University of Washington
Geography 207 (Economic Geography)
Professor Harrington
Central Place Theory
 

Location of central places
Hierarchies of central places

From the last lecture, we noted that economic activity concentrates in cities because of a variety of external economies — benefits that increase the value of city locations to all users.
While there are also external diseconomies of agglomeration (such as the costs of congestion, which are greater for the place overall than they are for the individuals who cause the congestion), cities persist as long as the economies are greater.
 


What determines the location of cities?
TRANSPORTATION  ROUTES, especially naturally provided rights-of-way like rivers and ocean harbors, reinforced by expensive human-produced rights-of-way like major rail routes
SPECIALIZED  FUNCTIONS, such as mining or natural-resource oriented manufacturing, that need to be in a particular place and that employ people who in turn need services
RELATIONSHIP  TO  OTHER  SETTLEMENTS, since two very large cities are not likely to survive very close together.

Why is this?  Why is there a tendency for large cities to be separated by smaller cities, and smaller cities to be separated by towns and villages?

In addition to port and manufacturing functions, most settlements serve as central places:  places where goods and services are exchanged (for money), usually attracting local residents to staff the markets and provide services.   They provide these market and service functions for a surrounding area, called a hinterland.  (Think about the agricultural region whose land prices are determined by the distance to the market center).

This way of looking at the world would expect a set of settlements of about the same size, each serving as a central place for an agricultural hinterland.  The fact that some settlements also have port, transport, and manufacturing functions will make some places larger than others.
 


What else makes some places larger than others?
Some goods and services can be provided at a small scale, for a small, localized market (grocery stores, barber shops, gas stations).  But some goods and services require larger market areas —

These goods and services will not be sold in every central place that sells groceries, gas, and haircuts.

The threshold of a good (or service) is the minimum service area or hinterland required to contain enough people to support the provision of the service:  smaller for inexpensive, every-day, lower-order goods and services;  larger for expensive, seldom-purchased, higher-order goods and services.   See pages 247-250 of the Hanink text.

We also can speak of the range of a good or service:  the maximum distance that most people will travel to buy the good or consume  the service.

Note that the area represented by a threshold varies with the density of population, while the range is a distance.  In areas with very sparse population, it’s conceivable that some goods won’t be offered at all:  the threshold required for providing the service is greater than the range for enough people to support it.

Some central places, high-order central places, contain a full range of goods and services, and serve large hinterlands.  Some points in such a large hinterland are too far from the central place for it to be their source of low-order goods:  the range of those goods is not large enough for many people to travel a long distance to consume them.
Other central places, low-order central places, provide relatively few goods and services, and serve small hinterlands.  Their hinterlands will also be the hinterlands for some high-order central place, from which residents will obtain high-order goods and services.
(See Hanink, pp.283-8).

This gives us a nested hierarchy of hinterlands and central places.  Each hinterland is theoretically a circle around a given central place.  [note drawing in class]
 

However, adjacent circles do not fill a two-dimensional space [illustrate in class].  The best way to fill a two-dimensional space, with the minimum number of polygons, is to use hexagons.  [draw hexagons]
Nesting these hinterlands would give us a pattern of lower-order central places in the corners of the hexagons of the higher-order hinterlands.  [Figure 7.11 in the S&deS text]
The overall pattern of central places and their hinterlands would look like Figure 7.12 in the S&deS text [transparency in class].  There are 3 times as many central places of one order as there are central places of the next higher order;  which is to say that the hinterlands of one order of central place is three times the size of the hinterlands of the next-higher-order place.
We call this a k = 3 hierarchy.

Recognizing the utility or likelihood that the lower-order central places will actually thrive along the transport routes that link higher-order places, a more realistic pattern is to arrange the lower-order centers in this way, as in Figure 7.13b in the S&deS text.  This yields 4 times as many central places of one order as there are central places of the next higher order.  We call this a k = 4 hierarchy.

Of course, this theoretical pattern of central places (also called CENTRAL  PLACE  THEORY -- a theory of city formation and location as a function of their roles as central places) is not the only determinant of the location of cities.  As we noted at the outset, cities’ locations are also determined by major transportation facilities such as natural harbors, navigable rivers, and the presence of flat, dry land with some fresh water available.  In addition, the location of a key natural resource or manufacturing activity may determine the location of a city.

However, these other reasons for city location merely skew the natural inclination to a nested hierarchy of large and small cities.
 


[For more background and some empirical information]  Read through the remainder of Hanink's Chapter 8 or Stutz & deSouza's Chapter 7, to pick up
1) the empirical studies of actual patterns of city location in the American Midwest and in the new settlements on reclaimed land in the Netherlands,
2) the notion of central-place hierarchies among retail centers within a metropolitan area [we'll go over this in class], and
3) to understand the rank-size rule.


revised 8 May 2000