which detail from "famine: past, present, and future” best supports the central idea that famine results from a lack of dependable food sources.

We can actually deduce here that the detail from "Famine: Past, Present, and Future” that best supports the central idea that famine results from a lack of dependable food sources is: "When food insecurity exists, people lack reliable and consistent access to food".
Central idea refers to the main thought or message that an idea is trying to communicate to the readers. It usually carries the central message of a passage.
We see here that in "Famine: Past, Present, and Future”, the central idea actually reveals that famine comes as a result of lack of dependable food sources. Thus, we discover that "when food insecurity exists, people lack reliable and consistent access to food".
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central idea in the article "Famine: Past, Present, and Future"?
Food insecurity, which is a lack of dependable food sources, leads to famine.