Paper written in 2020 by Mauro Bologna and Gerardo Aquino that links the sustainability of the current world population growth and the parallel deforestation process. Based on the current resource consumption rates and best estimate of technological rate growth the study shows that we have very low probability, less than 10% in most optimistic estimate, to survive without facing a catastrophic collapse.
Complete article: https://www.nature.com/articles/s41598-020-63657-6