
POLS 4641: The Science of Cities
According to best estimates, the world’s population reached 8 billion in November 2022.
The majority of these people now live in cities.

\[ \frac{3.35 \text{ billion}}{60 \text{y} \times 365.25 \text{d} \times 24\text{h} \times 60\text{m} \times 60\text{s}} \approx 2 \]
Which city do you think is growing the fastest (people per hour)?

For all the reasons we discussed last week, cities create economic opportunities. Urbanized countries tend to be wealthier.
When should we expect a country to urbanize?
To get some intuition, let’s consider a stripped-down version of the mathematical model in Krugman (1991).

When does make sense to produce all the shirts in one location and ship them to the other locations?
\[ (1-c)N + TF < 1N \]
When does make sense to produce all the shirts in one location and ship them to the other locations?
\[\underbrace{(1-c)N}_\text{factory production cost} + \underbrace{TF}_\text{transport cost} < \underbrace{1N}_\text{village production cost}\]
Divide each side by \(N\), add \(c - 1\), and you get the conditions under which agglomeration is cheaper:
\[T\left(\frac{F}{N}\right) < c\]
In other words, you should expect countries to urbanize when:
Today and in the deep dives, we’ll talk about three significant periods of urbanization in human history.
Each one was preceded by at least one new technology that:
Agricultural Productivity \(\left(\frac{F}{N}\right)\):
The “2nd Agricultural Revolution” significantly increased agricultural productivity.
These improvements meant that far fewer people needed to work on farms in order to produce the same amount of food.
In the early 1800s, 90% of Americans lived on farms.
That number is roughly 1-2% today.

Scale Economies \((c)\):
At the same time that productivity improvements made it so that fewer people needed to work on farms…
…we developed new technologies that made it particularly lucrative to agglomerate workers into cities.

Transportation Costs \((T)\):
New modes of transportation dramatically reduced the cost of moving goods across the country.
Canals linked the Great Lakes to New York and the Mississippi River.
Railroads opened up areas of the country not previously connected by water routes.


These three technological advances – improvements in transportation, agriculture, and scale economies – transformed US society.
From a country where 90% of people lived on farms to a predominantly urban nation within 50 years.





It’s wicked hard to organize large groups of people.
As the size of a group increases, it becomes more difficult to manage relationships and resolve disputes.
In an apartment with 4 roommates, there are 6 possible sources of conflict.
In a club with 30 members, that number is 435.
In a sorority with 300 members, there are 45,000 possible conflicts.
This is Metcalfe’s Law again.
Traditional societies tend to be organized in small bands of 100-200 individuals (Dunbar 1998).
One reason we have such a large neocortex is to help keep track of all these social relationships.
But a city like Uruk (est. pop. 40,000) is well beyond what our brains can support.

Without a state to organize large-scale collective action, settle disputes, and administer laws, cities with many thousands of people would be impossible.
Around 3,000 BC in Mesopotamia, we see the confluence of three innovations that change everything:

Without a state to organize large-scale collective action, settle disputes, and administer laws, cities with many thousands of people would be impossible.
Around 3,000 BC in Mesopotamia, we see the confluence of three innovations that change everything:

Without a state to organize large-scale collective action, settle disputes, and administer laws, cities with many thousands of people would be impossible.
Around 3,000 BC in Mesopotamia, we see the confluence of three innovations that change everything:

Rivers provide:
Thousands of acres of land under cultivation
Enormous quantities of wood (both for fires & construction)
Goods traded from other ecological zones

This would be logistically impossible without a method for reliably transporting goods over long distances.
A Puzzle: Why did all these early cities rely on cereal grains (wheat, barley, rice, maize) instead of other kinds of crops?
Grain-only diets are bad for you!
Comparing skeletons of agriculturalists vs. hunter-gatherers during this period, the former were malnourished and several inches shorter on average (Cohen, Wood, and Milner 2015).

A Puzzle: Why did all these early cities rely on cereal grains (wheat, barley, rice, maize) instead of other kinds of crops?
Grain-only diets are bad for you!
Comparing skeletons of agriculturalists vs. hunter-gatherers during this period, the former were malnourished and several inches shorter on average (Cohen, Wood, and Milner 2015).
But from the point of view of the elites, grain is the perfect crop. It is easy to tax because it all ripens above-ground at the same time (Scott 2017).
Early city-states were stationary bandits (Olson 1993).

So it makes sense that cities first appears in the places where there are lots of wild cereals available for domestication (Mayshar, Moav, and Pascali 2021).
The last piece of the puzzle, which falls into place around 3000 BC, is writing.
Stationary banditry isn’t possible without a way to keep records. How many people live here? How much grain are they producing?

The last piece of the puzzle, which falls into place around 3000 BC, is writing.
Stationary banditry isn’t possible without a way to keep records. How many people live here? How much grain are they producing?

The last piece of the puzzle, which falls into place around 3000 BC, is writing.
Stationary banditry isn’t possible without a way to keep records. How many people live here? How much grain are they producing?

With these prerequisites in place, cities start to pop up across the globe.
But cities make up a small fraction of the population for the next few thousand years.
History focuses on these places because they’re the ones that leave archaeological records, but the vast bulk of humanity didn’t live in cities.
That started to change only recently.

What happened?
That will be a central topic of our deep dives on Thursday.