I can be proven wrong, but I don't think it's poor farmers who are responsible for the deforestation of the Amazon. It's mostly big latifund owners with lots of lobbying power.
Gonna scream that one here: mining, look at norwegian and international companies mining in the middle of the forest. Plus previous administrations actions, like a giant power plant that will divert one of the biggest rivers over there.
mining only equates for roughly 10% of the deforestation of the amazon rainforest, we should be looking at the meat industry, it equates for roughly 75% - 80% of deforestation.