mccann urban and regional economics.pdf
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S b ?BANANI REGIONAL ECONOMICS
With the pointsM4, andM, s the spatial reference points, the new Weber optimum
is G. At point G it becomes advantageous for the firm to serve market point M ather
than
M3. his is because M, is nearer toG than M,, nd @
) >@ 3d3).Therefore,
the firm makes a greater profit from sellingautomobiles to marketM, han to marketM,.
The firm could switch markets completely from
M
o
Ms.
lternatively, it could decide to
supply both markets M, to M,. Under these conditions, it may be that a new optimum
location of
H arises, in which the firmat H buys from two supplier locations
M
and M,,
and sells at two market locations, M3 andMs. ore complex arrangementsare possible.
or example, in order to guarantee sufficient supplies of steel inputs for the newly
expanded automobile market of (M3 M, ,he firm may decide to continue to purchase
steel from both MI and
M4,
s well as purchasing plastic from
M,.
Now we have a Weber
location-production problem with M,, M,, M3,M4,nd M, as spatial reference points.
Once again, this will move the Weber optimum away from point H, and will also alter the
inter-regional.equilibriumwage gradient.
This type of geometrical arrangement, in which a firm has multiple input sources and
multiple okput market locations, is the norm for firms in reality. Although our analysis
here has been developed primarily with only two input source locations and one output
market location, the Weber location-production arguments
and the associated
isodapane
analysis are perfectly applicable to the case of firms with multiple input
and
output
locations. The reason for employing the ' angular case of the two input locations and
one output market location is that this particular spatial structure s simply the easiest
two-dimensional model to explain. The model is designed to help us understand the
advantages which geography confers on particular locations as sites for investment. A
first key feature of the Weber model is therefore that it allowsus to understand the factor
price conditions under which other areas
will
become more attractive as locations for
investment. Secondly, the model allows us to see location as an evolutionary process, in
which changes in factor prices can engender changes in location behaviour,
which
them-
selves can change the supply linkages between suppliers, firms, and markets. Industrial
location problems are inherently evolutionary in their nature as firms respond to new
markets and products by changing their locations, and by changing the people they buy
from and the people they sell to.
All
of these are spatial issues.
There is one final issue relating to the Weber model which needs to be addressed. In
reality, firms are constantly changing their input suppliers and output markets in
response to changes in input and output market prices. From our Weber analysis, these
changes will also imply that the optimum location of the firm is continuously changing,
and that in order to ensure the profitability of any particular location the equilibrium
inter-regional factor price gradient must also be conunuously changing. However, obser-
vation tells us that 6rms n reality do not move 7ery frequently, and this
raises
the
question of the extent to which the Weber model is a useful analytical tool to describe
industrial location behaviour. I
The reasonwhy firms arenot continuouslymovin s that the relocation process itself
usually ncurs very sip-iscant costs,suchas the dismantlingof equipment, he
moving
of
peopie
and
the K i r ~ gf new staff. Part of the Oansartions
mts
assodaied
with
relo~xi-
tion are ako reiated to inforrilaticn a r~d ncewinty, which are ~ G ~ CS e
wil
dzzl
w ~
l akr n
the chapter. However, within the above framework we
can
easily ifcorporate
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land; consequently, local real-estate prices wi l l tend to ncrease, as w i l l ocal abour prices.
These ircreases in the prices n f local factor inputs w i l l reduce profits, ceteris paribus
thereby reducing the attractiveness of the area as a location for the firms. This raises the
question how ong wi ll t he cluster of firms continue to exist profitably in he area? This
question of industrial clustering is the topic o f the nex t chapter,
in
which we discuss
agglomeration economies, the growth of cities and urban hierarchies, and centre-
periphery relationships.
Discussion questions
1 How does the location of input sources and output markets determine the location
behaviour of the firm7
2
To what extent are firm-locational changes dependent on the substitution
characteristics of the firm's production unction?
3
In what ways can space confer monopoly power?
4 What role can location play in the competitive strategy of firms. and how are location
and price strategies interrelated?
5 What role do logistics
costs
play in determining location behaviour?
6
What insights are provided for industrial ocation analysis by behavioural theories of
firm behaviour?
Appendix 1 I
heOne Dimension Location
Problem
Within the Weber framework, we can summarize the relative strength of the
transportation pull' towards any particular nput source point.
If
at any particular
location. A(m;t,d,) > A(m$J2) as the firm moves away from input source1and towards
.
input spurce2 (where A represents a marginal change), the firm should move towards
input. source 1. This i s because the marginal increase in the total transport costs for the
shipment of input
1
s greater than the marginal fall in the total transport costs for the
shipment of input
2
Alternatively, if A(m,t,d,)
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hapter3
The Spatial Structure of the
Urban conomy
3 1
ntroduction
In the two previous chapters we discussed the reasons for the variations in the spatial
patterns of industrial investment and activity. As we have seen, firms will locate in differ-
ent areas for different reasons, and where this behaviour leads to the co-location of firms
we observe spatial concentrations of investment. In some cases, the various advantages
which are sometimes assodated with spatial concentrations of such activity, give rise to
the growth of both cities
and
also hierarchical systems of cities. As we know, individual
cities c n grow to be very large, and in some cases as large as some individual small
countries. There will, however, be a variety of different people living within such spatial
concentrations, and
lso
there will be a variety of activities taking place within the city.
This consequently brings us to the question of how such people and activities are distrib-
uted within the individual urban economy.
In discussing how people and activities are distributed within the urban economy we
focus on the question of urban land use. In other words, we try to explain why certain
groups of people, or certain industrial activities, occu'py land at particular locations
within the city economy. Observation of the behaviour of urban economies suggests that
there are two key features common to all urban areas. These features are that, in general,
land prices tend to fallwith increasing distance from the city centre at a diminishing rate,
and that the average land area occupied by each household or business activity tends to
increase with increasing distance away from the city centre. Given that there is a market
for land in which land is allocated according to users, in order to understand the alloca-
tion of land within the
city
and the relationship between location and land prices, we
must therefore ask the question of how much people or firms are willing to pay in order
to occupy land at any particular location. In sections
3.2
to
3.4
of this chapter we will
construct a set of models namely a von Thunen
model
and a bid-rent model, which are
most commonly used to explain
such
phenomena. In the subsequent sections, these
models
will
be contrasted with alternative explanations of the stnccture of urban land use
and land prices.
We begin y constructing a one-dimeniicna
model
of the relaYonship between loca-
tic? and laid-rent,
bs d
on the analysis
o
von Thanen (1826). The VOE Tnunen mcdel
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