Hello David,
Isn't your model a bit too abstract, yet at the same time incomplete as it does not allow for growing population and continued reduction in arable land? ..
Hello Robert. Just FWIW, note that
(i) land nowadays has almost nothing to do with making food.
within say 50 years, certainly 100 years, land will have zero input in making food.
Adding to this the continued reduction of arable land ....
(ii) note Robert that the amount of arable land is at an all time high, it continually increases, and is sort of going parabolically upwards. There is currently a huge, huge, huge, huge excess of arable land.
There is currently a huge, huge, huge, huge excess of arable land per the human population (10s of times more arable land than is needed) and this will continue, as mentioned in point (i) until land is completely 100% unrelated to food creation. Arable land is in so excess that it is worth almost nothing, can't give it away. In sophisticated countries (eg, France, UK) arable land is so utterly worthless that it is sold (amazingly) as just scenery, for pleasure, horse riding, artistic use, etc, since there is so much excess land and excees food and food prices are so low that arable land is useless.
(iii) note that it's fairly easy to create land, and indeed in 50-150 years it will be trivial to do so.
{But there would be no reason or need at all to do so, there is essentially unlimited land, there is so much utterly unused land. The sentence "all land on earth is unused by humans" is so close to being true it makes no odds.}
(iv) note that food prices have constantly plummeted since time immemorial, and they will continue to do so.
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