This paper estimates the Brazilian Amazon’s efficient forestation level. We propose a dynamic discrete choice model of land use and estimate it using a remote sensing panel with land use and stock of carbon of 5.7 billion pixels, at 30 meters resolution, between 2008 and 2017. We estimate that a business as usual scenario will generate an inefficient loss of 1,075,000 km2 of forest cover in the long run, an area almost two times the size of France, implying the release of 44 billion tons of CO2. We quantify the potential of carbon and cattle production taxes to mitigate inefficient deforestation. We find that relatively small carbon taxes can mitigate a substantial part of the inefficient forest loss and emissions, while only very large taxes on cattle production would achieve a similar effect.