Unfortunately, the above is untrue.
First, if some Africans can sell more food to Europe and the USA, that will make only them richer - other Africans will still hunger. The present famine in Niger (yes, that Niger - the yellowcake-producing Niger; Americans would do good to care more about this famine than the Plame case) was not caused by insufficient crop returns, but newly 'liberalised' prices (at Western demand) that made even locally produced food too expensive to buy for many.
Second, while trade in food between Europe and Africa and the poorer part of Latin America is not liberalised, it is still on-going by way of special quotas. (The USA used to attack the EU banana quotas at the WTO.) Who would benefit from trade liberalisation? Not the poorest: the poorest would be out-competed by industrialised agriculture in countries like Brazil and Argentine (or more precisely, by large landowners in those countries who run industrialised agriculture).
Unfortunately, saving the Third World by fair trade is another neoliberal mirage. *Lunatic*, n. One whose delusions are out of fashion.
It ignores the increasing transportation costs, input costs of food production, and time to market.
The assumption the economy is linear is incorrect.
The prediction X follows Y in the current economic climate (Technically, Fitness Landscape) necessarily limits future economic activity to X always following Y is incorrect.
I agree the neoliberal - I assume DoDo is refering to Neo-Classical economic theory - position that "Free Trade" is a panacea is incorrect.
And please see my response to Colman, below.