property

in amenities

of the residents,

of city residents.

draw

has also documented

then changes

fully adjust

focusing

cities over the period

one resident.

rates at the neighborhood

on gross flows

populations

although

one cannot

and crime

composition

correlation

each additional

level,

(O’Brien

and

in crime rates,

in crime reporting

across cities

on the

From a theoretical

that changes

On a practical

using a panel of 137

primarily

are both theoretical

in crime rates.

non-comparabilities

of about

cities,

There

focuses

cities.

Of course,

and Jarjoura

our analysis

model predicts

the strong empirical

declines

in central

choice

practices

for other factors,

with

keep people

location,

a positive

1982,

changes

in city populations

associated

I documents

controlling

focuses

residential

changes

city population

turnover

Grubb

on the topic,

for examining

and police department

Section

crimes

research

justifications

problems

definitions,

central

Frey 1979,

obtain

in crime rates rather than levels.

will influence

mitigates

After

to previous

of changes

levels,

(e.g.

typically

1986).5

In contrast impact

studies

values

affect

of why

the

in the total

of fluctuating property

of a without

number

city values

do not

estimates.

While

it is also possible urban flight. comprised

the most obvious that an omitted

For instance,

positively rates.

with

may be responsible

loss in shrinking

city residents

On the other hand,

city size, city growth

is the case,

for both rising crime

rates of crime victimization),

will rise, even if each resident’s

since crime rates are strongly

is likely to be correlated

OLS may understate

and

cities is disproportionately

(who tend to have lower remaining

is unchanged.

correlated

If that

individuals

crime rate among

risk of victimization

link runs from rising crime rates to urban flight,

third factor

if population

of high income

then the average

causal

the causal

impact

with

rising crime

of crime on city

population. We attempt

to establish

use of instrumental but not otherwise source

variables belong

These

are plausibly city population

changes

variables

excluded

aggregate census

yields

migration census

resulting

is overwhelmed limitation

population

to affect

changes.

a number

it is also possible

equation.

manner,

impact

analysis

in Section

category,

between

3

Ill.

yet

that

changes

is that it addresses

any in city

sample

only of the

We are able to obtain race, and family

increasing

In

of crime on

suggesting

or compositional

data from the 5 percent

cities by income to distinguish

system.

for large cities to have higher crime rates.

panel-data

insights

variables

rate

prison releases

in the predicted

The estimated

the

The logical

justice

and state

larger than the OLS estimates,

Using PUMS

of additional

crime

the crime

changes.

of the criminal

prison commitments

from omitted

of the above

must affect

city population

in the punitiveness

by the tendency

in and out of 81 U.S.

data,

explaining

in state

are slightly

crime and urban flight through

A valid instrument

are demonstrated

using 2SLS

A major

Il.

from the city population

bias in the OLS estimates population

in Section

is changes

we use lagged

per crime.

link between

in the equation

of such instruments

particular,

a causal

estimated

status.

out-migration

1980

and

Using

declining

in-migration

suggest

and to identify

that almost

migration; percent compared income

all of the impact

the link between

of those

people

to forty

Whites

are twice

as responsive

Because

to crime

IV summarizes

accompanied

are likely to have greater

services

is diminished.

declining

housing

prices,

eroding

of cities,

1987),

cities can be caught

and Katz

In the presence

To the extent 1991,

groups will exert

mobility

Benabou a further

1993,

Households

of high

with

While

and city hospitals,

children

rough calculations

those

remaining

returns

spiral in which

such as police protection,

externality

on those

4

is the primary

(Blanchard

those

capital

the exodus left behind.

with

revenue

and Summers

rising tax rates lower

to human

1995)

to

in the city

the ability to provide

tax base, which

and Glaeser

of

In addition

that rising crime rates are associated

are important

of

the rich, rising crime will be

public services

of fiscal increasing

negative

decisions

other costs on city residents.

among

of poverty.

the property

Cutler

the SMSA,

children.

numerous

also suggests

that peer effects

within

out-

Seventy

crime rates than those

to crime.

is concentrated

in a downward

weak.

for cities and their residents.

crime imposes

Our results

from increased

The mobility

without

need for locally provided

Evidence

appears

of the paper and provides

concentrations

source

wages.

as households

public transportation,

results

to changing

similar responses

out-migration

by increasing

public education,

more responsive

and crime-related

crime-related

city out-migrants.

the results

costs of victimization,

who leave cities.

cities due to crime remain

of all central

and blacks show

the costs of crime

in crime and in-migration

central

are five times

the poor.

the direct

leaving

of those

of crime on city population

changes

percent

households

Section

the destinations

real

development

(Case

of the most mobile

Section

1: Correlations

between

We begin our analysis changes

in crime

and suburban described

crime

SMSA,

a simple

in city population.

rates in the specification, socioeconomic,

and state.

Our logic for focusing

the previous

individual’s

residential

decision

economic

(although

The theoretical

prediction

that changes

city population

is strongly

supported

The basic specification

We include

we employ

on changes

potentially

rates.

whereas

This specification

independent

or changes

at the sample

contemporaneously covariates

makes

endogeneity

whether changes

these

in

with

some adjustment

presented

into the lag).

changes

in

later in the paper.

(S TATEPOpit_l)

+ AGEit_l

time,

With

crime variables of changes

the exception

problems.’

covariates

G + At

and regions

+ Yr

(1) + eit

respectively.

are in changes

The population in per capita

in crime on mobility

to be

such as log changes

in levels of both variables,

mean.

in crime rates is that

of

have been incorporated

evidence

other specifications

and will be instrumented,

to reduce

7 It is unclear logic that

the two

the impact

of the level of crime;

and population, evaluated

allows

characteristics

CRIMEit + fi2ASUBURB_CRIMEit + P3 UNEM

1, t, and r index cities,

is in log changes

city

is as follows:

+ B6%BLACKit_1

variable

between

in both central

and not levels of crime should effect

+ ~4 INC;MEit_l + ~~aln

the subscripts

changes

and demographic

by the empirical

Aln (CITY_ POPit) = ~lACITY

where

relationship

a range of other covariates

level of crime in a city will already

choice

in Citv POK)UIation

reduced-form

along with

to capture

equilibrium,

and C hanaes

in Crime

by specifying

and changes

below

the city,

Changes

in both crime

lead to similar results

of the crime variables,

when

which

enter

one year lags are used for all of the other In addition

to economic

controls,

should enter in levels or changes.

rather than levels of crime rates appropriate 5

suggests

a set of

The same changes

for

variables

reflecting

populations, sources

and a variety

U.S.

analysis

of indicator

(1) is estimated

central

cities with

we allow

of compromises migration

variables

because

is unavailable,

and death

rates

gross flows

populations

are included

the analysis so changes

(approximately

due to migration

is performed in overall

(roughly

log-changes

to capture

using data from the decennial city population

0.2

census,

changes

to the use of net migration

in state

other systematic

a Immigration

versus

net migration

other variables

up differential frequently authors)

include

utilized

8 Moreoverr community effectively

they

levels.

movers

affect

little effect

Our results

the importance

to

across

States

over the (1 986),

to the choice

are also robust

Ill. reported

to the

adults

controls move

levels as the correct

of this paper (available

may be picking

six times choice.

on request

as The results from the

on the crime coefficients.

city populations

move to, whereas

moves

are not sensitive

of index crimes

(e.g. young

suggests

An earlier version with

doubles

which

low compared

Given that less than half of all

Re~orts.

across groups

over age 65),

changes

number

Birth

and Wooldredge

On the other hand, the demographic

levels of mobility

as those

that follow

as well.

Crime

in Section

not

are used instead.

Sampson

flows.

a number

are influenced

are relatively

find that their results

the

data on net

rates in the United

per year.

for

Throughout

Annual

which

rates,

1976-1993

necessitate

of the U.S. population

data from the Census

in Uniform

in 1975.

at the city level.

per hundred)

percent

the years

Data limitations

and immigration

The crime rates used are the per capita police and collected

100,000

city population,

six percent

1987)).

are roughly

than

by city size.

1.5 and 0,9

lines each year (Schwartz

of overall

greater

but also by birth, death,

time period examined

these

lagged

using a panel of data covering

for heteroskedasticity

only by migration

county

of the population,

of variation. Equation

137

the age distribution

in both the community

births and deaths of migration 6

affect

in explaining

they

leave and the

only one community. city-level

population

This flows.

victimizations

are reported

by substantial

measurement

level of regions, paper,

estimates

presented

in Section

are available

level of aggregation

Area,

yearly

by state.

associated

year dummies, effects.

census

the left-hand trends

region-year

city,

annually

to linearly

Per capita

over time. interactions

the percent

adopted

is already

In some cases,

7

into violent

and

of suburban

As a general

income

Most

city-

between

the

principle,

we

data.

of numerous

we replace

is available

of a city’s

population

that

the problems indicator

variables:

and city-fixed

a city-fixed

effect

the year and region

for regional

on a

In the OLS

regions,

in differences,

control

crime.

is also available

for minimizing

to the nine census

to better

aggregated

a tradeoff

of the population

is the inclusion

side variable

in the IV

in our regressions.

data rather than using state-level

corresponding

crimes

necessitating

by SMSA.

strategy

crime

particularly

only estimates

of collection.

interpolate

two

similar

panel are less than ideal.

years,

The age distribution

those

the

of this

obtaining

as our measure

source of data available

the primary

region dummies

Because

with

census

between

below

We use crime rates in the rest of the

in a city-level

the lack of good controls

picks up within-city indicators

level.

of this section, with

annual

We choose

is black from decennial regressions

available

and property,

disaggregating

the central

version

the coefficients,

on request.

contaminated

is not available

In a previous

we present

full results

excluding

are available

basis at the state

annually

identify

of the data and the frequency

rates

however,

of collinearity

Consequently

only in decennial

use the most disaggregated Unemployment

Il.

in the tables;

of covariates

Ievel data is collected

data,

into violent

to separately

from the authors

Statistical

The types

crimes

The high degree

it difficult

over all crime categories

Metropolitan

Victimization

to disaggregate

makes

the UCR crime data are potentially

the use of UCR statistics.

on both types.

classifications

property

error.

necessitating

we attempted

coefficients

to the police,

economic

and

demographic regional

shifts

characteristics.

also worth variables

Two

are uncorrelated

results

set of covariates

Summary enter equation

statistics

OLS regression

Column

1 corresponds

3 includes

columns

with

directly

effects

effects

on the crime variables.

reported

straightforward

to demonstrate

9 The larger is the variation year-to-year

crime

utilized

1.

we

here or a greatly

For those

variables

in Table

2 adds city-fixed

effects.

Columns

are in the top two

improves

4-6

that D1 closely

rows.

the fit of the model

are statistically

of interpreting

interpretable.

the closer is the approximation.

in Table

interactions.

the results,

crime is a useful measure

and thus is directly

set of controls,

that

are 2. Column

mirror the first

crime levels added to the specification.

The crime coefficients

For the purposes

better

we use

controls.

Column

and region-year

interactions

each additional

measure

have a much

for a range of specifications

(1).

are

of the crime

for both the levels and changes

on the crime rate changes

and region-year

specifications.

to equation

variables

Ill of the paper where

set of covariates

statistics

or other

as long as the omitted

estimates

in Section

household-level

are presented

once-lagged

The coefficients fixed

results

both city-fixed

Second,

and therefore

summary

estimates,

consistent

for the data are presented

(1 ) as changes,

shown.

variables

we use the limited

including

for climate

points about the lack of good control

be obtained.

whether

over time in tastes

the instruments,

data from the census

similar

expanded

three

with

will nonetheless

individual-level

further

changes

First, in the instrumental

noting,

parameters

obtain

as well as possible

approximates

g The interpretation

city-

but has little effect

significant the change

of the magnitude

Including

in all in city residents

of the effect.

(but slightly

overstates)

for

It is that

of ~z is more complicated,

in crime rates relative to the variation in city populations, In our data, the standard deviation of percent changes in

rates is five to six times

larger than the corresponding

populations. 8

value for city

however,

because

it depends

our data,

suburbs

on average

to determine sample,

the change

suburban rates.

with

crime

translates

unemployment

translates persons

with

substantially

with

to the omitted The coefficient between

0.33

effects

effects

to 0.64.

income

are imprecise.

population

Excluding

growth

this variable,

for each

effect

100

in This

additional estimates

in

on city populations

There

is some evidence faster.

more slowly, in percent

black,

estimated

has little impact

a

the earlier however,

which

of city-fixed

is very large with

that

Cities with

mirroring

The age coefficients,

however,

change

in city population.

“over age 65, ” flip sign with the inclusion state

on

point change

to the state-level

variation

city crime

a ten percent

tend to grow

appear to grow

of our

less than one percent.

decline

are included.

is little within-city

the estimates

on lagged

percent

Thus,

The coefficient

A percentage

is similar in magnitude

higher per capita

There

category

of slightly

manner.

In

as large as that for city crime

5 and 35 city residents

of black residents

of Frey (1 979).

city-fixed

to 0.23

city-fixed

an additional

in city crime rates (roughly

The size of the unemployment

when

in states

initial fraction

findings

estimate

and Katz (1 992),

located

higher

That

about one-sixth

cities.

crime at the mean

of about one resident.

in a plausible

of between

suburban

populations.

as central

to the estimates,

in city population

leads to a 0.035

unemployed.

increases cities

enter

into a decrease

Blanchard

According

change

into a decline

residents

per additional

into an impact

deviation

The other covariates SMSA

as many

in city population

rates translate

A one-standard

in crime),

~z by three.

a decline

sizes of the city and suburban

have three times

in city residents

one must divide

is associated

on the relative

so

are relative effects. elasticities

on the crime

parameters. The specifications population

in columns

occur contemporaneously.

1-3 of Table

2 assume

To test the possibility

9

that changes of partial

in crime

adjustment

and or lagged

responses lagged

to crime,

crime rates

generally Lagged

columns

4-6

include

are statistically

less than a tenth crime changes

the once-lagged

significant,

as large as those

also appear

crime rate in levels.

and the magnitudes associated

to have weak

with

of the coefficients

changes

explanatory

None of the

power,

are

in crime rates. as do /cads of crime

changes. We have also explored shown

in tabular

place of one-year time period, sample.

Estimating

differences

we cannot

Finally,

across

form).

other variants

of the basic specification

the model using fixed

yields similar estimates.

effects

Dividing

reject the null of equal coefficients

splitting

cities greater

numerous

the sample

than or less than 250,000

Sect ion 11:Establishing

or longer differences the sample

across the two

by city size, we cannot

(not

according

in to

parts of the

reject the null of equality

in population.

Causa Iitv in the Relationship

C itv PODulations

between

and Crime

w The preceding

section

crime rates and changes the direction flight,

there

might

affect

urban areas, perhaps

of causality.

suggesting

to increased

anonymity

of big-city

a strong

in city populations, While

are also a number crime rates.

documents

Looking

life, or because

provide

channels

through

in densely

big cities attract

10

between

changes

any clear guidance

which

changes

higher in large

lead to higher crime rates,

settled

areas,

likely criminals

about

lead to urban

population

crime rates are much

in city population

opportunities

correlation

is that rising crime rates

cross-sectionally,

that increases

criminal

but cannot

one possibility

of plausible

negative

due

the increased (e.g. Glaeser

and

in

Sacerdote

1996).’0

understate

the true causal

growth

If that

may overstate third variable correlated Second,

hand, there

between

are a number

the true magnitude that

with

is positively

associated Iinearities

city population

with

increasing

between

if there

changes

concentrations

rates are defined

measurement

the dependent

may since city

measurement

10 Where rates.

error induces

data

Beattie

offenses mostly

against

American

cities

activity, Wilson

basis.

a negative

bias.12

city population

the reported

12 When

crime

an individual

argues

exacerbate

almost

An apparent

this bias. is present

regression

model

may be an incorrect

higher than rural crime

seven times

of the professional reduced

victimization

when

side variables,

1690-1720,

exception

be

for non-

problem

prosecutions greater

is

police force the amount

for

than the

to this pattern

is that the rich are more likely to report

police than the poor, so even if the actual changes,

always

that for the period

the emergence

might

will not bias the coefficients,

latter half of the 19th century appears to have dramatically in large American cities (Monkkonen 1981). to this argument

further

of the right-hand

in the city of London were

of Essex and Sussex,

in the late 1800s;

11 One caveat

(1 987)

Unlike the standard

Finally,

of less mobile

then depopulation

urban crime rates are almost reports

comprised

then a ratio-bias

side variable

in the denominator

First, an omitted

OLS coefficient.

and crime that would

on a per capita

for instance,

property

rural counties

cities is increasingly

of poverty

are available,

(1 995),

the negative

in criminal

that the OLS estimates

in crime rates and negatively

error in city populations,

appears

suggesting of city crime.

changes

crime rates.’l

error in the left-hand

variable

impact

could explain

in shrinking

per capita

is measurement

of factors

with

are also more likely to engage

since crime

Table

section

city crime and depopulation

of the causal

correlated

if the pool of residents

groups that

where

relationship

of the previous

will lead to higher crime rates. On the other

Third,

is the case, the estimates

in the of disorder

crimes

to the

rate rises due to compositional

rate may not.

household’s

8, ratio bias is not a concern.

mobility The results 11

decision

is used as the dependent

are unaffected,

suggesting

variable

ratio-bias

in

is not

denominator tourists,

for crime rates if a large fraction

If many

central

former

city and be victimized

between

city populations We attempt

what

city residents

follows,

crime with

stories

rates

our efforts

(e.g. reverse

coefficients.

crime coefficients

otherwise

will reduce

effect

on city migration

median

Piehl 1991, capture

except

commits

Spelman

impact roughly

1994).

not only incapacitation,

a major problem

correlation

variables. treating

In

suburban

the

and compellin9

for city

we have also experimented

with

must affect

city population

no impact

on the city crime

that the suburban

city crime rates,

changes.

of the state

deterrence

criminal

or incapacitation,

The two

of prisons.

instruments

Prisoner

15 index crimes

Panel-data

in the

instrumented.

of the severity

via crime.

negative

fit, we can never reject

determining

crime either through

crime-reducing

prisoner

first-stage

are measures

applicable

crime rates,

to work

perspective,

Empirically,

and ratio bias).

or

in this paper.

From a theoretical

for the city crime variable

in the equation

which

a spurious

for city crime rates,

are more directly

are equal to zero when

of such instruments

documented

causality

of a weaker

instruments

belong

above

but continue

the use of instrumental

on instrumenting

for both city and suburban

Because

Valid

through

to city population.

discussed

instrumenting

causality

of crime are commuters

to the suburbs

and city crime rates as measured

crime rates as exogenous endogeneity

relocate

therer13 this could induce

to determine

we focus

of the victims

analyses

but also deterrence

The natural justice

but should

suggest

a year prior to incarceration using state-level and replacement

aggregates, effects,

choices

system,

we use exploit

self-reports

but not

have little the well-

that the (Dilulio

and

which yield

here.

13 Census data on place of work suggests that roughly 80 percent of those who work in the central city continue to work there after moving residence to the suburbs. 12

estimates Levitt

of crime

reductions

per prisoner

(Marvell

and Moody

1994,

1996). The particular

rates of state

probation

resulting

used are lagged

per reported

from criminal

and parole violations.14

deterrence

via the certainty

rate implies

punishment

These

prisoners

were

These

flows

in this paper,

the instruments to be strongly

through

their impact

instruments sample

represents

14 When commitments

15 State negative residents

prisons

and

rate translates

into

percent

of state

in 1979.

The state

held in local jails.

crime rates.

in city populations,

Though

The instruments

however,

are

except

likely to be true since the

level rather than the city level, of the population

other than the index

The average

and only eleven

percent

city in our of the

it is located .15

separately,

new commitments

and parole

in the first-stage

and probation-related

regression

and the 2SLS

results

affected. generally

are not located

in big cities which

between

city populations

and commitment

are being sent to prison,

populations.

from

effects

22 percent

or those

with

This is particularly

had similar coefficients

correlation

In 1993,

prisoners

with changes

at the state

in which

not substantially

both

A high commitment

for crimes

only, up from 6.4

are still highly correlated

on crime rates.

entered

both incapacitation

A low release

drug offenses.

charges

only seven percent

crime for the state

include

resulting

in the state.

and conviction.

either federal

correlated

are defined

of punishment

include convictions

notably

held on drug-related

unlikely

Commitments

and commitments capture

and release

per conviction.

prison data also does not include imperfect,

in the commitment

crime in the state.

variables

of detection

prison population

considered

changes

convictions

and severity

a high likelihood

a longer mean

crimes

instruments

prison systems

new prison terms

were

of similar magnitudes

Our reduced

the removal

form estimates,

of those

however, 13

could potentially rates:

offenders

when

many

will reduce

find that commitment

induce city

city

rates and city

a

One potential

problem

with

the instruments

denominated

by crime rates (albeit

crime rates.

In the absence

denominator

of the instrument

functional

form

however,

generally source

is correctly

There

stage regression Empirically,

while

however,

measurement important

using state-level

a small fraction

the negative

while

relationship the effect

of state values

of crimes

error in reported

commitments

we attempt Second,

rates, First, the cities

to lessen this

ratio bias will

and the crime rate in the first-

will be systematically

we find that commitments

crime

if the

data and individual

Nonetheless,

of the instruments.

of releases

of the instrument

than city-level

crime.

for

in the

points to note on this topic.

rather

between

are

they are also instrumenting

error, the presence

With

are two

of bias by using only lagged

exaggerate

is the fact that they

does not result in any contamination

specified.

are constructed

represent

crime rates)

of measurement

ratio bias arises.

instruments

state

selected

and releases

understated.

carry coefficients

of similar

magnitude. Columns covariates

1-3 of Table

used in the previous

expected

the first-stage

section.

In all cases,

sign: a higher rate of prison commitments

are accompanied prison variables Releases

3 present

by crime increases. are jointly

and commitments

prison commitment period.

generally

not strong

predictors

using the same sets of

the instruments reduces

crime

in the bottom

enter with whereas

and economic

correlated,

implying

A one-percentage

variables

included

controlled

that this source

14

more releases the

level for all of the crime regressions.

of crime rates having

results.

the

panel of the table,

point increase

rate per crime shifts city crime by roughly

The demographic

are positively

at the .01

have similar effects.

or release

two-year

populations

significant

As reported

estimates

in the

six percent

in the regressions

over a are

for the other factors.

of bias cannot

explain

our

If prison commitments a negative

causal

city population

obtained

such estimates.

level.

link between

variables

in the first-stage

As predicted,

regressions.

a reduced

Columns enters

The prison variables

the magnitude

for crime rates and there form regression

should yield coefficients

each of the instruments

in the first three columns.

As in the first stage,

are valid instruments

crime and city populations,

on the instrumental

sign to those

observed

and releases

of

are opposite

4 to 6 of Table

significant

on commitments

in

3 present

with the opposite

are jointly

of the coefficients

that

is

sign at the .05 and releases

are comparable. Table endogenous

4 presents

the two-stage

and instrumenting

and releases.

The coefficients

on city crime that we obtain

city crime

compared

to estimates

that

OLS coefficient

the estimates

additional

results

are statistically

in roughly

in city populations

higher crime rates. suggest

that declining deviation

between

one and two

‘G If there

increase

percent.l

are lagged

population

changes,

the variation

are lagged)

from these

variables tendency

the standard

biasing the 2SLS estimates.

level.

estimates

Each

suggest

for large cities to have of Wilson

(1 987)

which

A one-

in city population

are treated

as exogenous,

from the specification, factors

errors

or compositional

into a decline which

in

in population,

and contemporaneous

omitted

15

more negative

crime rather than vice-versa.

that are omitted

(which

reduction

rates as

in commitments

Although

on the arguments

G The other covariates,

variables

with the instruments potentially

by the natural

“cause”

changes

are slightly 2.

city crime

The larger 2SLS

from omitted

cast some doubt

treating

from zero at the .05

in city crime rates translates

correlated

to our instruments

resulting

city populations

standard

different

1.1 from OLS.

is overwhelmed

Our results

in Table

a 1.3 to 2.0 person

of approximately

any bias in the OLS estimates

changes

estimates

with the once- and twice-lagged

each case than the corresponding rise substantially,

least squares

but are crime and

will mistakenly

be attributed

To test this hypothesis,

we

of

carry coefficients

similar to those

P-values bottom .05

level of statistical

fraction

ease in column argument

total

4, but are rejected

Comparing

of cities in our sample

according

of the instruments

in OLS estimates,

for cities that

towards

estimates

suggest

that,

zero because

in column

if anything,

of the inclusion

4, for which

the coefficients

to the

are large relative

4 and 5, the estimated

of their state.

This pattern

are actually

population

the erogeneity reported

pass with

is

slightly

(-1 .12 vs. -1. 19), of the instruments

in columns

is

1-3 are biased

of cities of all sizes.

Sect ion Ill: Usina Census Data to Identifv Income

of the state

restrictions

for cities that

the city crime coefficients

a

made

This lends credence

on city crime in columns

are less than four percent

The larger parameter more likely,

where

that represent

a city has more or less

The overidentifying

is suspect

poor performance

To test this hypothesis,

to whether

5.

in the

are near the

the arguments

are less persuasive.

at the .05 level in column

the coefficients

restrictions

For such cities,

population.

are reported

reason for the relatively

of crime is larger in the cities that are a small fraction

not apparent smaller

population.

4 break the sample

of the state’s

restrictions

the overidentifying

is the inclusion

of the instruments

that the erogeneity

to the state.

cases,

One possible

of the state’s

4 and 5 of Table

than four percent

impact

restrictions

for the erogeneity

columns

In all three

significance.

of the overidentifying

earlier

in the OLS specifications.

from an N*R2 test of the overidentifying

panel of the table.

non-negligible

reported

Differential

Effects

of Crime

on M iaration

bv

Group and Race

estimated variable presented

Table

4 including

to capture

the once-lagged

such omitted

factors.

dependent The results

in the table. 16

variable obtained

as a right-hand are almost

side

identical

to those

Because

the results

has been impossible this section,

to isolate

we perform

Census

of Population

income

group and race.

analysis

two types

and Housing

of analysis

households

as the dependent

advantages

of the latter characteristics

Analvzina

Census

mobility

sample,

identify

movers

remaining PUMS

variable

analysis

the migration

(as opposed

are that it makes

and that

it eliminates

ratio-bias

5 percent

in the PUMS

cities and surrounding

90 cities,

we limit our

but for sub-groups

of

of individual

aggregates). to control

9 are missing

of the

The

for individual

1980

data were

of the U.S.

in and out of 90 of the 137 cities analyzed

Of those

by

concerns.

sample

usable data for 2.5 percent

central

patterns

to the Citv Level

Only half of the observations leaving

it possible

In

data to the city level

decisions

to city-level

it

from the 1980

of 81 cities,

section,

data,

of the population.

migration

the individual-level

employs

population

information

crime-related

aggregates

approach

Data Aaareaated

47 cities,

data.

sub-groups

using mobility

to investigate

The data used are from the PUMS to the city-level.

among

that are similar to the preceding

The second

household

impacts

from aggregate

Since we only have a cross-section

regressions

the population.

differential

The first approach

to OLS.

and estimates

up to this point are derived

census,

aggregated

also included

population.

in the preceding

areas are not separately

in the

We are able to section. identified

data on one or more covariates,

In the in the

leaving

81

cities in our sample. To construct household stayers, within

the net migration

head in 1975 comers,

and 1980.

and goers.

data,

Households

Households

city limits are categorized

we compare

the place of residence

are divided

that do not move

as stayers.

Those

17

into three or change

of the

migration

categories:

addresses

but remain

who arrive in a city or leave the city

are classified comers

as comers

and goers

according

to whether

SMSAS.

Households

are also grouped

in 1979.

Households

with

1993

dollars)

$10,000

percent

with

income

and the remaining

according

below

as “low”

above

households

changes

and goers is computed

according

in income

city, with statistics

by income

as the denominator. over 1,000

patterns

percent.l

Net migration

rates were

17 Given the possible

endogeneity

households

1s This number populations be explained

is greater

by differences

city population of 5,856

are middle 1979

30

income,

income,

we

or to examine

of stayers, within

household

5,

Overall,

comers

the income

observations

cities in our sample.

in Table

per

Summary

net migration

(comers

for the five year period is approximately

of 1979

income,

attainment,

than the observed

for the cities in our sample

income.

Approximately

incomes

the fraction

larger for high income

by educational

between

“middle”

income.

in

and 1979.17

using 1975

population)

$20,000

income

we only have

we have data,

are presented

of 1975

classifying

1975

1979

50 percent

to their initial 1975

for the smallest

minus goers as a fraction E

Because

between

group,

“high”

from all sources

(roughly

are labeled

category,

We have an average

observations

on migration

dollars)

that level are considered

are high income.

with

divide

or across

income

dollars

Households

we further

is within

household

in 1979

in 1993

For each of the 81 cities for which

category

$10,000

income.

of residence

to total

fall into the low income

20 percent

to classify

within-household

their change

($20,000-$60,000

of the households

are unable

income

are classified

and $30,000

Households

In some of the analysis,

or goers respectively.

3 percent rates.

(-1 6,8

percent)

we have also examined

obtaining

over the period

in birth and death

households

between

birth and death changes

rates accounts

and net migration.

aggregate

1975-1980.

Annual

for a three percentage Overall, 18

and

mobility

similar patterns.

national

decline Most

in city

of that gap can

birth rates

(per 100

population) were approximately 1.5 in this time period; comparable death rate statistics were roughly 0.9. Assuming that the same rates apply to these cities, the differential population

-8

the correlation

point gap between between

city

city population

actually while

positive

the non-black

residing

population

in one of these

households with

for low income

households declined

central

left the SMSA;

households

New

percent).

by 10 percent.

cities in 1975

less likely to leave.

high income

(0.5

Blacks flowed

Roughly

had left that

of the new arrivals

60 percent

to central

of households

with

three-quarters

less likely to come to cities.

over 70 percent

30 percent

city by 1980,

arrivals to cities offset

into cities on net,

low income

of these

leavers,

of city out-migrants

cities came from

outside

the

SMSA. OLS estimates changes

in crime

of the relationship

rates are presented

than a panel of data, that

five-year

changes census

rather

in place of residence years,

Therefore,

specifications

in Table

in owner-occupied manufacturing family,

mean temperature

are available

and 1980 Column

combined.

changes

covariates

or the 1980 1 of Table

6 differ

The coefficient

and net-migration

rather

from earlier estimates

of city residents

completing

in the manufacturing

income,

and mean

percent

of housing

in

levels did not materially

affect

the estimates -1.39,

in our sample

is 0.45. 19

sector,

mean

hourly

are multi-

Census.

Using changes

the

percent

All of these

variables

The

1970

between

the crime coefficients.

for all cities and income

is consistent

section,

units that

by the U.S. 6.

in

high school,

annual precipitation.

in Table

on city crime,

is available

used in the previous

are used as controls

6 presents

rates and

to using a cross-section

A richer set of covariates

employed

family

in January,

in Table

in the Cit v and Cou ntv Data Books published

value of the census 1970

city median

In addition

to all the variables

6 add the fraction

in city net-migration

in crime rates are used (since only five-year

are available).

percent

changes

6.

shown

changes

in addition

housing,

wage,

in Table

the specifications than one-year

between

groups

with the estimates

of the

preceding

two

changes,

while

median

sections

family

growth,

and is statistically

carrying income

in a city is a statistically

significantly

Columns income

net migration income

different

response

of low income

crime over the five-year decline 0.8

in high-income

percent

with

decrease

no apparent

without rates.

children. While

families

with

the suburban

Because the specifications including

Families

in Table

a 2.0

the poor. across

High

of city population are not

children

of variables

Columns

the three

is associated

columns

three times

are imprecisely to suburban

is large relative

with

compare

crime

and region dummies to the inclusion

of the influences

in the bottom

percent and a

families

with

and

to city crime

it appears

that

of observations

in

from specifications

panel of the table

variables.

of children

a 4.3

rates.lg

to the number

of control

in city

on racial lines,

as responsive

estimated,

in across

households,

the city crime coefficient

20

change

The

Middle-

specifications

deviation

High

of -2.58.

as great.

5 and 6 divide the sample

are almost

(1 996).

group.

a coefficient

fall in middle-income

The last two

6, we also present

treatment

by income

of the crime coefficients

per capita)

percent

races.

of our results

19 For a more detailed

When

A one standard

crime coefficients

only the crime variables

estimated.

is less than one-fifth

response.

are also more responsive

the number

test of the sensitivity

Glendon

households

(0.01 65 crimes

with

crime

The other covariates

of net migration

we reject the equality

households, among

predictor

to city crime rates with

at the .05 level,

period

difference

children

jointly

groups

significant

estimates

have an intermediate

high and low income

Suburban

from zero.

separate

2-4 are estimated

level.

are imprecisely

and low rainfall.

are most responsive

households

columns

temperatures

2-4 provide

households

at the .10

the same sign as previously,

as are high January

statistically

significant

The estimates

on locational

choice,

as a are

see

similar

in all cases. Further

comers

patterns

and goers,

are revealed

and by whether

in Table

7 for city crime rates.

previous

table.

from Table (row

(row

Almost

possible recent Table

1).

overall

40 percent

remain

rates

The coefficient crime-related

decompose

in the

on goers

impact

the effect

on

by

on goers compared

is that current

residents

in-migrants.

(including

those

arises from increased to comers,

are better

Comparing

in the SMSA

One

informed

the bottom

70 percent

for blacks

out-

and families

who move for reasons

about

two

rows

of

of the time with

children).

other than crime),

in the SMSA.

Analvzin a Individual

Hou sehold

on individual

advantages.

covariates.

on city crime

on mobility

for the rich, more frequently

for all out-migrants

the coefficient rows.

to

is presented

to the categories

we further

cities due to crime remain

In contrast,

Focusing

impact

in crime than are potential leaving

This breakdown

(row 2) equals the total

and goers,

according

7 correspond

in the subsequent

by the large magnitudes

for this patterns

(less frequently

has two

in Table

lines.

effects

or across SMSAS.

all of the crime-related

explanation

7, those

comers

is within

as evidenced

changes

on comers

Within

the migration

migration,

cross SMSA

The columns

is then decomposed

5) minus the coefficient

whether

moves

the net migration

In each case, the first row redisplays

6, which

net-migration

by decomposing

Second,

household

First, it allows it eliminates

population

does not affect

performing

a household-level

Dec isions u sina Ce nsus Data

Mobilitv

mobility

the inclusion

concerns

the dependent analysis

decisions

of household

over ratio-bias variable,

aggregates

characteristics

since measurement

The primary

are the computational

21

rather than city-level

difficulty

costs.

as error in city

associated

For example,

with

to avoid

sample

selection

particular though

city,

bias when

one must include

only a trivial

fraction

We use the results choices

in reducing

demonstrates increased

that

on the decision

roughly

of current

dependent

the central crime

of city,

PUMS

remains

city before

at the sample state,

the first column, income

indicators

marital

status

(high, middle,

of the household

crime

for those

estimates

households

and low),

has a larger effect

residing

on those

400,000

exclusively

Doing so limits observations,

in Tables

or

1980,

change

in the per capita

moving

marginal

6 and 7.

With

array of househo/d-/eve/

where

and across SMSAS. within 22

the SMSA

the

cities leaves

effects

when

the full set

the exception

of

controls:

the age, sex, race, years of education, the household

For

reported

8a and 8b include

multinominal Iogit models

within

models

and zero if the household

in Tables

a wide

8a and 8b.

in one of the large central

used in Tables

and whether

with

moving

to stay or leave.

Probit and Iogit yield similar

also include

head,

7

we focus

from linear probability

the five-year

that were

the regressions

Table

from cities is due to

are presented

means. zo All specifications

20 We have also experimented effects

analysis

of crime.

and region controls

level.

sample.

As before,

the effect

even

into the city.

analysis

approximately

in that city through

1980.

into a

to guide our specification

in the following

about whether

mobility

we present

analysis

net migration

is equal to one if a household

in 1975

rate captures

evaluated

city residents

move

to a manageable

all of the crime-related Therefore,

or not to move in the estimation,

actually

city-level

burdens

of the individual-level

variable

in our sample

of the total households

of the preceding

of interpretation,

of whether

in the sample

of large cities in 1975,

of the 1980

The results simplicity

all households

of residents.

to residents

15%

the decision

the computational almost

outflows

the sample

estimating

and

head is a homeowner,

in

that allow for differential These

as would

results

suggest

be expected.

that

the armed

forces

in 1975,

error term

for households

Failing to account roughly

twenty

the crime variable

standard report

the corresponding

Table

8.

city.

to Table

city residents from moving Table

6, there with

to the suburbs. into the SMSA,

suburban

The second

effects,

estimate

from the comparable

changes

and population

purposes,

in the bottom

that suburban

Table

in the fact that the

1.61

residents

panel of

of

leaving

offsetting

the

those

effects

here. on

the outflow

outside

The net migration

8, which

we

crime rates matter

by reducing

is to discourage

of the impact

of

the SMSA

regressions

in

looks only at the decision

of city crime in column

value from the aggregated

regressions account

effect

gain in moving

for the full sample

with

in

only the former.

the individual-level

cannot

controls

are

all of the variation

regressions

city population

whereas

Since the aggregated

ratio-bias

that

For comparison

city population.

panel of the table.

that

error estimates

crime rates having two

is to increase

to stay or go, reflects

The household-level indistinguishable

is some evidence

errors.

as reflected

crime is associated

depressing

both of these

on city residents

only aggregate

reported

The first effect

6 capture

estimation,

in the

the standard

very little information

from the city-level

8a includes

is consistent

city population.

is actually

for correlation

Because

7 and 8 are not very different.

Each additional

In contrast

We account

leads to standard

to individual-level

coefficient

1 of Table

This difference

correlations

is at the city level, there

errors in Tables

households.

in 1975.

too small on the crime coefficients.

aggregates

Column

college

in a given city so as not to understate

for within-city

times

from city-level

or attends

regression

do not, the similarity for the observed

changes.

23

1 of Table

regression

in the bottom

potentially

suffer

of the two

sets of estimates

negative

relationship

from ratio-bias,

between

8 is

but

suggests

crime

rate

Column

2 of Table

8a is identical

household-level

controls

these

significantly

variables

improve

This increases

Ievel aggregates,

where

Having

for city-level

black,

have children,

stay in central

there

the R2 of the regression,

our level of confidence

was concern characteristics

Members

of the military

and those

likely to leave the city.

The only surprise

for these

the rich are somewhat

income.

High income

muted

compared

income

groups.

non-blacks. interesting blacks, factors, sample

6.

difference

columns

blacks

is associated there

into households

with

effect

with

is no such effect. and without

more likely to leave central

families

children

with

children,

are somewhat

whereas

the opposite

college

are far more

to household

but the differences

is the effect

in central

cities,

Households

cities in response

between across

races.

controlling

with

is true of households

without

children

children.

and

The most non-

for other

of Table

to rising crime.

across

Among

8b split the are

High income

more likely to leave cities than low income

24

are

blacks

of income.

The final two columns

Sect ion IV: co nclusions

controlled

in cities.

according

of crime is observed

children.

male,

is that having

8b divide the sample

remaining

using city-

tend to carry similar coefficients

and non-blacks

of crime

are more likely to

more likely to remain

of Table

substantially with

attending

to crime,

while

was incomplete,

attainment

the coefficients,

are more sensitive

impact

heads who are young,

8a divide the sample

little differential between

blacks,

among

The other covariates

The first two

As before,

With

of Table

households

to Table

high income

household educational

columns

the estimated

that the set of controls

of

to note that

in the earlier estimates

or have lower

other factors,

that a full complement

It is interesting

are single,

cities,

The last three

1 except

are added to the specification.

is little changed.

controlled

to column

families

This paper examines

the connection

decline.

Rising city crime rates appear

reported

city crime

There

is associated

is some evidence

Instrumenting

than OLS.

increased

out-migration

income poor.

households

migrants

to play a causal approximately

Almost

of criminal

justice

all of the impact

with

are much

urban flight,

rather than a decrease

children

role in city depopulation.

a one person

system

decline

in new arrivals. to changes

the SMSA

city

Each

in city residents.

tend to keep people

severity

yields slightly

Migration

in cities.

larger is due to

decisions

of high-

in crime rates than those

are also more responsive

more likely to stay within

and central

of crime on falling city population

are much more responsive

Households

crime,

that rising crime rates in the suburbs

using measures

estimates

with

between

to crime. than those

Crime-related leaving

of the out-

the city for

other reasons. Increases

in crime rates and the subsequent

of costs on those residents

is the direct

the quartile double

costs of increased

reported

crimes

for cities in the bottom

and Miller,

Cohen,

incorporating

out-of-pocket

and lost life,

Valuing

1993

who remain

of cities with the greatest

from 0.065

unchanged (1 988)

city residents

has victim

21 The total life. If the value falls to $6,100,

costs,

estimated

The most obvious

increase

to O. 127;

(0.069

(1 993)

physical

in 1973

victim

associated

the typical with

25

years,

crime roughly essentially

in 1993).

Cohen

costs per crime,

damages,

lost productivity,

crime reported

it,21 The difference

to be $1,0

cost to city

rates were

to 0.074

and psychological

million,

life is assumed

crime

estimate

a number

Over the last twenty

in crime saw per capita

costs of crime are sensitive

of a human

from the city impose

crime victimization.

quartile

a lost life at $2.7

costs of $10,200

behind.

per capita

and Rossman

exodus

to the value

in large cities

in crime

assigned

million dollars,

in

increases

to a human

the cost per crime

between

top and bottom

Since the estimated reported

In addition

to the direct

in property

elasticity

of housing

long run (1 O year) employment

with

elasticity

of the city population) low quartile

is capitalized

into housing

-- an additional

capitalized

concentrations

crime-related

large,

category,

percent

were

(Smith

1978,

if the direct

22 Declining

mobility

in central

In 1975, 50 percent

high income.

6, the increases

victimization

$16,000

of poverty

income

additional

values

values

causing

(1 -5 year)

in population

intermediate

between

decline

between

in median

1978,

two

and a

and

top and bottom

will also decrease Thaler

for housing,

further

levels of approximately declines

into a $5,500

imposes

find the short-run

an elasticity

differential

Property

crimes

those

quartile housing

cities

(7

values

in

if the disamenity

and Hellman

costs of crime computed

above

two

of crime

and Naroff are fully

.22

Because

particularly

Assuming

translates

cities.

per year.

only those

migration

the demand

to employment

and taking

migration

crime-related

and Katz (1 992)

respect

per person

sets of cities includes

decreases

close to zero.

the crime-related

high versus

1979)

value

have similar effects

estimates, percent

costs of crime,

Blanchard

$600

in costs may be even greater.

city population

values.

into almost

the two

the true difference

Decreased

costs on cities.

cities translate

crime gap between

to the police,

declines

quartile

roughly were

is concentrated cities,

30 percent classified

values

cost to city residents, cited

of central

to be

fell into our low

and the remaining

would

by income

of the direct

20

group in Table

have caused

of the disamenity

are a reflection

26

city residents

income

cities by 1993

above.

do not appear

of net-migration

due to capitalization but rather

the rich, crime will increase

the effects

as middle

Using our estimates

in crime in the top quartile

housing

although

among

the fraction

do not entail costs of

an

of high income rise to 31.6 magnitude

residents

percent,

to fall to 18,2

While

it is unlikely

could be substantively

households

imposes

extent

peer effects

that

Benabou

1993,

negative

Cutler

percent

and the fraction

that the real economic

large, it is possible

externalities

are important and Glaeser

on those

to human

1995),

of low income effects

that the decline who remain

capital

the exodus

to

of a change

of this

in the number

of rich

in the central

development

residents

city.

To the

(Case and Katz

of skilled residents

1991,

hurts those

who

stay. Fiscal stress

on city government

mobility

patterns.

services

such as police protection,

hospitals, spending

In particular, on police,

crime difference per capita private

Low-income

health

23 These

top and bottom

quartile

Public education

represented

estimates

public transportation,

U.S. cities,

cities translates

costs are greater educational

from city finance

and city increases

in future

we estimate

that the

into an additional

$30

for low-income

programs.24

Combining

data for the years

1976,

the

1981,

either the current crime rate, the five-year lagged change in crime, or both. We include same covariates as in Section II of the paper. When entered separately, the coefficient

the on

per capita

is 696

same regression, individually,

is 648

(SE= 225)

(SE= 262).

When

and the coefficient

significant,

on five-year

both the level and changes

both enter positively.

statistically

in police expenditure

who

on

per capita

lead change

children,

by

per capita

crimes

the five-year

with

public

The poor are also less likely to be covered

in special

are obtained

We regress

and differential

need for locally-provided

from the 59 largest

in police expenditure.23

insurance.

and 1991.

will have greater

public education,

Using panel-data

are disproportionately

1986,

residents

high and rising crime rates are associated

between

annually

is likely to be linked to rising crime

The two

coefficients

Full regression

results

lagged

changes

in crime are included

are jointly, are available

in crime in the

but not from the authors

on request. 24 Crime

also carries

with

generally not borne by cities. If there are increasing governments,

declining

it large costs for courts, returns

populations

jails, and, prisons,

to scale in goods and services lead to inefficiencies 27

in producing

but these

provided

by city

such goods.

are

estimated

declines

expenditure,

in housing

for a fixed

between

top and bottom

property

tax revenue.25

about

14 percent

Wilson

1983),

Empirical

property

quartile

In comparison,

returns

levels of police

of differential 40%

of the mean

in Massachusetts

after the passage

rates

city’s

anticipated

of Proposition

fell by 50 percent

crime

losing

2 X (Ladd and

in California

after

13.

however,

constant

into roughly

municipalities

tax revenues

of Proposition

tax rate, the impact

cities translates

of total tax revenue

evidence,

by roughly

effective

and property

implementation

value due to crime with the increased

suggests

that the production

to scale (Bergstrom

of these

and Goodman

goods is characterized

1973,

Gonzalez

and Mehay

1987), 25 Crime income within

taxes,

is also likely to reduce on a per capita

the SMSA

Consequently, proportionately increase overstate

suggests

other sources

basis,

that

many

of city revenues,

such as sales taxes

The fact that most of the crime-related will continue

to work

in the central

movers

city.

the tax losses through these other channels is likely to be smaller than via property taxes. Also, to the extent that state governments

aid to cities experiencing

fiscal stress

the true costs borne by city residents. 28

(Yinger

and Ladd 1989),

this figure

and

remain

may

Table

1: Summary Mean

Variable

392986

City Population City Crime Suburban

Per Capita Crime

Statistics

for Panel Data,

Std. Dev. 727,406

Minimum 94,320

1976-1993 Maximum 7,530,493

.090

.025

.037

.207

.047

,015

.013

.125

.066

.025

.015

.208

18,521

2,916

11,028

29,159

.229

.174

.004

.836

.272

.025

,197

.375

Per Capita SMSA

Unemployment

Rate State

Real Income

Per

Capita O\OBlack State

Age Distribution:

0-17

years

18-24

years

.121

,013

.085

.154

25-44

years

.300

.029

.233

.364

45-64

years

.190

.013

.139

.231

.117

.020

.075

.186

.022

.012

.004

.087

.019

.011

.001

.082

.004

.032

-.169

.265

.0006

.0084

-,0471

.0540

-.0001

.0056

-.0280

.1377

.0012

.0030

-.0132

.0283

.0011

.0036

-.0301

.0213

65 years

and up

State Prison Commitments/ Reported State

Crime

Prison Releases/

Reported

Crime

A In(City

Population)

A (City Crime

Per

Capita) A (Suburban

Crime

Per

Capita) A Prison Commitment Rate A Prison Release

Rate

Notes U.S.

to Table central

occasional

1: Sample

cities with missing

and release

is comprised

population

data,

number

data are defined

of annual observations

greater

than

100,000

of observations

at the state

is equal to 2,165.

level and are changes

All other data are defined

at the city level unless otherwise

available

annually

YO high school graduates,

0/0 black,

which

decennial

census

except

are available years.

only in census

years.

from

1976-1993

in population

for 137

in 1975.

Due to

Prison commitment

in rates per reported

noted.

All variables

YO home-owners, % black is linearly

crime.

are

YO manufacturing, interpolated

and

between

Table

2: OLS Estimates

of the Relationship

Variable A (Per Capita

(1)

(2)

-1.039

-1.035

City Crime)

(.076)

A (Per Capita Suburban Per Capita Crime

City Population

(3)

(.075)

-.992

-1.024

-1.123

(.0786)

(.078)

(.082)

(.086)

.525

.424

.448

.499

.440

(.104)

(.105)

(.108)

(.121)

(.124)

City

----

----

----

----

Rate

Per Capita Os (-1) (-1 )

YO aged 0-17

(-1)

18-24

YO aged 25-44

YO aged 45-64

‘AA state f-l)-,

----

----

(-1 )

(-1)

% aged

(6)

.539

Unemployment

YO black

(5)

(.104)

Crime

lncome*l

(4)

Rate

-1.135

(-1 )

Suburban

and Crime

Crime)

Per Capita

State

Between

(-1)

(-1 )

(-1 )

population

.002

-.058

-.052

(.032)

(.066)

(.069)

-.046

.082

,148

(.056)

(.127)

(,134)

-.045

-.139

-.228

-.046

-.146

-.232

(.032)

(.050)

(.058)

(.032)

(.050)

(.062)

.11

.43

.38

.24

.48

.64

(.57)

(1.28)

(2.48)

(.58)

(1.30)

(2.54)

-.034

.028

-.019

-.033

.039

-.014

(,004)

(.039)

(.042)

(.005)

(.039)

(.043)

-.031

-.594

-.193

-.046

-.574

-.107

(.085)

(.177)

(.280)

(.086)

(.180)

(.283)

.568

-.668

-.285

.504

-.723

-.416

(.127)

(.286)

(.396)

(.133)

(.295)

(.401)

-.045

-.952

-.704

-.086

-.949

-.689

(.076)

(.260)

(.362)

(.078)

(.267)

(.369)

.207

-.601

-.073

.167

-,631

.023

(.151)

(.242)

(.410)

(.154)

(.257)

(.418)

.543

.634

(.096)

.356

.560

.644

.334

(.097)

(.129)

(.194)

(.124)

(.191) . .

No

Yes

Yes

No

Yes

Yes

No

No

Yes

No

No

Yes

.310

.390

.490

.315

.393

.495

City Fixed Effects? Region-year interactions R-squared Notes:

Dependent

observations 100,000

from

variable

is Aln(city

1976-1993

in population

for 137

in 1975.

population). U.S.

Number

Sample

central

of observations

Year and region dummies

are included

in all columns

interactions

All variables

are available

linearly

are present.

interpolated

between

about the level of geographic heteroskedasticity

decennial

census

is comprised

cities with

is equal to 2,165

greater

than

in all columns.

except those where region-year annually, except for YO black, which is See Table 1 for further information years.

disaggregation of the covariates. Standard errors in parentheses.

by city size.

of annual

population

Estimates

control

for

Table

3: First-stage

and Reduced-form Releases

on Crime

A per capita

(1)

Variable

Crime

of State

Prison Commitments

and

Rates and Citv Populations

city crime

(3)

0/0 A city population

(4)

(5)

(6)

-.405

-.393

-.283

.457

,317

.274

Per

(.085)

(.087)

(.108)

(.300)

.295)

(.368)

-.192

-.173

-.027

.988

.945

.999

Per

(.095)

(.097)

(.117)

(.336)

.330)

(.404)

.413

.407

.282

-,689

.742

-.703

(.076)

(.078)

(.090)

(.270)

(.264)

(.312)

A Prison Commitments

(2)

Estimates

(-1)

A Prison Commitments Crime

(-2)

A Prison Releases Per Crime

(-1 )

A Prison Releases Per Crime

(-2)

.303

.300

.157

-.464

-.544

-.857

(.014)

(.076)

(.091)

(.262)

(.256)

(.311)

Unemployment

-.003

-.008

-.052

-.041

-.129

-.187

Rate*

(.009)

(.014)

(,017)

(.032)

(.048)

(.061)

.23

.66

.06

-.14

.34

-1.95

(.16)

(.36)

(.07)

(.55)

( 1.20)

(2.36)

100

(-1)

State Per Capita Income*IOG (-1] ‘A black (-1)

YO

aged 0-17

YO aged

18-24

YO aged 25-44

YO aged 45-64

(-1)

(-1 )

(-1 )

(-1 )

.003

.010

.001

-.035

.034

-.005

(.001)

(.011)

(.012)

(.004)

(.037)

(.039)

-.546

-.284

(.171)

(.267)

.007

.009

-.044

-.025

(.023)

(.051)

(.076)

(.083)

-.057

-.119

-.019

.601

-.577

-.278

(.036)

(.084)

(.111)

(.126)

(.283)

(.390)

-.038

-.073

-.091

.013

-.742

-.391

(.021)

(.077)

(.101)

(.074)

(.258)

(.353)

-.016

-.020

-.360

.236

-.486

.519

(.042)

(.070)

(.110)

(.147)

(.239)

(.386)

-,052

-.084

-.023

.616

.718

.349

(.027)

(.036)

(.055)

(.031)

(,123)

(.189)

City Fixed Effects?

No

Yes

Yes

No

Yes

Yes

Region-Year

No

No

Yes

No

No

Yes