Minecraft wiki entry for Survival_in_an_infinite_desert, associated text: In a desert world without any structures (villages for farmland and crafting tables, or other structures just for planks), your sustainable food chain is ultimately based on eating the undead (either directly, or via the skeleton to bonemeal to flower-growing to rabbit-breeding chain, see above). Alternatively, you can just keep moving, like a nomad, and feed on the non-renewable rabbits.