Economics 104

URBAN ECONOMICS

 
Spring 2003
 
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E. Market Areas and Central Place Theory

Want to examine cities in a larger regional economy

1. Market areas

Area where firm can underprice its competitors

  • Want to look at consumer behavior (demand) and how it affects firms - previously only looked at firm's behavior (supply)
  • Competition => if economic profits are being made, firms will enter market (region) until only normal profits are made

a. Market area determination

(1) Graphical analysis

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(2) Algebraic model

d = per capita demand

e = population density (per mile)

A = total land area (square miles)

q = output per store = amount sold

  • Q = total demand in region = d * e * A

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  • N = number of stores in region = Q / q

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  • M = size of market area = A / N

M = q / (d * e)

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b. Factors affecting market areas

Assume fixed demand

(1) Economies of scale

Increase in economies of scale => q increases, M increases

Ex. - Automobiles

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(2) Travel costs

Travel costs decrease => q increases (easier to transport or to reach store), M increases

Ex. -

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(3) Per capita demand

d increases => M decreases

Ex. - Grocery stores

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(4) Population density

e increases => M decreases

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(5) Income

Higher income => d increases, e decreases

=> effect on market area (M) is unknown, depends on income elasticity of demand for land and for the product

c. Law of demand

  • Relax assumption of fixed demand, take law of demand into account (price and quantity demanded are inversely related)

(1) Decrease in travel costs

  • Effect on M uncertain because q increases, d increases (price decreases)

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(2) Economies of scale

  • Effect on M uncertain because q increases, d increases (cost, price decrease)

d. Different industries

  • Scale economies large relative to per capita demand => small number of firms, large market areas
  • Scale economies small relative to per capita demand => large number of firms, small market areas

Ex. - Restaurants

2. Central place theory

Industries have different market areas, different location patterns

Minimum convenience - gas stations, grocery stores, church

Full convenience - restaurants, hardware stores, drug stores, bars, barber shops, hair salons, banks

Low-order specialty - laundry, clothing, appliances, hotels & motels, shoes, sporting goods

High-order specialty - paint, music, antiques, furniture, automobiles

Ex. - Assume perfect substitutes, single purpose shopping trips, ubiquitous inputs, uniform demand

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  • Activities with the same market areas will locate together - shared parking, roads, and infrastructure (economies of agglomeration)
  • Central places result when activities locate together
  • Hierarchy develops depending on number of services offered

a. Implications

(1) Diversity of city sizes results because products have different scale economies and different market areas

(2) Small number of large cities, large number of small cities

(3) Customers travel to bigger cities, not smaller or same size cities

(4) Doesn't follow exactly - some small areas contain higher order goods, some large areas missing some lower order goods

(5) Gives indication of new business possibilities

b. Relaxing the assumptions

(1) Scale economies

Larger stores, larger market areas, fewer stores, fewer cities

(2) Imperfect substitutes

Leads to comparison shopping => similar stores locate near one another

Ex. - Clothes

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(3) Complements

People buy goods on the same shopping trip => complementary stores locate near one another

Ex. - Restaurants, movie theater

  • Scale economies, imperfect substitutes, and complements do not disrupt urban hierarchy

(4) Variation in demand

Demand could be higher or lower as city size increases

Ex. - Theaters, farm equipment

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(3) Resource-oriented firms

Firms locate near inputs

Ex. - Bat factory

(4) Local input-oriented firms

Locate near cheap labor, energy, intermediate goods

Ex. - Research and development

  • Variation in demand, resource-oriented, and local input-oriented firms may or may not disrupt urban hierarchy