6_Monocentric model: location choice of rich and poor Flashcards

1
Q

What key question does this model explore regarding income groups and city living?

A

It examines whether the rich or the poor will live in central cities based on bid-rent functions and commuting costs.

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2
Q

What are the two income groups considered in the model?

A

𝑦𝐿: Low-income (‘poor’) group
𝑦𝐻: High-income (‘rich’) group

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3
Q

How do commuting costs differ between the two groups?

A

𝑡𝐿: Commuting cost for the low-income group
𝑡𝐻: Commuting cost for the high-income group

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4
Q

How does housing consumption vary between the two groups?

A

ℎ𝐿: Housing consumption for the low-income group
ℎ𝐻: Housing consumption for the high-income group

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5
Q

How does bid-rent function influence where different income groups live?

A

The group with the steeper bid-rent curve will outbid the other for central locations.

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6
Q

What factor determines if the rich or poor live in the city center?

A

The relative importance of commuting costs versus housing consumption preferences.

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7
Q

What does the bid-rent curve tell us about the location of the rich and poor?

A

The group with the steeper bid-rent curve will occupy the central city.

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8
Q

What happens if the poor have a steeper bid-rent curve?

A

They will live in the central city since their bid-rent is higher close to the CBD.

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9
Q

What happens if the rich have a steeper bid-rent curve?

A

They will live in the central city because they are willing to pay more for proximity.

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10
Q

What determines the slope of the bid-rent curve for different income groups?

A

The ratio of commuting cost to housing consumption:

𝑡𝐿ℎ𝐿>𝑡𝐻ℎ𝐻⇒Poor live in central cities

𝑡𝐿ℎ𝐿<𝑡𝐻ℎ𝐻⇒Rich live in central cities

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11
Q

What happens if the rich and poor have the same commuting cost?

A

The location decision becomes uncertain; we need more assumptions to determine who lives where.

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12
Q

What does point 𝑋∗ represent in the bid-rent model?

A

The distance where the rich and poor pay exactly the same price per square foot.

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13
Q

How does the normality of housing as a good affect location decisions?

A

If housing is a normal good, then rich households consume more housing (𝑝ℎ𝐻>𝑝ℎ𝐿), leading them to prefer suburban locations.

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14
Q

If commuting costs are the same for both groups, where will the poor live?

A

The poor will live in the central city since they consume less housing and bid more per square foot.

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15
Q

Why is it unrealistic to assume equal commuting costs for rich and poor households?

A

The largest component of commuting costs is the opportunity cost of time, which is higher for the rich.

income should correspond to, in general, higher-commuting cost

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16
Q

What assumption must be made to generalize location decisions for rich vs. poor?

A

We need to consider differences in commuting costs and housing preferences between income groups.

17
Q

What does the derivative of bid-rent function with respect to distance tell us?

A

It shows how the bid-rent changes as distance from the CBD increases.

18
Q

How do commuting costs and housing consumption vary with income in the bid-rent model?

A

Higher-income households may have different commuting costs and housing consumption, affecting the slope of their bid-rent curves.

19
Q

What is the formula for the income elasticity of housing consumption?

A

𝜀_h_y = (d_h/h) / (d_y/y) - it represents the percentage change in housing consumption due to a percentage change in income.

20
Q

What is the formula for the income elasticity of commuting costs?

A

𝜀_t_y = (d_t/t) / (d_y/y) - it measures the percentage change in commuting costs as income changes.

21
Q

What happens if income elasticity of housing consumption is greater than income elasticity of commuting costs (𝜀_t_y < 𝜀_h_y)?

A

Households prioritize increased housing consumption over reducing commuting costs, leading to the poor living in central cities and the rich in the suburbs.

22
Q

What happens if income elasticity of commuting costs is greater than income elasticity of housing consumption (𝜀_t_y > 𝜀_h_y)?

A

Households prioritize reducing commuting costs over increasing housing consumption, leading to the rich living in central cities and the poor in the suburbs.

23
Q

What does the bid-rent curve look like when 𝜀_t_y < 𝜀_h_y?

A

The bid-rent curve of the poor is steeper, and they occupy the central city, while the rich reside farther from the CBD.

24
Q

What does the bid-rent curve look like when 𝜀_t_y > 𝜀_h_y?

A

The bid-rent curve of the rich is steeper, meaning they occupy the central city, while the poor reside in the suburbs.

25
Q

In the monocentric model, what determines whether people live in the city or suburbs?

A

Whether residents prioritize reducing commuting costs or increasing housing consumption as their income rises.

26
Q

What happens if residents prioritize cutting commuting costs as their income rises?

A

The rich will live in central cities.

27
Q

What happens if residents prioritize increasing housing consumption as their income rises?

A

The rich will live in the suburbs.

28
Q

Historically, where have low-income households in the U.S. tended to live?

A

Closer to downtown.

29
Q

What does the U.S. pattern suggest about high-income households?

A

They prefer buying bigger houses in the suburbs rather than saving on their commutes.

30
Q

What are some alternative explanations for the U.S. pattern of low-income households living downtown?

A

Quality of public services, automobiles, and historical racial segregation.

31
Q

How do location patterns in large cities in other countries differ from the U.S.?

A

High-income households often live in central cities.

32
Q

Why do high-income households in some countries prefer central cities?

A

They may prioritize shorter commutes, and many European cities were built before automobiles, making them harder to navigate by car.

33
Q

According to the monocentric model, how does a dual-earner household’s location compare to a single-earner household (assuming same income)?

A

A dual-earner household will locate closer to the CBD than a single-earner household.

34
Q

How does a household with more children tend to locate compared to one with fewer children (assuming same income)?

A

A household with more children will locate farther from the CBD.