This image is beautiful to me:
Note that the integrated system on the left is 70 hectares (about 173 acres), and the conventional or more monocrop/monoculture system on the right is 370 hectares (about 914 acres), though if you read the abstract they mentioned 420 hectares needed for conventional agriculture.
See the image and abstract at
A socio-eco-efficiency analysis of integrated and non-integrated crop-livestock-forestry systems in the Brazilian Cerrado based on LCA. The abstract is replete with analyses of inputs required for both systems and the number of Brazilians that will be fed.
This study is from 2018, but certainly there have been more since then.
Edited to add: carbon farming is not always equal to permaculture/polyculture, though I do think there is some crossover and this abstract fits for both. I just didn't have
enough character space in the subject line to include carbon farming, too!