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Assume enough bombs have been dropped for there to be a nuclear winter which would impede the growing of crops and cause famine. Modern infrastructure in most major nations has collapsed, and all the combined deaths from the aftereffects (fallout, societal breakdown, and the aforementioned famine) are expected to reach at least two billion.

In one of the countries most affected, like the United States, what's the largest settlement that could continue functioning indefinitely after the war? I highly doubt any major cities would remain after a few years, but what about towns, villages and hamlets? Could smaller settlements find a way to survive? If so, what do you think would be the maximum sustainable population when modern amenities are gone and the people are living off scavenged pre-packaged food and subsistence agriculture in the middle of a nuclear winter?

Z.Schroeder
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    Cities with millions of inhabitants existed before 1900, fed by coal-powered railways and waterways from agriculture far away. Which of these cities were not bombed during your nuclear war? Refugees flee...but will probably return to unbombed cities as the postwar economy takes shape and banks and factories and hospitals and universities restart. – user535733 Jul 11 '17 at 16:30
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    There are two factors that we need to assess here: radioactive fallout and degree of cooling. If the city is affected by radiation, it's population, while initially high, would be sick and dying not much later. For the cooling, are we talking 1-2 degrees C for one year, or 10+ degrees C for 10+ years?

    One year survival would be primarily dependent on food storage and not agriculture. In 10 years, situation may turn to a completely opposite one.

    – Alexander Jul 11 '17 at 17:34

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According to an answer to a previous question, it is possible to support one person per 800 $m^2$. Converting that to square kilometers, we get 1250 people. Converting to square miles, about 3200 people. Roughly half the world's land is used for farming, as per National Geographic. So cut that down to 1600 people. Let's assume that the original estimate was generous. We have 1000 people per square mile.

Assuming people have to walk to their farms from a central, fortified town, that gives us a community size with a three mile radius or roughly twenty-eight square miles. This is because it takes about an hour to walk three miles. And a daily commute length of an hour each way is feasible. So roughly 28,000 people in the community.

This gives us an upper community size of 28,000. To support a larger community, it would need to trade with smaller communities. It would have to offer something for which people would trade food that they couldn't just build themselves. And it would have to be something that they would need continuously. Otherwise the large community would starve as soon as it ran out of communities with whom to trade.

Some communities may be able to survive longer if they are powered by nuclear or renewable fuels and have access to stored frozen food. But that won't work perpetually. Eventually the food stores will run out. For longer term survival, they need to find new food sources.

The same problem applies with scavenging food. That can work for the first year or two, but after that the food will have spoiled. Certainly anything that is served fresh. But even things that are canned will run out eventually. If you wait long enough, the cans will fail. They can rupture after getting too hot or too cold. Or the steel rusts away.

Post-apocalypse survival favors small, distributed communities over large central communities. For defensive purposes, a three mile radius might be too large. If it takes an hour of hard marching to respond to an attack, then attackers can do significant damage to the crops before being repelled.

Brythan
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  • 800 square meters per person is very optimistic and isn’t taking into account nuclear winters, radiation, lack of chemical fertilizer, etc.
  • A square kilometer is bigger than a square mile. You did the math backwards.
  • What does half the world’s land being used for farming have to do with anything? Isn’t the community built on arable land?
  • Why wouldn’t people live on their own farmland so they don’t have to walk hours to their farms?
  • Large communities always rely on trade with outlying communities, it’s how cities of hundreds of thousands have existed for thousands of years.
  • – Mike Nichols Jul 11 '17 at 21:36
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    @MikeNichols A mile is longer than a kilometer, about 60% longer. Each square mile is about 2.6 square kilometers. You say that 800 is too optimistic and then complain that half is too pessimistic. Those kind of things cancel out. You don't live on your farm because you can't defend 27 $\text{mi}^2$, but you can defend a small town. And you can't rebuild trade immediately after an apocalypse. You don't have high tech resources because the big cities were destroyed. No ports for shipping oil and coal. You don't have low tech solutions because we abandoned them for high tech. – Brythan Jul 11 '17 at 21:53
  • @Mike Nichols A square kilometer is bigger than a square mile? I get 1250 and 3237 respectively for his numbers. Also, he used the fact that half of the land is used for farming to calculate the area needed to sustain the amount of people he was considering. I do agree HOW that land is distributed is up for debate, but I also argue that in a nuclear winter, they would probably need MORE land to grow anything, but I'm not a botanist. Maybe there is a low light plant capable of supporting human life? – ozone Jul 11 '17 at 22:00
  • @Brythan Completely right about miles and kilometers. No idea what my brain was doing. Half the world being used for farming has no relation to whether half the land in a given area can be used for farming. It's simply completely unrelated. Small indefensible communities exist despite hostile environments. Generally an army is used to protect them. Animal and person powered carts were used to transport food and other goods to support cities of hundreds of thousands 2000 years ago. Carts aren't hard to fashion, in fact we would have lots of spare wheels and a fantastic road infrastructure. – Mike Nichols Jul 11 '17 at 22:11
  • @MikeNichols Carts are easy, but they don't magnify the daily distance. Animals are tougher. We don't raise large numbers of draft animals these days. Yes, there are some, but not enough to support large communities and not in the right places. Give it a hundred years and that would change. But in the near term, it wouldn't work. And even if they did, why would the farmers give their product to the city? What does the city offer them? We can argue about how much land is arable, but even on a farm, not all land is available. Think forest, stream, hills, roads, buildings, etc. – Brythan Jul 11 '17 at 22:37
  • @Brythan The point I'm trying to convey in under 600 characters is that you are making a large number of assumptions that might be plausible but are not givens in the question. The idea that the maximum community size will be limited by the distance people can walk in an hour is simplistic and unjustified. – Mike Nichols Jul 12 '17 at 00:26