There will not be a famine in the sense that food is unavailable.
Due to modern transportation, food will be available almost everywhere.
However, some people will not be able to afford to buy food. Unless they are the beneficiaries of feeding programs by wealthy governments, they will be malnourished or starve.
As more and more people are not able to afford food, governments will run out of money to pay for their food and more will starve.
Due to modern transportation...
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Good thing there is no pressure on diesel, exhaust fluid, trucks, or truckers.