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Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin- Madison

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Page 1: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Alternative Measures of Urban Form in U.S. Metropolitan Areas

Stephen Malpezzi

Wen-Kai Guo

University of Wisconsin-Madison

Page 2: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

What is sprawl?

Most writers and activists fail to define sprawl. Some elements of a definition might include:

– Low density

– Discontiguous (“leapfrog”) development

– Lack of public open space Other outcomes that may or may not be associated with

sprawl include:

– High auto use, low transit use

– Differences in the cost of public services

– Excessive loss of farmland

Page 3: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Overall Plan for Malpezzi and Guo

Estimate a number of candidate measures of urban form

– MSA specific indexes, based on Census tract data Which incorporate the ‘most information’ about form?

– Regress each index against other indexes, examine fit and t-statistics

Which are reasonably related to determinants?

– Regress each index against a reasonable set of determinants

Link to second paper: take the best index, and run with it.

Page 4: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Candidate Indexes

Average MSA density Sort tracts by their density. Pick density of tract containing the “median

person.”

– Many variations on this theme. Estimate exponential density models

– Univariate: intercept as well as delta, compare to flexible forms. Incorporate measures of fit.

Measures of dispersion

– Gini, Theil indexes Weighted average distances

– to center; to all tracts Gravity measures Spatial autocorrelation

Page 5: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Selected Previous Research

A number of ‘sprawl’ papers examine average metropolitan density (Brueckner and Fansler, Peiser)

Many papers examine population density gradients, and related measures (Mills, Muth, etc., see McDonald review)

Compare and evaluate alternative measures

– A fair number evaluate, e.g., power terms, test SUE model against a flexible alternative (e.g. Kau and Lee)

– Only a few examine a fair range of alternatives (e.g. Song)

Page 6: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Sprawl, Related Issues

Bertaud and Malpezzi demonstrate that, in fact, cities like Paris and Los Angeles have much more efficient form than Seoul or Moscow, or Johannesburg.

What are the specific costs of sprawl which give rise to this concern? Are there benefits to “sprawl?” What are the most efficient policy responses?– E. Mills and B. Song, Urbanization and Urban Problems. Harvard,

1979.

– G. Ingram, Land in Perspective. In Cullen and Woolrey, World Congress on Land Policy, DC Heath, 1982

– A. Bertaud and S. Malpezzi, The Spatial Distribution of Population in 35 World Cities

Page 7: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Measuring Sprawl

Since sprawl is hard to define, it’s not surprising few papers have tried to measure it.

Many papers rely on average population density in the metro area. Our usual density gradients

– including power terms, R-squared Moments of tract density Gini coefficients, Theil information measures Distance/gravity measures Techniques of measuring spatial autocorrelation Data reduction (principal components?)

Page 8: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Measuring Sprawl

Our initial measure will rely on tract densities within MSAs.

Sort each MSA’s census tracts by density, lowest to highest. Use the density of the tract containing the 10th percentile of MSA population, when tracts are so ordered.

– Can use other percentiles (median, quartiles, etc.)

– A better measure of density at the fringe.

– Pros and cons? Under development: average lot size for a “new” single

family house, from AHS

Page 9: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Example of a measure based on order statistics: the average density of the tract containing the median of the MA population, when tracts are ranked by density.

Tract TractN Density Population1 10 302 9 303 8 104 7 105 6 106 5 57 4 5

Our MA has 7 tracts, total pop. is 100. Where is person 50?

Page 10: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

The measure we focus on today.

The average density of the tract containing the 10th percentile of the metropolitan area’s population, when tracts are ranked by density. Say it 10 times, fast.

Pros:– Distinguishes between MAs with a lot of open space, and those

without.– Gets at density on “the margin” without a particular assumption

about monocentricity. Cons:

– There’s no guarantee that this “fringe” tract is really on the fringe.– The usual issues with using “gross” tract densities.

Page 11: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Costs and Benefits of Sprawl: The “Pure Cost” View

Density of Development

$

Maximum feasible density, under current rules and practices

Costs per housing unit fall with density

Figure 1

Page 12: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Costs and Benefits of Sprawl: The Cost-Benefit View

Density of Development

$

Maximum feasible density

Costs fall with density

Willingness-to-pay first rises, thenfalls, with density

Maximize Benefit-Cost

Figure 2

Page 13: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Costs and Benefits of Sprawl: The Cost-Benefit View, with Externalities

Density of Development

$

Maximum feasible density

Private costs

Willingness-to-pay

Maximize PrivateBenefit-Cost

Social costs (= private costs + external cost)

Maximize SocialBenefit-Cost

Figure 3

Page 14: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Pop

ulat

ion

Den

sity

Distance from CenterFigure 1-A

Page 15: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Pop

ulat

ion

Den

sity

Distance from CenterFigure 1-B

Page 16: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

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Metropolitan Area Average Density

Figure 2

Page 17: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

10

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10,000 100,000 1,000,000 10,000,000 MSA Population

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Density of Census Tract ContainingMedian Person

Figure 3

Page 18: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

1

10

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1,000

10,000

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10,000 100,000 1,000,000 10,000,000 100,000,000

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First Decile of Census Tract DensitiesAnd MSA Population

Figure 4

Page 19: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

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Population Density GradientOne Parameter Model

Figure 4

Page 20: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

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10,000 100,000 1,000,000 10,000,000 MSA Population

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Fit of Population Density GradientOne Parameter Model

Figure 5

Page 21: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

2

4

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8

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Inte

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pt

10,000 100,000 1,000,000 10,000,000 MSA Population, 1990

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CTE

OMH LVL

BIR

WCH SACTPA

NFKROCAKR

CPX

JC

BAT

ANH

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COS

SHRLEX

JMSMOBDTNDES

GRRMTG

KNX

ANC

LBK

FWA

INC

SPK

MAD

RVR

CGA

SYRCNO

LSV

SLK

WORFLT

LRA

TACPRV

GNC

SMAGRY

RLG

AMRSTCHAL

SAVRKF HRTSMO

EVNLAN ORL

NHAPEOERI

TPK

BEUMAC

YNGCDR

SBN

OXN

ANNMOD

EUG BAK

ALN

WAT

BDC

BOI

ALBWAC CSC

RNOROA

SILABL CTN

TRNLAR

ODS

SLM

GBY

SRS

TAL

GNV

SIX

AUR

SNSVAL

KALKEN

SAG

BDR

WLO

WIL

CSC

BLGATC

SWVWPB

CMOFAR APLCHM

GSC

GFM BNH DAB

BIN

HBG

EAUCAS

JWI

YAXVIS

BXI SRALAC

LKL

CHYMEL

RCY KIL

YRK

BILBUR

FTM

RLD

WAS

MCH

BRD

NLN

MSX

MON

BROLHM

LWL

NSH

SGMNIA

JOLHMO

LEO

NBC

BRZ

GALRAC

DNB

ORG

STM

VMBBEV

FLR

PAW

SCZALGAXL

ALT

ANI

ANSANA

ASN

ATH

AUGBGR

BCRBEL

BNT

BSM

BRM BRN

BRY

BUR

CVL

CCO

CHTCUM

DAN

DAV

DCA

DCI

DOT

DBQ

DUL

ELK

ELM

ENDFYN

FAZ

FIM

FAL

FSC

FCL

FPCFSA

FWBGAD

GLN

GFK

GRYHAG

HIK

HTL

HAW

IOW

JMI

JTN JNC

JDNJKB

JHN

JOP

KNKKOK

LFL

LFI

LCL

LAN

LCN

LWKLAW

LEW

LIM

LMT

LYNMNO MEMMDO

MRC

MDT

MNL

MUN

MUS

NPL

NBM

OCL

OLY

OWN

PCF

PRK

PAS

PEN

PBAPTM

PME

PDR

PKE

PRO

PUE

RDG

RDC

RCM

STC

STJSNG

SBR

SFE

SWB

SHN

SBY

SDT

SXCSCP

SWOTHA

TEX

TUS

TYL UTR

VTX

WWVWFT

WMPWNC

YCCYAZ

Intercept from Univariate ExponentialPopulation Density Gradient

Figure 6

Page 22: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

0.00

0.10

0.20

0.30

0.40

0.50

0.60

Imp

rov

em

en

t in

R-S

qu

are

d

10,000 100,000 1,000,000 10,000,000 MSA Population, 1990

NYCHI

LA

PHLHOUNAU

DET

DAL

SDIPHX

BAL

SAT

IND

SF

MEM

DCMIL

SJSCLE

JKLCOL

BOSNO

SEA

DEN

NSH

STLKCMLAK

ELP

ATL

PGHOKC

CIN

FWO

MINPOOHON

TULBUFTDO

MIA

AUS

OAK

ABQ

TUC

NWK

CTEOMH

LVL

BIR

WCH SAC

TPA

NFK

ROC

AKRCPXJC

BAT

ANHRCH

FRO

COS

SHR

LEX

JMSMOB

DTN

DES

GRR

MTGKNX

ANC

LBK

FWA

INC

SPKMAD

RVR

CGA

SYR

CNOLSV

SLK

WOR

FLTLRA

TAC

PRV

GNC

FTL

SMAGRY

RLG

AMR

STCHAL

SAV

RKF

PAT

HRTSMO

EVN

LANORL

NHA

PEO

ERI

TPK

BEU

MAC

YNG

CDR SBN

OXN

ANN

MOD

EUG

BAK

ALN

WAT

BDC

BOIALB

WAC

CSC

RNO

ROA

SIL

ABLCTN

TRN

LAR

ODS

SLM

GBY

SRS

TAL

GNV

SIX

AUR

SNS

VAL

KAL

KEN

SAG

BDR

WLO

WILCSC

BLG

ATC

SWVWPB

CMO

FAR APLCHM

GSC

GFM

BNH

DAB

BIN

HBG

EAU

CAS

JWI

YAX

VIS

BXI

SRA

LAC LKL

CHY

MEL

RCY

KIL

YRK

BIL

BURFTM

RLD

WAS

MCH

BRD

NLN

MSX

MON

XBO

BRO

LHMLWLNSH

SGM

XBN

NIA

XCH

JOL

XCN

HMO

XCL

LEO

XDLXDV XDTXHRBRCMDC

NBC

XHO

BRZ

GAL

XMMXMW

RAC

DNB

NRC

ORG

STM

XPH

VMB

XPT

BEV

XPVVAN XPR

FLR

PAW

XSF

SCZ

XSE

ALGAXL

ALT

ANI

ANS

ANA

ASN

ATH

AUGBGR

BCRBEL

BNT

BSM

BRM

BRN

BRY

BUR

CVL

CCO

CHT

CUM

DAN

DAV

DCA

DCI

DOT

DBQ

DUL

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ELM

END

FYN

FAZFIM

FAL

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FCL

FPCFSA

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GLN

GFK

GRY

HAG

HIK

HTL

HAW

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JMIJTN JNC

JDN

JKB

JHNJOPKNK

KOK

LFL

LFI LCL

LAN

LCN

LWK

LAW

LEW

LIM

LMT

LYN

MNOMEM

MDO

MRC

MDT

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NBMOCLOLY

OWNPCFPRK

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SHN

SBY

SDT

SXC

SCP

SWOTHA

TEX

TUS

TYLUTR

VTX

WWV

WFT

WMP

WNC

YCCYAZ

Change in R2 of Negative Exponential,From Linear to 4th Power Models

Figure 8

Page 23: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

Gin

i Ind

ex

10,000 100,000 1,000,000 10,000,000 100,000,000 MSA Population

NY

CHI

LA

PHL

HOU

NAU

DET

DAL

SDI

PHX

BAL

SAT

IND

SFMEM

DC

MIL

SJS

CLE

JKL COL

BOS

NO SEA

DEN

NSH

STL

KCM

LAK

ELP

ATL

PGH

OKC

CIN

FWOMIN

POO

HON

TUL

BUF

TDO

MIA

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ABQ

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NWK

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SAC

TPA

NFKROC

AKR

CPX

JC

BAT

ANH

RCH

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SHR

LEX

JMSMOB

DTN

DES

GRR

MTG

KNX

ANC

LBK

FWA

INC

SPK

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RVR

CGA

SYR

CNO

LSV

SLK

WORFLT

LRA

TAC

PRV

GNC

SMA

GRY

RLG

AMR

STC

HAL

SAV

RKF

HRT

SMO

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ORL

NHA

PEOERI

TPKBEU

MAC YNG

CDR

SBN

OXN

ANN

MODEUG

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ALN

WAT

BDC

BOI

ALBWAC

CSC

RNO

ROA

SIL

ABL

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TRN

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SIX

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KALKEN

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WIL

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BLG

ATCSWV

WPB

CMO

FAR

APL

CHM

GSC

GFM

BNH

DABBIN

HBG

EAUCAS

JWI

YAX VIS

BXI SRALAC

LKL

CHY

MEL

RCY

KIL

YRK

BIL

BUR

FTM

RLD

WASMCH

BRD

NLN

MSX

MON

BROLHM

LWLNSH

SGM

NIA JOLHMO

LEO

NBC

BRZGAL

RAC

DNB

ORGSTM

VMB

BEV

FLR

PAW

SCZ

ALG

AXL

ALT

ANI

ANS

ANA

ASN

ATH

AUG

BGR

BCR

BEL

BNT

BSM

BRM

BRN

BRY

BURCVL

CCO

CHT

CUMDAN

DAV

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DCI

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DBQDUL

ELK

ELM

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LAW

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MDO

MRC

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NPL

NBM

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OWN

PCF

PRK

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PROPUE

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STJ

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SFE

SWB

SHN

SBYSDT

SXC

SCP

SWO

THATEX

TUS

TYL

UTR

VTX

WWV

WFT

WMP

WNC

YCC

YAZ

Gini Indices of Census TractDensities and Population

Figure 9

Page 24: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

0

10

20

30

40

50

Av

g S

tra

igh

t-L

ine

Dis

t. t

o C

en

ter,

km

10,000 100,000 1,000,000 10,000,000 MSA Population

NY

CHI

LA

PHL

HOU

NAU

DET

DALSDI

PHXBAL

SAT

IND

SF

MEM

DC

MILSJS

CLEJKL COL

BOS

NO

SEA

DEN

NSH STLKCMLAK

ELP

ATL

PGH

OKC

CIN

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MIN

POOHON

TUL

BUFTDO

MIAAUS

OAK

ABQ

TUC

NWK

CTE

OMH

LVL

BIR

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SAC

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NFKROC

AKR

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JC

BATANHRCH

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SHRLEXJMS

MOB DTN

DES

GRR

MTG

KNX

ANC

LBK

FWA

INC

SPKMAD

RVR

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SLK

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GNC

SMA

GRY

RLG

AMR

STC

HALSAV

RKF

HRT

SMO

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ORL

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PEO

ERI

TPK

BEU

MAC

YNG

CDR SBN

OXN

ANNMOD

EUG

BAK

ALN

WATBDC

BOI

ALB

WAC

CSC

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ABL

CTN

TRN

LARODS

SLM

GBY

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SIX

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VAL

KALKEN

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CSC

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CHM

GSC

GFM

BNH

DAB

BIN

HBG

EAU

CAS

JWI

YAX

VISBXI

SRA

LAC

LKL

CHY

MEL

RCY

KIL YRK

BILBUR

FTMRLDWAS

MCH

BRD

NLNMSX

MON

BRO

LHM

LWLNSH

SGM

NIAJOL

HMO

LEO

NBC

BRZ

GAL

RACDNB

ORG

STM

VMB

FLR

PAWSCZ

ALG

AXL

ALTANI

ANSANA

ASNATH

AUG

BGR

BCRBEL

BNT

BSM BRM

BRN

BRYBUR

CVL

CCOCHT

CUMDAN DAVDCA

DCI

DOT

DBQ

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ELK

ELMEND

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IOW

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KNKKOK

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LCN

LWK

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LEW

LIM

LMT

LYN

MNO

MEMMDO

MRC

MDT

MNL

MUN

MUS

NPL

NBM

OCL

OLY

OWN

PCF

PRK

PAS PEN

PBA

PTM

PME

PDR

PKE

PRO

PUE

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RDC

RCM

STC

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SBR

SFE

SWB

SHN

SBY

SDT

SXC

SCPSWOTHA

TEX

TUSTYL

UTR

VTX

WWV

WFT

WMP

WNC

YCCYAZ

Average Distance to Center of MSA

Figure 10

Page 25: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

0

10

20

30

40

50

60

Me

d S

tra

igh

t-L

ine

Dis

t. t

o C

en

ter,

km

10,000 100,000 1,000,000 10,000,000 MSA Population

NY

CHI

LA

PHL

HOU

NAU

DETDALSDI

PHXBAL

SATIND

SF

MEM

DC

MILSJS

CLEJKL

COL

BOS

NO

SEA

DEN

NSH STLKCM

LAK

ELP

ATL

PGHOKC

CIN

FWO MIN

POOHONTUL

BUFTDO

MIAAUS

OAK

ABQTUC

NWK

CTE

OMH

LVL

BIR

WCH

SAC

TPA

NFK

ROC

AKR

CPX

JC

BATANHRCH

FROCOSSHRLEX

JMSMOB

DTN

DES

GRR

MTG

KNX

ANC

LBK

FWA

INC

SPKMAD

RVR

CGA

SYRCNOLSV

SLK

WORFLT

LRA

TAC

PRV

GNC

SMA

GRY

RLG

AMR

STCHAL

SAVRKF

HRT

SMO

EVN LAN

ORL

NHA

PEO

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BEU

MAC YNG

CDR SBN

OXN

ANNMODEUG

BAK

ALN

WAT BDCBOI

ALB

WAC

CSC

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ABL

CTN

TRN

LARODS

SLMGBY

SRS

TALGNV

SIX

AURSNS

VAL

KALKEN

SAG

BDR

WLO

WIL

CSC

BLG

ATCSWV

WPB

CMO FAR

APL

CHM

GSC

GFM

BNH

DAB

BIN

HBG

EAU

CAS

JWIYAX

VIS

BXI

SRA

LAC

LKL

CHY

MEL

RCY

KIL YRK

BIL

BUR

FTMRLD

WAS

MCH

BRD

NLN MSX

MON

BRO

LHM

LWLNSHSGM

NIA

JOL

HMO

LEO

NBC

BRZ

GAL

RAC

DNB

ORG

STM

VMB

FLR

PAWSCZ

ALG

AXL

ALTANI

ANS

ANAASN

ATH

AUG

BGR BCRBEL

BNT

BSM

BRM

BRN

BRYBURCVL

CCOCHT

CUM

DAN

DAV

DCA

DCI

DOT

DBQ

DUL

ELKELMEND

FYNFAZ

FIM

FAL

FSC

FCL

FPC

FSA

FWB

GAD

GLN

GFK

GRYHAG

HIK

HTL HAW

IOW

JMIJTN JNC

JDN

JKB

JHN

JOP

KNK

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LFL

LFI

LCL

LAN

LCN

LWKLAWLEW

LIM

LMT

LYNMNO

MEM

MDO

MRC

MDT

MNL

MUN

MUS

NPL

NBM

OCL

OLY

OWN

PCF

PRKPAS PEN

PBAPTM

PME

PDR

PKE

PRO

PUE

RDGRDCRCM

STC

STJSNG

SBR

SFE

SWB

SHN

SBY

SDT

SXC

SCPSWOTHA

TEXTUSTYL

UTR

VTX

WWV

WFTWMPWNCYCC

YAZ

Median Distance to Center of MSA

Figure 11

Page 26: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

1

10

100

1,000

Ind

ex

Va

lue

10,000 100,000 1,000,000 10,000,000 100,000,000 MSA Population, 1990

NY

CHILA

PHL

HOUNAU

DET

DALSDI

PHX

BAL

SATIND

SF

MEM

DC

MILSJS

CLE

JKL

COL

BOSNO

SEA

DEN

NSH

STLKCM

LAK

ELP

ATL

PGH

OKC

CIN

FWO

MIN

POOHON

TUL

BUF

TDO

MIA

AUS

OAK

ABQ

TUC

NWK

CTE

OMHLVL

BIRWCH

SAC TPANFKROC

AKR

CPX

JC

BAT

ANH

RCH

FROCOS

SHRLEXJMS

MOB

DTN

DESGRR

MTGKNX

ANC

LBK FWAINC

SPKMAD

RVRCGA

SYR

CNO

LSV

SLK

WORFLT

LRA

TAC

PRV

GNCSMAGRYRLGAMRSTC

HAL

SAVRKF

HRT

SMOEVN

LANORL

NHA

PEOERI

TPKBEU

MAC

YNG

CDR

SBNOXN

ANNMOD

EUG BAK

ALN

WAT

BDC

BOI

ALB

WAC

CSC

RNOROASILABLCTN

TRN

LARODS

SLM

GBY

SRSTAL

GNV

SIX

AURSNS

VALKAL

KEN

SAGBDR

WLO

WIL

CSC

BLG

ATC

SWV

WPB

CMO

FAR

APL

CHM

GSC

GFM

BNH

DAB

BIN

HBG

EAUCAS

JWI

YAXVISBXI

SRALACLKL

CHY

MEL

RCYKIL

YRKBIL

BUR

FTM

RLD

WAS

MCH

BRD NLN

MSX

MON

BRO

LHMLWL

NSH

SGMNIA

JOLHMO

LEONBC

BRZ

GALRAC

DNB ORG

STM

VMB

FLR

PAW

SCZ

ALGAXL

ALTANI

ANSANA

ASNATH

AUG

BGR

BCR

BEL

BNT

BSM

BRMBRN

BRY

BUR

CVL

CCOCHTCUM

DAN

DAV

DCA

DCI

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ELK

ELM

END

FYN

FAZ

FIM

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GLN

GFKGRYHAG

HIKHTL

HAWIOW

JMI

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JOP

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LFI

LCL

LAN

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LAW

LEW

LIM

LMT

LYN

MNO

MEM

MDOMRC

MDT MNLMUN MUS

NPL

NBM

OCLOLYOWN

PCF

PRK

PAS

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PME

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RDCRCM STC

STJ

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SBR

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SWB

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SDT

SXC

SCPSWOTHA

TEX

TUSTYL

UTR

VTX

WWVWFT

WMP

WNC

YCCYAZ

Gravity Measure (Linear)

Figure 12

Page 27: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

0.0

0.1

1.0

10.0

100.0

Ind

ex

Va

lue

10,000 100,000 1,000,000 10,000,000 MSA Population, 1990

NY

CHI

LAPHL

HOU

NAU

DET

DALSDIPHX

BAL

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SF

MEM

DCMIL

SJSCLE

JKL

COL

BOSNO

SEA

DEN

NSH

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ELP

ATL

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FWO

MINPOO

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TUL

BUF

TDO MIA

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TPA

NFK

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LEX

JMS

MOBDTN

DES GRR

MTG

KNX

ANC

LBKFWA

INC SPKMAD

RVR

CGA

SYR

CNO

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LRA

TAC

PRV

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SMAGRY

RLG

AMR STC

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SAVRKF

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ORL

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PEO

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TPK

BEUMAC

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SBN

OXN

ANN

MODEUG BAK

ALNWAT

BDC

BOI

ALB

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TRNLAR

ODS

SLM

GBY

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WLO

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SWV

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DAB

BIN HBG

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CAS JWI

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BXI SRA

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FTMRLD

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MSX

MONBRO

LHMLWL

NSH

SGMNIA

JOL

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NBC

BRZ

GALRAC

DNB ORG

STM

VMB

FLR PAW

SCZALGAXL

ALT

ANI

ANSANA

ASN

ATH AUGBGR BCR

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BNTBSM

BRM

BRN

BRY

BUR

CVL

CCOCHT

CUM

DAN

DAV

DCA

DCI

DOT

DBQ

DUL

ELK

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END

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FIM

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FCL

FPCFSAFWBGAD

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JMIJTN

JNC

JDN

JKB

JHN

JOP

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LFL

LFI

LCL

LAN

LCNLWK

LAWLEW LIM

LMT

LYN

MNO

MEMMDOMRC

MDT

MNL

MUN

MUS

NPL

NBM

OCLOLY

OWN

PCF

PRK

PAS PENPBAPTM

PME

PDR

PKE

PRO

PUE RDG

RDC

RCMSTC

STJ

SNG

SBR

SFE

SWB

SHNSBY

SDT

SXCSCP

SWO

THA

TEXTUSTYL

UTR

VTX WWV

WFTWMPWNC

YCC

YAZ

Gravity Measure (Exponential)

Figure 13

Page 28: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

(0.5)

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

Co

eff

icie

nt

10,000 100,000 1,000,000 10,000,000 MSA Population, 1990

NYCHI

LAPHL

HOU

NAUDET

DAL

SDI

PHX

BAL

SAT

IND

SF

MEM

DC

MILSJS

CLEJKL

COL

BOS

NO

SEA

DEN

NSH

STL

KCMLAK

ELP

ATL

PGH

OKC

CIN

FWO

MIN

POOHON

TULBUF

TDO MIA

AUS OAK

ABQ TUC

NWK

CTEOMH LVL

BIR

WCH SACTPANFK

ROC

AKR

CPX

JC

BAT

ANH

RCH

FRO

COS

SHR

LEX

JMS

MOB

DTNDES

GRRMTG

KNX

ANCLBK

FWA

INC

SPKMAD

RVR

CGA

SYR

CNO

LSV

SLK

WOR

FLTLRA

TAC

PRV

GNC

SMA

GRY

RLG

AMR STC

HAL

SAV

RKF

HRT

SMO

EVNLAN

ORL

NHA

PEO

ERI

TPK

BEU

MAC

YNG

CDRSBN

OXN

ANN

MOD

EUG

BAK

ALN

WAT

BDC

BOI

ALB

WAC

CSCRNOROASIL

ABL

CTN

TRNLAR

ODS

SLM

GBY

SRS

TAL

GNVSIXAURSNS VAL

KAL

KENSAGBDR

WLO

WIL

CSC

BLG

ATC

SWV

WPB

CMO

FAR

APL

CHMGSC

GFM

BNH

DABBIN

HBGEAU

CAS JWI

YAXVIS

BXI

SRALAC

LKL

CHY

MEL

RCY

KIL

YRK

BIL

BUR

FTM

RLD

WAS

MCHBRD

NLN

MSXMONBRO

LHM

LWL

NSH

SGM

NIA JOL

HMO

LEONBC

BRZ

GAL

RAC

DNB

ORG

STM

VMBFLR

PAW

SCZ

ALG

AXL

ALT

ANI

ANS

ANA

ASN

ATH

AUG

BGR

BCR

BEL

BNT

BSM

BRM BRN

BRYBUR

CVL

CCO

CHT

CUM

DAN

DAV

DCA

DCI

DOT

DBQ

DUL

ELK

ELMEND FYN

FAZ

FIM

FAL

FSC

FCL

FPCFSA

FWB

GAD

GLN

GFK

GRY

HAG

HIK

HTL HAW

IOW

JMIJTNJNC

JDN

JKB

JHN

JOP

KNK

KOK

LFL

LFI LCL

LAN

LCN

LWKLAW

LEW

LIM

LMT

LYN

MNO

MEM

MDOMRC

MDT

MNLMUN

MUSNPL

NBM

OCL

OLY

OWN

PCFPRK

PAS

PENPBAPTM

PME

PDR

PKE

PRO

PUE

RDG

RDC

RCM

STC

STJ

SNG

SBR

SFE

SWB

SHN

SBY

SDT

SXC

SCP

SWO

THATEXTUSTYL

UTR

VTX

WWV

WFT

WMP

WNC

YCC

YAZ

Moran's I Spatial CorrelationPrelim., Using Quadratic Approx. to C

Figure 14 (Preliminary)

Page 29: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

100

1,000

10,000

100,000

Pri

nc

ipa

l C

om

po

ne

nt

Sc

ore

10,000 100,000 1,000,000 10,000,000 MSA Population, 1990

NY

CHI LAPHL

HOU

NAUDET

DAL

SDI

PHX

BAL

SATIND

SF

MEM

DCMILSJSCLE

JKL

COL

BOS

NO

SEADEN

NSH

STL

KCM

ELP

ATL

PGHCIN

FWO

MINPOO

HON

TUL

BUF

TDO

MIA

AUS

OAK

ABQTUC

NWK

CTE

OMH LVL

BIR

WCH

SAC

TPANFKROC

AKRCPX

JC

BAT

ANH

RCH

FRO

COS

SHR

LEX

JMSMOB

DTNDES GRR

MTG

KNX

ANCLBK

FWA

INC

SPK

MAD

RVR

CGA

SYR

CNO

LSVSLK

WOR

FLT

LRA

TAC

PRV

GNC

SMA

GRY

RLG

AMR

STC

HAL

SAVRKF

HRT

SMO

EVN LAN ORL

NHA

PEO

ERI

TPKBEU

MAC

YNGCDRSBN

OXN

ANN

MOD

EUG

BAKALN

WAT

BDC

BOI

ALB

WACCSC

RNO

ROASIL

ABL CTN

TRN

ODSSLM

GBYSRS

TALGNV

SNSVAL

KAL

SAG

BDR

WLO

WIL

CSC

ATC

SWV

WPBFARAPL

CHM

GSC

BNH

DAB

HBG

EAU

JWI YAXVIS

BXI

SRA

LKL

MEL

KIL

YRKFTMRLD

MCH

NLN

MSX

MON

BRO LHM

LWL

NSH

HMO

BRZ

GALRAC

DNB

SCZ

ALG

AXL

ALT

ASNATH

AUGBNT

BRN

CVL

CCO

CHTCUM

DAV

DCA

DCI

DOT

DULELK FYN

FCL

FPCFSA

FWBGLN

GRY

HIK

HTLHAW

JMIJDN

JKB

JHN

JOPLFLLCL

LAN

LIM

LMTLYN

MEMMNL

NBM

OCL

PRKPEN

PME

PDR

PROPUE

RDG

STC

SBR

SWB

SHN

SWOTHA

TYL

UTR

WWVWFT

1st Principal Component of "Sprawl"Unadjusted Data

Figure 15

Page 30: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

(5,000)

0

5,000

10,000

15,000

20,000

25,000

Pri

nc

ipa

l C

om

po

ne

nt

Sc

ore

10,000 100,000 1,000,000 10,000,000 MSA Population, 1990

New York

ChicagoLos AngelesPhiladelphia

Houston

NassauDetroitDallas

San DiegoPhoenix

Baltimore

San AntonioIndianapolis

San Francisco

Memphis Washington

MilwaukeeSan JoseCleveland

Jacksonville FLColumbusOH

BostonNew Orleans

SeattleDenverNashville Saint LouisKansas City MO

El Paso

Atlanta

PittsburghCincinnatiFort Worth Minneapolis

Portland OR

Honolulu

Tulsa

BuffaloToledo

Miami

Austin

OaklandAlbuquerqueTucson

Newark

Charlotte

OmahaLouisville

BirminghamWichita Sacramento

TampaNorfolk

Rochester NYAkronCorpus Christi

Jersey City

Baton Rouge

Anaheim

RichmondFresnoColorado SpringsShreveport

LexingtonJackson MSMobile DaytonDes MoinesGrand RapidsMontgomery

Knoxville

AnchorageLubbockFort Wayne

Lincoln

SpokaneMadison

Riverside

ColumbusGA SyracuseChattanooga

Las VegasSalt Lake City

WorcesterFlintLittle RockTacoma

Providence

Greensboro

Springfield MAGary

Raleigh

Amarillo StocktonHuntsvilleSavannahRockford

HartfordSpringfield MOEvansville LansingOrlando

New HavenPeoria

ErieTopekaBeaumontMacon Youngstown

Cedar RapidsSouth Bend Oxnard

Ann Arbor

ModestoEugene BakersfieldAllentown

Waterbury Bridgeport

BoiseAlbany NY

WacoColumbia SC

RenoRoanokeSpringfield ILAbilene

Canton

TrentonOdessa

Salem ORGreen Bay

Santa RosaTallahasseeGainesvilleSalinas

VallejoKalamazooSaginaw

BoulderWaterlooWilmington DE

Charleston SCAtlantic CityCharleston WVA

West Palm Beach

FargoAppleton

Champaign

Greenville

BinghamtonDaytona BeachHarrisburg

Eau ClaireJanesvilleYakimaVisaliaBiloxi Sarasota

LakelandMelbourneKilleen YorkFort MyersRichland

Manchester

New London MiddlesexMonmouth

BrocktonLawrence MALowell

Nashua HamiltonBrazoria

GalvestonRacineDanbury

Santa CruzAlbany GAAlexandria LAAltoona

AshevilleAthensAugusta

Benton HarborBrownsvilleCharlottesville

ChicoClarksvilleCumberland DavenportDecatur AL

Decatur ILDothan DuluthElkhart

Fayetteville NCFort Collins

Fort PierceFort SmithFort Walton BeachGlens FallsGreeley

HickoryHouma Huntington

Jackson MIJamestown

Johnson CityJohnstownJoplin Lafayette LALake Charles LancasterLima

LongviewLynchburgMc Allen

Monroe

New Bedford

OcalaParkersburg

PensacolaPortland MEPortsmouth NH

ProvoPueblo Reading

St. Cloud

Santa Barbara

Scranton

SharonSteubenvilleTerre HauteTyler UticaWheelingWichita Falls

1st Principal Component of "Sprawl"Population Adjusted Data

Figure 16

Page 31: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

0.0

1.0

2.0

3.0

4.0

5.0

The

il In

dex

10,000 100,000 1,000,000 10,000,000 100,000,000 MSA Population

NY

CHI

LA

PHL

HOU

NAU

DET

DAL

SDI

PHX

BAL

SAT

IND

SF

MEM DC

MIL

SJS

CLEJKL

COL

BOS

NO

SEA

DEN

NSH

STLKCM

LAK

ELP

ATL

PGH

OKC

CIN

FWO MIN

POO

HON

TUL

BUFTDO

MIA

AUS

OAK

ABQTUC

NWK

CTE

OMH

LVL

BIR

WCH

SAC

TPA

NFK

ROC

AKR

CPX

JCBAT

ANHRCH

FRO

COS

SHRLEX

JMSMOB

DTN

DES

GRR

MTG

KNX

ANC

LBK

FWA

INCSPK

MAD

RVR

CGA

SYRCNO

LSV

SLK

WORFLT

LRA

TAC

PRV

GNCSMA

GRYRLG

AMR

STC

HAL

SAVRKF

HRT

SMOEVNLAN

ORL

NHA

PEOERI

TPK

BEU

MAC

YNG

CDRSBN

OXN

ANN

MOD

EUGBAK

ALN

WAT BDC

BOI

ALBWACCSC

RNO

ROA

SIL

ABL

CTN

TRN

LAR

ODS

SLM

GBYSRS

TALGNV

SIX

AUR

SNSVAL

KALKEN

SAG

BDR

WLOWIL

CSC

BLG

ATCSWV

WPB

CMO

FAR

APL

CHM

GSC

GFM

BNH

DAB

BINHBGEAU

CAS

JWI

YAX

VIS

BXI

SRA

LAC

LKL

CHY

MEL

RCY

KIL

YRK

BIL

BUR

FTM

RLD

WAS MCH

BRD

NLN

MSXMON

BRO LHMLWL

NSHSGM

NIAJOL

HMOLEO

NBC

BRZGALRAC

DNBORGSTM

VMBBEV

FLR

PAW

SCZALG

AXLALTANI

ANSANA ASN

ATH

AUG

BGRBCR

BEL

BNT

BSM

BRM

BRN

BRY

BURCVL

CCO

CHTCUMDAN

DAV

DCA

DCI

DOT

DBQ

DUL

ELK

ELM

END

FYNFAZ

FIMFALFSC

FCL

FPC

FSA

FWB

GADGLN

GFK

GRY

HAGHIK

HTLHAW

IOW

JMI

JTN JNCJDN JKBJHN

JOPKNKKOK

LFLLFI

LCL

LAN

LCNLWK

LAW

LEWLIMLMT

LYN

MNO

MEM

MDO

MRC

MDT

MNLMUNMUS

NPL

NBMOCL

OLYOWN

PCF

PRK

PAS

PENPBA

PTM PMEPDR

PKE

PRO

PUE

RDG

RDC

RCM

STC

STJSNG

SBR

SFE

SWB

SHNSBY

SDT

SXC

SCP

SWO

THATEX

TUS

TYL

UTRVTX

WWV

WFT

WMP

WNC

YCC

YAZ

Theil Indices of Census TractDensities and Population

Page 32: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

1

10

100

1,000

10,000

Fir

st D

ec

ile

of

Tra

ct

De

nsi

tie

s

10000 20000 30000 40000 50000 60000 Median HH Income

NY

CHILA

PHLHOU

NAU

DETDAL

SDIPHX

BALSAT

IND

SF

MEM

DCMIL

SJS

CLE

JKLCOL

BOS

NOSEA

DEN

NSH

STLKCM

LAKELP

ATLPGH

OKC

CINFWO

MINPOO

HON

TUL

BUF

TDO

MIA

AUS

OAK

ABQ

TUC

NWK

CTE

OMHLVL

BIR WCH

SAC

TPANFK

ROC

AKRCPX

JC

BAT

ANH

RCHFRO COSSHR

LEXJMSMOB

DTN

DES

GRR

MTG

KNXANC

LBKFWA

INC

SPKMAD

RVR

CGA SYRCNO

LSVSLK

WORFLT

LRA

TACPRV

GNC

SMAGRY

RLGAMR

STC

HALSAV RKF

HRT

SMO EVNLAN

ORLNHA

PEO

ERI

TPKBEU MACYNG

CDR

SBN OXN

ANNMOD

EUG BAK

ALN

WAT

BDC

BOIALB

WAC

CSCRNO

ROASILABL

CTN

TRNLAR

ODS

SLMGBY

SRS

TALGNV

SIX

AUR

SNS

VALKALKEN

SAG

BDR

WLO

WIL

CSC

BLG

ATC

SWV

WPB

CMO

FAR

APL

CHM

GSC

GFM

BNH

DAB

BIN HBG

EAU

CAS

JWIYAXVIS

BXI

SRA

LACLKL

CHY MEL

RCY

KILYRK

BIL

BURFTM

RLDWAS

MCH

BRD

NLN

MSXMONBRO

LHMLWL

NSHSGM

NIA JOL

HMO LEO

NBC

BRZ

GALRAC

DNB

ORG

STM

VMBBEV

FLRPAW

SCZ

ALG

AXL

ALT ANIANSANAASN

ATHAUGBGR

BCR

BELBNT

BSM

BRM

BRN

BRY BUR

CVLCCOCHT

CUM

DAN

DAVDCADCI

DOTDBQ

DUL

ELKELM

END

FYN

FAZ

FIM

FALFSCFCL

FPC

FSAFWB

GAD

GLN

GFK

GRY

HAGHIK

HTL

HAWIOW

JMIJTNJNCJDNJKB

JHN

JOPKNK KOK

LFL

LFILCL

LAN

LCN

LWK

LAW

LEW

LIMLMTLYN

MNO

MEM

MDOMRC

MDT

MNLMUNMUS NPL

NBM

OCL

OLYOWNPCFPRKPAS

PEN

PBA

PTMPMEPDRPKE

PRO

PUE

RDG

RDC

RCMSTCSTJ

SNG

SBR

SFE

SWBSHN

SBYSDT

SXC

SCP

SWOTHA

TEX

TUSTYLUTR

VTX

WWV

WFT

WMP

WNC

YCCYAZ

First Decile of Census Tract DensitiesAnd Income

Page 33: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

1

10

100

1,000

10,000

Fir

st D

ec

ile

of

Tra

ct

De

nsi

tie

s

1940 1950 1960 1970 1980 Mean Year Built, 1990 Census

NY

CHILA

PHLHOUDET DAL

SDI PHX

BAL

SAT

IND

SF

MEM

DC

MIL

SJS

CLE

JKLCOL

BOS

NOSEA

DEN

NSH

STLKCM

ELP

ATLPGH

OKC

CINMINPOO

HON

TUL

BUF

TDO

MIA

AUS

ABQ

TUC

NWK

CTE

OMH

LVL

BIRW CH

SAC

TPANFK

ROC

CPX

BAT

RCHFRO COSSHR

LEX JMSMOB

DTN

DES

GRR

MTG

KNXANC

LBKFWA

INC

SPKMADCGASYR

CNO

LSVSLK

W OR FLT

LRA

PRV

GNC

SMA

RLGAMR

STC

HALSAVRKF

HRT

SMOEVN

LAN

ORLNHA

PEO

ERI

TPK

BEUMAC

YNG

CDR

SBN

MOD

EUG BAK

ALN

W AT

BOI

ALB

W AC

CSCRNO

ROA

SIL ABL

CTN

LAR

ODS

SLM

GBY

TALGNV

SIXSNS

KAL

SAG

W LOCSC

BLG

ATC

SWV

W PB

CMO

FAR

APL

CHM

GSC

GFM

BNH

DAB

BINHBG

EAU

CAS

JW I

YAX VISBXI

SRA

LACLKL

CHYMEL

RCY

KIL

YRK

BIL

BUR

FTM

RLDW AS

MCH

BRD

NLN

SCZ

ALG

AXL

ALT ANIANS

ANA

ASN

ATHAUGBGR

BCR

BELBNT

BSM

BRM

BRN

BRYBUR

CVLCCOCHT

CUM

DAN

DAV

DCADCIDOT

DBQ

DUL

ELKELM

END

FYN

FAZ

FIM

FAL FSCFCL

FPC

FSAFWB

GAD

GLN

GFK

GRY

HAG HIK

HTL

HAWIOW

JMIJTN JNC

JDN JKBJHN

JOPKNKKOK

LFL

LFI LCL

LAN

LCN

LW K

LAW

LEW

LIMLMTLYN

MNO

MEM

MDOMRC

MDT

MNLMUNMUS NPL

NBM

OCL

OLYOW N

PCFPRK PAS

PEN

PBA

PTM PME PDR

PKE

PRO

PUE

RDG

RDC

RCMSTC

STJ

SNG

SBR

SFE

SWB

SHNSBY

SDT

SXC

SCP

SWO

THA

TEX

TUS

TYLUTR

VTX

W WV

W FT

W MP

W NC

YCCYAZ

First Decile of Census Tract DensitiesAnd Age of Housing Stock

Page 34: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

1

10

100

1,000

10,000

Pe

rso

ns

pe

r S

qu

are

Kil

om

ete

r

10,000 100,000 1,000,000 10,000,000 MSA Population, 1990

New York

Chicago

Los Angeles

Philadelphia

Houston

Nassau

Detroit

DallasSan Diego

Phoenix

Baltimore

San AntonioIndianapolis

San Francisco

Memphis

WashingtonMilwaukeeSan JoseCleveland

Jacksonville FLColumbusOH

Boston

New OrleansSeattleDenver

Nashville

Saint Louis

Kansas City MO

El Paso AtlantaPittsburgh

Oklahoma City

CincinnatiFort Worth Minneapolis

Portland OR

Honolulu

Tulsa

Buffalo

Toledo

Miami

Austin

Oakland

Albuquerque

Tucson

Newark

CharlotteOmahaLouisville

Birmingham

Wichita

Sacramento

TampaNorfolk

Rochester NY

Akron

Corpus Christi

Jersey City

Baton Rouge

Anaheim

Richmond

Fresno

Colorado SpringsShreveportLexington

Jackson MSMobile

Dayton

Des Moines

Grand Rapids

Montgomery

Knoxville

Anchorage

Lubbock Fort WayneLincolnSpokane

Madison

Riverside

ColumbusGASyracuse

Chattanooga

Las Vegas

Salt Lake City

Worcester

Flint

Little Rock

Tacoma

Providence

Greensboro

Fort Lauderdale

Springfield MA

Gary

Raleigh

Amarillo

StocktonHuntsvilleSavannah

Rockford

Paterson

Hartford

Springfield MOEvansvilleLansing

Orlando

New Haven

Peoria

ErieTopeka

Beaumont

Macon

Youngstown

Cedar Rapids

South Bend

OxnardAnn Arbor

Modesto

Eugene Bakersfield

Allentown

WaterburyBridgeport

BoiseAlbany NY

Waco

Columbia SC

Reno

Roanoke

Springfield ILAbilene

Canton

Trenton

Laredo

Odessa Salem OR

Green Bay

Santa RosaTallahassee

Gainesville

Sioux Falls

Salinas

Vallejo

KalamazooKenosha

SaginawBoulder

Waterloo

Wilmington DE

Charleston SC

Billings

Atlantic City

Charleston WVA

West Palm Beach

Columbia MO

Fargo

AppletonChampaign

Greenville

Great Falls

Binghamton

Daytona BeachBloomington IN Harrisburg

Eau Claire

Casper

Janesville

Yakima

Visalia

Biloxi

Sarasota

La Crosse Lakeland

Cheyenne

Melbourne

Rapid City

Killeen

York

Bloomington IL

Burlington VT

Fort Myers

Richland

Wausau

Manchester

New London

MiddlesexMonmouthBrocktonLawrence MA

Lowell

NashuaHamilton

Brazoria

GalvestonRacineDanbury

Vineland

Santa Cruz

Albany GA

Alexandria LA

AltoonaAnniston

Asheville

Athens

Augusta

Bangor

Bellingham

Benton Harbor

Bismarck

BrownsvilleBryanBurlington NC

CharlottesvilleChicoClarksvilleCumberland

Dansville

Davenport

Decatur AL

Decatur IL

DothanDubuque

Duluth

Elkhart

Elmira

Enid

Fayetteville NC

Fayetteville AR

Fitchburg

Florence ALFlorence SC

Fort Collins

Fort Pierce

Fort Smith

Fort Walton BeachGadsden

Glens Falls

Grand Fork

Greeley

Hagerstown

Hickory

Houma

HuntingtonIowa CityJackson MI

Jackson TN

Jacksonville NC

Jamestown Johnson CityJohnstownJoplin

KankakeeKokomo

Lafayette LA

Lake Charles

Lancaster

Las Cruces

Lawrence KS

Lawton

Lewiston

Lima

LongviewLynchburg

Mansfield

Mc Allen

Medford

Merced

MonroeMuncie

Naples

New Bedford

Ocala

OwensboroPanama CityParkersburgPensacola

Pine Bluff

Pittsfield Portland MEPortsmouth NH

Provo

Pueblo

Reading

Redding

Rochester MN

St. CloudSt. Joseph

San Angelo

Santa Barbara

Santa Fe

Scranton

SharonSheboygan

ShermanSioux CityState College

Steubenville

Terre Haute

Texarkana

Tuscaloosa

TylerUtica

Victoria

Wheeling

Wichita FallsWilliamsport

Wilmington NCYuba City

Yuma

Metropolitan Area Average Density

Page 35: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

1

10

100

1,000

10,000

Pe

rso

ns

Pe

r S

q.

KM

10,000 100,000 1,000,000 10,000,000 MSA Population, 1990 (Log Scale)

NY

CHILA

PHLHOU

NAU

DETDAL

SDIPHX

BAL

SAT

IND

SF

MEM

DC

MIL

SJS

CLE

JKL COL

BOS

NOSEA

DEN

NSH

STL

KCM

LAKELP

ATLPGH

OKC

CINFWO

MINPOO

HON

TUL

BUF

TDO

MIA

AUS

OAK

ABQ

TUC

NWK

CTE

OMH

LVL

BIRWCH

SAC

TPA

NFK

ROC

AKRCPX

JC

BAT

ANH

RCHFROCOSSHRLEXJMSMOB

DTN

DES

GRR

MTG

KNXANC

LBKFWA

INC

SPKMAD

RVR

CGA SYRCNO

LSVSLK

WORFLT

LRA

TAC

PRV

GNC

SMAGRY

RLG

AMR

STC

HALSAVRKF

HRT

SMOEVN

LAN

ORLNHA

PEO

ERI

TPK

BEUMAC

YNG

CDR

SBN OXN

ANNMOD

EUG BAK

ALN

WAT

BDC

BOI

ALB

WAC

CSCRNO

ROA

SILABL

CTN

TRN

LAR

ODS

SLM

GBYSRS

TALGNV

SIX

AUR

SNS

VALKALKEN

SAG

BDR

WLO

WIL

CSC

BLG

ATC

SWV

WPB

CMO

FAR

APL

CHM

GSC

GFM

BNH

DAB

BINHBG

EAU

CAS

JWI

YAX VISBXI

SRA

LACLKL

CHYMEL

RCY

KIL

YRK

BIL

BUR

FTM

RLDWAS

MCH

BRD

NLN

MSXMON

BRO

LHMLWL

NSHSGM

NIA JOL

HMOLEO

NBC

BRZ

GAL

RAC

DNB

ORG

STM

VMBBEV

FLR

PAW

SCZ

ALG

AXL

ALTANIANS

ANA

ASN

ATHAUGBGR

BCR

BEL BNT

BSM

BRM

BRN

BRYBUR

CVL CCOCHT

CUM

DAN

DAV

DCADCIDOT

DBQ

DUL

ELKELM

END

FYN

FAZ

FIM

FALFSCFCL

FPC

FSA

FWBGAD

GLN

GFK

GRY

HAG HIK

HTL

HAW

IOW

JMIJTN JNC

JDN JKBJHN

JOP

KNKKOK

LFL

LFI LCL

LAN

LCN

LWK

LAW

LEW

LIMLMTLYN

MNO

MEM

MDOMRC

MDT

MNLMUN MUSNPL

NBM

OCL

OLY

OWNPCFPRKPAS

PEN

PBA

PTM PMEPDR

PKE

PRO

PUE

RDG

RDC

RCMSTC

STJ

SNG

SBR

SFE

SWB

SHNSBY

SDT

SXC

SCP

SWO

THA

TEX

TUS

TYL

UTR

VTX

WWV

WFT

WMP

WNC

YCCYAZ

Density of Tract Containing Median HHMSA Tracts Sorted by Density

Page 36: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

0.00

0.20

0.40

0.60

0.80

1.00

Un

da

dju

ste

d R

2,

4th

Po

we

r M

od

el

0.00 0.20 0.40 0.60 0.80 1.00 Undadjusted R2, Linear Model

NY

CHI

LA

PHL

HOU

NAU

DET

DAL

SDIPHX

BAL

SATIND

SF

MEM

DC

MIL

SJS

CLEJKL

COL

BOS

NO

SEA

DENNSH

STL

KCM

LAK

ELP

ATL

PGH

OKC

CIN

FWO

MINPOO

HON

TUL

BUFTDO

MIA

AUS

OAK

ABQ

TUC

NWK

CTE

OMH

LVLBIRWCH

SAC

TPA

NFK

ROC

AKR

CPX

JC

BAT

ANH

RCH

FRO

COSSHR

LEX

JMSMOB

DTN

DES

GRR

MTG

KNX

ANC

LBK

FWA

INC

SPK

MAD

RVR

CGA

SYR

CNO

LSV

SLK

WORFLT

LRA

TAC

PRV

GNC

SMA

GRY

RLG

AMR

STC

HALSAV

RKF

HRT

SMO

EVN

LAN

ORL

NHA

PEOERI

TPK

BEU

MACYNG

CDRSBN

OXN

ANNMOD

EUG

BAK

ALN

WATBDC BOI

ALB

WAC

CSC

RNO

ROA

SIL

ABL

CTN

TRN

LAR

ODSSLM

GBY

SRS

TAL

GNVSIX

AUR

SNS

VAL

KAL

KEN

SAG

BDR

WLO

WIL

CSC

BLG

ATC

SWV

WPB

CMO

FAR

APL

CHM

GSC

GFM

BNH

DAB

BIN

HBG

EAU

CAS

JWI

YAX

VIS

BXISRA

LAC

LKL

CHY

MEL

RCY

KIL

YRK

BILBUR

FTM

RLD

WAS

MCH

BRD

NLN

MSXMON

BRO

LHM

LWL

NSH

SGM

NIA

JOL

HMOLEO

NBC

BRZ

GAL

RAC

DNB

ORG

STM

VMBBEV

FLR

PAW

SCZ

ALGAXL

ALT

ANI

ANS ANA

ASN

ATH

AUG

BGR

BCR

BEL

BNT

BSM

BRM

BRN

BRY

BUR

CVL

CCOCHT

CUM

DAN

DAV

DCA

DCI

DOT

DBQ

DUL

ELK

ELM

END

FYN

FAZ

FIM

FAL

FSC

FCL

FPC

FSA

FWB

GADGLN

GFK

GRYHAG

HIK

HTL

HAW

IOW

JMI

JTN

JNC

JDN

JKB

JHN

JOP

KNKKOKLFL

LFI

LCL

LAN

LCNLWKLAW

LEW

LIM

LMT

LYN

MNO

MEMMDOMRC

MDT

MNL

MUN

MUS

NPLNBM

OCLOLY

OWN

PCF

PRK

PAS

PENPBA

PTM

PME

PDR

PKEPRO

PUE

RDG

RDC

RCM

STC

STJ

SNG

SBR

SFE

SWB

SHN

SBY

SDT

SXC

SCP

SWO

THA

TEXTUS

TYL

UTR

VTX

WWVWFT

WMP

WNC YCC

YAZ

Fit of Linear, Fourth Power SUE Models

Figure 6

Page 37: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

100

1,000

10,000

100,000

De

nsi

ty o

f W

eig

hte

d M

ed

ian

Tra

ct

0 10 20 30 40 50 60 70 Galster et al. Total Sprawl Index

NY

CHI

LA

PHL

HOU

DETDAL

SF

DCBOSDEN

ATL

MIA

Compare Galster et al. Results to DensOf Tract Containing Median Person

Figure 7

Page 38: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Nine Causes of Sprawl (Richard K. Green)

Rent gradient Demographics Growing affluence Transportation changes Government service differentials Racial discrimination and segregation Plattage and plottage Tax policy Land use regulation

Page 39: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

More causes of sprawl

Economic structure The degree of monocentricity Opportunity cost of land in rural uses

Page 40: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Some Opinions

American Farmland Trust, Farming on the Edge Bank of America et al., Beyond Sprawl Al Gore, several recent speeches Peter Gordon and Harry Richardson, “Are Compact Cities

a Desirable Planning Goal?” Reid Ewing, “Is Los Angeles Style Sprawl Desirable?” John Norquist, The Wealth of Cities Richard Moe, Growing Smarter Many more, type “sprawl” into your browser and stand

back.

Page 41: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Some Literature

Real Estate Research Corporation, The Costs of Sprawl (1974) Critiques of RERC by Altshuler (1977) and Windsor (1979) Downs, New Visions for a Metropolitan America Helen Ladd, “Population Growth, Density, and the Costs of

Providing Public Services” (1992) David Mills (1981) Richard Peiser (1989) Brueckner and Fansler (1983) Burchell and Listokin, others at Rutgers, on “fiscal impact

analysis” (various), The Costs of Sprawl Revisited (1998)

Page 42: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Highly Tentative Conclusions

Transit infrastructure has little effect on density per se.

More mass transit is associated with longer commutes.

Higher densities lower commutes, ceteris paribus. Will these results hold up to further work?

Page 43: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Some Next Steps

Alternative sprawl measures (e.g. AHS new housing density)

Better measures of transit infrastructure Model other outcomes that reflect potential costs and

benefits of sprawl– environmental outcomes– public service costs– racial and economic segregation

Endogeneity, endogeneity, endogeneity

Page 44: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Percent of Metro Population and Employment in Central Cities

0% 20% 40% 60% 80% 100%

Population

Manufacturing

Wholesale Trade

Retail Trade

Select Services

1980

1948

Source: O’Sullivan, Kain, Census

Page 45: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Why Do We Observe Decentralization?

Standard Urban Economics (SUE) model: rising incomes, falling transport costs

“Blight Flight” or Amenities/disamenities models Public policies Change in technology, shift to service economy,

incubator processes?

Page 46: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

The U.S. is Well-Endowed with Land

The U.S. has 7% of the world’s land area. But 13% of the world’s cropland is in the U.S. The U.S. has roughly 10 acres of land for every

inhabitant.

Page 47: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Population Density, Selected Countries

0.005

0.05

0.1

1

1.3

1.7

2.9

21.9

0 5 10 15 20 25

Mongolia

USSR

USA

Germany

Japan

Korea

Bangladesh

Hong Kong

Population Per Acre

Page 48: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

U.S. Population if settled at other countries’ densities

0.01

0.12

0.265

2.3

3.1

4

6.7

51

0 20 40 60

Mongolia

USSR

USA

Germany

Japan

Korea

Bangladesh

Hong KongU

.S. a

t Sa

me

Den

sity

As:

Projected Population, Billions

Page 49: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

How U.S. Urban Land is Used, 1980

Transitional5.0%

Mixed Urban9.0%

Utilities11.0% Commercial

16.0%

Residential59.0%

Source: Vesterby and Heimlich, 1991

Page 50: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

U.S. Land Use

Urban land is 3 percent of U.S. land by area, but the majority of land by value.

With about 4 hectares of land per person (gross), the U.S. is far from typical in density.

However, even very dense countries, like Korea, have small percentages of land in urban uses (see below).

Page 51: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

U.S. Cropland and Urban Land Area

0

100

200

300

400

500

1958 1968 1978 1988

Mil

lion

Acr

es

CroplandUrban

USDA, CensusFigure A-2

Page 52: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

U.S. Cropland and Urban Land Area

While the share of U.S. land in urban uses has been growing (from a low base), cropland has been roughly constant over the last 40 years.

When relative prices warrant it, land can readily be converted from other uses to agriculture.

Page 53: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Some Big-Picture Land Use Questions (Indicative Only, Not Exhaustive)

Can we reconcile market approaches with social and ethical concerns?– Why have many economists focused so much on costs of

regulation, not on benefits?– Why have many noneconomists neglected costs?

How can we get a better handle on the real social cost-benefit of different land uses?– Just because something’s hard to measure doesn’t mean it

isn’t important Can we focus more rigorously on distributional issues (as well

as efficiency)?

Page 54: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

More Land Use Questions

What’s the right system of incentives (taxes, subsidies, regulations, etc.)?– Lower order: for market participants?– Higher order: for planners and policymakers?

Urban decentralization (“sprawl”) is high on the public agenda. What can we say about costs and benefits, and appropriate responses?

Many other important land use issues, e.g.– Brownfields– Preservation– Central city/suburban/rural issues

Page 55: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Some General Things to Look for in a Cluster Hire in Land Use

Rigor Open-mindedness Some appreciation of the economics of land use (formal or

informal) Good institutional knowledge as well as technical training Interest in urban and rural land use issues Understanding related markets (e.g. transportation) would

be a plus

Page 56: Alternative Measures of Urban Form in U.S. Metropolitan Areas Stephen Malpezzi Wen-Kai Guo University of Wisconsin-Madison

Some objectives for a potential hire in land economics

Put the “sprawl” debate on a more rigorous footing: better definition and measurement, cost and benefits, determinants, policy recommendations

Enhance understanding of interactions among land use, general economic development, transport, real estate

What are the costs and benefits of different development patterns, of different public interventions?

How do land uses affect income distribution, racial and ethnic cleavages Needs a strong economics background with demonstrated ability to work

with noneconomists; knowledge of planning, law, institutions a plus International as well as U.S. perspectives a plus