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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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