This is mostly a result of zoning, isn't it? The high land value areas are the ones where you're less prohibited from building taller buildings. If the thing people actually want is indoor space then the piece of land where you can build a skyscraper is worth a lot more than the one which is limited to a single family home.
Someone should probably tell the homeowners with a high ratio of land to house who like to see their property values increase.
It's not just zoning, though that exacerbates it. City centers are where economic activity tends to be concentrated so even without zoning you would see these exponential land value effects as you approach the centers of economic activity (and indeed, we did see these same relative patterns prior to the passing of modern zoning laws).
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