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A THEORY
O
LOCATION
OR ITIES
Edward Ullman
Periodically in the pas t century the location and distr ibution of cities and
se t t lements have been s tudied . Impor tant cont r ibut ions have been made
by individuals in many disciplines. Part ly because of the diversityand un-
co-ordinated na ture of the attack and par t ly because of the complexities
and variables involved, a sys temat ic theory has been slow to evolve, in
cont ras t
to the
advances
in the
field
of
industrial location.^
The first theoretical s tatement
of
modern impor t ance
was von
Thiinen's
Der isolierte Stoat,
init ial ly published
in 1826,
where in
he
pos tu la ted
an
entirely uniform land surface and showed tha t und er idea l condi t ions a
ci ty would develop in the center of this land area and concentric r ingsof
land use wo uld develop aro und the central ci ty. In 1841Kohl investigated
the re la t ion be tween c i t iesand the na tu ra l and cul tura l envi ronment , p ay
ing par t icular a t tent ion to the effect of t ranspor t routes on the location of
urban centers . - In 1894 Cooley admirably dem onst ra ted the channelizing
influence that t ransportat ion routes, part icularly rai l , would have on the
location and deve lopmen t of trade centers. He also called at tention to
break
in
t ranspor ta t ion
as a
city-builder just
as
Ratze l
had
earlier.
In 1927
flaig sought
to
de t e rmine
why
the re
was
such
a
large concen t ra t ion
of
p o p
ulat ion and m anufac tu r ing in the largest ci t ies.* Since concentrat ion occurs
where assembly of mater ia l is cheapes t , all business functions, except ex
t ract ion and transp ortat io n, ideally should be located in cit ies where trans
por ta t ion is least cost ly. Exceptions are provided by the processing of
per ishable goods ,as in sugar centrals ,and of large weight - los ing commod
ities,as in smelters. Haig's theoretical t reatment is of a dilferent ty pe from
Reprinted from
The
American Journal
of
Sociology,
Vol. 46 (May
1941),
pp.
853-64,
by permission
of the
author
and the
publisher. (C opyright,
1941, by The
American
Journal
of
Sociology.)
1.
Cf.
Tord Palander, Beitrdge
zur
Standorfstheorie (Uppsala, Sweden, 1935), or
E. M. Hoover, Jr., Location Theory
and the
Shoe
and
Leather Industries (Cambridge,
Mass., 1937 .
2. J. G.Kolil,
Der
Verkchr tind
die
Ansiedlungen
der
M enscJien
in
irerAbliangigkeit
vo n
der
Gestaldung
der
Erdoherflache
(2d ed.;
Leipzig, 1850).
3.
C. H.
Cooley,
The
Theory
of
Tran.sportation, Publications
of the
American Eco
nomic Association,
IX (May,
1894),
1-148.
4. R. M.
Haig, Toward
an
Understanding
of the
Metropolis: Some Speculations
Regarding the Economic Basis of Urban Concentration, Quarterly Journal
of
Eco
nomics, XL (1926), 179-208.
227
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228 THE SPATIAL AN D TEMPORAL PATTERNS OF CITIES
those just ci ted but should b e inclu ded as an excellent exam ple of a con
cent ra t ion s tudy.
In 1927 Bo be ck show ed tha t Ge rma n geograp hers since 1899, fol lowing
Schli iter and others, ha d co ncerne d themselves largely with the in ternal
geo grap hy of ci ties, with th e patter n of land use and forms within t ire urba n
limits , in contrast to the problem of location and support of ci t ies. Such
preoccup at ion w i th in ternal urban s t ruc ture has a lso charac ter ized the recent
work of geographers in America and other countries. Bobeck insisted with
reason that such studies, valuable though they were, consti tuted only half
the f ie ld of urban geography and tha t there remained unanswered the
fund am ental g eograp hical ques tion W hat are the causes for the existence,
prese nt size, and characte r of a ci ty? Since the publicat io n of this art icle,
a number of urban studies in Germany and some in other countries have
dealt with such questions as the relat ions between ci ty and country.^
A theoretical framework for study of the distr ibution of set t lements is
provided by the work of Walter Christal ler .^ The essence of the theory
is that a certain amount of productive land supports an urban center . The
center exists because essential services must be performed for the surround
ing land. Thus the primary factor explaining Chicago is the productivi ty of
the Middle West; location at the southern end of Lake Michigan is a sec
ondary factor. If there were no Lake Michigan, the urban populat ion of the
M iddle W est w ould in al l prob abil i ty be just as large as it is now. j[deally,
the city should be in the center of a productive area.* The similarity of this
concept to von Thiinen's original proposit ion is evident .
Apparent ly many scholars have approached the scheme in the i r th ink
ing. Bobeck claims he presente d the rudime nts of such an explanation in
1927. The work of a number of American rural sociologists shows apprecia
t ion for some of Christal lcr 's prel iminary assumptions, even though done
before or without knowledge of Christal lcr 's work and performed with a
different end in view. Galpin 's epochal study of trade areas in Walworth
5 . Mans Bobeck , Gru ndf ra gcn de r S tad t Ge ogra ph ic , Geographischer Anzeiger,
X X V I I I ( 1 9 2 7 ) , 2 1 3 - 2 4 .
6 . A s ec t ion o f the In te rn a t iona l G oograp l i i c a l Congres s a t Am s te rdam in 1938 d ea l t
wi th Fun c t ion a l Re la t ions be tw een C i ty and Co un t ry . T h e pape rs a re pub l i s hed in
Vol . II of the Comptes rendus (L e id en : E . J . B r i l l, 193 8) . A recen t Amer ican s tudy i s
C . D . Ha r r i s , Salt Lake City: A Regional Capital (P h . D . d i s s . . Un ive rs i ty of Ch icago ,
1 9 4 0 ) .
Pe r t inen t a ls o i s R . E . D ick ins on , T he M e t ropo l i t an Reg ions o f the Un i ted
Sta te s , Geographical Review, X X I V ( 1 9 3 4 ) ,
2 7 8 -9 1 .
7 . Die zentralen Orte in Siiddetit. ichland (J en a , 1935 ) ; a l so a pape r (no t i t l e ) in
Comptes rendus du Congres internationale de geographie Amsterdam (1 93 8) , 11, 123-37 .
8 . T l i is does no t dc ny j th e impo r tanc e o f ga te wa y cen te rs s uch a s Om al ia and
Kansas City , c i t ies located between contras t ing areas in order to secure exchange benefi ts .
The logica l growth of c i t ies a t such locat ions does not des troy the theory to be presented
( c / .
R. D. McKenzie 's excel lent discuss ion in The Metropolitan Commun itij [Ne w York ,
1 9 3 3 ] , pp. 4 ff . ) .
9 . Cf . Pe t r i e ' s s t a t em en t abou t anc ien t E g yp t and Mes op o tam ia : I t ha s been
no t i ced be fo re how remarkab ly s imi la r the d i s t ances a re be tween the ea r ly non ie cap i t a l s
o f the De l t a ( twen ty -one mi le s on an ave rage ) and the ea r ly c i t i e s o f Mes opo tamia
(ave rag ing twen ty mi le s apa r t ) . Some phys ica l c aus e s eems to l imi t the p r imi t ive ru le
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A THEORY OF LOC ATIO N FOR CITIES 229
Co unty , W isconsin, pub lished in 1915, wa s the first contribution . Since then
important studies bearing on the problem have been made by others.^**
These studies are confined primari ly to smaller t rade centers but give a
wealth of information on distr ibution of set t lements which independently
substantiates many of Christal ler 's basic premises.
As a working hypothesis one assumes that normally the larger the ci ty,
the larger i ts t r ibutary area. Thus there should be ci t ies of varying size
ranging from a small hamlet performing a few simple functions, such as
providing a l imited shopping and market center for a small contiguous area,
up to a large ci ty with a large tr ibutary area composed of the service areas
of many smaller towns and providing more complex services, such as whole-
sahng, large-scale banking, special ized retai l ing, and the l ike. Services per
formed pure ly for a surrou ndin g area are term ed centra l functions by
Chr is ta lle r , and the se t t lements per forming them cent ra l p laces . An indus
try using raw materials imported from outside the local region and shipping
its products out of the local area would not consti tute a central service
Ideally, each central place would have a circular tr ibutary area, as in
von Thiinen's proposit ion, and the ci ty would be in the center . However,
if three or moi-e tangent circles are inscribed in an area, unserved spaces
will exist ; the best theoretical shapes are hexagons, the closest geometrical
fi^gures to circles which will completely fill an area (Fig. 1).^^
Christal ler has recognized typical-size set t lements, computed their aver
age populat ion, their distance apart , and the size and populat ion of their
tr ibutary areas in accordance with his hexagonal theory as Table 1 shows.
He also states that the number of central places fol lows a norm from largest
in this way. Is i t not the l imit of centra l s torage of gra in , which is the essent ia l form of
ea r ly cap i t a l ? Supp l i e s cou ld be cen t ra l i s ed up to t en mi le s away ; beyond tha t the cos t
o f t rans po r t mad e it be t t e r wor th whi le to have a nea re r ce n t re (W . M. F l inde rs P c t r i e ,
SocUil Life in Ancient Egypt [L on don , 1923 ; re i s s ued , 193 2] , pp . 3 - 4 ) .
10.
C . J . Ga lp in ,
Social Anatomy of an Anricultural Comm unity
(Uni \ -e r s i ty o f Wis
cons in Agr icu l tu ra l E xpe r imen t S ta t ion Res ea rch Bu l l . 34 [1915] ) , and the re s tudy by
J . H. Kolb and R. A. Poison, Trends in Toion-Country Relations (Univ e rs i ty o f Wis co n
s in Agr icu l tu ra l E xpe r i men t S ta t ion Res ea rch Bu l l. 117 [19 33 ] ) ; B . L . McKin , Village
Service Agencies of New York State, 1925 (Cor ne l l Un ive r s i ty Agr icu l tu ra l E xp e r ime n t
S ta t ion Bu l l . 493 [1929] ) , and Rural Population of New Y ork, 1 8 5 5 - 1 9 2 5 ( C o r n e l l U n i
ve rs i ty Agr icu l tu ra l E xp e r im en t S ta t ion Memoi r 11(3 [1 92 8] ) ; Dw igh t Sande rs on , The
Rural Community (N ew York, 19 32 ) , e s p . pp . 488-5 14 , wh ich con ta ins re fe rences to
many s tud ie s by Sande rs on and h i s a s s oc ia te s ; Ca r le C . Z immerman ,
Farm Trade Cen
ters in Minnesota, 1905-29 (Un ive rs i ty of Minnes o ta Agr icu l tu ra l E xpe r im en t S ta t ion
B u l l . 2 6 9 [ 1 9 3 0 ] ) ; T . L y n n S m i t h , Farm Trade Centers in Louisiana 1905 to 1931
(L ou i s i ana S ta te Unive rs i ty Bu l l . 234 [1933] ) ; Pau l H . L and i s , South Dakota Town-
Country Trade Relations, 1901-1931 (So u th Dak o ta Agr icu l tu ra l E xp e r im en t S ta t ion
B u l l . 2 7 4 [ 1 9 3 2 ] ) . a n d The Growth and Decline of South Dakota T rade Centers, 1901-
1933 ( B u l l . 2 7 9 [ 1 9 3 8 ] ) , a n d Washington Farm Trade Centers, 1900-1935 ( S t a t e C o l -
l ego o f W as h in g ton A gr icu l tu ra l E xpe r im en t S ta t ion Bu l l. 360 [19 38 ] ) . O the r s tud ie s
a re l i s t ed in s ubs equen t foo tno te s .
1 1 .
See Aug us t L os ch , T h e Na tu re of the E cono mic Reg ions ,
Southern Economic
Journal, V ( 1 9 3 8 ) , 7 3 . G a l p i n (op. cit.) tho ugh t in term s of s ix t r ib utar y-ar ea c ire les
around each center . See a lso Kolb and Poison, op. cit., p p .
3 0 -4 1 .
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230
THE SPATIAL AND TEMPORAl PATTERNS OF CITIES
FIG.
1. Theoretica l shape of tributary areas. Circles leave unserved spaces, hexagons do no t.
Small hexagons are service areas for smalle r places, la rge hexagons do tted lines) represent
service areas for next higher rank central places.
to smallest in the following order 1:2:6:18:54, etc.^^
All these f igures are computeHTJnThe basis 'oTSouth Germany, but Chris-
tal ler claims them to be typical for most of Germany and western Europe.
The settlements are classified on the basis of spacing each larger unit in a
Iiexagon of next-order size, so that the distance between simil iar~centers
in the table above increases by the y 3 over the prec edin g smaller catego iy
(in Fig. 1, e.g., the distance from A to B is
y/S
t imes the distance from
A to C ). Th e ini t ial distanc e f igure of 7 km. bet we en the smallest centers
is chosen because 4-5 km., approximately the distance one can walk in one
hour, appears to be a normal service-area l imit for the smallest centers.
Thus ,
in a hexagonal scheme, these centers are about 7 km. apart . Chris-
tal ler 's maps indicate that such centers are spaced close to this norm in
South Germany. In the larger categories the norms for distance apart and
size of centers appear to be true averages; but variat ions from the norm are
the rule, al though wide discrepancies are not common in the eastern por
t ion of South Germany, which is less highly industr ial ized than the Rhine-
Ruhr areas in the west . The number of central places of each rank varies
rather widely from the normal order of expectancy.
TABLE ;
Central Place
Market hamlet {Marktort)
Township center Amtsort)
County seat {Kteissiadt)
District city {Bezirksstodt)
Small state capital {Gaustadt)
Provincial head city iProyinzhauptstadt)
Regional capitol city Landeshauptstadt)
To
Distance
Apart
Km.)
7
12
21
36
62
108
186
wns
Population
800
1 500
3 500
9 000
27 000
90 000
300 000
Tribute
Size
Sq. Km.)
45
135
400
1 200
3 600
10 800
32 400
ify
Areas
Population
2 700
8 100
24 000
75 000
225 000
675 000
2 025 000
12 . Barnes and Robinson present some interesting maps showing the average dis
tance apart of farmhouses in the driftless area of the Middle West and in southern
Ontario. Farmhouses might well be regarded as the smallest settlement units in a central-
place scheme, although they might not be in the same numbered sequence (James A.
Barnes and Arthur H. Robinson, A New Method for the Representation of Dispersed
Rural Population,
Geographical Review,
XXX [1940], 134-37).
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A THEORY OF LOC ATIO N FOR CITIES 231
The theoretkal ideal appears to be most nearly approached in poor,
thinly settled farm districtsareas which are most nearly self-contamed. In
some other sections of Germany industr ial concentrat ion seems to be a more
important explanation, al though elements of the central-place type of dis
tr ibution are present . Christal ler points out that Cologne is real ly the com
mercial center for the Ruhr industrial district even though it is outside the
Ruhr area. Even in mountain areas central i ty is a more important factor
than topography in f ixing the distr ibution of set t lements. Christal ler s tates
that one cannot claim that a certain ci ty is where i t is because of a certain
riverthat would be tantamount to saying that i f there were no r ivers there
would be no ci t ies.
Populat ion alone is not a true measure of the central importance of a
ci ty; a large mining, industr ial , or other special ized-function town might
have a small t r ibutary area and exercise few central functions. In addit ion
to populat ion, therefore, Christal ler uses an index based on number of tele
phones in proport ion to the average number per thousand inhabitants in
South Germany, weighted further by the telephone density of the local
subregion. A rich area such as the Palat inate supports more telephones in
proport ion to populat ion than a poor area in the Bavarian Alps; therefore,
the same number of telephones in a Palat inate town would not give i t the
same central s ignificance as in the Alps. He claims that telephones, s ince
they are used for business, are a reliable index of centrality. Such a thesis
would not be valid for most of the United States, where telephones are as
common in homes as in commercial and professional quarters.
Some better measures of central i ty could be devised, even if only the
number of out-of-town telephone calls per town. Better st i l l would be some
measure of actual central services performed. I t would be tedious and diff i
cult to compute the amount, or percentage, of business in each town drawn
from outside the ci ty, but some short cuts might be devised, l i one knew the
average number of customers required to support certain special ized func
tions in various regions, then the excess of these functions over the normal
required for the urban populat ion would be an index of central i ty. ' ' ' In
several s tates rural sociologists and others have computed the average num
ber of certain functions for towns of a given size. With one or two excep
t ions only small towns have been analyzed. Retai l t rade has received most
at tention, but professional and other services have also been examined.
These studies do not tel l us actually what populat ion supports each service,
since the services are supported both by town and by surrounding rural
populat ion, but they do provide norms of function expectancy which would
be just as useful .
13 . In Iowa, e.g., almost all towns of more than 450 inhabitants have banks, half of
the towns of 250-300, and 20 per cent of the towns of 100-150 (according to calcula
tions made by the author from population estimates in
Rand McNalli/s Commercial Atlas
for 1937).
14.
See particularly the thorough study by B. L. Melvin, Village Service Agencies,
New York State 1925;
C. R. Hoffer,
A Study of Town-Country Relationships
(Michigan
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232 THE SPATIAL AN D TEMPORAL PATTERNS OF CITIES
A suggestive indicator of centrality is provided by tlie maps which
Dickinson has made for per capita wholesale sales of cities in the United
States. ' ' On this basis centers are distribu ted rathe r evenly in acc ord anc e
with regional population density. Schlicr has computed the centrality of
cities in Ge rma ny on the basis of census return s for cen tral occ upa tion s. '
Refinement of some of our census returns is desirable before this can be
done ent i re ly sat isfactor i ly in the United States , but the method is probably
the most promising in prospect .
Another measure of central i ty would be the number of automobiles
enter ing a town, making sure that suburban movements were not included.
Figures could be secured i f the s ta te-wide highway planning surveys in
forty-six states were extended to gather such statistics.
The central-place scheme may be dis tor ted by local factors , pr imari ly
industr ia l concentrat ion or main t ransport routes . Chris ta l ler notes that
t ransporta t ion is not an areal ly operat ing pr inciple , as the supplying of cen
tral goods implies, but is a linearly working factor. In many cases central
places are s t rung at short intervals a long an important t ransport route^ahd
their t r ibutary areas do not approximate the ideal c ircular or hexagonal
shape but are e longated at r ight angles to the main t ransport l ine . '^ In some
areas the reverse of this normal expectancy is true, In most of Illinois, maps
depict ing t r ibutary areas show them to be e longated paral le l to the main
transport routes, not at right angles to them.^' ' The combination of nearly
uniform land and competitive railways pecuTiaf to the state results in main
Agricultural Experiment Station Special Bull. 181 [1928]) (data on number of retail
stores and professions per town); H. B. Price and C. R. Hoffer,
Services of Rural Trade
Centers in Distrilnition of Farm Supplies
(Minnesota Agricultural Experiment Station
Bull. 249 [1938]); William J. Reilly,
Methods for the Study of Retail Relationships
( Bu reau of Business Researcli Mo nog raph s, No . 4, University of Texas Bull. 294 4
[1929]), p. 26; J. H. Kolb, Seruice
Institutions of Town and Country
(Wisconsin Agri
cultural Expe riment Station Research Bull. 66 [19 25] ) (tow n size in relation to sup
port of institutions); Smith,
op. cit.,
pp. 32-40; Paul H. Landis,
South Dakota Town-
Country Trade Relations, 1901-1931, p. 20 (population per business enterprise), and
pp. 24-25 (functions per town size); Zimmerman,
op. cit.,
pp. 16 and 51 ff.
For a criticism of population estimates of unincorporated hamlets used in many of
these studies see Glenn T. Trew artha , The Un incorpo rated Ha mle t: An Analysis of
Data Sources (pape r presented December 28 at Baton Rouge meetings. Association
of American Geographers; forthcoming, probably, in March number of
Rural Sociology,
Vol. VI [1941]).
15. Op. cit.,
pp.
280-81.
16 . Otto Schlier, Die zentralen Orte des Deu tschen Reich s, Zeitschrift der Gesell-
schaft filr Erdkunde zu Berlin
(1937), pp. 161-70. See also map constrticted from
Schlier's figures in R. E. Dickinson's valuable article, Th e Econom ic Regions of
Germany, Ceograp/iicaZ
Review,
XXVIII (1938), 619. For use of census figures in the
United States see Harris,
op. cit.,
pp. 3-12.
17 . For an illustration of this type of tributary area in the ridge and valley section
of east Tennessee see H. V. Miller, Effects of Reservoir Construction on Local Eco
nomic Units,
Economic Geography,
XV (1939), 242-49.
18 . See, e.g.,
Marketing Atlas of the United States
(New York: International Maga
zine Co., Inc.) or A
Study of Natural Areas of Trade in the United Slates
(Washing
ton, D.C.: U.S. National Recovery Administration, 1935).
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A THEORY OF LOCA TION FOR CITIES 233
rai lways running nearly paral lel and close to one another between major
centers.
J n j n ^ h l y indus t r ia lized areas the centra l -p lace scheme is genera l ly so
distorted by industr ial concentrat ion in response to resources and transpor-
_tatioiTIt5at.it may be said to have little significance as an explanation for
urban location and distr ibution, al though some features of a central-place
scheme may be present , as in the case of Cologne and t l ie Ruhr.
In addit ion to distort ion, the type of scheme prevail ing in various regions
is susceptIEIe~to m any influences. Pro duc tivity of the soil, ' ty pe of agricul
ture and intensity of cult ivation, topography, governmental orgiinization,
are all obvious modifiers. In the United States, for example, what is the
effect on distribution of settlements caused by the sectional layout of the
land and the regular size of counties in many states? In parts of Latin
Am erica ma ny centers are kno wn as Sund ay towns ; their chief functions
appear to be purely social, to act as religious and recreational centers for
holidayshence the nam e Sund ay town. - He re social rathe r than eco
nomic services are the primary support of towns, and we should accord
ingly expect a system of central places with fewer and smaller centers, be
cause fewer functions are performed and people can travel farther more
readily than commodit ies. These underlying differences do not destroy the
value of the theory; rather they provide variat ions of interest to study for
themselves and for purposes of comparison with other regions.
The system of central places is not static or fixed; rather it is subject to
change and development with changing condit ions.^^ Improvements in
transportat ion have had noticeable effects . The provision of good automo
bile roads al ters buying and marketing practices, appears to make the
smallest centers smaller and the larger centers larger, and generally al ters
trade areas.-- Since good roads are spread more uniformly over the land
1 9 . Cf .
the emphas i s o f Sombar t , Adam Smi th , and o the r economis t s on the neces
s i ty of surplus produce of land in order to support c i t ies . Fert i le land ordinari ly
p rod uces mo re s u rp lus and cons equen t ly more u rb an popu la t ion , a l though the town
. . . . m a y n o t a lw a y s d e r iv e it s w h o l e s u b si s t en c e fr o m t h e c o u n t ry i n i ts n e i g h b o r
hood . . . . (A dam Smi th , The Wealth of Nations [ M o d e r n L i b r a r y e d i t io n ; N e w
York , 1937] p . 357 ; Werne r Sombar t ,
Der moderne Kapitalismus
[zwe i te , neug ea rbe i t e t e
Auf lage ; Mu nich an d L e ipz ig , 1916] , I , 130-3 1) .
2 0 .
F or an accoun t o f s uch s e t t l emen ts in Braz i l s ee P ie r re De f fon ta ines , Rap por t s
fonc t ionne l s en t re l e s agg lomera t ions u rba ines e t ru ra le s : un example en pays de co lon i
sa t ion, le Bres i l , Comptes rendus du Congres intemationale de geographie Amsterdam
( 1 9 3 8 ) , I I , 1 3 9 - 4 4 .
2 1 .
T he e f fec t s o f booms , d rough t s , and o the r fac to rs on t rade -cen te r d i s t r ibu t ion
by decades a re b rough t ou t in L and i s ' s tud ie s fo r Sou th Dako ta and Was h ing ton . Z im
me rm an and Smi th a ls o s how the chang ing cha rac te r of t rade - cen te r d i s t r ibu t ion ( s ee
n. 10 of t l i is pa pe r for ref ere nce s) . Melv in ca lls a t ten t ion to a vi l lage popul a t io n shif t
l ag ;
in pe r iods o f depre s s ed ag r icu l tu re v i l l ages in New York dec l ined in popu la t ion
approx ima te ly a decade a f t e r the s u r round ing ru ra l popu la t ion had dec reas ed (B . L .
Me lv in , Rural Population of New York, 1855-1925, p . 1 2 0 ) .
2 2 . Mos t s tud ie s ind ica te tha t on ly the ve ry s ma l le s t hamle t s (unde r 250 popu la t ion)
and c ros s roads s to re s have dec l ined in s i ze o r number . T he l a rge r s ma l l p laces have he ld
the i r own ( s ee L and i s fo r Was h ing ton ,
op. cit.,
p . 37 , and h i s
South Dakota Town-
Country Trade Relations 1901-1931, p p . 3 4 - 3 6 ) . Z i m m e r m a n i n 1 9 3 0 (op. cit., p . 41 )
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234 THE SPATIAL AN D TEMPORAL PATTERNS OF CITIES
than rai lways, their provis ion seems to make the dis t r ibut ion of centers cor
respond mo re closely to the no rm al scheme.^^
Chris ta l ler may be gui l ty of c la iming too great an appl icat ion of his
scheme. His cr i ter ia for determining typical-s ize set t lements and their
normal number apparent ly do not f i t actual f requency counts of set t lements
in many almost uniform regions as well as some less rigidly deductive
norms.^*
Bobeck in a later article claims that Christaller 's proof is unsatisfactory.^^
He s ta tes that two-thirds of the populat ion of Germany and England l ive
in cities and that only one-third of these cities in Germany are real central
places . The bulk are pr imari ly industr ia l towns or vi l lages inhabi ted solely
by farmers. He also declares that exceptions in the rest of the world are
common, such as the purely rural dis t r ic ts of the Tonkin Delta of Indo-
China, c i t ies based on energet ic entrepreneuria l act ivi ty , as some I ta l ian
ci t ies , and world commercial ports such as London, Rotterdam, and Singa
pore. Many of these object ions are val id; one wishes that Chris ta l ler had
bet ter quant i ta t ive data and were less vague in places . Bobeck admits , how
ever , that the central-place theory has value and appl ies in some areas .
The central-place theory probably provides as val id an interpretat ion of
set t lement dis t r ibut ion over the land as the concentr ic-zone theory does
for land use within cities. Neither theory is to be thought of as a rigid frame
work fitt ing all location facts at a given moment. Some, expecting too much,
would je t t ison the concentr ic-zone theory; others , real iz ing that i t is an
investigative hypothesis of merit , regard it as a useful tool for comparative
analysis.
n o tes t h a t c ro ss ro ad s s t o res a r e d i sap p ear in g an d a re b e in g r ep l aced b y sm al l v i l l ag es .
He s t a t es fu r t l i e r: I t is ev id en t t h a t c l a im s o f su b s t an t i a l co r r e l a t i o n b e tw een th e ap
p earan ce an d g ro wth o f t h e l a rg er t r ad in g cen t e r an d t h e d i sap p earan ce o f t h e p r im ary
cen t e r a r e m o re o r l e s s u n fo u n d ed . Al th o u g h th e re a re m in o r r e l a t i o n sh ip s , t h e m ain
ch an g e h as b een a d iv i s io n o f l ab o r b e tween th e two ty p es o f cen t e r s r a th e r t h an t h e
co m p le t e o b l i t e r a t i o n o f t h e sm al l e r i n f av o r of t h e l a rg er (p . 3 2 ) .
For fur ther ev idences of effect o f au tomobi le on smal l cen ters see R. V. Mitchel l ,
Trends in Rural Retailing in llllinois 1926 to i9 3 8 (Un iv er s i t y o f I l li n o i s Bu reau o f
Bu s in ess Research Bu l l . , Se r . 5 9 [1 9 3 9 ] ) , p p . 3 1 ff., an d San d e r so n , op. cit., p . 564 , as
wel l as o ther s tud ies ci ted above.
2 3 .
Sm i th (op. cit., p . 5 4 ) s t a t es : Th e re h as b ee n a t en d en cy fo r cen t e r s of v a r io u s
s i zes t o d i s t r i b u t e t h em se lv es m o re u n i fo rm ly wi th r eg ard t o t h e a rea , p o p u la t i o n , an d
resources of the s tate . Or the changes seem to be in the d i rect ion of a more eff icien t
p a t t e rn o f ru ra l o rg an i za t i o n . Th i s r ed i s t r i b u t i o n o f cen t e r s i n co n ju n c t io n wi th im p ro v ed
m eth o d s of co m m u n ica t i o n an d t r an sp o r t a t i o n h as p l aced each f am i ly in f r eq u en t c o n
t ac t wi t l i s ev era l t r ad e cen t e r s
In co n t r as t , Melv in (Rural Population of New York, 1855-1925, p . 9 0 ) , w r i t i n g
ab o u t New Yo rk S t a t e b e fo re t h e au to m o b i l e h ad h ad m u ch e f fec t, s t a t es : In 1 8 7 0 th e
\ i l l a g c s . . . we re r a th e r ev en ly sca t t e r ed o v er t h e en t ir e s t a t e wh ere t h e y h ad b ee n
lo ca t ed ea r l i e r i n r esp o n se t o p a r t i cu l a r l o ca l n eed s . By 1 9 2 0 , h o wev er , t h e v i l l ag es h ad
b ec o m e d i s t r i b u t e d m o re a lo n g ro u t es of t r a \ ' e l an d t r an sp o r t a t i o n an d in t h e v i c in i t y
of ci t ies .
2 4 . Th i s s t a t em en t i s m a d e o n t h e b as i s o f f r eq u en cy co u n t s b y t h e a u th o r fo r
s e v e r a l m i d w e s t e m s t a t e s
(cf.
also Schl ier , op .
cit.,
p p . 1 6 5 - 6 9, f or G e r m a n y ) .
2 5 .
Han s Bo b eck , Ub er e in ig e fu n c t i o n e l le S t ad t t y p en u n d ih re Bez i eh u n g e n zu m
L a n d e , Comp tes rendus du Congres Internationale de giographie Amsterdam ( 1 9 3 8 ) ,
n , 8 8 .
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A THEORY
OF
LOCATION
FOR
CITIES
235
Even in the closely articulated national economy of the United States
there are strong forces at work to produce a central-place distribution of
settlements. It is true that products under our national economy are charac
teristically shipped from producing areas through local shipping-points di
rectly to consuming centers which are often remote. However, the distribu
tion of goods or imports brought into an area is characteristically carried on
through brokerage, wholesale and retail channels in central cities.^ This
graduated division of functions supports a central-place framework of
settlements. Many nonindustrial regions of relatively uniform land surface
have cities distributed so evenly over the land that some sort of central-place
theory appears to be the prime explanation.^^ It should be worth while to
study this distribution and compare it with other areas.^^ In New England,
on the other hand, where cities are primarily industrial centers based on
distant raw materials and extra-regional markets, instead of the land's sup
porting the city the reverse is more nearly true: the city supports the coun
tryside by providing a market for farm products, and thus infertile rural
areas are kept from being even more deserted than they are now.
26.
Harris,op. cit.,p. 87.
27. For a confirmation of thissee the column diagram on p. 73 of Losch op. cit.),
which shows
the
minimum distances between towns in Iowa of three diflFerent size
classes. Themaps of trade-center distribution in the works of Zimmerman, Smith,
and
Landis (cited earlier) also show
an
even spacing
of
centers.
28. The following table gives the average community area for 140 villages
in the
United States in 1930.In thetable notice throughout that (1) thelarger thevillage,the
larger its tributary area in each regionand (2) thesparser therural popu lation density,
the larger thevillage tributary area for each size class (contrast mid-Atlantic with
ar
West, etc.) .
ommunifyAreainSquareMiles
Small Medium Large
Villages Villages Villages
CISO-I.OOO 1,000-1,750 1,750-2.500
Region Pop.
Mid-At lant ic 43
South
77
Middle West 8
For West
Although 140 is only a sampleof thenumber of villagesin thecountry,
the
figures
are
significant because the service areas were carefully and
uniformly delimited
in the
field for all villages (E. deS.Brunner and J. D. Kolb, Rural Socuil Trench [NewYork,
1933],p. 95; see also E. deS.Brunner, G. S. Hughes, and M.Patten, American Agri
cultural Villages
[NewYork, 1927 ], chap .ii).
In NewYork 26 sq. mi. wasfound to be tlie average area per \il lage in 1920. Vil
lage refers to anysettlement under 2,500 population. Nearness to cities, type of agricul
ture,
androutesof travelarecitedas thethree most impo rtant factors influencing density
of villages. Since areas near cities
are
suburbanized
in ^ome
cases,
as
around
New
York
City, thevillage-density in these districts is correspondingly high. Some urban counties
with smaller cities (Rochester, Syracuse,andNiagara Falls) have fewsuburbs, andcon
sequently thevillages are farther a part tha n in many agricultural counties (B. L. Mel-
vin.
Rural Populationof New York, 1855-1925,
pp.88-89; table on p. 89 sliows number
of square miles pervillage in each NewYork c oun ty).
In sample areas of New York State the average distance from a village of 250 or
under toanother of the same size or larger is about 3 miles;for the 2.50-749 classit is
3-5 miles; for the 750-1,249 class, 5-7 miles (B. L. Melvin, Village Service Agencies,
New York, 1925,p. 102; in the table on p. 103 the distance averages cited aboveare
Pop.)
46
3
365
Pop.)
87
46
48
223
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236 THE SPATIAL AN D TEMPORAL PATTERNS OF CITIES
The forces making for concentration at certain places and the inevitable
rise of cities at these favored places have been emphasized by geographers
and other scholars. The phenomenal growth of industry and world trade in
the last hundred years and the concomitant growth of ci t ies just ify this em
phasis but have perhaps unintentionally caused the int imate connection
between a ci ty and i ts surrounding area part ial ly to be overlooked. Explana
tion in terms of concentration is most important for industrial districts but
does not provide a complete areal theory for distr ibution of set t lements.
Fur th erm ore , there i s evidence tha t of la te . . . the rapid growth of the
larger cities has reflected their increasing importance as commercial and
service centers rather than as industr ial centers. ' Some forni of the central-
place theory should provide the most real ist ic key to the distr ibution of
set t lements where there is no marked concentrat ionin agricultural areas
where explanation has been most diff icult in the past . For al l areas the
system may well furnish a theoretical norm from which deviat ions may be
measured. ' ' I t m ight also be an aid in plann ing th e dev elopm ent of new
areas . If the theory is kept in mind by workers in academic and planning
fields as more studies are made, its validity may be tested and its structure
refined in accordance with regional differences.
s hown to be ve ry nea r the modes ) .
Kolb makes s ome in te re s t ing s ugges t ions a s to the d i s t ances be tween cen te rs . He
shows that spacing is c loser in centra l Wiscons in than in Kansas , which is more sparse ly
se t t led (J . H. Kolb,
Service Relations of Totvn a nd Coiintrt/
[Wis cons in Agr icu l tu ra l
E xpe r imen ta l S ta t ion Res ea rch B u l l . .58 (19 2 . 3 ) ] ; s ee pp . 7-8 fo r theore t i ca l g rap hs ) .
In Iowa , the dom inan t fac to r de te rm in ing the size of con \cn icnce -goods a rea s i s
d i s t a n c e (Second State Iowa Planning Board Report [D es Moin es, Ap ril, JOS.'S], p. 1 98 ).
This report conta ins fer t i le sugges t ions on t rade areas for Iowa towns . Valuable de
ta i led reports on re ta i l t rade areas for some Iowa count ies have a lso been made by the
s ame agency .
2 9 .
U.S. Nat ion.a l Resources Committee , Our CitiesTheir Role in the National
Economy: Report of the Urhanism Committee (W as h i ng t on : Go \c rn me nt Pr in t ing Off ice
1 9 3 7 ) , p. 37.
3 0 .
Some form of the centra l-place concept might wel l be used to ad\ 'antage in
interpre t ing the dis t r ibut ion of out lying bus iness dis t r ic ts in c i t ies (cf. Malcolm J .
Prou dfoot , Th e Selec t ion of a Bus iness Si te , Journal of Land and. Public U tility Eco
nomics, XIV [19 38] , e .sp. 373 ff . ) .
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THE NATUREOF ITIES
Chaunctj D. Harris and E dward L. Ullman
Cities are the focal points in the occupation and uti l izat ion of the earth by
mann5oth~a product of and an inf luence on surrounding regior is , they
develop in defini te patterns in response to economic and social needs.
Cit ies are also pa rad ox es. The ir rapid grow th an d large size testify to
their superiori ty as a technique for the exploitat ion of the earth, yetj jy their
very success and c onseq uent larg e size they often pr ov id e a po or local en
vironment for man. The problem is to build the future ci ty in such a manner
that the advantages of urban concentrat ion can be preserved for the benefi t
of man and the d isadvantages minimized.
Each ci ty is unique in detai l but resembles others in function and pattern.
What i s learned about one he lps in s tudying another . Locat ion types and
internal structure are repeated so often that broad and suggestive generaliza
tions are valid, especially if limited to cities of similar size, function, and
regional set t ing. This paper wil l be l imited to a discussion of two basic
aspects of the nature of ci t iestheir support and their internal s tructure.
Such important topics as the r ise and extent of urbanism, urban si tes, culture
of ci t ies, social and economic characterist ics of the urban populat ion, and
cri t ical problems wil l receive only passing mention.
'
T H E S U P P O R T O F C I T I E S .
As one approaches a ci ty and notices i ts tal l
buildings r ising above the surrounding land and as one continues into the
city and observes the crowds of people hurrying to and fro past s tores,
theaters, banks, and other establishments, one natural ly is s truck by the
cont ras t wi th the rura l count rys ide . What suppor ts th is phenomenon? What
do the people of the city do for a living?
The support of a city depends on the services it performs not for itself
but for a tr ibutary area. Many activi t ies serve merely the populat ion of the
city itself. Barbers, dry cleaners, shoe repairers, grocerymen, bakers, and
movie operators serve others who are engaged in the principal act ivi ty of
the ci ty, which may be mining, manufacturing, t rade, or some other act ivi ty.
The service by which the ci ty earns i ts l ivelihood depends on the nature
of the ecQUQiay^nd of J h e hinte rland . C it ies are small or rare in areas ei ther
of primitive, self-suflBcient economy or of meager resources. As Adam Smith
stated, the land must produce a surplus in order to support ci t ies. This does
Reprinted from The Annals, Vol. 242 (November 1945), pp. 7-17, by permission of the
author and the publisher. (Copyright, 1945, by The Annak.)
237