1 central place theory (cpt) assumptions ► isotropic plain ► transportation costs are a linear...

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1 Central Place Theory (CPT) Assumptions ►Isotropic plain ►Transportation costs are a linear function of distance ►Population is evenly distributed ► Rational behaviour ►Consumers have identical preferences ►Market characterized by free entry (i.e.perfectly competitive)

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Page 1: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Central Place Theory (CPT)

Assumptions• ►Isotropic plain• ►Transportation costs are a linear function

of distance• ►Population is evenly distributed• ► Rational behaviour • ►Consumers have identical preferences• ►Market characterized by free entry

(i.e.perfectly competitive)

Page 2: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

- CENTRAL PLACE: settlement that provides goods & services.

- SPHERE OF INFLUENCE: surrounding the CP, area that falls under the economic, social, political influence (hinterland).

- FUNCTIONAL HIERARCHIES: generalizations regarding spacing, size and function of settlements.

- HIGH/LOW ORDER SETTLEMENTS, low order settlements provide simple, basic services (grocery stores, etc) high order settlements have specialized services (universities, concert halls)

Page 3: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Important definitions:

• Threshold:• minimum DEMAND (volume of sales) needed

for a business to stay in operation (and make a “normal” profit).

• Range:• maximum distance over which a good can be

sold from point P (i.e. where real price is low enough that people will travel to market to buy it)

Page 4: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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DistanceQ

D

em

ande

d

Demand

Distance

FLIP

Dis

tanc

e

Q Demanded

Demand

Rea

l Pric

e p

er U

nit

Market

Threshold

Range

Threshold

Range

Market location

Spatial Demand Cone

RANGE:The spatial extent of demand before demand drops to zero

Increasing real price

Page 5: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

5Distance

Q

De

man

ded

Demand

Distance

FLIP

Dis

tanc

e

Q Demanded

Demand

Rea

l Pric

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er U

nit

Market

Threshold

Range

Threshold

Range

Demand = zero

Page 6: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Implications of the RANGE

R

T

M

Isotropic surface

Area of Extra Profit Min area required to stay in business (normal profits)

?Unmet demand for

same good or service

Page 7: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Implication of RANGE:

• room for more than one producer of same good / service• where would producer locate?• > 2*R• avoiding overlap

Page 8: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Implications of the RANGE

R

T

M

Homogeneous plain

?Unmet demand for

same good or service

R

T

M

2R distance

Page 9: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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R

T

M

R

T

M

R

T

M

R

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R

T

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T

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R

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R

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R

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R

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T

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R

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?Unmet demand for

same good or service

Page 10: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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How can problem of interstitial areas of unmet demand be solved?

Page 11: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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R

T

MR

T

MR

T

M R

T

M

R

T

MR

T

MR

T

M R

M

R

T

M

R

T

MR

T

M R

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MR

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R

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Interstitial areas of unmet demand disappear if markets are moved closer together

Page 12: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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R

T

MR

T

MR

T

M R

T

M

R

T

MR

T

MR

T

M R

M

R

T

M

R

T

MR

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M R

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How will market area boundaries form given the ellipses formed by overlapping market areas?

Overlapping Trade Areas•Unfilled demand now served•Competition

Page 13: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

13A system of hexagonal market areas fills the plain so that every consumer is served and no market areas overlap

No Overlapping Trade Areas•Unfilled demand now served•No competition•Every producer making “normal profit”

Homogeneous plain

Page 14: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Further economic / spatial complications:

• T and R are good- or service-specific• Separate demand curves / cones for

each good or service• Why?

• Different levels of demand• Different sensitivity to distance etc.

Page 15: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Distance

Q Demanded

Distance

Good / service A

Good / service B

Good / service C

Page 16: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Distance

Q Demanded

Distance

Good / service A

Good / service B

Good / service C

Range A

Range B

Range C

Page 17: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Distance

Q Demanded

Distance

Good / service A

Good / service B

Good / service C

Range A

Range B

Range C

Page 18: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Page 19: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Page 20: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Orders of Goods / Services

• lower order goods • small T & R • (high frequency, low cost)

• higher order goods• large T & R • (low frequency,

high cost goods)

• i.e. different “geographies” for different goods / services

Page 21: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

A GENERAL GRAPH CONCERNING FUNCTIONS !

Page 22: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

Christaller’s FolliesOr: Why doesn’t this always work?

There are, however, some near perfect examples of Christaller’s theory to be found in the Canadian prairies and the Netherlands.

- Large areas of flat land rarely exist- Transport has changed since his day- People/wealth are not evenly distributed- Folks don’t always choose the central place!- Purchasing power/needs not all the same- Governments have control over location of industry/towns- Perfect competition = unreal- Places don’t stay the same forever- Does not fit industrial areas

There are, however, some near perfect examples of Christaller’s theory to be found in the Canadian prairies and the Netherlands.

Page 23: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Central Place Theory: Recap

• Tertiary activities: the city as a commercial centre…

• …within a hierarchical system• Umlands• Simplifying assumptions• Spatial organization

Page 24: 1 Central Place Theory (CPT) Assumptions ► Isotropic plain ► Transportation costs are a linear function of distance ► Population is evenly distributed

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Central Place Theory

• A way of thinking about hierarchies• Urban centres• Urban functions• Market areas

• A starting point for theorizing about space and spatial dynamics

• The basis for retail and trade area studies for planning urban commercial functions and macro-marketing